diff --git "a/data/dm_maths/full_data_1/1890_11255.jsonl" "b/data/dm_maths/full_data_1/1890_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1890_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Two letters picked without replacement from {q: 2, x: 2, g: 8}. What is prob of sequence qg?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkvavvvvvxvvaxva. What is prob of sequence kxvx?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -163. Which is smaller: -59 or m?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -5)*(-10 + 9). Sort -2, 2, z, -3 in descending order.\nAnswer: 2, -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -460*d + 5 - 268*d - 31*d to the form l + m*d and give m.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977033 is divided by 977033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 10:23 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-605)\/(-110)*(-87)\/319.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/8)\/(14\/((-672)\/12))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216953308 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - -44\nAnswer: 43.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 2.2411864.\nAnswer: 2.3411864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)*2 - 23. Let u = i - -24. Solve -2*k - 3 - u = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88639794 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-14)*m*m\/(m**(-2\/41)*m)*m assuming m is positive.\nAnswer: m**(-449\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3260 + 1608 + 1632 - 59*g)*(23*g - 41*g + 17*g) to the form i + m*g**2 + x*g and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -9. Let a = g + 24. Suppose 2*r - 134 = y, -r + 42 = -5*y - 16. What is the remainder when r is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10850*w**2 - 3616*w**2 - 3614*w**2 - 3615*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-72)\/(-2))*3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 23 + 1885*c**3 + 1 - 26.\nAnswer: 1885*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9739, -38557, -86475, -153493?\n\"Answer: -9550*v**2 - 168*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 201, 183, 147, 87, -3?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845280.\nAnswer: 2, 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.6 - -6. Let c be ((84\/(-16))\/(-7))\/(426\/4544). What is the third biggest value in 1\/7, l, c, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(1\/2). Let k = b + 6. Let i be (-1)\/(-1) - k\/7. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**3 + 6*v**2 - 8*v - 7. Let o(m) = 7*m**3 + 11*m**2 - 16*m - 15. Let r(s) = -2*o(s) + 5*z(s). Suppose h - 21 = -30. Calculate r(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4108971 is divided by 91?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 3*x**2 - 4. Let w be q(-2). Suppose -1 - 9 = -5*j, w = -2*u + 4*j. Calculate the highest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, -6928, -28724, -72518, -145642?\nAnswer: -255428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -33311?\nAnswer: -33302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(((a*(a\/(a\/(a*(a**(-2\/7)\/a)\/a*a)))\/a)\/a)\/a))\/a)\/a)\/a)**(-16\/5)*(a*a*a\/a**3*a)\/a*a*(a*a*(a**3\/a)\/a*a*a)\/a assuming a is positive.\nAnswer: a**(143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2440592, -2440593, -2440594, -2440595, -2440596, -2440597?\nAnswer: -2440598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190230 and 21590.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 17*x**8\/56 - 32*x**6\/15 - x**5\/20 - 2261*x**4\/12 - 4023*x. Find the third derivative of u(l) wrt l.\nAnswer: 2040*l**3 - 1536*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a6a95a (base 11) to base 4\nAnswer: 110003030012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 5*q**2 + 2*q + 4. Let n(k) = 5 + 2*k**2 + 0*k**2 + 6*k - 3*k**2. Let z be n(6). List the prime factors of p(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(12)\/sqrt(2)))\/(-6*(sqrt(45) - sqrt(5))) + sqrt(45) + 1*(sqrt(45) - sqrt(45)*1 - sqrt(45))**2 + 4 + 0.\nAnswer: 35*sqrt(5)\/12 + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 5*s + 77, 203*x - 204*x = -s + 10 + 27 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -5575.\nAnswer: -5576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -10*v + 11*v. Calculate the remainder when 40 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1039899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 6*c**2 - 6*c - 3. Let b be u(-5). What is the smallest value in 1, 3, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5 (c) -5 (d) 10\/11 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -56, -53, -40, -11?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 11. Suppose -w*q = -22 - 2. Is 5 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1 - 2*z - 8 + 9. Let m(o) = 6 - 2 - 3 + 0*o**2 - o**2. Let n(c) = c**2 - 2. Let x(a) = -2*m(a) - n(a). What is x(f(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 12162077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 18*h**2 + 16*h - 8. Give d(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35906 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**2 + 2*d**2 + 5*d + 5*d**2 - 17*d.\nAnswer: 13*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*z = -7*s + 16, -4*z = -s + 4. Let c be 210\/(-66) - s\/(-22). Let t = -4.5 - 0.5. What is the closest to -0.1 in 3, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 + 1. Let z be (14 - 2)\/(20\/170). Let d = -103 + z. Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1363 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 3*c - 3*c - 3)*(-2*c**3 - 6*c**4 + 3*c**4 + 0*c**3).\nAnswer: -6*c**5 + 5*c**4 + 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -61. Suppose -8 = -3*b - t, -w*t = -b + 22 - 6. Suppose b*o = -4*f + 216, 2*f + 10 = 2. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (1 + sqrt(98) - sqrt(98)))*1 - sqrt(98) - sqrt(98) - (sqrt(98) - sqrt(98)*1*-3))**2.\nAnswer: 70*sqrt(2) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5 = -2*d, -4539 = -1136*d - 18250*y + 18245*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 26*o**3 - 29*o**3 - 3*o**3 + o**2.\nAnswer: -58*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 572\/(-342) + (-10)\/45. Sort b, 0.5, -1 in decreasing order.\nAnswer: 0.5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 5*j**2 - 9*j + 10. Determine f(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 115220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 741 and 22182576.\nAnswer: 22182576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.139 in -2\/7, -1, 0.051, -431.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -6. Let c = y + 13. Solve -2*x - v + 1 = c, 5*x + 0*v = -5*v - 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - -31. Suppose l = -6*f + 2*f - n, -f + n - 25 = 0. Calculate the least common multiple of 3 and f\/84 + (-30)\/(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 523100330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2449872 by -428.\nAnswer: -5724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5259, 0.02, -4, -5, 5 in descending order.\nAnswer: 5259, 5, 0.02, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1430 - -1054. Is 108 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -3*p**6\/80 + 3*p**5\/80 + p**4\/8 - p**3\/8 - 3*p**2\/16 + 285*p - 1. Find h such that x(h) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36699307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*r + 66 = 0, -4*x + 2*r = -0*r - 320. Suppose 0*f - x = -4*y - 2*f, -5*f + 79 = 3*y. Suppose -o - 73 = -4*g, 0 = -4*o - 6 + y. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - 16\/(-4))*-1. Let l = 148\/395 + 2\/79. Is g at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -17*q - 1024. Determine x(-61).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 6) + (-18 - -12) - (-46 + 0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5468 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/9*-4*(-120)\/16. Let v be 160439783\/21 + q + 2\/6. What is v rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 25488?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-70)*(-585)\/(-4 - 1). Let v(h) = h**3 + 8*h**2 + 8*h - 10. Let l be v(-7). Let d = l + r. Is -0.36 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, z: 5, b: 2}. What is prob of sequence bz?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.27002 millennia to years.\nAnswer: 17270.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14687*b + 3673*b + 3560*b + 3568*b + 3616*b.\nAnswer: -270*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5472 - -5476. Let z(s) be the third derivative of 1\/120*s**6 + 0 + 0*s**3 + 21*s**2 + 0*s + 1\/32*s**p - 13\/240*s**5. Find m, given that z(m) = 0.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9954831, 9954804, 9954775, 9954744, 9954711, 9954676, 9954639?\nAnswer: 9954600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*z - 574735 = 1524699 + 3669956. Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 332 + 1700 = 4*h, 0 = 5*f - 4*h - 1665. Let v = f + -334. Solve -v*g + 19 = 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 17214.65s?\nAnswer: 17214650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*a - 6*a - 7*a + 3*a as g*a + p and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4 = 3*h, 2*h - 181*c = -171*c - 46 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*y = -l + 8, -4*l = 2*y - 24. Find the common denominator of 5\/15*-1*(-54)\/l and 123\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 7. Let w be q(6). Let a be 852\/276 + (-2)\/23. Sort w, 5, a in descending order.\nAnswer: 5, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4 - 8. Let w(a) = 13*a - 151. Let i be w(f). Solve -i*o + 3*s + 10 = -2*s, 2*o + 3*s + 11 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((5 + (sqrt(5) - 2*sqrt(5)) + sqrt(5) - sqrt(40)\/(-1*sqrt(8))) + -4)**2.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Let u be (y\/((-60)\/9))\/(5\/(-20)). Find the third derivative of 41*a**3 + 5*a**2 - 66*a**3 + 34*a**u wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -415 in decreasing order.\nAnswer: 3, 0.5, -415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -44*f**2 + 537*f - 116. Give c(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -842392, -842342, -842256, -842134, -841976, -841782, -841552?\n\"Answer: 18*q**2 - 4*q - 842406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159446 divided by -7?\nAnswer: -22778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9 + v**3 - 14*v + 10 + 30*v**2 - 16*v**2. Let z be p(-15). Is z less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - t = -5*r - 10, t + 3*r + 14 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let c(r) = -4*r**2. Let p(v) = -8*v**2 + 7*v**2 + 0*v + 0*v. Let f(m) = 3*c(m) - 15*p(m). What is f(x(l))?\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*z - 5 = -13, 0 = -5*v - 3*z + 26. Let a = 16 - 11. Solve v*x + x + a = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**5 - 14*u**4 + 37*u**3 - 29*u**2 - 5*u. Let h(k) = -11*k**5 + 21*k**4 - 56*k**3 + 44*k**2 + 8*k. Let m(d) = -5*h(d) - 8*z(d). Factor m(a).\nAnswer: -a**2*(a - 3)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2712 - 7122658*u + 1350 + 1362 + 7122650*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybbrrnbybbnbbnyyyyyb. Give prob of sequence yyny.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - m = 6, 2*m - 2 = -4*j - j. Let f(q) = 1352 - 1367 - 5*q + q**j + 2*q. Is f(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1749 - 1034. Suppose 76*d = 81*d - b. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 8*q**2 - 7*q - 1. Let x = 6 - 9. Let u(a) = 4*a**3 - 24*a**2 - 20*a - 2. Let v(k) = x*u(k) + 10*y(k). Factor v(h).\nAnswer: -2*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 57*u**2 - u - 52. Let p be j(-57). Sort p, 6, 0, -19.\nAnswer: -19, 0, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -679138 + 279522. Let k = q + 399614.000002. Let s = k + 2. Round s to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Let m = 50.1 - 50. Sort 5, m, x in ascending order.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r - 14*r - 5*r - r**2 - 19. Suppose 0 = -i + 2*v - 11, -4146*i + 4144*i = 2*v + 34. Calculate q(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.290874662 less than 1.4?\nAnswer: 29.690874662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 335580364 and 605.\nAnswer: 335580969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014191168 to 6 dps.\nAnswer: -0.014191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v - 35. Suppose 5*l + 88 = 2*z, v*z = 4*z + 4*l + 139. Suppose 718 = 141*y - 269. What is the greatest common divisor of y and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34033 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 - 95*f - 3. Calculate s(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5376*v**3 - 2702*v**3 - 2678*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (72\/21)\/((6\/(-56))\/(108\/144))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p + 4*m - 19, -19226*p = -19231*p + 3*m - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (475 - 425 + 392)*(-g**2 + 0*g + 0*g) in the form c + n*g**2 + t*g and give n.\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280253 is divided by 280235.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 + 175. Let w = -2.86 + -0.14. Which is the nearest to w? (a) 2 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-64)*6)\/(30\/(-160))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10160*k + 698888 = 77694 - 811366 for k.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -76692373\nAnswer: 153384746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 531*q - 1062*q - 296 + 528*q.\nAnswer: -3*q - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5787 divided by -1929?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43162 - 43155. What is the closest to -0.2 in -1\/6, f, -1\/15, -6\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161\/110 + -2\/55. Let p = -5\/4 - t. Suppose 0 - p*k**3 + 1\/2*k**2 - 1\/4*k = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-10)\/8) - -8. Suppose -4*g + h = -2*n, -4*n - n + 2 = -4*g. Suppose -u + n*u = 22. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-2)*6\/(-9). Suppose -x*n + 2*p + 1004 = 0, 3*n - 3*p - 644 + 38 = 0. Suppose -3*j = 5*h - n, 0*h + 64 = j - h. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4 - 6 - 4*d + 0. Let b(k) = -k**3 + 8*k**2 - 5. Let v be b(8). Is s(v) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2456479874 to the nearest integer?\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 9*t + 24. Suppose -3*w - 7 = q, 2*q - 2*w = 3*q + 4. Let a be (3 - 3)*(-2 - -1). Solve -q*v = t, a = 3*l - v - 0*v + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x - 150. Determine y(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100278 divided by -3714.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 351.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsjooyosjozjjo. Give prob of sequence syjj.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-3))\/(-3*6\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**2. Suppose 4*n - 2 = 14. Let z be (-563)\/(-4) + 1\/n. Let i(f) = -z*f + 141*f + 3*f**2. Calculate i(y(l)).\nAnswer: 363*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(25\/(-2)) - -85068. Round v to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 m when three letters picked without replacement from {m: 7, p: 4, s: 1, y: 1, q: 2, l: 3}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1294369260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2979 + 2991. What is the smallest common multiple of 1180 and f?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**7\/5040 - n**5\/30 + 3*n**2. Let t(l) be the third derivative of r(l). Let v(m) = -4*m. What is t(v(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 302886619 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 112*g**2 - 849*g + 1662. Let z(a) = 2*a**3 - a - 2. Let f(c) = 5*v(c) - 5*z(c). Factor f(t).\nAnswer: -5*(t - 104)*(t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -4, -0.5, -1\/4, 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbb when three letters picked without replacement from {m: 6, w: 1, v: 3, l: 1, b: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.116, -4, -28.1, -131, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214.\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 4*p - 50, -4 = 5*p - p. Let s be 1\/((-7)\/12)*-49. Let t = w + s. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113203693?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-29)\/(-116))\/((-2)\/64).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyiyinriivyrbri. Give prob of picking 1 n, 1 b, and 2 y.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3 - 32*w - 3 + 40*w. Let c(u) be the second derivative of -u**6\/360 - u**3 + 6*u. Let o(q) be the second derivative of c(q). Give o(v(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 14. Let m(t) = -4*t**2 + 3*t**2 - 2*t**2 + 5*t**y. Let j(k) = -10*k. What is m(j(z))?\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/140*8\/(-45)*20\/(-1)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*p = 3*p + 8, p = 3*j - 16. Let q(i) = i**2 + j*i**2 - 1 + 2*i**2 - 11*i**2. Give q(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 122978 and -30319.38.\nAnswer: 92658.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-2) + (-6)\/(-12). Suppose o - 3*q = -0*q - 6, 44 = 4*o + x*q. Calculate the greatest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/19? (a) 1 (b) -3 (c) -11 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/21)\/4*(-8180)\/(-4090)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-20))\/((-12)\/(-15))*-14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 - 24 = 3*b. Let r = -75 + b. Let o be (-14)\/r - 276\/(-14). Calculate the highest common divisor of o and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3215 or 0?\nAnswer: 2\/3215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10)*140\/(-24). Let s(h) be the first derivative of u*h**3 - 38 + 0*h - 35\/2*h**2. Find the second derivative of s(l) wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 6. Let k(y) be the second derivative of 3*y**3\/2 - 11*y**2\/2 - y. Suppose -6 = -329*p + 331*p. What is p*k(n) - 5*j(n)?\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 33 in decreasing order.\nAnswer: 33, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 574 by -3.\nAnswer: -574\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 816441.\nAnswer: -1\/816441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w + 7*w + 2*w**2 + 2645 - 2663. Let g = -29 + 20. Does 6 divide d(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1261, 5353, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -74. Let f be (-4)\/(-6) + (-382)\/(-3). Suppose -3*t = m - f. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42504, 42278, 41902, 41376, 40700, 39874, 38898?\nAnswer: 37772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4270\/488*(-120)\/105\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, 188, 5.\nAnswer: -14, -5, 5, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/3*(1337\/14 + 11). Suppose -3*z = j - g, 10*j = 9*j + 5*z + 1673. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/2, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + u**2 - 7*u + 33. Let o be b(4). Let a be 2\/(-74)*(-42 - o). Sort a, 2, 1\/5.\nAnswer: a, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334363.\nAnswer: 334363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)\/m**(-4)*(m**(2\/5)*m*m*m*m)\/m**(-8) assuming m is positive.\nAnswer: m**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) 0.2 (c) -4\/5 (d) -447\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -166?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(42)\/(sqrt(9)\/sqrt(3)))\/(-4*-1*sqrt(2)) + ((-1*sqrt(63))\/sqrt(9) - (sqrt(28)\/sqrt(4) + -1)) + -3)**2.\nAnswer: 7*sqrt(7) + 343\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1298*y**2 - 688*y**2 - 671*y**2 + 0*y**2 + 4*y**2 - 3*y**2 + (-3 + 3 - y)*(-1 - y + 1) to the form s + h*y + l*y**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 2. Suppose 13*t = 16*t - 18. Let v be r(t). Solve -i - v = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1, -318, -1\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146\/24*-3*-16 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15603?\nAnswer: 3, 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -332*l**2. Let j(h) = -3*h**2. What is j(o(y))?\nAnswer: -330672*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14812420 by 140.\nAnswer: -105803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v + 1601 = 176 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -15910.76 to the nearest 10.\nAnswer: -15910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30577 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((52 - 59) + -13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-36))\/((-75)\/(-180))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -186 = -186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + t + 1. Let v be k(-1). Put 4, v, 1, 159 in increasing order.\nAnswer: v, 1, 4, 159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(70)\/sqrt(2) - (sqrt(35) - (sqrt(140)*-1 + sqrt(140) + sqrt(140) - sqrt(140))))\/((2*sqrt(160) + sqrt(160) - sqrt(160))\/sqrt(8)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2 + 0)*7\/(-21)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21535\/(-10950) - 4\/120?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 102110012?\nAnswer: 102110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -13. Suppose 28*t = 31*t - r. Suppose 0*y = -y + 5, 327 = t*m + 3*y. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f**3 + 10*f**2 - 36*f - 22. Let a(w) = 2*w**3 - 2*w**2 + 7*w + 4. Determine -31*a(q) - 6*j(q).\nAnswer: 16*q**3 + 2*q**2 - q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55652 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 5*p**2 + 8*p. Let n(h) = h**3 + 4*h**2 + 5*h + 12. Let r be n(-3). Give z(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*w**3*y**2 - w**3 + 33298*w**2*y - 261*w*y**5 - y wrt y?\nAnswer: 264*w**3 - 5220*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*d = -14*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 + 56. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-17)*i)\/i)\/i)\/i)\/i**(2\/9)*i**(-16)\/i**16 assuming i is positive.\nAnswer: i**(-452\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (-2)\/(0 - -1). Suppose 3*h - 14 - 7 = -t*n, 5*h - 2*n = 14. Is 13 a factor of h*(3 - 21\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-492)\/(-1107) + (-62)\/(-90) + -1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 7855*g = -7853*g - 21, -g + 12 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19584\/66)\/(-136)*(-11)\/14.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 17*f - 49864 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30642 - 9*k + 10270 + 10187 + 10185.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96668.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 44*h**2 - 1457*h + 243. Give i(22).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l**3 - 390*l**2 + 111*l + 99. What is y(-56)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208\/40 - (-3)\/(-15) - -1414.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**4 + 7904 - c**2 - 31*c + 13*c + 4*c**3 - 7904 - 35*c**4 as l*c + q + y*c**4 + h*c**3 + g*c**2 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 17, g: 2}. What is prob of sequence mgg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16896*h**2 - 44008*h**2 - 54812*h**2.\nAnswer: -81924*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**2 - 25*v - 7. Let q(t) = -11*t**2 + 24*t + 6. Let x(a) = 6*g(a) + 7*q(a). Find the second derivative of x(d) wrt d.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 at least as big as 957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.4 + -19.4. What is the nearest to 0 in -0.5, 8, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -521792 divided by -16\nAnswer: 32612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9886668 microseconds to minutes.\nAnswer: 0.00000001647778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 11*d = -3. Suppose -16*x = -17*x + 3, 17 = h + 4*x. Solve -2*b + d*b + 2 = 0, -3*b + 14 = h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(5 + (sqrt(20)\/sqrt(4))**2 + -3)*6.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.1 - 0.4. Let n = -7.4999855 - k. Round n to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2227135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-11))**(-14)\/(g\/(g\/(g\/g**(-2\/41)*g))*g*g\/(g**(-1)\/g*g)) assuming g is positive.\nAnswer: g**(-7095\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j. Let o = 21 - -56. Let i(c) = 153*c - 78*c - o*c. Determine i(x(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34142.12 tonnes to kilograms.\nAnswer: 34142120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -642, -1276, -1904, -2520, -3118, -3692, -4236, -4744?\n\"Answer: c**3 - 3*c**2 - 632*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/6154 and -41\/9?\nAnswer: 55386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 1bb?\nAnswer: 1bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101000221 - -101210000?\nAnswer: 202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.3. Let g = -0.5 - w. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 64239588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1667328 and 3527040?\nAnswer: 91703040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921128 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.814627t in nanograms?\nAnswer: 814627000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3*(-51)\/2. Let t = q - -239. List the prime factors of t.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6895098671.\nAnswer: 131, 52634341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose 5 = -b + y, 0*b - 2*y = w*b - 10. Suppose -4*v + 5*v = b. What is the nearest to -0.1 in 0.4, 5\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/14)*k\/((k*k\/(k*(((k*(k**10*k*k)\/k)\/k*k)\/k)\/k)*k*k)\/k))**10)**10 assuming k is positive.\nAnswer: k**(6150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - z + 6 = 0, -11 + 17 = -u + 3*z. Which is the closest to 1? (a) u (b) 2\/15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o**2 + o + 1. Let w = -37 + 35. Let g be (3 - (-7)\/w)\/((-2)\/(-4)). Let x be m(g). What is the highest common divisor of x and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1102\/87)\/(2 - (-154)\/(-33))?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2300885*i**2*x**3 - 12082*i**2*x**2 - 2*i*x**2 + 5*x**6 - x**2 + 16*x - 4 wrt x?\nAnswer: -13805310*i**2 + 600*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, i: 2}. Give prob of picking 3 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/72*5*123\/(-205)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(9)\/(-3*sqrt(3))) + (sqrt(52)\/sqrt(4) + 1 - (sqrt(13) + (sqrt(208) - sqrt(208)*1)))**2.\nAnswer: -3*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 265*b**3 - 5*b**2 - 4*b + 83. Let u(h) = -529*h**3 + 10*h**2 + 9*h - 166. Let q(f) = 9*o(f) + 4*u(f). Find the first derivative of q(a) wrt a.\nAnswer: 807*a**2 - 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2074 = -236*g + 286 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -47588, 11, 1 in descending order.\nAnswer: 11, 1, -47588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002046518286 rounded to seven decimal places?\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 97, 419, 1069, 2155?\nAnswer: 3785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11030003 (base 4) to base 6.\nAnswer: 242215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10784 and 5497144.\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5396\/1278 - ((-22)\/(-18) + -1) and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -17. Let o be (-23)\/4 - (-1)\/(-4). Let r = o + f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*x - 129, 4*x + 10 = 2*u - 66. What is the remainder when 185 is divided by u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1751 - 7601 = -39*d. Is 30 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**3 + 95*s**2 + 56*s + 154. Give p(-47).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12222010002 (base 3) to base 4.\nAnswer: 130223030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*a**3 + 14*a**3 + 33*a**3 + (6*a**2 - 4*a**2 - 3*a**2)*(a - 4*a + a) - 2*a**3 - 2*a + 2*a + 3*a**3 + 3*a**2 - 3*a**2.\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19.965 + 19.4. Round i to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2012*z - 13012 + 24715 = -40609 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, f: 3}. Give prob of picking 3 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 + 511*d**2 - 1022*d**2 + 511*d**2.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18906*z + 9857*z + 9038*z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s + 2 - 2)*(-5 + 0 + 3) + s - 3*s + 3*s)*(-3*s + 0*s + 7*s + (-1 - 2*s + 1)*(1 - 3 + 1) - 30*s + 920 - 920).\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 136?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 3\/2, 0 in decreasing order.\nAnswer: 3\/2, 0, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from puhpfooe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:22 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -36. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 + 182*n**4 + 5372*n**3 + 47572*n**2 - 111998*n + 58870 = 0.\nAnswer: -35, -29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 7*s + 1 - 8*s**3 + 6*s - s + (-3 + 3 - 2*s)*(5769 + 39*s**2 - 5769) to p + k*s**2 + b*s**3 + w*s and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1799, -3590, -5367, -7124, -8855, -10554, -12215, -13832?\n\"Answer: w**3 + w**2 - 1801*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(2662) + sqrt(2662)*1 - sqrt(2662)) + sqrt(2662)))\/(2*sqrt(539)*-2) + -1)**2.\nAnswer: -11*sqrt(2)\/7 + 219\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492926881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 27*(8\/24)\/(1\/3). Let j = -12 + u. Calculate the remainder when 71 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1632224 + 1?\nAnswer: 1632225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 35219253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 555*r + 152255. Calculate b(-274).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 4*n + 6. Let u be g(4). Suppose 2*q - 5*q = -u. Suppose -v - 191*m + 9 = -189*m, 3*m = 9. Solve -q*i - 7 = -5*x, v = 2*x - 0*i - i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*22\/253\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 + 96*w\/11 - 200\/11.\nAnswer: 2*(w - 2)*(w + 50)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:54 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*i - 1 + 35*i - 102*i)*(0 - 4*i + 0) - 1086*i + 11*i**2 - 1 + 1086*i.\nAnswer: 151*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 1 - (16 - -1 - (46 - (-19 - -47))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 16) in base 11?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -7265646?\nAnswer: 7265642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l - 2. Let o be x(-3). Suppose 14 = 5*k - 16. Suppose -v - k = -o*v. Solve z = v - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + ((-1 + sqrt(27))*-3 - sqrt(27)) - -1*(-1 + sqrt(24)\/sqrt(72))).\nAnswer: -35*sqrt(3)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08268571 rounded to 4 decimal places?\nAnswer: -0.0827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35160065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4143 - 2739. Let j = f + -1403.9307. What is j rounded to 3 decimal places?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12770371 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3123*f + 2759*f - 32032 = 0 for f.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -152700, -152708, -152728, -152766, -152828, -152920?\n\"Answer: -n**3 - n - 152698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/2 - 27*h\/2.\nAnswer: -3*h*(h + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/10)\/(54\/(-180))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 14*w**2 + 18*w - 13. Let k be d(15). Let q = k + -55. Let y = q + 43. What is the greatest common divisor of y and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19, -0.2, 2\/41, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-7788)\/1728 - -6 - (-18)\/288\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -4 + 30562 - (9 + -26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**8\/336 + 31*t**5\/60 - 181*t**4\/4 - 2*t**2 - 19*t. What is the second derivative of y(d) wrt d?\nAnswer: 20*d**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o\/o**(-4)*(o**(-1)\/o)**(1\/4))\/(o**3*o*o*(o**(-1\/3)*o*o)\/o)**32 assuming o is positive.\nAnswer: o**(-1067\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.8 + -37.8. Let z = q - -87. Which is bigger: z or -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 50*w + 52.\nAnswer: -2*(w - 26)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x**2 - 4. Let m(d) = 44*d**2 - 11. Suppose -12*i - 257 + 785 = 0. Suppose 0 = 37*a - 26*a + i. Give a*m(z) + 11*v(z).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.8 (b) -441 (c) -8 (d) -1.3 (e) -3 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16528 is divided by 4855.\nAnswer: 1963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 86687 = -3*d, 34*d - 115634 = 30*d - 2*c. List the prime factors of d.\nAnswer: 3, 5, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -71, 92, 415, 952, 1757, 2884, 4387?\nAnswer: 6320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 13 = o, -5*k - 23 = -3*o + 11. Solve o*c - 4 = 4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*s + 103*s - 62*s.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h + 37*h**2 - 12*h**2 - 13*h**2 wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 359*i**2 - 183*i**4 + i**3 - 357*i**2 - 4*i + 5*i as w + g*i**3 + k*i**2 + o*i + j*i**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-155 - (-79897)\/545)\/((-3)\/(-10))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336b (base 13) in base 2?\nAnswer: -1110000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-231)\/(-18) - (-4)\/24. Let a = -9 + z. Suppose a*p + 21 = 177. What is the remainder when p is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*t + 55 - 55 + (t + 3*t - 2*t)*(-4 + 2 + 4))*(t + t - t)*(2*t - 2*t - t**2) in the form x + j*t + r*t**2 + n*t**4 + b*t**3 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.5, -0.2, -2\/1187, -4.\nAnswer: -4, -0.2, -2\/1187, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 1. Let q(d) = d + 1. Let n(s) = -s + 7. Let v(g) = 7*g + 26. Let c be v(-4). Let f(p) = c*n(p) + 6*q(p). Determine -f(k) - 6*u(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o. Let n(x) = 6*x. Suppose 2*c = -2*c - 4*k - 44, -3*c = -3*k + 15. Let q(w) = -2*w. Let h(g) = c*q(g) - 3*n(g). What is s(h(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*x - 48*x + 52 = 0. Put x, -3, -4, 0 in descending order.\nAnswer: 0, -3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3355020301 - -3?\nAnswer: -3355020254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/5 + 4*z**3\/5 + 5628*z**2\/5 + 155232*z\/5.\nAnswer: -z*(z - 88)*(z + 42)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Calculate -981685 divided by 4.\nAnswer: -981685\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1113 + 37?\nAnswer: -10cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39.3 - -41.5. What is the second smallest value in -4, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*k = -3, 12*m - 2638 + 2969 = 5*k for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 9 = 5*h - t, 2*t = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {y: 9, q: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*m*x**3 + m*x**2 - 43*x**3 - 83*x**2 wrt m?\nAnswer: 37*x**3 + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/91 + 4\/64 + (-3270)\/6240.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -0.5, 4\/5, 553 in descending order.\nAnswer: 553, 1, 4\/5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - i**2 + i - 2. Let w(l) = -4*l**3 + 2*l**2 - 2*l + 22. What is -2*n(x) - w(x)?\nAnswer: 6*x**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/w**(2\/3))\/w)\/w)\/((w**(2\/5)\/w)\/w))**(-3)*(w\/(w\/(w**0*w))*w**(2\/27))**48 assuming w is positive.\nAnswer: w**(2194\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 17 = 4*k - 5, -3*h = -3*k + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1))\/(z\/((z*z*z**(-10)\/z*z)\/z)))**(1\/6) assuming z is positive.\nAnswer: z**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1414*q**2 + 13*q + 94. Let m be i(-7). Suppose m = 35*a - 24*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7332 is divided by 71.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8286880 and 1760?\nAnswer: 91155680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143.431 - 143.4225127. What is v rounded to four decimal places?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80600 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115.52 - -115.302. Which is the closest to -1? (a) 0.2 (b) 13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12782 - -36054. What are the prime factors of g?\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -345. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268356 a multiple of 642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -r + 5, 3*r + 6 - 21 = 4*q. Solve 3*h - 3 = -d - 7, q = -h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-414)\/(-51) - (12 + -4). Let s = -5 + 8. Let t = -70 + 66. What is the fourth biggest value in c, s, -0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12007 is divided by 1088.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - d?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -418567*l**2 - 660123*l wrt l.\nAnswer: -837134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 363887 - 363861.5839. Let w = -25.4 + c. Round w to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 15*x - 11653 = 19*x, 0 = -2*i + 3*x + 4657. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112110012 + 11100?\nAnswer: -112021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(-2\/5)\/w)*w))**(1\/33) assuming w is positive.\nAnswer: w**(-4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 8*f - 52 = -178, 282 = 5*k - k + f for k.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2500, -5005, -7506, -10003?\nAnswer: -12496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 6. Let a be k(-5). Suppose -360*f = -370*f + 5830. Let w = f + -576. Solve -2*b + a = -w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 531, 1089, 1719, 2421, 3195, 4041?\nAnswer: 4959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12126, 9621, 5440, -417, -7950, -17159, -28044?\n\"Answer: -838*g**2 + 9*g + 12955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 163187750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1471 - 51?\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 9738 - 58. Suppose -i + n = 3*i. Suppose -5*z = -3*f - 0*f + 363, 5*f - 3*z - i = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 2:18 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, p: 9, z: 1}. What is prob of sequence nz?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 571 + -509. Calculate the remainder when v is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 6*g**2 + 5*g. Let h be w(5). Let s be 174 - h - 25\/(-5). Suppose -3*c = 5*y + s - 1584, -3*y + 4*c = -843. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3986, 5332, 6678, 8024?\n\"Answer: 1346*u + 2640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5207.\nAnswer: 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, -3, -4, -2 in increasing order.\nAnswer: -11, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 8 = -215. Suppose 0 = z*t - 19*t. Let i be (0 - (1 + 0)) + 3. Solve -29 = -5*p + 3*x, t = 2*p + 3*p + i*x - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/619096 and -61\/1160805.\nAnswer: 9286440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**5\/30 - 5*h**2. Let p(s) = 4 - 2*s**2 - 4. Give i(p(l)).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -6 - -9) + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 376 (base 8) to base 13\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 8*j - 6. Give h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = -4*a - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3987 and 18?\nAnswer: 7974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -400083, -400074, -400065?\n\"Answer: 9*w - 400092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) 0.4 (c) -28\/3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.78 + 0.45. Let z = g - -0.03. Let y be (12\/14)\/(6\/42). Which is the smallest value? (a) -0.4 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 10*c + 9. Calculate l(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/87936 and 41\/27?\nAnswer: 791424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5091900 to the nearest ten thousand.\nAnswer: -5090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t. Let m(n) = -29*n. Determine m(j(o)).\nAnswer: 145*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a meter in centimeters?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4814023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = -3*j - 5*k, 2*k = -2*k - 12. Let z = j - 144. Suppose -z = -r - 8. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014 is divided by 661?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 2*k - 3*k)*(40 - 32 - 943*k**2 - 1330*k**2) in the form j + b*k + i*k**3 + l*k**2 and give i.\nAnswer: 2273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**8\/6720 - k**7\/504 - 7*k**6\/720 - k**5\/24 - 17*k**4\/24 + 5*k**2. Let i(v) be the second derivative of q(v). Give i(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 87*s**2 + 92*s + 6012. Give y(85).\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w. Let a(l) = -7*l - 6. Let y(j) = 9*j + 7. Suppose 4*d = 5*d - 7. Let v(z) = d*a(z) + 6*y(z). Determine v(s(o)).\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 7*r**2 + 9*r + 8. Let s = -5 - 3. Let d be k(s). What are the prime factors of 10 + d - 0\/1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 - -112. Solve -u*k**3 - 1\/2 - 3*k - 11\/2*k**2 = 0 for k.\nAnswer: -1, -1\/2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 25. Let x(w) = -79 + 34 - 2*w**2 - w**a - 3*w + 24 + 20. Let c be 14\/(-6) - 2\/3. Give x(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**2 - 31*w - 10. Let l(z) = 4*z**2 - 15*z - 5. Let v(c) = 3*k(c) - 7*l(c). Suppose 0 = p + 5*b + 13, 5*p - 4*b + 20 - 100 = 0. Give v(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5337550?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 39 = a, -6*a + 99 = -3*a + 3*j. Calculate the lowest common multiple of 20 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575719714?\nAnswer: 2, 287859857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14143 is divided by 7063.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuuu when four letters picked without replacement from uuuuww.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-72) - 1) + (-67)\/(-3)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 8 + 6. Suppose b*k = -k - 2*k. Is k != 6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 - (35 + 32 + 5)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 924 and 38127705.\nAnswer: 152510820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -562106, -562100, -562092, -562082, -562070, -562056?\n\"Answer: q**2 + 3*q - 562110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 802355?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 59. Solve v = -x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/542087?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 32 = -x. Let d(h) = h**2 + 5*h + 6. Let l be d(x). Round l to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -155 - -147. Let q(k) = 20*k**2 + 8*k + 8. Let j(i) = -13*i**2 - 5*i - 5. Give d*j(y) - 5*q(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/11 (b) 5\/2 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1071379.16 to the nearest 10000.\nAnswer: -1070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, 26 in ascending order.\nAnswer: -1, 2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 7:07 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.98 + 6.98. Which is the closest to 1.2? (a) d (b) -2\/11 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1 - 0) + -12 + 12. What is the units digit of 1391 - (2\/a - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -60.000037. What is t rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*((sqrt(150) + (sqrt(150) - 1*sqrt(150)) + sqrt(150) - sqrt(150)) + sqrt(150)))\/sqrt(10))\/((sqrt(245) - sqrt(245)*-2)*1).\nAnswer: 40*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*c + 930 = -523*c for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305 and 22989165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from weeeeeeeeeeee. Give prob of picking 1 w and 3 e.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 37*b**2 + 5*b - 1. Let u(l) = 35*l**2 + 6*l - 2. Calculate -3*u(s) + 4*y(s).\nAnswer: 43*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.1, -0.1, -1, -54?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679975 divided by -5?\nAnswer: -135995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1952 - 1953. What is the nearest to 0.1 in r, -4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2054070044 and 274?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*f + 8. Find the third derivative of 21*b**f - b**4 - 52*b**2 + 24*b**2 wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 9*u**2 - 9*u + 3. Let m be c(-8). What is the third derivative of -m*n**6 - 88*n**2 + 18*n + 30*n + 87*n**2 wrt n?\nAnswer: -1320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, h: 6}. Give prob of picking 2 t and 1 h.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/112 and 65\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -346853 + 340619.902. Let n = v + 6222. Let f = -11 - n. What is f rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2640820 is divided by 961?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 189420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1443)\/(-666) + (5\/3)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12900 + 20305. Is c smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y = -1984 + 3884 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.053895 rounded to three dps?\nAnswer: 1.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r. Let a(b) be the first derivative of -7*b**3\/3 - 185*b**2\/2 + 1540. Give d(a(g)).\nAnswer: -14*g**2 - 370*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q = -8. Suppose 20 = q*i + i. Solve 2*p + 4 = -i*g, 8 = -0*g - 2*g - 4*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*j + 3 - 89*j + 595*j - 117*j - 106*j - 115*j.\nAnswer: 49*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*d + 73284 = 382*d - 17464. Let n = -45 - -101. What is the greatest common factor of n and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.11 and 0.269555087.\nAnswer: 0.159555087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -3\/14*t**4 + 2\/21*t**5 + 0 - 46*t**2 + 0*t + 4\/21*t**3 - 1\/70*t**6. What is u in y(u) = 0?\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.114 - 0.014. Let k = 5 - c. What is the third biggest value in -1, k, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 0.0422\nAnswer: -0.1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4413803 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -11*x**2 + 0*x**6 + 0 + 0*x**4 + x**3 + 0*x**5 + 0*x + 1\/35*x**7. What is the first derivative of t(u) wrt u?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200040699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-864)\/42)\/4*7. What is the remainder when (-1162)\/(-22) + r\/(-198) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-15)\/(-10) + 3\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10764 - 10741. Solve c*d + 63 = 14*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -1.553?\nAnswer: 2.3295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l**2 + 3*l. Let r be i(-3). Let s be ((-22)\/(-4) - -1)*-6. Let q = s - r. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106297.201 - -106341. Let d = 44 - w. What is d rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -3, 210, 2\/133, -1?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + 144 + -137 + 67.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-1 + 5 - (7 + -2 - -2 - 7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-21) - (482\/(-3) - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(2\/3)*h*h*(h*(h\/(((h**9\/h)\/h)\/h))\/h)\/h)\/(h**6\/(h**(2\/5)*h)) assuming h is positive.\nAnswer: h**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:34 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9431 divided by -5.\nAnswer: 9431\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13706 and 99792?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 97*y + 3. Let x be h(0). Solve -l - 4*l = -x*v + 11, 3*l + 3*v = -21 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/5 - 0)*280\/126. Suppose 0 = -4*p + 4, 4*p = -4*x + 1 + 11. Factor -x*u + c*u**2 - 2\/3.\nAnswer: 2*(u - 1)*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8007 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 75\/7.\nAnswer: 3, 4, 75\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*v - v**5 - 15*v**5 - 11*v wrt v.\nAnswer: -320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23067882 is divided by 278.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q + 2*i, -q - 2*q = 2*i + 3. Let a be (6 + -1 - 0) + -3. Suppose a*v + 0*v = 8. Put 2, q, v in decreasing order.\nAnswer: v, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**2 + 23*o**2 + 32*o**2 + 28*o**2 - 115*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1712 = 3*d, -d + m = 295 - 867. Let n = d + -342. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*i**4*j - 10*i**3*j**3 + i**2*j**3 - 2*i**2 - 2*j wrt i?\nAnswer: 312*i*j - 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b. Let n(l) = -3*l. Let h(g) = -5*n(g) - 7*t(g). Let o(a) be the second derivative of 41*a**3\/6 - 4*a + 11. Determine h(o(x)).\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31*v**2 + 21*v**2 + 35*v**2)*(0*v**2 - 6*v**2 + 5*v**2) - 2*v**4 - 5*v**4 + 6*v**4 as s*v + a + g*v**2 + o*v**3 + u*v**4 and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - (sqrt(72) + 0)) + sqrt(72) + sqrt(2) - (sqrt(2) - sqrt(8))**2*-1) + 4 + sqrt(6)\/sqrt(3)*-6.\nAnswer: sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0*i + 0 + 0*i**5 + 0*i**3 - 46*i**2 - 3\/8*i**6 + 23\/12*i**4. Find the second derivative of m(n) wrt n.\nAnswer: -270*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1281 - 631*n + 1282 + 3347*n**2 + 631*n as l*n**2 + j*n + c and give l.\nAnswer: 3347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 - 2)*(-1 + 1 - 1 + (-5 + 2 + 1)*(3 + 0 - 5))*(-4*z + z + z).\nAnswer: 54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*q = -18, 2*q + 4 = 4*b - 3*b. Suppose 0 = -5*d - 38 + 3. Let s = d + b. What is the least common multiple of 8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.9 + -19.2. Let w = d + -17.6952. What is w rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**2 + 4*r - 3. Let q be -159*(-8)\/(-84) - 1\/(-7). Let k be (0 - q\/(-35)) + 17\/7. Calculate c(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1. Let j(s) = -s**2 - 8*s - 1. Let x be j(-8). Let g(c) = c**3 - 2*c - 1. Calculate x*g(p) - 2*q(p).\nAnswer: -p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-48)*14\/168)\/(1\/(-36))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 6*m**2 - 2*m - 9. Let y(k) = k + 9. Calculate the least common multiple of x(-6) and y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -14*h + 18. Let o(z) = -25*z + 32. Let i(x) = -4*o(x) + 7*p(x). Let q(f) = -6*f + 5. Determine -8*i(r) - 3*q(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (46\/115)\/(-1) + (-1718)\/5. Does l = -341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 + (2 - (-1 + -3)) + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**20*((((b**(-14)*b)\/b)\/b*b)\/b)\/b)\/(b**(2\/57)\/(b*(b*b\/b**(-23)*b)\/b*b)) assuming b is positive.\nAnswer: b**(1822\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:24 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + g - 21 = 0, -4*b - 139*g = -134*g - 87. Calculate the smallest common multiple of b and 3579.\nAnswer: 21474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s - 7. Let k(h) = -h - 1. Let b = 12 + -14. Let x(d) = b*u(d) + 14*k(d). Let z(a) = -a + 4*a + 0*a. Give z(x(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + 2 + (-31 - (-39 + 26 - 1)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2272202 by -334.\nAnswer: -6803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1828 - 1826. Solve f*p - 3*p - 3 = -n, -2*n - 5*p - 29 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 - 3*b. Let o(v) = v**2 + v. Suppose -12 = 84*q - 80*q. Let a(w) = w**3 + w**2 - 4*w + 4. Let l be a(q). What is l*o(y) - k(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 15 = -0*o, 2*o = -2*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d - 18*d - 10 = 6*w, 0 = 2*w + 6 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*o + 262 - 2641 + 203. Solve 0 = -11*r + 42 - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h**5\/7 - 2*h**4 + 32*h**3\/7 + 40*h**2\/7 = 0 for h.\nAnswer: -10\/3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 88303.28 weeks?\nAnswer: 53405823744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z. Let q be u(1). Let f(c) = -404*c + 274*c + 132*c - 1 + 0*c**2 - c**2. Let j(o) = -2*o**2 + 4*o - 2. What is q*f(x) - 2*j(x)?\nAnswer: -x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -87, -126, -163, -198, -231, -262?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 322.2 + -322. Which is bigger: -1\/91 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 h when four letters picked without replacement from {h: 11, u: 6, k: 1}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 77 - 71 - (-27)\/(-5). What is the smallest value in -1, 10, 4, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 732 + 1403 = 89*q - 3*r, -4*q + 4*r = -100 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103*c**2*l + 24959672*c**2 - 2*c*l + 5854*l wrt l?\nAnswer: 103*c**2 - 2*c + 5854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = l + 162 + 154, -316 = -2*k + 2*l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -8 + 7\/6*t**3 - 1\/10*t**5 + 1\/2*t**2 - 65\/12*t**4 + 7*t. What is the second derivative of w(k) wrt k?\nAnswer: -12*k - 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850008 is divided by 58?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = s + 15. Let d be ((-6)\/(-4) + -1)*-10. Sort s, d, 4 in descending order.\nAnswer: 4, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 9*n + 20. Let s be m(-6). Let d(w) = 5*w**3 - w**2 + 4*w - 3. Let i be d(s). Suppose -39*y - 1574 = -i*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3927 + -2663. Is 79 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 134 = -2*f, 4*f = -g - 41 - 35. Let w = -32 - g. Find the second derivative of -w*m**3 + 3*m - 3*m**5 + 32*m**3 - 5*m**5 wrt m.\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 26 = -4*l, 0 = 5*f + 5*l - 153 - 2. Let v be 1 + -3 + f\/3. Is 4\/6*(-4)\/v*-7491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 6*j - 2. Give r(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -5)\/((-3)\/5). Suppose -4*b = b + 20, 3*l = -x*b - 2. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -725*q**5 + q + 10 + 722*q**5 + 7 + 12*q**3 wrt q.\nAnswer: -60*q**3 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60093?\nAnswer: 3, 11, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/16 and -4 - (77\/(-16) - (-10)\/(-10)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 - 117. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-6 + 0 - (-412 + 413) - 82).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 41528382.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/5 and -123\/768286280.\nAnswer: 768286280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 8 = -2*u, n - 4*u + 0 = -6. Let a = n - -8. Solve a*v = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34177 (base 11) in base 3?\nAnswer: 2111211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 7292036?\nAnswer: 7292038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q, 2*w - 5*q = 5*w + 3. Let z be (-2*1\/(-164))\/(190\/(-21052)). Let j = z + 7\/5. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3601048 to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.12 - 352.12. Let l = -338 - q. Let b = -0.9 + -4.1. Put b, 0, l in descending order.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 22 = -f, -f - 5 = 2*t + 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -92 (base 14) to base 6\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-2)\/2)\/(-2 + 0 + -1)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 1\/60*q**5 + 0*q + 7\/24*q**4 - 2\/3*q**3 + 0 + q**2. What are the prime factors of p(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus 58443?\nAnswer: -58456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 9*u + 49. Solve 2*i = -5*p + 7, 3*p = -4*i - 0*i - u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18580.52 decades to months.\nAnswer: 2229662.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2222949 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -65*w - 8. Let k be (-13 - -10)*(-1 - 8\/(-3)). Is r(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1216308905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16107 (base 10) to base 11.\nAnswer: -11113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z - 107*z + 358 = 0. Determine t, given that 0*t - 2\/7 + 2\/7*t**z = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 505260551?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(1 - 4 + 1)*(-3 - 1 + 6)*(2*y + 3*y - 3*y)*(-18*y**2 - 2*y**2 + 9*y**2) to the form z + m*y**3 + c*y**2 + f*y and give m.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:44 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s - 4*i = -38*s - 111, 425*s + 3*i = 429*s + 70 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.2636 millennia in centuries?\nAnswer: 702.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Suppose -1 = -g*d + 5. Let a be 10\/d - (0 - -2). Solve -2*u - 5 = a*r, 5*r - 5*u + 50 = -0*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6733*w**3 - 2919*w**3 + 1.\nAnswer: -9652*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*m - 4. Let n = m + 7. Suppose n*g - 4*g - 25 = 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 35. Let u be n(-8). Suppose 3*i + 5*q = 25, -u*i - 2*q = 2*i - 10. Suppose i = 4*p + 6*p - 1260. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.1686 + 2.4686. What is the closest to 3 in n, -0.3, 8\/91?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212 (base 5) to base 16.\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 135*m**5\/8 + 411*m**4\/8 - 1167*m**3\/8 - 3099*m**2\/8 - 261*m - 54 = 0. Calculate m.\nAnswer: -4, -1, -3\/5, -4\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3 - 197995*f**2 + 395970*f = 0. Calculate f.\nAnswer: 0, 2, 39597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 362 - 145. List the prime factors of v.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.728 - 1.778. What is the nearest to l in -0.1, -5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4\/38 - 26*v**3\/19 - 507*v**2\/19 - 4394*v\/19 + 38. Suppose w(c) = 0. Calculate c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8567258 is divided by 1930?\nAnswer: 1918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 35*l + 37. Let a be q(36). Sort -5, -2, 81, a, -4.\nAnswer: -5, -4, -2, a, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 8. Suppose 72 = -5*r - 73. Let y = s - r. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {b: 5, d: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most 0.1016401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 555*b - 102497. Give l(185).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -5*q**5\/2 - 6*q**2 + 7*q + 5. What is the derivative of o(s) wrt s?\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u**2 - 13*u + 30. Let j(z) = -49*z**2 - 53*z + 121. Let n(f) = 2*j(f) - 9*m(f). List the prime factors of n(4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**9\/12096 + i**8\/420 - 2*i**7\/105 - 11*i**3 + 3. Let p(o) be the third derivative of n(o). Factor p(c).\nAnswer: -c**3*(c - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 360 - 359.7. Which is the fourth smallest value? (a) -5 (b) -0.05 (c) h (d) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120711097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*21034202\nAnswer: 42068404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 212, -70, -842, -2350, -4840, -8558?\n\"Answer: -41*t**3 + t**2 + 2*t + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22\/66)\/((-1)\/9). Let j(d) = 68*d**3 + 4*d**2 + 2*d + 6. Let l be j(p). Round l to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 8*n + 106 + 0*n - 5*n.\nAnswer: -2*n + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4463345.\nAnswer: 5, 223, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108776808 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14943924.\nAnswer: 2, 3, 415109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3818)\/62997*(-66)\/(-10). Let l = -1 - -2. Let p = 2 + l. Put 6\/5, 0.3, o, p in decreasing order.\nAnswer: p, 6\/5, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from fnnbbs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336152788?\nAnswer: 2, 19, 4423063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41.99999804 - -42. Round z to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**3)**(1\/10)\/(q**(-10))**43 assuming q is positive.\nAnswer: q**(2152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/969 and 65\/214663311?\nAnswer: 3649276287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -3*c, -3*c = -2*n - 8*c + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-1)\/54)\/(2\/(-8)). Let d = -30 - -29. Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3 - -1) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 - 12*z**2 - 87*z - 12. Let s(j) = 2*j**3 + 10*j**2 + 86*j + 10. Calculate 5*n(i) + 6*s(i).\nAnswer: -3*i**3 + 81*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.3 (b) -4 (c) -0.08 (d) 5 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 19.64. Let p = 0.06 + u. Let l = -839 - -840. Which is the second smallest value? (a) p (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1551312, 3102596, 4653880, 6205164, 7756448?\n\"Answer: 1551284*k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210123120 - 101?\nAnswer: -210123221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 280 + 362. Let k = t - 84. What are the prime factors of k?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5489.3567 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) -13 (c) 0.019\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -477*c**2*m**2*u - 27*c**2*m*u - 6376*c*m**2*u - 11*c*u wrt c.\nAnswer: -954*m**2*u - 54*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 7*j**2 + 9*j + 6. Determine x(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 1, z: 1, i: 1, r: 1}. Give prob of picking 1 z and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(170\/4) + (-168)\/(-17). Suppose 13*i - f*i = 60. What is the highest common divisor of 70 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 times -848585\nAnswer: 2121462.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/3))**(-24)\/((r\/((r*r**(-1))\/r*r))\/(r\/r**(-8\/5))))\/((r\/r**(2\/7))**(1\/26))**(-1) assuming r is positive.\nAnswer: r**(-34919\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - 6. Let f be (-4)\/6 - (-670)\/6. Suppose -5*k + f = 36. Suppose k = 4*q - q. Determine h(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567398, -567401, -567406, -567413?\nAnswer: -567422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -121. Let d(i) = -63*i - 63. Is 15 a factor of d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559670789 to the nearest integer?\nAnswer: 23657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2378.5 + -2376.5. Let l = 0.7 + -0.67. Which is the smallest value? (a) t (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**2 + 4*y**3 - 9*y**3 + 45*y**2 - 22*y**2.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 434 and 4060?\nAnswer: 125860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(495\/(-240))\/(9\/12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 12*v + 119. Let j be i(-10). Let n(u) = 4*u**2 - u + 3. Let f(g) = g**2 + 1. What is j*n(o) + 5*f(o)?\nAnswer: o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*o**4 - 10*g**3*o - 2*g**3 + 6436*g**2*o - 34*o**4 - 13*o**2 wrt o?\nAnswer: 24*g**3*o**2 - 408*o**2 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 7:59 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.342? (a) -3 (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -1\/13*p**2 + 0*p**3 + 6*p + 0 + 1\/78*p**4. Factor r(x).\nAnswer: 2*(x - 1)*(x + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most 2.61716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -370*b*t**4 + 5*b*t - 21*t wrt t.\nAnswer: -4440*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 868737 = -3*q, -35*q - 4*z - 1158316 = -39*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.5, -3\/35 in ascending order.\nAnswer: -3\/35, 0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddo. What is prob of sequence do?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 790 divide 2849530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 - 16*z**2 + 730 - 322 - 408.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92914643 to the nearest integer?\nAnswer: 9639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 5*b**2 - b - 4. Let g(p) = -2*p**3 + p. Let f be g(-1). Let r = 2 + f. Give s(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20942.2476 microseconds to days.\nAnswer: 0.000000242387125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4117542 and 345528.\nAnswer: 49410504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 49\/4, 2, 39, 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -94346.978 to the nearest 10.\nAnswer: -94350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/36)\/(-11*(-435)\/(-5742)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -27 - -9) + (2 - 3 - 5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*h + 54*h - 1 + 180*h - 545*h.\nAnswer: -246*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/117 and -43\/297804.\nAnswer: 893412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, -7, -5, 88, 5 in descending order.\nAnswer: 88, 5, -5, -7, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -26 (c) 2 (d) -0.3 (e) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a century?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -117*c**3 - 10*c**2 - 29*c - 120. What is the hundreds digit of l(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 30172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 + 0*d**3 + 0*d - 1\/150*d**5 - 4*d**2 - 1\/120*d**4 + 1\/525*d**7 + 1\/1680*d**8 + 0*d**6. Determine p so that g(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48\/5 + -9\/5. Factor 36\/5*x**2 + 18\/5*x**4 + 0 + 12\/5*x + w*x**3 + 3\/5*x**5.\nAnswer: 3*x*(x + 1)**2*(x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**3 - 46*o**3 + 22*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 88 (b) 4 (c) -3 (d) 280\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose 1211 = h*c - 5*u, -4*c - u + 131 = -1062. Suppose -k = 4*b - c, k = -3*b - 4*k + 203. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 16, 2*g + 43*i - 41*i = 1052. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3. Let s = 14795 + -103569\/7. What is the third biggest value in 4, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -482189, -482188, -482185, -482180?\n\"Answer: p**2 - 2*p - 482188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 14 + 45 - 41*q**4 + 43*q**4 to the form d*q**4 + s*q + x*q**3 + p*q**2 + a and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8384242 is divided by 932?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3864 and 8.025.\nAnswer: 7.6386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -292*a - 331*a - 255*a - 753*a to z + s*a and give s.\nAnswer: -1631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13351 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1039531 divided by -32\nAnswer: -1039531\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216967 is divided by 87.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.8 + -2.3. Let l = -0.04 + 5.04. Let t = -5.03 + l. Which is the closest to -1? (a) t (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66311, -65950, -65589, -65228, -64867?\nAnswer: -64506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 18*l**2 - 3. Let f(q) = 6*q**2 - 1. Let y = -362 + 764. Let d = y + -391. Calculate d*f(m) - 4*t(m).\nAnswer: -6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 25, 2, 77, 5 in decreasing order.\nAnswer: 77, 25, 5, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x**2 - x + 1. Let n be t(0). Let d(b) = b**2 - 2*b + 1. Let f be d(n). Let s = 2 + f. Solve 3*m + 5*v = 4*v - 4, -s*m = -4*v - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*h - 4*o = -59*h - 18, 0 = 4*o - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1180335 = 5*q - 2*m, 5*q + 5*m + 0*m = -1180300. Let w be -1 + -1 + 2 + 162065. Let s = q + w. What is s rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157121327 is divided by 157121325.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 14*h**2 - 2*h + 12. List the prime factors of p(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l - 8. Let k be s(-1). Suppose 2*i - 7*i + 360 = 3*c, -k*c + 10 = 0. What is the highest common factor of 23 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 9 + -22 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 241, 3, 4446 in decreasing order.\nAnswer: 4446, 241, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3)\/((-64)\/256).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 5*z**2 + 996*z - 284. Determine b(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 23379 = -x, 0 = 4*x + 5*w - 129793 + 36177. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t**3 - t**2 + t + 8. Give b(-2).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32840)\/(-3)*(-363)\/(-22). Round s to the nearest one thousand.\nAnswer: 181000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3395*w - 631*w - 73*w**2 + 70*w**2.\nAnswer: -3*w**2 + 2764*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*p + 4*p + 2*n, 5*n = -p + 5. Is p - -3 - (-28 + -49) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -19, -7, 1 in descending order.\nAnswer: 7, 4, 1, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -47*h**2 - 417*h + 14. Give g(-8).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1469 + 40741721?\nAnswer: 40741721.1469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ej when two letters picked without replacement from jjnnnnjnjnnnneejj.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 + ((16 - 22 - -98) + 4 - (3 + -4))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n - 733 + 3703 = 0. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*((sqrt(133)*-1 + sqrt(133))\/sqrt(7) + sqrt(19))*-4)**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-140)\/(-21) + -6)*(1 + 2). Let a(x) be the second derivative of -2*x - 1\/20*x**5 + 1\/12*x**4 - 1\/6*x**3 - 3\/2*x**z + 0. Give a(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 21*b + 6. Suppose -b*u = -5*h + 18, 0 = -3*u - 2*h + 6*h - 20. Is 13 a factor of -2*(u - -3) + (-22)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*f, 3*z - 5*f = -2*f + 114. Find the common denominator of 1\/20 and (135\/z)\/((-33)\/(-14)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - 0.1. Let o = -0.12 + -6.88. Let g = o + 3. Which is the biggest value? (a) g (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -4143\nAnswer: -9\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, 286, 1283, 3234, 6457, 11270?\nAnswer: 17991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 8. Let u = -0.09 - -8.69. Let d = u + -9. Which is the third smallest value? (a) d (b) 3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17))*-2 + 3.\nAnswer: -2*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87968238 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 37. What is the units digit of ((-55)\/3 - 3)*k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -18022113 and 5.\nAnswer: -18022108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 2*w - 2. Let o = 16 - 8. Let t(z) = 2 - 9 + 0 + o. Let i(l) = p(l) + 2*t(l). Factor i(c).\nAnswer: 2*c*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -53*m**3 + 5*m**2 - 5*m + 5. Let c be n(3). Let y = c + 8357\/6. Calculate the common denominator of y and -95\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 132 = -13*k. Calculate the remainder when 111 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-1 + sqrt(80) + 0 + sqrt(80) + -2 - (0 + sqrt(80) + 2 + sqrt(80) + 1))**2.\nAnswer: 40*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**3 + 0*l**3 - 4*l**3 + (l - 5*l + l)*(103*l + l**2 - 104*l + l**2))*(4*l + 2*l - 4*l) in the form n*l**2 + b*l**4 + s*l**3 + u*l + z and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 6*r + 1217. What is the tens digit of s(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*o - p - 5 = 0, -o - 2*p = 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 17 = 2*f, 5*f + 2*p + 2602 = 2632 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 272159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1844382 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4020 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-1)))\/(o**1*o)*(o*o\/((o*o**(2\/13))\/o))\/o**(-4\/3) assuming o is positive.\nAnswer: o**(85\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 130, 107, 64, -5?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (231\/22*4\/4)\/(63\/(-7))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)*(1 + 0). Let g be (-1)\/3 + (-1)\/(-1). Let p = -7\/33 - -6\/11. Which is the second smallest value? (a) p (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 305 = -56. Suppose p = b - 14. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.89, -2.5, -0.4 in descending order.\nAnswer: -0.4, -0.89, -2.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2950 + -2947. Let k(w) be the first derivative of -1\/4*w**3 + 3\/8*w**2 + 0*w - 3\/16*w**4 + 3\/20*w**5 + y. Factor k(d).\nAnswer: 3*d*(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 10*p**2 + 11*p - 12. What are the prime factors of n(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 14*u = 6480. Round u to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*c - 3 + 69 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i**4 + 6*i**3 + 24*i**2 - 34*i + 12 = 0 for i.\nAnswer: -2, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11261473 less than -257.6198?\nAnswer: 11261215.3802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/6 + 294\/18. Determine u so that 16 - z + u**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*z + 89 = -10*z, -275 = -5*o + 2*z. Let m = 55 - o. What is the nearest to -0.03 in -0.5, m, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 - 1 = 0. Suppose n*g + l = 4*l - 4, 4*l = g + 7. Let t be ((-10)\/(-25))\/(g\/55). Solve -4*m + t = 2*k, m - 4*k + 7 = -2*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1053 + -1049. Let h(s) be the first derivative of s**2\/2 + 8*s + 3. Let m be h(-4). Solve m = -p*j - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252*(-9)\/2772*3\/((-27)\/2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**6\/360 - y**4\/2 + y. Let d(w) be the third derivative of j(w). Let b be 4\/(-4)*-1*3. Determine d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 7. Let h be m(6). Suppose 0 = b + q - 19 - 41, -15 = h*q. Suppose -5*u = -y + b, 4*y + 5*u - 23 = 3*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:01 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 + 4.669. Let w = -2966 - -2971.2. Let m = w - x. Which is the second biggest value? (a) 3 (b) m (c) -4\/3 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05594, -16, -163?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 183 (b) -0.4 (c) 0.2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957166 is divided by 272.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoxxixxfofoff. Give prob of sequence if.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -61*w - 7741. Give l(-127).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19198 by 331.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 67 - 4 = 0. Solve 2*k - 1 = d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(6\/(36\/(-14))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -1, 4, -0.08, 3, 2\/97?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/15, -1\/12, 5, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*(-306)\/(-68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/16*(-2)\/10)\/((-41)\/(4920\/(-72)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.026 or 0.12192336?\nAnswer: 0.12192336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52510 rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*v + 6, 0 = o - 3*v - 14. Let t(r) = -5*r + 12. What is t(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/53490 and -121\/1315854.\nAnswer: 6579270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627 = 34*v - 31*v. Let t be 222\/57 - (-22)\/v. Solve -2*q - 2*d = 8, 0*d - t*d = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 42. Calculate the remainder when l is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002386648 to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/27*(-2)\/(((-280)\/(-30))\/7).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*9*2\/(-20)*4. Let a = 168 - 114. Calculate the greatest common divisor of a and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 6*l - 2, 2*l - 170 + 162 = -6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vyv when three letters picked without replacement from vvhvvyyvvvvvvvyhvvvv.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32928885 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -804, -1607, -2412, -3219, -4028, -4839, -5652?\n\"Answer: -s**2 - 800*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (12 + -4 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 - -1309\/10. Calculate the common denominator of f and 1082\/(-120) + 10\/(-25).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/15)\/(1\/(-5)). Let s = -17 - -22. Suppose 2*y - 3 = s. Solve -16 = 3*u + u, 2*u = y*z + q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*h**2 - 51*h**2 + 108*h**2.\nAnswer: 320*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 3*c**2 - c - 1. Determine q(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 + d**4 + 0*d**4)*(-27 + 80 - 5).\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*h - 153, 2*h - 4*h - 107 = -3*z. Suppose -99 = -4*q + z. Calculate the lowest common multiple of q and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 7*b**2 - 2*b + 8. Let m be v(8). What is the remainder when 39 is divided by 4\/(-10) - m\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2*sqrt(70) + sqrt(70))\/sqrt(2))\/(5*sqrt(567)).\nAnswer: sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -432558 (base 9) in base 6?\nAnswer: -5305255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -15. Suppose -w + 2 = -3. What is the smallest common multiple of m and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-40)\/18*-3*(-90)\/40.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 9*m**2 - 7*m - 10. Let q(k) be the second derivative of k**5\/20 + k**3\/6 + 5*k**2 - 7*k. Let t be q(0). Does 3 divide j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121 - -124. Suppose 0 = 5*y + 2*c - 9, -4*y + 5 + 1 = c. Solve i = z + y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346308042?\nAnswer: 2, 3, 53, 97, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 105*m**2 + 160*m**2 + 58*m**2)*(-2*m**2 + 3 - 3) in the form j*m + s + a*m**4 + u*m**2 + w*m**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + 16 - -14 - 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*s + 104*s - 19278 = 0. Let r = -9547715\/14 + 682900. Let m = s - r. Find the common denominator of -57\/10 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-492)\/(-328)*2\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11602063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7389286, 14778570, 22167854?\nAnswer: 29557138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 u when four letters picked without replacement from {u: 1, m: 4, a: 2, k: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 50. Let w be z(-13). Determine n, given that 2\/3*n + 2\/3*n**w + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 1 + 3. Suppose -2*d = -13 + o. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 13709 = -3189. Is 48 a factor of 6 - (-1 - -5 - m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.237 + -0.037. Which is the nearest to -0.2? (a) 1 (b) l (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjwjwwwwjwjw. Give prob of picking 2 j and 2 w.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*q**5*z**2 + 47*q*z**2 + 3*q*z wrt q.\nAnswer: -1100*q**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 43*c**2 - 45*c + 714. Calculate the remainder when y(41) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 2 (c) -1 (d) 38 (e) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = 3*v + 4*z, 3*z = 2*v - 13. Suppose 7 + 14 = 3*p + 5*i, 3*p + 2*i = 12. Solve 5*b = p*b + 5*f - 35, -f - 6 = v*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 7*g + 5*g - 2*g**4 + 3*g**4 - 4*g**4 + 0*g**4 + (g**2 + 2*g**2 - 2*g**2)*(-1 + 1 - g**2) + 3*g**3 + g**4 - 3*g**3.\nAnswer: -3*g**4 + 11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10616*c + 24*c**3 - 3*c**3 - 10639*c.\nAnswer: 21*c**3 - 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 - 3. Let n = -133 + 130. Let d(h) = -1. Give n*d(v) + q(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23)\/(-4) + 36\/(-48). Let l be (10\/(15\/3) + -3)*h. Which is the second biggest value? (a) -44 (b) 2\/3 (c) -2\/5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2 + 46*v + 44. Calculate the remainder when (2 + (-32)\/6)*-3 is divided by p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v. Let l = -24 - -27. Let w(m) = -4*m. What is l*w(x) - 4*j(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a + 0*a)*(-2 - 1 + 1) + 32*a - 171 - 71*a + 13*a.\nAnswer: -30*a - 171","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {q: 8, a: 2, r: 9}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*i - i - 85, 2*i + 44 = 2*j. Let w(n) = 2*n + 51. Suppose 38 = -6*p - 82. Calculate the remainder when j is divided by w(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 1000000011011?\nAnswer: -1000000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(sqrt(605) - (5 + -2*sqrt(605)))**2 - ((sqrt(605) - 1*(sqrt(605) - (sqrt(605) + 0)))**2 + (sqrt(605) + 1)*-2))*-5.\nAnswer: -40040*sqrt(5) + 668460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 5*m - 99 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4.2. Let v = 0.11 + 0.89. Suppose -3*m + 9 = -6*m. Which is the nearest to v? (a) k (b) m (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*n - 7. Suppose 3*g = n*g + 7. Solve 3*h + 2 + g = -3*o, 4*o - 4 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 543224?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88322 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7925.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 13 + 19 - (0 + 40).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.94219863 rounded to 4 dps?\nAnswer: -1.9422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 49, 21, -27, -101, -207, -351?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 5*r**3\/3 + 20*r**2 - 725. Factor t(s).\nAnswer: 5*s*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 216. Let l be (i\/(-8))\/(9\/(-12)). Let f be (0 - 5)\/((-2)\/l). Calculate the greatest common divisor of 18 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 6031*f**3 + 2*f - 3017*f**3 - 10*f - 3021*f**3 + 1 + 2*f**4 to the form x*f**3 + a*f**2 + w*f**4 + h*f + p and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 + 37*w**2 + 24*w + 11. Determine x(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 15 = -3*x + 2*d, -d = 2. Suppose 5 = -3*z - 7. Let q be (-3)\/(-4) + (-1)\/(-4). Put x, q, z in ascending order.\nAnswer: z, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-4\/3)\/q)\/q)\/q)\/q*q**(1\/2) assuming q is positive.\nAnswer: q**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 4*t + 1, 3*f + t = -17 + 33 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 376 divide 56776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/7, -1\/9, 1\/21, -0.3 in ascending order.\nAnswer: -0.3, -2\/7, -1\/9, 1\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*o - 788*o - 61007 + 5454 = -148*o for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224214 and 115769162?\nAnswer: 347307486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 14396*h**2 + 2*h**3 + 10 + 11 - 22*h**3.\nAnswer: -20*h**3 + 14396*h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 1 - 1)*(-280*o + 679*o - 234*o).\nAnswer: -165*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.32 and -0.1.\nAnswer: 0.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 250 = -3*w, -4*w + 263 + 72 = -3*n. What is the remainder when w is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16920.1 + 132\nAnswer: -16788.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + s + 4 = 0, -4202*s + 4207*s = -z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 2*i + 2*i)*(-4 - 3 + 3) + 1 - 1 + i + 0 + 0 - 2*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/509 - 18842\/4581. Find the common denominator of ((-26)\/(-14) - 1)\/(-7 + 2768\/448) and b.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-36))\/(((-2)\/3)\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26*v**3 + 2*v**2 + 155. Let a(w) = -10*w**3 + w**2 + 52. What is -8*a(k) + 3*j(k)?\nAnswer: 2*k**3 - 2*k**2 + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597776977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w + 100*w - 18*w - 26*w - 39*w - 24*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1.47, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 351\/10 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 9:49 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 47\/(-38) + 60\/40. Let l = t + -150\/209. Let a(n) = 2*n**2 - 1. Let s be a(1). Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kko when three letters picked without replacement from kqqqqokkequuq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75*d**2 + 179261*d + 49851936 wrt d?\nAnswer: -150*d + 179261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10175\/5500 + (10\/25 - -2)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2*z**2 + q**2*z + q**2 + 254*q*z**2 + q*z + 18*q - 15 wrt z?\nAnswer: 4*q**2*z + q**2 + 508*q*z + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 51*o + 34. Let c be k(-26). Solve 12 = -x - 3*y, -2*x + 4*x - 2*y - c = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/16 (b) 3 (c) 23 (d) -2 (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/31, -6, 5, 0.006, -4\/5, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 3:40 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 35*b = 36*b + 8 + 2, -a - 170 = -4*a - 7*b - 257 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i + 11. Let y(u) = -u**2 - 15*u - 4. Let b be y(-13). Let s(o) = 2*o + 3. Give b*s(v) - 6*h(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(34)*-4)\/(2*sqrt(288)))**2*-5*-4.\nAnswer: 1360\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-6 + -25 - -18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 459 + -445. Let z(b) = 2*b**2 - 26*b - 2. Let j be z(i). What is the highest common factor of 156 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 + -3.7. Let a = -0.500035 - -0.5. Let m = a + x. Round m to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 4?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 3\/4*s**2 + s + 1 + 1\/16*s**4 + 3\/8*s**3. Factor a(f).\nAnswer: 3*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010 (base 2) to base 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4182525 and 7975?\nAnswer: 46007775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + c + c)*(c + 13*c - 4*c) + 3 - 3 - c**2 + (-2 - 3*c**2 + 2)*(-1 + 2 + 0).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2681, 2680, 2679, 2678?\n\"Answer: -z + 2682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) 2\/3 (b) -0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q = -4 + 606 - 31 + 9 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*t - 119 + 375*t - 560.\nAnswer: -7*t - 679","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 22 - 10*j**2 + (-1 - 1 + 0)*(0*j + 0*j - j**2).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16582.993 - -16594. Let s = 0.007 - z. Which is the nearest to 2\/7? (a) 0.1 (b) -2\/5 (c) s (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2311+-1.1\nAnswer: 2.1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4 + 9010*j**3 + 3977105*j**2 - 73791900*j + 335380500 = 0.\nAnswer: -910, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*159.\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 - 143 = -45*z - 30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**6\/120 - a**4\/24 + 14*a**3\/3 - 3*a**2 + 16. What is n(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:42 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173810 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2.2963+-1.1\nAnswer: 1.1963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(1\/6*-1*15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3)\/(170\/765).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j - s + 1, 1 = -4*j - 5*s. Let z(k) be the first derivative of -316666*k**2 - 8*k - 2. Let h be z(j). Round h to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124 - 23. Suppose 40*i - w + 2 = 39*i, i + 4*w = 28. Suppose 0 = -i*h - 21 + p. What is the greatest common factor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = s - 0*l + 13, -4*s - l - 13 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t\/(t\/(t**(-1\/3)*t)))\/t))\/t)**(-9\/4))**(2\/91)*t**(7\/2)\/(t\/t**(-1\/2))*(t**(-1))**(-16) assuming t is positive.\nAnswer: t**(3273\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k**2 - 18 + 18 - 33*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllxllxxxxlm. What is prob of sequence xm?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = -2*m - n, 10 = 2*m + 4*n. Which is the nearest to m? (a) 5 (b) 2 (c) -4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 72250 (b) -0.03 (c) 0.06 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/3)\/2 - 92\/(-138). Solve 0 = 3*k - o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -11 + 2. Let b = 3 + m. Find the second derivative of -h**3 + h + 4*h**3 + b*h wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67\/4 + 343\/20. Let a(k) = k + 7. Let q be a(0). Suppose -q*w + 5*w + 4 = 0. Put 0.2, n, w in descending order.\nAnswer: w, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 7*t - 25 - 27 + 69. Let p be r(-10). Let g = 64 + p. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5446240.\nAnswer: 2, 5, 34039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mggigsgsssfsn. What is prob of sequence ssis?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 29 = -3*g, -n - 6 = 5*g + 5. Suppose 4662 = a + 4*h, n*h + 3560 + 1134 = a. Round a to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 6 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 + 2*t - 15. Calculate w(4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 18. Let y be ((-312)\/(-91))\/(4\/h). Suppose -5*u + 9*u = 20. Solve 0 = -u*i + y + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:13 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 1893*b**2 - 1899*b**2 + 2 - 3*b - b + (0 + 4 - 3 - 2 + 2 + 6 + (0 - 1 + 2)*(3 + 0 - 5))*(-2*b**2 + 4*b**2 - 3*b**2) as j*b + q*b**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**3 - 5*c**2 + 5*c**2 + (-20*c + 20*c + 6*c**3)*(0 - 3 + 4) as a + f*c + u*c**2 + j*c**3 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 96 = -5*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 88*x**2 + 215*x - 214. Give w(1).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -5 (c) -5\/2 (d) 51 (e) -13 (f) 0.0702\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 818290607 to the power of 1\/3, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbmnubnffnnbbnnu. Give prob of sequence buf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180260 or 180252?\nAnswer: 180260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 24, 21, 2, -39?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -216. Let o = m + 190.2. Let i = 3.7 + -4. What is the third biggest value in i, o, 2\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -584970 + 2912852\/5. Let y = n + 124603\/55. Let i = y + 134. Find the common denominator of 91\/4 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((1*sqrt(98)\/sqrt(2) + -6*sqrt(196)\/sqrt(4) + sqrt(49))\/(sqrt(70)\/sqrt(490)*6) + 3))**2.\nAnswer: -1008*sqrt(7) + 5812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -7. What is the units digit of h*(2 - 4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 90071 + -90069. Let t = -7 - -7.3. Sort -37, r, t.\nAnswer: -37, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27814 - 27831.401. Let u = n - -0.001. Let m = u - -17. Which is the second smallest value? (a) -0.5 (b) m (c) 4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 764.033 millilitres to litres.\nAnswer: 0.764033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/22*-17 + 124\/(-682). Solve -3*m - r = -8, -2*r - r = 3*m - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 1676, 5147, 11638, 22091, 37448, 58651, 86642?\nAnswer: 122363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 37. Let i(u) = 9*u. Calculate the remainder when b is divided by i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1148 - -676. Let j = 4 - l. Let w = -307 + j. What is the greatest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2107*w + 153. Let p be l(-16). Suppose -43*t + p = -29431. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5 = -1. Let n(c) = 29*c + 2. Is n(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -4, 4, 2 in descending order.\nAnswer: 4, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013687 (base 9) to base 16.\nAnswer: -84052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*l + 1108*l**3 + 112*l - 35*l - 38*l.\nAnswer: 1108*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7036 - -5953. Do -1082 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p - 3*p**5 - 2*p**5 + p**2 - p**2 + (-3*p + 3*p + 2*p)*(-p**4 - 4*p**4 + 3*p**4) - 8079*p + p**3 + 8067*p + 0*p**3 - 2*p**5.\nAnswer: -11*p**5 + p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224251905.\nAnswer: 3, 5, 1543, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -11. Suppose -2*l + 25 = 5. Is l > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1457551226 and 6458?\nAnswer: 6458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/8544 and 125\/25632.\nAnswer: 25632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 + 219 = 3*w, 3*w = 2*r + 2*r + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*a - a + 9, -17 = -5*k - 2*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24512872669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**2 - 16*r**2 + 45*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2249, -9829, -22469, -40169?\n\"Answer: -2530*f**2 + 10*f + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 239905093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(-4)\/(-13). Let p = 43.9 + -44. Let r = 0.2 + p. Is r < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2*q + 75973*c**2 + 51*c*q**2 - 2*c*q - c with respect to q.\nAnswer: -2*c**2 + 102*c*q - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 3*k**3 - 5*k**3)*(0*k + k + 0*k) - 2*k**3 - 2*k**4 + 2*k**3 + 14*k**3 - 30*k**3 - 3*k**4 - 19*k**3.\nAnswer: -8*k**4 - 35*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -11. Let a(k) = k**3 - 5*k**2 + 5*k - 3. Let l be a(z). What is the closest to l in -4, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 5 = c + 2*k, -c = -2*k + 21 - 3 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -1752\/101?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 24 - 18*l + 41*l - 11*l. Does 4 divide p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3117977513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcbccvvvcbcvcvcvcc. What is prob of sequence vcb?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or -100\/2123?\nAnswer: -100\/2123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-6))\/(2\/279). Let u be (-18)\/48 - f\/104. Let s = u - 20\/13. What is the common denominator of 25\/4 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*s - 1364 + 1304, 0 = -h - 5*s - 75 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -508 + 508. Let k = 35 - 104\/3. What is the closest to r in k, 2\/5, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -0.01, -1889?\nAnswer: -1889","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (297780\/(-54593))\/(68\/132 + (-2)\/6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.50391325 - -0.663915. Let g = a + -0.16. What is g rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26520029871534+5\nAnswer: -26520029871529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 12*t**3 - 9 + 18 + 6*t**2 to the form b*t**3 + x*t**2 + d*t + n and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**2\/2 - 9*n + 48. Give m(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 2)*(-2)\/(-2)*-1. Let c(k) = 1616 - 3*k - 1613 + f*k. Determine c(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(40)\/(2*sqrt(5)))**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 2326 - 2357 + 5*s**2 + 8*s to the form o + g*s**2 + h*s and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 25.3247 + -0.4\nAnswer: 24.9247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008405691 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**4*l**1*l**(-6)\/l**(-1\/8) assuming l is positive.\nAnswer: l**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3523*a + 1168*a = -93550 - 11702 - 40169 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 38*p + 108. Let b be f(-8). Let c = -9 - b. What are the prime factors of c?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 23. Let x = -20.39792956 + -24.6020697. Let a = x - g. What is a rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**4 + 27664*f**3 + 48*f**2 - 332032*f + 442624 = 0.\nAnswer: -4, 2, 6916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 719*t - 29794. Give u(56).\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:00 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774199 is divided by 96.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 205947*c**2 + 16*c - 3. Is r(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(8 + -6) + 864. Let p = -815 + k. Let f(b) = -39*b - 5. Let m be f(-5). Calculate the highest common divisor of p and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 12*g + 2. Let w(l) be the second derivative of -l**3\/6 + l. Determine -d(r) - 10*w(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.99999816 + -46. Round a to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*(-10)\/(-5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9) - 4458\/(-9). Let f be 2\/(-3) + w\/24. Let r be 4\/5 - -2 - (-4)\/f. Solve 0 = r*d - 6*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:06 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473597 is divided by 103047.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -604 (b) 74 (c) 0.2 (d) -0.1 (e) 3\/5 (f) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314, -639, -964?\nAnswer: -1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969808837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 801413013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**2. Let a(i) = 2*i - 310. Give m(a(l)).\nAnswer: 24*l**2 - 7440*l + 576600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 1302 = -9*d. Suppose 0 = -3*m - d + 1768. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*z + 550 - 510, 0 = 3*x + 5*z - 76. Suppose 7 - 2 = -5*r. Let j = r + 1. Solve j = x*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22 - 24 - 34*x**2 + 46 - 4*x wrt x.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 636061854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 21063 + 354*d + 352*d - 21063 as w + v*d and give v.\nAnswer: 706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/j)\/(j\/j**(2\/29))*(j**(-1\/22)\/j)\/(j\/(j\/(j**(-15)*j*j))) assuming j is positive.\nAnswer: j**(3205\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 16*z - 97 + 71\/5*z**5 + 0*z**4 + 0*z**3 + 0*z**2. Differentiate a(o) with respect to o.\nAnswer: 284*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15729, 31905, 48079, 64251, 80421, 96589?\n\"Answer: -w**2 + 16179*w - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 1 - 7*m**2 - 7 + 3*m + m - 2*m. Does 11 divide t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 42*z**2 - 117*z + 11. Let h be p(15). Calculate the highest common factor of h and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2266 and 10208.\nAnswer: 1051424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 80 + 87 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q = -28*q - 1030 - 450 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -0.5, -0.1, 990 in descending order.\nAnswer: 990, 0.4, -0.1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161\/1060 + 26\/265. What is the nearest to 0.2 in b, 213, -0.3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162488 + -162433. Calculate the remainder when (-405)\/6*(-24)\/10 is divided by t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u + 5. Let b be p(0). Solve -2*g + 4*a = 18, 3*g - b*a + 21 = -2*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:26 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*p**2 - 4*p + 455*p**2 - 93*p**2 - 99*p**2 - 95*p**2 + 4*p.\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/27, 1\/2, 2\/9, -1\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a kilogram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.51162 and -0.4?\nAnswer: -0.204648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-3) - 1\/3. Let v = 110 + -54. Suppose -55 = -c*n + 5*j - 0, 5*n - 4*j = v. Solve -2*g - 2*g = -n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2382?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 82 and 0.1.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-16 + 11)) + -30 + 15\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 15 = 0, 444 = 2*i + 5*w - 147. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 988 and 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3 = -r, 4*d = 2*r + 525 - 541 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 808605 and 2295?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66080093?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 7*h**2 - 11*h - 20. Let g be j(-8). Solve -4*v - 13 - 12 = -5*z, -4*v - 24 = -g*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 1. Which is the third smallest value? (a) 1 (b) 3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 11 = -4*t - 14, t - 4*m = 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45818 is divided by 9134?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 608979 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: Suppose -4*x = -9 - 103. Let j = x + -19. What is the greatest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*1)\/((-1)\/3). Let r be 2 + (-4)\/18 + (-20)\/(-9). Suppose l = r*c + 24, 3*l - m = 7*l + 5*c. What is the remainder when 5 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {o: 1, m: 1, j: 1, i: 1, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -14. Is (128 + -1)*11\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 4*u - 4*u**2 - 7*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y**2 + 18. Let a be t(0). Suppose 0 = 5*m - 7*m + a. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28046 + -28028 - ((1 - 12) + (0 - 1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3816468ml to litres.\nAnswer: 0.0003816468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 5*b + 24*l - 45, 29 = -4*b + 13929*l - 13928*l for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p - 9034 = -2385. Suppose 0 = -p*l + 108*l + 26171. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 73850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297609849.\nAnswer: 3, 11022587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from ikp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683240 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 8*f = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b - 5. Let j be m(-4). Let k(z) = z**3 + 37*z**2 + 133*z + 46. Let h be k(-33). Does h = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 9:55 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-5)\/(-675)*15\/(-5).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, e: 1, s: 1}. Give prob of sequence se.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 129 - 3. Let t = l - 125.7. Sort 5, t, 2, 3 in increasing order.\nAnswer: t, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -854 divided by -65\nAnswer: 854\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 0.4, -662, 0.02 in descending order.\nAnswer: 0.5, 0.4, 0.02, 0, -662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 1)*(-5 - 2 + 5)*(-11*v**5 + 8*v**5 + 21*v**5 + (-3 + v**2 + 3)*(2*v**3 - v**3 - 2*v**3) + 6*v**5 - 2*v**5 + 0*v**5 + v**5 + 3*v**5 - 2*v**5).\nAnswer: 230*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 + (-3)\/(-1). Let g(m) = -m**3 + 6*m**2 - 5*m - 2. Let q be g(p). Suppose 0 = -2*s - q + 34. Calculate the lowest common multiple of s and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 138*p - 68. Is v(4) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5918 and 418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -251.69828 smaller than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29116 - -50584. What are the prime factors of j?\nAnswer: 2, 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 517 by -47.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ba - -2a046?\nAnswer: 29e7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -687149 by 26.\nAnswer: -687149\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 797 or -15270?\nAnswer: 797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 378?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -653*z**2 - 5*z - 22. Let n be k(-6). Round n to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/36 and 53\/18324.\nAnswer: 18324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 1283 = 383. What is the derivative of -35*z**3 - 44*z**3 + 16*z**3 - i wrt z?\nAnswer: -189*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131.85 - -116.85. Which is greater: m or -356?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*i - 3. Suppose i*t = 15 - 7. Let o be (2\/(-3))\/(t\/(-9)). Solve -3 = o*b - 2*w, w - 2*w - 1 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000083664079 to 7 dps.\nAnswer: 0.0000837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p = 64*p - k - 81, -4*p + 3*k - 345 = 0. Let x be ((16\/6)\/4)\/((-56)\/p). Let z be (-60)\/14 - (-2)\/7. Sort x, -3, 0, z in descending order.\nAnswer: x, 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.1526776 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -4*b**5\/5 + 5*b**4\/4 - b**3\/3 + 6*b + 1. What is the third derivative of l(s) wrt s?\nAnswer: -96*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214353?\nAnswer: 3, 17, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -63. What is the least common multiple of 18 and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (136\/(-170))\/(2\/(-10)). Solve w*p + p = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 - (-15 - -15))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14867166 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**5*s + 2*d**3*s - 2*d*s - 3*d - 13*s wrt d?\nAnswer: 100*d**3*s + 12*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 11) in base 6?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 572628*a + 308 - 566069*a - 1388 wrt a?\nAnswer: 6559","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00305 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22014257?\nAnswer: 59, 67, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5, 6*o = 4*o - 4*g + 132. Suppose -w + 3*w = -o. Let j = -23 - w. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Suppose -198 = -l*x + 2*x. Calculate the greatest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 - 9*m - 52. Let u(f) = f. Let l(v) = -2*u(v) - w(v). Find the first derivative of l(x) wrt x.\nAnswer: 9*x**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.4 (c) 31 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/(-3) - 2\/6. Let o be (-10)\/((-2)\/30*-3). Let k = x - o. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1333 or 1384?\nAnswer: 1333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + c**3 + 3*c**3)*(3 - 2 + 0)*(5 + 3 + 5).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - -3) + 2 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(114) - sqrt(114) - sqrt(114))*-1 + (sqrt(114) - (sqrt(114) + -4*sqrt(114)*-1)))*1)\/(((1*sqrt(294)*-1 - sqrt(294)) + sqrt(294))*-4).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 10, -21, 273 in increasing order.\nAnswer: -21, -4, 4, 10, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 75863.83 millimeters?\nAnswer: 7586.383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*n**5 - 18*n**5 - 3*n + n**2 - n**4 + 5*n - 3*n**3.\nAnswer: n*(n - 2)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 2:25 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(-1\/3))**(2\/37) assuming j is positive.\nAnswer: j**(-14\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296819*k + 74203*k + 74200*k + 74206*k + 74203*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -298 - -509. List the prime factors of n.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 2914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/18*(-12)\/10. What is the second smallest value in a, 1, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 52 = 8*f. Solve c - 20 = f*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 43, 72, 115, 178, 267, 388, 547?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 2*r + 3*r + 6*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4415825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 6*x + 9. Let o be f(8). Is o != 1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 + (-21)\/9. Let s(t) = 2*t**2 + 4*t + 1. Let w be s(g). Is w*((-16)\/4 + 795) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b + 5*b + 0 + 1. Let h(f) = 10*f - 90. Let c be h(3). Let l be c\/25 + 2\/5. Determine v(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u + 0*u - u**2 - u - 3. Let x be z(2). Let g be -2 - (x - 56\/2). What is the greatest common divisor of g and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:45 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.14799 and 2.\nAnswer: 1.85201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {m: 8, h: 1, k: 6}.\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -0.891, 7, 24?\nAnswer: -0.891","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -0.02, -1\/9 in ascending order.\nAnswer: -20, -1\/9, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000428567807 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6375309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/15 - (-9486)\/270. Solve 0*f + 4*f = -16, -3*o + 5*f + x = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2840 by -1.\nAnswer: -2840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Let h = p - -1. Suppose 0 = i - t - 12, 4*i - 53 = h*t + 3*t. Calculate the highest common divisor of 77 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3528 * 5\nAnswer: 17640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1805*g**3 - 2206*g**3 - 918*g**3.\nAnswer: -1319*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3551894.999972 - 3551913. Let l = 18 + b. Round l to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/4 - 7885765*n**2\/2 + 3109268424640*n - 6218521077760.\nAnswer: 5*(n - 1577152)**2*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*u - 33 = 0, 4*k - 42 = 2*k - 4*u. Suppose -183 = -k*s + 102. Solve 4*x + 19 = -3*c, -2*x + 3*x - s = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -3*h**5\/5 - 13*h**4\/12 + 3*h. Find the third derivative of o(z) wrt z.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1\/8 (b) 2\/11 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 8:39 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:34 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1728.7 - -1729. Let q be (418\/(-12))\/(-11) - 1\/(-2). What is the biggest value in -5, 0.2, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 39. Let q(y) = 2*y + 20. Let z(n) = -3*k(n) + 5*q(n). Let x(g) = 2*g + 8. Let b(l) = -7*x(l) - 3*z(l). Suppose 3*a - 16 = -4. Give b(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6*(-2 + -4). Let o = j + 30. Suppose 67 = 3*q - 3*h - o, 2*q - 67 = 3*h. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 - 5*z - 3. Give f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 192298393.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 0*o - 8. Let y = o + 9. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5175366 rounded to 3 dps?\nAnswer: 5.518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134555062153\/63391666520 + 17\/38050220. Let v = -2\/833 - y. Let b = 4\/839 - 79753\/10068. Calculate the common denominator of b and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-3 + 4\/4). Let q(l) be the second derivative of 0 + 0*l**t - l + 1\/48*l**4 + 1\/24*l**3. Factor q(m).\nAnswer: m*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {b: 1, g: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -17119118.9 to the nearest 10000.\nAnswer: -17120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7762, 15174, 22586, 29998?\nAnswer: 37410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.72 + -16.12. Which is the nearest to -0.2? (a) l (b) 2\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665006587 to the power of 1\/3, to the nearest integer?\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 divided by -466?\nAnswer: -192\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n. Let u = 4 + -2. Let r be (-17)\/(-2) - ((-5)\/(-2) + -1). Let h(k) = k**u + r - 7. Determine y(h(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 9*v**2 - 7*v. Suppose 21308*w - 21303*w + 40 = 0. Determine u(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269\/2 - 137. Which is the biggest value? (a) -4\/7 (b) 0.7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 647692 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/4)\/(k*k**(3\/8)*k)*k*(k*k\/((k*k\/(k\/(k\/(k*k\/k**3))))\/k))\/k*k**(-1\/6)*k)**(3\/14))**46 assuming k is positive.\nAnswer: k**(-1265\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158173557 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3494.4 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1adbecd + 1?\nAnswer: -1adbecc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115854840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2. Let v(w) = -3432*w + 2. Determine p(v(y)).\nAnswer: -35335872*y**2 + 41184*y - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.976 - -0.024. Let j = -14.8 + p. Let t = 0.18 - -0.82. Which is the closest to j? (a) -4\/5 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23061953?\nAnswer: 19, 283, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212474 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*w + 132000, 0 = -5*l - w - 21804 + 241804. Round l to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 9) to base 3.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42383982 and 258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3) - (-2)\/(-6). Let m(r) = r - 1. Let v(x) = -1198*x + 73. Let h(j) = 126*j - 8. Let u(b) = 19*h(b) + 2*v(b). What is t*u(n) - 6*m(n)?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*a + 4*v, -a - 3*v + 3 + 14 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from ppplpplplllplpllllp?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -3. Suppose -3*x + 4*b + 29 = 0, -2*x - 2*b = 2*x - 2. Suppose 4*a - 3*n = -4*n + x, -n = 2*a - 1. Solve d = -2*z - a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19*r - 4. Let g(v) = -5*v + 1. Let u(c) = -d(c) - 4*g(c). Let o(l) be the first derivative of -2*l**3\/3 + 1. What is o(u(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -687691 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286202*j - 286172*j = 630 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 1. Suppose -2*u - 3 = -13. Let d(o) = u*o + 0*o - 4*o. Calculate -2*d(h) + x(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -31.6. Let f = n + 13. Which is the third biggest value? (a) -2\/7 (b) -0.8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -159, -243, -329, -417?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**2 + l**4 - 2*l**2 + l - 4 + 6 in the form x*l**4 + o + m*l + q*l**3 + f*l**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14 + (-46)\/3)*(-45)\/(-12). Which is smaller: -120 or q?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*k + 30 = 3*k, 4*k = 0. Sort 4, 2, g.\nAnswer: 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, n: 1, d: 1, p: 5}. Give prob of picking 1 d and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 61. Let q = 2702 + -2701. Let c = -0.7 + 0.2. What is the biggest value in -5, q, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1811 - -1813. Which is the nearest to o? (a) -4 (b) 0 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q - 84. Let w be s(-20). Let y(a) = 2*a**2 + 2*a + 1. Let o(t) = -t**3 + 9*t**2 - 24*t - 6. Let l(g) = o(g) + 4*y(g). Calculate l(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004457543 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 4, -0.002, 0.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/6*1\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5426*y + 1 - 5410*y + 0.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:39 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 947980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*p - p + 0*p)*(6*p + 2*p - 6*p)*(-484 + 984 - 479 + 25*p) + p**3 - 4*p**3 + p**3 to the form x*p + a*p**3 + q*p**2 + j and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) + 226\/88. Let l = 4223\/65 + -119837\/2860. Let n = m - l. What is the common denominator of 51\/4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -27*q + 4400. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 604 - 168. What is the tens digit of (1\/3)\/((-10)\/150) + o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2962593 divided by 3.\nAnswer: -987531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - (2 + sqrt(242)*-2)) + 2)*-5)**2 + -4 + -1 + sqrt(288) + -2*sqrt(2)*-3.\nAnswer: 18*sqrt(2) + 54445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1714 + 45?\nAnswer: -169c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 8:00 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3198*a*n**2 - a*n - 3310*a + 4079*n**2 - 11*n - 914 wrt a?\nAnswer: 3198*n**2 - n - 3310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l + 107. Let r(i) = -24*i + 430. Determine -9*f(u) + 2*r(u).\nAnswer: -3*u - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1247, 2529, 3849, 5207, 6603, 8037, 9509?\n\"Answer: 19*x**2 + 1225*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.169 * 182\nAnswer: 30.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514 + 47*l**4 - 45*l**4 - 5*l**2 - 512 + 21*l + 2*l**3 to n*l**2 + t*l**3 + u*l**4 + i + d*l and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*v + 55*v - 137*v - 4259 - 2104 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -488 divided by -122?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -335, 2, -1 in descending order.\nAnswer: 2, -1, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (-74 + 6 - -55) - 112?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3509 = -5*m - 5*j, -5*m + 4*j = -5799. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.2 - 1.2. Let z = t + -7. Let h = z + -2.951. What is h 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 jth term of 15220, 30684, 46136, 61570, 76980, 92360?\n\"Answer: -j**3 + 15471*j - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 6*h - 6. Suppose n + 6 = -2*w, -4*n - 4*w = 5 - h. Suppose 5*k = 5*b - 385, -8*b + 310 = -n*b - 3*k. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2 = -0*k - 4*k, -4*b - 4*k - 40 = 0. Let m = b - -10. Suppose c - 3*c + 2*r = -12, -m*c - 5*r + 24 = 0. Solve -n + c = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:47 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.762 - -26.5. Let f = 0.062 + g. What is the biggest value in f, 0, -0.1, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2132585)\/(-86))\/(1\/(-2)). What is f rounded to the nearest one hundred?\nAnswer: -49600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9228304, 9228314, 9228340, 9228388, 9228464, 9228574, 9228724?\n\"Answer: b**3 + 2*b**2 - 3*b + 9228304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, i: 6, p: 1}. Give prob of picking 3 k and 1 i.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13*i**3 + 3*i**2. Let y(b) = -38*b**3 + 8*b**2 + 1. Suppose -2*p + 126 = 120, -p + 15 = -4*q. What is q*y(f) + 8*z(f)?\nAnswer: 10*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590136924.\nAnswer: 2, 3, 13, 3782929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -16*g**2 - 4*g + 11. Let p(z) = -16*z**2 - 6*z + 13. Determine 2*p(h) - 3*w(h).\nAnswer: 16*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 443 + -445. Let x = -16.3 - -17. Put x, j, 2\/5 in decreasing order.\nAnswer: x, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/7 (c) 1\/64 (d) 0.3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {u: 4, n: 3, h: 10, r: 3}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3336 is divided by 786?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14690 and 557110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzw when four letters picked without replacement from zzzzwwwzwzwwz.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-2 - -1) + 3. Let j be (1\/(-1) + -2)\/s. Suppose 5*m - 2 + 22 = 0. Is m greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p, 8*s - 6*s + 3*p = 34. Solve 13 = 3*n + m, 4*n = -n + m + s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -8 - (1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12.42 (b) 4 (c) 2\/63 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**2*n*q**3 + 2*k**2*n*q*v - 32*k*n*q**3*v + 6*k*n*q**2*v + k*n*q**2 + 3*k*q**2 wrt q.\nAnswer: 30*k**2*n - 192*k*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a factor of 48929256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 8*g - 17)*(0 - 3 + 4)*(2 - 6 - 2).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -0.2, 849.9 in decreasing order.\nAnswer: 849.9, -2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*f**3*l**3 + 85241*f**3*l + 664*f**2*l**2 + 5795*l**3 wrt f.\nAnswer: -1326*l**3 + 511446*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 2*h**3 + 0*h**3)*(0*h + 0*h + h + (-1 - 4 - 2)*(28*h + 0*h + 11*h)*(5 + 0 - 3)).\nAnswer: -545*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 9*s**2 - 7*s + 5. Let i(r) = -4*r**3 + 28*r**2 - 21*r + 16. Suppose -2*w - 7*w = 18. Let x(u) = w*i(u) + 7*d(u). Determine x(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*t + 1474*t - 138471 = 235*t for t.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 1360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6750 + 6750 - 4*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132205, -264394, -396583, -528772?\nAnswer: -660961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*j + 579 + 1885 = -698*j for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -55, -77, -91, -97, -95?\n\"Answer: 4*p**2 - 34*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4479 is divided by 441.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -270 + -1 + (-3 - -2). Let r = w - -449\/2. Let v = 4491\/2 - 8891\/4. Find the common denominator of r and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18597\/70 - 1298\/5. Calculate the common denominator of (390\/80)\/((-6477)\/(-34)) and w.\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*b + 3. Let h(r) = r**2 - 7*r - 3. Let n be h(7). Let z(q) = -q**2 - 5*q - 2. What is the lowest common multiple of b and z(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 1, e: 2, t: 1}. What is prob of sequence eet?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 10) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29258*j*v**2*z - 38*j*v**2 - 4*j*v*z - j*v + 3*j*z + 3*v**3*z - 12*v*z - v - 964 wrt v.\nAnswer: 58516*j*z - 76*j + 18*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 686 + -813.8. Let z = v - -126.634. Let p = -0.026 - z. Round p to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43376 + 33927 + 24*y**4 - y + 6*y**4 + 7*y**3 wrt y.\nAnswer: 120*y**3 + 21*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -164, -271?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2250408501 to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1314 - -0.097. Let n = p + 1.0224. Let o = -1 + n. What is o rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 17, 2, 1, -236162 in descending order.\nAnswer: 17, 3, 2, 1, 0, -236162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i + 10*i - 6*i - 24*i. Let g(r) = 5*r + 4. Let t(u) = 6*u + 5. Let o(m) = 5*g(m) - 4*t(m). Calculate o(x(a)).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3083 by 3795.\nAnswer: -3083\/3795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.74 (b) -6 (c) 0.2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17414 (base 14) in base 5?\nAnswer: -3332201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-55)\/22)\/(10\/(-8)). Suppose 229 - 17 = 4*a - 3*j, 0 = -5*a + q*j + 272. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 34*b**5\/5 - b**2\/2 - 8*b - 41. What is the second derivative of p(q) wrt q?\nAnswer: 408*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p - 5. Let h be c(-4). Suppose w = -h + 6. Suppose 2*q - l = 4, 35*l - 34*l = 3*q - 9. Is w at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, -0.2, -2.064421 in decreasing order.\nAnswer: 9, -0.2, -2.064421, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 341*k + 5665 - 12585 - 4674 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 857.989, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23434140 (base 7) to base 6.\nAnswer: -112254413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k - 1. What is the highest common divisor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010000111010 - 10001110?\nAnswer: -10010010011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*g - 0. Suppose 3*w + 38 = g*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 7cd6?\nAnswer: -7cda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*b**4 - 205*b**3 - 14625?\nAnswer: 100*b**3 - 615*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138589 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: Factor x**3 + 3976*x**2 + 31756*x + 47616.\nAnswer: (x + 2)*(x + 6)*(x + 3968)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/1 + 5 + (-141)\/(-3). Solve 35 = 5*n + c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.17, -0.2, -1, 3, -502, -100 in ascending order.\nAnswer: -502, -100, -1, -0.2, 0.17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 122*t**2 - 8*t + 1. Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 + 2. Let v(h) = 2*h - 5. Let x be v(4). Let c be l(x). Let j(b) = b**2 + 11*b + 13. Let y be j(-10). Is y bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 2760*y - 2754*y - 16 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 830950959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 59, -4, 2\/9, -5?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-21) + 5\/(-3) + -124. Let g = f - -161. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3842741\/30 - 128076. Let o = 91\/6 - i. What is the second smallest value in -5, o, -2\/9, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.817 + -2.807. What is the biggest value in -5, c, -0.9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1160\/348*2\/(-4)*1)\/(1405\/35406).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10319 - 10261. Let i(s) = -43*s + 2. What is the remainder when f is divided by i(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((1 - -2 - 1) + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:28 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18545?\nAnswer: 5, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -100059.\nAnswer: -26\/100059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3*s**2 + 3*p**3 - 6197*p**2*s + 8724*s**2 wrt s.\nAnswer: -2*p**3 + 17448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 0*z**3 + 3*z**3)*(-56 + 12 - 9) + z - 3*z**3 - z.\nAnswer: -162*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - 24. Let n = -26 - j. Which is the closest to -5? (a) 0.4 (b) n (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -4*g**3\/3 + g**2 + 26. Let f(s) = -9*s**2 + 4*s. Calculate -2*f(d) + 5*z(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 119, 0, 3, 187.\nAnswer: 0, 3, 10, 119, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and -52299.4878096.\nAnswer: -52299.4278096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 654943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13965 and 190?\nAnswer: 27930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:07 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -59, -2 in increasing order.\nAnswer: -59, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -411 and 17.5?\nAnswer: -7192.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6887\/618 + 7\/309. What is the common denominator of 85\/12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -250875*a**4*b - 2*a*b**3 + 983982*b**3 wrt a?\nAnswer: -1003500*a**3*b - 2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/55 (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (116403\/(-42))\/23*-302?\nAnswer: 151, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.26, 1072\/17, -0.02, 2, -1\/3?\nAnswer: 1072\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 9:58 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 3*n**2 - 2*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3 + 536*h**2 + 10884*h - 37584 = 0.\nAnswer: -108, -29, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 270 - -255525?\nAnswer: 256015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -0.3, 1, 0.0631?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 31497 = -19*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 6949447\nAnswer: 4\/6949447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 44. Let s = b + 24.9844. What is s rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3\/7 (b) -1\/6 (c) -1\/2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - y - y)*(40*y - 98*y + 39*y - 10165 + 20*y)*(3*y - 3*y - 2*y**2) in the form t*y**4 + z*y**3 + w*y + a + c*y**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1830)\/56)\/15 - (2 + (-34)\/8)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1114.007001 + 2\nAnswer: 1116.007001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-30)\/(-80)*(-12)\/(-117). Put 1343, 2, 0.3, u in ascending order.\nAnswer: u, 0.3, 2, 1343","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5401629 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 5, -6, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 9*z**2 + z + 6. Let x be h(4). Put 5, x, -2 in descending order.\nAnswer: 5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -54, 0.13 in descending order.\nAnswer: 0.13, -2\/11, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**21*p*p\/p**(-5\/9))**33 assuming p is positive.\nAnswer: p**(2332\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112.576 + 113. Let x = o + -0.424. Let l = 2 + -3. What is the closest to l in x, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 1\/4, 2\/23, 0.4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmqqcxqmqmmqdxxqq. Give prob of sequence xd.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 14*r**2 - 37*r + 3. Calculate the remainder when z(-3) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 != 1.7372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 9 = -43. Let k(l) = -4*l - 12. Is k(p) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 12*m**2 - 3*m - 22. Let t be j(-11). Let n = t + 113. What is the greatest common divisor of 48 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 30 = -126. List the prime factors of t.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 - 1476415*q - 69402550 = 0.\nAnswer: -47, 295330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108 - (62 + (-16 - (-24 + 34)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 258010 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/4)\/r**(1\/9))**(2\/21) assuming r is positive.\nAnswer: r**(-31\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32769 is divided by 74.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 4*v + 12, -4*w - 16 = 2*v + 3*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/21)*j\/j**(2\/3))\/(j**(13\/3)\/(j*(j\/(j\/j**(-10)))\/j*j)) assuming j is positive.\nAnswer: j**(-275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -138?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7574799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5 - 204*x**4 + 726*x**3 + 269948*x**2 - 271128*x - 540144 = 0.\nAnswer: -31, -1, 2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 1)*(-1 + 1 - q**3)*(-q + 0*q - q) as o*q + h*q**2 + y + m*q**4 + f*q**3 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2704.4 and -0.0527.\nAnswer: -142.52188","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntiq when four letters picked without replacement from {t: 9, n: 1, q: 3, i: 1}.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 70950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-28) + 154058\/24. Let x = 6395 - c. Calculate the common denominator of x and (20\/14)\/(36\/147).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = 6 - 6. Is w less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:39 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 2)\/(4\/2). Let c be 1 + (-9 - 2 - w). Let z(h) = 12*h + 4*h**2 - 4 - 25*h + 19*h. Let u(k) = -k**2 - 2*k + 1. Calculate c*u(a) - 3*z(a).\nAnswer: -2*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4 = -4*y, -7*q + 10*q = 2*y - 12. What is the third derivative of -22*w**3 + 47*w**3 + 23*w**y - w**4 - 39*w**2 wrt w?\nAnswer: -24*w + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.5 (b) -0.3 (c) 3\/38 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21011849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*l - 72 = 106*l. Suppose 5*p = b + 15, b + 2*b - 7 = 2*p. Suppose -5 = -j + b*g, -g - g - 20 = -4*j. Sort 3, l, j in decreasing order.\nAnswer: j, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/3)\/(19\/(-57)). Let d(l) = 23*l - 46*l + m + 22*l. Determine d(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.74 - -16.24. Put -3\/7, 9, q, 1\/4 in increasing order.\nAnswer: -3\/7, 1\/4, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14058 and 41778?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/13 + 152\/57*3321\/(-234).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 52 = s - 0*v, 0 = -3*s - 3*v + 171. What is the highest common factor of s and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/6 - -1)*(-32)\/(-80). Is -8\/23 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.16 (c) -0.3 (d) -5\/4 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whww when four letters picked without replacement from {h: 1, w: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 89ab - 183?\nAnswer: 8828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 5*l - 3. Let s be (14 - 15)\/((-1)\/(-3)). Let t(i) = -7*i**2 - 9*i + 6. Let f(r) = s*t(r) - 5*p(r). Factor f(q).\nAnswer: (q - 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + sqrt(136)*-2 + sqrt(34) - sqrt(2754)*-3)\/((-6*sqrt(6)*-1)\/(sqrt(27)\/(sqrt(9)*-2 + sqrt(9)) + sqrt(3) + sqrt(3))).\nAnswer: 25*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -250*d**2 + 2*d - 7 - 3*d + 254*d**2 + 6*d. Let z be r(-2). Let s = -2 - -2. Sort 4, z, -2, s in descending order.\nAnswer: 4, s, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 36749294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86 times -1.8?\nAnswer: 1.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvuyvyjyjjexjxxjjj. Give prob of sequence xeyy.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of 2*m**4 + 24*m. Let o(l) = 2*l. Determine c(o(f)).\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 85\/2?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**4 - 78*a - 281 wrt a?\nAnswer: -4*a**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 - 2*x - 16*x**3 + 1457 + 7*x**3.\nAnswer: x**3 - 2*x + 1457","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Suppose 2*y + x = -1. Let o be 2\/(-42) - (-2)\/6. What is the second biggest value in -1, o, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.5 (c) -2\/11 (d) 11 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2622954, 5245906, 7868858, 10491810, 13114762?\nAnswer: 15737714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o**2 - 3. Is c(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 65 (c) -2\/15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -172, -142, -112, -82?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n**2 - 3*n + 2. Let j be d(1). Suppose 4*h = j*h - 3*h. Suppose h = -5*r + 4*f + 615, 0*r - 3*r + 2*f + 369 = 0. List the prime factors of r.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) 161302 (c) -0.25 (d) 1 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**4 + 7*z**2 - 3*z + 3. Let j(a) = 4*a**4 - 7*a**2 + 2*a - 2. Let t(i) = 2*g(i) + 3*j(i). Find the third derivative of t(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00319310052 rounded to 6 dps?\nAnswer: 0.003193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -97*x - 150. Is l(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/9 - ((-259)\/(-42))\/(-37). What is the fifth biggest value in 3, -7\/12, 2, y, -0.1?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6 = t, -q + 4*q - 3*t = 0. Suppose -q*k + 455 = 4*k. What are the prime factors of k?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**4\/4 + 23*q**3\/3 - 21*q**2\/2 - 20*q - 28. Let s be f(22). What is the units digit of (7\/2)\/((-3 - s)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 72. Let w be m(-15). What are the prime factors of (4\/w)\/((-9098)\/2274 + 4)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1228*m**5 - 1263*m**5 + 2264*m**5 + 0*m**3 + 0*m**3 + m**5 + (-m - 2*m**2 + m)*(-m + m + m**3) + (2*m**3 + m**3 - 2*m**3)*(2*m**2 - 6*m**2 - m**2).\nAnswer: -233*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 65\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k + k. Let x(a) be the second derivative of -3*a - 1\/60*a**6 + 0*a**2 + 1\/8*a**4 + 0 + k*a**5 + 1\/6*a**3. Let x(h) = 0. What is h?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*a = 24, 2*a = 2*n + a + 10. Is (5\/n)\/(2\/(-474)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + sqrt(475)*-3 + -4 + 2 + sqrt(475) + sqrt(475) + sqrt(475) + 4 + 4)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*y + 5*s + 2, -8 = -2*y - 2*s. Let n be 15\/10 + (-418)\/288. Let m = 1\/16 + n. Which is the second smallest value? (a) y (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 4*j**2 - 4*j. Let d be x(2). Solve 2*o + 1 - 5 = d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 2*w + 0*w + (-3 + 5 - 1)*(-w + 3*w - 3*w) + (-2 + 2 - 1)*(w - 2 + 2) + (0 + 1 + 2)*(1 - 2*w - 1) + 5*w - 2*w - 5*w - 3*w + 5*w - 4*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89405364 + 149034311. Let p = 59628912.0000088 - n. Let j = -35 - p. Round j to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065608 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = -5. Solve 0 = -4*y - 12 - x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*n = -33, 0 = -2*p + 2*n - 3*n + 3. Suppose p*z - 49 = 175. Factor -96*q**2 + 144 - z*q**3 - 24*q**3 - 36*q - 148.\nAnswer: -4*(2*q + 1)**2*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70*1\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.056 + 24.056. Let l = -22.48 + -1.12. Let r = c + l. What is the third biggest value in r, -10, 0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(49) + sqrt(196))\/sqrt(7) - (sqrt(7) - (sqrt(7) - sqrt(14)\/sqrt(2)))*2) + sqrt(567)\/(sqrt(9) - (sqrt(9) - -2*(-1*sqrt(9) - sqrt(9)))))**2.\nAnswer: -21*sqrt(7)\/2 + 487\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 - 146. Let f(k) = -k**3 - 61*k**2 - 172*k + 51. Let j be f(-58). Let n = m + j. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16976 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*c - 91 + 73, 2*c + 8 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4)\/(6\/8). Let a = m - -5. Suppose -c + a*h = 2*h - 18, -5*h = 2*c - 8. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 + -59323604?\nAnswer: -59323239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*j + 292 + 317*j**2 - 308*j**2 - 40 wrt j.\nAnswer: 18*j + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 725, -49, -117, 2 in increasing order.\nAnswer: -117, -49, 2, 725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + (266 - 250).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-147)\/(-441) + 668\/30. Suppose 131072\/5 + 3072\/5*r**2 + w*r**3 + 2\/5*r**4 + 32768\/5*r = 0. What is r?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97525, -97527, -97529, -97531, -97533, -97535?\nAnswer: -97537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 26, 57, 112, 197?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3332333295?\nAnswer: 3, 5, 74051851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 13 + 14)*(-r**2 + r**2 - r**3)*(3 + 0 + 0)*(-359 + 359 - 73*r) to u*r**2 + y*r**3 + l*r + c + w*r**4 and give w.\nAnswer: 3066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 101, 93, 83, 71?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - -1. Let u be d\/(0 - 3) - 1. Let y be 2 - -1 - 12\/u. Solve 2*h + 12 = 2*n, -5 = 4*h - y*n + 24 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -26652650\nAnswer: -26652607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (57\/(-9) + 3)*(-1200)\/(-125). Are g and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.55 - 17.4. What is the closest to 0.1 in -0.2, -0.4, y, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -168, -14178 in decreasing order.\nAnswer: -5, -168, -14178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17436?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 + 1. Let x be u(-1). Let v(s) = -2*s**2 - 15*s + 22. Let j be v(-8). Let c be j - (-6)\/6*1. Calculate the highest common factor of x and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + h - 191 = -23, h = -4. Calculate the lowest common multiple of 3 and t.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -243, 484, 1215, 1950, 2689, 3432, 4179?\n\"Answer: 2*n**2 + 721*n - 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkm. What is prob of picking 1 m and 2 k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/2)*s)**(-29)*(s*s\/s**(-2\/11))\/(s\/s**(-3\/4)))**(1\/19))**(-7) assuming s is positive.\nAnswer: s**(4333\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*m**4 - 4*m**3 + 1751*m wrt m.\nAnswer: 1032*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kks when three letters picked without replacement from {z: 1, k: 6, s: 1, j: 9}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(153) - 2*sqrt(153)) + (sqrt(153) + 1 - (-1 + sqrt(153) - sqrt(153))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -3\/8 (c) 8 (d) -3.1 (e) -4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*u**3 - 85*u**3 - 126*u**3)*(-4*u**2 + 3*u**2 + 3*u**2).\nAnswer: -150*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 - 101*f - 102. Let g(z) = 8*z**2 + 201*z + 203. Let w(u) = 3*g(u) + 5*n(u). Factor w(q).\nAnswer: -(q - 99)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x**3 + 1\/60*x**6 + 0*x**5 - 1\/24*x**4 + 0*x + 4*x**2 + 0. What is the second derivative of q(w) wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1332)\/1665*(-10)\/44?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444.5 + -199514437?\nAnswer: -199512992.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -22 + (-6 - -2)\/(-1). Let k be 20\/(-90) + (-958)\/x. Suppose y + f = 4*f + 31, 2*y - 3*f = k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*r + 6 = 831*r - i - 2*i, -10*r + 3*i = -39 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.1 + -17. Which is the third biggest value? (a) 4\/9 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let m = -568.6 + 568.7. What is the second smallest value in m, 1, 5, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 1, 8, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/25)\/(3\/(-45)). Solve -l*j = -j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -27\/2266?\nAnswer: -27\/2266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**6\/15 + 43*a**4\/12 - 625*a**3\/6 + 220*a. Find the second derivative of y(x) wrt x.\nAnswer: 24*x**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32794, 131221, 295254, 524887, 820114?\n\"Answer: -a**3 + 32809*a**2 + 7*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -6. Suppose 0 = z*d + d - 927. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.229994l in millilitres?\nAnswer: 9229.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btxubtrotttbrxb. What is prob of sequence ot?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101011001 (base 2) to base 5\nAnswer: -2340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 62*s**2 + 218*s + 526. Give n(58).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 18)\/(105\/(-28)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 20. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*y - 193 + 1 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 12*n**2 - 19*n + 17. Is z(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -20972574.\nAnswer: 62917722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -22 + (15 - (-1 + 22)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0115719 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -473, -712?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -18 + -2 + (0 - 1) + (1 - -21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - 101. Let h = d + 480. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 4776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 + 28*h**2 + 139*h - 6. Let d(w) = -4*w**3 - 27*w**2 - 138*w + 5. Let t(c) = -4*d(c) - 3*n(c). Is t(-10) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 783*h + 6. Let p(z) = -427*z - 2. Calculate y(p(s)).\nAnswer: -334341*s - 1560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12945*a**6 + 2071*a**3 - 258734103*a**2 wrt a.\nAnswer: -1553400*a**3 + 12426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -23, -52?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*w = 143, 6 = w - 3*w. Let c = n + 36. What is the derivative of -2 + 6*t - 7 - 10 + c wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = 4*t - 161, -3*o = 3*t - 120. What is the remainder when 733 is divided by t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and -22573.\nAnswer: -22580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 46\/69*3*133. Suppose -3*x + 607 + r = -m, -x = m - 287. Does 17 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*(d*d*d\/(d**(-6)\/d)*d)\/d)**(-33)\/((d*d\/(d\/(d**(11\/5)*d))*d)\/(d**21\/d)) assuming d is positive.\nAnswer: d**(-2071\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*r + 882, i - 5*r = -3*i - 1764. Suppose 0 = 16*n - 26*n - 2510. Let z = n - i. What is z rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.002, 1\/5, 4\/5, 0.4, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smyn when four letters picked without replacement from {y: 1, n: 3, m: 7, s: 3}?\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**5 + 10*f**4 + 8*f**3 - 10*f**2 - 9*f. Let w(k) = 9*k**5 - 29*k**4 - 25*k**3 + 29*k**2 + 27*k. Let i(j) = 11*s(j) + 4*w(j). Factor i(a).\nAnswer: 3*a*(a - 3)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -151. Suppose x = 4*l - 131. Suppose -21 - l = -4*g. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/3 - v**2 - 2*v + 209. Let m(w) = -w**2. Determine g(m(x)).\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*c**3*v**3 - 3*c**3*v**2 + 3*c**3*v + 169*c**3 + 4*v**3 - v wrt v?\nAnswer: 834*c**3*v - 6*c**3 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 149.27 - 149. Is i > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*(-8)\/6. Let x be (-20 - -11) + 0 + 4. Let r = m - x. Solve -f - 4 = -r*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 2*i - 8 = 3*n, n - i - 39410 + 39413 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 - (-34 + 35 + 26 + 7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18376 = 74*r + 109*r + 25330 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 254*n**2 - 5*n + 450. Give s(127).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6060 - 5980 = -10*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*f - 2*j + 16, 70 = 5*f - 5*j. Suppose d - 2 - 7 = p, 3*d - f = -p. List the prime factors of 2\/(-1 + 0)*166\/p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/1*(-4)\/4. Let b(g) = g**2 - 10*g + 28. Let x be b(11). Suppose -h + 5*o - 32 = -95, -i*o = h - x. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Find the second derivative of h + 2*h**3 - d*h + 3*h - 4*h**3 wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*s - 2288 = -6*s - 150*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4630732 (base 9) to base 6\nAnswer: 125331345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = -5*v - 4*b, 25 = -5*b. Solve -v*q = 2*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -57 + (0 - (5 + -3) - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1892814.210004825703 + -0.210024825703. Let w = -1892787 + c. Let x = -27 + w. What is x rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 2*l**5)*(-23 - 2 + 9) + (l + 3 - 3)*(-3*l**4 + l**4 + 3*l**4).\nAnswer: -31*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) -3 (c) -25 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**6\/120 - l**5\/20 + l**4\/24 + l**3\/6 + l**2. Let n be p(3). Suppose 0 = -n*d + 196 - 56. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -4aba1?\nAnswer: 4ab99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2183, -2177, -2171, -2165, -2159?\nAnswer: -2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -y - 1 - 5, 2*i + 22 = -5*y. Let n(k) = k**3 + 4*k**2 + k + 5. What is n(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11935 divided by -2178?\nAnswer: -1085\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318 + 24 + 33)*(-2*f**2 - f**4 + 2*f**2)*(0*f - 4*f + 5*f).\nAnswer: -375*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 11*x**2 - 17*x - 3. Let w be y(7). Suppose -o + 86 = 4*o + 2*s, -s - w = -4*o. What is the least common multiple of 28 and o?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l. Suppose -5*j = -15 + 5. Suppose l = j*t + t - 93. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -48*i + 38. Suppose 4*k + 2*g = 3 - 5, 0 = -3*k - 2*g + 1. What is the units digit of j(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 135\/2. Put -5, 0, w in decreasing order.\nAnswer: w, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 3486, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1092*g - 435 = -1121*g. Solve 5*f = 6*f - 4*y - g, -f - 3 = 2*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-9) + (-14)\/63. Let m be (-4)\/(-8) + h\/2. Factor 9 - 7*q + 4*q**2 + m*q**2 - q - 4*q.\nAnswer: (2*q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 3536*h + 24703.\nAnswer: (h - 3529)*(h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = j. What is the first derivative of 4*l + 1 - j*l + 0*l + l wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1080 divided by -360.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 + 266. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xflp when four letters picked without replacement from lapxoof?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -708, -1437, -2164, -2889, -3612, -4333?\n\"Answer: z**2 - 732*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*b = -2*b - 124, -3*k = -2*b + 68. Let l = k - -40. Calculate the remainder when 4\/l - (-537)\/12 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 140\/9, -160 in decreasing order.\nAnswer: 140\/9, 0.3, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9870)\/(-141))\/((-15)\/6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -108, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -4*w**2 - 1. Let g(u) = u**2 - 54. Let p be g(-8). Let c(i) = 0 - 2*i - 10 + p. What is c(h(k))?\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66221.84 hours to nanoseconds.\nAnswer: 238398624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -600*g - 21800. Determine s(-30).\nAnswer: -3800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5123696972 plus -1?\nAnswer: -5123696973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*r + 26 = 0, 3*s + 5 = 5*r - 0*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**5\/60 - 7*x**4\/24 - 7*x**3\/6 - 7*x**2\/2 - 14*x. Let d(a) be the first derivative of c(a). Calculate d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -0*k - 45. Is ((-2)\/(-3))\/(1\/k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 13. Let n be u(-4). Suppose -o - 7 + 14 = n*h, 4*h = -2*o + 12. Solve o = -3*f - f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + -4 - (-7 + 2)) + 3 - -2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-9 - -5) + (2 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 0 - 13\/6*g**3 - g - 5\/2*g**2. What is the first derivative of i(r) wrt r?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198054738.\nAnswer: 2, 3, 7, 79, 101, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1690*(-2)\/(-360)*(-18)\/78.\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s + 0*s)*(-7 + 3 + 2) - 2*s - 2 + 7 - 3.\nAnswer: -6*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(3\/9))\/(-1). Find the second derivative of 2*d**3 - c*d**3 + d**3 - 3*d**5 - 3*d wrt d.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -20*w**2 - 806*w - 197. What is k(-40)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44046 - -18046. Round q to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*u = 397*u - 196*u + 624. Which is the closest to -1? (a) -1\/9 (b) -2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {o: 6, e: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592*p - 1059181414 = -81993654. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14005 (base 7) to base 13.\nAnswer: -1948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -23*b - 2*b**2 - 33*b + 56*b. Let a(o) = -o**2 - 6*o - 6. Let d be a(-4). Let x(s) = 3*s**d + 2*s**2 + 2*s**2. Calculate x(c(m)).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4102314324 (base 5) to base 6.\nAnswer: -452415044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176282, 352552, 528822, 705092, 881362?\nAnswer: 1057632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 0 + 6*v + 0*v**2 + 1\/4*v**4 + 2\/3*v**3. Suppose 0 = 5*y - 0*y - 15. Let n(i) = -i. Give y*n(b) + x(b).\nAnswer: 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*g**2*h - 36372942*g**2 - 673177*g*h**2 wrt h?\nAnswer: 8*g**2 - 1346354*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63643905 or -63643907?\nAnswer: -63643905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119.4 and -67?\nAnswer: 7999.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40188595147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4002*o. Let q(n) = -39*n - 63. Let a(c) = -30*c - 49. Let s(h) = -9*a(h) + 7*q(h). Determine m(s(v)).\nAnswer: -12006*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3736076 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 30 = w, 2*w + 25 = v - 4*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1210956 to the nearest 10000.\nAnswer: 1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 358 + 188 = 0. Let i = -1272\/7 + p. Is i <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 2, c: 4, z: 1, i: 1, p: 5}. What is prob of picking 1 i and 1 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((8\/8*-3)\/3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 27 = -3*j, 2*j - 4*j + 4 = 4*y. Let w(t) = -t + 4. Let m be w(2). Let v = y - m. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (841\/2523)\/((-3)\/(-63))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -1\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 32. Let g = i + -8. What is the derivative of -g + 4 - 1 + a**2 wrt a?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 1 - 1)*(0 + b + 0) + 2*b**4 + 3*b - 3*b + (-16 + 37 + 9*b**2 - 22)*(-6*b**2 - 10*b**2 - b**2) + 13 - 13 + 14*b**4.\nAnswer: -138*b**4 + 17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9468954 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: -3*(-35)\/126*9696\/(-2020)*18\/(-16)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128714 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*t - 536 + 704. Solve -5*k - 2*k = t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + -2. Which is smaller: c or 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234 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 v = 295\/6 + -49. Which is the third smallest value? (a) -28 (b) 3 (c) v (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*n + 443*n - 48332 = 0 for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -314.\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 6*i = -217 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*s + 7*s - 5823. Let k = 653 + s. Calculate the highest common divisor of k and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*3*(-2)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 5. Let p be (-18)\/15*(-5)\/(-3). Let q be s + 0 + p + 6. Solve 5*l + 2 = 2*b - 4*b, l = q*b + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)\/p)\/(p*p\/(p*p**(-3)*p))*((p**(2\/5)\/p)\/p)**(4\/3)*(p**0*p*p)**(30\/7)\/(p**(-6)\/(p**(-4)\/p)) assuming p is positive.\nAnswer: p**(-164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*b + 4 - 16 = 0, 3*u - 4*b + 2 = 0. Suppose 14 + 0 = 2*i + 5*g, -4 = 2*i - 4*g. Let n(p) = -u*p**2 + p**2 + 2 - i - 1. Determine n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 1512*y**3 - 6164*y**3 + 3*y.\nAnswer: -4652*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 381841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341034004 + -41?\nAnswer: -341034100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - -0.89. Let x be (-80592)\/2920 - (0 - 27). What is the closest to b in 0.1, 3\/5, 2, x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143 + 138. Let r(l) = 3*l - 3. Let t(i) = -2*i + 1. Let d(k) = 3*r(k) + 5*t(k). What is d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -277355706*b**2 - 2*b - 20811789.\nAnswer: -554711412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -61 (c) -1.4 (d) 0.3 (e) 98580\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 - 5, 0 = 2*j - 2*u - 244. Solve 93 = -12*x + j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9*(-27)\/(-6).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 - (-1 + 3) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/60 - g**5\/15 + g**4\/24 - g**3\/6 + 3*g**2. Let t be n(4). Let m = t + -24. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*g**3*s**2 + 349716*g**3*x**2 - g**2*s**2 - g**2*s*x**2 - 971554*s**2*x + 4*s*x**2 wrt g.\nAnswer: 66*s**2 + 2098296*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = -2*v - 2*p, -6 = -5*v + 4*p. Suppose 8*o = v*d + 3*o + 31, 5 = o. Let q = d + 12. What is the highest common divisor of 27 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + 8. Let n be -2 + (-13)\/(-6) + z\/30. Solve 0 = -n*t - 2*o, -6*t = -t - 5*o - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2683 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 28*f - 13 + 30 + 20, 2*a + f = -7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5*z - 10040, 0 = -27*h + 25*h + 4*z + 4022. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -89*o + 990. Calculate x(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 162 + d**2 + 3*d - 102 + 20*d. Calculate the remainder when g(-23) is divided by ((-16)\/(-6))\/(1\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-5 - 4 - -5) + -15.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 8*y**2 + 5*y + 12. Determine c(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000127465631 to seven decimal places.\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.045\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 18}. Give prob of sequence zzz.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4311, -3540, -1457, 2592, 9261, 19204?\n\"Answer: 109*i**3 + 2*i**2 + 2*i - 4424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5862.666l to millilitres.\nAnswer: 5862666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzpzzzxpxzkkkzp. What is prob of sequence px?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 + -87.8. Let x = 60.2 - a. Let w = -54 + x. What is the second biggest value in 0, -2\/11, 3, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by (-17)\/(-3)*-1*-3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = 2*r - 361366, 0 = q - 2. Suppose -143320 - r = -6*x. Suppose -2*j + 5*j - x = 0. What is j rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (0 + sqrt(891))**2) + sqrt(11) + ((sqrt(88)*-2 - sqrt(88))\/sqrt(8))**2 + (sqrt(176)\/(sqrt(8)*1))\/sqrt(2).\nAnswer: -792 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-24)\/w**(-1\/8)*(w*w**(-1\/7))**(-1\/2) assuming w is positive.\nAnswer: w**(-1361\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443003.3ug to milligrams.\nAnswer: 443.0033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.65 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/5*(-10)\/3. Let i be (-22)\/(-5) + m\/(-10). Find the third derivative of 4 - 4 - x**2 + 2*x**i wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243934383?\nAnswer: 3, 7, 11, 79, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x, 3 + 0 = m - 2*x. Suppose -4*g + 5 + m = 0. Let t(c) = -2*c - 3. Calculate the remainder when t(-3) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526123.\nAnswer: 13, 40471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2.6 (b) 82 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = 7*t + 498 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-260)\/15)*(-32)\/3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1211 - 105?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -20a8c?\nAnswer: 20a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35197, 35194, 35189, 35182, 35173, 35162?\nAnswer: 35149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:02 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 11 = -f. Is 23 a factor of f\/(-2) + 1185\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*g**5 - 24*g**4 - 22*g**3 - 8*g**2 - g.\nAnswer: -g*(g + 1)**2*(3*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -10\/1237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -2, -1.\nAnswer: -2, -1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16 and 0.14.\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 2, w: 3, x: 2, c: 2, q: 6}. What is prob of sequence ax?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111292971.3 seconds to weeks.\nAnswer: 184.01615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -0.08, -4\/7, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 8 + -5 + 13 + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -359, 1\/2, -3.84?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25646 or -25648?\nAnswer: -25648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/147)\/((48640\/1800)\/152)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215100076.\nAnswer: 2, 29, 53, 59, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 850064 divided by 106258?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10) + (-4 - 156\/(-45))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11780, -46884, -105314, -187070, -292152?\n\"Answer: -11663*z**2 - 115*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 8) + (47 - 52)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-810)\/(-120) + 14\/(-8). Suppose 3*k + h = -42 + 150, 180 = l*k + h. What is the smallest common multiple of k and 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 260. Suppose 4*y = 4*r + 12, -2*r + s = 3*y + 18. Suppose -38703 = -51*p - 38295. What is the highest common divisor of y and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/5 of a centimeter in millimeters?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 10 - ((0 - 1) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8202557?\nAnswer: 11, 113, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -15*t - 4. Let k be r(0). Let z be 0 + 236\/220 + k\/4. What is the closest to z in -0.1, -0.2, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16990, -1008 in decreasing order.\nAnswer: 5, -1008, -16990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*q - 132, -3*h - 3*q + 139 = 7. Suppose -x + 0*n = 2*n - 11, 2*n - h = -4*x. What is the common denominator of (-1 + 10)\/(x\/(-5)) and 1\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {j: 6, i: 7, v: 6}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4\/9 - 6724*l**3\/3 - 13460*l**2 - 181748*l\/9 - 8976 = 0. Calculate l.\nAnswer: -4, -1, 5049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 10*z**2 + 2*z - 15. Let t be j(10). Let d = -11.4 + 11. What is the closest to -2 in d, 2\/5, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10603883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w**3 - 13*w**2 + w + 4. Calculate d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + 5*l)*(15 - 11 - 8).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5.6059+-7823084\nAnswer: -7823078.3941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/20)\/2 - (-147)\/140. Let o(s) be the first derivative of -8 + 1\/2*s**2 + 13\/6*s**3 - 5\/4*s + 3\/20*s**5 + w*s**4. Factor o(j).\nAnswer: (j + 1)**2*(j + 5)*(3*j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/126 and 109\/333 + (-7)\/(2 + 19).\nAnswer: 4662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4\/3, -3\/7, -2\/3, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4438*x**4 + 1847*x**2 + 31467645 with respect to x.\nAnswer: 17752*x**3 + 3694*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 17. Calculate the remainder when 101 is divided by (r\/(-10))\/(12\/390).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3403 is divided by 267?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z. Let j(l) be the third derivative of -3*l**2 - 2\/3*l**3 + 0*l + 0 + 1\/60*l**5 + 0*l**4. Let n(x) be the first derivative of j(x). Give q(n(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17766168*h**2*k - 22*h*k + k - 60342 wrt h.\nAnswer: 35532336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/3)\/((-1)\/(-33)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*i**2 + 16*i**2 + 69*i**2.\nAnswer: 42*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l + 15*l - 5*l - 10*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*t = 18636 + 30559 + 21993. Calculate the highest common factor of t and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1\/4 (c) -1\/16 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4847 + -3190. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1037543*l*x**2 - 511738*x**2 wrt l.\nAnswer: -1037543*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -468 + 488. Solve -3*d - 1 = 14, 0 = z + 5*d + f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 1005?\nAnswer: -44\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 200*m**2 - 6385*m + 209. Determine x(228).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522, -916, -1350, -1842, -2410, -3072, -3846?\nAnswer: -4750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 22. Suppose f - 75 = -0*q - u*q, 0 = -3*q - f + 110. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -2 - 5) + 5. Let d be (3\/(-2))\/((-1)\/t). Suppose -v = -0*v + k - 80, 0 = -k - d. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 207 - 221 - (2 + -22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -124620*m**3 - 11*m**2 - 2*m - 512637.\nAnswer: -373860*m**2 - 22*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 8*y - 13 = 0, -19 + 54 = u - 4*y. Solve 4*a + u = 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94.3 + 213.3. Which is the smallest value? (a) 0.3 (b) -2\/15 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p - 6. Let k(j) = 3*j - 9. Let g(n) = 5*k(n) - 7*s(n). Calculate g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - -2. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/348 and ((-78)\/(-4) + 2 + -1)\/(-2).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4573*q**2\/4 + 167*q\/2 - 6 = 0. What is q?\nAnswer: -2\/17, 12\/269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 x, and 2 r when four letters picked without replacement from {s: 2, x: 1, p: 3, r: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2825701 divided by -99.\nAnswer: -2825701\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 188 - -2?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/15 - -1)*5. Find the second derivative of 3*r**2 - c*r + r + r wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1156 and 3570.\nAnswer: 121380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 2. Let a be s(-3). Let c be 33\/a + (2 - 0 - 5). What is the common denominator of (8\/c)\/((-24)\/(-747)) and 8\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*s + 467*s + 307*s + 3200 = 0 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5588 = -g - 3464. List the prime factors of g.\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 8*t - 2*t)*(4*t + t - 4*t) + (-8*t + 11 - 11)*(-25 + 25 + 2*t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2870*b**5 + 113828*b**4 + 520524*b**3\/7 + 92528*b**2\/7 + 3818*b\/7 - 156\/7 = 0.\nAnswer: -39, -2\/5, -1\/7, 1\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 27 - 4*i**2 + 24*i - 47*i + 23*i.\nAnswer: -4*i**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 + 0 = 0. Let c = -1055 + 11613\/11. Let f = c + -190\/231. Put f, 4, j in descending order.\nAnswer: 4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2249 or -2244?\nAnswer: -2244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -39. What is the remainder when l is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-173)\/692*738\/450*20.\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-4) - (-45)\/9)\/(11\/10). Which is greater: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19089625 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5 = -2*p, -5*j + 2*p + 13 = 0. Suppose g - 2*u = -j*u + 53, -u + 227 = 4*g. Calculate the greatest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**5 - 38244*d**4 = 0.\nAnswer: -9561, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -8*x. Suppose 0 = -2*w - u - 6, 0 = 3*w + 3*u - x*u + 9. Put w, -1, -4 in ascending order.\nAnswer: -4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 2506461?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 + 206. Let r(w) = w**2 - 11*w - 11. Calculate r(n).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -0.8940852.\nAnswer: 0.62585964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914 is divided by 240.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.047 * 66.9.\nAnswer: 3.1443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*-1*sqrt(7)*5*4)**2 + -3).\nAnswer: 201594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1823213 or -1823189?\nAnswer: -1823189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44\/5 of a millimeter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-26)\/4)*1\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -7*o**3\/6 - 21*o**2\/2 + 8*o - 12. Let t(x) = 3*x + 11. Determine 2*j(z) + 5*t(z).\nAnswer: z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 277922787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1870 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*4.96457.\nAnswer: -89.36226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/44*2)\/(-3))\/(((-25397)\/(-327))\/(-233))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1456142 (base 11) to base 14.\nAnswer: -49005d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29062 is divided by 9132?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 8:05 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*f + 59, -2 - 23 = 5*f. Let i = 56 - t. Let y = i - 16. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 16, m: 4}. Give prob of sequence mccm.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26326150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Let f(w) = 2*w - 1169. Give c(f(y)).\nAnswer: 4*y - 2338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 24. Let h = 53.734935 - 29.734901. Let j = d + h. What is j rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-2)*214\/(-535). Solve k*r + 49 = 55 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3407*t + 3996*t - 24149 = 0 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27902?\nAnswer: 2, 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -m + 34, -3*i = -m - 2*m + 138. Let u = m + 26. What is the remainder when u is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 610 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 16 = d, 0 = -2*d - r + 2 - 7. Let v be (-7 + 7)*d\/(-2). Let m = 1 + -1. Is m < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17086 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 5*k**2 - 2*k - 4. Let u be a(4). Suppose 6*o + 2*i = o + 4071, -5*i - 3270 = -u*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 238, 802, 1730, 3016, 4654, 6638?\n\"Answer: -z**3 + 188*z**2 + 7*z + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552220170 a multiple of 730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5224636?\nAnswer: 2, 1306159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 253*n**2 + 38 - 254*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/46 and 8\/12 - (-314)\/(-120)?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44372 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1452)\/216 + 7)*(-36)\/(-60). Let s = 1.6 + -8.6. Which is the nearest to s? (a) -0.3 (b) -2\/25 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286664 is divided by 416?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -265506, -1060273, -2384884, -4239339, -6623638?\n\"Answer: -264922*l**2 - l - 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 - 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = -9. Suppose -4*a - 104 = -m*a. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10499 = -138*c - 8868 + 3337 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 + 73. Let l(a) = -a**2 + 146*a - 813. Calculate the lowest common multiple of m and l(6).\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 503 = 305 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7137 and 562383?\nAnswer: 445969719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141960 and 1248?\nAnswer: 567840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 324\/157?\nAnswer: 324\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -44. Let d(z) = 2*z**2 - 16*z + 46. Let g be d(y). Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q. Let l(t) = -17*t. Let h(p) = 6*l(p) - 26*u(p). Let x(o) = o**2 + 7*o + 2. Let d be x(-7). Let f(w) = w**2 + 0*w**2 - 3*w**d. Determine h(f(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/14 in -2, -190, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-6 - -4) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -73441*r**4\/9 + 101896*r**3\/9 + 213434*r**2\/9 - 19176*r - 23409 = 0. What is r?\nAnswer: -1, 459\/271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 436147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*g*t*v**2 - 2*g*t*v - 4*g*t + 2*g*v - 7*t*v**2 - 2*t*v - t + 12*v**2 wrt v?\nAnswer: 74*g*t - 14*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -70, -132, -192, -250, -306?\n\"Answer: f**2 - 65*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22660918589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1822, -1926, -2098, -2338, -2646, -3022, -3466?\n\"Answer: -34*u**2 - 2*u - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11069 - -26415. List the prime factors of v.\nAnswer: 2, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 12, h: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -781?\nAnswer: 6\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5005 + -5003. Calculate the smallest common multiple of l and 2652.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7416265133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33334184755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 - 0.1. Let v = 0.52 - q. Sort v, -3, -2 in ascending order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (219\/(-30) + 7)*(6 + -1). Let n = -0.08 + 3.08. Let w = 3.1 - n. What is the nearest to -0.1 in 3\/2, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5999 + 23?\nAnswer: 5a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 349 - 346. Let f = -1.46 - 41.54. Which is the third smallest value? (a) t (b) 5 (c) f (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = 30. Let a = 10 - f. Solve 2*o + 5*k - 35 = 0, -4*o + 3*k + 4 + 1 = a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219 divided by 7609.\nAnswer: 219\/7609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-29)\/3045)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 5:29 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a + 36 = 0. What is the greatest common factor of 45 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 4*c - 1. Let p(r) = -2*r**3 + 11*r**2 + 9*r - 13. Let u be p(6). Calculate z(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(720)*-1)**2 + sqrt(720).\nAnswer: 12*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -3. Let w be (20\/(-12) - -2)\/((-1)\/(-30)). Suppose -w*v = 30 + 10. Sort v, 5, s in decreasing order.\nAnswer: s, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 2185852118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 3, -9 in descending order.\nAnswer: 3, -5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(96)\/sqrt(3)) - (sqrt(931)*-2 + -1) - 3*3*sqrt(475)*-2*-5)**2.\nAnswer: -1743*sqrt(19)\/2 + 57722947\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 5*t + 18900 = 0. Let o = -7810 - t. Round o to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -3*z. Suppose -z + 1 = 7*r. Let y(j) = j. Let b(i) = 1 - 8*i + 1 - 1. Calculate r*b(p) - 6*y(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824*n + 81 = 24*u + 819*n, -5*u + 5*n = -100 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 0) + -1 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 3*u = -81 - 491 for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(17) + -5 + 2*sqrt(17) - -1*sqrt(17)*4) + -2*(4 + sqrt(17))**2*4).\nAnswer: -269 - 57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 21*s - 10. Let o be f(-10). What is the third derivative of -18*u**5 + 1 - 21*u**2 - 1 + o wrt u?\nAnswer: -1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303233 - 1?\nAnswer: 303232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*z - 9429*i**3 + 2*i*z - 185236*z wrt i?\nAnswer: 6*i**2*z - 28287*i**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40704416 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(sqrt(117)\/sqrt(9))**2*-4.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(304)*-1 + 2)*-6.\nAnswer: -12 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h**2 + 8*h**2 + 100 - 184*h**3 - 100 in the form c*h**3 + l*h + q*h**2 + d and give c.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6381504 litres?\nAnswer: 638.1504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 13 = h, 2*h - 2 = -4. Let c be (-48 - -3)\/j - 2. Suppose -20 = -2*y - 2*z, -4*y + 5*z - 2 = 3. Solve -y*k - c = 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:24 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -5 - -6) + ((-840)\/66)\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 0 + 19\/6*d**3 - 37\/2*d**2 + 2*d - 1\/12*d**4. Calculate the remainder when 68 is divided by u(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -10. Let d be (a\/8)\/((-5)\/(-20)). Suppose 0 = c - d*c - r + 80, -4*c + 5*r = -56. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2538 - 214.509281.\nAnswer: -2752.509281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/21)\/((-12)\/210*-7)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**2. Let u(d) = 8*d**2. Let i(k) = 9*n(k) + 4*u(k). Let g(c) be the third derivative of -c**5\/30 + 4*c**2. What is i(g(s))?\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21102212 (base 3) in base 4?\nAnswer: -1110233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.4, -4, 3, -1\/132 in ascending order.\nAnswer: -7, -4, -0.4, -1\/132, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-456)\/(-18)*54\/(-4). Which is smaller: y or -343?\nAnswer: -343","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/11)*n\/((n*n\/n**(-1\/3)*n)\/n)*(n\/n**(2\/7)*n*n)**(-1\/59) assuming n is positive.\nAnswer: n**(-21277\/13629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.41 times 0.11365648\nAnswer: 0.0465991568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7976638?\nAnswer: 2, 17, 283, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1104 (base 12) to base 11.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 305830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6*a = 0. Let m(g) = g**2 + g - 6. Give m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31875612 is divided by 152.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36c6 + 0?\nAnswer: -36c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*j + 2*j. Solve j = 4*s + 5*g, g - 11 = -s + 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 22, 62, 132, 244, 410, 642?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240507 is divided by 148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 210446361?\nAnswer: -210446356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 1806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103544 by -43.\nAnswer: -2408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -27?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/56 and -41\/20.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (6 + 0 - 8 - 2) + 1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78928.92 meters in micrometers?\nAnswer: 78928920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4139 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.047 + -23.047. Let y = j - -23. Let l = -0.7 - 0.3. Which is the nearest to 0? (a) l (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4179 - 1270417\/304. Is -1 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 31205523?\nAnswer: -31205502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-5) - 0) + (-1089)\/(-165). Suppose 6*i = i + 245. Suppose -t - i = -5*x. What is the highest common divisor of 33 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3\/4*t**4 - 15\/2*t**2 + 0*t**3 - 9 + 0*t. Find the second derivative of h(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(833)*-1 + 2*(sqrt(833) + -2).\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/5 + 338*n**4\/5 - 3516*n**3\/5 + 6256*n**2\/5 + 10112*n\/5 = 0. What is n?\nAnswer: -1, 0, 4, 8, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 52 = 42*w. Let c(b) = 9*b - 2 - 35 - b**2 + 35 + w*b**2. Calculate c(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 133*o**5\/5 - 3*o**4 - o**2\/2 + 2*o - 15. What is the third derivative of s(b) wrt b?\nAnswer: 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.9, -1\/3, 5, 3\/7?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + 1*sqrt(49)*-4)\/sqrt(7))**2 - (-1 + sqrt(175) + sqrt(343)*1)**2.\nAnswer: -946 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3574 = -1204. Suppose 0 = -5*a - z + h, 0 = -2*a + 4*z - 95 + 253. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -3\/10 (c) -5 (d) -4 (e) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377 = -71*y - 1300 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-74)\/(-14) + (-6)\/21. Suppose 0 = o*j + 2*b - 278, 6*j - 3*b - 283 = j. Suppose 3*a - 5*s - j = 0, -3*s + 12 = 3*a - a. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5672 and 103248834?\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303.79681 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zss when three letters picked without replacement from {z: 7, d: 2, s: 5}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 2246788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + 0 + (-2 + (-10 + 1 - 3) - -23)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1716*z**2 - z + 270?\nAnswer: -3432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(7\/(168\/(-132))).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90003992.\nAnswer: 2, 13, 66571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.1 - 17.1. Let p = r + -74.24. Let c = p - 0.76172. What is c rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205306 or -205303?\nAnswer: -205306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, 61, 173, 305, 463, 653, 881?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - u**2 + u - 40. What is i(0)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p\/(p*p*((p\/((p\/p**7)\/p*p)*p*p)\/p)\/p*p))\/p)**(-1\/70))**35)**(-48) assuming p is positive.\nAnswer: p**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10721247 divided by -8?\nAnswer: 10721247\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2. Let a(q) = q**2 + 5*q + 2. Let l be a(-5). Let y(z) = l*z - 2*z - z + 3*z. Give h(y(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 15*s - 11 = 0. Suppose s*b - 1 = -23. Sort 28, 4, b in decreasing order.\nAnswer: 28, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 22*b + 11*b - 4*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 15 = -15. Let y(n) = -17 - 10*n + 14 + 0*n**2 + n**2 + 11. Let v be y(k). Solve 4*t = -0 - v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus -27390?\nAnswer: -27405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010001011110 (base 2) in base 11?\nAnswer: 18339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500) - 1*(sqrt(1500) - ((sqrt(1500)*-1 - sqrt(1500)) + sqrt(1500)))) + sqrt(1500))\/(sqrt(40)\/sqrt(32)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 710353661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 49.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/10)\/((-2)\/(-8)). Let t be (-2479999)\/r - (-2)\/(-4). What is t rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119143?\nAnswer: 283, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 2)*(-t + 3 - 3)*(-3*t**3 + 0*t**3 + 2*t**3).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 8*g - 95. Suppose 8*x - 4*x = -g. Let p = -4 + 3.99. Which is the closest to x? (a) p (b) -2\/17 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 471 - 340. Let u be m - 6\/(-12)*2. What is u rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 11:54 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 712?\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183*l**2 + 413 - 1515 + 115*l**2 wrt l?\nAnswer: 596*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 d when three letters picked without replacement from {l: 9, v: 4, d: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from grrryryrrgyy?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5536775401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4510520 (base 6) to base 14\nAnswer: -5ca1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4970*x**5 + 5*x**2 - 6*x + 11 wrt x?\nAnswer: 298200*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -2\/11 (c) -3\/8 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:38 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d - 3 = -y - 11*d - 0, y - 45 = 20*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54378 divided by 1?\nAnswer: -54378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2709?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kz when two letters picked without replacement from zkqwwzw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 5*o**2 + 3*o - 7. Let q be k(5). Let v be (-55)\/(-4) + 2\/q. Let r = -21 - -77. What is the highest common divisor of r and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/7, -5\/3, 26.88, 0.72 in descending order.\nAnswer: 26.88, 0.72, -0.1, -1\/7, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -490?\nAnswer: -490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 53, 87, 125, 167, 213, 263?\n\"Answer: 2*v**2 + 24*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.53626 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -225088*g*s**6 + 258*g*s**3 + 4*g*s**2 + 2*g*s + 4*g - 2748*s**2 + 17 wrt s.\nAnswer: -27010560*g*s**3 + 1548*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let a(w) = 112*w - 2. Determine a(v(i)).\nAnswer: 112*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-21)\/(-196)*10\/3\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059166399 rounded to six dps?\nAnswer: 0.000592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/155 and -17\/70153?\nAnswer: 350765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/25 + 10\/12 + (-97)\/165?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -721 divided by -55\nAnswer: 721\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -10*s**2 - 94*s - 1913. Let k(v) = 3*v**2 + 25*v + 478. Determine 4*d(m) + 15*k(m).\nAnswer: 5*m**2 - m - 482","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -3*x**2\/2 + 214. Let n(a) = -3*a**2 - a. What is n(h(w))?\nAnswer: -27*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 385, 767, 1149, 1531, 1913, 2295?\n\"Answer: 382*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 3*h + 5. Let l be y(-4). Let c = l + -3. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2789093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*p, 4*j = 4*p - 0*j - 28. Solve 0 = 4*v - p*w - 0*w + 4, 0 = 2*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -200 and -205 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -5 in decreasing order.\nAnswer: 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1044597625 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 282 - 87. Let g = i - 194.302. Let j = g + -0.7. Round j to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - y**2 - 1. Suppose -3*g + 5*k = -0*g - 29, 12 = -3*k. Let n(o) = -g*o**2 + o**2 + o**2. What is -n(a) + z(a)?\nAnswer: 2*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 237575 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3 - 3 - 2*n + n + 3*n + (399 - 83 + 323)*(-6*n + 4*n + 0*n))*(3*n**2 - 3*n**2 + 2*n**2 + (0*n + 0*n - n)*(4 - 4 + n)).\nAnswer: -1277*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * -0.5.\nAnswer: 20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 720.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 o, and 1 f when four letters picked without replacement from {f: 8, t: 6, j: 2, o: 2, n: 1, m: 1}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3\/4, -24, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1849b?\nAnswer: -184a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2100329 litres in millilitres?\nAnswer: 210.0329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000023177 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**3 - 720*t**2 - 2*t - 18496 wrt t?\nAnswer: -6*t**2 - 1440*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 1\/6*t**3 - t - 1\/2*t**2 - 1\/48*t**4 - 2. Let y(c) be the first derivative of v(c). Factor y(f).\nAnswer: -(f - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8785282 (base 10) in base 2?\nAnswer: -100001100000110110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 + 8*v**3 - 13*v**3 - 2*v**3.\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305675 is divided by 1194.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z = -37*z + 208. Calculate the remainder when 1454 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 69 (b) 18 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2934 + -2931. Solve 0*z + 5*j + 12 = -f*z, 3*z = -4*j - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4232\/7 + 599. Let z be (40\/6)\/((-3)\/18). Find the common denominator of (-6)\/z*96\/6 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 2*w + 4*w - w**2 + 3*w + 3 to the form o*w**3 + s + u*w**2 + q*w and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(162) + -2*sqrt(162) - sqrt(162)).\nAnswer: -18*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-559*b**2 - 590*b**2 + 1279*b**2)*(-4 + 6*b**3 + 4).\nAnswer: 780*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/((-3)\/(-24)). Let l = -513 - -506. Let t be 8 + 28\/l - 4. Solve t = 3*f - 5*u + x, -5*f + 2*u = -0*u + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((6\/(-152))\/(-32*(-111)\/2368))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*h*r**3 + 113784*h*r**2 - 2*r**3 - 4*r**2 + 46880*r wrt h?\nAnswer: 48*r**3 + 113784*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.0758 + 0.0242. Let t = i - 39.3. What is the smallest value in -1\/3, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 7*f**2 + 3*f + 7. Let d be w(-3). Suppose 0 = -3*z + 2*b + 62, -3*b - 82 = -d*z + 3*z. Sort z, -2, 4.\nAnswer: -2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5 + 32*j**4 + 227*j.\nAnswer: 20*j**3 + 384*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((-172)\/32 - 3 - (-69)\/184)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 11:33 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12638, -1, -16 in descending order.\nAnswer: -1, -5, -16, -12638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4636 + -5320. Which is smaller: -682 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 2 - -10 - (-2 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*y + 175930 = -5201*y - 17998 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 476 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 + 1. Let o = -3240.9 - -3241. What is the second biggest value in -2, -0.9, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 3*a + 6143, 2*a - 3054 = -2*w. Round w to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5736, 4269, 2812, 1365, -72, -1499, -2916?\n\"Answer: 5*t**2 - 1482*t + 7213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -25*b - 78. Let c be (-8)\/(-3)*(2 + -5). What is the smallest common multiple of 2 and p(c)?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1704 - -1719. Calculate the remainder when k is divided by (18\/(-8))\/((-66)\/352).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68, 66, 54, 26, -24, -102, -214?\n\"Answer: -w**3 + w**2 + 2*w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19\/3, 0.4, -5, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 3\/5, -0.1, -1\/964.\nAnswer: -0.1, -1\/964, 2\/15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1010100?\nAnswer: 1010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.91 - -0.09. Let s = j - 6. Let o(p) = p**3 + 15*p**2 + 13*p - 18. Let u be o(-14). Which is the third biggest value? (a) -5 (b) u (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 65 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 150, 264, 412, 588, 786, 1000?\nAnswer: 1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.572 - 3316.\nAnswer: -3316.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*h + 161 + 127 = -114*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781 + 1130 = 39*n for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/39)\/(1164\/(-2522)))\/((-6)\/(-720)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (5 - 9) - 4 - -72\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16199 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*n + 35. Suppose n*r = -0 + 14. Solve -r*g - 1 - 3 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3020123 - 11?\nAnswer: 3020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2244 take away -1.80608?\nAnswer: -2242.19392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*c + 27 = 4, 5*p - 19 = c. Suppose 0 = p*x + x - 188. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 73, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, 9, -238?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -182163*r*t**4 + 71*r*t**3 - 212646696*r with respect to t.\nAnswer: -728652*r*t**3 + 213*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 55.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:18 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150963, -147723, -144483?\nAnswer: -141243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-74)\/14 + 14\/49 + 27 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1899 and -139?\nAnswer: -263961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 131168 times 0.1?\nAnswer: 13116.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 36\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muijppf. What is prob of picking 1 j and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19, 66, 115, 166, 219, 274, 331?\n\"Answer: c**2 + 44*c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 393 + -392.9. What is the second biggest value in t, -3, -5, 162?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 4. Calculate the smallest common multiple of 2\/4 - (-15)\/10 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -30, -60, -102, -156?\n\"Answer: -6*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Suppose 3*o - 5 = -i - z*o, -4*o + 46 = 5*i. Let b = 12 - i. Solve -b*n - 2*n = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300)*1 + 4)) + sqrt(300)*2 + sqrt(300) + 0 - ((sqrt(300) - (0 + (sqrt(300)*2 - sqrt(300)))) + sqrt(300) + -3))**2 + -2.\nAnswer: -40*sqrt(3) + 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 76. Suppose v*g + 36 = 3*g + 5*w, 2*g = 2*w - 56. Is -25 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (27 - (-2 - -2)). Suppose 0 = p + 2*u + 2*u - i, -p + 26 = 2*u. Suppose p = -13*r - 24. Is r not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -39\/8, -606, -4, 86?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30521 - -267?\nAnswer: 31010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (99\/10*-6)\/(32\/((-1920)\/6)) is divided by 168.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 - 309 = -6*p. Suppose -14*c = -3515 + p. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56130476 divided by -5\nAnswer: -56130476\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -39873354.19 to the nearest 10000.\nAnswer: -39870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 190, 1217, 2930, 5329, 8414, 12185, 16642?\n\"Answer: 343*g**2 - 2*g - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 7\/17, -5, 3, -1, -5\/14, 0.36, -4?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 4*j**2 + 0*j + 16\/3*j**3 - 8\/3*j**4 - 11\/120*j**6 + 1\/210*j**7 + 0 + 7\/10*j**5. Find z, given that v(z) = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3675 and 15145410?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 84*h + 157 = -41 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p + 5*b + 420 = 0, -5*b = -2*p + 168. Calculate the remainder when p is divided by 12\/(-42) + ((-317)\/(-7) - 2).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28953 is divided by 7233?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27969397 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -150, 4, 11, 2 in ascending order.\nAnswer: -150, -4, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/50*(-70)\/(-49). Solve -2*j + 4*f - n = 0, -5*f - 8 = 4*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (864\/90)\/((-2068)\/110 + 20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 286, 315, 344?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -426711 or -4693817\/11?\nAnswer: -426711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -2*w**3\/51 - 165*w**2 + 5612*w\/17 + 3052. Find s such that v(s) = 0.\nAnswer: -2806, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 2. Let r be h(-2). Suppose -6 - 63 = 577*l - 646*l. Solve r*w = w - l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 517 + 433 - n - 5*n**3 + 145 + 292*n**3 + 3*n wrt n.\nAnswer: 861*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**3 - 3*h + 1. Let f(t) be the second derivative of -t**3\/6 - 3*t. Let n be 0\/(-1*2) + -4. Let v(g) = n*f(g) + a(g). Calculate v(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 3) in base 14?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 530 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.0098.\nAnswer: -0.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 60, 58, 56, 54?\n\"Answer: -2*c + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90\/(4 + -1) + 0?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -43)*(-1)\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2.3, -8, 5, -38886?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -560.51 - 3.49. Let y = i + -76. Let h = -640.00357 - y. What is h rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**2 - 24. Let z = -31 - -27. What is the smallest common multiple of 5 and w(z)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b0 (base 16) in base 6?\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 7\/60*a**5 + 0*a**3 + 3\/8*a**4 + 0*a - a**2 + 0. Find the second derivative of h(l) wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -451 - 700*c**4 + 1003 - 465*c**3 - 245*c**5 - 90*c**2 - 552.\nAnswer: -5*c**2*(c + 2)*(7*c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s + 9. Let c(h) be the first derivative of h**2\/2 - 8*h + 251. Give 6*c(j) + 5*q(j).\nAnswer: -4*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b - 10*b**3 + 15*b.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 3*i - 6, -2*i + 788 = -r + 779. Put -3, 2, r, -52 in increasing order.\nAnswer: -52, -3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -420 - -116310?\nAnswer: 115560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-170)\/12 + (-25)\/(-6) + -4. Let r be (-2)\/(1 + 1) + 34 + n. Is r\/(-3 + (-16)\/(-5)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 41 - 5*s + 5*s + s.\nAnswer: -s - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885176?\nAnswer: 2, 110647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 divide 23315896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 - -256.000000238. What is q rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or -0.13?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -41, 5, 2\/27, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 8*z**2 + 5*z - 9. Let f be v(-7). Suppose 15 = 4*k - 9*k, -f*w - 4*k = -3. Suppose w*b - 7*b = -60. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3172\/215 + -74\/5. Is 1 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-144)\/(-30) - 2\/(-10). Suppose q*l = -4*l + 22455. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 26 + 14*t - 29 - 4*t + 3*t - t + (3 + 2 - 3)*(0*t - 4*t + 2*t) - 4*t - 2*t + 5*t + 2*t + 0*t - t.\nAnswer: 11*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 123263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*d - 2, 8*w + 4 = 10*w + 5*d. Which is the nearest to -1\/4? (a) w (b) -3 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v**2 + 3*v + 15. Let r(f) = -5*f + 42. Let b be r(9). What is the hundreds digit of n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43037950 to the nearest 100000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432484 (base 9) to base 14.\nAnswer: 69cdb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3011 - -52?\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, -0.4, 0.3, 1.208?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110111011000001011001 (base 2) in base 9?\nAnswer: 16224387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76\/5 of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1248 and 25166752.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2890 - -2892. Solve 2*m - 12 = -3*z, 6*z - 4*m + 4 = d*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose 0*o - 5*o - 115 = w. Let h = -13 - o. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(10)\/sqrt(2)*5))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:14 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32857 by 32857.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 - 3*i + 2. Let o be q(-3). Let d = 25 - o. Suppose -151 + d = -5*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((3*sqrt(306))\/(sqrt(242)*2))**2 + -1 + -5 + -1)*-4.\nAnswer: 75\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihrkgkikgiiii. Give prob of picking 1 k, 1 r, and 1 i.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125*u = -3386 + 5511 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -789*i = -773*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5d6d (base 16) to base 10.\nAnswer: -679277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r**2 - 10*r + 13. Let q(g) = -3*g**2 - 3*g + 4. Let x(i) = 7*q(i) - 2*w(i). Give x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 6*d**2 + 5. Let i(f) = -5*f**2 - 4. Calculate -6*i(m) - 5*z(m).\nAnswer: 5*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/9)\/(1\/11). Let y = 19\/9 - a. Let m = 6.761 - 0.761. Put y, m, -5 in ascending order.\nAnswer: -5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 6*f**2 + 11*f + 5. Give z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 - 64*f - 1040 = 0. Calculate f.\nAnswer: -10, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.5, -2\/11, 0 in ascending order.\nAnswer: -4, -0.5, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g + 5*r = 20, -3*r = 12. Let k(m) = m**3 - 9*m**2 - 9*m - 7. Let n be k(g). Which is the nearest to 2? (a) 0.2 (b) n (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(450) - sqrt(450)*2))\/(-3*1*(sqrt(640) + sqrt(640) + (sqrt(640) - (1*sqrt(640) - sqrt(640) - sqrt(640) - sqrt(640))))).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/38 + (-397736)\/33117 + (-24)\/(-2).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-36))\/(-2)*153\/(-34)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -24 (c) -1.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = 3*k + 2*k, -4*q + 4 = k. Suppose k = 4*r - 42 - 70. Suppose -35 = -3*z + r. Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0*z - 10\/3*z**3 + 8*z**2 + 0 + 43\/6*z**4. Let u be q(-4). What is u rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 78. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816, 3332, 7520, 13374, 20888?\nAnswer: 30056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((48\/(-28)*(-59)\/(-236))\/(3\/(-7)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**3 - 11*q**3 + 18*q**3 - 9*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, l: 9, v: 8}. Give prob of sequence tv.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -242164*j + 8475733. Calculate f(35).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -501710 to the nearest 10000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, o: 2}. What is prob of sequence kkk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -2. Let r be u\/(-11) + 5608384\/(-792). Let h = -7073 - r. Find the common denominator of -12\/11 and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -77*a**5 + 27*a**4 + 50*a**3 + 7*a**2 - 14*a. Let c(i) = 39*i**5 - 14*i**4 - 25*i**3 - 4*i**2 + 8*i. Let p(q) = 7*c(q) + 4*l(q). Factor p(r).\nAnswer: -5*r**3*(r - 1)*(7*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101501 + 1?\nAnswer: 101502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m**2 - 36*m - 3. What is the units digit of n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 437 = -2*l, 0 = 4*i - 3*l - 2*l + 1736. Let w be (i\/(-420))\/(-11) + 3\/15. Let m be 0 + 0 + 3 - 3. Is w at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 21.00128. Round f to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -37426, 5\/4, -2\/7, -4 in ascending order.\nAnswer: -37426, -4, -2\/7, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -305, -0.4, -6\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + p + 5. Let l be d(0). Suppose -l*f - 4 = -3*v + 28, 4*f + 36 = 5*v. Suppose -2*s = s - 4*j + 13, -43 = 5*s + v*j. Are -8 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.94 + -15. Let t = g - -0.56. Let i be -3 - ((-12)\/2)\/3. Which is the closest to 0? (a) t (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-7 + (8 - (1215\/(-153) - -9))).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -54 - 306a9a?\nAnswer: -307043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a gram in milligrams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 3*l**2 - l - 5. Let u be j(-6). Suppose -u = 4*o - 537. Suppose -d + o = -0*r + 5*r, -2*r = -5*d - 32. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5253dd (base 14) in base 13?\nAnswer: 764752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 663872 to the power of 1\/2, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12340 and 297.7.\nAnswer: -12042.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 213, 173, 117, 45?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 593 in 12, -0.1, 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a - 16 = -4*l, 3*l = -a + 4. Suppose -l*x - 61 = 45. Let v = -16 - x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 7*a**2. Let j(z) = -5*z**3 + 29*z**2. Calculate -2*j(b) - 9*p(b).\nAnswer: b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*y + 9443 = -145*y + 5*g, -4*y + 37872 = -5*g. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1749)\/(-22)*4\/6*1. Let s = 74 - t. Calculate the remainder when 60 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21343 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37178958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 789128, 1578259, 2367374, 3156467, 3945532?\nAnswer: 4734563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11739?\nAnswer: 3, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/23, 0.8, 0, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 607978626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 + 646. List the prime factors of h.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*x)*(-x**2 + 2*x**2 - 3*x**2) - 7*x**3 + 5*x**2 - 5*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2 + 2 - 3 + k. Let x = 15 - 8. Suppose -2*m + x*m = 10. Calculate s(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**6\/6 - 8*c**5\/15 - 7*c**4\/12 - 2*c**3\/9 - 478. Factor t(p).\nAnswer: -p**2*(p + 1)**2*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8342733092.\nAnswer: 2, 9851, 211723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 (base 11) in base 4?\nAnswer: 133132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*u**3*x - 4*u**3 - u**2 + 2*x - 67 wrt u?\nAnswer: 147*u**2*x - 12*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 26008598?\nAnswer: 468154764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1310 - 1309.5. Which is the third biggest value? (a) t (b) 4\/5 (c) -50 (d) 19 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 2 + (4 - 25).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -438, -906, -1374?\n\"Answer: -468*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/24*-6*(1 + 0). Suppose -2*r - s + 6*s = -4, 3*r - w*s - 17 = 0. What is the highest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4163\/49956)\/((-19)\/20 + 1)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 66, -0.1, -1, -1\/3?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -161*t**3 + t**2 + 2*t + 1. Suppose -7 = 4*r - 9*z + 10*z, -5*r - 2*z = 11. What is the hundreds digit of s(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**7\/504 + z**6\/8 - 17*z**5\/24 + 49*z**4\/4 + 109*z. Let q(v) be the third derivative of h(v). Factor q(o).\nAnswer: -5*(o - 17)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -19751.\nAnswer: 3\/19751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -1825, 1 in descending order.\nAnswer: 1, 0, -2, -1825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4757 (base 10) to base 16.\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 21. Solve -i + 3*r = -6*i + 17, 21 = i + s*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/351*494)\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -7. Let w = -1.05 - x. Let f = w - 0.25. Which is the biggest value? (a) 0 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 2\/105*v**5 - 8\/735*v**7 + 0 + 4\/21*v**3 + 5\/42*v**4 + 0*v - 1\/588*v**8 + 21*v**2 - 2\/105*v**6. Let p(z) = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k. Let l(a) = 12491*a - 12491*a - 290*a**2. What is l(w(p))?\nAnswer: -290*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -7 (c) -8 (d) 4.7 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and 13?\nAnswer: -24.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167 + 85. Let k(g) = -17*g + 1. Let n be k(5). Let p = z - n. Calculate the smallest common multiple of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.207 + -87.21.\nAnswer: -87.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -46*j**2 - 1. Let w(v) = v**2 - 6. Let a(o) = -1. Let i(r) = -6*a(r) + w(r). What is t(i(d))?\nAnswer: -46*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doddodvr. What is prob of picking 1 o, 1 d, 1 r, and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3038 and 294.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96921625.\nAnswer: 5, 29, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 553 + -822. Let s = -17 - o. List the prime factors of s.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, and 1 k when three letters picked without replacement from ukfuqufhqkkvuh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 61?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -538*o + 138*o + 1127 + 873 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p - 1\/24*p**4 + 17\/60*p**5 + 66*p**2 + 0 + 13\/2*p**3. What is the second derivative of c(d) wrt d?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1329*z**2 - 1309*z - 1664554.\nAnswer: -2658*z - 1309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thmsmsuhmmummmmsuz. Give prob of picking 1 u, 1 z, and 2 s.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1744 divide 70546544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**5\/5 + t**4\/2 + t**3\/3 - 2. Find b, given that o(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + h + 1. Let n(o) = -5*o**2 - 3*o + 5. Give n(k) + 2*t(k).\nAnswer: -3*k**2 - k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 12:27 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52c05 - -ba4?\nAnswer: -52031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1264327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2362*w - 22*w + 401*w - 2492*w = 179000 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 7 + 33 + 3*t. What is the tens digit of j(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*(-3)\/(-51). Let i = o - -15\/68. Is -0.1 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12668, -50595, -113858, -202451, -316368, -455603?\n\"Answer: m**3 - 12674*m**2 + 88*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**2 + 2*s. Let c(j) = 2*j - 8 + 6 - 12. What is the remainder when l(-2) is divided by c(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/15)\/(480\/168*1\/(-24)*28)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 1, -3.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(1\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -51.2. Let n = 12 + -21. Let f = n + 4. Sort f, g, -2 in decreasing order.\nAnswer: g, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4442?\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.069 - -1.069. Which is the closest to -0.1? (a) 0.4 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = 5*z - p, 0 = -3*z - 2*p + 15. Solve -s + z*w + 9 = 0, 0*s + w + 19 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -74. Let h = x - -6. Let v(l) = -l - 17. Let r be v(-20). Calculate the greatest common factor of h and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 54. Let d = -14 + 21. Suppose -3*y = -4*l - 46, 3*y - d - 15 = -2*l. Calculate the greatest common divisor of x and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/163 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33027221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1556 + -1554. Which is the smallest value? (a) g (b) -13\/6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 66468?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 5*p - 5*u + 65686, -5*p + 3*u - 65702 = 0. Let t = p + 33209. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 412*j - 42403. Determine g(202).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 288 = 4*p. Let r = p - -111. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:33 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13 - 8*d**2 - 14*d**2 + 21*d**2. Let q be a(-3). Let w(l) be the first derivative of l - 1. Let h(s) = -s**2 - s - 10. What is q*w(p) - 2*h(p)?\nAnswer: 2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 4, n: 1, u: 3, z: 2, j: 1}. Give prob of sequence jn.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5700 + -7?\nAnswer: -5707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95971.35 seconds to milliseconds.\nAnswer: 95971350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/5 (b) -0.594 (c) 2 (d) 0.3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 5*g**3 + 3*g**3 + 10*g**3 - 19*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3017069179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.062.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 4\/5 (c) -1362.2 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -2 - (-8 + 2). Suppose 0 - g = -2*j. Let q(b) = 3 + 0*b**3 - 4*b + b**j + 1. Let r(s) = s**3 - 5*s + 5. Calculate 5*q(n) - 4*r(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -2*j + 12, -2677*j + 2673*j + 5*q + 27 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -17*k - 2. Let w(q) = -2*q - 2. Let o be w(-9). Suppose i = -3*i - o. What are the prime factors of s(i)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 1199, 1794, 2389, 2984?\nAnswer: 3579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 162?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33061874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.36842 - -1.5092. What is i rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -28. What is the highest common factor of m and 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j**2 + 29*j - 14. Let t(d) = -3*d**2 - 4*d - d - 5*d + 5. Let i = 17533 + -17529. Calculate i*q(z) + 11*t(z).\nAnswer: -z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28039\/40 - -701. Let b(i) be the third derivative of 2*i**2 - 1\/4*i**4 + 0*i + k*i**5 + 0 + 3\/4*i**3. Factor b(f).\nAnswer: 3*(f - 3)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = -18. Calculate the remainder when 32 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0 + 0 + m. Let v(b) be the third derivative of -b**5\/20 + 3*b**2. Give u(v(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-531 - -531)*(-2)\/8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 47*c + 555. Let w be v(27). What is the highest common divisor of w and 3305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q**2 + 17*q - 20. Let p be (25\/(1925\/66))\/(1\/28). Let s be g(p). What is s rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-69.\nAnswer: 20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28688*b*m**2 + 6*m**2 + 344*m wrt b?\nAnswer: -28688*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**3 - 15*h**3 - 11*h**3 + 1 + 33*h**3 + 257*h**2 + 1 as v*h**2 + n + r*h**3 + x*h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = -15*j - 54 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*x**(1\/4))\/(x**5*x**3) assuming x is positive.\nAnswer: x**(-147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10913.2 - 9161. Let r = c + -1920.113. Let b = r - -168. Round b to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000658 to 6 decimal places.\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 21230027.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 - 704*l + 6722. Calculate p(-185).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1122976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*y - 2. Suppose -3*v + 3*h + 72 = 0, 2*v + y*h - 25 = 18. What is the highest common divisor of v and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6842 + 100.4\nAnswer: 98.7158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4 + 6*h**3 + 12*h**2 + 8*h = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 + 3606189922102?\nAnswer: 3606189922101.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.15727l to millilitres.\nAnswer: 55157.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c**2 - 2 + 2 + 3 - c**2 - 3 + (2 - 2 + 2*c)*(-c + 0*c - c) - 3 + 3 - c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 8*h - 5. Suppose 3*a - 71 = 46. Let j = -44 + a. Let i(o) = -3*o**2 - 17*o - 11. Let u(f) = j*w(f) + 2*i(f). What is u(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 8 = -t + 5*h, 5*t - 4*h - 15 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 32 = 5*n + 3, -5*p + 19 = -n. Solve -3*j - 12 = 2*j + p*f, -3*j + 20 = -5*f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/11 + 310*i**2\/11 - 28*i = 0. Calculate i.\nAnswer: 0, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -9. Suppose 2*v - b*o - 1 = 0, 2*v - 4*o = -0*v + 2. Suppose -5*z + v = a, 5*z + 3 = -12. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/(n**(-6)\/n*n)*n*n)\/n)\/(n\/(n\/n**11)))\/(n**(-7\/2)*n*n\/(n\/n**(1\/18))))**(-15\/4) assuming n is positive.\nAnswer: n**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**4\/8 - 53*j**3\/2 + 1703*j**2\/4 + 53*j\/2 - 3405\/8 = 0?\nAnswer: -227, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1432 - -0.14285855. What is i rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 61 = 24. Suppose -3*m + a = 2*l, 4*m = 14 + 6. What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.221 minus -34721310.3?\nAnswer: 34721311.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 205. Suppose -28*c = -26*c - n. Suppose 2*h - 20 - 19 = -w, 0 = 4*h + 3*w - c. Solve 2*z = -i + 8, -i + 2*i + 5*z - h = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5665 = 5*m, -12*m + 7*m + 2*b + 5660 = 0. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2980 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 w(c) = -2*c + 29. Let f(d) be the second derivative of d**3\/6 - 600*d. Give w(f(l)).\nAnswer: -2*l + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 332 + -284 + 26 + 1 + 0\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14058 and 89815.\nAnswer: 1616670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 - 106\/(-2). Let o = 9 + -4. Suppose 0*x - d = -o*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 6. Let z be u(-9). Let c = z - -5. Solve 0 = -c*s + 6 + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/36284 and -52\/408195.\nAnswer: 1632780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*k**3*o - 126*k**3 - 38*k**2 + 20608*k*o - k + 5 wrt o?\nAnswer: 5*k**3 + 20608*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*o**3 + 30*o**2 - 391*o + 2?\nAnswer: 84*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142944912*h**3*z + 103*h**2*z - 344875*h**2 wrt h.\nAnswer: -857669472*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -10. Let b be ((-28)\/6)\/((-4)\/j). Let c = -4 - b. Solve -c = -4*z + z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 22649488.\nAnswer: -1\/5662372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -18 + -1 + (3 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 18. Let o be a(9). Suppose o*y - 25 = -y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 59. Let t = 35 + v. Let w = 66 - 36. Calculate the greatest common factor of t and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -37862 (c) -1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 16551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2170.67 centimeters?\nAnswer: 21.7067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5386 is divided by 154.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1412 (base 5) to base 9\nAnswer: -277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - g - 1)*(3 - 2 + 1)*(-23*g**3 + 245*g**3 - 24*g**3) + 9*g**4 + 0*g**4 - 4*g**4.\nAnswer: -391*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k - 58 = 11*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 490, 970, 1424, 1840, 2206?\n\"Answer: -2*a**3 - a**2 + 497*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 3)*6\/9. Let o be 27\/(-6)*g*-3. Let t = 61 + o. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797015, 797013, 797011, 797009, 797007, 797005?\nAnswer: 797003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 10*k - 7*k + 138*k**2 - 3*k - 133*k**2. Let w(t) = 2*t**2. Calculate w(m(s)).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*h = -15, m + m - 4*h = -14. Let t be 0\/(m + (1 - 3)). Suppose b + 2 = i, -2*b + t*i = i - 5. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -22.5. Let p = 2.4 + -2.1. Which is the second biggest value? (a) p (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 47 - 47)*(0*v + 0*v - 4*v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 10. Determine a(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**7\/210 + 19*g**6\/30 + 29*g**5\/5 - g**2 + 178*g. Find the third derivative of q(t) wrt t.\nAnswer: 24*t + 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20650, -41308, -61994, -82708, -103450, -124220, -145018?\n\"Answer: -14*k**2 - 20616*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2164 and 1.\nAnswer: -2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*((-49)\/14)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2874465*-0.18\nAnswer: -517403.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/12 - 300\/(-360). Let d(y) be the first derivative of 4 + m*y + 0*y**2 - 2\/21*y**3. Determine h so that d(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**4 - 14 - 2*g - g - 48*g**3 + 45*g**3 + 14 - 3*g**2 in the form k*g**2 + z*g + n*g**3 + l + i*g**4 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z - 1 = 2*x, 2*x + 31 = 5*z. Suppose -f - 3 = 2*n - z*n, 0 = f + 2*n - 22. What is the greatest common factor of f and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*-3 + (-6)\/6. Let o = w + -19. Let d be (2\/4)\/((-16)\/o). What is the highest common factor of 4 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h - 114 = 0. Calculate the greatest common divisor of h and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 4*u)*(-7 + 2 + 2) + 0*u + u - 2*u - 2 + 2 + 2*u + (-4 + 0 + 3)*(0 + u + 0) + 43 - 43 + 27*u to h + j*u and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68, 1143, 4548, 11281, 22476?\n\"Answer: 189*s**3 - 37*s**2 - s - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342 and 77634?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q. Let o be g(0). Suppose 3*s - 11 - 16 = o. Suppose -m + s*m + 32 = 0. Which is the closest to 0? (a) -5 (b) m (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877693.4 minutes to microseconds.\nAnswer: 52661604000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2259101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/61? (a) -0.01 (b) -4 (c) -1 (d) 3 (e) -2 (f) 252\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1644067986 by 3.\nAnswer: -548022662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 51, 95, 147, 201, 251?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -20. Let r = 17 - x. Solve -5 = -r*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11265 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: Rearrange (15*b + 12*b - 1 + 8*b)*((-2*b**2 + b**2 + 4*b**2)*(-1 + 2 + 1) + 5 - 2*b**2 - 5) to c*b**2 + v*b**3 + y*b + g and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 92982 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 39*t - 34*t + 5, 3*t - 4*m + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i*n**2*o - i*n*o + 35*i - 2*n**4*o + 124*n**2*o - n wrt n.\nAnswer: -2*i*o - 24*n**2*o + 248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 174*r - 4076. Determine v(-107).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -320246 * -1.4.\nAnswer: 448344.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30447 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -420, -778, -1238, -1800, -2464?\nAnswer: -3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67533472 to the nearest integer?\nAnswer: 8218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*m + 8*m - 18 = 8, 3*m = -7*a - 182 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4658822, -9317645, -13976468, -18635291, -23294114?\nAnswer: -27952937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 21*h - 609. Let o = 92 - h. Let f = -6 - -3. Sort o, 0, f in decreasing order.\nAnswer: o, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177865, -177756, -177651, -177550?\nAnswer: -177453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0)*(-1 - 2 + 0)*((-4 + 4 - 1)*(-3*z - 3*z + 4*z) + 8*z - 9*z + 11*z) to the form f*z + y and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2. Let f(s) = 110*s. Give f(x(o)).\nAnswer: 330*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -5\/11 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 31*w - 88*w + 4*w + 53*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/47866 and -67\/600166?\nAnswer: 7802158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -1467*m**2 - 29*m - 7. Let o(g) = -727*g**2 - 15*g - 4. Calculate -4*h(n) + 7*o(n).\nAnswer: 779*n**2 + 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*i - 23682, 2*s - 25727 + 9944 = -3*i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2305227*s**3 - 60102*s**3 + 146459*s**3 - 811173*s**3.\nAnswer: -3030043*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*c + 448*c = 896*c - 928 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 + 3748548*y**2 + 37485483*y\/5 + 18742742\/5.\nAnswer: -(y - 18742742)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -48078 less than -47952?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148803*j - 5 - 148814*j + 5.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 80bcb4 - 0?\nAnswer: 80bcb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*w + 26. What is the units digit of -4*((-46)\/8 + w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 176\/(-10) - (-10)\/(-25). Let d be (u\/4)\/(2\/(-8)). Let r = d + -11. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*h = -84*h + 34 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h + 35. Let b(k) = -3*k + 2 + 5 - h. Let n(l) = -2*l. Give b(n(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.895 - 1.8950001453. Round n to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263739667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177 and 2.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*t = 0, -4*t - 6 = 5*u - 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 12:50 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 91.10338 years?\nAnswer: 9.110338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) -29\/5 (c) -99734\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**3*h**3*q**2 + 87086*d**3*h*q - 13*d**2*h**2*q**2 + 9*d*h**3*q - 256*d*h**2*q**2 + h**3 wrt d.\nAnswer: -12*h**3*q**2 + 522516*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**2 - 2*q - 4. Let b be f(8). Calculate the greatest common factor of 154 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(((-27)\/(-30))\/9). Let t = v - 25. Solve 5*x + t = -0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 417226 and 1838?\nAnswer: 417226","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chcccbach. Give prob of sequence hch.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/84 + (-4)\/(-14). Let r be ((-1036)\/(-592))\/(1 + 6). Which is the nearest to l? (a) r (b) -5 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1436, 1379, 1294, 1181, 1040?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/(l\/(l**(-15)\/l)*l) assuming l is positive.\nAnswer: l**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6757*d = 6113*d + 13524 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1641 is divided by 82?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) 129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1 + 9)*120240\/82665?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98910 and 725340?\nAnswer: 2176020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136)\/(-102)*(-2)\/((-16)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10970a5 (base 11) to base 6\nAnswer: -104555214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.828 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d. Let m(z) = 3*z. Let w(t) = -4*t. Let i = -3 - 3. Let a(j) = i*m(j) - 5*w(j). Calculate b(a(s)).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 3345?\nAnswer: -3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25704 and 9792?\nAnswer: 205632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/469 in 2\/3, 5\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -241734?\nAnswer: 5\/241734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011212020000011 + -100?\nAnswer: -11011212020000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94910?\nAnswer: 2, 5, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhv when three letters picked without replacement from {t: 2, v: 1, z: 11, h: 1, f: 3}.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13\/z**11)**16\/(z**(2\/9)*z**(-3\/7)*z**1\/z**7) assuming z is positive.\nAnswer: z**(2407\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -631174*h**2 - 33452226*h - 212.\nAnswer: -2*(h + 53)*(315587*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -209.1 * 24399.\nAnswer: -5101830.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.06 - 8. Let o = l - -0.34. Sort -4, -6, o in ascending order.\nAnswer: -6, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-6 - -2) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13352 - 126?\nAnswer: 13225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 18 = -3*x. Let i = 7 - x. Suppose 2*f = -4, 0 = -4*z - z - f + 298. Calculate the greatest common divisor of z and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + (-35 - 8 - -34)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3181*r + 913*r + 1301*r + 1862*r**2 + 1416*r wrt r.\nAnswer: 3724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115.582 + 104.5811. Let d = w + 11. Round d to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 246.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 4. Let x be v(6). Suppose 5*n + 2*h = -0*n + x, 4*n - 3*h = 8. Suppose -8 + 0 = -n*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.72 + 0.28. Let j = -23 + a. Let f = j + 15. What is the biggest value in 3, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 10*m**2 - 10*m + 4. Let f be j(9). Let z be (2*-1)\/(2 - 3). Let a be (f\/2)\/(z\/4). Let t(y) = -y**3 - 4*y**2 + 6*y - 5. Calculate t(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2131 divide 107266601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3209522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3511 + -936. Does 103 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*(sqrt(95)*1 - sqrt(95)) - 1*1*sqrt(95)))\/((sqrt(20) + (sqrt(20) - (sqrt(20) - 1*sqrt(2880) - sqrt(20))))*-6).\nAnswer: 5*sqrt(19)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -137, -449, -1051, -2039?\nAnswer: -3509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15.85184ug?\nAnswer: 0.01585184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:37 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 39. Let b be p(-22). Solve -b*r - 10 = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.6 - 48. Let i = 12.98 - 2.28. Let j = i + f. Round j to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u - 2*u**3 - 9*u**3 - 25*u.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 60884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/10 + (-21)\/(-35).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259962 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 10142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3\/3 + 158*a**2\/3 + 1331*a\/3 - 1490\/3 = 0. Calculate a.\nAnswer: -149, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - 11*a**2 + 75*a - 76. Is j(12) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**2 + 2*z - 7. Let t(r) = -3*r**2 - r + 3. Let m = -719 - -714. What is m*t(g) - 2*a(g)?\nAnswer: g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 10, -636, -7, -1, 0.1 in decreasing order.\nAnswer: 10, 0.1, -0.4, -1, -7, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 18 = -3*m, -487*q + m - 10 = -485*q + 3 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p - 23*p + 851304 = -21*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/3)\/(6\/9). Let v be g + 8*(-1)\/(-2). Suppose -4*i + 72 = 3*m + m, -48 = -2*i + v*m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 16, 12, -4, -38, -96?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h + 53. Let s(w) = 4*w - 35. Let g(r) = -8*s(r) - 5*v(r). Let k be g(5). Suppose k*n - 2486 - 4319 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*k, 0*k - 4*k = -2*l - 26. Suppose 4*r + x + 0*x - 198 = 0, -3*r + 140 = k*x. What is the greatest common factor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*a - 105*a + 0*i = -i - 141, i + 4 - 10 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 172, 199, 226, 253, 280?\n\"Answer: 27*k + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 373, 746, 1119, 1492, 1865?\n\"Answer: 373*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + 10 + -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:18 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220221 + 10210?\nAnswer: 12001201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 3*b**4\/2 - 2*b + 9920. Let u(z) = 84*z**2 - 2. What is r(u(x))?\nAnswer: 127008*x**4 - 6048*x**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4*z + 0*z)*(-5438 + 20863 + 24062 + 10581 - 5379 + 505).\nAnswer: -45194*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 5*o + 2. Let l be m(5). Suppose 0*p = -p + l. Suppose 0 = 5*a - 3*t - 3, -5*a = -3*a + p*t - 14. Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1*(-7)\/(-14))\/((-7)\/406))\/((-2)\/2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.863126 millimeters to meters.\nAnswer: 0.004863126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 312764676797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116255 - 24841. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131 - 67. Let k = -38 + u. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -902, -914, -940, -986, -1058, -1162?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298787, 298730, 298641, 298520?\nAnswer: 298367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*y + 149608, 31*y = 3*i + 27*y - 224391. What are the prime factors of i?\nAnswer: 11, 13, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -41. Suppose n - 239 - 152 = h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**5 - a**4 + 65075*a**3 - 8*a**2 + 2538*a + 26.\nAnswer: 240*a**2 - 24*a + 390450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(1432 - 1432 + 27*h).\nAnswer: 81*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, h: 14, y: 5}. What is prob of sequence iyh?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4537678*u = 4537516*u + 13770 for u.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-2 - 2) + (0 - 2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 7792.34.\nAnswer: 7792.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/(-40))*(-2)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -213313232 - 0?\nAnswer: -213313232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 314849715?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2599, 2595, 2589, 2581, 2571, 2559?\n\"Answer: -o**2 - o + 2601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**9)\/x*x*x**(16\/7) assuming x is positive.\nAnswer: x**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520415 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)\/(0 - 1). Suppose -27 = 4*f + m. Sort f, -2, 1, -4 in ascending order.\nAnswer: f, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2550 - 985. What are the prime factors of t?\nAnswer: 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35360 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 - 109.24. Let u = 155 - 160.44. Let y = u - z. What is y rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1637181 and 3654?\nAnswer: 94956498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/3 (b) -4\/3 (c) 866709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 11 - 1 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62160 and 28960344?\nAnswer: 289603440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988568515.\nAnswer: 5, 37, 347, 30977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 2*x**2 - 2*x + 4. Give r(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 1397448.\nAnswer: 9782136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22 - (1 + -2 + 4). Suppose 0 = -5*m + 4*f + 60, 3*m - 3*f + 4*f = o. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3456007 rounded to 3 dps?\nAnswer: -0.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56426, 60344, 64264, 68186, 72110?\nAnswer: 76036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -8. Let y = v - -11. Suppose -4*m + 7 = -3*r, 2*r + 4 - 3 = -m. Put -5, r, y in increasing order.\nAnswer: -5, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1988.9 - -1989. Which is smaller: -224 or q?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose -5*x + 2*c = -6, t = -5*x - 2*c + 9 + 5. Suppose 3*l + 15 = 4*g, -3*g + 5*l = g - 17. Solve 3 = -x*q + 3*y + 4, g*y - 11 = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 607*q - 609*q - 968, -5*d + 986 = q. What is the least common multiple of d and 308?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 154?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 18 - (-1192 - -1187)) + 1 + -34.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 2:29 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 + 288. Let j = n - 61. Suppose -2*m + 5*o + 105 = 0, -2*m - o = 2*m - j. Calculate the highest common factor of 16 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 867 = 0. Calculate the common denominator of -77\/12 and (-2)\/12 - s\/(-60).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -8465.\nAnswer: 79\/8465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d. Suppose -5*u - 88 + 13 = d. Calculate the common denominator of u and (-530)\/(-24)*2\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 208858 - 485942297.5\nAnswer: -485733439.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5))\/(-12*(-3)\/(-1140))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28497 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31230, 62533, 93954, 125511, 157222, 189105, 221178, 253459?\nAnswer: 285966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 30 - 10 = 0. Let v = -4 - -4. Suppose v = -x + m + 7. What is the remainder when 22 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -21*t. Let h(r) = -r**2 + r - 8. Calculate h(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 4*m - m**2 + 2*m**2 + (-3*m + 0*m + 5*m)*(-2*m + 0 + 0).\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 60.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 + -30?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 38, 48, 56, 62?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2 + 6929*p - 63864.\nAnswer: -4*p + 6929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:05 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 378, 577, 872, 1263?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 5, -42857?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3596 is divided by 1742?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -891 or -892?\nAnswer: -892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*y**3 - 1011*y**2 - 33717*y wrt y?\nAnswer: -24*y - 2022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/13*o - 8\/13 + 2\/13*o**2.\nAnswer: 2*(o - 4)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 5*x - 0*g - 3*g, 3*x - 27 = 5*g. Let b(t) = 4*t - 4. What is the remainder when b(x) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 259 - -1875?\nAnswer: 1b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20673 by -3.\nAnswer: 6891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**5 + 26*z**4 - 12*z**2 + z - 755 wrt z.\nAnswer: 180*z**2 + 624*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q = -812. Let o = q - -297. Suppose -4*j - o = -6*j. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-2 - (-3 - (-3 + 3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 189461 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 20 = g - 2*v, 0 = g - 4*v - 24. Suppose 0 = 12*c - g*c + 44. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = -3*x. Does 7 divide ((-66)\/x)\/(-3) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717 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: 3.1067304415+14\nAnswer: 17.1067304415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17129818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -28. Let m be (11 - c) + 39 + 0. Suppose 2*d - m = -4*u, 0 = -u - 0*u + 4. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 21*i + 42*i + 14*i.\nAnswer: 75*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 838*p**3 + p**2 - 28*p + 93. Let w be y(3). Calculate the highest common divisor of w and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 38016 - -10003?\nAnswer: 48020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h + 1. What is k(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -703, -713, -737, -781, -851, -953, -1093?\n\"Answer: -i**3 - i**2 - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + a + 2 + 0)*((3*a**3 - 3*a**3 - 2*a**3)*(a + 0*a - 3*a) + 3*a**4 + 0*a**4 - a**4 - 3*a**4 + 5*a**4 + 0*a**4).\nAnswer: -16*a**5 + 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -376293 equal to -376295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 710573 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 646 + 5?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 15) in base 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00178584 - -1.\nAnswer: 0.99821416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 7*u**2 + 95. List the prime factors of w(0).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -122 + 230. Let v(i) = i**3 + 6*i**2 - 18*i + 14. Let d be v(-8). Let u be 6\/d - k\/(-10). Calculate the highest common divisor of u and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 1. Let p be n(2). Suppose z + 9 = 4*z. Suppose 5*o = -p*q + 48 + 18, z*o - 60 = -3*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/91 + (-136)\/(-104) - 9\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g + 17. Let o(n) = 3*n + 16. Let z(t) = -7*o(t) + 6*r(t). Let c(d) = 2*d + 9*d - 11*d + d**2. Determine c(z(j)).\nAnswer: 9*j**2 + 60*j + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -2a36?\nAnswer: 2a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 0*v - 2*v. Let z be (2\/(-4))\/((-4)\/8). Suppose -4*u + 3 + z = -4*y, -y + 5*u - 1 = 0. Give g(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 15, -290 in decreasing order.\nAnswer: 15, -14, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891049 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/13)\/l*l**10*l*(l*l**(-3))**(-3))**(-41) assuming l is positive.\nAnswer: l**(-8610\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 14532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1586 and 234?\nAnswer: 14274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -204*u**2 - 4111*u + 26. What is z(-20)?\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 1, k: 1, b: 3, m: 3, v: 2}. Give prob of sequence qqv.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55331 is divided by 2211.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvv when three letters picked without replacement from avjvab?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2656*d + 2296*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -59. Suppose -4*z = 2*w - d, z - 3*z = 2*w. Suppose 5*q + z*j - 127 = 0, j + 157 - 47 = 4*q. Calculate the smallest common multiple of 18 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 0.19 (b) 30 (c) 451 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -377609181*u**3 - 386938470*u.\nAnswer: -2265655086*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/149 or -1?\nAnswer: 11\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 4 + 0*p**6 - 2\/3*p**3 + 15\/7*p**7 + 0*p**2 + 0*p**5 + 0*p + 0*p**4. Find the third derivative of u(n) wrt n.\nAnswer: 1800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.462 and -105576.\nAnswer: 787808.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32476 and 104512?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188505833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)*(1 + 5\/1). What are the prime factors of (1 - t\/10)*(-8 + 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*(x*x**(-1\/3))\/x*x)\/x)*x)**12)**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014616 to 6 decimal places.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -18.6. Let y = 1.04 - -0.16. Let q = 0.9 - y. Which is the smallest value? (a) j (b) 4\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y - 12 = 0. Suppose 0 = -k - 1, -3 = -y*v + 2*k + 7. Let b = 120 + -102. Calculate the lowest common multiple of v and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.651631 litres in millilitres?\nAnswer: 4651.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/9)*h\/((h**(-3\/8)\/h)\/h))\/(h*h**(2\/3))**(1\/3)*(h**(2\/3)*h)**(-3\/23)*h**(1\/5)\/h*h*h*h*h**1\/h assuming h is positive.\nAnswer: h**(40681\/8280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 9261?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15973944 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -554463, -1108432, -1662401, -2216370, -2770339?\n\"Answer: -553969*s - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 13280288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 241.8849um?\nAnswer: 241884.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**3 + 3*v**2 - 5*v - 4. Let w(k) = -k**3 - k**2 + k + 1. Give o(t) + 3*w(t).\nAnswer: 8*t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.942493 to zero decimal places.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, u: 3, v: 3, o: 4}. Give prob of sequence joov.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13967, -13956, -13943, -13928, -13911?\n\"Answer: w**2 + 8*w - 13976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 4*u**2 - 10*u - 5. What is m(5)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-7))\/(o\/o**(1\/3)))\/(o**(3\/5)\/(o**(4\/5)*o)) assuming o is positive.\nAnswer: o**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = 5*g. Let f be ((-108)\/21)\/(-4) + g. Let h = -0.1 + 0.1. What is the nearest to h in 0, f, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.159 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 497, 423, 289, 65, -279, -773, -1447?\n\"Answer: -5*b**3 - 39*b + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 147*j**2 - 39*j**2 + 14*j**2 + (-1 - 1 + 0)*(j - j - 2*j**2).\nAnswer: 126*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 44 = -35 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24205905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) 3\/4 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1129*m - 3579*m - 2737*m.\nAnswer: -7445*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65b + -202c02?\nAnswer: -202574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.7 + -0.66. Let r = x - -0.06. Let u = -0.2 - 0.3. What is the smallest value in 4, u, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**5 - 72*o**4 + 172*o**3 - 152*o**2 + 40*o. Let x(t) = t**5 - 24*t**4 + 58*t**3 - 51*t**2 + 13*t. Let i(j) = -8*x(j) + 3*z(j). Factor i(h).\nAnswer: 4*h*(h - 2)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**14*b**(2\/15)*(b**(-5\/2))**(-16) assuming b is positive.\nAnswer: b**(812\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, s: 1, c: 2}. What is prob of picking 3 k and 1 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054 * 3.2.\nAnswer: -0.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/89 (b) 0 (c) -2\/3 (d) -166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 + (-46)\/(-11) + 0. Suppose 7*p - 3*p = w*n + 224, n - 3 = 0. Let z = 18 - -13. Calculate the remainder when p is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 79, 8\/389, -6 in increasing order.\nAnswer: -6, 0, 8\/389, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 311 and 436333.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -0.5. Let s = 148\/55 - 34\/11. What is the smallest value in -3\/5, s, q?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 16732 = -4*f + 45198, -f = -k - 7115. Calculate the highest common factor of 36 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1331 = -6*t - 1409. What is the third smallest value in -2\/13, -0.8, t?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 + -145.3. Let p = -6.1 - b. What is the biggest value in 0.1, 0.6, p?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 978 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - (-3)\/2. Suppose 2*d = -m + 11, -f*m = -4*m - 3*d + 19. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 5810*c + 70440.\nAnswer: -5*(c - 1174)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -m + 775. What are the prime factors of m\/42 - (-2)\/14?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.346 + 2.654. Which is the closest to -2? (a) -0.3 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -24 + -5)\/(-11 - (-2 + 11) - -19).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q. Let i(p) be the third derivative of p**6\/360 + p**3 + 5*p**2. Let g(r) be the first derivative of i(r). Determine b(g(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -131*q - 3. Let v(s) = 133*s + 2. Determine -2*n(c) - 3*v(c).\nAnswer: -137*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 10, 1, -24, -71, -146?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 + -3.91. Put 5, 5\/3, p in descending order.\nAnswer: 5, 5\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 2*b + 2, b - 6*b + 4 = 4*l. Solve -5 + l = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + (sqrt(288) - (-3 + sqrt(288)))**2 + sqrt(4)\/(sqrt(10)\/sqrt(5)) - -2*sqrt(24)\/(sqrt(24)\/sqrt(2)*4)).\nAnswer: -36 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183695?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14*-1)\/((-24)\/28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1791*y + 4451. Determine m(-2).\nAnswer: 869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 148*x**2 + 2044*x - 46910. What is m(159)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 4.97 bigger than -11\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -80109 (b) 1\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*i - 122*i - 462 = 98*i - 359*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 65*n - 208. Give j(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002400269 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159425 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9*o + 6*o = -15, -2*o = 4*c - 10. Is c at least as big as 5\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/6 + (-4)\/(-6). Let g = 6 + b. Suppose g = q - 0. Calculate the remainder when 3 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 17*n - 18 = -4*v, -2*n - 9*v = -14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s - 3 + 3)*(-3 + 5 + 0) - 2*s + 3*s + 0*s - 21*s + 16*s - 23*s)*(0 + 0 + 2*s**4).\nAnswer: -58*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769603128?\nAnswer: 2, 15233, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 0*w**2 - 22*w - w**2 + 31*w to n + l*w**2 + j*w and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56029, -56195, -56361, -56527, -56693, -56859?\n\"Answer: -166*u - 55863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17744926.\nAnswer: 2, 29, 305947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(-3 + sqrt(57)\/sqrt(3) + 4 + ((sqrt(133) - sqrt(133)*1*6 - sqrt(133)) + sqrt(133))\/sqrt(7))*3)**2.\nAnswer: -288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7857 + -7862. Let p(l) = l. Let o(x) = x**2 - 2*x - 4. Let f be o(3). Let k(t) = -4*t - 11. Let h(i) = f*k(i) - 3*p(i). Calculate h(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - 29?\nAnswer: -1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppvppv. What is prob of picking 2 v and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y = -72*y + 3*s - 16, 13*y + 5*s + 80 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g - 372 - 618. Let x(u) = -58*u + g*u - 51*u + 91. Let p(w) = -2*w. Calculate x(p(t)).\nAnswer: -2*t + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112991767 by 19661.\nAnswer: 5747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.333 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87 - -58276?\nAnswer: 58178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4\/2 - 5*b**3 - 5*b**2\/2.\nAnswer: -5*b**2*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3 and 50\/6627.\nAnswer: 6627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 8 + -9 + 17 - (1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15449 - 0.033.\nAnswer: -15449.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 62. Suppose -n*w - 213 = -597. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(2 + 4 - 4)*(0*a + 2*a - 3*a)*((-1 + 1 - 2)*(a - 4*a + 2*a) - 2*a + 0*a + a + 110*a - 326*a + 130*a)*(2*a**2 + a**2 - 4*a**2).\nAnswer: -340*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 - 20*b**3*h**2 + 75346*b**3 + 42*b**2*h**2 - 5371*b**2 - 8*b*h wrt b?\nAnswer: -60*b**2 - 120*h**2 + 452076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 39*y - 65. What is the least common multiple of j(17) and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2, -v + 5*d = 8 + 2. Is (3 - (-20)\/v)\/(1\/267) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -17, 1\/10, -0.5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*v**4 + 12 - v + 6*v**4 - 2*v - 24*v**4 wrt v.\nAnswer: -504*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*o + 22092 = 252*o - 832*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 49 = 23. Solve 2*d + p + 5 = 0, 2*p = -d + 1 - r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 16*j - 57. Determine i(-7).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33328 - 33328 - 4014*a.\nAnswer: -4014*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 735*s**2*w**2 + 97*s**2 + s*w**3 - w**3 - 20*w wrt w?\nAnswer: 1470*s**2 + 6*s*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 35*b + 115 + 11. Is b not equal to 94\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85) - -2*sqrt(85)) - (sqrt(85) - sqrt(85)*2*-2))\/((-1*sqrt(5000))\/(((sqrt(10) - (sqrt(10) - sqrt(20)\/sqrt(2))) + sqrt(10))*-3)).\nAnswer: 39*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 599*f = 598*f + 74, 506 = 65*x + 3*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836246 is divided by 9088.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.9, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, 2\/249, -175, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -5\/6 (c) 5\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57814 + 42?\nAnswer: 57856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 + 4*r. Let z(c) be the second derivative of 7*c**4\/4 - 9*c**3\/2 - 1125*c. Calculate -27*f(m) - 4*z(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*i, 22*i - 20*i - 5*a - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 150216?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -16. Let t = -2 - l. Let p(j) = -9 - 10 - 2*j**2 + 8 + j**2 - j. Calculate p(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**8\/280 - j**4\/6 - 11*j**3\/2 - j**2. Let o(t) be the first derivative of a(t). What is the first derivative of o(x) wrt x?\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -92 (b) 0.5 (c) -0.2 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:38 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13472*v**3 + 31591.\nAnswer: 40416*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 4 - 15) + 5 + (5 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10888 - (7 - (2 - -1)). Suppose -8*m + 4*m + h = -3*d, -3*d + 8142 = 3*m. Suppose -2*q = 784 - m. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128 + 123 - 8*v**2 + 20*v**2.\nAnswer: 12*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49137 is divided by 234?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7486 and 17366?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000208336 to seven decimal places.\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*i + 42 = 342*i - 4*t, -22 = -i + 3*t. Which is the biggest value? (a) -1\/5 (b) i (c) -4 (d) 0.1 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(2)*1).\nAnswer: -3*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 18*j - 300. What is the remainder when 238 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 at most 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s*s*s*s)\/s**(1\/7)*(s**(-1)*s)**(-50))\/((s**(2\/3))**(-28))**(-1\/45) assuming s is positive.\nAnswer: s**(1363\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r + 2\/3*r**3 + 3 + 2*r**2. Let b be z(-3). Solve 4*k = b*s - 21, -4*k - 4*s - 4 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4620000 rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25092665 or 25092666?\nAnswer: 25092665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0 - 12. Is 10 a factor of (-1)\/((5 + u)\/(-70))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 0*z - 1\/600*z**6 + 0*z**3 + 1\/75*z**5 - z**2 + 0 - 1\/30*z**4. Suppose y(j) = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71755386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -66?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271935 - 423301 - 61858 = 10231*h for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24930555*o**5 - 26359848*o**2 wrt o.\nAnswer: -1495833300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15468 (base 9) to base 11\nAnswer: 7a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1960*u + 1955*u = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 23 = -64. Let d = -4 + l. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -l**5\/30 + 295*l**4\/6 - 87025*l**3\/3 + 25672375*l**2\/3 - 3819*l. Determine m, given that w(m) = 0.\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-22) + ((-26337556)\/(-77))\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 11. Calculate the greatest common factor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 26*i**2 + 355*i**3 - 43 + 20*i - 356*i**3 - 19 + 10*i. Is g(-28) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165642 and 3648.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r + 16. Suppose 0 = r*k + k - 240. Let l be k\/8 - (0 - 1). Let f(x) = x**3 - 6*x**2 - 7*x. Determine f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -184148, -184123, -184098?\n\"Answer: 25*g - 184173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(2\/2)\/(-2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(0 + 0 - m)*(-2 - 2 + 5).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 28*f**2 - 4*f - 49. Calculate the remainder when 79 is divided by n(-28).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6075\/8775*455\/15?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64453588 and 12474888?\nAnswer: 386721528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 3*v**2 - 6*v - 5. Let l be o(-2). Suppose -w - w + 4 = 0. What is the greatest common divisor of l and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10436 - -10455. Calculate the least common multiple of d and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 9*n**2 - 6*n + 25. Suppose -2*d - 6 = 2*o, 3*o = -3*d + 2*d - 19. What is a(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -19 + 49. Solve -4*s + 4*c = 24, 0 = l*s + c + 28 - 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -48*h - 2. What are the prime factors of t(-3)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 - 2 = 0. Solve -b - 5 + f = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 7)*18\/(-15). Let v be ((-12)\/(-8))\/(w\/(-8)). Suppose 3*d - v*d - 9 = 0. Solve -2*l - 4*y - y = 23, -l - 2*y = d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 175 in 142\/3, 0.06, 3?\nAnswer: 142\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2\/5*f**2 + 2\/5*f**3 - 2\/5*f - 2\/5*f**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/8 + (-26441)\/(-5856) and 139\/66?\nAnswer: 64416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25\/4 - 91\/12. Let w = 5 + -3.3. Let z = 1.5 - w. Which is the closest to 0? (a) z (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/((q\/q**(2\/23))\/q)*q**(3\/7)*q*(q\/(q**2\/q))**(5\/9) assuming q is positive.\nAnswer: q**(405\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + 156*q - 156*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 19 - 17 = 0. What is the least common multiple of ((-66)\/(-55))\/(z\/(-100)) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsvv when four letters picked without replacement from {s: 3, v: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1144232 and 843?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ucucuc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 v when four letters picked without replacement from vlvvlevlvl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2103054332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide ((-20)\/(-4))\/(9 - (-181255)\/(-20140))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587980 is divided by 21753.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 11892*k - 11890*k - 8, 0 = -6*k + 4*o + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 51 = 1. Let v(a) = a**2 - 13*a + 2. Let x be v(t). Let 2\/3*k**3 + 2\/3 + x*k + 2*k**2 = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 382796496 and 84510.\nAnswer: 1913982480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -2*k**7\/105 + k**4\/6 - 2*k**2 + 5. Let h(m) be the second derivative of g(m). Find the second derivative of h(w) wrt w.\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15184958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 + 5*w**2 + 21*w**2 + 6*w**2 - 49*w**2 + 7*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/115011 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 8*p**2 - 3*p + 5. Let c be x(-11). Suppose 10 - c = -d. Suppose 2*k = d - 151. Is k a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409095 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, 10, 7, 2, -5, -14?\n\"Answer: -k**2 + 2*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, -1.6, -0.23, -27?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/46 and 45\/8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -611, 3, 0.1.\nAnswer: -611, -0.1, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s, -2*s + 521 = 4*v + s. What is the remainder when v is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1058\/107227?\nAnswer: 1058\/107227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 12805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 1:57 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 8.05. Is i greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45967308 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 254 = 1194. What is the greatest common divisor of w and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1078.0026655 - 1078. What is r rounded to four dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10361287 and 72529006\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -653354 divided by 4.\nAnswer: -326677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 - 3)*(r - r - r) + 6*r + 6*r + 100*r)*(-5 + 3 + 0).\nAnswer: -234*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -653*r**5\/20 - r**4\/12 + 11*r**2\/2 - 292*r. What is the third derivative of t(i) wrt i?\nAnswer: -3918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.9 - 28.900568. Round a to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -455, -428, -391, -338, -263, -160, -23?\n\"Answer: h**3 - h**2 + 23*h - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 11*z - 4. Let x be k(-6). What is the common denominator of (-76)\/x - (-1 - 2) and -5\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 1\/5, -2\/31, -142\/69?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spgphrrrhppsrup. What is prob of picking 1 r and 1 u?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 2 + 2*r**2)*(-1 + 1 + 1)*(133 - 99 - 111).\nAnswer: -154*r**2 + 154","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138843 is divided by 9914.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1458 - -1474.66. Let v = -0.34 - m. Let d = v - -5. Which is the third smallest value? (a) d (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**2 - 236*a + 66. What is the smallest common multiple of j(41) and 63?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378170 (base 9) to base 7.\nAnswer: 1642533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(2\/3)\/h**(2\/19))**38)**(-34))**(-2\/31) assuming h is positive.\nAnswer: h**(4352\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-14) + 8 + -6. Let p = 3.7 - 4.7. What is the second smallest value in p, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 7*f + 7. Let h = -10 + 2. Let r be t(h). Let a be (-4)\/(-10) - (-16)\/r. What is the smallest value in 0.1, 1\/5, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.05 - -3.05. Let y(b) = -b**2 - 11*b + 56. Let p be y(-15). Sort 0.5, l, p in increasing order.\nAnswer: p, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 768 and 1004288.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(147)*2 + sqrt(3)))\/(sqrt(16)\/(sqrt(20)\/sqrt(5))*-5).\nAnswer: -sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21655 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - -6.7. Let n = -9 + d. What is the third biggest value in -0.4, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r + 11. Let s be k(-6). Let a(m) = -2*m + 12. Let v be a(s). Let t = v - 35. What is the second smallest value in 0.3, -4, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1585 + -1517. Solve 0 = 8*u + 9*u + f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:29 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-396)\/(24\/4)*9\/(270\/15).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 3. Suppose 4 = -90*x + 92*x. Suppose -12 = -2*w + x*k, -3*k = 5*w + 2*k. Solve c = -h + w*c - 1, v*c - 25 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7212276 by 400682.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 2 - 4) + (-16 - -20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1752\/1095 + 52\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(4*((sqrt(5) - sqrt(45)\/sqrt(9)) + sqrt(5))).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37618 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.131685 + -0.79162. Let w = 19 - 18.66. Let g = w - u. What is g rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 456084.054107.\nAnswer: 456084.454107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-80)\/168 + 1\/3. Let v = 0.126 + -0.206. What is the third smallest value in r, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1407 - -7. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*n. Suppose n = -o + 1 - 5, 2*o = 2*y - 38. Let r = y - 4. Calculate the highest common divisor of 55 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 1\/2*z**3 + 23*z + 0 + 0*z**2 + 3\/20*z**5 + 1\/2*z**4. Factor o(b).\nAnswer: 3*b*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 2, f: 1, p: 6}. Give prob of sequence bc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1659 + 1678 - 3343 + 41*p)*(0*p + 0*p - 2*p**2) as f*p + v*p**3 + z*p**2 + a and give v.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25452297 rounded to 4 decimal places?\nAnswer: -0.2545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -596*a**2 + 26*a?\nAnswer: -1192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 88?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 6*n**2 + 6*n + 27. What is v(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 11243528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6624 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 - r - 3. Let c be (2 - (11 + -1)) + 3. Is q(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 5, -4, 56, 2\/13?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4176 - 4158. Solve 2*d - 6 = -3*m, 3*m + 5*d - p = -3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 4*g + 53, -116*v - 15*g = -121*v + 150 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6999440 and 1099912.\nAnswer: 76993840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*g - 176*g - 163*g + 517*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2445412 years?\nAnswer: 0.02445412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4038463 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67757 = 4331*t + 44924 - 224034 for t.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5037643 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -150, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1329 + 2458. What is the hundreds digit of (j*1)\/(85 - 84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y**2 + 3*y + 228. Let z(x) = 6*x**2. What is n(z(j))?\nAnswer: -180*j**4 + 18*j**2 + 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = c + 101, 5*c - 3*c + 4*j + 202 = 0. Let k = -95 - c. Suppose -2*x - k = -36. Solve i + x = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-424)\/14 - 6\/(-21). What are the prime factors of (r\/(-4))\/((-6)\/(-8))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 7:52 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 1 + 5 + 4*g + 1 + 0. Let l(o) = -o**3 - 5*o - 6. Let k(v) = -5*l(v) - 6*z(v). What is the second derivative of k(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3464840*b**6 - 17*b**2 - 4*b + 5438 wrt b?\nAnswer: 415780800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.46 - -2.5. Let q = -0.051 + g. Round q to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*v = 3946 - 418 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sss. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3842.1937 minus -2?\nAnswer: 3844.1937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15670, 33416, 62996, 104410, 157658?\n\"Answer: 5917*v**2 - 5*v + 9758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 + 2*h**2 + 8*h + 6. What is a(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5002.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-11)\/33)\/(6\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6697 - 2601. Suppose 165116 = -4*s + y. Let m = s - 509745. Round m to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021959 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 6*i - 1 = -4*d + 10, -1 - 1 = -2*d - 2*i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 10:32 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 331605601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*sqrt(243) - (1 + sqrt(243))**2*2)*-6*-2.\nAnswer: -5844 - 648*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11803644 - 1699733845\/144. Let v = t - -580\/9. What is the common denominator of v and 77\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 2)*(2*b + 2*b - 5*b + 1 - 5*b - 1 + 0*b + 4*b - 5*b + (1 + 3 - 2)*(-3 + b + 3)) to h + l*b and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 2, w: 3}. What is prob of picking 3 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 56*n - 59*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -r + 499, -35*b - r - 2537 = -40*b. What is the remainder when b is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 13. Suppose n*t = 1 + 15. Calculate the remainder when 15 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 14 = 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/12*-1*12\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -3 - (2 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10661, -10855, -11037, -11201, -11341?\n\"Answer: g**3 - 201*g - 10461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m - 1 + 4)*(3 - 3*m - 3)*(-2138 + 2138 - 12*m).\nAnswer: -72*m**3 + 108*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*1 - 1) + 1248\/208. Solve -w*r + 5*r + 3*l + 20 = 0, 0 = 5*r - 4*l + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4520151 (base 6) to base 11\nAnswer: 146471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -297122?\nAnswer: 29711a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79532, 159902, 241124, 323192, 406100, 489842?\nAnswer: 574412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 + 0 = -5*r, 5*r + 5*s + 5 = 0. Solve -6*z + r + 24 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-298)*-3)\/((83394\/452)\/123)\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 16*g = -147. Let u = g + -64. Suppose -2*v = 10, 14 = -5*z + 4*v - 41. Do z and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - -9. What is the remainder when f is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 - 2*y**2 - 4*y + 62 + 4*y + 869.\nAnswer: -2*y**2 + 781","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*3\/(-36)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1360853, -1360851, -1360849, -1360847, -1360845?\n\"Answer: 2*k - 1360855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 70 - 40 - 9*x + 9 - 38.\nAnswer: -20*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 11. Let q(u) be the first derivative of u**3\/3 + 3*u**2\/2 + 12*u - 6. Let h(k) = 4*q(k) - 3*t(k). Differentiate h(i) wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8251 is divided by 2370.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/11 + 118*h**2\/11 + 1380*h\/11 = 0.\nAnswer: -10, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 58*o - 1730. Determine u(31).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p = 93*p + 45 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 3*o**3 - 4*o**3)*(0*o + 2*o - o)*(-4 + 4 - 1)*(208 + 210 - 364*o - 417).\nAnswer: 728*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76))**2 + -1 + 2*sqrt(1900).\nAnswer: 75 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 6*g + 5*g**2 + 4 - 11 - 4*g**2 + g. Let k(t) = -t**3 - 3*t + 3. Let w(d) = -3*f(d) - 7*k(d). What is the third derivative of w(u) wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and -0.03?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = -5*y + 208. Solve 2*a = -3*a - 3*k + y, 24 = 5*a - k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49, 60, 71, 82, 93, 104?\n\"Answer: 11*x + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -29094.\nAnswer: -1\/9698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108374230?\nAnswer: 2, 5, 10837423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/2, 1.302, -0.4, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Factor -36*o**4 - 3*o**5 + 13*o**4 + 14*o**b + 6*o**4.\nAnswer: -3*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 2*z - 5*z)*(1 - 1 - 13) + 6*z - 3*z - z + (2*z + 6 - 6)*(2 - 4 - 1) to the form p*z + y and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(242) - sqrt(242))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236615.\nAnswer: 5, 37, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**29*i\/(i*i\/(i\/i**(-26)*i*i)))**10 assuming i is positive.\nAnswer: i**570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 920, 921, 922, 923, 924?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 20395353.871 and -11.2.\nAnswer: 20395342.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 = -26. Let a be -4*(-1 - z\/8). Suppose 2*f = -6 - 4. Sort a, 3, f.\nAnswer: f, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 286.631 and 1?\nAnswer: 286.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650613?\nAnswer: 3, 137, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/4)\/(-1) + 2. Suppose 6*j - 3 = w*j. Which is bigger: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -454.4 - -2186.\nAnswer: 1731.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbiibbbbqiqibs. What is prob of picking 1 i and 1 b?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*j**3\/2 - 162*j**2 + 366*j + 72.\nAnswer: 3*(j - 6)*(j - 4)*(11*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 3*q - q**4 + (0*q**4 + 2*q**4 - q**4)*(0 - 3 + 5) - 183 - 259 + 441 - q + 283*q**4 to c + r*q + l*q**4 + b*q**3 + g*q**2 and give l.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -1)\/((-157)\/(-625645))?\nAnswer: 2, 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 531230632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79348991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*(o**1\/o)\/o*o*o**4)**(-8\/5) assuming o is positive.\nAnswer: o**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3697518*k + 5 - 3 - 3689403*k - 2 to the form p + r*k and give r.\nAnswer: 8115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + (1 - -7) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 5.2, -3\/2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*v - 70 = -80, -6*v + 30 = 0. Let x(j) be the third derivative of -1\/3*j**4 - 26*j**2 + 0*j - j**3 - 1\/30*j**5 + f. Solve x(g) = 0 for g.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27599 + 27599 - 487*h.\nAnswer: -487*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -13788?\nAnswer: 1\/2298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -28. Let b be y\/((1426\/356 - 4)*-4). Suppose 0 = -4*a + b + 59. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2440 = 4*j + 5*z, -36*z + 610 = j - 31*z. Solve -611*s = -j*s + 8 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -15. Suppose 5*x + 20 = t, -4*t + 92 = -d*x + 12. Calculate the lowest common multiple of 7 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-15)\/(-4)*(-12 + (-102)\/(-9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37315031, 2, 3\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11538661 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 250, 233, 206, 169, 122?\n\"Answer: -5*j**2 - 2*j + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26981.\nAnswer: 26981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 = 2*j, -5*j = 3*b - 3 + 17. Suppose -b*z + 4*z - 2*a = 522, 5*z - 1329 = -a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/8 + (-1)\/2. Let o(w) = -w**3 + 5*w**2 + 8*w - 8. Is 8 a factor of o(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22690 + 50555. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 10 + 88. Let x(i) = i + 25. Let p be x(d). Calculate the highest common factor of 132 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -22, -3, 0, -51 in descending order.\nAnswer: 5, 0, -3, -22, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9209, -8648, -7729, -6452, -4817, -2824?\n\"Answer: 179*r**2 + 24*r - 9412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3812441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -518*s**5 + 20178*s**4 - 55008*s**3 - 2592*s**2 = 0.\nAnswer: -12\/259, 0, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 6. Let l be v(6). Suppose l = i + a - 3, -1 + 2 = -a. Let x = 32 - 21. Solve 0 = 5*f + 2*n - x, n - 6*n = -i*f + 22 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 159, 314, 469, 624, 779, 934?\n\"Answer: 155*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:37 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 7. Let r be d(5). Suppose -b = -1 - r. Let l = 5 + -8. Put b, -4, l in descending order.\nAnswer: b, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 87 + 182 + a**3 - 87.\nAnswer: a**3 + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4ae06 + -1?\nAnswer: 4ae05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 2*v**2 - 3*v + 3. Let o be q(2). Let d = 40957 + -204684\/5. Which is bigger: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -21602.\nAnswer: -5\/21602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 536795*o + 565028*o + 1013935*o.\nAnswer: 2115758*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)*(-15)\/(5 + -10). Suppose c*q - 5*q + 80 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 31 - 37 = 0. What is the remainder when f is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 7 = -5. Suppose k*y = 3*u - 0*u + 21, -3*y - u + 19 = 0. Let a(t) = t - 9 + y + 3*t**2 - 3*t - t. Calculate a(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17394 - 2*u**2 + 17394.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 99 + 89 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26574 - 13290 + 16*a - 13284.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11962.\nAnswer: 2, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -26*i + 9. Determine o(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 360 = -304. List the prime factors of 9208\/k + (80\/35)\/8.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f + 1. Give b(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2823597 plus -0.5?\nAnswer: 2823596.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = 45 - 36. Let k be (-2 - g) + 7 - 5. Which is smaller: k or 10\/43?\nAnswer: 10\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.2 - 9.5. What is the nearest to -3 in i, -2\/189, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3911\/(-8)*-90 - (-12)\/48 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3727 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9\/95 - 122\/285. What is the nearest to -3\/8 in -0.09, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 329769 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99512 and 1592192.\nAnswer: 1592192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013685 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 21*b + 20*b + 17, -3*b - 12 = -3*c. Solve 7 = -c*j + 42 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463073 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 42157*h - 210782. What is o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 55.01. Let t = -1.54 - 5.56. Let y = -5.1 - t. Which is bigger: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t - 5. Let o be z(-5). Suppose -3 = -s - b, 3*b - 9 = -0*s - s. Suppose -3*w + 8*w - o = s. What is the remainder when 32 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109187, -218378, -327569, -436760?\nAnswer: -545951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 6:23 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 7:15 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 = 2*a + 5*f - 268, -2*a = -f - 595. What are the prime factors of a?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f + 156. What is t(17)?\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 192141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 4:09 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -416985 take away 66?\nAnswer: -417051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-310))\/(2\/(-31)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 36*h**2 - 16*h + 32. What are the prime factors of a(12)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {a: 7, b: 2}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccizke. What is prob of sequence kc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 6*u. Let b be l(-6). Suppose 80 = 5*o - g - g, b = -g. Suppose -j - 5*t - 20 = -0*j, -o = 2*j + 4*t. Which is greater: j or 2\/25?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*k = 73, -3*s = s + k - 48. What is the highest common divisor of s and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 37 = -39. Let u(h) be the second derivative of 1\/66*h**4 - 4\/33*h**3 + 6*h + 3\/11*h**s + 0. Let u(w) = 0. Calculate w.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**9\/68040 + t**8\/30240 - t**7\/11340 - t**6\/3240 + t**4\/6 - 5*t**2. Let h(w) be the second derivative of r(w). Factor h(n).\nAnswer: 2*n*(n - 1)*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44, -2, 21, -6, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*l + 74*l - 45*l)*(-5 + 2 + 0).\nAnswer: 231*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 4\/5*m**5 + 20*m**4 + 29 - 8*m**2 - 272*m + 68*m**3. Let d(g) = 0. Calculate g.\nAnswer: -17, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 + 3352\/25. Let k = 2.55199 - 4.55199. What is the third smallest value in q, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 0.216?\nAnswer: 0.02376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/(-32)*(-1424)\/6. Suppose -2*w - 2*w + 2*j + 350 = 0, -4*j = -4*w + b. Let g = -96 + 125. What is the remainder when w is divided by g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -107, -106?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -102321123?\nAnswer: 102321112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*h - 6*h + 17*h + 6 - 16 + 12.\nAnswer: 55*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 3*c + 1. Let j be m(-3). What is the hundreds digit of 0\/(-1) - (-151)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3, 0.2, -101\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 + 11*r - 3 as n*r + w and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*s + 30 = 0, -5*b + 3*s = -s - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 3*l + 4*l + 11, 3*t + 3*l = 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 664 divided by 17\nAnswer: 664\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e6e06 (base 15) to base 10.\nAnswer: -732156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**4*w + 15481*b**3*w**3 - b**2*w - 2*b*w**2 + 494*w**3 + 7*w**2 wrt b.\nAnswer: 48*b*w + 92886*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*w**3 + 3*w**2 - 5140254*w - 10040112 wrt w?\nAnswer: 6*w**2 + 6*w - 5140254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -437 + 3?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/107? (a) -0.1 (b) 0 (c) 1 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119320741 to the nearest integer?\nAnswer: 10923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110677300798 - 110673359454.99996. Let c = r - 3941278. Let n = c - 65. Round n to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 40, 58, 76?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 9*q**2 + 12*q - 21. Let g be 460\/50 - 9 - 112\/10. Is t(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42470 - -0.06.\nAnswer: -42469.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**5 + 9*a**4 + 10545*a**3 - 1387675*a**2 - 6*a.\nAnswer: 180*a**2 + 216*a + 63270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-143 - -139).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a - 19*a = -42*a - 108 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 808759642 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -546 by -3.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to 0.25361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 41. Suppose -2*o + 74 = -16. Calculate the greatest common factor of c and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Calculate the highest common factor of z and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let k(c) = 1709*c**2. Give k(a(t)).\nAnswer: 1709*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from pcfccfufcfffcpffucc.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 8*f**2 + f - 5. Give y(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let d(x) = 452 + x - 622 + x + 376. Give d(m(b)).\nAnswer: 4*b**2 + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 122, 131, 130, 113, 74?\n\"Answer: -p**3 + p**2 + 13*p + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 22369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 5*g - 2. Let o be q(-4). Let p(y) = 5*y**o + 3*y**2 - 6*y**2. Let t(c) be the third derivative of c**4\/12 + c**2. Calculate t(p(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34210300 (base 5) to base 15.\nAnswer: 60050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7078320*g + 56626565. Calculate q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6487.983 - 6493. Let d = f + 0.017. Which is the third smallest value? (a) -1 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:14 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/4 - 11*h**3\/3 - 25*h**2\/2 - 2*h + 20. Let n be x(-8). Calculate the highest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Suppose 2*p = 3*q - 10, 1 = -2*p + q - f. Factor i**4 - 2*i**2 + 0*i + 2*i**3 + p - i**5 - 2*i + i.\nAnswer: -(i - 1)**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -7, 11, 35, 65, 101?\n\"Answer: 3*n**2 + 3*n - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 48. Let x = -939 + 935. Put p, -4\/7, 5\/33, x in descending order.\nAnswer: 5\/33, -4\/7, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5*(sqrt(228)*2 + sqrt(228)) + (1*sqrt(228) - sqrt(228))*-6))\/((sqrt(576)\/sqrt(3) - (sqrt(48)*2)\/sqrt(4))*2).\nAnswer: -45*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10668596071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b**3 + b**2. Let t be o(-1). Let d be (306\/(-15))\/(2\/t). Is 5\/((-15)\/d) - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5618\/3 - 214\/3*w**2 + 2\/3*w**3 + 5830\/3*w.\nAnswer: 2*(w - 53)**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 + 0 = 0. Suppose -4*v - a = -10. Let c = 10 + -4. Calculate the smallest common multiple of c and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1418050\nAnswer: 1\/283610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-12)\/(-63)*(-3)\/(-2)). Let k(s) = -s**2 - 15*s - 16. Calculate the least common multiple of 55 and k(o).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 12:13 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 - 84. Let u(h) = -v*h + 2*h + 4*h + 13 + 31. What is the remainder when u(-11) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4819777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570860992?\nAnswer: 2, 13, 686131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + 3 - (sqrt(95) - sqrt(95)*2)\/sqrt(5))**2 - ((-6*4*sqrt(76) - sqrt(76)) + sqrt(76))\/sqrt(4).\nAnswer: 85 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -57053162.36?\nAnswer: 57053161.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2. Let h(a) be the second derivative of a**7\/2520 - a**4\/12 - 2*a**3\/3 - 22*a - 2. Let y(j) be the third derivative of h(j). Calculate y(p(b)).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1. Let m(w) = -w. Let v(i) = m(i) + x(i). Let o(h) = -2*h**2 - 6*h - 6. Suppose -21 = -5*q - 16*q. Determine q*o(r) - 6*v(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c - 6*c. Let b(t) = -t**3 - 3*t**2 - t - 1. Let f be b(-3). Put 1, f, c in descending order.\nAnswer: f, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**6 - 388*o**4*q**3 - 7907*o**2*q**3 + 3*o*q**3 wrt o.\nAnswer: -480*o**3 - 9312*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 8. Let d(h) = 3*h**2 - 11*h + 23. Let o(u) = 15*u + 78. Let g be o(-5). What is the lowest common multiple of p and d(g)?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34809\/4 - -8857. Let j = -154 + y. Let h = -30 - -26. Which is the nearest to -0.1? (a) h (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**7\/21 - p**4\/3 + 14*p. What is the third derivative of z(c) wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3) - sqrt(17))*-6 + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 38?\nAnswer: 17\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-12)*-12*(-4)\/120?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59412 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -y - 2150. What is the tens digit of (-3)\/(-30)*-6*y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, -8465\/2, 11, 0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 - 19465*t + 67979340 = 0.\nAnswer: -6116, 2223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*c + 2446, 0 = -4*i - 5*c + 2777 + 505. Suppose -i = -24*q + 22*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60072424 - -60072413.9999964. Let b = -0.08 - 9.92. Let j = b - l. Round j to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -98. Let i = -10 + d. Suppose -4*k - 540 = -4*o, 540 = 4*o - k + 3*k. What is the remainder when o is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y - 4*g = 0, 19 = 4*y - g. Suppose 0 = -y*f + 5*t - 3 - 18, 2*f = -t + 7. Which is the third smallest value? (a) -0.3 (b) f (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n = -4*v - 109, 3*n + 134 = -5*v. Let h = 3 - v. Solve -2*s + 2*i = 8, 6*i - h = -3*s + i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2438 is divided by 57.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59664, -46829, -25444, 4485, 42952?\nAnswer: 89951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -1\/11, 0.1, 4, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-25))\/((-112)\/(-5250)). Which is smaller: f or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.8 - -0.1. Let f = m + -8. Let z = 66 - 64. Which is the biggest value? (a) z (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-1 - -2 - 2). Let f = 0 - i. Solve 0 = w + f + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179926.\nAnswer: 2, 89963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -2\/263, 0?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**3 + 3. Let y(o) = 5*o. What is n(y(d))?\nAnswer: 75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 0 - 222*h**3 + 221*h**3 - h to a + t*h**3 + w*h + k*h**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 10 = 0, -4*r + 8*a - 6 = 3*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2 + 3 - 4 + 2*p**2 + p**2. Let d(q) = q**3 - 3*q**2 + 1. Let r be d(3). Let f be g(r). What is the third smallest value in -2\/3, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 15*g**2 - g**3 - 2*g**2 - 4*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 78 and -5\/5058 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 68?\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 489523 to the power of 1\/2, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 2*h - 12*h**3 + h**3 + 2*h**4 - 4*h**4 - 2 to the form i*h**2 + w*h**3 + b*h**4 + c + d*h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 20, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 11) in base 9?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (45 - 33)*2\/(-4) + (-1 - -9). Let p = 1 - -5. Solve 8 = t*i + p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 601, 600, 599, 598?\n\"Answer: -c + 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 122*m**4\/9 - 24046*m**3\/9 + 1197964*m**2\/9 - 1289288*m\/9 + 38416\/3 = 0.\nAnswer: 6\/61, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 + -35 - -25) + -20?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i + 2. Let l(r) = 2*r + 6. Let c(k) = 4*a(k) - l(k). Let u be c(-5). Solve 3*s - u = -5*n + 5, 5*s = -n - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19086534479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 229673299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 + -127. What is the third derivative of -135*y**2 + 14*y**4 + 164*y**2 + 8*y**g wrt y?\nAnswer: 528*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, 2, -3, 3 in descending order.\nAnswer: 131, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/390 and -93\/104?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*p - 1 = 2, 2*x - 3*p = -7. Suppose -2*t + 8*z + 34 = 6*z, -3*t + 4*z = -51. Let k be (-6)\/(-18)*(-3)\/1. Put k, x, t in descending order.\nAnswer: t, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.123587 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3224511968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(4\/(-6))\/(94\/987)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1135.99 - 14.99. Let g = o - 1120.9999467. Round g to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -189973\/73 and -2601 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 - 508*t**2 + 20879*t - 261. Calculate g(-290).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 23755 = -14*n + 24743 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 2\/1525, -0.91?\nAnswer: 2\/1525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8868 is divided by 4395.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.8 - -1.3. Suppose -2*r + 130 - 1024 = 0. Let w = 9389\/21 + r. What is the smallest value in -0.2, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/5876*(-11388)\/5256\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 + 170. Suppose w = 2*z + 54. Solve 3*j + 7 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76 + -9453?\nAnswer: -9399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/9, -13, -57, -80 in ascending order.\nAnswer: -80, -57, -13, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.936226 minutes to hours.\nAnswer: 0.2989371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 150*x - 151*x + c + 19, 4*c = 59*x - 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 970 - -6007. List the prime factors of i.\nAnswer: 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1464 is divided by 40.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 369*c - 12. Let p(t) = 2*t. Give p(d(y)).\nAnswer: 2*y**2 - 738*y - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1220 - 1212. Solve i = 4 - z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 82*d + 2037 - 3118 = 0 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115 + -70. Let f = -43 + k. Determine g, given that 3*g**4 + 0*g - g + 9*g**f + 0*g**3 - 2*g - 9*g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 158 (b) -17\/6 (c) 0.125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from {z: 3, u: 1, x: 6, i: 4, c: 1, j: 4}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3223 - 3218. Solve n*t = -3*p - 2*p, 2*t - 2*p - 8 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9))\/((-200)\/(-150))*(-1188)\/(-7524)?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13530 divided by 1230\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-3))\/(2*6\/36). Let r(l) = l**3 + 6*l**2 - 5. Let m be r(-6). Sort m, i, 0 in decreasing order.\nAnswer: 0, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.54703 - 3.54703. Let i = 2 - 1.9. Which is the second biggest value? (a) -11 (b) i (c) s (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 2) + -170 + 168?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13891661819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -336 + 351. Calculate the greatest common divisor of 9 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*12\/315)\/((-316)\/395)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83652438 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1332582, -2665182, -3997776, -5330364, -6662946, -7995522?\n\"Answer: 3*x**2 - 1332609*x + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d**3 + 3*d**2 + 4*d + 9. Let t(u) = -5*u**3 + 2*u**2 + 3*u + 8. Let a(q) = 6*l(q) - 7*t(q). What is the tens digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 255.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759435?\nAnswer: 3, 5, 197, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14436 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010277186 rounded to 4 dps?\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.0585984 and 806.3487.\nAnswer: 807.4072984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - -526a?\nAnswer: 5253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -55412.1018 rounded to the nearest ten?\nAnswer: -55410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-20 + 31)) + -9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140*p**2 + 320*p + 75.\nAnswer: -5*(2*p - 5)*(14*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/161 at least as big as 0.0205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3 - 589*u + 737*u - 857*u**2 + 852*u**2 + 308 = 0. Calculate u.\nAnswer: -14, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(324))\/(sqrt(2) + sqrt(2) + 4*2*sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16 - (-18)\/8. Suppose -k*g = 8 - 2. What is the least common multiple of 200\/(-15)*g\/2 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 5 (b) 0.3 (c) -1\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/1276?\nAnswer: -1\/1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 16, -2 in ascending order.\nAnswer: -5, -2, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*2.49\nAnswer: -0.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215155*z + 71734*z + 71711*z + 71706*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 227a9 (base 13) to base 11\nAnswer: 43236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -38. Let z(g) be the second derivative of g**3\/3 + g**2 + 2*g. Determine z(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - s**2 - 4)*(11*s + 213*s + 4*s)*(4*s - s**2 + 0*s**2 + 2*s**2).\nAnswer: -228*s**5 - 912*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9}. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((sqrt(117) + sqrt(117)*2 - sqrt(117)) + sqrt(117))\/sqrt(9)) + -5 + (-5*1*sqrt(1573))**2.\nAnswer: -2*sqrt(13) + 39320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5628101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.63 + -3.03. Let v = u - -0.4. Let b = v + -35. Put 2\/5, 6, -0.4, b in increasing order.\nAnswer: -0.4, 2\/5, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 2*d)*(4 - 2 + 0 + (3 - 2 - 2)*(1 - 5 + 0))*(-4*d + 9 - 13 + 5).\nAnswer: 24*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z - 19*z - 8*z to the form h*z + g and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + m**2 + 1. Let v(r) = 8*r**3 - 8*r**2 - 6. What is -6*f(h) - v(h)?\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-29))**(-43) assuming t is positive.\nAnswer: t**1204","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 - 49*n**2 + 88*n + 17. Let p be v(10). Let s(d) = -10*d**2 - 34*d - 20. Give s(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + q. Let a be k(-2). Is a*(0 + 37\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78416.21 millimeters in meters?\nAnswer: 78.41621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(539) - sqrt(539)*-3))\/(sqrt(36)\/(sqrt(9) - (sqrt(9) - (sqrt(36)\/(sqrt(4)*-2) + sqrt(9))))).\nAnswer: sqrt(5)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 263337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minus 102?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*u - 24424, -3*u - 2*t - 12230 = -4*u. Suppose -13*x = -12829 - u. Suppose 4*a = -2*i + x - 425, 4*i - a - 3004 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*g, -4*s + 51*g - 7789228 = 47*g. What is s rounded to the nearest ten thousand?\nAnswer: -1950000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1535, -10830, -36051, -85160, -166119?\nAnswer: -286890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -165, -313, -521?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 44. What is the second smallest value in 0.1, -4, -5, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhb when three letters picked without replacement from {c: 9, w: 1, h: 1, b: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77330 is divided by 10824?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10450 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + x + 4, 5*x - 1 = -5*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-18) - (-9)\/(81\/(-2)). Suppose 0*h + 4*q + 16 = -2*h, g = -2*h - 3*q - 12. Put -3, -1, h, 5 in descending order.\nAnswer: 5, h, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/17 - 12440132*r\/17 + 19344610522178\/17.\nAnswer: 2*(r - 3110033)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -t + 2*v - 2, 28 = 3*t + 5*v for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 5 (c) -1 (d) 563\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n + 76. Suppose 4*g - 67 = 53. Let o be (-2)\/5 + g\/75. Does 11 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -282*j**2 + 6*j**3 - 60*j**3 + 441*j**3 wrt j.\nAnswer: 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/((-20)\/(-16)) + (22 - 24). Let t(w) be the first derivative of 0*w - 1\/3*w**3 - 1\/2*w**q - 11. Suppose t(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-45) + (-5)\/(-180)*290980. Does 0 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23000)\/6750)\/((-10)\/135)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 196 and 7.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.295 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2891\/344 >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0539086 - 4\nAnswer: -4.0539086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 16*o**2 + 9. Let t be u(16). Solve 4*q = q + t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Suppose -v + 3 = -l. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:28 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-1 - -8) - (8 - (11 + -3)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p. Let u be -2*6\/15 + 552\/115. Solve 4*z + u = -p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqa when three letters picked without replacement from {r: 1, t: 9, q: 2, a: 1, u: 6}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2 + 1263*k - 1077?\nAnswer: 2*k + 1263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680 by -340.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 - 157*k**2 - 6244*k - 6084. Let m(o) = -11*o**3 - 314*o**2 - 12489*o - 12168. Let n(d) = -4*m(d) + 9*q(d). Let n(p) = 0. Calculate p.\nAnswer: -78, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*k - 288, -3*t - 103 = 5*k + 113. Is t\/(-90)*(-62)\/(-4)*5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let k(x) = 3*x - 1. Let l(n) = 832*n - 288. Let v(p) = -576*k(p) + 2*l(p). Give q(v(t)).\nAnswer: 128*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -318, -479, -640, -801, -962?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i**4 + 6*i**3 + 10*i**2 - 6*i. Let s(a) = a**4 - a**3 - a**2 + a. Let j(d) = -6*s(d) - w(d). Find the third derivative of j(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 c when four letters picked without replacement from {t: 4, l: 3, a: 2, p: 1, c: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1213 - 1210. Let s(g) = g**3 - 2*g**2 - 2*g. Determine s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 + 21. Let a = -5.53 - t. Round a to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*f - 5*v, 3*v - 2*v = -5*f - 45. Let x(o) = -o**3 + 4*o**2 + 4*o + 2. What is the remainder when (-100)\/(-2) + (-18)\/f is divided by x(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -13.358, 2509?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 16328 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -148725201?\nAnswer: -148725206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/49? (a) 0.06 (b) 1 (c) -2 (d) -0.0817\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a factor of 18720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - -5. Suppose -j - 6 + 7 = 0. Let t be j\/(-4) + 1001\/u. Solve 5*v - 1 = t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 169*q - 3372. Give p(145).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 233*s - 230*s. Solve s = 6*c - 5*c + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*p = 11950, -1799 - 1186 = -f - 2*p. Is 103 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 21, 2\/25, 4\/5?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20045 and 21109.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000005054 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1331) - (sqrt(11)*-3*4 - sqrt(11)).\nAnswer: 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 111*f - 559. Let d be m(5). Let l be ((-21)\/(-56))\/((-1)\/d). Determine v, given that -l*v**2 - 6 - 6*v = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7752 is divided by 2051.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -1011011?\nAnswer: -1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 39 = 2*o. Let q = -5 + o. Calculate the greatest common divisor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -344, -402, -434, -404, -276, -14, 418?\n\"Answer: 6*o**3 - 23*o**2 - 31*o - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188445204 a multiple of 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3 (b) 0.04 (c) 0.02 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 2. Is 25 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 12*a - 10. Let x be j(11). Is 2\/5 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5336 divided by -2.\nAnswer: -2668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7941, -14011, -18211, -20541, -21001?\n\"Answer: 935*s**2 - 8875*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k + 3*a - 4*a, -a + 4 = 2*k. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -177?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93\/130 - 3\/26. Suppose -2*w = w + 15. What is the nearest to -2 in w, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5400\/43 or 125?\nAnswer: 5400\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5*n + 30, -2*k - 5*n - 2 = -5*k. Suppose 6*t - 7*t = k. Let a be 30\/26 + (-7)\/(-18 + 25). What is the biggest value in t, -0.3, a, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r + 147*r - 13090 = 357*r for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/24 - (-3)\/4. Is 19 a factor of (3\/c)\/(2\/76)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 + -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwwwwllllwlwwwlwwl. Give prob of sequence llw.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*sqrt(112)*-1 + -5))**2.\nAnswer: -5760*sqrt(7) + 65412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 119930624 + 30109*i - 119930624 + (0 - 2 + 1)*(-4*i + 4*i + 2*i) - 2*i - 3*i + 3*i - 4*i - 2*i + 4*i + i - 3*i + 0*i + i + 2 - 2.\nAnswer: 30102*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 1. Let o(r) = r**2 - 10*r - 13. Let z(a) = -o(a) + 2*x(a). Let m be z(-9). Solve 3*n - m = c, -4*n + 7 = -2*c + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhsssh. Give prob of picking 3 s.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 705, 1057, 1409?\nAnswer: 1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 8.84. Let d = 2.24 + -2. Let i = d - f. Which is the closest to 2\/3? (a) i (b) -0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7124245333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2 + 1945*p + 84059. What is q(689)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*w**5 - 8*w**4 + 14*w**2 - 36381*w.\nAnswer: -1140*w**3 - 96*w**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 11 = -4*f, -4*t + 9*t = -2*f + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3*f + 2 + 1, 5*a + f + 1 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*q = 0, 5*f - 60 = -0*f + 5*q. Let o(z) = z**3 - 7*z**2 - 9*z + 8. Calculate o(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23408903 to the power of 1\/2, to the nearest integer?\nAnswer: 4838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 25*t + 62. Let f be l(29). Suppose 0*q = -6*q + f. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22116443 or 22116448?\nAnswer: 22116448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -116162, 1\/4, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 13*v**2 - 326*v - 3324. What is q(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 15*a**2 + 15*a + 9. Let s be g(16). Let r(o) = 5*o + 37. Let t be r(s). Suppose -61 = -t*i + 43. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o + 4*o + 2*o + 2*o**2. Let p(c) be the first derivative of -11*c**4\/12 - 31*c**2\/2 + 14. Let q(s) be the second derivative of p(s). Give h(q(l)).\nAnswer: 968*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 17917, 8, -5 in decreasing order.\nAnswer: 17917, 8, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -1, 0.09, -2.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from ljltldb.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17547 (base 14) in base 10?\nAnswer: 58667","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 7*t**2 + 6*t - 10. Let d = 774 + -752. What is the remainder when d is divided by i(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58491, -58489, -58487?\n\"Answer: 2*x - 58493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 3*c - 4, 7*c = -2*h + 2*c - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 22*s - 10*h = h + 163, -7 = -4*s - h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 7*i**2 + 2*i - 9. Let v be f(-4). Calculate the greatest common divisor of 93 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.14, 19691470?\nAnswer: 19691470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 7*l - 16. Let w be o(13). List the prime factors of (-90)\/(w\/(-20) - 5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -2 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 7*o**5\/40 + 11*o**3\/3 - 6. Let q(l) be the third derivative of t(l). Let i(j) = 2*j**2. Determine i(q(f)).\nAnswer: 882*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(75) - (-1 + sqrt(75)))*-6)**2 + (sqrt(75)*1*-2)**2.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15309 in 3, 1, -1\/3, 0.3, 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10273, 10272, 10271?\n\"Answer: -i + 10274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 0)\/(4 + -2). What is the third smallest value in -2, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8154)\/546318)\/((-2)\/8*-2)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhmgmgtqhmtqgh. What is prob of picking 2 t, 1 q, and 1 m?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -790480 divided by 4.\nAnswer: -197620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.34, 4\/3, 5, -290\/3 in ascending order.\nAnswer: -290\/3, -1.34, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - d + 3. Let u be 24\/14 - 2\/(-7). Let j(b) = -2*b - 1 + b**2 - 2*b**u + b. Let w(i) = -3*j(i) - q(i). Find t, given that w(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.4 and -58.\nAnswer: -197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a = 4*o + 51*a - 560, 418 = 3*o + a. What is the remainder when 1527 is divided by o?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3) + -5 + (-2 - -4 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.35? (a) 0.4 (b) 3 (c) -9 (d) -143.6 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3) + (-12 + 4 - -6) + -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000026417 rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-2)*-2)\/(416\/(-624))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-44)\/16 + 2)*-8. Suppose 0 = 3*g + x*o - 9*o - 21, 4*o = -2*g + 2. Sort -3, g, -11 in descending order.\nAnswer: g, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 12274*i - 61502. Give v(5).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 17*d + 4. Let c be l(8). Suppose 0*h - 4*h = -c. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 + -165.5. Let y = -7.16 - -0.16. Let h = y - d. Is h less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197724276?\nAnswer: 2, 3, 359, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0 + 0 + (2 + 1 - 4)*(-4*p + 5*p + p))*(-38 - 37*p + 38).\nAnswer: 148*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-4)*u*u)\/u)\/(u**(5\/4)*u)*(u\/u**(-1))**2)\/((u*u**1\/u*u)**(21\/8)\/(u**(-1)\/u*u*u)**(12\/7)) assuming u is positive.\nAnswer: u**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4) - (-35 + 37)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12598, -100397, -338718, -802825, -1567982, -2709453, -4302502?\nAnswer: -6422393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Let q(g) = -6*g - 4 + 1 - 7*g**3 + g - 2*g**i - 4*g. Let v(h) = -4*h**3 - h**2 - 5*h - 2. Let m(l) = 3*q(l) - 5*v(l). Give m(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - 1. Let l = -18 - g. Let p(f) = -f + 1. Let o be p(l). Solve 4*t + 4*a = 0, -3*t + o*t - 4*a = 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + sqrt(242) + 0 + 0)**2.\nAnswer: 66*sqrt(2) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**3\/6 - 9*b**2\/2 - 11*b - 4. Calculate f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 0 - 20. Let m(f) = -82*f + 7876. Let r be m(96). Solve 4*k + h*i = 0, -2*i + 4*i - 12 = -r*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t + 15586994 = 310221. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - u + 0*u)*(2 + 1 - 4)*(5 - 6 + 4) + 0*u + 2*u - u + 4*u - u - u + (-2 + 2 - 1)*(2 - 2 + u) - u + 3*u + 0*u to a*u + k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 14, d: 4}. What is prob of picking 1 r and 1 d?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -7. List the prime factors of -1*(-1)\/(1\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6270)\/(-10200) + (-16)\/1088?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17915.43 - 17891. What is t rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, -334, -1126, -2672, -5224, -9034, -14354, -21436?\n\"Answer: -42*z**3 + z**2 + z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -145, -382, -783, -1402, -2293?\nAnswer: -3510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14219291 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 6. Let i(b) = 1. Let t be (-1)\/(-3) + (-14)\/(-21). Let u be (-9)\/(-2) + 2\/4. Determine t*y(o) + u*i(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.259 * -1.3\nAnswer: 0.3367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 9 = -19. Let r(l) = l**3 + 4*l**2 - 9*l - 25. Let g be r(-5). Let i = g - z. Calculate the smallest common multiple of i and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 122 + 1 + 5 + -4. Let c = w - 86. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 19*s**2 + s - 2. Let y = -1080 + 1099. Suppose -4*h + 301 = -235. What is the remainder when h is divided by u(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1. Let j(l) = -l**2 + l - 5. Let f(u) = j(u) - 5*v(u). Let o(n) = 3*n**2 + 1. Let p(k) = 2*f(k) + o(k). Give p(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/12 + (-3540)\/8. Suppose -8*q = 578 + 2998. Let l = q - h. Do -4 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29025 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2116268, -2116277, -2116286, -2116295, -2116304?\n\"Answer: -9*n - 2116259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2221 + -2166. Solve -y = 9*q - 19 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k. Let o(l) = 44*l + 9. Let h(t) = -11*t - 2. Let r(d) = -9*h(d) - 2*o(d). Calculate r(n(b)).\nAnswer: 77*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1664990699?\nAnswer: 977, 1704187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1682805302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101013 - -231032132?\nAnswer: 230331113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*g - 31*g = 14168. What is the highest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 - 5*n + 5*n - 45*n**2 as c*n + f + t*n**2 and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 2. Let g(i) = -1. Let d(f) = 3*g(f) - h(f). Let m be (2 - (-7)\/(-2))*(-4)\/3. Let o be d(m). Are -4 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*k**2 - 21*k**2 + 17*k**2 - 3*k**2 + k**2 + 4*k**2 + (2 - 2 + k**2)*(-3 + 6 - 2) + 13*k + 2 - 32*k + 17*k - 29*k**2.\nAnswer: -65*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 204816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:45 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101111111000 (base 2) to base 16.\nAnswer: 2bf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-36))\/(2\/12). Suppose -12 = -5*x + 2*v, -4*x = -k*v + 3*v - 20. What is the second derivative of -3*q - x*q - 141*q**2 + 147*q**2 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452707151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 11) to base 14\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 23) + 66 + -49.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22224516 to the power of 1\/2, to the nearest integer?\nAnswer: 4714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6337 + -6337. Solve -5*j = -5*y + 5, h*j - 5*j - 2*y = -9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63889 - 2683187\/42. Calculate the common denominator of u and 15\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -10*j + 187303 - 187111, -5*j + 93 = -c for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**8\/20160 + s**7\/720 - s**6\/120 + 49*s**5\/60 + s**2 + 24*s. Let u(o) be the third derivative of d(o). Give u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 minutes after 9:00 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1649321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**4 + 5*c**4 - c**3 + 3 - c**2 + 3*c**4 as a*c**4 + h + y*c**2 + z*c**3 + g*c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 435 and 529711097.\nAnswer: 529711532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/1287 and -16\/38310415?\nAnswer: 344793735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -45*s + 2290. Let v be w(51). Let x(u) = 5 + u + 7*u - 8 - 3*u. Let y(k) = -3*k + 2. What is v*x(j) - 8*y(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5))**(19\/3)*(s\/((s**(-1)\/s)\/s))\/((s\/s**(1\/15))\/s) assuming s is positive.\nAnswer: s**(118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 6*b**2 + b + 8. Let a be p(-6). Suppose 5*u - 23 = -a*i, -3*i + 0*u - 3 = -5*u. Is 12\/8 + 142\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -326 and 0.0526009.\nAnswer: -17.1478934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/136810 and -50\/177853?\nAnswer: 1778530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 11*o**2 - 16*o - 6. Let u(z) = -z**3 + z - 1. Let s(w) = -f(w) - u(w). Let g be s(-12). Let m = g + 45. Is m at least 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (sqrt(400)\/sqrt(8) - (sqrt(288) + -3))).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/61, -51063, -1, -0.3, 0 in descending order.\nAnswer: 2\/61, 0, -0.3, -1, -51063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107682 is divided by 2395?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 260, 663, 1068, 1475?\n\"Answer: r**2 + 400*r - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25562.28 millennia to centuries.\nAnswer: 255622.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 1. Let u(r) = r**2 - 16*r + 18. Let g(t) = 4*n(t) - u(t). Is g(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**5 + s**3 + s**2 - 1. Let c(q) = 6*q**5 - 42*q**3 - 8*q**2 - 186*q + 8. Let b(o) = c(o) + 8*n(o). What is the second derivative of b(k) wrt k?\nAnswer: -40*k**3 - 204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 8 = -2*n - 18, -4*n + 5*d = 10. Let t = 0 + 1. Let h(a) = -a + 3. Let m be h(7). Sort n, m, t.\nAnswer: m, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6491379041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 2. Let a = -21 - -28. What is the lowest common multiple of a and f(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 4:51 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*i**2 - 18*i**2 - 36*i - 16*i**2 + 4*i.\nAnswer: 3*i**2 - 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, c: 8, y: 4, i: 4}. What is prob of sequence cccc?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*y**2 - 64*y**2 + 2*y**5 - y + (y - 3*y + 0*y)*(y**4 + 0*y**4 + y**4).\nAnswer: -2*y**5 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/14*(-24)\/4. Let n = 0.8 + -1. Which is the closest to 3? (a) n (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2. Let n(w) = 11*w**2 - 15*w**2 + 20*w**2 + 22*w**2. Determine n(t(r)).\nAnswer: 152*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 6:47 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6279252 divided by -35476\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 12:13 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n + 3*j - 4*j, -5*n = 5*j - 30. Suppose 0 = -9*s + 2*s + 35. What is the remainder when n is divided by s - (2 + 2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8056 divided by 34?\nAnswer: -4028\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52338043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = -6. Let o be (25\/(-15) - -1)\/(8\/(-36)). Suppose o*j - q = w*q + 40, j = -4*q - 8. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 904 + 25.6046762?\nAnswer: 929.6046762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/4 + 2\/112*-33 and 59\/77.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3480.32 milligrams?\nAnswer: 3.48032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 4. Let d(j) = 4*j**2 + 6*j + 8. Let x(y) = -3*y**2 - 5*y - 7. Suppose 0 = -5*q - 5*k - 47 + 2, -3*q - 5*k - 35 = 0. What is q*d(s) + r*x(s)?\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 2*n**5\/15 + 3*n**4\/8 + 7*n**3\/6 + 100*n**2 - n. Let t be a(-1). Let -2\/3*c**2 + 4*c - t = 0. Calculate c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 at least 405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -q + 2. Let h be (-1)\/(2 + q\/(-6)). Let g be ((-9)\/h)\/1 + -2. Solve i = -0*i + g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 6*o - 20. Suppose -4*c + 3*f + 38 = 0, 4*c = -0*f + 4*f + 40. Solve o*b = -c + 23 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -121.1325.\nAnswer: -121.6325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54310547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + -3.95. Let z = 2 + p. Sort -2\/13, 0, z.\nAnswer: z, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -662, -765, -876, -1019, -1218?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -42*j**2. Let l(i) = -1805641*i**2. What is k(l(g))?\nAnswer: -136934255677002*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 - 8 = x, 3*x + 15 = -5*a for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(2057)*3 - (sqrt(816)\/sqrt(3) - (sqrt(187)\/sqrt(176))**2).\nAnswer: -136*sqrt(17) + 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 1, n: 4, v: 3, y: 2}. Give prob of picking 1 n, 2 v, and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460291 to the power of 1\/2, to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 - b + 93 + 32*b**2 as u*b**2 + i + q*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 + 24*h + 8. Suppose 5*p + 6 = 4*t, 2*p + 2*t - 6 = 6. Suppose 3*m + p*m = 105. What is the remainder when m is divided by z(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {p: 1, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 divided by -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 183? (a) -0.2 (b) -0.05 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187 + 89 + 94 - 549*w.\nAnswer: -549*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26148825 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321 + 29. Calculate the greatest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3463376.\nAnswer: 2, 7, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/2*(-6)\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/5964 and 43\/67536.\nAnswer: 4795056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Suppose -6 = -s + p*u, 0*s - 10 = -3*s + 4*u. Suppose 3*d - s*w = 5 - 0, 0 = 2*d - w - 4. Solve 6*t = t, -d*b - t = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 17*z + 7. Let t(x) = -162*x - 66. Let q(i) = 48*m(i) + 5*t(i). What is the tens digit of q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -4 (c) -1222770\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -42567 (c) -1 (d) -1.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30080 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -50. Calculate the remainder when 85 is divided by (l\/(-35))\/((-1)\/55).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 55*k - 171. Let a be z(-3). What is the closest to -1 in 0.2, -4, a, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -330, -1.86, 4?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-4))\/((-15)\/20). Let p be ((-22)\/x)\/(1\/(-6)). Let f = -15 + p. Solve f = -v + 4*t, 5 = -3*v + 4*t - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82.76 - -80.76. Let f = 30 - 30. Which is the nearest to -0.1? (a) -19 (b) m (c) f (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1307, -5, 5, -2, 4.\nAnswer: -1307, -5, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.052*2.2697\nAnswer: 0.1180244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 1. Let n(q) = 13*q**2 + q + 2. Let j(u) = n(u) + 2*p(u). What is the tens digit of j(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/545792 and 19\/4264?\nAnswer: 545792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 631241 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1347 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.3. Let f = -29.4 + 29. Let g = f - h. Is 2\/5 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - 2*o + 4 - 3*o**4 - 2 + 2*o**4 + 34*o to the form q*o**4 + y*o + p*o**3 + d + l*o**2 and give y.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -340\/229 > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -1337119961?\nAnswer: -1337119961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5244 less than 0.09?\nAnswer: 5244.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 1:09 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29086 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (229968\/(-60686))\/(12\/(-171)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(1296)*-3) - ((sqrt(96)*2)\/sqrt(12) + (sqrt(24)*1)\/sqrt(3))) + -4.\nAnswer: -109*sqrt(2)\/18 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4 + 9*b**2 + 3 - 2*b**2 - 3*b**2 + b. Let q(u) = -5 + 13*u**2 + 3*u + 4 - 2. Let w(c) = -2*q(c) + 7*s(c). Calculate w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-2 + -2)*1. Suppose -d - 13 = 4*l, 0 = -4*d - 4*l - 11 + h. Solve y = d*y + 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 - -2029. Suppose 3*c + 1170 = -3*p + 6*p, -3*c = 5*p - k. Does 49 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -13*g**2 - 775*g + 3. Let k(b) = 549*b. Determine k(a(t)).\nAnswer: -7137*t**2 - 425475*t + 1647","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 505404 divided by -834.\nAnswer: -606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Let m(x) = 5*x + 4. Let w(t) = m(t) - 5*o(t). What is the derivative of w(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 14256*w - 3. Let y(f) = 5*f. Calculate y(j(g)).\nAnswer: -5*g**2 - 71280*g - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 2*g - 2. Let b be (-1)\/((4 + -3)\/2). Determine w(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479848791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.94 - -0.57. Let r = x + 0.4. Let h = -449305 - -449309. What is the fourth biggest value in r, -0.1, 4\/5, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - 51 - (-1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346*-11069.\nAnswer: 3829874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-21)\/14 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*p**3 - 13*p**4 + 86*p**3 + 4*p**2 - 4 + 1 to u*p**4 + q + n*p + i*p**3 + m*p**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-136 - -11 - -1)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 - 7*j - 8. Let h(o) = -6*o**2 - 15*o - 17. Let f = -18 - -17. Let g be (-1 - -5) + -9 + f. What is g*h(d) + 13*s(d)?\nAnswer: -3*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(2\/(-6))\/(49\/(-49))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43682 - 43680. Factor -x*y**2 - 1\/2*y**3 + 1\/2*y + 2.\nAnswer: -(y - 1)*(y + 1)*(y + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m + 111 - 111 to the form w + j*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9 + (-16)\/(-252).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 36*y**2. Let r(x) = -2. Let k(p) be the third derivative of p**4\/24 - p**3\/6 + 23*p**2. Let d(i) = -2*k(i) + r(i). Give f(d(o)).\nAnswer: 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10.8088 times 15\nAnswer: -162.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021111 (base 4) to base 8.\nAnswer: 41125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-14)\/i**22*(i*i**(1\/10))**(-24) assuming i is positive.\nAnswer: i**(-312\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30697 + -30759. Which is the third biggest value? (a) 1 (b) -1.64 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2137 - 2137 - 15*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -3\/100*i**5 - 9\/10*i**2 - 74*i + 0 + 1\/10*i**3 + 3\/20*i**4. Find y, given that f(y) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/10 - (2\/10 + 0). What is the closest to 0 in w, 1\/2, 209?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2029*v + 748. What are the prime factors of m(6)?\nAnswer: 2, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.002905ng to kilograms.\nAnswer: 0.000000000001002905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3463*x = 3430*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942456?\nAnswer: 2, 3, 107, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*1*(-285)\/10. Let s = g - -586. Suppose -4*c + s = 4*x, -165 = -3*c - 5*x + 16. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1747 and 444554006?\nAnswer: 444552259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/4)\/(37\/1702))\/((-108)\/324).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20880 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187520623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 78\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 at least as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*q - 88 = -330*q. Let f(w) = -6*w**3 + 2*w**2 - 2*w. Let v(u) = -5*u**3 + u**2 - u. Suppose 0 = -0*h - h - 3. Give h*f(x) + q*v(x).\nAnswer: -2*x**3 - 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 7 - 6 - (-8 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + (7 - (-51 - -41)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26250, 52475, 78700, 104925?\nAnswer: 131150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 15*z - 8. Let m be t(-16). Let y = m - 9. Which is greater: y or -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 6*r**5\/5 + 8*r - 13. Differentiate t(h) wrt h.\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 133, 266, 473, 766, 1157?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 7810 and 23428\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 2*t**2 - 1. Let n be s(-1). Let g be 114\/22 - (-8)\/(-44). Suppose 0*v + g*v = -15. Which is greater: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**3*r - 81*g**3 + 1685058*g**2*r + g**2 - g*r - 4*g - 2*r - 19753 wrt r?\nAnswer: -2*g**3 + 1685058*g**2 - g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 5, -696 in decreasing order.\nAnswer: 5, 1, -12, -696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/25410 and -34\/162575?\nAnswer: 118029450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 143.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1354*k - 177816. Calculate n(131).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*o - 2 = y, -2*o + 652 = -y + 644 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 90. What is the units digit of ((-12)\/18)\/((-3)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5402*t + 5401*t - 13 = 0, -4*z = -7*z - 8*t - 26 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 - (-2 + -30 + 3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 57?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 8 - 3*y**3 + 2 - 2*y**2 + y**3 in the form h*y**3 + w*y**2 + d + c*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 - 3125*r + 12580 = 0.\nAnswer: -629, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128367 is divided by 1715.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (2*(sqrt(432) - sqrt(432)*-2))**2 + (5 + sqrt(432)*2 - sqrt(432)).\nAnswer: 24*sqrt(3) + 15557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 5*t + 5*j, 210795*t - 210797*t + 12*j - 208 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 11*y = 0. Is y at most as big as 2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1153 - -76. Suppose 11*p - n = 366. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 5*j - 1. Let m be (-2)\/3*(-2 - -5). Let x be (-126)\/(-154) - 4\/(-22). Let z = x - m. What is h(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-22)\/r)*r*r**(-8\/7) assuming r is positive.\nAnswer: r**(167\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 4*c**2 + 7*c**2 - c**2 + 5*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14875 divided by -2975?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose -7 - 5 = -k*f. Suppose 2*u - 16 = 4*g, g = f*u - g - 14. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280337 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/608 and -131\/11628.\nAnswer: 93024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + 19\/7. Let u be (s\/9)\/(4\/24). Solve 4 - u = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.02, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 496 and 124?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13aa9 + 8a60?\nAnswer: -6049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119)*1)\/(-5*(sqrt(112) - sqrt(7))) + -2)*-5.\nAnswer: 2*sqrt(17)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.93298 to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 7. Let p be n(3). Suppose -p*m - 42 = -2*u, 5*u + 0*m = -m + 50. 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 d in -108*d**2 - 301*d - 300 + 95*d**2 + 12*d**2 = 0?\nAnswer: -300, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 4 - 5)*(-4 + 1 - 2) + (-2 + 1 + 3)*(4 - 5 + 2))*(-184 - 158*n + 184) as c + p*n and give p.\nAnswer: -1896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z - 12*z**2 + 17*z**2 - 4*z**2.\nAnswer: z**2 + 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 5)*(-2)\/(-4). Let b be (-2)\/i + (-299)\/2. Round b to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-202504.\nAnswer: 1012520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 19*i**3 + 2*i**2 + 5*i - 9. Let d be 10\/(-20)*(-9 + 1). Let q be v(d). Is ((-2)\/(2\/q))\/(49 - 50) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0801161 milligrams?\nAnswer: 0.0000000801161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -889789.412389 take away 41?\nAnswer: -889830.412389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, d: 4, f: 1}. What is prob of picking 1 f, 2 x, and 1 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 940*v + 12030. Calculate y(-13).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 190?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12 - 30 - z + 17 + z**2. Let v be s(-2). Solve -3*b + 31 = 5*l, -v*b + 4*l - 15 = -l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 206, -4, 2, 44683 in decreasing order.\nAnswer: 44683, 206, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((30\/(-6))\/5)\/((-4)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34289 and 2227.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 3:28 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 815697 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.828 + -1.79. Let u = r + -0.038. What is the closest to u in -0.09, -2\/19, -0.5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2 + -33?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890490185?\nAnswer: 5, 13, 131, 104579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 49 - (-26 + 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14527036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/2 (b) 0 (c) -5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = -3*j, 8 = 2*l + 3*j. What is the least common multiple of l and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkt when three letters picked without replacement from {x: 1, k: 11, z: 1, t: 4}.\nAnswer: 11\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/7290 and 41\/3036690?\nAnswer: 27330210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4\/4 + 15*r**3\/2 - 56*r**2 - 15*r\/2 + 225\/4 = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/4 - w**3\/4 - 3*w**2 = 0 for w.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13 - 4 = -f, 4*j + 3*f - 5 = 0. Solve -5*i + 12 = o, -o = -5*i + 6 + j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*w - 12, -2*m - 6 = -2*w - w. Solve -3*l + 6 - 3 = w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**5\/120 + g**4\/12 + 5*g**3\/3 + 16. Let b(t) be the third derivative of w(t). Determine b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0273+-358452703786\nAnswer: -358452703785.9727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 10. Let v be y(11). Let c(w) = -1. Let h(p) = -p. Let n(l) = -c(l) - 3*h(l). Let r be n(-2). Sort 5, r, v, 2 in descending order.\nAnswer: 5, 2, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -23*a**3 + 6*a**2 + 36*a + 39. Let x be c(13). Round x to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l - 2*l + 2*l + l. Let j = -227 - -230. Calculate f(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -385*t**4\/12 - 33*t**2\/2 + 177*t. Let k(d) = -24*d**2 - 2. Give 33*k(w) - 2*s(w).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.015 and -93090 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 0)*6\/(-3 + -9). Let s(j) = 13*j**3 - j**2 - j + 1. What is s(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976468 divided by 2?\nAnswer: 488234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/3567 and -14.\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 4*v**2 - 19*v - 16. What is the hundreds digit of g(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = j + j. Suppose -3*p - j = -56. Let y = p + 79. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 72.65702 kilograms?\nAnswer: 72657020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.03784 nanometers to meters.\nAnswer: 0.00000007403784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.54 - -0.04. Let x = -1.8 - -2. Let z be 3\/((-9)\/2) + 26\/(-6). Which is the closest to x? (a) z (b) v (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 + ((-37 - (34 - 40)) + 23 - (1 + 2))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -4, -10?\n\"Answer: -6*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 93.34187 tonnes?\nAnswer: 93341870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1192 and 17030700.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or -2\/25?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of -293*z**6\/12 + 303*z**4\/2 + 266*z**2. Find the second derivative of o(s) wrt s.\nAnswer: -17580*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 136 - 16. Is 3 a factor of (-6)\/i*10 - -66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000054925 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - g + 18 = -2*g, -5*u - 5*g = -10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ye when two letters picked without replacement from ppeyppppppp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -21\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-5*c - 10*c - 26*c)*(3 + 0 + 1)*(-1 - 2 + 1).\nAnswer: 656*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 69 (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*m = 255*m + 12. Let u(w) be the first derivative of -m + 2*w**3 + 0*w - 27\/4*w**4 + 0*w**2. Determine x, given that u(x) = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r + 12 = 0, -2*h = 4*r + 6. Let n = 2 + -4. What is the biggest value in 0.5, h, n, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2648, 2406, 2014, 1478, 804?\n\"Answer: t**3 - 81*t**2 - 6*t + 2734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: a7744 (base 14) to base 4\nAnswer: 1202311000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c = -4*y - 2, c + y = 0. Let r(h) = 2*h**3 + 2*h**2 + 1. Let f be r(c). Let o = f + -18. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1903.3 - -1903. What is the biggest value in -0.4, -69, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 9*a - 6, -5*s + 28 = 2*a. Solve -5*c - 5*r + 15 = 0, -3*c - s*r - 3 = -11*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183\/8 + 23. Let x be -3*(0 + (-8)\/(-6)). What is the third biggest value in x, i, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 637 - 1909\/3. Find s such that -1\/3 + 0*s**2 - 2\/3*s + 1\/3*s**4 + q*s**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/3 + 1 + -1. Let x be -1*(3 - 0) + (4 - -14). Let s = 7 + x. What is the highest common divisor of a and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*v = 20 - 1798 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 2105. Calculate the remainder when k is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -26. Let m = 56 - 30. Let t = m - 13. Solve -2*z = -t + n for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 1 + 7 + 26.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -11. Calculate the least common multiple of w and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 8*m - 12 = 0, 3*m - 4*m = 22*l - 24*l + 2*m - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*t)*(3*t**2 - 3*t**2 + 5*t**2)*(-7*t + 3*t + 3*t).\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/5*g**2 + 1\/5*g**3 - 9\/5 + 3*g.\nAnswer: (g - 3)**2*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 66 + 549*u**3 - 2125*u**3 - 34 to r*u + s + j*u**3 + o*u**2 and give j.\nAnswer: -1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x - 7. What is l(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o - 2*o)*(-o**2 - o**2 + 0*o**2) + 3*o**3 - 3*o**3 + o**3 + 4*o**3 - o**3 - o**3 - 3*o**3 + 3*o**3 + 2*o**3 - o**3 - o**3 - 3*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 2*i + 13*i + 5*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -78, -114, -148?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a. Let w(u) = 177*u. Let v(d) = -33*q(d) - 2*w(d). Let s(m) = m - 2. Let n(j) = -4*j + 7. Let o(l) = 2*n(l) + 7*s(l). Calculate v(o(y)).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -36*g + 10. Calculate the remainder when p(-2) is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 224, 442, 658, 872?\n\"Answer: -l**2 + 221*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2*33\/(1221\/185)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167488 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 9*r = 30. What is the highest common factor of 9 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6196160 = -84*o + 373*o. List the prime factors of o.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 - 17*p - 10. Determine g(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**3 - 1310*b**2 - 649*b + 1406. Give q(-327).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.3 (b) 5 (c) 2\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27 - 1557*h + 772*h + 786*h + 905*h**2 wrt h.\nAnswer: 1810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -16. Suppose -48 = 6*j - 18. Which is bigger: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = 4*u - 429. Let h be (-64)\/(-10) - (-2)\/(-5). Find the common denominator of (-108)\/u - 3\/h and -1\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 12:06 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6077.\nAnswer: 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 467\/4 + -117. Which is the nearest to 3? (a) n (b) 1.8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 74. Let d(b) = 5*b**3 + b**2 + 2*b - 1. What is the remainder when d(o) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7 = -4*o, 6*o + 15 = 9*o + h. Let f(m) = -12*m + 41. Let z be f(o). Let x(t) = -t - 4. Calculate x(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26097.71 to the nearest 10.\nAnswer: -26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 19?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 2*i**2 + 456. Let m(q) = 655*q - 1. Give w(m(k)).\nAnswer: 2620*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002538584 a multiple of 1707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278464259 to the nearest integer?\nAnswer: 16687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*p + 8. Let z be 1*-4 - 27\/((-432)\/64). Solve -p*b - 2 + z = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let k = 1.6 - x. Let w = -0.1 + k. What is the third smallest value in 3, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 6 + 6. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 1. Let w(y) be the first derivative of 5*y**2\/2 - 4*y + 2. Calculate -12*g(o) + 3*w(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.0459 hours in minutes?\nAnswer: 3842.754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 290 - 314 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 13*r**2 - 13*r - 10. Let f = -123 - -74. Let n = f - -63. Let t be m(n). Solve x + t*x + 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 f when four letters picked without replacement from ssssjjyyyssysf.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341584010 and 2075.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -31 - ((36 - 55) + 16 + 3).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3980827.\nAnswer: 3980827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27958 is divided by 6985?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416778632.\nAnswer: 2, 31, 277, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 8. Let h be s(6). Let c be (-1)\/(h\/2) - -1. Suppose -3*f + 6 = q + 3, -c*q + 1 = f. Solve q = -z + 3*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (1 - 1)) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 4\/7, -13\/15, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzjzjz. What is prob of sequence jjj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177974 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (92\/(-1150))\/(2\/5). Put -2, -0.3, y in decreasing order.\nAnswer: y, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5508935, -0.22, -0.2 in ascending order.\nAnswer: -5508935, -0.22, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -95*t**4 - 10345*t**3 + 598070*t**2 - 3701720*t + 383040 = 0.\nAnswer: -152, 2\/19, 7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*2 + 5 + 0 + sqrt(17) + -2.\nAnswer: 3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 8*y**2 + 5*y - 10. Let c be h(-7). Suppose 4*x = i - 1 - 13, 2*x + 16 = -4*i. Does 11 divide (-22)\/c*(x + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 + 2527385*t**4 + 2527405*t**3 - 7582145*t**2 - 12636940*t - 5054780 = 0.\nAnswer: -1, 2, 505478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -3212.\nAnswer: -1284.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-50))\/((-43)\/(6450\/20)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1773*z + 80 = -1757*z. Solve z*m = 155 - 180 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/55920 and -109\/67104.\nAnswer: 335520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.260025 to three dps.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62070 divided by 30.\nAnswer: -2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffziffszicccizczcffz. Give prob of picking 1 i, 1 c, and 1 z.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) -2\/9 (b) 1\/53 (c) -0.4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9042 (base 16) to base 14\nAnswer: d65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(4) + 2 + (sqrt(11) - (sqrt(11)*-1 - sqrt(11))))**2 - (sqrt(121) - (sqrt(121) + 1*sqrt(121)*-4) - sqrt(121))\/sqrt(11).\nAnswer: 21*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 8, -3, 4 in ascending order.\nAnswer: -3, 4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 2*p**2 + 3. Let y(q) = -q**3 + 3*q**2 + 9*q - 11. Calculate -3*u(h) - y(h).\nAnswer: -2*h**3 - 9*h**2 - 9*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from iiictic.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 + 126*w - 5*w**2 + 7*w**2 - 47*w to r*w + z*w**2 + s and give r.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1310 and 35?\nAnswer: 9170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*((sqrt(152) + sqrt(152) + 2*sqrt(152) + sqrt(152))*2 + (2*sqrt(152)*2 - sqrt(152))))\/((2*sqrt(40)*-1)\/(sqrt(25)\/sqrt(80))))**2.\nAnswer: 80275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**6\/360 - w**4\/24 - 9*w**2. Let q(o) be the second derivative of f(o). Let v(g) = -11*g. What is v(q(m))?\nAnswer: -22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2897 - 99*w + 202*w + 2*w**3 + 3*w**3 - 103*w.\nAnswer: 5*w**3 - 2897","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003800928014 to seven dps.\nAnswer: 0.0003801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 401483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 + c + 19. Let q be k(0). What is the highest common divisor of 171 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2325)\/(-1705)*(20 + -9) - (-2282)\/(-152).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3182 = 3*y - 2*s, 30*s - 24*s - 1074 = -y. Which is smaller: y or 1060?\nAnswer: 1060","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005741 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 + -379?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 5*h**2 + 12*h - 10. Let r be f(-7). Is 4 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + (-2)\/(-1) - 0. Suppose -m = -2*f - 2*m - 36, 0 = -3*f - 2*m - 56. What is the remainder when 35 is divided by ((-3)\/1)\/(h\/f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1*3\/15). Suppose 0 = m*o - 10*o + 50. Let j(u) = -u**2 + 17*u + 7. What is the units digit of j(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42171191 to the power of 1\/2, to the nearest integer?\nAnswer: 6494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/3 - 259*d**3 - 36402*d**2 + 16358720*d\/3 - 123562400 = 0?\nAnswer: -436, 30, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88158 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 17*s**2 + 12*s - 430. Let x(m) = -6*m**2 - 4*m + 143. Calculate 4*v(c) + 11*x(c).\nAnswer: 2*c**2 + 4*c - 147","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z**3)*(5901 - 1812 - 7).\nAnswer: 4082*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88.6 + 87.6. Sort -2\/5, 1\/2, -3, y in decreasing order.\nAnswer: 1\/2, -2\/5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 7 + 89. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*z**4 + 126*z**3 + 4*z**2 + 9671?\nAnswer: -168*z + 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, -3\/5, 0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**9*(((n*n*n*n\/(n**(-2\/17)*n))\/n*n)\/n)\/n)**47\/(n\/(n\/n**2)*(n**(1\/7)\/n)\/n)**(-19) assuming n is positive.\nAnswer: n**(62504\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 701*a**3 + 2*a**2 + 8*a?\nAnswer: 4206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2153 = -w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266987 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o - 2. Let z be s(4). Let y(v) = -v**3 + 4*v**2 + 9*v + 8. Let f be y(z). Is f less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/5 + 72346*y**4\/5 - 261668245*y**3 - 1046904500*y**2 = 0. Calculate y.\nAnswer: -4, 0, 36175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*3 + 198 + -6?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 5*j - 5 = -2*l, 0 = 3*l + j - 1. Let o(c) = -c**2 + c**2 + l*c**2 + 15*c**2. Let z(q) = -q**2 - 7 + 7. What is z(o(p))?\nAnswer: -225*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 1\/1 - -1. Let y(t) = 1 + 1 - h - t. Is y(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -2 - 0) + 15 - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -179*s**5 - 121*s**2 + s?\nAnswer: -10740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 70 - d6?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9304 is divided by 198.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-24)\/(-9) + -3). What is the third derivative of z**2 - 2*z**3 + 5*z**3 + 3*z**s wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 610*-569372\nAnswer: -347316920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/20)\/((-2)\/(-5)). Let r = -3 - a. What is the third smallest value in -0.1, -0.02, r?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 4*r**2 + 3. Let w be i(-4). Let q be 0\/2 + -2 + w. Let d = q + 24. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4189614401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 0 - -13) + -35 + 4 + -18?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7002)\/(-60)*(0 - (-6)\/(-9)). Let m = y - -79. Factor 1\/5*l**5 - 4\/5*l**2 + 1\/5*l + m*l**3 - 4\/5*l**4 + 0.\nAnswer: l*(l - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -32*s**2 - 4075*s. Let l(k) = -2*k. What is l(i(y))?\nAnswer: 64*y**2 + 8150*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 138563, 277384, 416205?\n\"Answer: 138821*t - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 5151?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/114924540 and -19\/42.\nAnswer: 804471780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - f + 2. Calculate j(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58661\/11 - -5329. Calculate the common denominator of r and (-260)\/210 - 1\/3.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - (4 + -34) - (1 + 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*p - 254, 0 = -p + 13*s - 10*s + 127. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.43 rounded to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, f: 15}. What is prob of sequence ffbb?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -162 + 3*l - 2*l + 163 + 8*l**2. Give w(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/3 - 6341*f**2\/3 + 1497961*f\/3 + 1504301\/3 = 0.\nAnswer: -6569, -1, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -18. Suppose -5*i + s = -0*i. Suppose -2*x + 2 = 5*w - 3, -2*x - 4 = i*w. Solve 0 = -5*c + 3*d, c - w*d + 0 - 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28092519, -28092521, -28092523?\n\"Answer: -2*h - 28092517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 76, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 11 + 90835*w**2 - 90555*w**2 + 6.\nAnswer: 280*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 - 794*h + 396*h - 3*h**2 + 398*h + 2*h**2 - 3. Let q(o) = 36*o**2 + 28. Suppose -1 = -2*n + 3. Suppose 5*x - 17 = -n. Give x*q(u) + 28*s(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*g*j**2*y - 17*g*j**2 - 3354*g*y + g + j*y wrt j?\nAnswer: -320*g*y - 34*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -732 - -728.90005. Let x = u - -3.1. Round x to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -97*k + 1997. Let t be j(14). What is the greatest common factor of t and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 33*p + 29640 = 0. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2)**(19\/5)*s**(-3)*(s\/(s\/((s\/(s\/((s**(-15)\/s*s)\/s)))\/s)))\/s assuming s is positive.\nAnswer: s**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-15)*4\/9\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/6 - 10*v. Let n(k) be the first derivative of k**2 + k**2 + 1 - 3*k**2. Give t(n(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 5*d + 6. Let g be k(-5). Let v be g\/(-9) - 2\/(-3). Suppose v = -2*s - 2*s + 16. Solve -s = 3*c - 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**4)\/j*j**(-28) assuming j is positive.\nAnswer: j**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -787 - -1466. Let a = -633 + w. Solve -37 = -3*d - a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 282\/71 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3 - -2 - 0) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1039 - 1039. Solve 2*i = -4*h + 8, z*i + 5*i + 4*h + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgicrv. What is prob of picking 1 m, 1 c, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 + 3. Let d(g) be the first derivative of g**2\/2 - g + 19. Let o be d(4). Let n(b) = -5*b**2 - 4. Give o*c(u) + 2*n(u).\nAnswer: 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 5*o - 40, -4*w - 2*o = 2*o + 36. Let m be 0\/(-2) - (4 - 6). Suppose -k + m = -4*t - 2, t + 1 = -k. Put -0.2, w, k in increasing order.\nAnswer: w, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**5\/20 - z**4\/4 + 2*z**3\/3 - 12*z. Let s be i(2). Which is the third smallest value? (a) 3 (b) -0.2 (c) 1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = 5*h + r, -4*h - 5*r - 5 = 0. Is 27 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -2*g**2 + 31\/24*g**4 + 32\/3*g**3 - 209*g + 0. What is the derivative of o(h) wrt h?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2761627 litres in millilitres?\nAnswer: 276.1627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 28 = 5*t - 14, 6*k + 18 = 3*t. What is the third biggest value in -1, -0.2, k, 1\/1750?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0274410347 to 4 decimal places.\nAnswer: -0.0274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n**2 + 41*n - 708. Let f(d) = 2*d**3 + 2*d**2 - 89*d + 1417. Determine 13*b(i) + 6*f(i).\nAnswer: -i**3 - i**2 - i - 702","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**2\/2 - 10665*h\/2 - 5334 = 0.\nAnswer: -1, 3556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 + -82. Let r = -62.4 + n. What is the second biggest value in r, -1, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o - d - 0*d, 2*o + 3*d - 6 = 0. Suppose -y - 2*y = 180. Let i be 6\/33 + y\/(-33). Solve 8*u = 3*u, i*u - 15 = o*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58983 by -3.\nAnswer: 19661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909368?\nAnswer: 2, 3, 23, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.544 - -1.544. Which is bigger: s or 26\/5?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 51*t - 1. Let f be n(-1). Let q = f + 88. What is the units digit of -4*6\/(-8) + q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 614 = 8*z - 1498. What is the hundreds digit of z\/1 + -24 + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093261 to the power of 1\/2, to the nearest integer?\nAnswer: 2468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.5 + 41. Let q be (-24)\/28*28\/(-8). What is the third smallest value in 1\/7, o, -0.5, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107\/4? (a) 2\/5 (b) -0.2 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*o - 327643 = 524053 - 1056. Is -6861 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -624, -906?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60122057?\nAnswer: 131, 458947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5985*f**2. Let u(b) = 608*b. Calculate a(u(s)).\nAnswer: 2212439040*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 80 = 0. Suppose 87*l + i = 91*l. Suppose l*t - 1800 = 805. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1139\/5 - -1141\/5. Suppose 2*z + 12\/5 + u*z**2 = 0. What is z?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 308*t - 6. Let w(c) = 3*c. Give u(w(h)).\nAnswer: 18*h**2 - 924*h - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 731764939 to the power of 1\/2, to the nearest integer?\nAnswer: 27051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*l**5*m**3*y - l**2*m**3*y + 13*l*m**2*y + 3*l*m + 2*m**3 - y wrt l.\nAnswer: 1680*l**3*m**3*y - 2*m**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2. Let r(c) = -2*c**2 - 526*c + 2. What is r(s(t))?\nAnswer: -8*t**4 + 1052*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 3*x**2 - 7*x**4 + 3 + 4*x**3 - 3*x**3 + 8*x**4 to p*x**3 + v*x**2 + l + y*x + t*x**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/81624 and -65\/76.\nAnswer: 81624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/3, -0.2, 0.4, -2, 2\/151 in descending order.\nAnswer: 3, 2\/3, 0.4, 2\/151, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*o + 4*o. Let m = -8.1 + 3.1. What is the nearest to 0 in o, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 355, 531, 709?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand n + n + 0*n + n - 2*n - n + 2*n + 3*n - 6*n + (4 - 3 + 1)*(0*n + 3*n - n) + 0*n - n - n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 344.933 days in milliseconds?\nAnswer: 29802211200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490176 is divided by 35011.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**4\/4 - 8*w**3\/3 + 3*w**2\/2 - 20*w - 5. What are the prime factors of c(-11)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4623597 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.4, -986, -2\/7, -1\/5 in descending order.\nAnswer: 0.4, -2\/11, -1\/5, -2\/7, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 - 122*z**2 + 137*z - 4241. Is v(73) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 9*m - 12 = 0. Let y = m - 4. Solve y = -o + 2*k + 4, k = 5*o - 3*k - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233233 (base 4) in base 12?\nAnswer: -1927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + w + 7, -4*s + w + 3*w + 4 = 0. Let o = s + 2. Solve 2*z = 3*i - o*i - 20, 8 = i - z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 6. Suppose 0*c + 2*c - 3*m = 37, -2*c + 17 = m. Let o(b) = 6*b - 29. Let y(d) = c*p(d) - 2*o(d). Let w be y(-8). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*w + 48 = 24, 0 = -4*l - 4*w + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 - -1721\/9. Let o = 0.45 + 4.55. Which is the third smallest value? (a) o (b) 4 (c) v (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102225 is divided by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1425944 and 58\/1604187.\nAnswer: 12833496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f*f*f)**(6\/11)\/(f**(-1\/8)\/(f\/f**(-1\/2))))\/(f**(-1)*f**(5\/6)*(f**(-3)\/f)\/(((f\/(f**(1\/11)\/f))\/f)\/f)) assuming f is positive.\nAnswer: f**(163\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 113624847 times 0.01?\nAnswer: 1136248.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufffmnfuf. Give prob of picking 1 f and 1 n.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 22 = 193. Let o be 0 - -1 - (-63)\/h. Let y(n) = n**3 + n**2 - 2*n - 1. Let r be y(-2). Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423322 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 w(l) be the first derivative of -l**3\/3 - 13*l**2 + 5*l - 25. List the prime factors of w(-16).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 - 314 = -3*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b + 2*b - 4*b + 3*b + 2*b - 6*b + (-1 + 4 - 2)*(0*b - 2*b + b) + 1 - 1 - 2*b)*(b**4 + 0*b**4 - 3*b**4).\nAnswer: -18*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, 1 k, and 1 o when four letters picked without replacement from {p: 2, l: 1, a: 1, r: 1, k: 2, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300546 and 18?\nAnswer: 300546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**3\/13 - 199274*t**2\/13 + 4963865520*t\/13 - 4963666248\/13 = 0?\nAnswer: 1, 49818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ys when two letters picked without replacement from gyyoasyyagyay?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -30584394\/43 greater than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2637\/26287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)*j*j**12*j)\/(((j\/((j*j**(3\/5)*j)\/j*j)*j)\/j)\/j*j\/j**(-2\/13)*j) assuming j is positive.\nAnswer: j**(2752\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.67141 bigger than -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728 - 698 = 5*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -3a5?\nAnswer: 3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z. Suppose -3*p - 5*k + k - 67 = z, 5*p - 4*k + 165 = 0. Let q = -20 - p. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109408 divided by -208\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 136\/9, -22421, -4?\nAnswer: 136\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*sqrt(39)\/(1*sqrt(3)))**2 + (sqrt(52)*3 + -5)**2 + 4.\nAnswer: -80*sqrt(13) + 826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**4 + 24*m**2 - 8*m**3 - 61*m**3 + 10*m + 67*m**3 as h + u*m**3 + o*m + k*m**4 + q*m**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23921 - -24053. Calculate the highest common divisor of 4917 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:46 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2121\/4 + -536. Let z = -49 + 286. Calculate the common denominator of z\/60 - (-3)\/(-15) and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3766?\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -2\/7 (b) 10\/21 (c) 261 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 1, -101254, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -200 + 200 - 6*i in the form a + c*i and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5883*t**3 - 83795*t**3 - 120375*t**3.\nAnswer: -198287*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.9. Let b = 345.6 - 309. Let g = b + -37. Put n, 2, g in increasing order.\nAnswer: g, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7525 + 7524.6849. What is t rounded to 2 decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 2*d - 7*u, 155 - 162 = u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*m**2 - 6*m + 16*m**4 + 4*m**5 + 0*m - 14*m + 16*m**3 + 0*m**5 - 8.\nAnswer: 4*(m - 1)*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 6 + (1 - (-1 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1082, 2193, 3294, 4385?\n\"Answer: -5*h**2 + 1126*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -29946 and 0.4.\nAnswer: -11978.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -318*m**2 + 18.\nAnswer: -636*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**3*y**2 - 8023*t**3*y - t**3 + 675*t**2*y**2 - 6*t**2*y + t*y**2 - y**2 wrt t?\nAnswer: -18*y**2 - 48138*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70144 and 10960.\nAnswer: 350720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**4*p*p\/((p\/p**(-17))\/p) assuming p is positive.\nAnswer: p**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**3 + 0*u + 22*u**2 - 5\/24*u**4 + 0. Let t(l) = -5*l - 5. Give -5*m(k) + 6*t(k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 3*n**2 - 3*n + 1. Suppose 68*a - 69*a = 0. Let m be k(a). Solve -1 + 8 = -4*x + j, -m = x - j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 7:46 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 154679*y**2. Let l(h) = -h - 462. Calculate l(g(j)).\nAnswer: -154679*j**2 - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7417, -6397, -3339, 2777, 12971?\n\"Answer: 170*b**3 - b**2 - 167*b - 7419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2712 (base 9) to base 4.\nAnswer: -133310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 3*h - 10, -76*h + 5*b - 10 = -73*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*s**3 - 773*s**3 - 1 + 1.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 227?\nAnswer: -113.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0 = 3*d + 3, -4*s = -4*d + 28. Let i = -54\/11 - -314\/55. Factor 2\/5*t**d - 6\/5*t + i + 0*t**2.\nAnswer: 2*(t - 1)**2*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m - 182*m - 266*m - 1 - 551*m as h + x*m and give x.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 210050*d**3*z**2 - 98*d**3*z + 3*d**2 + 4*d + 2*z**2 wrt z.\nAnswer: 420100*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, f: 4, c: 2, a: 1, z: 3}. Give prob of picking 3 z and 1 m.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15553255\/144 + 108008. Calculate the common denominator of n and -71\/64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 + 8\/18. Let v = r - 4\/9. Factor -v*o**5 + 2\/3*o**3 + 0*o**2 + 0*o**4 + 0 - 1\/3*o.\nAnswer: -o*(o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19233 and 0.6?\nAnswer: 19233.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (874\/115 + -8)*(-10)\/(-4). Let z(b) = -b**2 + 10*b - 13. Let s be z(9). Put 2, s, -2, y in decreasing order.\nAnswer: 2, y, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29214 + -20470. List the prime factors of d.\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349242403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 22*t - 8. Let p be s(-5). Suppose 3 = -2*h - 3*l - 4, 0 = -4*h - 2*l - 2. Sort h, 2, p in decreasing order.\nAnswer: p, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33124 divided by 123\nAnswer: 33124\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (4 + -5) - -4. Suppose 5*t + o*s - 5*s = 815, -t + 2*s + 171 = 0. Is t a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*g - 18 + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**5\/20 - o**4\/2 - 2*o**3\/3 + 15*o**2\/2 + 11*o. List the prime factors of x(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s - 7. Suppose -5*l - k = -4, 2*k + 7 = 3*l - 2*k. Let j be x(l). Suppose h = -3*h + 44. What is the greatest common factor of j and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**3 + c**2 + 2*c + 1. Let b(g) = -2*g - 285. Let p be b(0). Let t = p + 284. What is l(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -356170519 and 3.548.\nAnswer: -356170515.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 39 + 2024*o - 590*o + 38 - 112 to j*o + d and give j.\nAnswer: 1434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/3 - f**3\/3.\nAnswer: f**3*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-97)\/(-11) + (-16)\/(-88). Let z be (-2 - -3)\/((-21)\/m). What is the nearest to -4 in 3, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 467185973.86.\nAnswer: -467185972.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 + 2*w**2 + 2*w + 2. Let n(c) = 7*c**3 - 5*c**2 - 5*c - 5. Let l be 3 + 7\/(-2) + 10\/4. Calculate l*n(o) + 5*z(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 - 0.11. Which is the nearest to -1? (a) -2\/7 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 238664 or 238717?\nAnswer: 238664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/13)\/(((-6)\/279)\/((-36)\/(-27))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.6 - 7. Let l = i + -1.2. Let d = -0.39999976 + l. Round d to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6244 and 2676.\nAnswer: 18732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = 0. Let k(n) = -2*n + 21. Let j be k(9). Solve 0 = 2*z + j*r + 7, u = 2*z - r - r + 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7327 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 + -358. Suppose -2*d = -3*d + 5. Sort d, c, 1 in increasing order.\nAnswer: c, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11443\/9 >= -1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-9))\/(2*(-8)\/240)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1175 + -17617\/15. Let f(b) be the first derivative of -q*b**3 - 1 + 2\/5*b + 3\/5*b**2. Solve f(n) = 0 for n.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2 + 2 + (-3*q + 2*q + 0*q)*(1 - 1 - q) - 6*q**2 + 4*q**2 + 3*q**2)*(7920 - 3150 - 1826).\nAnswer: 8832*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*q + 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, -1, 5, 1, -29, -0.1, 0.050266?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(-4 - 51\/(-9)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663491 is divided by 527.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) 2\/7 (c) 21\/52 (d) 3\/4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.35. Let s = 178.6 + -178.3. Let q = 31.1 - 31. What is the second smallest value in d, 1, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(65)*3 + sqrt(65) + ((sqrt(65) - (sqrt(65) - (-1*sqrt(65) - sqrt(65))) - sqrt(65))*2 - sqrt(65)))\/((sqrt(80)\/sqrt(4))\/sqrt(4) + sqrt(405)*3).\nAnswer: 9*sqrt(13)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*z + 32928 = 213614. What is the greatest common divisor of z and 1333?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 14. Let n be (6\/22)\/(12\/8). Which is the closest to -3\/5? (a) n (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 35. Let c be m(-15). Let q be c\/6 - 1\/(-3). Let g(b) = -b**2 - 7*b - 5. Let l be g(-4). Are q and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -2. Let k(x) be the second derivative of -x**2 + 2*x + 2*x - 3*x**3 + 4*x**a. Give k(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 7*t + 8. Let a be s(6). Suppose 6 = p + a*p. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aassaaasaaaaaaaa. Give prob of sequence asas.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1000011101 (base 3) to base 2\nAnswer: 100110101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 + 9 + 3*k - 10)*(55*k**2 - 184*k + 184*k) in the form j*k + l + b*k**2 + d*k**3 and give b.\nAnswer: -1485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 21. Let j(v) = v**3 - v**2 + v. Let a(l) = -l**3 + 2*l**2 - 2*l. Suppose -8 = 38*d - 34*d. Give d*a(z) + w*j(z).\nAnswer: -z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50117, 100227, 150337, 200447, 250557, 300667?\nAnswer: 350777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(512) + sqrt(512)*2 - sqrt(8)).\nAnswer: sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2745\/153) + 555\/37.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 41, 65, 83, 89?\n\"Answer: -y**3 + 6*y**2 + 13*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 to the power of 1\/4, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 198, 0, 2\/3, 9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116274934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and 19\/29059924?\nAnswer: 58119848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 6*m - 1. Find the common denominator of y(3) and -83\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2 - -10)*-5. Let q = w - -57. Solve -3*g = -q*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3989544 by 1994772.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 - 62*x**2\/11 + 118*x\/11 - 58\/11.\nAnswer: 2*(x - 29)*(x - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 25*u - 307. Let q(x) = 46*x - 616. Calculate -11*o(m) + 6*q(m).\nAnswer: m - 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53302630 and 141910?\nAnswer: 6170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 876*((-1)\/5)\/((-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6728, -6605, -6286, -5675, -4676, -3193?\nAnswer: -1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 7195*t - 7190.\nAnswer: -5*(t + 1)*(t + 1438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 17462*s - 34998. What is n(2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from ptmpjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + p + 425 = 0, -4*c + p + 440 = -3*p. Suppose 0 = 4*o - 41 - 19. Calculate the highest common divisor of c and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**4\/6 - 2*v**2. Let x be u(1). Solve 0 = -x*s + 5*w + 29, -2*s + w - 3 = 2*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 7*z**2 + 5*z - 6. Suppose 2*k + 3 = -9. Let r be d(k). Solve -7*q + 5*q - 10 = r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 112807, 225604, 338401, 451198?\n\"Answer: 112797*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**2 - 18904*p + 619476 = 0.\nAnswer: 33, 4693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 5*u + 26, -4*x + 5*u - 2*u = 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/270*18 + (-4 - 4\/(-20) - -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(833) - (3*(sqrt(833) + -1) - sqrt(833))) + sqrt(833))**2 + (sqrt(833) - (sqrt(833) + sqrt(833) + -1 + 2))**2 + -3 + -1*sqrt(833) + 5.\nAnswer: 7*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**4 - 4922*p**3 + 1946198*p**2 + 11810298*p + 17782056 = 0. Calculate p.\nAnswer: -3, 503, 1964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 - b**3 + 3*b**3 - 60*b**3 + 106*b**2 - 106*b**2 - b + 2*b**3 + b + (3*b - 3*b - b**2)*(4*b + 0*b - 6*b) - b + b + b**3.\nAnswer: -57*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**3 + 2*o**2 + o + 1. Let k(w) = -8*w**3 - 6*w**2 - 3*w + 10. Let a(u) = -3*b(u) - k(u). Calculate a(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**4\/4 - 5*u**3 + 6*u**2 + 31*u - 50. Is s(-16) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4174750 is divided by 64.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -8041.\nAnswer: -14\/8041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 52?\nAnswer: -5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 302464040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (883 - 2859 + 11*j - 23*j + 9*j + j)*(3 + 0 - 5) as v*j + x and give x.\nAnswer: 3952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 116108, -143 in ascending order.\nAnswer: -143, -7, 116108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**3 - 2*b**4 + 6*b**3 + 12*b**3 - 24*b**3 - 10 in the form i + p*b**2 + k*b**4 + t*b**3 + z*b and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 0*t + 6 - 3. Let w(h) = -64739*h + 0 + 64738*h - 2. What is -3*v(r) - 4*w(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - -53. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 55\/4, 0.1, -1243?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -461, -504, -565, -650, -765, -916?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3256705 is divided by 2246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 5. Solve 0 = -c*a + 7 + 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + -1 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/9)*c**(5\/4)*(c*c**(2\/5)*c)**31 assuming c is positive.\nAnswer: c**(13537\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 241304 divided by -8618\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166258*v - 29*v**3 - 166258*v.\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(9095\/(-73830) + (-1)\/23).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 - -39. Let d be 1\/(6\/(-18) - 8\/w). Which is smaller: -4 or d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2163*d**2 + 2831 wrt d.\nAnswer: -4326*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*g - 3*g. Let h = g - -8. Solve -h*i - 2*v + 6 = 2*v, -5*i - 13 = -v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-8))\/(2 + (-3)\/2). Let s = -4 + g. Solve 3*c + 4 = 4*i, -3*c - 4 + 1 = -s*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, -110, 4, 1\/5, -49.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 19*z**2\/2 + 127*z + 2044. Determine s(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 8211.2\nAnswer: 821.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -56 + 27 + 60 + -15\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -11 - 17 - 2*c + 34 - 3*c - c**2. Let a(m) = m**3 + 5*m**2 - 4*m + 6. Let w be a(-6). Give k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**2 - 98*f - 7. Determine s(-11).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 22 = -3*b, -2*r + 12 = -2*b - 0*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (42\/(-8))\/(-7) - 61\/(-4). Calculate the highest common divisor of 40 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5142 (base 14) to base 12\nAnswer: 8106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 265\/2. Is a equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 90*a**2 - 3405*a - 2313. Let w(h) = -7*h**2 + 262*h + 178. Let c(r) = 27*w(r) + 2*x(r). Find j such that c(j) = 0.\nAnswer: -2\/3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 46, 65, 84?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2, -6, -18, 0, -2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 - 6a490?\nAnswer: -6a499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/(1 - 36\/32)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 7. Let g be d(-3). Let m be (-2)\/g*1*-10. Solve 2*v - m*z = 9, 1 + 0 = -2*v - 5*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 4*t. Suppose -2*p = 2*q - 8, 2*q - 5*p - 5 = -10*p. Let a be z(q). What is the derivative of 4 + a + 1 - 3 + 4*h wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w**5 - 20*w**4 - 64*w**3 + 48*w**2 = 0. What is w?\nAnswer: -2, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = v, 4*f - 23 = -2*v + 7. Let a(j) = j - 2*j - f + 5 + 2. Let g(b) = -b**3 + 3*b**2 - b. Let k be g(2). Determine a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*x + 42*x + 71*x + 3933 + 684*x**4 wrt x.\nAnswer: 2736*x**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.1 (b) -1 (c) -5 (d) -0.07933\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6781\/2 - 3382. Let f(p) be the second derivative of 0 + 0*p**3 - 8*p - 3*p**4 + l*p**2. Find the first derivative of f(t) wrt t.\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of 2*z + 40 + 81\/2*z**2 - 17\/3*z**4 - 1\/20*z**5 + 1\/6*z**3. Find the second derivative of q(c) wrt c.\nAnswer: -6*c - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 81*a**3 - 3*a + a + 5*a. Let v be c(-1). Calculate the highest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.034? (a) 0.4 (b) -39 (c) -5\/7 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1307865 divided by 13767\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 3*a + 2. Let l(u) = -u. Let r = -5 + 6. Let m = -2 - r. Let o(w) = m*l(w) - c(w). What is the derivative of o(g) wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 713\/517 - 71\/1551. Suppose 0 + 2\/3*k**4 + p*k**2 + 2*k**3 + 0*k = 0. Calculate k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8\/3, 0.5.\nAnswer: 0.5, 2, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, k: 2}. Give prob of picking 2 k and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*p**2 + 0 + (-5*p + 2*p - 2*p)*(-p - 3*p + p))*(-4*p - 1 + 6*p - 1)*(-10 + 10 + 11*p**2).\nAnswer: 286*p**5 - 286*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2*p**3\/3 + 3*p**2 + 6*p - 78. Let d(s) = 2*s**2 - 5*s - 5. Let h = -4 + -11. Let i = h + 11. Calculate i*d(k) - 3*y(k).\nAnswer: -2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + m = -21 - 30 + 5, 2*q + 4*m = -178 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = 5*j + 2*r, 3 = -j + r. Let g(v) = -1 - 4 - 12*v + 2 + 9*v. Let d(q) = 1. Let u(f) = j*g(f) + 3*d(f). Let x(y) = -y. Give u(x(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8146*k = -8153*k - 252 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195581955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -26742127\nAnswer: -4\/26742127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + x)*(0*x - x + 5*x + (1 - 1 - 2)*(0*x - x - x)).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 + 0.12. Let j be ((-6)\/(-15))\/(1\/55). Let u be -3 + ((-18)\/j - -4). What is the second smallest value in u, y, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/(-16)*6)\/(600\/96))\/((-1)\/110)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y = -22*y - 57. Suppose -4*o + 9 = -y. Suppose o*n - 4*n = 6. Sort n, 4, -4 in decreasing order.\nAnswer: 4, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -195b - 342?\nAnswer: -1ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1 (c) -6\/5 (d) -60\/7 (e) -4 (f) 3 (g) -2.92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 6\/2*(-1)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjcepgzc. What is prob of sequence pj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5299904103 to 5 dps.\nAnswer: 0.52999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2959 = -389*x + 9689 + 4940 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (616\/(-7))\/11*3\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 10*u**2 + 2*u - 17. Let z be m(-9). Let k = -38 + z. Suppose j - 486 = -k*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:03 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -2?\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (5 - (15 + -3 + 11 - 9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 8*h**2 + 6*h + 7. Let s be o(7). Suppose y = -3*y + 8. Suppose s = 4*l + y*f - 18, -1 = -2*f + f. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-4) + 0)*26. Let p = 18 - a. Suppose -p*q = 2*n - 100 + 36, 6 = q - 3*n. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 16\/4)\/(-1). Suppose h + 15 = 6*h. Let y(f) = 4*f**2 - 9*f**2 - f**h + 4*f**k + 0 - 2. Calculate y(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 14*c + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 18*a - 18*a + a**2 + 3. Let j(b) = b**2 - 3*b - 3. Let v be j(3). Calculate the smallest common multiple of x(v) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/21*2667\/(-1778)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 63724*o - 254960.\nAnswer: 4*(o - 4)*(o + 15935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**5 - j**3 + j - 1. Let m(u) = -2*u**4 - 2*u**3 + u - 1. Let r = -22 - -21. Let s(i) = r*m(i) + t(i). Factor s(z).\nAnswer: z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*g - 25 = 0, -5 + 0 = -g. Suppose m*n - 2*n = -14. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (4*-1*sqrt(171) - sqrt(171)))\/(sqrt(45)\/sqrt(80)))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -778, -1555, -2334, -3115, -3898, -4683?\n\"Answer: -i**2 - 774*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1 (b) -0.3 (c) -5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.99 + -0.01. Let k = -6 - m. Which is the third biggest value? (a) k (b) 0 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15229\/42 + -2545\/7. Let k = -345\/14 - g. What is the common denominator of k and -50\/13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 1 - 1)*(s - 2*s + 2*s) + (-9*s - 3 + 3)*(2*s**2 - 2*s**2 + s**2).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -21.0000072. Round o to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -1 + 2 + -5*((sqrt(343) - sqrt(343)*-3) + 2 + sqrt(343)) + 1).\nAnswer: -1050*sqrt(7) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 2) + 17 + -11 - 4 - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 63 + 6*f - 122 + 56. Calculate the smallest common multiple of j(5) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -214 + 314. Let n(p) = -88*p**2 - 266*p + 54. Let f be n(-3). Calculate the greatest common divisor of f and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 38*u**2 + 335*u + 42. What is f(24)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i**2 - 2*i + 141. Let r(p) = 7*p**2 - 2*p + 68. Let z(d) = -13*r(d) + 6*w(d). Give z(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 30, 5, -32\/51, 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1\/3, -0.17381, 2\/5 in decreasing order.\nAnswer: 4, 2, 2\/5, -0.17381, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8792\/9 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 826806674 a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + p = -7, 5*p + 2 = 2*d - 24. Suppose -10 = j - 6*j. Let y = 82 + -68. Solve -d*i + y = j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -5*f, w = 4*f - 4*w + 5. Suppose -1 + f = -a. Let b(o) = -2*o**2 - 5. Let h(x) = -4*x**2 + 3*x**2 + 0 - 1. Calculate a*b(u) - 4*h(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -237 and -9813.\nAnswer: 2325681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907*r**3 - 234*r**3 - 213*r**3 - 231*r**3 - 233*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 302931*d + 168501.\nAnswer: 302931","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 774 + -469?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -673\/145 and -1\/18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 282 or -6571?\nAnswer: -6571","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 10057546949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(-3)*0\/(-19)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165826, -331637, -497446, -663253, -829058, -994861, -1160662?\nAnswer: -1326461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -50985.\nAnswer: -50985.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -447*m**2 + 432*m - 4. Give r(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*m - 18 = 72*m. Let 900*u**2 + 189288 + 659278 - 54000*u + 231434 - 5*u**m = 0. Calculate u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*n = -144*n + 20*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-138)\/(-5) - (-2)\/5. Let j = -3049\/6302 + -51\/3151. Which is the closest to -0.1? (a) 2\/11 (b) -0.3 (c) j (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*(-3 + -21). Let k be 2\/(-8) - 8\/g. Solve -y + 6 - 2 = k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106247 + 12?\nAnswer: 106261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4\/3 - 428*s**3\/3 - 420*s**2 - 1252*s\/3 - 416\/3.\nAnswer: -4*(s + 1)**3*(s + 104)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27582 (base 13) to base 7.\nAnswer: -424101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1114 and 18.\nAnswer: 10026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4 - 2. Let a(f) = -5*f**2 - 28*f + 7. Let b(y) = y**2 + 7*y - 2. Let u(l) = -2*a(l) - 9*b(l). Let w be u(6). Does w = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r + 4. Let b be (4\/10)\/((-3)\/(-30)). Let o be u(b). Suppose 0 = -0*x + 4*x - o. Solve -x = i + i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*x**2 - 384*x**2 + 1972*x**2 - 451*x**2 - 349*x**2.\nAnswer: 323*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2666022 + -6?\nAnswer: -2666030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + 8*t + 9*t)*(3*t**2 - 4*t**2 + 0*t**2).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:03 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 6 + (24 + 43 + 108)*(-1 - 2 + 2) - 2 - 2 + 3)*(-g**3 + 1 - 1) as q*g**2 + a*g + m*g**3 + p and give m.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 1, i: 3}. Give prob of sequence cii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34720\/7611 + 193\/43. What is the common denominator of w and 43\/5?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11151, 12386, 13621, 14856, 16091?\n\"Answer: 1235*j + 9916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 867 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15d (base 15) to base 4\nAnswer: -10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5065\/10 + 1)*(-108)\/45. What is the units digit of t\/(-15)*(7 + (3 - 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1540\/550)\/(14\/20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/5)\/y*y*y\/(y**(6\/7)*y)*y*y**9*(y**13\/y)\/y assuming y is positive.\nAnswer: y**(733\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1284.8 - 1285. Let v = 33 + -32.9. What is the closest to v in -1.9, -0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -600*l**3 - 176 + 176.\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 8, -23, -22104 in increasing order.\nAnswer: -22104, -23, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 8. Let b = z + 5.2. What is the closest to -1 in -1, b, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) - (sqrt(78) - -1*sqrt(78)))*4 + (sqrt(78) - sqrt(78)*1 - sqrt(78))*-1)\/(sqrt(216)\/((sqrt(4)*1 - sqrt(4)) + sqrt(4))) + 4 + 2)**2.\nAnswer: -12*sqrt(13) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 947815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000559066 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**2 + 6*s. Suppose 2 = 5*u - 4*t, 3*u - 2 = t + 2. Let r(q) = 10*q**2 + q**u - 10*q - 3*q. Determine 13*b(y) + 6*r(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*f + 562669 - 177757. Does 54 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5 + 5 - g**2 + 8*g**3 - 9. Give z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*p + 488, -7*p - 1217 = -2*p + k. Let a = p - -356. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2535 - 2521.995. Let w = d - 13. What is w rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 4*u**2 - 4*u - 1. Let q(b) = -b**3 - 11*b**2 - 12*b - 15. Let f be q(-10). Give g(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5840*f + 128504. What is h(22)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -867449 divided by -8\nAnswer: 867449\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-25)\/2)\/((-1)\/2). Suppose -2*s - 23 = 5*t, 5*t + g = -4*s + 2*t. Let n(d) = 2*d - 2. Let h(w) = 5 + w + 0*w + 0*w - 5*w. Calculate s*h(k) - 9*n(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561 (base 8) in base 16?\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence son when three letters picked without replacement from osonrzrsnrnon.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 1263*y - 2530.\nAnswer: (y - 2)*(y + 1265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*u + 177, -2*i + 4*i = -u + 71. Suppose -234 = 3*g - 882. Suppose -g = -7*s + 120. What is the greatest common factor of s and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d828 (base 15) to base 11.\nAnswer: 31388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 939575428 to the nearest 1000000.\nAnswer: 940000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -343*n + q = -344*n - 11, -5*q = -n + 61. Let p = 293 - 1763\/6. Let k = p + 31\/12. Which is smaller: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(170)\/(-2*sqrt(10)))**2.\nAnswer: -3*sqrt(17) + 53\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9187 + 367449\/40. Find the common denominator of -95\/6 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 1. Suppose -w - 2 = -6. Let s(x) be the first derivative of -2\/3*x**3 + w*x + 3 - 5\/2*x**2. What is 4*j(o) - s(o)?\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxs when three letters picked without replacement from {x: 1, s: 1, a: 1, d: 3, y: 6, b: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*r + 84, 0 = 2*r + z + 3*z - 52. Suppose 0 = -4*y - 4*n + 96, -4*y + 3*y + r = 4*n. Calculate the highest common divisor of y and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 404071, 808118, 1212127, 1616080, 2019959?\n\"Answer: -3*h**3 - h**2 + 404071*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 25. Let w be m(8). Suppose 80 = -4*f - k, -3*f - 48 + w = -4*k. Which is smaller: f or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Suppose -w - 44 = 5*t, t - 5*w - 8 = 4. Let x be 58\/3 + t\/(-12). Solve 3*d = k*c + d + 8, -4*c = -5*d + x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1*(-6)\/(-18))*-135. Solve -1 = -f + 4, -4*x - 5*f = -q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 4 = -6*d. Let f(l) = 140*l**3 + 2*l**2 - 2*l. Let m be f(d). Let p = 240 - m. Is p a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/35, 0.1, -0.4, -21, 1\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.83 - -0.829018. What is m rounded to five dps?\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 9*j**2 + 10*j + 6. Let h be g(-8). Let b(f) = f**3 + 9*f**2 - 10*f + 7. List the prime factors of b(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.49587 centuries to decades.\nAnswer: 654.9587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 105, 85, 61?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b - 1. Suppose 2*h - 22 = -2*p - 2*h, 0 = -3*h + 9. Suppose c - 2*n = 10, 6 - 26 = p*n. What is f(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 14 = 15*i + r, 2*i - r = 28. Suppose 0*z = 10*z - 2300. What is the least common multiple of i and z?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -2 (c) -5 (d) -0.3 (e) -2\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from sqfesfcscpcs?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 0, 5126652?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8999972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-7 + 8)) + (3 - (4 + -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1 - 0) - -4. Suppose 0 = h - 3, 5*h - 53 = -2*s - 20. Let d be 1 + 7 + -15 + s. Solve c + 4*c + b*t = -15, -d*t - 10 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 - 6. Let v = p + 0.1. Let i = 0.9 - 0.6. Sort 0.04, v, i.\nAnswer: v, 0.04, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 6*d**2 + d - 2. Let k be a(6). Suppose -34 - 30 = k*g. Let h = g - -22. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24674mg in kilograms?\nAnswer: 0.00000724674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 895720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -476, -1672, -3576, -6188, -9508, -13536?\nAnswer: -18272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 158563 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/15 - a**3\/3 - 5*a**2. Let t(b) = -b**2 + 1. What is g(l) + 2*t(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -2*r**3\/3 + 2*r. Let y(q) be the first derivative of 22 + 0*q**2 - 9 + q**2 - 3*q**2. Give y(w(d)).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d + 4 - 262*d**2 - 285*d**2 + 507*d**2 to u + l*d + i*d**2 and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3223 + -3218. Solve c*x = 2*q - 19, 1 = 4*x + 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51721530 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -1.2. Let n = -4.18 - z. Which is the second smallest value? (a) -1\/3 (b) 2\/3 (c) 3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6*k = 12. Suppose -k*b + u = -36, -3*b + 2*u + 12 = 5*u. What is the greatest common factor of 88 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.39 + -5.39. Let x = 0.06 + 3.94. Let u = 0.29 + 0.01. What is the third smallest value in u, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 5*d + 5. Let s be o(4). Let h be 8\/(-20) - 183\/(-270). Is s greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzid when four letters picked without replacement from {z: 1, d: 2, g: 1, i: 1, c: 1, n: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1 - 4 + 23*l + 5.\nAnswer: 23*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*sqrt(1225)*2*6)\/(sqrt(7) + (sqrt(70) + sqrt(70)*2 + sqrt(70))\/sqrt(10) + sqrt(28)\/sqrt(4)*-3).\nAnswer: -540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/17)*g**20)\/(g**(-3\/13)\/g*g*g\/(g*g**(-13))))**(1\/8) assuming g is positive.\nAnswer: g**(1611\/1768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1)*(-12)\/(-4). Let o be ((-15)\/a)\/((-3)\/(-30) - 0). Solve 5*f - o = 0, -5*k - 2*f + 5*f = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00208417139 to 5 decimal places.\nAnswer: 0.00208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 4 - 19 - 5)*(22 - 42 + 15).\nAnswer: -10*i + 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157 - 117. Suppose -33*i + c*i - 17381 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(143) - (sqrt(143) - sqrt(143)*4) - sqrt(143)) + sqrt(143)))\/(-3*sqrt(1331)) + -2.\nAnswer: -20*sqrt(13)\/33 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 17 (c) -0.163 (d) -1\/10 (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*o**2 + 427161*o + 9491952 with respect to o.\nAnswer: -18*o + 427161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by -130\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = -2. Let p(n) = 2 - 2*n**2 + n - n**h + 2*n**2. Suppose -2*f - 4 = -2*b, 2*b + 99*f = 103*f. What is p(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.85 - 2.\nAnswer: -14.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -84719142071+-2\nAnswer: -84719142073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1205 - -20?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*x = 19 + 34, 0 = -5*w - 3*x - 33. Let i(v) = 2*v + 3. Let c be i(w). What is the smallest common multiple of 12 and 6*(2 - c\/(-9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -2914978.\nAnswer: 42\/1457489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 413, 4, -5, 69 in increasing order.\nAnswer: -5, -1, 4, 69, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 40915424.\nAnswer: 40915424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -24*f + 87. Let u = -384 - -360. List the prime factors of d(u).\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.6009 - 0.3991. Which is the fourth smallest value? (a) -1\/4 (b) -16 (c) -2\/7 (d) 3\/4 (e) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 706355.7 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 38*c - 10 - 25 - 13.\nAnswer: -38*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29468 (base 12) in base 9?\nAnswer: 87108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = f - 2, 4*f - 19 - 4 = 3*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 51 = 64*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*c - 3248 - 3030 = -5138 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*s - s. Let x(b) be the third derivative of -b**5\/20 + b**4\/12 + 9*b**2. Give x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21 and -6494.\nAnswer: -136374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*f + 8*f - 258 = 0, 0 = 2*i + 3*f - 170. Let d be (1*2)\/(2\/11). What is the greatest common factor of i and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**4\/3 + 1030220*x**3\/3 - 14422345*x**2\/3 + 50477350*x\/3.\nAnswer: -5*x*(x - 206030)*(x - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1723641.3911 - -0.808.\nAnswer: -1723640.5831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**2*o*p*u + 7*n**2*o*u - 19*n**2*u + 2*n*o*u - 2*n*p*u + 26*o*p + 2 wrt n.\nAnswer: 4*o*p*u + 14*o*u - 38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/((-18)\/15)*109\/(-109))\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 390912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from pop?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + 2*n**3 + 2*n**3 - 7*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.95 + 0.05. Let v = -36 + 26. Let t = v + 5. Put t, j, 1\/5 in decreasing order.\nAnswer: j, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 393*u. Let w(o) = -3*o**2 + 340*o. Calculate v(w(g)).\nAnswer: -1179*g**2 + 133620*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 5*c**2 - c + 7. Let s be u(5). Suppose -5*m = -s*m - 30. Solve -h = h + m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -933, -2565, -5225, -8865, -13437, -18893, -25185?\nAnswer: -32265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 5*s + 6. Let l = -39 + 41. Suppose -l*h + 4*h = -10. Let t be d(h). Solve 0 = 4*k - t*k + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5 + 202689*r**4 + 962892*r**3 - 1469639*r**2 + 304062*r = 0. Calculate r.\nAnswer: -6, 0, 1\/4, 1, 50677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 335 + -275. Let h = 432 + 47. What is the remainder when h is divided by n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11210 (base 4) to base 3.\nAnswer: -111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b + 16*b = 37. Let x = 14 - 10. Let i = -4 - -16. Solve 3*w - b = -3*m - 7, i = -x*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/5*c**2 - 147\/5*c + 343\/5 - 1\/5*c**3.\nAnswer: -(c - 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 358751 - 58149 = 5*m, 3*f = 3. What is the thousands digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158500 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.13 + -87.13. Let z = 90 + o. Put -5\/2, z, 0.5, 7 in descending order.\nAnswer: 7, z, 0.5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-616)\/42)\/(4\/(-84)). Calculate the highest common divisor of 220 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*k**3 - 213*k**3 + 419*k**3 + k - k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1217082419?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-2\/5)*a))\/a**(-3)*((a**(1\/2)\/a)\/a)**(-3\/35))\/((a**(-2))**(5\/2)*(a*a*a**(-4\/3)*a*a)\/a*a**(-8)) assuming a is positive.\nAnswer: a**(2911\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 32*y**2 - 33*y + 1. Give w(-33).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 891 and 1078.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -7*a**6\/60 - a**4\/24 - 2*a**2. Let c = 50 - -9. What is the remainder when c is divided by v(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 33 = 3*c, -11 = -7*h + 5*c - c. Let k = 2\/481 + -1930\/1443. What is the closest to k in -1, 1\/3, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + i - i + 7*i + 2*i - 2*i + (3 - 3 + 2*i)*(-1 + 7 - 4) + 2*i - 5*i + 2*i + 2*i + 3*i - 6*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 + 403468*n + 2824374 = 0.\nAnswer: -7, 201741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*z + w, 0 = -z + 3*w - 32624 + 32630 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.101 + -0.10014. Round d to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*g - 4 = 0, 13*g = -2*k + 16*g - 11 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*h + 4*i - 12, h = -4*i + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 12 = m. Suppose -4*w = -3*w - m. What is the highest common divisor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6 + 7 - 2 - 3 + 6*m + 4*m**2. Let x be l(-7). Suppose 0 = 3*b - 2*g - 134, 3*b - x = -3*g - 6. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 765 + -768. Let f(b) be the third derivative of b**4\/6 + b**3\/3 - b**2. Calculate f(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 5*d - 8. Is 3 a factor of m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeylaeg. Give prob of picking 1 g, 1 l, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 175 - 2713. What are the prime factors of l?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -21, -56, -105, -168, -245?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -474, -1495, -2516, -3537, -4558, -5579?\n\"Answer: -1021*g + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*u - 8, -2*l - 5*u = -23627. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15305.069124 less than -1.39?\nAnswer: 15303.679124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188548793?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 0. What is the remainder when q - -9 - (-36)\/1 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 11 in increasing order.\nAnswer: -3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j**2. Let g(p) be the first derivative of -13*p**6\/360 - 5*p**3\/3 + 36. Let y(b) be the third derivative of g(b). Determine y(n(d)).\nAnswer: -468*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 14*g - 36. What is the remainder when t(-17) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-16)\/(-4) - 3)*-22. Let b = -10 - c. What is the greatest common factor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 10*m**2 - 16*m - 7. What is q(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/3 + 1696*b\/3 + 566 = 0. What is b?\nAnswer: -1, 849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1794)\/75)\/((-3)\/(-15)). Let v = 121 + -241. Let q = v - h. Which is the smallest value? (a) 3 (b) q (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-4 - (-33 - -36). What is the remainder when (-90)\/(-6) + -7 - o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eke when three letters picked without replacement from {e: 3, k: 13}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3064 is divided by 509.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -5, -3 in descending order.\nAnswer: 2, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - (sqrt(133) + sqrt(133) + 1*sqrt(133) + sqrt(133))*1) + sqrt(133))*-1)\/(6*(2*sqrt(49))\/sqrt(7)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, q: 2, j: 2, b: 1}. What is prob of picking 2 e?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 3*v. Let u be i(4). Let c(w) = -w**2 + 0*w - 2*w + 9*w. Let a be c(7). Solve a*d + u = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144144 - -144154. Let t be 2 - 1*(-2 - -1). Sort t, -10, j in decreasing order.\nAnswer: j, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2315926*c**3 + 562*c**2 + 1675.\nAnswer: -13895556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 99\/4. What is the nearest to -1 in 0.2, -3\/8, u?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10134 + 10115. What is the fourth biggest value in o, 0.4, 1\/4, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10180\/(-28) - -4)*1. Let i = q - -359. What is the smallest value in -0.08, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/4*l - 1\/4*l**2 - 13\/2.\nAnswer: -(l + 2)*(l + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/28 - 5\/(-4). Suppose -c*p = -0*p - 8. Suppose 3*j = -p*x + 801, j - x - x - 257 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 3*j**2 + 6*j + 6. Let b(z) = 1 + z + 4*z**3 + 4*z**3 - 5*z**3 - 2*z**3. Let p(w) = 6*b(w) - u(w). Find the third derivative of p(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*k - 49, 4*k - 3772*m = -3776*m + 72 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 584780856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354 at most 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m + 1 + 4*m + 1 + 3*m**2. Suppose 18 = 16*d - 25*d. Let p be h(d). Calculate the highest common divisor of p and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 + 24*r. Let i(z) = 6*z - 1. Give t(i(w)).\nAnswer: -108*w**2 + 180*w - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v. Let w = -185 - -185. Let u(r) = 12*r + w*r - 16*r. Calculate y(u(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from edxdx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 20.0006. Round u to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 0\/35 - (-5)\/(15\/243)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 314, 1264, 2852, 5078, 7942, 11444, 15584?\n\"Answer: 319*p**2 - 7*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b + 2 = 0, 6*b + 2 = m + 3*b. Let f(k) = 9*k**2 + 5. Let o be f(m). Suppose 0 = -3*a + o - 17. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 93*r**2 + 4*r + 4. Let l(y) = -9*y + 4*y**2 + 10*y - 3*y**2 + 1. Let f(i) = -4*l(i) + m(i). Let c(a) = -a. Calculate f(c(g)).\nAnswer: 89*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 1, 0, -4 in descending order.\nAnswer: 36, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7843125, 15686255, 23529387, 31372521, 39215657, 47058795, 54901935?\n\"Answer: x**2 + 7843127*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**3 + 3*q**2 - 12*q - 13. Calculate the remainder when 240 is divided by o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121729468 and 40?\nAnswer: 1217294680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 25 = -1. Let d be (b\/27)\/(4\/6). Let o = 32 + -33. Is d at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*r + 361*r = -363*r + 22 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723220800 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142937 - 142935. Suppose 3*o = -3*i + 243, -o + 172 = 3*i - 69. What is the highest common divisor of i and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 971*y + 1989*y)*(6 + 0 - 4) to the form x*y + j and give x.\nAnswer: 2036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 252236980 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 15*s + 26*s - 11*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1120074 divided by 15\nAnswer: 373358\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125\/3 - 41. Determine p so that k*p**2 + 2\/3*p + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1219300\/7 - 174186. Let i = 11 - 17. Which is the third biggest value? (a) 3 (b) -0.1 (c) i (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 27. What is t(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6370965 is divided by 579177.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 31*j**2 + 33*j**2 + 31*j**2 - 67*j**2 - 26*j**2. Let p(y) = -73*y**2 + 22*y. Give p(h(r)).\nAnswer: -292*r**4 + 44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2880610 (base 11) in base 3?\nAnswer: -100022110021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-2)*(304668\/294)\/93.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - (13 - -25)) + (18 - 10 - -100)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q + 1. Let m be h(-4). Let o = 5 - m. Let i = o + -3. Solve i = -d, 3*d + 8 = -z + 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*u**3 - 5 - u + 0*u**3 + 10*u**3 + 30*u**5 wrt u?\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 10. Let p = t + 3. Let n = 13 - 8. Which is the biggest value? (a) n (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 + 14 = 3*t, 2*t + 10 = 5*v. Let a be 0\/(2 - (4 - v)). Differentiate a - 7 + 4 + 4*y**2 wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300019?\nAnswer: 89, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365750 and 836.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3816 and 3498?\nAnswer: 41976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 25. Suppose -3*l = 4*p - 2*p - 18, 4*p + 4 = c*l. Suppose 4*j - 6 = 3*k + 156, l*j = k + 166. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186216*w**3 + 186207*w**3 - 562128*w**3 + 189710*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*x + 0)*(17 - 17 + 28*x)*(x**3 + x**2 - x**2).\nAnswer: 56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86874 is divided by 1114.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012684158 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/60 + 5*b**4\/24 - b**3\/3 - b**2. Let g be c(3). Suppose 2*y + 0*y = 0. Solve y*q = -g*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10+-72074488.95024\nAnswer: -72074478.95024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189*b**3*g**3 + 7*b**3*g**2 + 579*b**3*g - 19*g wrt g?\nAnswer: 1134*b**3*g + 14*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 77?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2. Suppose -75 = 3*v + 4*s, v - 5*s = 3*v + 57. Let t = -19 - v. Let o(i) = 0*i - t*i + 2*i - i. Calculate o(n(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -241.21514*-3\nAnswer: 723.64542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5*s**3 - 56720*s**2 + 113455*s - 56730 = 0.\nAnswer: -11346, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19 and -21\/73586?\nAnswer: 73586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.69119 + 0.59119. Let t(j) = -3*j**2 - 5*j + 6. Let h be t(5). Which is the closest to r? (a) h (b) -0.5 (c) 0.1 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 + 13 = 0, 4*j + 4*h = -32. Let x(k) = k**2 + k + 1. Let d(b) = 16*b**3 + 24*b**2 + 8*b - 4. Let q(m) = j*x(m) - d(m). Factor q(v).\nAnswer: -4*v*(v + 1)*(4*v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22987 + -9236. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**8\/84 + 2*d**7\/35 - d**6\/10 + d**5\/15 + 2*d**2. Factor j(v).\nAnswer: -4*v**2*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*m**4 + m**3 - 5380*m**2 - 2*m - 184233 with respect to m.\nAnswer: 20*m**3 + 3*m**2 - 10760*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-1 + (0 - -3)). Let m(s) be the first derivative of p*s**3 - 2 + 0*s**3 - 2 + 0*s**3. Let v(c) = -2*c. Give m(v(a)).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8028387*z**4 - 10*z**3 + 249555560?\nAnswer: -32113548*z**3 - 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*z - 3*w - 501, 273 = 2*z - 5*w. Find the second derivative of -z*o**2 + 59*o**2 + 31*o**2 + 51*o wrt o.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330762 is divided by 165377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12051649?\nAnswer: 12051649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -17*s**4 - 6*s**3 + 12*s**2 - 19*s + 2. Let m(p) = p**3 - 2*p**2 + p. Let g(l) = f(l) + 6*m(l). Find the second derivative of g(o) wrt o.\nAnswer: -204*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**40*t**3\/(t*(t**(-5\/4)*t)\/t))**(-3\/11) assuming t is positive.\nAnswer: t**(-279\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from {p: 2, i: 1, s: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256027 to the power of 1\/6, 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 1 t and 1 b when two letters picked without replacement from {t: 1, k: 6, o: 3, b: 5, f: 2}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - (11 - (-4 + 16))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*z**2 + 19*z**2 + 19*z**2 + 3*z**2 - 5*z**2 + 3*z**2 + (-3*z - 2*z + 4*z)*(2*z - 4 + 4) - z**2 - 2*z**2 + z**2 + 2*z**2 - 2*z + 2*z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 20*c - 127. Let a be v(6). Let i(m) = -3*m**2 + 11*m + 25. Let f(h) = -2*h**2 + 7*h + 17. Let r(y) = a*f(y) + 5*i(y). Let u = -8 - -13. Give r(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/794 and 27\/7.\nAnswer: 5558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -7.8. Let o = 9681 + -9680.9. What is the closest to -2\/3 in -15, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -371*d - 34. Let s be x(-6). Suppose 2*n = 18*n - s. List the prime factors of n.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -202*n + 28157. What is q(132)?\nAnswer: 1493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 9:40 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288223022.\nAnswer: 2, 8597, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -3.6. Which is the nearest to 0.1? (a) p (b) -0.2 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22795 and 18\/392365.\nAnswer: 18441155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttfttt. What is prob of picking 2 t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 6. Let k be r(5). Suppose -5*t + u + 56 = -u, -4 = -t + k*u. Suppose t = -j + 4*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*u**5 - 6066*u**4 + 595623*u**3\/5 - 3114612*u**2\/5 + 235068*u - 23040 = 0. Calculate u.\nAnswer: 1\/5, 10, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.88 + 0.12. Let c = 9.0000011 - y. What is c rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 6412364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**2 - 2*y**2 + 5*y**2 - y**2 - 36. Let b(m) = 24*m. Determine u(b(n)).\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1318*l = 1277*l - 82 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000052673 rounded to 7 dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/10)\/(36\/(-450)). Let w be (-2)\/(-2)*(-4)\/(-2). Suppose -15 - 8 = -4*y - r*s, -w*y + s = -15. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 441, 867, 1291, 1713, 2133, 2551, 2967?\n\"Answer: -a**2 + 429*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s**2 - 3*s + 3*s)*(-6 - 16 + 9) + s**2 - 2*s**2 - s**2)*(4 - 2 + 1).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 518397 to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -271584 divided by 328\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 3*w**2 + 18*w + 2. Let h(b) = -b + 1. Let i = 11 - 20. What is the least common multiple of h(i) and n(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r - 8. Let q(w) = w + 1. Let h(j) = p(j) + 5*q(j). Let x(g) = g + 2. Let b = 11 + -14. Determine b*x(m) - 2*h(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (-31 - -28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.692447 litres?\nAnswer: 1692.447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -0.4, -0.066, -1.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -23 and -1.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 10*u = -a + 3, -35 = -5*u + 3*a. Let w = 273 - 17. Calculate the smallest common multiple of u and w.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114\/109 - -5727\/1090. Let q(l) be the third derivative of l**5\/60 - 5*l**4\/24 - l**3\/3 + l**2. Find the common denominator of q(3) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k. Let c(y) = 4*y. Let b(v) = -v. Let q(d) = -10*b(d) - 2*c(d). Calculate q(n(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**9\/168 + c**5\/20 + c**2 - 1. Let p(l) be the second derivative of y(l). Find the third derivative of p(q) wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 0*b - 1572. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 19*x**2. What is the remainder when b(3) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.6 + -7.6. Let p(q) = q - 1. Let h be p(6). Which is the third smallest value? (a) 4 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/5229 and -9\/6094690?\nAnswer: 54852210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**5\/30 - p**4\/12 - 23*p**3\/6 - 75*p**2. What is the remainder when q(6) is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416416494 a multiple of 7989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*g - 17 = -14, -5*d + 15 = 3*g. Solve -1 - 2 = -d*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339.47926 - 339.4. What is x rounded to 3 decimal places?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -5 - ((16 - 2) + 15 + -14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t + 38*t - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + 83. Suppose 0 = -5*l - 4*n + 20, -2*l - 5*n + r = -15. Determine b, given that l + 0*b + 2\/11*b**3 - 4\/11*b**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 70 = -6*z + z, 0 = 403*r - 407*r + 16*z + 16 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**6\/6 + 63*w**5\/20 - 479*w**4\/60 + 51*w**3\/10 - 7*w**2\/5 - 14*w + 54. What is l in z(l) = 0?\nAnswer: -14, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1038.386 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*r**2 + 10*n**2*r - 7*n**2 - 141900*n*r**5 + n*r - 27*r wrt r?\nAnswer: -2*n**2 - 2838000*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -349.805?\nAnswer: 6.9961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 11 - 19. Suppose -4*v - 4 = 4*l, -a*l + 11 = -5*v - l. Let m = -3 - v. Put 4, -3, m in descending order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -159, -157, -153, -147, -139, -129?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 - -35. Let b = y - -6. Let t = b - -54. Calculate the lowest common multiple of t and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48.942 - -0.058. Let r = v + -60. Let w = -2 + 2.1. Which is the smallest value? (a) r (b) w (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2288 and 36.\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 - -317. Suppose 0 = -4*y - 6*y + p. Calculate the remainder when 30 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/3 - 5. Let p(u) = 42*u. Determine p(h(n)).\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0446 rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845719.\nAnswer: 7, 120817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 10*l - 17. Let o be n(8). What is the closest to o in 0.3, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 612 - 249 = 0. Is t a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**6\/120 + a**3 - 17*a**2. Differentiate b(x) wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -52495*d**5\/2 + 839905*d**4\/4 - 157455*d**3 - 2099845*d**2\/2 - 1312675*d\/2 - 375\/4 = 0. What is d?\nAnswer: -1, -3\/20998, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3)*(p\/(p*p*p*p**4)*p)\/p)\/(p**(-5\/3)\/(p*p*p**12)))**(-3\/8) assuming p is positive.\nAnswer: p**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/51*(-10 + 704\/77). Which is the second biggest value? (a) -5 (b) -3 (c) 1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1399311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p**2. Let i(o) = -2*o**2 - 12*o. Determine s(i(u)).\nAnswer: -12*u**4 - 144*u**3 - 432*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6153 + 26981 = 2*a, 0 = 2*a - 2*x - 20814. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 72, 1, -1611.8, 0?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 8. Suppose 0 = -6*c - 44 - 34. Let t be y(c). Suppose -3*m - 95 = 2*d - 233, -3*d = -t*m + 230. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -21*g - 121. Let l be x(-6). Solve -w - 2*w = 15, 5*r - l*w - 15 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + u + 10 = 0, 58 = 3*h - 5*u + 32 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13695802.23 to the nearest 100000.\nAnswer: -13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 32*i = 3*d - 9, -5*i - 40 = -5*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 11*a**2 + 10*a. Let k be (18\/(-8))\/((-3)\/(-16)). What are the prime factors of j(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 93? (a) -0.4 (b) 4 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 8. Suppose 1 = l*s - 4. What is the units digit of 3\/(9\/21) - s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/587634 and 11\/21176.\nAnswer: 2350536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 11*h**2 - 20*h + 21. Is g(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 3*b - 2. Let g be p(-4). Solve g + 14 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(500)*-3 + (0 + sqrt(500))*-6 - -2*((4 + sqrt(245) + -1 - sqrt(245)) + 3)**2.\nAnswer: -120*sqrt(5) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -187, -139 in descending order.\nAnswer: 48, -139, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by 7.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p + 18, -21 = -4*a + p. Suppose -w = -9*s + 7*s, -a*w = -s. Solve w = 3*z + g, z + 4*g - 10 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + -0.2. Let z = v + -0.3. Which is smaller: z or 0.18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**3\/6 - r**2\/2 + 28*r. Let p(i) = 3*i**2 + 3*i + 3. Calculate -p(a) - 3*z(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37977 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 781481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-376)\/96 - -4)\/(1\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08915356 + 0.130998.\nAnswer: 0.22015156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11552778 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*v + 1781 - 124*v - 197*v - 416*v.\nAnswer: -607*v + 1781","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h = -2*i - 14, 0 = 4*i - 12. Suppose 0*d + 5*d = -h. Let g = 5 + d. Solve -g*m + 4 + 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:18 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 275, 273, 271?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i - 7. What are the prime factors of s(-10)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2576 and -61\/41384.\nAnswer: 1903664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 2*k**3 + 2*k**3 + (-2*k + 0*k - 7*k)*(-5*k + 5*k - 2*k**2) + (-2*k + 0 + 0)*(-10*k**2 - 73*k + 73*k) + 3*k**2 - 3*k**2 - 2*k**3.\nAnswer: 37*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -27*d + 24*d. Find the second derivative of -64*r**d - 25 + 46 - r - 22 - 18*r**2 wrt r.\nAnswer: -164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -34, -7, -11252.\nAnswer: -11252, -34, -7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1306.6 - -2595.6. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -29. Suppose -g + 0 = 4*x. Is (157\/x)\/(1\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 8. Let a be i(11). Suppose q + 3*p = 4, -4 = -2*q + 5*p + 4. Solve -j + 2 = -5*y - 14, a*y = -q*j - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - o**2 + o**3 - 50 + 24 + 26 to n*o**2 + k*o**3 + w*o + p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 34045*c**2 - 26*c - 1. Let n(i) = i. Give d(n(x)).\nAnswer: 34045*x**2 - 26*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -12*c**2. Let i(k) = -k**2 - 45*k. Calculate i(f(h)).\nAnswer: -144*h**4 + 540*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -171, -421, -691, -981?\n\"Answer: -10*v**2 - 220*v + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 4. Let h be d(-4). Let y(r) = -r**2 - 3*r - 2. Let u be y(-2). Sort u, -1, h in increasing order.\nAnswer: h, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*s + 836 = -212, 4*h + 2*s + 1368 = 0. Let x = h + 2317. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11499823 to the power of 1\/2, to the nearest integer?\nAnswer: 3391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -8 + 25 - 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13282 and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11844, -11339, -10834?\n\"Answer: 505*k - 12349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5 + sqrt(300) + sqrt(300)*-1 + sqrt(300) + 0 - (sqrt(300) - (4 + sqrt(300)*1)**2)*-4))*-2.\nAnswer: 540*sqrt(3) + 2538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 115, -1, -228 in descending order.\nAnswer: 115, -1, -3, -6, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/4 + 11*n**3\/3 - 7*n**2 - 14*n + 6. What is the remainder when 16 is divided by s(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1239645 tonnes in kilograms?\nAnswer: 123.9645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4134 is divided by 528.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19816242*i - 19399342 wrt i.\nAnswer: 19816242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f = -195. Let i = -6 - f. Suppose 25 = 5*j, -3*o + 4*j + i = -13. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/12)\/(1\/(-2)). Suppose x*n = -3*v, -v = -6*v - 3*n + 16. Suppose s = w - 0*w, 3*w = 5*s + 10. Put v, w, -4 in decreasing order.\nAnswer: v, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 54152.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 l when four letters picked without replacement from uuultlyyuuoylyol?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r**2 + 34*r - 3205. Let f(s) = 16*s**2 - 39*s + 3206. Let x(n) = 5*f(n) + 6*y(n). Find the first derivative of x(b) wrt b.\nAnswer: 4*b + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.5 - -38. Let m = 48 + -50. Which is the closest to -2? (a) v (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*m - 28*m - 14*m + 3.\nAnswer: -79*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose v = -2*p - 2 + 124. Suppose -5*t - 21 + p = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**5\/3 - 3*i**4 + 98*i**3\/3 - 43*i**2 - 30*i = 0.\nAnswer: -10, -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**3*j*j\/(j\/(j*j\/j**5)))\/((j\/(j*j*j*(j\/((j*j\/((j\/(j*j**2))\/j))\/j))\/j*j))\/j**(-2\/17)) assuming j is positive.\nAnswer: j**(-70\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-3 - (2 - 4)). Suppose -6*w + p = -5*w. Let n(u) = u + 9. Let a(z) = -4*z - 28. Let f(s) = 2*a(s) + 7*n(s). What is f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 12) to base 13.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 - 3. Let v(z) = -5*z + 12. Let w be v(4). Let x(f) = 6*f**3 - 8. Give w*c(y) + 3*x(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 154960162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*m - 7*s + 4*s, m = 4*s - 4. Solve 12 = 4*i - m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 203 + -193. Suppose 3*p = 3*h + 2*p - 10, -h + a = p. Suppose -2*l - 135 = -5*q, 3*q - 5*l = -2*q + 150. What is the greatest common divisor of h and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15469, -25403, -52375, -104905, -191513?\nAnswer: -320719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by -5.\nAnswer: -92\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7. Let a be (-4)\/6*t\/2. Find g such that -5\/3*g**3 + a*g**2 + 1\/3*g + g**4 + 0 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * -2.66.\nAnswer: 0.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/4 of a century?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 5*b + 1. Suppose o + 11 = 4*o + 2*u, -o + 3*u = 0. Suppose 11 = 4*s + o. What is the remainder when d(4) is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2*(3\/10)\/(-3)*(-1875)\/25?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5731*n - 153 = 5748*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*d - 624 = 87*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12857 by -11.\nAnswer: -12857\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 24*p - 64*p = 1050 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47033, -93489, -139351, -184619, -229293, -273373, -316859?\n\"Answer: 297*i**2 - 47347*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18*-294656\nAnswer: -5303808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + sqrt(700))*-2*-3)**2.\nAnswer: 2880*sqrt(7) + 25776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21323 + 5627 = 539*r for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741621717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005253077396 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -952913, -3811642, -8576191, -15246560, -23822749, -34304758, -46692587?\n\"Answer: -952910*b**2 + b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2152*y**2 + 4829*y**2 + 2579*y**2 - 617*y**2.\nAnswer: 8943*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/2 - 2889*h\/4 - 7749.\nAnswer: 3*(h - 492)*(2*h + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -135, -140, -145, -150, -155?\n\"Answer: -5*j - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, -1\/3, 236\/2505?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 13438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6815.4 - 5900.18\nAnswer: -12715.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -497*m - 1958. Let x be p(-4). What is the greatest common divisor of 2710 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let d be 9\/(-12)*k\/3. Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 9:30 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -296 - -16.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3025*m**2 - 2*m - 637 + 81 - 767*m**2.\nAnswer: 2258*m**2 - 2*m - 556","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 421, 502, 615, 760, 937?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*r + 22, -5*w + r + 21 + 11 = 0. Let n(g) = 5*g - 4 - 5 + w. What is n(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-675)\/(-12)))\/(4\/(-50)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 33 or 2?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/8, -4, 5\/42, -2\/15, -1 in increasing order.\nAnswer: -4, -2, -1, -2\/15, 5\/42, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 226.4973 and 1.\nAnswer: 227.4973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 15*n - 4. Let j(c) = -29*c + 9. What is -6*j(x) - 13*l(x)?\nAnswer: -21*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.79 + 0.41. Let z = k + -3. What is the nearest to z in 3, 2\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2. Let d(t) = -t**3 - 2*t**2 - 6*t. Let y(v) = 3*b(v) + d(v). Calculate the remainder when 22 is divided by y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 - 2 = 0. What are the prime factors of (-4)\/n*(-180)\/(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 24*b**3 - 5977*b**2 + 267*b - 4478. Give q(249).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/35 and 37\/1450?\nAnswer: 10150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 35*s - 35. Let d be w(9). Calculate the greatest common divisor of d and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6*b + 13 = 5*b, 0 = 4*y - b + 77. Let w = y - -25. Solve 0 = -4*o + 3*v - w, -3*v = 3*o - 8*o - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnnfvffvnvffnf. What is prob of sequence nnnf?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (5 - (-1 + 3)). What is the fourth smallest value in -1\/5, d, 8, 0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkk. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = x + 7. Suppose -4*f - 4*j + 96 = 0, x*f + 0*j + 3*j = 95. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1308*k + 73456 = -284*k + 28880 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((98\/2)\/(-147))\/((10\/48)\/(-1))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -205.76197 to zero dps.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1669 is divided by 1637.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604843864.\nAnswer: 2, 179, 422377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.24 - -0.17. Let t = q + 10.22. Let v = t - -2.15. What is v rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 6*a**4 - 3*a**4)*(a - 3 + 3) + (-1 + 3*a**2 + 1)*(3*a**3 - 6*a**3 + a**3).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 36. Let y = 23 - n. What is the first derivative of x - 2 - 1 + y*x + 2 wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/104 and -121\/12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 5)*(-2 - 2 + 2)*(-2 - 1 + 2)*(-27*k - 3*k - 17*k) in the form a*k + s and give a.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*d*i*w**3 + 114*d*i*w - 5*i*w**2 - w**3 + 4*w**2 wrt d.\nAnswer: 24*i*w**3 + 114*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.266 - -4.866. Sort -2, w, 8\/7.\nAnswer: -2, w, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4763?\nAnswer: 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 10:51 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-8) + 3\/(-2). Let p = -6 + 10. Let j be -5 + 3 + (-24)\/(-14). Which is the nearest to 0? (a) p (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 8) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 - (-80 + 18 + (-17 - -30)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*r + 3*r, 2*r = 0. Let y(q) = -q + 4. Let x be y(j). Is 3*x*498\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167.41+-0.4\nAnswer: 167.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**2 - 2. Let i(p) = -p**2 + 1. Let v(g) = 2*i(g) + q(g). Let b(m) = -m. Determine v(b(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 27*l**2 + l - 24. Let w be g(27). Solve m - 15 = -w*s, -3*s - 2*s = -m - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 561*j**2 - 267*j**2 - 249*j**2 + 0 + 1.\nAnswer: 45*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 - 2*w**2 + 3*w**2 + (-83*w + 127*w - 80*w)*(2*w - w + 5*w) - 2*w**2 + w - w - 2*w**2 + 2 - 2.\nAnswer: -218*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10240380 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.8 - -6. Let h = -47 - d. Let k = -18 - h. Round k to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w - 21 = 0. Let c(z) be the first derivative of z**4\/4 + 8*z**3\/3 - z**2 - 15*z + 264. What is the lowest common multiple of c(w) and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 119 = -31. Suppose 4*l + 0*l - c = 0. What is the third derivative of 1027*n - 1027*n + 22*n**4 + 31*n**2 + l*n**4 wrt n?\nAnswer: 792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3910, -6848, -14824, -30358, -55970, -94180?\nAnswer: -147508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7*u - 174 = -25*u. Suppose -5*x - 5*c + c = 30, 3*c - 12 = 2*x. Put u, x, 0 in descending order.\nAnswer: u, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968255 is divided by 738?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - 16*o - 5 + 5*o + 10*o + (-9992 + 9992 + 146*o)*(4*o - 2*o + 0*o).\nAnswer: 291*o**2 - o - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/6 - (377\/(-12064) + 58\/(-192))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*x + 3747, -3*x - x + 4685 = 5*n. Suppose 5*i - n = -4*q - 89, 5*i - 3*q = 872. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:00 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987.512 millilitres in litres?\nAnswer: 2.987512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21812 and -79944.67.\nAnswer: -58132.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23406 and 141?\nAnswer: 23406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09403 and -0.5.\nAnswer: -0.047015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 910504641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**4 - 3*d - 3. Let h(b) = 221*b**4 - 1315*b - 12. Let n(k) = 4*g(k) - h(k). Find the second derivative of n(j) wrt j.\nAnswer: -2604*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggr when three letters picked without replacement from {g: 2, r: 1, x: 5, v: 8}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -52*k**2 + 4*k - 2. Let i be n(2). Let p = i + 75. Is (-1 - -2)\/((-1)\/p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*l + 1376 = 210*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -1, -4, 1321?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y - 6*y - 3 + 7*y.\nAnswer: 10*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -0.01, 28, -0.187, 0.4?\nAnswer: -0.187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 61 = -73 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -11*n + 74 - 2. Solve n*z - 5*j = 25, -4*j = -4*z - 2*j + 10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -11529, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t. Suppose -2*r + 6*r + 2*g - 72 = t, 0 = 3*r - 4*g - 32. Let s be 5\/((-2)\/80*5\/(-2)). Calculate the greatest common factor of r and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 2*t**2 - 2*t + 1. Let g be c(1). Suppose m - 4 = -g*m. Which is bigger: 6 or m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*u = 18. Suppose 5 = 5*i - 7*m + 2*m, -u*i + m = -7. Let g be -21*((-3 - -2) + 0). Calculate the greatest common divisor of i and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3058835 is divided by 2039.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.4 + -109.6. Let n = d - -130.48. Let u = -1.12 - n. What is the nearest to 0 in 4, -0.08, u?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, z: 2, b: 6, i: 2, g: 3}. Give prob of sequence bt.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102 + 3120141?\nAnswer: 3120243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9556?\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24147577 take away -434528?\nAnswer: -23713049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 15*q + 4. Calculate f(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -q + 4*y, 2*q + y = q + 3. Suppose -q*c = -11*c + 12. Suppose c*p = 139 - 10. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3066079, 0, 1, -2 in decreasing order.\nAnswer: 1, 0, -2, -3066079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/138 and 37\/10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 8*h - 750. Let w = 471 + h. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 264\/55 - (-1)\/5. Suppose 2655 + 297 = 4*p + 4*r, 2*p = n*r + 1511. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (-4 + 9 + (11 - 12)) - -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53.17 + 53.67. Which is the fifth smallest value? (a) -5\/3 (b) 2\/3 (c) f (d) 6\/13 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111101000100 (base 2) to base 11.\nAnswer: 25612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4 = -p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26219 or 26223?\nAnswer: 26223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 - 1.46. Let r = 1.3 + f. Which is the biggest value? (a) -5 (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198\/7 + 3\/7*i**2 - 51\/7*i = 0 for i.\nAnswer: 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1121000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-4))\/(3\/(-52)). Let k be 1 - (-3 - 4484\/34 - 24\/204). Let f = k + o. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (16 - 0) - -17\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 53664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1339115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34813*l - 43838 with respect to l.\nAnswer: 34813","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.1 and 0.02?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -227*l**2 - 1814*l + 11. Give k(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 62*x**2 + 120*x - 3705. Give m(31).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 8*v - 4*v - 50, 5*v = 3*g + 64. Let y = -26 - -18. What is the remainder when (-58)\/y*52\/13 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:52 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/153 and 79\/102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 4\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 785253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1432.9 - -1435.9. Which is the second smallest value? (a) r (b) -5 (c) -5435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(181 + 6 + -4). Which is smaller: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2142)\/(-378))\/(3*2\/18*-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, -7684 in decreasing order.\nAnswer: -3, -47, -7684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 q when four letters picked without replacement from qnnnnnnqqqn?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:44 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2826*x + 60. Let r(u) = -1027*u + 22. Let f(j) = 11*r(j) - 4*y(j). Suppose -5*p = 0, s - 2*s = -p - 3. Let t(h) = -6*h - 2. What is s*t(g) + 2*f(g)?\nAnswer: -4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 2*o**5 + 3*o**3)*(1711 + 807 - 213).\nAnswer: 4610*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 1250.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 124*q - 1327 - 2021 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56884?\nAnswer: 2, 14221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 188706 not equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10 + 18*p - p**3 + 0*p**3 - 8*p**2 - 24*p. Let v be d(-7). Suppose -v = -h, -6*l + l = h - 58. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1322003 + 23333?\nAnswer: 2012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 1, 0.23, 1\/12, 19?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (1 - -2) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 21480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b = -24*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 2:23 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 4*i - 22. Determine q(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {r: 1, v: 4, k: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 + 56*u**2 - 17*u + 14. Determine v(-19).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212211 - -10?\nAnswer: -1212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2520*w - 18583*w - 1316*w = -346*w - 2759125 for w.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1856 + 3534. Is 59 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5344.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/1572*(-2)\/(9\/((-432)\/64))?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3970*j**3 + 2 - 3967*j**3 + 2 - 4*j**2 as w*j**3 + f*j + k*j**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2789556?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 4, w: 1, o: 1, u: 4}. Give prob of picking 1 m and 1 w.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 83*n - 26326. What is u(320)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 9)*3\/(-3). Let s be l - 0 - (-45)\/47. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192921222*z**2 - 226796355*z?\nAnswer: -385842444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-5)\/(-15)*3. Let c(z) = -z**3 + 3*z**2 + 2*z + 2. Let f be c(n). Is 10 a factor of (f\/8)\/((-57)\/(-760))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 + 0.05. Let l = 0.04 - m. Round l to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2 = h. Let i be 1 + -2 + (-10)\/h. Suppose 9*v = i*v. Solve v = -2*g + 1 + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 3*o**2 + 5*o + 2. Let n be p(-4). Let v be n\/10 - (-6692)\/35. Suppose 2*x - 106 = -5*d, d = -4*x + 21 + v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 - 5*r - 5. Let p(z) = -19*z + 1. Let v be p(-1). Let q be (-2)\/(-5) + (-108)\/v. Let g(o) = -o**2 + o + 1. Determine q*g(a) - i(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4539 is divided by 1465?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 301, 260, 213, 166?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1266 - 11?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1575649 - -14?\nAnswer: 1575663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7694 is divided by 2484.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -376, -732, -1088, -1444, -1800?\nAnswer: -2156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*1 - -11*168\/(-231).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**2 + 3*y + 9*y**2 + 2 + 150*y**3 - 54*y**3 + 11 - 1029*y**3 wrt y.\nAnswer: -5598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*i - 85, 4*f + 3 = i - 2. Which is smaller: 215\/9 or i?\nAnswer: 215\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-1375))\/(2\/(-10))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 908 + 872 = 0. Let x = 18.8 - 2.8. Let a = x - 15.8. Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-6))\/l**(-5)*((l*(l\/(l\/(l*l**6*l)))\/l*l)\/l*l)\/l**2)\/((l**(-1\/4))**(-5\/8))**(2\/5) assuming l is positive.\nAnswer: l**(111\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -94*y**2 - 763*y + 18. Calculate o(-8).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147\/(-196)*(50065\/(-3) - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 20*m - 31 + 32 + 267*m**2 + m**3 - 288*m**2. Give k(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14 = 4*y, -15 = -2*y - 4*d + 1. Let a be (y - 1)\/(17\/(-17)). What is the common denominator of 29\/(-15) + a - 2 and -35\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50436 by -3.\nAnswer: -16812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*j**4*s**2 + 4517*j**4 + 5308*j*s**2 + 120*s**2 wrt j.\nAnswer: -864*j**2*s**2 + 54204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 680, 685, 690?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-103)\/((-20)\/(-12) + (-4 - -2)). What is the third derivative of -14*j**2 - 6*j**2 - 8*j**5 - g*j**3 + 309*j**3 wrt j?\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -1\/9*w**2 - 88804\/9 - 596\/9*w = 0?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3 - (-44)\/15). Let c be (-15)\/6*(-48)\/f. Calculate the greatest common factor of 24 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/((-20)\/24*(-12)\/140)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 2 + -3 + -6 + (1122 - 1126)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550424 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*o - 3*f, -4*o - 5 = f + 3. Suppose -7 = -m + 27. What is the remainder when m is divided by 18*((-5)\/(-3) + o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -15.5434475373911.\nAnswer: -10.5434475373911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 28*p**6\/15 + 15*p**2 + 98*p + 95. Let h(l) be the first derivative of q(l). What is the derivative of h(n) wrt n?\nAnswer: 224*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3058 + -13478.\nAnswer: -16536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 4443 = -9486 - 18447. Calculate the highest common factor of p and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10004*l**2 + 6*l**3 - 10004*l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x. Let n(c) = -532286*c - 1. Calculate w(n(a)).\nAnswer: 1596858*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n**3 - 436*n + 426.\nAnswer: 3*n**2 - 436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d**(2\/7)\/d)*d)**(16\/9))**(-1\/10))**(-13) assuming d is positive.\nAnswer: d**(1976\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1974 = 2*n, 5*n - 4*n + 3 = 0. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 27 + 65 = 0. Let x(a) = 3*a - g + 23. Let i(y) = -5*y. Give i(x(v)).\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1861 smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*3\/(-5) + 376 + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*r**2 - 690*r**3 + 602*r**3 - 101*r**2.\nAnswer: -88*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)\/k)\/k*k**(-2\/67))\/(k**34*k\/k**(-2\/23)) assuming k is positive.\nAnswer: k**(-66443\/1541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 337, 319, 267, 163, -11, -273, -641, -1133?\n\"Answer: -3*d**3 + d**2 + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.71 times 4?\nAnswer: 150.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**2))**(25\/3)\/((d\/(d\/(d\/d**(-5\/2))))\/(d**(-4)*d)) assuming d is positive.\nAnswer: d**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o - 8. Let g(y) = 4*y. Let v be g(2). Let h(d) = -4*d + 5. Let z(w) = v*h(w) + 5*n(w). Let s(m) = 3*m**2. Give z(s(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 3*s + 2. Let v be 2 + (-4)\/(11 + 1)*-81. Suppose -v*w = -33*w - 20. Determine g(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72295 or -144587\/2?\nAnswer: -144587\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 8*f + 5. Let q be b(-8). Let i be q\/(-15) - (-82)\/(-6). Let d = 33 - i. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 41*r - 42. Let h be y(9). Suppose -4*t + h = 63. What is the highest common divisor of 231 and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475))**2 + 2 + ((sqrt(171)\/(sqrt(72)\/sqrt(8)))**2 - sqrt(19)) + 2 + (((2*sqrt(209) - sqrt(209))*1)\/sqrt(11) - (-1 + sqrt(2736) + -4))**2.\nAnswer: -111*sqrt(19) + 2822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361514599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -238206 + -2?\nAnswer: -238208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5684592 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5. Let m be (-5 + -1 + 0)*-1. Let z be m + (2 - 3) + 0. What is the biggest value in 4, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - 52 - (2 - 13).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 4. Let n be j(-3). Let s(r) = 9*r**2 + 2*r - 1. Let u be s(n). Let d(a) = a**2 - 9*a - 11. Let i be d(u). Which is smaller: -4\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-18) + ((-1781)\/13563 - (-2)\/(-22))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znj when three letters picked without replacement from {j: 1, z: 4, i: 4, n: 6}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 + (-16)\/56. Which is smaller: 2\/89 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25115 - -2938408\/117. Calculate the common denominator of g and 41\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 102899 and 946?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 43*w**5\/7 + 1194495*w**4\/7 + 8293635533*w**3\/7 - 25275188471*w**2\/7 + 17752197924*w\/7 - 771839524\/7 = 0?\nAnswer: -13891, 2\/43, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.514 - -1.214. Is -8\/7 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*b + 11516 = 131*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 0 - 1\/6*u**4 - 3*u**2 + 0*u + 0*u**3. Let a(n) = -5*n**2 + 13*n**2 - n**2 + 2*n**2 - 8*n**2. What is w(a(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 928177 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*t = -96*t + 27. Suppose 5*c + 27 + 18 = 0. Let o(u) = u**3 + 8*u**2 - 10*u - 5. Let z be o(c). Solve n + t = z*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 6:28 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c. Let g = c + 4. Solve -d = -5*h + 8, 10 = -2*h - 0*h - g*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3872 and 7472.\nAnswer: 1808224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 20*k - 25*k - 65, 31 = d - 4*d + 5*k for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45158 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/9 - 1234*g**2 + 7406*g\/3 - 11110\/9.\nAnswer: -2*(g - 1)**2*(g + 5555)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1484\/6 + (-10)\/(-15). Suppose g - 3*g = 2*f - 60, 154 = 5*f + g. Calculate the highest common factor of f and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313 - -294 - (-8 - 54)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 272433689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5256*r - 27955*r + 15964*r - 54910*r.\nAnswer: -72157*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 94130 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/7, -90, 3, 2, 0?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*c**2*o**3 - 150*c**2*o**2 - 10571*c**2*o + 2375*c*o**3 + 7241*o**3 wrt c?\nAnswer: -54*o**3 - 300*o**2 - 21142*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 142*k**3 - 26*k**2 + 5*k + 23. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3)\/((-200)\/240)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/19 - 4*r**2\/19 + 50*r\/19 + 100\/19.\nAnswer: -2*(r - 5)*(r + 2)*(r + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -448*x + 24*x + 20336 = 232*x for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29868769?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54.879 - -0.121. Let y = -58 + c. Sort -0.7, 0.2, y, 5 in ascending order.\nAnswer: y, -0.7, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) - 9\/(-2). Suppose -3 = -t*r + 7. Suppose g - 40 = -4*b - 3*g, 18 = r*b + g. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (33\/27 - 3). Let s = 6.61 + 0.69. Let r = 7 - s. What is the nearest to -1\/4 in -1, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 141885, 141895, 141925, 141981, 142069, 142195?\n\"Answer: k**3 + 4*k**2 - 9*k + 141889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r + 1. Give q(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23094 + 78677 = 2168*i - 375*i for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:10 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -75, -108, -153, -210?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 55013?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + 7. Let c = u + 55. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*l - 595, 4*s - 4*l - 2033 = 395. Is 67 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*t**2*w**3 - t**2*w - 872*t**2 wrt w.\nAnswer: -315*t**2*w**2 - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 + 2*k - 17. Let d(i) = 2*i**2 + i - 6. Let j(h) = -7*h**3 - h**2 - 5*h + 5. Let p be j(1). Give p*d(o) + 3*l(o).\nAnswer: 2*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-18) - (-1382)\/60. Let l = d - 23. Let a = -14 + 18. Put 3, l, a in decreasing order.\nAnswer: a, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -1, 2.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 4 + -4 - (305 - 301).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32096767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(14 - 6 + 12)*(-1 - 2 + 2)*(-g + g - g**3 + (0 - 1 + 3)*(-2*g**3 + 4*g - 4*g) + g**3 - g**3 - 5*g**3).\nAnswer: -400*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 798215 divided by 159643\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 7*n - 5*n + 22, 0 = -z - 4*n - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g - 6 - g**2 + 2*g**2 - 11*g. Let b be m(5). Find the second derivative of -2*r**4 + 3*r**b - 3*r + 0*r**4 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 175\/(-42))*42.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3)*-2*(-21)\/(-28)*(-624)\/(-396)?\nAnswer: -78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*a - 1984 - 2*a + 2029.\nAnswer: 19*a + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-300)*8)\/(((-2)\/20)\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)\/(sqrt(7) - (sqrt(7) + (sqrt(175) - sqrt(7)) - sqrt(7)) - sqrt(7)))**2*6 - sqrt(136)\/((-2*sqrt(1152) - sqrt(1152)) + sqrt(1152))) + -5 + 1.\nAnswer: sqrt(17)\/24 + 19\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 79 (base 11) to base 9\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 8:56 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -432 * 0.042276.\nAnswer: -18.263232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.3 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461300 divided by 20.\nAnswer: -23065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*sqrt(108) + 4) + 5.\nAnswer: -24*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t\/t**(-1\/8)*t*t)*t)\/t)\/(t\/t**(-7)))\/((t**(1\/4)*t)\/(t\/((t*t**(-2\/51)*t*t)\/t))) assuming t is positive.\nAnswer: t**(-5441\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -1. Let k = -131\/4 + 33. Which is the nearest to -0.1? (a) k (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15281378 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4789.89289 - 0.1.\nAnswer: 4789.79289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**2 - 48*m - 185. Let t be y(-5). Is -854\/9 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-70)*65 - (-2)\/7. What is the fourth biggest value in -1\/2, -3, -2\/3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 0 (c) -19728 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-668909)\/(-51451) + -13)*(-3)\/(-1 - 2). Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26 plus -206847755474.9?\nAnswer: -206847755475.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.8 - 0.2. Let c = -83.1 - -77. Let o = c + 6. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5079800900.\nAnswer: 2, 5, 53, 607, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 22 + 1. Suppose -3*s - 2 = -0*u - u, -52 = -4*u + s. Let r = u - w. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -24?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhthvdf. What is prob of sequence hd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18895, -18897, -18893, -18877, -18843?\nAnswer: -18785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/((n\/((n*n**(-1\/5))\/n))\/n)*n*n)\/(n**(-10)*n)*(n\/(n*((n*n*n*n*n*n*n\/(n*(n\/n**(2\/17))\/n)*n)\/n)\/n*n)*n*n*n)\/n**(-21) assuming n is positive.\nAnswer: n**(2693\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -6. Suppose -5*b - 5*k = 260, -k - 3*k - o = 0. Let q = 52 + b. Solve 0 = -t + q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-170)\/4*(10 - 476). Let w = s + 4995. Round w to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15072 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from dodxxdovdddoxddddo?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.0205 litres in millilitres?\nAnswer: 349020.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -301.228 and 4.\nAnswer: -1204.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21a5 - 267?\nAnswer: -243c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2590)\/14*3\/(-5) + 7 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-81)\/105 + (-2)\/(-10). What is the closest to 1\/54 in 3, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3956 + 6828 - 2059 = 1033*d - 3671 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 19. Let a be q(-21). Let f = 3 - 2. What is the smallest value in a, 0, f, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -33*u**2 + 180*u - 45. Let p(r) = 3*r**2 - 16*r + 4. Let v(y) = 4*c(y) + 45*p(y). Let j(h) = 7*h - 5*h - 13*h. What is j(v(k))?\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-44)\/(-30) - (-2)\/(-3). Let d(g) be the first derivative of -g**3\/3 - 3*g**2 - 3*g - 2. Let a be d(-5). Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -2)\/(2 - 1). Suppose -5*a = 8*a. Suppose 3*c - q + 2 = a, -2*c - 5*q = -0*c + 24. Sort h, c, -5 in ascending order.\nAnswer: -5, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*f - 8 = 0, f = 6*f - 20. Suppose i*n - 393 = 2421. What are the prime factors of n?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4525 - -103?\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00526775643 rounded to four dps?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 19) + (0 - 8) + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (22 - 7 - 34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655654 (base 7) in base 9?\nAnswer: 583333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.327*1914.\nAnswer: 625.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 995351 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 14\/3)*3. Suppose -4 = -m*s + 4. Let a = 27 + -188\/7. Sort a, 2\/9, s.\nAnswer: a, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j + 102*j = 204160. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452 at most as big as 4487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(486))\/sqrt(7).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -11. Suppose 0 = u*f - 7*f - 1125. Let s be f\/(-108) - (-1 + 3). Is s greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1280 + -1276. Let o = -4 - -8. Factor 0*z**2 - 2*z**3 + 0 + s*z**2 - o + 2*z.\nAnswer: -2*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*64\/(5632\/5148)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 236 and 286209?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.80899 and -0.02.\nAnswer: 1.78899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*n + 2*o - 2, 4*n = 4*o + 184. Suppose 2*m - 6*m + 316 = 0. Calculate the remainder when m is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idtftddif. Give prob of picking 2 d and 2 t.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -59795 (base 13) in base 10?\nAnswer: -163883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/167 or 8?\nAnswer: 5\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 788, 797, 806, 815?\n\"Answer: 9*z + 779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -317\/10? (a) -0.5 (b) -39 (c) -0.4 (d) 10 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (15\/(-4))\/((-4089)\/816 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -7*n + 73, -3*n = 227*x - 229*x - 35 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t**3 + 82*t**2 - 26*t - 1. Let x be z(6). Calculate the greatest common factor of 483 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/24 and -133\/3828708.\nAnswer: 7657416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 13. Let x be v(16). Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.9 (b) 1 (c) -2\/5 (d) -5\/2 (e) -1\/30 (f) 2\/35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*r + 9 - 25 = 0, 2*z - r - 19 = 0. Suppose 4*c - z = 5*s, -5*s + 3*c + 9 = 4*c. Let j = 5 + s. What is the remainder when 9 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 10187?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 923398 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15371.46665 to the nearest integer.\nAnswer: 15371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 177, 179, 183, 189, 197?\n\"Answer: p**2 - p + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 5*d**3 + 4*d**3)*((3 - 3 + 3)*(2 + 1 - 1) - 3 + 1 + 4).\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -983 (base 14) in base 13?\nAnswer: -b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/(-182))\/(3\/(-21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -42*g + 43 - 53 + 21 + 88 + 27. Let i be f(-3). Calculate the greatest common factor of 144 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -13783 and -13783 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7*z + 158. What is w(28)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*f - f. Let c = f + 20. Let s = c - -37. What is the lowest common multiple of 20 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -0.5, -2\/33, 1\/12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98 - 58. Suppose k = 3*u - 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**2 + 2*a - 3. Suppose 5*j + 0 = -15. Is v(j) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13294265 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = 6. Let s(i) = -i - 2. Suppose 2*d + 12 = -4*d. Let f be s(d). Sort f, -3, m.\nAnswer: -3, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547758 is divided by 285.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = 6*z + 4*j, 3*j = 9. Let x = -11 - -15. Calculate the greatest common factor of z and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**3 + 24*k**2 - 15*k + 165. Calculate t(0).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 287.4281ml?\nAnswer: 0.2874281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -67*q + 61. Let u be g(-11). Suppose 3*i - u - 2767 = -5*l, i - 1185 = -5*l. What are the prime factors of i?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5)\/r)**(13\/4)*(r**(1\/3))**(3\/34))**(-2\/19) assuming r is positive.\nAnswer: r**(653\/3230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**3 - 13*f**2 - 4*f. Let l(x) be the second derivative of -3*x**5\/20 + x**4\/2 + x**3\/3 - 1299*x + 1. Determine 5*l(g) + 2*v(g).\nAnswer: -g**3 + 4*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 1247*t**8\/336 - 5*t**4\/12 - 23*t**3\/2 + 3*t**2 + 34. What is the second derivative of y(h) wrt h?\nAnswer: 24940*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 less than -1929125?\nAnswer: -1929103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**2 - 11 - x**3 - 6*x**2 + 6 + 10*x - 1. Suppose 0 = 5*n - 4*n + 12. What is the tens digit of j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 12:45 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*g + 2495 = 24*g - 14055 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -3*w + 183. Calculate the remainder when w is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536170446 a multiple of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -280 or -287?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210002002002 - 0?\nAnswer: -1210002002002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4218763249.5109 and -0.4.\nAnswer: 4218763249.1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 8:56 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37\/56 - 53\/56. Which is the third smallest value? (a) 3\/4 (b) 0.2 (c) -1.4 (d) -5\/3 (e) o\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -4*m + 2, q - 5*m + 9 - 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n**3 + n**2. Calculate the remainder when 55 is divided by i(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:47 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*u + 71 = 55, -u + 3 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akd when three letters picked without replacement from dkiaikdiakkaikkkkk?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s - 16. Let t be q(-11). Suppose 4*l = 3*c + 107, -2*l - l = -5*c - t. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by -665\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + (6 - 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 2. Let j = 191 + -182. Let w(l) be the first derivative of 5*l**2\/2 - 9*l - 1. Let t(b) = j*a(b) - 2*w(b). Let h(s) = 5*s**2. Calculate h(t(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -8 (b) 39\/4 (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 115926810449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48738176 is divided by 1949527.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/20 - 55*y**4\/12 + 41*y**3\/6 + 2*y**2 + 1040. Determine h(-37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-104)\/20)\/(3\/10). Suppose -z*k + 6 = -5*k - 4*r, 5*k + 3*r = 4. Solve a + k = -4*m - 18, 4*m - a + 20 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5989 and 338935.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1032616054 - 770*w + 1032616054.\nAnswer: -770*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-5*i + 6*i - 3*i)*(2*i**2 - i**2 + 0*i**2).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(34\/119)\/(9\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 258238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 561, 807, 1063, 1323, 1581, 1831, 2067?\nAnswer: 2283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*a + 24, 0 = -5*n + a + 2*a. Let x = 8 - n. Solve -25 + x = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from {g: 1, y: 1, u: 4, r: 3, h: 1, s: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y + 8. Let b(n) = 9*n + 13. Let o(r) = -2*b(r) + 3*v(r). What is the remainder when 130\/3 - (-1)\/(-3) is divided by o(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 5)*(44*d**3 + 7*d**4 - 44*d**3) + (-4*d**2 - 3*d**2 + 6*d**2)*(-d**2 - 1 + 1) to p*d**2 + b*d + q*d**3 + a + i*d**4 and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -39525 divided by -2635?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 33*j - 632. Let d(p) = -p**3 + 28*p**2 - 28*p + 29. Calculate d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 11*x - 12. Let c be a(5). Let z = 11 - c. Let s be (-8 - z)*(1 + 0). Which is bigger: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1188, -1086, -784, -180, 828, 2342, 4464?\n\"Answer: 17*n**3 - 2*n**2 - 11*n - 1192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 9*g**2 - 3*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 54 + 38. Let l(h) = -4*h**2 + 3. Let o(v) = -5*v**2 + 4. Give d*l(u) + 3*o(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 26, 5, 2 in descending order.\nAnswer: 26, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 - -54*5\/(-15). What is the closest to -72 in 1\/6, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:36 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 1. Let y be k(3). Let i be 1*y\/1*2. Is ((-6)\/i)\/(15\/(-100)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4215 a factor of 92342220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) -0.63 (c) -3\/58 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c7 + 108e3?\nAnswer: 109ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -740 (base 8) to base 5.\nAnswer: -3410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 2}. Give prob of picking 1 f and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38101 and -0.3.\nAnswer: -38101.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v**2 + 54*v**2 - 12*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/9 + 431900*l\/9 - 431918 = 0. What is l?\nAnswer: -215959, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 601433 = 601434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 1668112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + k + 1)*(-2*k**2 - 5*k**2 + 5*k**2)*(-k**2 + 0*k**2 + 3*k**2 - 1 + k**2 + 1 + (3 + 0 - 1)*(2*k**2 + 0*k**2 - k**2)).\nAnswer: -10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -1\/22, 0.4?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 260955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*f - 5 + 9 - 64 = 1301*f - 5*z, -3*z = 23*f - 36 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**3 + 205453096*d**2 - 410906204*d + 205453104 = 0?\nAnswer: -51363276, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2074, 1, 0, -38 in decreasing order.\nAnswer: 1, 0, -2, -38, -2074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22737619 at most 22737618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3 - 0 - -1 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13111 - -13101. What is the second smallest value in -0.3, 2.5, i, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llsssslslss. Give prob of picking 1 s and 2 l.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + (-24 - (-66 + -32)) + -30?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001559 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(126)\/sqrt(2))**2.\nAnswer: -18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**(-4\/5)\/((i**(-2\/9)\/i)\/i**3))**34 assuming i is positive.\nAnswer: i**(7684\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/7239 and 97\/2286.\nAnswer: 43434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-19 + -21) - 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 160*v**3 + 10*v + 10. Let l(f) = -53*f**3 - 3*f - 3. Calculate 3*g(m) + 10*l(m).\nAnswer: -50*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -78\/17, -3, -2\/177, -19 in ascending order.\nAnswer: -19, -78\/17, -3, -2\/177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2109 - 225 = 7*y - 101*y + 2742 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 2*s**2 - 2*s**2)*(-2*s**2 - 3*s**2 + 4*s**2)*(16 + 24 + 2).\nAnswer: 126*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x, p - 3*x - 15 = -4*p. Let k = 19 + p. Solve -5*r = -4*w + 26 - 6, 3*r - k = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r + 16 = 24*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19575 = 2783*q - 111414 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 1124, 51\/161?\nAnswer: 1124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/147, -5, 1065\/8.\nAnswer: -5, -4\/147, 1065\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38894194 and 272259358.\nAnswer: 272259358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 245 + -207. Calculate the highest common factor of k and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*v + 3*p, v + 4*p = -4*v + 36. Calculate the smallest common multiple of v and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -2.51245?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 1\/5 (c) 2\/13 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 11*m - 20. Let d be r(-13). Calculate the least common multiple of 11 and d\/(-2)*(-5 + (-2 - -6)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26239*x**4 + 6117 - 22*x**2 - 26240*x**4 + 4*x - 11*x**2 wrt x?\nAnswer: -4*x**3 - 66*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 61*f + 40. Is 42 a factor of b(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 106\/561 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18625)\/894 - (6 - (37 + -10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/8, -33.9, 33, -1\/4, 0.2, -1\/89, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 8. What is the smallest common multiple of 15 and j(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 25 = 56. Let f = 48 - x. Let h(l) = 9*l**2 - 21. Let k(s) = 1039*s**2 - 345*s**2 - 5 - 345*s**2 - 347*s**2. Determine f*k(z) - 5*h(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 2*h - 30 = -8, 2*x + 570*h - 10 = 1139*h - 573*h for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x - 10. What is the least common multiple of y(-5) and 80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12570)\/(-54) + (-2)\/(-9). Let v be -3 + 7 - 588*f. What is v rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z**2 + 3*z**2 - 40*z - 7*z**2 + 86*z - 42*z.\nAnswer: 4*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 85*z**3 + 80*z**2.\nAnswer: 5*z**2*(z + 1)*(z + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -201, 122, 645, 1356, 2243?\n\"Answer: -2*z**3 + 112*z**2 + z - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + o = 9, 9 = -62*o + 65*o. Let s(l) = -31*l**2 + 2. Let p(k) = -124*k**2 + 9. Determine x*p(m) - 9*s(m).\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -160646 - 4?\nAnswer: -160652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9422.23224 - -0.23224. Let m = -9422.05801 - y. Round m to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3545 - 6?\nAnswer: -3552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*12)\/((-165)\/(-30) + -5). Solve 0*y + 8*y = -g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -8. Let x = 1506 - 1503. Put x, c, -17 in descending order.\nAnswer: c, x, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1401130 (base 7) to base 8\nAnswer: 551712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 1 + 1)*(2 - 4 + 4) + 16 + 27 - 93)*(-6*g + 4*g - g - 1 - g + 1 + (-3 + 2 + 3)*(2*g - 4*g + g)) to j*g + y and give j.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8 + 3.7. Let z = -0.3 + f. Let g = 835 - 834.8. Put z, g, -3\/8, 4 in descending order.\nAnswer: 4, g, -3\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 197*r - 4454. Calculate the least common multiple of h(-27) and 71.\nAnswer: 9656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -427*u**3 + u**2 + 429*u**3 - 2*u**2. What is x(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-70))\/((-3)\/(-15)). Let y = 77 + -307\/4. Which is the closest to y? (a) -3 (b) k (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppeppppeeppp. What is prob of picking 4 p?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003008761143 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5154 * -0.04\nAnswer: 0.020616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*s**2 + 59*s**3 + 264*s**2.\nAnswer: 59*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 4. Let q(g) = 3*g - 7. Suppose 144 = -2*f + 12*f + 2*f. Let r = 5 + -2. Suppose -b = -z - 1, -r*b - f - 15 = 3*z. Determine z*c(s) - 3*q(s).\nAnswer: -4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*d**3 - 48*d**3 - 15*d + 19*d**3 in the form n*d + j + l*d**2 + m*d**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4210 (base 5) to base 4\nAnswer: -20223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253951, -507929, -761901, -1015867, -1269827, -1523781?\nAnswer: -1777729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*14*(-2)\/(-20). Suppose 4*q - 8 = 0, j*q = y + 3*q - 33. Suppose -4*o = -5*f + y, -4*f - 3*o + 2 + 6 = 0. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 660070*w**2 - 32073*w - 2.\nAnswer: 1320140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svasssvosassoas. What is prob of sequence sos?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - 4\/(-2))*87770\/50?\nAnswer: 67, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47505 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*q - 10 = -2*q, 20 = -h - 4*q. Put h, 3, -1 in ascending order.\nAnswer: -1, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 11*w**3\/3 - 40. Let j(c) = -3*c**2. What is k(j(y))?\nAnswer: 99*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -54.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -245724.5 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -7, -5, 4, 4955 in increasing order.\nAnswer: -7, -5, -1, 2, 4, 4955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.3. Let k = 749 + -747. What is the closest to 1\/2 in d, 4, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 11 = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 48?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**3 - 2*s**2 + 14*s - 10. Let c(i) = 11*i**3 + 5*i**2 - 29*i + 20. Let a(t) = -4*c(t) - 9*v(t). What is the remainder when a(5) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Solve -3*d + 4 = -3*u + 13, -22 = -t*u - d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 15*d**2 - 58*d + 57. Calculate j(8).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -80179594, -1, 2 in ascending order.\nAnswer: -80179594, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218610818.\nAnswer: 2, 47, 2325647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -285117*h + 363855 wrt h.\nAnswer: -285117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 d when four letters picked without replacement from {x: 1, a: 2, y: 3, d: 3, e: 5, f: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 877 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1210093, -2420211, -3630329, -4840447, -6050565, -7260683?\n\"Answer: -1210118*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(-33)\/u)\/u)\/u**(13\/3))**(18\/5))**(2\/11))**38 assuming u is positive.\nAnswer: u**(-53808\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*-1)\/sqrt(7))\/sqrt(3).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -3 + (sqrt(52)\/sqrt(4))**2 - sqrt(13) - sqrt(1053)*3.\nAnswer: -27*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2041*v + 8*v**2 + 2*v**2 + 1011*v - 50*v**2 + 1030*v.\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5382*w - 12087. List the prime factors of p(4).\nAnswer: 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 178, 172, 150, 106, 34, -72, -218?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 297 = -21*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -132.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*w = -0*t + 8, -2*t + 20 = 5*w. Suppose 0 = 2*h - 3*h + 2*n + 6, h + 2*n - 10 = t. Solve -5*r - h = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 22698?\nAnswer: 181584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 70. What is the lowest common multiple of o and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190742754 divided by -43?\nAnswer: -4435878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -290828, -290808, -290788, -290768, -290748, -290728?\n\"Answer: 20*d - 290848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13653*f + 284276 = 1034*f - 195246 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 16*l - 38. Calculate the remainder when l is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144, -299, -454, -609, -764?\n\"Answer: -155*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8\/7, -49.105, 3.\nAnswer: -49.105, 1, 8\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 683*x**7\/2520 + x**6\/360 + x**5\/60 + 17*x**4\/12 + 16*x. Let l(j) be the third derivative of q(j). Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vtddtlkvvt. Give prob of picking 3 t.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000103431729 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 8:44 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/21 + 30\/(-7). Suppose 60*m - 81*m = 21. Sort t, m, -2, -5.\nAnswer: -5, t, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/656 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13411 - 20?\nAnswer: 13341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - 2*i)*(-3*i + 0*i + 7*i)*(-5*i**3 + 25*i - 25*i).\nAnswer: -20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8315263 or 8315275?\nAnswer: 8315275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9272 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4215 <= -4216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 402*s**2 - 10 + 3*s**4 - 402*s**2 wrt s?\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/16570 - 356297\/695940. Find the common denominator of w and -121\/6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1282038 divided by 17.\nAnswer: -75414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose 2 = -5*u - b. Let y(a) = -21*a. What is the tens digit of y(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 77. Let f = o + -78. Is f greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6238 + 6237.93947. Let a = -0.63 + 0.691. Let d = b + a. Round d to 5 decimal places.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/14)*w**(2\/7))**4\/((w*w\/(w\/(w**(-3\/5)\/w))*((w*w**(1\/8)\/w)\/w)\/w)\/(w**(5\/3)*(w*(w*w\/(w\/(w\/w**(-1)))*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(7199\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -288064 divided by 8.\nAnswer: -36008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 4*v + 6, -16 = -0*d + 2*d + 4*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10417399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*((-8090)\/8)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and -0.016004?\nAnswer: 0.0272068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 10 = -3*v, 4*d - 2206*v - 20 = -2208*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*i + 5*r, -45*i + 2*r = -12*i - 12*i - 9*i - 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 + 211 + 115 - 162 + 3*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 0)\/((-1)\/(-73)). Suppose 0 = z + s - 4*s - 87, 4*z - t = -2*s. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.87 - 0.17. Let b = q - -7.3. Let z = 18 - b. Is z greater than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/6)\/((-2)\/(-48)))\/((-1)\/4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v\/v**(-1\/6)))))\/v*v*v**(2\/13))\/((v*v\/(v\/((v**(-2\/3)\/v)\/v))*v)\/v*v*v*v*v\/v**1*v) assuming v is positive.\nAnswer: v**(-61\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27127 = 134*z - 30075 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-10))**19\/(t**(-8)*t*t*t**(-36)) assuming t is positive.\nAnswer: t**251","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -127*s**2 + 80*s**2 + 87*s**2 + 140*s**2 + 117*s**2 in the form f + m*s + x*s**2 and give x.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/15 - 82432\/(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-15)*((-12)\/(-8) - 1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*t - 21, 0*t - 26*l + 107 = -3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**3)\/l)\/l)**(2\/41))**(7\/6) assuming l is positive.\nAnswer: l**(-28\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (273\/(-14))\/13*(-40)\/3. Suppose 0 = 3*w + c - r, 2*w - 4*c - 28 = -c. Let x = 7 - -8. What is the remainder when x is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54 + 4b9?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5392 less than 12?\nAnswer: 5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73930284?\nAnswer: 2, 3, 2053619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -9, 0.3, -4, -1\/6 in ascending order.\nAnswer: -9, -4, -1\/3, -1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, 34, 3, 0.2 in descending order.\nAnswer: 34, 3, 0.3, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(2\/(-60)). Let i(g) = 4*g. Let m be i(-1). Let w = z + m. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 13*m + 2*m**3 - 3 + 8*m**2 - 5*m + 12 - 3*m**3. Let f be w(9). Is f less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3831182*a**2 - 279*a - 3401?\nAnswer: -7662364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8416 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120524 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*2*31076\/(-54383)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 18) + (-4 - (-17 + 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963999451 is divided by 172?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 4:46 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106050 and 12301800?\nAnswer: 12301800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (246 + -251)*(1 - (-67)\/(-5)). Let o(l) = 7*l**2 - 435*l + 63. Determine o(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 8434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27002868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*d + 1958 = 3068 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 3*n - 6, 0 = -3*m. Suppose -3*z + 6*z + n = -s, 4*s = z - 4. Suppose 0 = -4*r + 2*p + 12, -3*r + z*r + p = -8. Put -5, r, 0 in descending order.\nAnswer: r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 5696 + 16980 = -97*y for y.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1860 and -121\/828.\nAnswer: 128340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2698, 2663, 2626, 2587, 2546, 2503, 2458?\n\"Answer: -m**2 - 32*m + 2731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9 = 0, 4*x + 11 + 25 = i. Suppose -10 = i*t - 49*t. What is the lowest common multiple of 70 and t?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -17. Suppose 5*q - 16 = 4. Find the second derivative of -r - 5*r**3 + q*r + o*r**3 wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**8\/336 - w**7\/70 + w**6\/120 + 7*w**5\/60 - 2*w**3\/3 + 3*w**2. Determine z, given that n(z) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15355975 and 93041.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37188376 + 37188376.50000017. Let f = s + -0.5. What is f rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let h be g(5). Let x(w) = -w**2 - 5*w + 5. Let n be x(h). Suppose -n*u + 412 = -u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2053 + 1687 = 22*j. Let y = j - 168. What is the third smallest value in 0.1, 2\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.6, -0.3, -5, -2\/637?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 50, 17, -18, -49, -70?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -11294\nAnswer: -22588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-54)*(-21 - -20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -25*k**5 + 160*k**4\/3 - 20*k**3\/3 - 50*k**2 + 95*k\/3 - 10\/3 = 0.\nAnswer: -1, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/24)\/(6\/(-4)). Let i = 0.42 + -0.02. Let a = -24.8 + 25. What is the closest to a in i, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-20) - (-2)\/(-4). Let o = -200 + 398. Let a = o - 196. Is s at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8281 is divided by 993.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*v = 0. Suppose v = -49*j + 53*j - 216. Suppose 0*c - c + 2*u = -j, -c + 54 = 3*u. What is the highest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -718*m**2 + 2 + 12373*m + 6*m**2 + 1 - 12372*m - 1 to the form x*m**2 + t + n*m and give x.\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092\/234*48\/14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.50589, 6, -0.6 in increasing order.\nAnswer: -0.6, 1.50589, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 201 = 831. Let v be 12\/9 - 2 - d\/27. Calculate the highest common divisor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226246, -226245, -226244, -226243, -226242, -226241?\nAnswer: -226240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 45 + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b**2 + 40*b. Let x be (6 - 16)\/(25 + -27). Determine m(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:27 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -24*i**5 + 21*i**4 + 51*i**3 + 6*i**2 = 0.\nAnswer: -1, -1\/8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 16, 47, -1, -3 in ascending order.\nAnswer: -6, -4, -3, -1, 16, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -311.8083 - 1456596.\nAnswer: -1456907.8083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*(-2)\/28*-2. Let f be (y + -2)\/(-7 - -8). Let b be 1949985\/(-5) - (4 + f). What is b rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 472*v**3 - 15*v**2 - 355*v - 341. Determine w(-1).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -209, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*j + 1331 = 1338, -5*u + 3*j - 14 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 5*v**2 + v**2 - 1456 + 2013 in the form a + b*v + s*v**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -19. Suppose -2*x + 68 = 5*m - 6*x, -m - 5*x + 2 = 0. Suppose -m = -f + 5*f. Is p < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 178 - 563?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/6 + 431*r**4\/3 + 108035*r**3\/3 + 2205812*r**2 + 101011611*r\/2 + 389674827 = 0 for r.\nAnswer: -393, -29, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:29 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/105)\/(2\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-3))\/(16\/24). Let o be 20\/z*(-12)\/(-10). Suppose o*i = 4, 1270 = 5*r + 2*i + 3*i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3998762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 629037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-7))\/(28\/(-50372)). Let u = 252 - t. Let g(j) = -j - 7. Calculate g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2*y**3 + 39*h**2*y**2 + 42*h*y**3 + 194884*y**3 + 120600*y**2 wrt y?\nAnswer: 6*h**2 + 252*h + 1169304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 72 = 3*w - 3*y, -w + 2*y + 28 = 0. Let v = -83 - -41. Let m be (v - -33)*20\/(-3). What is the greatest common factor of w and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 55, 0.04.\nAnswer: -5, 0.04, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 0 (c) 0.1 (d) -2 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11880.204 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*d = -2*d - 39, 36 = 5*b - d. Calculate the highest common factor of 546 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - sqrt(100)\/sqrt(36))\/sqrt(5).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -605433 (base 9) to base 8\nAnswer: -1273625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34750, -34751, -34752, -34753, -34754, -34755?\nAnswer: -34756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*q + 7*q = -13, -8 = 4*q. Solve -5*x = 3*r + 9, -t*x = -4*x - r - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17741*u**3 - 10709*u**3 + 28514*u**3.\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*x + 29 = 109, 0 = -3*j + 5*x + 73. Find the second derivative of 29*k**3 + j*k**3 - 59*k**3 + 63*k wrt k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/3))\/(j\/(j*j**(-6)*j*j))*(j*j\/j**1*j)**22*(j**(-12)\/j**(-1))**(2\/109) assuming j is positive.\nAnswer: j**(13559\/327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/6)\/((-12)\/(-18)*24).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.5057 + -0.4943. Which is the nearest to p? (a) 2 (b) 2\/7 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10551*x**2 + 10553*x**2 + 10554*x**2 - 42211*x**2 + 10554*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -870.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 319 - 314. Let k be -4 - -1 - (t - (-2 - -592)). What is k rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1395\/4 - -1193\/4. Let m = 16116725 - 193281413\/12. Let t = m + -9930. What is the common denominator of t and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(110)*-2 - sqrt(110)) - (1*-1*sqrt(110) + sqrt(110)))\/(5*((-3*sqrt(1440) - sqrt(1440)) + sqrt(1440)) - sqrt(1440)).\nAnswer: sqrt(11)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -364, -112, 237 in ascending order.\nAnswer: -364, -112, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13\/195)\/(2\/(-5)). Which is the second smallest value? (a) -0.04 (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 - (157687770\/(-7659))\/(-173)?\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (256\/20 - -1)*(1 + 24) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(p - 2*p + 0*p)*(689*p - 336*p - 310*p).\nAnswer: -43*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a hour in minutes?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46983875641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 44 = -4*k + u, 20 = 5*k + 2*u. Let g(n) = -n**3 - 3*n**2 + 3*n - 2. Let l be g(-4). Find the third derivative of -3*v**k + v - v + 2*v**l wrt v.\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4546 + 4526 = 2*l, -5*w + 45 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 16*b + 8*b**2 - 8*b**2.\nAnswer: -b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 14. Let t be 18*(5 + -1)\/(-8). Let j be u(t). Calculate the greatest common divisor of 92 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4261895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5250930 - -2555225. Let t = -2695703.79999995 - p. Let n = -1.2 + t. What is n rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 25\/2*z + 35\/4*z**2 + 11\/6*z**3 + 1\/8*z**4 - 34. Factor y(j).\nAnswer: (j + 1)*(j + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 162732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlqglgwx. What is prob of picking 1 q and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225 - 225 - 226*p - p**3 + 231*p.\nAnswer: -p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7700 = -128*b + 478*b for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = -1262 + 29774. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e406b6 - -3c?\nAnswer: -e4067a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/5 (b) 0 (c) -1.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43608\/38157*(-714)\/(-8).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ba6 (base 16) to base 6.\nAnswer: 123422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from sqtkucsk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.7896 micrometers in meters?\nAnswer: 0.0002197896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36630 divided by -7326.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730 is divided by 185.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1013121 and 21?\nAnswer: 7091847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 n, and 1 w when three letters picked without replacement from wnbpw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/4 (b) -0.4 (c) -254 (d) 1\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1755936 is divided by 458?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**7\/60 + v**6\/30 - 13*v**5\/120 - v**4\/24 - 51*v**2 + v. Let d(w) = 0. Calculate w.\nAnswer: -2, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) - 0 - -3. Suppose j = 2*v - 145. Calculate the greatest common factor of v and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 2. Let a(o) = 2*o - 3. Let u(y) = 2*y - 4. Let n(b) = 3*a(b) - 2*u(b). Let z(v) = 4*h(v) + 5*n(v). Let r be z(0). Solve -r*g + g = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(10) + sqrt(40)))**2 - (-3 + -1 + sqrt(7)).\nAnswer: -sqrt(7) + 43\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -11*s**4\/3 - 151*s**2\/2 - 18*s + 3. Differentiate w(y) with respect to y.\nAnswer: -88*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000100101 - -10110011000001?\nAnswer: 10010010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -437 - -0.4\nAnswer: -436.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000297 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 11330.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*l - 8 = -6*l, -12 = 3*l. Suppose 3 = -3*v + 4*w + 19, -v + 4*w + 8 = 0. Let n be 18\/v*m\/(-18). Solve -k - n + 0 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3668385 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10 + 5 + 6 + 2*j**2. Let c be h(-1). What is l in -c*l**4 + 5 - 43*l**5 + 40*l**5 + 4 - 15*l - 6*l**2 + 18*l**3 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54034?\nAnswer: 2, 27017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.87 - -1.13. Let w = -15 - -11. Let j = -1.67 + 2.17. Sort j, q, w in decreasing order.\nAnswer: q, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103937 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 445?\nAnswer: 445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37949 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 5*l + 4. Let o be u(-4). Let m = o - -18. Is (2\/3)\/(m\/345) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*a = -12, -5*j + 4451*a = 4449*a + 32 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -s + 151 + 144, -o + 85 = 4*s. Suppose -14*a = 21 - 1589. Let c = a - o. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*u - u + 3*u)*(-7 + 4 - 3) + 0*u - 3*u + u)*(-168 - 102 + 190)*(1 - 2*u - 1).\nAnswer: 1600*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-21) - (-49345)\/1491 and 474.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 629*y**2 - 624*y**2 + 1881*y**2 - 607*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b4e - 1?\nAnswer: -b50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*-5*sqrt(735))\/((sqrt(192)*1*-3 - sqrt(192)) + (sqrt(192) + sqrt(192)*-1)*-4).\nAnswer: 175*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (29 - 3717)*-5*1. Round q to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {d: 2, c: 2, s: 8, e: 3}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/8*(4 + -24). Calculate the greatest common divisor of 60 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573 = 6*c + 81. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let d(z) = 162*z**2 + 266*z**2 - 76*z**2. What is f(d(n))?\nAnswer: 247808*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 40*m**2 + 408*m - 95. Calculate o(20).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * -1292.\nAnswer: -4651.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79509e + -1?\nAnswer: 79509d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*w**5 - w**4 + 2*w - 2?\nAnswer: 180*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 505?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:28 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2738\/(-666))\/(70\/(-630)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**5\/12 + o**4\/12 - 3*o**2 - 3*o. Let r(f) be the first derivative of u(f). Find the second derivative of r(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/4*1*158. Suppose 5*f + 3*l - 1231 = 0, f - h = l + 3*l. Suppose 6*k - f = k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.17 - -16. Let z = m - 1.23. Let g = z + 2.4. Which is the closest to g? (a) -3 (b) -0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 6*l + 1998 - 2011)*(l + 16*l**2 + l - 19*l**2).\nAnswer: -24*l**3 + 55*l**2 - 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 62350 and -10156 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 706913.91 milliseconds?\nAnswer: 0.196364975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3357.58 and 6.\nAnswer: 20145.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 10:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 91. Suppose 5*w + 21 = -u, -5*w - 25 + m = 0. What is the third biggest value in 8\/3, -4, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112010201012212 + 1?\nAnswer: -112010201012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/6*36\/(-7). Suppose -h = l - 4*l. Solve 0 = l*w - 2*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**2 + 4*g. Suppose 4*v = -6 - 10. Let r(t) = -t. Let y(q) = v*r(q) - x(q). Let h(b) be the first derivative of 2*b**3\/3 - 16. Give y(h(w)).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-826)\/28*(-4)\/6)\/(-9*(-7)\/(-189))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3586104 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (594\/66)\/(2\/2*1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 2637 (c) -2\/11 (d) -1 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*g - 11, f = -3*f + 12. Suppose g*j = -b + 2, 5*j + 3*b - 8 = -2. Let w(m) = 0*m + j*m + 3*m. Let a(l) = 2*l**2. What is w(a(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a tonne in kilograms?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7)\/(m**6*m))\/(m**(-6)*m*(m\/(m*m\/(m*m**(-6)\/m)*m))\/m) assuming m is positive.\nAnswer: m**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(200) - 6*-2*sqrt(200))*-2)**2 + (4 + sqrt(200) + sqrt(200) + -5 - 3*(0 + sqrt(200))).\nAnswer: -10*sqrt(2) + 135201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2652925 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17\/(4250\/1054 - 4*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by -2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21)\/(-30))\/(-7))\/((-6)\/(-84)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13567562, 13567558, 13567554, 13567550, 13567546?\n\"Answer: -4*p + 13567566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 294 divided by 3\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 8. Let l be ((-6)\/4)\/(18\/480). Let y = l - -38. Let n = 9 + y. Determine g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -228*z - 42. List the prime factors of i(-13).\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2)*11\/2. Suppose s = k - 119. Suppose a + 0*a + 322 = 5*i, -2*i + a + k = 0. Calculate the highest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 262842.63 months?\nAnswer: 219.035525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 304583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + (2 - 0) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 3:03 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6344 + -1.1344. What is the second biggest value in 19\/6, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2299) - (-1*sqrt(2299) + -4)**2)*2.\nAnswer: -4632 - 154*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -938*0.233.\nAnswer: -218.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -158*p**3 - 15*p**2 + 9*p - 18. Let q(a) = -7*a**3 + a**2 - a + 2. Give o(u) + 9*q(u).\nAnswer: -221*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 41, 70, 89, 86?\n\"Answer: -2*d**3 + 13*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/41 and 13\/7.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/4*(6\/54*-6)\/(-2).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 3*o**2 + 5*o**2)*(-26 - 177 + 687 + 584).\nAnswer: 1068*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let p = 11\/30 - -3\/10. Which is the nearest to p? (a) 3\/7 (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.717 + 12.04. Let t = -0.213 + x. Let m = 0.11 - t. Put m, -4\/7, -1\/20, 5 in ascending order.\nAnswer: -4\/7, -1\/20, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = x, -3*i + 2*x = i + 16. What is the second biggest value in 1\/12, i, 3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 97832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4818710053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160381 and 3934?\nAnswer: 630938854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3058*r**3\/9 - 104*r**2\/3.\nAnswer: -2*r**2*(1529*r + 156)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + 6*1*(-3 + sqrt(175))))**2 + 0.\nAnswer: -30240*sqrt(7) + 233856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7421 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y - 47. Let b(s) = s. Let n(h) = -a(h) + 5*b(h). What is the least common multiple of 10 and n(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307400 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*o = 31, -27*j + 23*j + 4*o = -32. Factor -14\/5*z**2 - 2\/5*z**j - 32\/5*z - 24\/5.\nAnswer: -2*(z + 2)**2*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21799\/4 - 5472. What is the common denominator of u and 7\/8310?\nAnswer: 16620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from htttbbttbtbhbbh.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1)\/((-189)\/(-27)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**3 - 7*f**3 + 5*f**3)*(5*f + 0*f - 2*f).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 11\/6*o**3 + 8*o + 3 + 1\/12*o**4 - 3*o**2. What is l(-8)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 213 - 5?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4557975 - -1.9?\nAnswer: -4557973.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*x + 9 = -165*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 9. Let s be y(-6). Let z = s + -2. Suppose -2*d + 24 = -u, -4*u - 16 = -0*u. Calculate the lowest common multiple of z and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 118*q**2 - 10*q - 11. Determine k(-1).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897248.2 decades to months.\nAnswer: 107669784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5886, -10617, -15348?\nAnswer: -20079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + j + 1 = -3*q, q - 5*j - 5 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 - (-42 + -38 + 99).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -265\/44 - -17\/22. What is the common denominator of 103\/22 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -35\/2*o**4 - 40*o**3 + 0*o - 10*o**2 + 0 = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2 - -4) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12239 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from {l: 2, z: 2, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -53, -2, 2\/13, -17, 0.8, -19?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 3*h**2 + 12. Let l = 130 + -136. Is 12 a factor of y(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.819 - 5048953.395\nAnswer: -5048973.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 122357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -12. Suppose -11*n - x = -750, -22*n + 130 = -20*n - 3*x. Calculate the remainder when n is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**3\/6 + 19*z**2\/2 - 2*z. Let d be j(-17). What is the tens digit of (-82)\/(-4) - (-3)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -86. Suppose 0*n = 2*n - w. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7761875 (base 10) to base 8.\nAnswer: -35467723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 - 146334*m**2 - 1316763*m = 0. What is m?\nAnswer: -48769, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -67 + 29 + -17 + -1 + (7 - (22 + -12))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5086 - 5078. Solve 14*z + s = 6*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -4*n + 5*d + 16, -2*d + 98 = -4*n. Sort -9, 4, n.\nAnswer: n, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = g - 555. Suppose -j - 3 = 5*k, -2*j - 4*k = 9 - 3. What is the remainder when 2 is divided by 4\/j + g\/87?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*1)\/(104\/3952). Let u(z) = 20*z + 4. Let q be u(-4). Let f = q + d. Put 7, f, 1\/6, 0.4 in decreasing order.\nAnswer: 7, 0.4, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 117380988.9 to the nearest one million.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 618629 from 18.\nAnswer: -618611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -432 divided by 216\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038872 rounded to 4 decimal places?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2245 > -2245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67964, 68000, 68036, 68072, 68108?\n\"Answer: 36*x + 67928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 17*y - 14. Let w be 155\/35 - 4\/(-7). Let h(b) = 11*b - 9. What is w*p(g) - 8*h(g)?\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71735627.\nAnswer: 67, 1070681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*p + 44*p + 42 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m - 5*l = -17*m + 10, -5*l = -3*m + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2761107504?\nAnswer: 2, 3, 31, 53, 157, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207602, 207603, 207604, 207605, 207606, 207607?\nAnswer: 207608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-5) - (-20)\/50. Let q(r) = -r**2 + 7*r - 5. Let h be q(6). Let k be h\/2 - 9\/g. Solve k*v + 0*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2225 + 2230. Which is the closest to -6\/19? (a) 2\/7 (b) -1\/9 (c) s (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19226993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(27))**2 + -5 + (sqrt(3) - sqrt(12))*1 + (sqrt(144)\/sqrt(3))**2.\nAnswer: 29*sqrt(3) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/10*2 - 234\/(-30). What is the remainder when 23 is divided by 24*(4\/x - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -178, -388, -680?\nAnswer: -1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f**3 + 0 - 39*f**3 + 0.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1\/7, -4\/9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -2. Suppose -5*a + v + 23 = 0. Let o(m) = m - 4. What is the lowest common multiple of o(a) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4019489 years in decades?\nAnswer: 0.04019489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(720)*-2*-2 - ((sqrt(720) + 0 + 0 + sqrt(720) - sqrt(720) - sqrt(720)) + -1*sqrt(720)*2)) + 4)**2 + 1.\nAnswer: -144*sqrt(5) + 25922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 17971616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3008 and 101896.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.31 + -46.31. Let h = b - -46.3. Sort h, 81, -2 in decreasing order.\nAnswer: 81, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = 3*z. Let y be (z - 5)*(-3)\/3. Suppose -22 - 54 = -y*v. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(3\/9). Suppose 3 = w - z. Solve -13 = m - w*b - 0*b, b + 10 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 5*a - 7. Let w be z(-7). Let g(u) = u. Calculate the remainder when g(w) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k + 48. Let g be h(11). Let w be 33900\/21 - (-2)\/g. Suppose -4716 = -6*q + w. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(4 + (-64)\/20) - -1996. Let q = -1089 + o. Suppose -4*d = 2*z - 5*z - q, 3*d - 671 = -4*z. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**3\/3 - 3*b**2\/2 + 3*b - 4. Let n be g(2). Let j be (n + -1 - -2) + -8202. Round j to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*r**2 + 4 + 5)*(3 - 2*r + 0*r + r).\nAnswer: -2*r**3 + 6*r**2 - 4*r + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50)\/sqrt(5) + sqrt(10))*5)\/(sqrt(180) - (sqrt(180)*-1 - sqrt(180))))**2*-1.\nAnswer: -50\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w - 13. Let p be c(-5). Let a(b) = 2*b**2 - 3*b - b**p + b + 3 + 5*b. Give a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76055858*b**3*r**2 - 2*b**3*r - 75525*b**2*r - 2*b*r + 2*r - 1 wrt r?\nAnswer: 152111716*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -15.6, -87, -3, -82?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*h + 67, -4*h - h - 3*x + 69 = 0. Let j(t) = 3*t**2 - 16*t + 5. Let w be j(5). Let d = h - w. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 12:15 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 = 5*w. Suppose 0*n = -w*n. Solve n*y + 5 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (-22 - (0 - -12)) + -24.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/5 - 8*s**2\/5 - 4*s = 0 for s.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 6*f**2 + 2*f + 8. Let d be v(-6). Let p = d + 3. Let w(s) = -162*s - 1. Is w(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 892 and -0.4.\nAnswer: -356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 6574.5?\nAnswer: 6574.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/517840?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 783 and 12905.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + k + 1. Let q(s) = -s**3 - 6*s**2 + 3*s - 3. Let l(r) = 2*j(r) - q(r). Let n be -1 + ((-14)\/5 - (-4)\/(-20)). What is the units digit of l(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p. Suppose -5*d = -11*d + 66. Let w(f) = -14*f**2 + 7*f**2 - 3*f**2 - d*f**2. Give w(a(t)).\nAnswer: -189*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21000120020 (base 3) to base 7.\nAnswer: -1113615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3741361 - -2.374. Round h to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104954899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/24)\/(2\/36). Solve -5*v - 40 = -5*w, -4*v - g = w + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149\/5 + 30. Which is the third biggest value? (a) h (b) 3\/2 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c + 14*c = 5800. Suppose y + 4*r - 7*r = 228, 0 = -y - r + c. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22016029991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 303*f**2 + 4928*f + 18876.\nAnswer: (f + 6)*(f + 11)*(f + 286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - (1 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*u - 64*u + 113*u + 32*u + 111*u as v*u + p and give v.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvuvvvvvvuv. Give prob of sequence uvv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 0.06 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15211603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(208)*-6 + 2)**2.\nAnswer: 192*sqrt(13) + 29956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 8*g**2 + 6*g + 4. Let y(n) = -n**3 + n**2 + 4. Let d be y(0). Suppose -d*x - 5*t + 43 = 0, x - 4*x - 4*t + 33 = 0. Calculate f(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 23*v + 15. Let z be w(-12). Solve -2*b - z = 3*y + b, 5*y + 2*b - 10 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9527, -9526, -9525?\n\"Answer: m - 9528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*p**3 + 8056*p**2 - 1911*p**2 + 121*p**3.\nAnswer: -2*p**3 + 6145*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28469 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.078 + -8.922. Which is smaller: 1\/4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.284811 milligrams?\nAnswer: 6284811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 479983 and 13039957?\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 586*m + 53271. Give v(-80).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2688607*b. Let f(x) = -7*x. Calculate f(o(t)).\nAnswer: 18820249*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(0 + (-2)\/(-8)). Let g = 41980 + -41977. Solve -g*r = -2*q, -l + 4 = -2*r - 4*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/102 + 32\/(-17). Let x be w\/5 + (-558)\/(-45). What is the first derivative of -9*g**4 - x - 2 + 1 - g**4 wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 9*h + 11. Let s be x(-11). Let d = s - -13. Suppose d*i = 3*i - 24. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316 - -2451?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 22.9701. What is c rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 694643 divided by 1\nAnswer: 694643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 6*r**2 - 7*r + 15. Let m = 68 + -63. Let k be a(m). Suppose -4*u - 6*g + k*g = -12361, 3*u + g - 9272 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:32 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/90*(-28)\/21.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + g**2 + 2*g + 4. Let k be b(-2). Let w(x) = -2*x + k*x - 8*x. Let d(i) = -11*i. Give d(w(s)).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 874 and 103027994.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 2, 0.03, -7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/14140 and -27\/1616?\nAnswer: 56560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 1. Let z be r(3). Let o be z\/10*6\/(-12). Which is the fourth biggest value? (a) 4 (b) 10 (c) o (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(2*4\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -53*l + 2. Let m(b) = -2*b**2 + 1925*b + 1. Calculate c(m(q)).\nAnswer: 106*q**2 - 102025*q - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2721038099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178768 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, x: 1, s: 2, b: 3, w: 1, p: 2}. Give prob of sequence xppw.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*t - 23, -2*p = -p + 2. Let l(j) = 72*j - 4. What is the units digit of l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a + -93aa6a?\nAnswer: -93aa20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/216)\/(1658\/1365363).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j**3 + 14*j**2 + 8. Let c(k) = -k**3 + k**2 - k. Let s(d) = 6*c(d) - m(d). Let b be (27\/(-12))\/(2\/(-8)). What is the units digit of s(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vviiiiivvvivvivivvi. Give prob of picking 3 i and 1 v.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137\/3 - -46. Let z = 1532 + -1531.8. Let f = -4 - -2. What is the closest to f in -0.3, z, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 - 4*m**2 + 11*m**2 - 6*m - 2. Calculate the remainder when t(4) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71788293?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 843061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 0.4 (b) -0.4 (c) 5 (d) 4 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 2*p**4 - 2*p - 1 + 85*p**2 - 98*p**2 to b + o*p + h*p**3 + g*p**2 + t*p**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -341*q + 19. List the prime factors of g(-14).\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-151)\/2265)\/(((-2)\/(-108))\/((-16)\/24)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4*3\/(-18)). Suppose -3 = k - 2*o, 0 - 2 = 3*k + o. What is the closest to k in 3\/4, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 340\/5*((-2556)\/144 + 18)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -877 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4*y\/(y*((y*y**(-7\/3)\/y)\/y*y)\/y))\/((y*y\/y**(-1\/4))\/y*y*(y**(-6)\/y)\/y))\/((y*y**(4\/3)*y**2)\/(y\/(y*y**(-1)))**(-34)) assuming y is positive.\nAnswer: y**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 276 = 2*t - 546 + 255, -4*t = w - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 8*w**2 - 2*w + 19. Give l(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -348*p - 14982. Calculate u(-43).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -1\/120*r**5 + 0 - 1\/96*r**4 + 1\/420*r**7 - 7*r**2 + 0*r**3 + 0*r + 1\/1344*r**8 + 0*r**6. Factor b(k).\nAnswer: k*(k - 1)*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8071495 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 2*d + 2*d + (3*d + 1 - 1)*(2 + 0 - 1 + (5 - 3 + 0)*(0 + 4 - 2)))*(-4 + 6 + 3).\nAnswer: 65*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37978 + -37822. Solve f - 12 = -4*a, x*a = 154*a + 4*f - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 1. Let f be x(1). Let i = 3 + -2. Let z = 0.5 - 0.9. Put z, f, i in ascending order.\nAnswer: f, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5. Suppose -m + 12 + 12 = 4*x, -5*m + 4*x = t. Let l = m + 2. Solve 2*w - 2*u = -8, w = -w - 5*u + l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 5)*((-1 + 3 + 0)*(1 - 1 - q**2) + 97*q**2 - 216*q + 216*q)*(-2 + 3 + 3) to l + n*q + h*q**2 and give h.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:01 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-48))\/(99*3\/36).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - f + 1. Let i be r(-2). Let t = -0.6 + -0.4. Let y = t + 1.4. Sort y, -0.1, i in decreasing order.\nAnswer: y, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7780304 is divided by 1296668?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Suppose -2*z - a*x = 2*x - 4139975, -6209980 = -3*z - 4*x. Round z to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/60 and 145\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17372 is divided by 16067?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 166*a**3 + 28*a + 15*a**4 - 28*a - 3184 - 10*a**4 + 46*a**3 wrt a.\nAnswer: 20*a**3 + 636*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/((-891)\/(-44)))\/((-14)\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173656569 divided by 3.\nAnswer: -57885523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/17283 - -951509\/4078788. Let d = o - -1\/59. Is -1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let f = 0 - j. Let b be (11 + -1)*1\/2. Put b, f, 4 in descending order.\nAnswer: b, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238860 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12211, -24420, -36629?\n\"Answer: -12209*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*f - 17671900 = -248*f. Does 71 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26719 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2838*s. Let q(b) = 3*b + 4*b - 11*b + 3*b. What is w(q(m))?\nAnswer: -2838*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*c - 1479, 17*c - 5871 = -4*o + 22*c. Let j = o + -841. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10660 divided by 52?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2741*s - 2744*s = -w - 4, -5*w = -3*s + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11108 + 161*f + 11108)*(2 + 0 + 0).\nAnswer: 322*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 4. Let q(a) = -5*a**3 + a**2 + 2*a + 1. Let p be q(-1). Put n, p, -3 in decreasing order.\nAnswer: p, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 + 2\/(-9) + (-190)\/(-45). Let o(m) = m**2 + m + 1. Let u(n) = -3*n**2 - 9*n. Let i(g) = v*o(g) + 5*u(g). Factor i(x).\nAnswer: 5*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24489, -50507, -76525, -102543, -128561, -154579?\n\"Answer: -26018*p + 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-18)\/8) + 70\/(33600\/680).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(75) - sqrt(75)*-2) + sqrt(75) + -5 + ((sqrt(75) + 3*sqrt(75))*-6 - sqrt(75) - sqrt(75)))**2*5.\nAnswer: 9900*sqrt(3) + 181905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 b, and 1 k when three letters picked without replacement from {g: 2, b: 3, h: 6, k: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 0*u + u + 0*u + 2*u - 3*u - 273*u - 753*u - 476*u + (-1 - 2 + 2)*(1 - 1 - u) as q + n*u and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 886 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 4*m - 13. Let l be w(-4). Let b(q) = -q**2 + 20*q + 32. What is the tens digit of b(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*r + 9991 + 8306 = 5279 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 + 413 + 0 + -16 - 49.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26794737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(3 - 1)*-1. Find the first derivative of -2 + 4*o - s*o + o wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 1. Suppose 104*h - 153 + 673 = 0. Let q(g) = -9*g**2 + 2*g - 3. Determine h*s(w) + q(w).\nAnswer: -4*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6646859656 to the nearest 1000000.\nAnswer: 6647000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/4)\/((-36)\/(-384)). Let p(x) = -4*x - 12*x + w*x + x**2 + 1. Let f be p(-1). Solve f*d - 8 = -d + s, 2*s + 6 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-140)\/6*(45216\/(-20))\/(-12). Let i be 18\/(-99) - a\/(-22). What is i rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 g when four letters picked without replacement from {g: 3, u: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.0255 + 0.027. Let n = i + 10. What is n rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + p - 5, -4 + 2 = -2*a - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103077 and 193518?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -4 (c) -2\/155 (d) 0.1 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/4 - 663*u\/4 + 657\/2.\nAnswer: 3*(u - 219)*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.12496174542973+-0.35\nAnswer: -0.22503825457027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*1*-2. Let y(i) = 3*i - 3. Let t be y(5). Suppose 16*u = t*u - 20. What is the closest to u in 3, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4363 - -5.\nAnswer: -4358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4 less than -293.6205417?\nAnswer: -287.2205417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 32*u**2 - 147*u - 68. Let i be f(-36). Solve 21*x = i*x - 57 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/8 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 20. Suppose -2*n - w = -4*n. Sort -2, n, 5 in descending order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 25. Let r(b) = b**3 + 8*b**2 - 7*b + 18. Let f be r(a). Solve -u = -f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + v + 5. What is h(4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -71 (b) -0.026 (c) 2\/7 (d) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/528 and 83\/528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 25800?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5934, -5925, -5902, -5859, -5790, -5689, -5550?\nAnswer: -5367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699 a factor of 480921513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g - 12. Let m be (21\/6 - g)*-1. Let a = m - 1\/4. Put 0.2, -0.1, a in decreasing order.\nAnswer: a, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5967.41ug?\nAnswer: 5967410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 7:28 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -134, -125, -112, -95, -74?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*g + 50121 - 49771 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**4 + 1664086*d**3 - 15380871*d**2?\nAnswer: 216*d + 9984516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*x - 790*x = -153*x - 196*x - 84816 for x.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10428 is divided by 556.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2964684*g + 2*g**2 + 27 - 27 - 2964676*g.\nAnswer: 2*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/432*36*21\/(-4)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1815*d**3 - 13*d + 1765*d**3 + 14*d - d**4 + 0*d**2 + d**2 - 1 + d**2 to z + m*d**2 + s*d**4 + t*d + w*d**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 13*b - 36*b - 1 to the form q*b + w and give q.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -15, -20, -23, -24, -23?\n\"Answer: g**2 - 10*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 + 89 = -7*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -13. Let s = i + -10. Let p = 7\/3 - s. Which is the second smallest value? (a) p (b) 2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67\/6 - -11. Let l = -6\/5 + 7\/10. What is the nearest to -1 in l, z, 1\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g**2 - 5*g**4 + 13*g**2 + 1)*(4*g - 2*g + 0*g)*(-2 + 2 + 3).\nAnswer: -30*g**5 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 5*o + 10. Let z be b(6). Suppose -z*y = -4142 + 386. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8604*a*n**4 - 233*a*n**3 + 30*a*n**2 - 36*a*n - 32*a wrt n?\nAnswer: 206496*a*n - 1398*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = 0, 99 = -18*r + 22*r + 5*s. Calculate the greatest common divisor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 4. Let h(k) = -k**3 - k**2 - 4. Let f be h(-2). Suppose f = 2*n + 1 - 13. Calculate the remainder when n is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8 (b) -2 (c) -1.6 (d) 3\/5 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 4. Let w(d) = -4*d - 9. Suppose 3*v + 111*s - 107*s = -13, 0 = v - s - 12. Determine v*z(g) + 2*w(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-6)*14*(-494880)\/(-560)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5660 to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 62185194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-4 + 42\/10). Let o = 27 - w. Solve i - o = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150057882 divided by 1299\nAnswer: -115518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9647*n - 9648*n + 13. Let d(y) = 13*y - 6 - 5 + 8 - 2 - y**2. Calculate d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -22236\/2999 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-130) - (-2)\/34320*-7034) + (-6)\/(-22).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 9) in base 15?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.28 + -0.72. Sort -4, 3, t in decreasing order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708*k - 5 = -703*k - 5*q, -2*q - 8 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -2*q + 351. Suppose -188 = -q*z - 8*z. Suppose 3*f - 111 = 2*l - 3*l, -2*l - 174 = -5*f. What is the highest common factor of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 273.00155 + -273. Round j to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1401106.99954 + -1401088. Let q = g + -19. What is q rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**2*u**2*y - r**2*u**2 + 2*r**2*y - 4*r*u**2 - u + 24*y wrt u.\nAnswer: 8*r**2*y - 2*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 61347762 and 61347760 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1571 - -10995\/7. Let r = 1.1 - 0.1. Which is the closest to -3? (a) r (b) 2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 10:52 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 7*c**2 + 7*c + 5. Let p be v(8). Let x = 0.326 + 0.674. What is the fourth smallest value in -7, p, 2\/19, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 2*r**2 - r - 4. Let w be g(2). Let i(v) = v**3 + 4*v**2 - 8*v + 4. Let t be i(w). Let d = t - -103. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:01 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from ffoorrfoo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5 (b) 0.4 (c) 984115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*g**2 - 12*g - 31262673 + 31262673 in the form x + v*g**2 + t*g and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8576405.\nAnswer: 5, 73, 23497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 107*w**2 - 32*w - 13. What is the tens digit of a(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p + 38. Let r(f) = -25*f - 163. Let l(n) = -9*o(n) - 2*r(n). Give l(5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5832, -45203, -152018, -359985, -702812, -1214207, -1927878, -2877533?\nAnswer: -4096880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/5)\/((-12)\/(-60)). Solve 0 = 4*z - u*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -5c434d8?\nAnswer: -5c434db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 7238786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/9 - 4390*v**2\/9 - 4388*v\/9 = 0.\nAnswer: -2194, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/12 - -1)\/(4\/8) and 64\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11497\/21 + 1642\/3. What is the nearest to -4 in -14, 0.02, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -2, -6, 5 in increasing order.\nAnswer: -6, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11259116 divided by -22.\nAnswer: 511778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 314326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0715 from -2347340.582.\nAnswer: -2347340.5105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001967229 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 252760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + p**3 + 6*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417028.\nAnswer: 2, 137, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = 15*c + 6*d - 0*d - 4*d, 0 = -2*c + 3*d - 20 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b + 7*b + 4*b + 2*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 16. Let w be ((-6)\/1 - d)\/2 - 1. What is p in -1\/2*p**3 - w*p**2 + 2 + 0*p = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -5*j**4\/24 + 67*j**3\/6 + 648*j**2. Let r(q) = -3*q**2. Give r(v(y)).\nAnswer: -75*y**2 + 2010*y - 13467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -27739 to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -85 in 3, 0.4, 0.3, 1, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 530 + -307. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -15*t - 850. Let z be q(-57). Which is smaller: 179 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 3:01 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/5)\/(20\/650). What is the greatest common divisor of 130 and l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200 - -87. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145\/84 or -3?\nAnswer: -145\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 331 = 125*t + 2081 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -559756*b**4 - 170969*b - 8 wrt b?\nAnswer: -6717072*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -2 + -16 + (3314 - 3231)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 101 = -35. Suppose 15*v + 16000000 = -z*v. Round v to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*l - 24 = 0, 5*l = -3*t + 3*l + 79. What is the units digit of 4 + -3 + t\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.71732 micrograms to grams.\nAnswer: 0.00006871732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10603038 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51071563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1019.178 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 15 - ((1 - 1) + -5)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5292?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from sssasaasssasssssss?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 386270 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022001211120 (base 3) in base 14?\nAnswer: -4367d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49362476361 - 0.3.\nAnswer: 49362476360.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 8:04 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**13\/(g**(-3\/4)*g))**(-1\/40))**(-47) assuming g is positive.\nAnswer: g**(2397\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -134*3\/6 + ((-940)\/705)\/((-4)\/(-33))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/5 of a milligram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 223 - 1698 = 64*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 9:57 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 24 = 20*w. Let i(v) = v**2 - 4*v - 8. Determine i(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 1684?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 1. Let a(i) = i + 1. Let c(q) = -5*a(q) - 6*x(q). Let d(f) = 7*f - 3 + 6 - 4*f. Determine -8*c(s) + 3*d(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 75\/4 of a second?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5650 + 4024. Let l = -725 - x. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450082 to the power of 1\/2, to the nearest integer?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 = -17. Let n = 17 - g. What is the derivative of -4*j**3 + 7 - 7 - n wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -2 + -7 + 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m**2 + 40*m + 4. Let v be r(8). Let o = -198 + 157. Sort -2, v, o, 5 in increasing order.\nAnswer: o, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**5\/20 - r**4\/2 - 3*r**3\/2 - 3*r**2 - 709*r. Determine u(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Let v be (-4)\/(-28) - (-82)\/14. Let u(x) = -103*x**2. Let g = -11 - 91. Let b(z) = -6*z**2. Let r(a) = g*b(a) + v*u(a). What is r(y(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**3 - 23236*g + 92925*g - 23238*g - 23226*g - 23231*g.\nAnswer: -21*g**3 - 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**5 - i**3 + i**2 - 1. Let x(n) = 20*n**5 + 4*n**4 - 22*n**3 - 14*n**2 + 14*n + 10. Let k(s) = -6*g(s) - x(s). Solve k(b) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -15. Let o(l) = l**3 + 8*l**2 + 11*l. Let v be o(-2). Let n be (g\/v)\/4 - 2. Does 2\/77 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*m + 5 - 22*m - 29*m + (0*m + m - 2*m)*(0 + 2 + 0).\nAnswer: -10*m + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2713.\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - cd5?\nAnswer: -cd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-5)*(-12 + 17). Solve -d = 3*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-12)*(-9)\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139502?\nAnswer: 2, 11, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*i + q + 20, 5*i - 5*q = 20. What is the smallest common multiple of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 7*j**2 - 2*j - 24. Let d be l(6). Suppose d = -2*k - 4*q - 10, 7*k - 9*k - 1 = q. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4863524?\nAnswer: 2, 1215881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 7, d: 4, c: 5}. What is prob of picking 2 k?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 6, 1 in increasing order.\nAnswer: -7, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**2 + 4029*h + 148770 = 0.\nAnswer: -1305, -38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 k when four letters picked without replacement from {y: 4, i: 9, k: 3}.\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9087 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.455181 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f**2 - 3*f + 16. Let m(o) = -7*o**2 - 5*o + 14. What is 2*k(c) - 3*m(c)?\nAnswer: 5*c**2 + 9*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28915747 or -28915748?\nAnswer: -28915748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -144 and 0.06631.\nAnswer: -143.93369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991887253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -4) + (15 - (0 - -8)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25337, 25119, 24919, 24737, 24573, 24427?\nAnswer: 24299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 10*b - 25. Give l(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46131 or -46122?\nAnswer: -46131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (154\/33)\/((-14)\/(-18)). Let d(f) = -4*f**3 - f + 1. Let a(x) = -5*x**3 - x + 1. What is t*a(k) - 7*d(k)?\nAnswer: -2*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/21 + 1\/(-3). Suppose 3*j = 8*j. Suppose j*i = -i + 5. What is the biggest value in i, -0.3, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 7*j**5\/20 + 4*j**4\/3 + 11*j**3\/6 + j**2 - 3*j + 5. Let b(v) be the first derivative of x(v). Factor b(t).\nAnswer: (t + 1)**2*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**7\/70 - 23*z**6\/60 + 481*z**5\/180 + 46*z**4\/9 + 32*z**3\/9 - 102*z**2. Let g(w) = 0. What is w?\nAnswer: -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -304, -1158, -2566, -4528, -7044?\n\"Answer: -277*k**2 - 23*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5 = 0, 0*g + 4*g = -2*v - 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.2 (b) -3 (c) 13 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)*n*n**5 assuming n is positive.\nAnswer: n**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 - -91. Let z = 48 + b. Let k = z + -48.99956. Round k to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 15. Suppose 2*y - h = -17. What is the nearest to -1 in 2\/7, 0.04, y?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Suppose -5 - 4 = 3*f, 5*f = 4*b - 23. Suppose 5*k - 23 = 2*c, j*k + 2*c = -0*c - b. Calculate the lowest common multiple of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19402 - -213424\/11. Put 0, b, -5\/4, -20 in increasing order.\nAnswer: -20, -5\/4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/9, -2\/11, 19\/4, -4\/55, 1 in decreasing order.\nAnswer: 5, 19\/4, 1, 2\/9, -4\/55, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5520316?\nAnswer: 2, 1069, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 less than or equal to -10286\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/36008?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/(24\/32). Let x(n) = -7*n - 1. What is the units digit of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*g + 503, -2*g + g + 241 = u. Let o = u + -155. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1099, 1154, 1255, 1408, 1619, 1894, 2239, 2660?\n\"Answer: a**3 + 17*a**2 - 3*a + 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -3 (c) 5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 46. Let y(r) = -r**3 + 46*r**2 - 76*r - 281. Let p be y(44). What is the greatest common divisor of p and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78923.6934 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2) + 28\/(-112). What is the second biggest value in -0.3, -0.5, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4964945?\nAnswer: 5, 29, 97, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -x - 60. Suppose -x*u + 153 = 3*n, 3*u - 5*n = 7*u - 143. Calculate the remainder when u is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.633, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Let g = -16 + 15. Let r(u) = -u + 2. Let n(k) = g*r(k) + 2*q(k). Let l be n(-4). Let d(a) = a. Determine d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907 + 11320 - 571 = -1406*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10493*s + 21092*s = 52*s + 1360877 + 941032 for s.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. What is the units digit of (2 + 1199\/(-33))*(r + -19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1243\/6 or 2?\nAnswer: 1243\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/27*(-24)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4763, -9283, -13801, -18317, -22831, -27343, -31853?\nAnswer: -36361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -23*t - 134 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**2 + 0*p**2 + 0*p**2)*(0 - 1 + 0)*(0 + 0 + 2)*(-2 - 3 - 5)*(p + 3*p + 2*p) to r + z*p + m*p**2 + y*p**3 and give y.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 20. What is the smallest value in j, -2, 2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19\/2)\/((-3)\/(-6)). Suppose -70 + 23 = -2*z - 5*x, 5*x + n = 4*z. What is the smallest common multiple of (-2)\/4 - (-19)\/2 and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00129931 to five decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69956132.\nAnswer: 2, 1459, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/28, -3, -0.4, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*i - 8. Let w = i - -3. Suppose 0 = 275*h - 313*h + 988. What is the remainder when h is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -388 + 993. Let z be j\/5 - (1 - 0). Suppose 6*v - 456 = -z. What is the remainder when v is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*n)*(-11*n + 10*n - 23 + 3*n + (-5 + 5 + 7*n)*(1 - 4 + 0) - n - n + 0*n).\nAnswer: -42*n**2 - 46*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 334203?\nAnswer: 334154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let v(d) = -3*d**2 + 4*d. Let j(l) = -v(l) + 3*x(l). Let g be j(1). Suppose -z - 33 = -g*p, 2*z + 83 = 5*p - z. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, g: 4}. Give prob of picking 3 g.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 115\/(-115)*-2*(-2)\/(-20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 31\/1591 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 3, 62.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) + 1*sqrt(152) - sqrt(152))*5 + sqrt(152)*2*-3)\/(3*sqrt(128)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {o: 5, x: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 4*y = -m + 7, 3*y = 3*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -817 and -0.3?\nAnswer: 245.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17.6 * 4\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 1.43, -3, 3\/5 in decreasing order.\nAnswer: 1.43, 3\/5, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t + 2. Let a(k) = -5*k - 1. What is 13*a(f) + 6*j(f)?\nAnswer: -11*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57628290*l*u**2 - 7*l - 1501783*u wrt u?\nAnswer: 115256580*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {u: 6, t: 2, i: 3, s: 1, j: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 924630 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*q - 79825*q**2 + 131*q + 79823*q**2 - 70*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/64148 and -5\/32.\nAnswer: 513184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82.9 + 79. Let r = 3.9000037 + b. What is r rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 7:28 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12719119*d**4 + 4903869 wrt d?\nAnswer: 50876476*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(108)*2 + ((sqrt(108) + (-2*sqrt(108) - sqrt(108)))*1 + sqrt(108))**2 - (sqrt(363) + -2*sqrt(363)*5 + sqrt(363) + sqrt(300) + 1 + 0).\nAnswer: 18*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 2105808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -20. What is the hundreds digit of 3*(130 - w) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)\/sqrt(3)*3*-5)\/(sqrt(33)\/(-2*sqrt(55)\/sqrt(5))))**2.\nAnswer: 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37620 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8654*g + 20. Let p(i) = -8646*i - 15. Calculate 3*l(a) + 4*p(a).\nAnswer: -8622*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 24*v**3 - 172*v**2 - 31*v + 421. Determine u(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151317 times 1?\nAnswer: 151317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 3518116.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4\/3 + 949015*u**3\/6 - 3752583150*u**2 - 3771642735*u\/2 + 225159740100 = 0. What is u?\nAnswer: -8, 15\/2, 47451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjijqoojjjoj. What is prob of sequence jiqj?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12102121 - 111?\nAnswer: -12102232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 c when four letters picked without replacement from {t: 2, u: 5, c: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 9. Let l be g(6). Let j be ((-1)\/l)\/(-8 - -9). Which is the nearest to j? (a) 0.2 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/30)\/((-6)\/(-9)). Let w = -8.8 - -9. Let s = -0.14 + w. What is the closest to b in 0.2, s, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*c = 2*y - 36, -8 = 2*y - 5*c. Suppose o - y = 45. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**8\/5040 + i**6\/540 - i**4\/72 - i**3\/6 + i**2. Let c(d) be the first derivative of v(d). Factor c(y).\nAnswer: -(y - 1)**2*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-2)\/sqrt(9) + sqrt(63) + -2 - (sqrt(147)\/(sqrt(7)*-2))\/(-1*sqrt(3)*1).\nAnswer: -7*sqrt(7)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 946 a factor of 52025717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 + d + 12. Let m = -278 + 278. Give g(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46621298 divided by 23310649?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y - 4908 - 1580. Let x = y + 13791\/17. Is x smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 54*p + 765. Let g be u(-11). Suppose -14*r - q = -19*r + 163, -5*r - 3*q = -g. Let t = -60 - -104. What is the highest common factor of t and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/750 and 12\/1375.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480859, 480985, 481111, 481237, 481363?\nAnswer: 481489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6.2. Let w = 32 - 39.4. Let z = 11.4 + w. Which is the nearest to h? (a) z (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -262 by -6.\nAnswer: 131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 - -22dc?\nAnswer: 22b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7440 and 9300.\nAnswer: 37200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497*z - 53651 - 61618 = 0 for z.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11717553 to the power of 1\/2, to the nearest integer?\nAnswer: 3423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**6\/15 + g**5\/30 + g - 2. Let v(n) be the first derivative of w(n). Factor v(a).\nAnswer: -2*a**3*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f - 104. Give k(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2. Let k(s) = -609*s + 147. Let u(v) = 38*v - 9. Let b(w) = 3*k(w) + 49*u(w). Give x(b(o)).\nAnswer: -2450*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 14. Let d be w(3). Is 12 a factor of d\/(-2)*3 + 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 + 18*r + 4. Let v be w(-7). Suppose 7*q = 8*q - v. Calculate the greatest common factor of 400 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 39. Put 3, 1, 0, f in ascending order.\nAnswer: 0, 1, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35\/8 - 329\/24. Let l = 9 + h. Let b(i) = -i**3 + 18*i**2 + 1364*i + 31. Let x be b(-29). Sort x, 1, l, -3 in descending order.\nAnswer: x, 1, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 92 = -3*u + z, 0 = -4*u + 2*z + 124. What is the remainder when 190 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.118 + -0.418. What is the closest to 4 in 2, -2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/30 - i**4\/24 + 5*i**3\/3 - 292*i**2. Calculate the remainder when 2*44 + 1 + -2 is divided by k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 7 = 4*o - 2*o, -5*o = -4*i - 37. Factor 6*b**2 + 0*b**o + 3*b**5 + 1 - 5*b + 2*b**3 + 0*b**3 - 7*b**4 + 0*b**5.\nAnswer: (b - 1)**3*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 6*q - 14. Let i(z) = -z**3 - z**2 - 3*z - 2. Let y be i(-2). Let l be p(y). Solve 4 = -l*r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 22 = 4*r - 102, 0 = -3*r - 4*q + 60. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r**5\/r*r*r))\/r)\/r*(r\/(r*r**(1\/11)*r))\/r)\/(r\/r**(6\/7))**(-15) assuming r is positive.\nAnswer: r**(-458\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -2\/27, -0.67, 3?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50605 divided by -25.\nAnswer: 10121\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 + 2*z**3 + 5*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-3)*(-6 - -9). Let l be 4\/14 + (-8)\/g. Factor 2*j**2 + 0*j**2 - 5*j**4 + l*j**4 + 3*j**4.\nAnswer: -2*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - m - 56967 = 0, -5*w - 2*m + 111938 = -30511. What are the prime factors of w?\nAnswer: 61, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2213*-78713\nAnswer: -174191869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3199, -3191, -3171, -3133, -3071?\nAnswer: -2979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 11:16 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*z + 20 + 20, 180 = 4*w + 3*z. Let i = w - -168. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (10 + -16 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 1.4, 4, -2, 2, 1\/6 in decreasing order.\nAnswer: 4, 2, 1.4, 1\/6, -0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 2*u**2 - 4*u - 2. Let h be s(-3). Suppose -g = -h - 4. Let f(a) = -2*a**2 + g*a - 5*a + 0*a**2 + a. Determine f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45694236 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 10:45 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 90702b (base 12) to base 16\nAnswer: 225b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 5*d. Let r = -979 - -1969. Is (-1 + d)\/((-18)\/r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-30) + 2\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2. Let u(l) = -2*l - 4569. Give u(m(x)).\nAnswer: 12*x**2 - 4569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 7*a**2 - 7*a + 6. Let u be 2 + 0 + (-40)\/5. Let w be (-2)\/u + 266\/(-42). List the prime factors of x(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -277, -0.04607, -2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.322, 0, 14?\nAnswer: 0.322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 273675.\nAnswer: 547350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4529665410 a multiple of 7198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 116552 divided by -8\nAnswer: -14569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*s**2 - 349*s**2 + 1 + 907*s**2 - 367*s**2.\nAnswer: 26*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 1\/3, 0.1, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4007046*d**4 - 33651863*d wrt d?\nAnswer: 48084552*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + (2*(1 + sqrt(425))**2 - sqrt(425)) - -3*-3*(sqrt(17) - (0 + sqrt(17)))**2) + -5.\nAnswer: 20*sqrt(17) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w**3 + 4*w**2 - 11*w + 22. Let s(d) = d**3 - d**2 + d - 1. Let f(g) = q(g) + 6*s(g). Is f(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*a - 0. Let o be (10 + -4)\/(4\/a). Let z be o\/(-5) - 33\/55. Solve -6 = -z*d - 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14079*b**2 - 26916.\nAnswer: 28158*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-46))\/(15270\/46828)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 756 + -1262. Let c = v - -858. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5. Let k(l) = -l. What is f(q) + 4*k(q)?\nAnswer: -4*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 138684650.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -584 - -604. Let g be (-116)\/14 - (-4)\/14. Does 7 divide g\/u + (-428)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 12:43 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48981 * 0.9.\nAnswer: -44082.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -17. Put h, -0.1, 0.4 in decreasing order.\nAnswer: 0.4, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6106769 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8666999 + 173252123\/20. Let d = -4390 - j. Calculate the common denominator of -5\/14 and d.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*i**3 + 4 + 20*i**2 + 19*i**3 - 13*i**3 - 11*i - 7*i.\nAnswer: -2*(i - 2)*(i - 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 218, -680, -1564, -2434, -3290, -4132?\n\"Answer: 7*x**2 - 919*x + 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 120?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.2602 * -1.\nAnswer: 17.2602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14823090449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, -14, 2700?\nAnswer: 2700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 54*n - 503. Give t(-36).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*d**5 + 13*d**4 - 32*d**3 + 34571*d**2 wrt d.\nAnswer: 960*d**2 + 312*d - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 11*l**2 + 14*l**2 - 11855*l - 21*l**2.\nAnswer: 4*l**2 - 11855*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50094 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l - 10 = -3*d, -20 = -3*d + 5*l. Calculate the greatest common factor of 45 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.3, 1\/10023, 0.5 in decreasing order.\nAnswer: 0.5, 0.3, 1\/10023, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -62 in descending order.\nAnswer: 5, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 - 3*i. Let l(b) = 3*b**2 + 5*b. Let c be 14\/77 - 92\/22. Let x(u) = c*l(u) - 7*w(u). Find the second derivative of x(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.3, -2.66, 3, 0?\nAnswer: -2.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - 194\/3. Let j = 1 + -2. Let g = 4 - 8. Which is the nearest to q? (a) g (b) -3\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 680226*d**5 - 7664348*d**2 wrt d?\nAnswer: 40813560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 + 20*h**3 + 120259*h**2 + 20411764*h wrt h.\nAnswer: 12*h**2 + 120*h + 240518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 20 = -4*b. Suppose -u - 16 = -4*o, 0*u + u + o = 9. Solve 0 = -2*r - 4*j + u, b*r + 3*j = -9 + 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 111\/2*x**2 - 9\/2 - 33\/4*x + 117\/4*x**3 = 0?\nAnswer: -2, -3\/13, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/38 in 4, -0.1, 0.28, -140072?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-5) + 3*(-1)\/(-180). Let o(k) = k**3 + 8*k**2 - 10*k - 10. Let q be o(-9). Is d greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + (0 - 1) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zllllz. Give prob of sequence lz.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8*(-8 - 0). Suppose -3*q - f*t + 39 = 0, 3*q - 1 = -t + 29. Is -0.1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71974 - -148845. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-756)\/30)\/(-7) + (-4)\/(-10). What is the remainder when 120\/z - (-1 + 2) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = 12. Let i(f) = f - f + 2*f - z*f. Let u(n) = -2*n**2 - 6*n. Calculate 6*i(h) - u(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64*i**2*w - 4*i**2 + 7*i*w - 141*i wrt w?\nAnswer: 64*i**2 + 7*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546444 a multiple of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0\/w)**(-1)*w**4*w*w**6\/w)**(-25) assuming w is positive.\nAnswer: w**(-275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -4, 66 in descending order.\nAnswer: 66, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 192, 344, 532, 768?\nAnswer: 1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1467 + -5?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3322 + -23439\/7. Let g be ((-12)\/16)\/(2\/(-72)). Let t = m + g. What is the biggest value in -0.1, 3\/8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 8, -0.4, 5, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 30 = 4*c, 2*c = 2*k + 6*c - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(112) - sqrt(112))\/sqrt(8))\/(sqrt(4)\/sqrt(8)) + 4)**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*-20)\/((-5)\/((-30)\/(-3))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 5*p**2 - p + 3. Let v be g(5). Let j be (160\/(-15))\/(-4)*(-3)\/v. Suppose -j*i + 4*w = 3*w - 156, 0 = -i + w + 39. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 44 = 8*k. Let o = -16 - k. Let u(c) = -c**2 + 6*c + 2*c**2 - 2*c**2. Give u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-456)\/190*10\/(-32)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(2 - (-8)\/(-6)). Let w be (-1)\/1 + (y - 2). List the prime factors of w\/2 + (-17)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12695905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004927 rounded to 4 decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:53 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 5*z - 4*d, 154 + 24 = 4*z + 2*d. Calculate the lowest common multiple of z and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/12 - -7\/4. Let f = -65.39 + 65.69. What is the third biggest value in u, f, 11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.5 + 9. Let p = -986320.6 + 986318.1000005. Let o = r + p. What is o rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cbcbu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4830 - 154557\/32. What is the nearest to 3 in -8, l, -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0.5. Let n = f + 0.5. Let z = 0.5 + -1. Which is the third biggest value? (a) n (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-165))\/((-16)\/(-60)))\/(19\/(2850\/(-45))).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and 49?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 1 = -13*l + 2*b, 4*b = -l - 17. Let m(v) = v**3 + 6*v**2 + 4*v + 3. Let u be m(-5). Solve u = 7*a - l*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 - 25*c**4 + 36*c**4 - 2*c - 9*c**4 + 2*c**3 - 19*c**2 in the form a*c + f + v*c**3 + b*c**4 + l*c**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 2*t + 2*t)*(-3 + 6 - 1) + (-2*t - 3 + 3)*(-3*t + 0*t - t) - 24 + 24 - t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 5 = 10*s. Let h(l) = -18*l - 7. Calculate the remainder when 242\/6 - (-2)\/3 is divided by h(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -121.54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 109418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 1 = 9. Suppose -4*d = 4*p - 8, 5*p - o*d = -13 + 41. Solve -3*w + 8*w - p*g - 26 = 0, -3*w + 4*g = -22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*701388\nAnswer: 147291.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 2\/23 (b) 23 (c) -0.9 (d) 95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1751\/6 - 292. Put -0.1, -16, y in decreasing order.\nAnswer: -0.1, y, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*j - 303*j + 165 = 5*b - 378*j, -j + 16 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (10 - 14) - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.34.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from kirakxrrxaxsxri?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-2)\/(-5))\/(6\/(-120))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8265*c**2 + 13*c**3 + 8265*c**2 + 8*c**3.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 225 = -l, 0 = 4*l - 0*l + 20. Let k = 68 - r. What is the remainder when 24 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4437 + -17797\/4. Calculate the common denominator of u and 51\/718.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 330 = 4*f. Suppose -f = -3*j - 5. Suppose 4*h - 1 = 3*i - 22, 2*h + 7 = i. Calculate the highest common divisor of j and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 6*f**2 - 7*f + 6. Let l be s(-5). Suppose -3*p = 3*d - 0*p - l, 3*p + 243 = 5*d. What is the greatest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55936696*z**2 + 60181747*z?\nAnswer: -111873392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367.1472 meters to micrometers.\nAnswer: 367147200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -34, 0, 1, -2\/783, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 11*h - 19. Let g be b(-10). Let z be (g\/(-3))\/((-1)\/2 + 2). Find the third derivative of -11*x**z + 3*x**6 + 8*x**6 + 4*x**2 + 3*x**6 wrt x.\nAnswer: 1680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 78*p + 597. What is the remainder when 205 is divided by h(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.3483 * 0.2\nAnswer: 3.26966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*q = -59, q + 175 = 4*j - 103. What is the remainder when j is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -467, 1, -0.2 in decreasing order.\nAnswer: 1, -0.2, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -312413 - -85077. Is (26\/(-104))\/(227338\/t + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*k + 1557 = -11*k - 477 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*p - 48. Suppose 3*g = 3 + p. Suppose g*m + y + 2 - 1 = 0, -5*y - 5 = -3*m. Solve 2*w + 22 = 3*l, -4*l + 4*w + 36 = -m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let t(y) = y**2 + 7*y + 8. Let f be t(-6). Solve 0 = p*o + q - f*q - 5, o - 7 = -q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1648*o**3 + 3*o**2 + 69*o + 27. Is y(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20.3 and -1?\nAnswer: -20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 350*d**2 + 181*d - 23. What is s(-1)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -2\/39, 0.24, 4, -4 in descending order.\nAnswer: 4, 1.3, 0.24, -2\/39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i**2 + 142*i + 332. What is o(13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 3*q**2 - 4*q + 4. Let b be d(4). Let l be (-18)\/81 + b\/18. Sort 2, l, -3 in decreasing order.\nAnswer: 2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 21*g + 7544 = 19*g, 4*o = -3*g + 30187. List the prime factors of o.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 107294 + 55?\nAnswer: 107349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + 1*sqrt(1274) - sqrt(208)\/(sqrt(8)*1))\/((sqrt(64)\/sqrt(2) + sqrt(32))*4).\nAnswer: 7*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003599 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/28)\/((-10668)\/26320). Let w = d - 2\/381. Factor w*a + 2\/7*a**2 + 32\/7.\nAnswer: 2*(a + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -4, -3 in decreasing order.\nAnswer: 9, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 172 - 113. What is the remainder when m is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152.6 - 153. What is the closest to l in 0.5, -8, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -375. Let n = s + -192. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 18 = 13*a - 3*b, 2*a = -3*b - 18. Factor -2\/9*y**3 + 0 + 1\/9*y**5 + a*y**2 + 0*y**4 + 1\/9*y.\nAnswer: y*(y - 1)**2*(y + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = -4*g. Suppose -10 = -g*x + 5. Suppose -4*s + 24 = 4*y, -24 = -0*y - x*y - s. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052092000 rounded to the nearest 1000000?\nAnswer: -1052000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*x = -11*x + 43*x + 102. Which is the closest to -11? (a) 0 (b) x (c) 1 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 25 + -1 + (-14 - -29).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18.8 (b) 0.5 (c) -73\/5 (d) 55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 89 + -51 - (1 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -21438\nAnswer: 1\/1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 - 22*r - 39. Determine o(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from ulllullllllll.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20869 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 83674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/117)\/(148\/(-52)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -8\/21*n**3 + 2*n + 2 + 0*n**2 + 1\/42*n**4. Find d, given that s(d) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**2 - 268*o - 57. Let t be s(-38). Calculate the highest common divisor of t and 5909.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*l*o**3*s + l*o + 25*l*s - 4*l + 2428*o**3*s - o*s + o + 2*s wrt o.\nAnswer: 816*l*o*s + 14568*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -30 - 554. Let g(l) = 2*l**2 + 5*l - 4. Let f be g(4). Let m = f + i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/186 and 4\/217?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(-17\/5)\/h)\/h)*h*h**6)**49 assuming h is positive.\nAnswer: h**(3038\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 21 - 11. Let p(r) = 2*r**3 + 3*r + 5. Let f be p(0). Solve f*d = m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 13*q - 9. Let g be (-2*1)\/((-4)\/76). Suppose 0 = 3*l - 4*k - g - 10, 4*k = -12. Let i be u(l). Solve 0 = 2*o + i + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3928 - 4569. Is o less than -646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227*s + 22632 = -221*s. Does 82 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-19 + 1884\/99).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 5. Let x be w(3). Suppose -280 = -x*n + 240. What is the units digit of n\/4*(-6)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6 - t**3 + 4 + 2*t**2 - t - 4*t**2 - 3*t. Let f be l(-2). Suppose 2*p + f - 4 = 0. Are p and -4\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10080198 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - x - 7. Let z be y(-7). Factor -1 + 0 + 2*w**2 - 1 + z*w**2.\nAnswer: 2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22691300 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + sqrt(125) - (-2 + (4*sqrt(125) + sqrt(125) - sqrt(125)) - sqrt(125)) - 4*3*(sqrt(125)*3 + sqrt(125) + 5))**2.\nAnswer: 27000*sqrt(5) + 315416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 118*d - 113*d. Let p(x) be the third derivative of 0*x**4 + 3\/20*x**5 + 0*x**3 + 3*x**d + 0 + 0*x. Let a(k) = -2*k. Give p(a(b)).\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 46.53.\nAnswer: 46.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*b + 1445861*b**3 - 1348*b**2 - 1443717*b**3 - b wrt b.\nAnswer: 12864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10962721*h**2\/3 + 13244*h\/3 - 4\/3.\nAnswer: -(3311*h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1732?\nAnswer: 8660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (0 - 4 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 10. Let h be m(5). Suppose 18 = 2*n - h*n. Factor 3*j**3 - j**2 - n*j - j**2 - 6 + 2*j**2.\nAnswer: 3*(j - 2)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -12*g + 13155. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 4, e: 10}?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -206, -259, -342, -461?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/9))**(-1\/15)\/(j*j*j**(-13)*j*(j*j\/(j\/(j\/j**(-1\/22))))\/j))**(-46) assuming j is positive.\nAnswer: j**(-612697\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -16 (c) 5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*p = -293*p + 9240 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 + -218083.437.\nAnswer: -217950.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 577*m. Let r(t) = -23163*t. What is r(c(k))?\nAnswer: 23163*k**2 - 13365051*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 46 = 5*f, -294*f + 58 = -296*f + 6*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -42*f - 30. Let g(h) = -13*h - 9. Let m(l) = 8*g(l) - 3*n(l). Give m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 118, 141, -26, -479, -1314, -2627?\n\"Answer: -16*d**3 + d**2 + 132*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4900 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -q - 44. Let b = -20 - q. Solve -v - b*h = 4*v - 11, -4*v + 15 = -3*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2180 - 2175. Solve 0 = -h*i - 4426 + 4466 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 602 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**5\/24 - f**4\/4 + 10*f**3\/3 - 28. Let z(j) be the third derivative of q(j). Calculate z(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f - 1. Let b be z(-7). Let q = b - 10. Let r = 5 + 11. Calculate the highest common factor of r and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 + 13 - 616*m - 9 as y + b*m and give b.\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.2 - -27.2. Let c = -863.63992 + 876.64. Let i = c - j. What is i rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 37*h - 1135*h**2 + 37*h + 2 as x*h**2 + g*h + l and give x.\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/20*(-65)\/(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -607 (base 8) in base 13?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3\/7 (b) 4 (c) 8 (d) -2\/7 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -15*y - 6. Suppose -4*o = -2*g - 32, 5*g + 12 = 3*o + 2. Let w be 8\/20 - 64\/o. Let p be c(w). Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34117451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1351938 by 64378.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -221\/198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 0.349562?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12192 + -85346\/7. Which is the nearest to 27? (a) -8\/3 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/54 + (-790)\/(-12). Suppose w*u = 60*u + 18. 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 x = 4 - 2. Let u(a) = 4*a - 1. Let o be u(x). Determine p so that -o*p**4 - 5*p + 6*p**2 + 2*p**3 + 1 - 9*p**5 + 12*p**5 + 0*p = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*t = -211*t - 1135043. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = l - 34, -x - 14 = -3*x - 5*l. Let s be 4\/6*(-54)\/(-3). Let r(n) = -n**2 + 12*n + 2. Calculate the lowest common multiple of r(s) and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1\/5, -2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1045656 and 83\/66744.\nAnswer: 3136968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5479, -10975, -16487, -22021, -27583, -33179, -38815?\n\"Answer: -r**3 - 2*r**2 - 5483*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259288 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -4\/3*v**6 + 0*v + 0*v**3 - 1 + 0*v**4 + 7\/2*v**2 + 0*v**5. What is the second derivative of w(r) wrt r?\nAnswer: -160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 898 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -4, 5, 4, -12.\nAnswer: -51, -12, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 + 0*l**2 - 2*l**2 + (1 - 2 + 3)*(-4*l**2 + l**2 + l**2) + 3 - 3 - 1063*l**2 + 2820*l**2.\nAnswer: 1752*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 208.7121 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7*(-45 + (3 - 7)). Suppose -4*d - 4*x + 30 = -d, 20 = 2*d + 5*x. Let n = o - d. What is the lowest common multiple of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2. Let m(w) be the third derivative of -11*w**5\/120 + 3*w**3\/2 + w**2. Let o(f) be the first derivative of m(f). What is s(o(d))?\nAnswer: 121*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 9*k + 17. Let x be b(-7). Suppose 0*s = x*s - 9336. Suppose -677 = w - s. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:01 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, h: 2, w: 1, e: 2}. Give prob of picking 1 p and 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m + 2*m + 4*m + m - m + m + 2*m - 4*m + (4*m - 7*m + m)*(-5 + 5 + 1) + 4 + 2*m - 4 - 2*m + 6*m - 5*m + m + 1 + m + 0)*(-m**4 + 2*m**4 + 0*m**4).\nAnswer: 7*m**5 + m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 23. Let t be r(-11). Suppose 9*g - 11*g + t = 0. Which is the nearest to g? (a) 3 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/3019590 and 85\/2?\nAnswer: 3019590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3163772 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -132212 (base 5) in base 10?\nAnswer: -5307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -8*j**2 + 8*j**2 - 8*j**2 + j**3 + 0*j**3 + 9. What is the remainder when 16 is divided by a(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 0 - 3*q - 1)*(1 + 1 - 1).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/47573 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010428877.\nAnswer: 1451, 2074727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 15 = 6*x - 10*x, 0 = 5*l - 45 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -44 - 2\/3*j**3 + 60*j - 21\/2*j**2. What is the first derivative of z(c) wrt c?\nAnswer: -4*c - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 284020 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*p + 6 - 2 - 6 + 0.\nAnswer: -142*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 23 = 3*z - 22*d, 0 = -z - d + 9. Sort 8, 7, -2, z in descending order.\nAnswer: 8, 7, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8)*(-1)\/(-1). Let k(y) = -3*y**2 + 7*y - 6. Let a(p) = 16*p**2 - 36*p + 31. Let v(u) = 2*a(u) + 11*k(u). Let n be v(4). Which is greater: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9320 and 142905890.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33139 + -18204. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15\/386, -72, -3\/2?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10983632 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(4500)*1)\/(3*(sqrt(1089) - (sqrt(1089)*-1 + sqrt(1089)))).\nAnswer: 40*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x**2 - 239*x - 17. Let s(d) = -8*d**2. Determine o(s(n)).\nAnswer: -1024*n**4 + 1912*n**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:08 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 183344*h - 183344*h + 922*h**2 + (h - h - h)*(5*h - 4*h + h).\nAnswer: 920*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-114)\/126 + 4\/7. Let r(n) = -n**2 - 3*n + 3. Let s be r(-4). Let x be (0 - -1)\/(4 - s). Which is the nearest to -1? (a) 3 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/9 - (-8)\/3*1. Solve -x - 1 = s*n - 2*x, n + 4*x = -5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179875 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8903803323?\nAnswer: 3, 2967934441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250.51871 less than 1.17?\nAnswer: -1249.34871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - b + 49*b**2 - 5*b**2.\nAnswer: 44*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/sqrt(44))\/sqrt(9))**2 - sqrt(18)\/((1*sqrt(90) + sqrt(90))\/sqrt(10)).\nAnswer: -sqrt(2)\/2 + 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2449 and -81211.4015.\nAnswer: -83660.4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j - 32. Let v(c) = -5*c + 17. Let w(s) = -6*a(s) - 13*v(s). Suppose 15 = 4*z - 21. Calculate the remainder when w(5) is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or 326\/339?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2127, -8543, -19221, -34149, -53315?\nAnswer: -76707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a minute in seconds?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74413.75 micrometers in nanometers?\nAnswer: 74413750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1 + 9\/1. Let l = 37 - 17. Let f = l - 5. Solve -3*y = 3*r + f, -3*y + 5*r + 15 + n = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**3 + 16*m**2 - 9*m - 16. Let k(z) = 8*z**3 - 17*z**2 + 8*z + 17. Let n(y) = -6*f(y) - 5*k(y). Is n(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(363) + 1 + sqrt(363))**2) + -4.\nAnswer: 88*sqrt(3) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59584818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*g)*(-g - 2*g + g) + g**2 - 3*g + 3*g + 2*g**2 - g**2 - 3*g**2 + (-4*g + 3*g + 0*g)*(2*g + 0*g - g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (240\/(-8))\/(-6) + 174 + -2. Let v = u + -180. Sort -2, v, 3, 8 in descending order.\nAnswer: 8, 3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01286 - -151.08714. Let i = -139.58 - 0.42. Let h = o + i. What is h rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-1*(-3)\/(-462)). Let c = 1521 - d. Suppose 13 + c = -4*t. Round t to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/28)\/(1\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-10))\/(6750\/22500))\/(4\/(-636)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 5, 0.2, 1, 0.5408 in increasing order.\nAnswer: -1\/6, 0.2, 0.5408, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -3*q + 2*l, 6*l = 2*l - 4. Let d(i) = -i**3 - 14*i**2 + 2*i - 15. Let c be d(q). Suppose 0 = 10*g - 0*g - c. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a\/(((a\/(a\/a**(-1\/4)))\/a)\/a)*a*a**(-1\/7)*a\/(a\/(a**(-1\/14)\/a)))\/((a\/(a*a**(-1\/5)))**16)**(-2\/35) assuming a is positive.\nAnswer: a**(5359\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 + 123*a**5 + 3*a**2 + 44*a wrt a.\nAnswer: 240*a**3 + 7380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 119\/(-14)*(-492)\/11849\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**4 + 19*c**3*d**3 - 10*c**3*w**3 - 3*c**2*d**2*w**2 + c**2 - 2*c*d**3*w + c*d**2*w**3 - 2*c*d wrt c.\nAnswer: 120*c + 114*d**3 - 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/3)\/2)\/(130\/(-468)*6)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z + 36*z - 83*z - 4*z - 149*z.\nAnswer: -216*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*w*z - 21*h*w - 2*h*y*z**2 + 2*h*z**2 + 227*h*z - 486*w*y*z**2 + 6*w*y*z wrt y?\nAnswer: -2*h*z**2 - 486*w*z**2 + 6*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.79 in -4, 1\/8244, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 4. Suppose 4*u = 2*u. Suppose u = -d + 1 + 2. Let o(r) = -17*r + 2 + d + 14*r. Determine -4*j(s) - 3*o(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p + 2. Let t(s) be the first derivative of 5*s**2\/2 + 5*s - 717. What is -15*c(l) + 6*t(l)?\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 8*t + 6. Is 3 a factor of h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -50, 2\/5, -0.3, 0, 0.2 in decreasing order.\nAnswer: 2\/5, 0.2, 0, -0.3, -0.6, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 2*b**2 - 3*b - 4. Let m(r) = 3*r**3 + 4*r**2 - 7*r - 9. Calculate 3*m(f) - 7*o(f).\nAnswer: 2*f**3 - 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4897.8927 to the nearest 10.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1239, 2164, 3077, 3972, 4843, 5684, 6489, 7252?\n\"Answer: -n**3 + 932*n + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 100110110111000000011000?\nAnswer: 100110110111000000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 7*z + 1 = 5*d, -8 = -4*z + 2*d. Let f be 62\/(-8) - z\/12. List the prime factors of (45\/(-6))\/(6\/f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 5:36 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 - -142. Solve 0 = g - 5*g - w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 3:30 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 646*i*p**3*s**2 - 3*i*p*s**3 + 15*p**3*s - 2*p**3 - 14*p*s**3 - 2*s**3 wrt i.\nAnswer: 646*p**3*s**2 - 3*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63600, -63804, -64008?\n\"Answer: -204*k - 63396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0 (b) 7.8 (c) 2 (d) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 + -13. Suppose 2*m + 4 = -3*l - 2*l, -x = 4*m - 4*l. Let n = m + 16. Is n smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 7\/(21\/36). Let j(s) = 2*s - 15. Suppose -11*k - 6 = -10*k. Let b(t) = -t + 8. Give k*j(w) + l*b(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -5047b?\nAnswer: 50477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -698 + 700. Solve 2*n - 1 = 5*b - 17, 3*b - v = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from iihesjhiihhhjihe?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -42*i**5\/17 + 1430*i**4\/17 - 6406*i**3\/17 + 7474*i**2\/17 + 256*i\/17 - 696\/17 = 0?\nAnswer: -2\/7, 1\/3, 2, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**2\/2 + 3*j - 1. Suppose 3*i + 7 + 2 = 0. Let s be u(i). Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-25) + (-7362)\/(-150). Suppose 3*s = 5*b + 67, 0 = -3*s + b + x + 10. What is the remainder when 167 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3004 - 12013 + 3015 + 3000 + 3*k + 2994.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(-1)\/4*2. Suppose 4*t + k*w + 2*w = 1688, -w - 1246 = -3*t. List the prime factors of t.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a746 (base 14) to base 9.\nAnswer: 434708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 67\/5 of a kilogram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/105 and -47\/85386.\nAnswer: 426930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 156 - 588617.\nAnswer: -588461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/711 - 18673\/17775. Find the common denominator of -11\/60 and f.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (121 + -115)\/(-14*16\/(-11)) and -13\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -63*a - 26*a + 623 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - 16299. Suppose 617433 = 4*y + z. Round y to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - 6*sqrt(300)*2))\/sqrt(6) + (sqrt(1250) - sqrt(1250)*2) + 3)**2 + 2.\nAnswer: 210*sqrt(2) + 2461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = u - 15, -2*z + 6*u - 2*u + 30 = 0. Solve -8 + 40 = 3*q - z*y, 16 = -4*y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26841256*d*z**3 + 3*d*z**2 + 4792561*d*z + 12*z wrt z.\nAnswer: 161047536*d*z + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 + 42 - 90)*(-6 + 3 + 0)*(2*w - 3*w - w).\nAnswer: -36*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1519374177.900000594 + -1519374201.5. Let n = -23.6 - f. Round n to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 29472 = 3*d + 187642, -q = 5*d - 39554. List the prime factors of ((-24)\/(-42))\/(-4 - q\/(-9884)).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/7 and 11\/106.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - j - 4*j + 9*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -3, 6, 29, 72, 141, 242, 381?\n\"Answer: d**3 - 2*d**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.1, 4, -2, 49 in decreasing order.\nAnswer: 49, 4, -0.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245388 and 121?\nAnswer: 245388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7098\/4 + (-7)\/(-14) + 1. What is the highest common factor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 151?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:45 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 117*f + 32. Let v be h(14). What is v rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -s + 19, 5*r - 24 + 61 = 3*s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*d**3 + 0 + 2\/3*d + d**2.\nAnswer: d*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -138, -205, -272, -339?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(320) + -2*(sqrt(320) + sqrt(320) + sqrt(320) + sqrt(320)*-2 + sqrt(320)) + 1) + -1 + sqrt(320) + sqrt(320) + 0 + 2*(3 + sqrt(320)))**2.\nAnswer: -352*sqrt(5) + 154881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(2484\/(-1955))*(-1 + -2).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 3. Let p = n - 1. Suppose 5*b - 222 = -4*y, 4*y + 209 + 29 = p*b. What is the remainder when b is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 24 = -p - 2*p, -10 = 2*p. Let t(j) = -j**3 - 6*j**2 - 6*j. Let v be t(-5). Suppose 2*l - y = -l + 11, 2*l - 29 = v*y. Sort n, 5, l.\nAnswer: n, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10146, -3, 1, 3, -365.\nAnswer: -365, -3, 1, 3, 10146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -428, -447, -466?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5904 and 4264?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.012 + -0.012. Put h, -2\/7, 1\/16 in decreasing order.\nAnswer: h, 1\/16, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22029789 divided by 2?\nAnswer: -22029789\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1428*d**2 + 19*d + 2. What is q(1)?\nAnswer: 1449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53171081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 5\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*c = -16, 0*u + 5*u = 5*c + 25. Suppose -16 = -5*j + 4*l + 36, u*j = -2*l + 28. Solve 5*f + j + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 116 and 109 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34964.6 years to centuries.\nAnswer: 349.646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + r = 1, -3*k - 2*r = r - 3. Let c be -2*1*2\/(-4). Solve -v = -k*v + c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2 - 6\/4). Suppose 3*i + 28 - 8 = 5*u, 2*u + 2*i = 8. Suppose -3*g + 50 = -4*f + 9*f, 0 = u*g + 20. Solve r - 3*z - 29 = a*z, -3*r - f = 5*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 6:54 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5882)\/(-14705) + (-42 + 1 + -2)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71\/((-6958)\/280)*14\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/(-10))\/(6*(-2)\/40). Which is greater: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 9*j**2 + 23*j + 18. Let h be w(-11). Let l(i) = -4*i + 9 - 1 + 2. What is l(h)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.039387114033 and -7.8.\nAnswer: -7.839387114033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4 = 5*u, 12769*k - 12774*k - 10 = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/3 - 324010*k + 972032\/3 = 0. What is k?\nAnswer: -486016, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - g**4 + (g - 2*g + 3*g)*(-g**3 + g**3 + g**3) + 2*g**4 + 0*g**4 + 0*g**4 + 2 + 2*g**4 - 2 + 44*g**3 + 2*g**4 + 37*g**3 - 79*g**3 + 1.\nAnswer: 7*g**4 + 2*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1)*(8*b + 12 + 0 - 9*b) to x*b + g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - d = 244, 2*d = 3*h - 6*h + 717. Let l = -115 + h. Suppose 0*p + p - l = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - (11 + 3 + -1)) + -5 + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50064 and 9536.\nAnswer: 200256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g**2 - g + 1. Let a be z(1). Let m be ((-1)\/(-3)*a)\/(-4). Are m and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204952*0.13.\nAnswer: 26643.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1959.878 + -3.878. Let k = 2042.1 - m. Let c = k - 91. What is c rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/((-12285)\/(-520)))\/((-374)\/99).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -248*r**6\/15 + 35*r**4\/12 + 9*r**2\/2 + 429*r. What is the third derivative of q(w) wrt w?\nAnswer: -11904*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-5 + -7 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/10 + m**3 + 19*m**2\/10 - 3*m.\nAnswer: m*(m - 1)*(m + 5)*(m + 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i + 3*i**2 + 0*i**2 - i**2 to a*i**2 + b*i + h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-7)*1\/1. Let f be (-2)\/7 + (-183)\/21. Let x = -1 - f. Solve -5*a + 1 = 4*l, -w*l = -5*a - x - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 2189.\nAnswer: 1094.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 7 + 9. Suppose -4*d + 3 = -7*d, -135 = -o - 4*d. Let y = 131 - o. Sort f, 0, y in ascending order.\nAnswer: y, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6438, -6439, -6440, -6441, -6442?\n\"Answer: -q - 6437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1823 or -1820?\nAnswer: -1820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.3, 1\/2, -2\/365, -1 in increasing order.\nAnswer: -1, -0.3, -2\/365, 2\/13, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 + -10?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 6. What is the biggest value in 3, d, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 - 9 - (78 - 59)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*w - w - 2 + w**3 - 79*w**4 + 13*w wrt w?\nAnswer: -948*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1663 = -228*x + 90 + 5315. Solve x*d + 24 = 39*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -10. Let f = z + 12. Let w(m) be the first derivative of -m**4\/4 - m**3 + 2*m**2 + 6*m - 1. Calculate w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k + 1242 = -15*k + 514 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6054191\/7 - 864851. Solve -92\/7 - 10\/7*s**2 + z*s = 0.\nAnswer: 2\/5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7\/9))**(-8\/11))**(-12\/7) assuming u is positive.\nAnswer: u**(-32\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -676300160 to the nearest one hundred thousand.\nAnswer: -676300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {c: 7, y: 3, m: 1, n: 2, q: 4}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10085794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -22 + 0*y - 5*y - y**2 + 22. List the prime factors of j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1539) + sqrt(1539))*1 + 4 + ((sqrt(1539) + -1 + sqrt(1539) - sqrt(1539)) + -5 - 3*(sqrt(1539)*-2 - sqrt(1539))))**2.\nAnswer: -360*sqrt(19) + 153904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00349387 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(2 - -7)*12. Let i(c) = 2*c + 8. Let l be i(q). Sort -4, l, -5 in increasing order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5102 + 5102 + 40*f)*(10*f + 14*f - 20*f + 1).\nAnswer: 160*f**2 + 40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*t + 120. Suppose -5*h - 28 = -5*u + 77, 0 = -2*u + 5*h + t. What is the second derivative of u*z**4 - 2 + z + 2 - 29*z**4 wrt z?\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (25 - (-39 + 114)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9348 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2. Let i(o) = -6*o**2 + 5*o + 5. Let x(g) = -77*g**2 + 66*g + 66. Let c be (11*1)\/((-6)\/36). Let f(n) = c*i(n) + 5*x(n). Determine f(r(p)).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35158471 to the nearest integer?\nAnswer: 5929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13945334?\nAnswer: 2, 13, 257, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c - 29. Let j(p) = p + 1. Let f(z) = -6*j(z) - q(z). Differentiate f(a) wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -11 - 26 - 308*y - 98. Is d(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 6. Suppose -3*t - 2*y - l = -1, 0 = -3*y. Let q be 2\/4*6\/t. Which is the second biggest value? (a) -1 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 113*g - 23 = -6*v - 118*g, -6*v - 5*g + 53 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -51, -82?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 19\/5, -0.06, 4, 14?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (7 - 0) + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936 is divided by 68?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + u**2 - 2. Let m be 2 - 0 - (-9 + 9). Suppose 0 = -4*y - 3*z - 24, -z + 5*z + 22 = -m*y. Calculate k(y).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209213\/12 - 17446. Find the common denominator of -69\/16 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 6*r + 6. Let s be j(-7). Let y(p) = p**3 + 4*p**2 + 3*p + 3. Let c be y(-3). Sort c, s, -2\/15.\nAnswer: s, -2\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4918*y + 1. Let t(g) = 235*g. What is t(a(p))?\nAnswer: -1155730*p + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 + 5*j + 2. Let m(w) = 21*w**2 + 26*w + 11. Determine 11*i(g) - 2*m(g).\nAnswer: 2*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7746 - -0.0352644242?\nAnswer: 2.8098644242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -3*h - 28, 0 = 2*i - 5*h - 9 - 6. Suppose -i*x = -5*d - 2525, 2*x - 709 - 322 = -5*d. What are the prime factors of x*4\/48*1*3?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1300 + 1305. Sort 7, x, -2\/11, -0.1, 2\/17 in descending order.\nAnswer: 7, x, 2\/17, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34c1839 + -c?\nAnswer: 34c182a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10 = -5*h, 7*i - 2*i = -4*h + 37. Solve h*f - g - 6 = 3, 5*g = 4*f - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7510.083 + -7506. Let z = -0.299 - c. Let x = z - 0.018. What is x rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j + 5. Suppose -38*c - 38 = 38. Let s(v) = -5*v - 2. What is c*b(z) - 7*s(z)?\nAnswer: 3*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.07 + 0.07. Let f = -0.8 + -5.2. Let g = o - f. What is the nearest to 0.4 in -1, g, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23925 = -105*r + 130*r. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/8*(8 + -5))\/((-21)\/84). Solve 0 = -8*i - 5*u - 57, -g*i + 6*u = 3*u - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:05 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 10:06 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5 + 9)*(-s + 0*s - 4*s) + 0*s + 2*s - 3*s + (4*s + s - 3*s)*(-2 - 1 + 5) + (2*s - 4*s - s)*(2 + 0 + 0).\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8090\/(-20))\/(0 + 1\/(-2)). Let g = a + -545. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2374445.\nAnswer: 5, 31, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 413043 to the power of 1\/2, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2 = 3*q - 32, -4*f = 20*q - 17*q + 26 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2\/(l**(3\/5)*l*l))\/(l**(-2))**(-40) assuming l is positive.\nAnswer: l**(-403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873752 is divided by 109.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*l - z + 8, -5*z = -20. Let m(g) = g**2 + g + 1. Let r(k) = 80 + 74 - 6*k - 144 + 2*k**3. Let v(n) = l*m(n) - r(n). Factor v(w).\nAnswer: -2*(w - 2)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14bc2 (base 14) in base 13?\nAnswer: -1a704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Let d(f) be the first derivative of f**2 + f - 2. Determine d(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/7)\/(19\/(-21) - -1). Let l = 296 + -480. Let s be z\/(-81) - (l\/18 - -1). Solve 3*r + s = -3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v + 4. Determine g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 265\/3*i**3 - 184 - 111\/2*i**4 + 0*i**2 + 0*i. Find the third derivative of f(r) wrt r.\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**8))\/(l**(-13)\/l))\/(l\/l**(-13))**(-37\/4))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -58?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7938 - -7954. Sort -1, 5, -0.022, x in descending order.\nAnswer: x, 5, -0.022, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -112*j + 5. Let b(h) = 225*h - 11. Determine -4*b(w) - 9*q(w).\nAnswer: 108*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + -1 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43040 divided by -2152.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3 - 2*m + 5*m + 0 + 6*m**3. List the prime factors of n(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -54, -12, 3 in descending order.\nAnswer: 3, 1, -1, -12, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (5 + (6 - -7))) + -1 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -305 + 305. Solve -3*q - 7*q - 40 = l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259856 equal to 259853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286776390?\nAnswer: 2, 3, 5, 9559213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(9) + sqrt(81)*-2)*3 - (6*(2*sqrt(16) + sqrt(16)))\/(-1*1*sqrt(8)))**2.\nAnswer: 15138\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2.9. Let l = d - -0.9. Which is the nearest to -1? (a) 0.2 (b) l (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48778 - 48782. Sort r, 0, 0.1, -579 in decreasing order.\nAnswer: 0.1, 0, r, -579","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 42. Let u be -3 + 1 + s\/3. Let q(v) = -v - 6. Let d be q(-5). Sort d, -4, u, -5 in decreasing order.\nAnswer: u, d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6263, -12524, -18785, -25046, -31307?\n\"Answer: -6261*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5948)\/16595154*66\/(-20). Let f = 1\/8951 + i. Let l = f + -15149\/6180. What is the common denominator of l and -107\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -314, -315?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -4*m - 28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12184 + 12184 + 302*y - 107*y.\nAnswer: 195*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13522*d*o**3 - 17*d*o**2 - 5*d*o + 23*d + o**3 + o**2 - 171*o - 10 wrt o.\nAnswer: 81132*d*o - 34*d + 6*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c - 7. Let o be l(-6). Suppose -o*f + 3*p + 151 = 0, 2*f = -2*p + 67 - 13. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -86.5. Which is greater: t or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-11))\/(4 - 168\/44).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/795 and 101\/250?\nAnswer: 39750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7366*z + 2*w - 15 = -7361*z, 0 = 5*z - 5*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**3\/3 - a + 1. Let q(m) be the first derivative of w(m). Let r(b) = 2*b. Give q(r(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 50 = -103. Suppose 2*d - 4*t - 8 = 0, -12 = -3*d + 2*t - 6*t. Suppose -d*n + n + 51 = 0. What is the greatest common divisor of n and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -3.3. Let z = -71\/56 + 9\/8. Let j be 6\/52*(-8)\/(-6). What is the nearest to 1 in j, z, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57440 and 727693?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2*o**2 - 3*o)*(0*o**2 - 2*o**2 + 0*o**2).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:24 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -59436*x + 416810. Calculate q(7).\nAnswer: 758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295353, -1181300, -2657829, -4724940?\nAnswer: -7382633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -275721 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-360)\/75)\/(-6)*3\/(3*6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -284707? (a) 2\/85 (b) -5 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -0.2, 0.06, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.474819 rounded to 0 dps?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405094 is divided by 1171.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 23*c**3 + 4. Let x(j) = -2*j**2. What is x(y(r))?\nAnswer: -9522*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14384?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133047222 - -2?\nAnswer: 133047224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 6*u + 8. What is t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.21 - 0.19. Let t = v + 1. Let f = 3 - 5. What is the nearest to 2\/3 in 0, t, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(39\/104).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30077296 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.17 + -2.17. Which is the closest to t? (a) 1\/7 (b) 3.8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/8 - 5*s**4\/4 - 23*s**3\/8 - 3*s**2\/2 = 0.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*o + 119*o - 260*o + 81*o + 92*o.\nAnswer: 110*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3394 is divided by 3252?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.65 rounded to the nearest ten?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -350744.9792 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - k, -4*k = -2*i - 2*k. Let j(a) be the second derivative of 0 + 1\/27*a**3 + i*a**2 - 4*a + 1\/54*a**4. Factor j(u).\nAnswer: 2*u*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5\/4 + 5*u**4\/4 + 13*u**3\/4 + 7*u**2\/4 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*u + 2, -2*u = -4*u + 2*i. Let y(m) = -m**3 + 6*m**2 + m - 5. Calculate the lowest common multiple of y(6) and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 594 = t. What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246355 and 43935?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*b + 16, -u + 5*b = 7 + 5. What is the highest common divisor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 434040 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15200394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 356 + -329. Let b = y - -68. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 544.24 - 0.24. Let p = 540 - n. Which is the fourth smallest value? (a) p (b) -1\/9 (c) -1\/5 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 4*m - 5, 21*m - 20*m - 14 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011 (base 3) to base 15.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (130\/5)\/(5 - 3). Solve -17*k + x = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*k - 168 = 0, -120*z - 3*k = -118*z - 391. Calculate the highest common divisor of 658 and z.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 4 - (-2)\/((-2)\/(-3)). Let b(t) = t**3 - 6*t**2 - 17*t + 10. Let y be b(8). Solve y*f = m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + p - 5. Let r(n) = -5*n**2 - 2*n + 14. Determine 11*k(m) + 4*r(m).\nAnswer: 2*m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3.445 * 237\nAnswer: 816.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-88)\/33)\/((-822)\/9). Let q = o + 129\/274. Which is the second biggest value? (a) 4\/7 (b) q (c) -8 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444, 4001, 13786, 32913, 64496, 111649?\nAnswer: 177486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1765 - -915. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31316 (base 9) to base 10.\nAnswer: -20670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 z when three letters picked without replacement from {z: 3, v: 7, d: 5, s: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 21040584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**4 - 4782*k**3 + 7402527*k**2 - 14785902*k = 0.\nAnswer: -2559, 0, 2, 963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3536087 (b) -6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.21, 0.2, 0.14, -4, -499, -1\/4?\nAnswer: -499","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964723 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1ab0b (base 13) to base 14\nAnswer: 1514d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/225302)\/(7\/77)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 5*y + 113, -y = 5*v - 9411. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331000, 331022, 331066, 331144, 331268, 331450, 331702?\nAnswer: 332036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2926294 + -38632933327\/13202. What is the common denominator of -19\/22 and t?\nAnswer: 145222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (156\/(-663))\/((-6)\/(-51)). Put 0, 3, 15, -39, g in ascending order.\nAnswer: -39, g, 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-3)\/6*(-44)\/3. Let u = g + -17. Solve -35 = -5*d + 5*x, 4*x - x + 31 = u*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(3*sqrt(10)\/sqrt(5) + sqrt(2)) + (sqrt(11)*-2 + -1 - sqrt(11) - sqrt(11))**2 + (sqrt(99)*-1)**2.\nAnswer: 33*sqrt(11)\/4 + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*x**2 + 9*x - 6*x - 10*x - 1 - 27*x - 47*x wrt x.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94534 smaller than 94535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/5)\/(2\/(-5)). Sort j, -0.1, -1\/11.\nAnswer: j, -0.1, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2599 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.547, 1\/9, 2\/5, 11.47, 1.4 in descending order.\nAnswer: 11.47, 1.4, 2\/5, 1\/9, -0.547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 12*t**5 - 5*t**5 + (-2*t**4 + 0*t**4 + 0*t**4)*(2*t - 4*t + 4*t) + 4*t**2 - 4*t**2 - t**5 + (2*t**4 - 3*t**4 + 3*t**4)*(3*t + 3*t - 4*t).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 24*k + 104 - 58 - 13*k.\nAnswer: 11*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -656*(24998 - (-3 + 1)). What is x rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20460117 and 11?\nAnswer: 225061287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -26*p**2 - 350*p + 690. What is v(2)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7473052 divided by 1?\nAnswer: -7473052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -458*q**3\/11 - 11446*q**2\/11 + 12008*q\/11 - 104\/11 = 0. Calculate q.\nAnswer: -26, 2\/229, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f**2 - f)*(2*f - f + 0*f) - 7*f**3 - f**3 + 2*f**3 + 6 - 6 - 3*f**3 + 7*f**3 + 3*f**3 + 2*f**3 + (1 - 1 - 1)*(2*f**3 + f**2 - f**2).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25457 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-2)\/(-6)*(-774)\/48. Suppose 21*p = 13*p + 32. What is the second smallest value in 7, p, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o. Let j(r) be the first derivative of 8*r**3\/3 - 48. Give j(f(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a. Let y(r) = -3*r**2 - 788*r - 420. Determine d(y(v)).\nAnswer: -3*v**2 - 788*v - 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - (sqrt(85) + sqrt(85)*3)*-4)\/(sqrt(245)*3) - ((sqrt(833) - (-3 + (-2*sqrt(833))**2)) + -2)*-2.\nAnswer: -6662 + 311*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 129784942 and 1240.\nAnswer: 129786182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 5*j - 3\/2*j**2 + 3\/4*j**4 + 0*j**3 + 0. Differentiate u(h) wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = x, 0 = 2*d + 4*x - 132. Suppose 0 = 4*j - 6*j + 2*s + 60, 123 = 4*j - s. Calculate the remainder when d is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p = -70. Suppose 5*h - 5 = p. Suppose -h = -8*a + 5*a. Let z(k) = 4*k + 9. Let q(g) = 2*g + 5. What is a*q(j) - 3*z(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -5*c**4\/8 + c**3\/2 + c**2. List the prime factors of b(-6).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 + -1030?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from {f: 1, u: 4, y: 1, o: 1, j: 1, z: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4416960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r\/(r**(2\/7)*r)*r*r*r)\/r)\/r**9)\/(r**2)**(-6\/17) assuming r is positive.\nAnswer: r**(-545\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2\/553, 59057?\nAnswer: -2\/553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15.7 times 7.06\nAnswer: -110.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 + 366461286711.\nAnswer: 366461286659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 145722 and 2086?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, p: 1, m: 1, d: 7, r: 8}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 10*m**2 - 9*m + 12. Let g be y(-9). Suppose 78 = 2*p - 186. Calculate the greatest common factor of p and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (-85 + 12 - -192).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let o be (1\/(-1))\/(l\/13). Let q = o - -50. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-112) + 2\/(-8). Let i = 1.6 + -1.3. Which is the second smallest value? (a) y (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*(2 + sqrt(180) + -2*2*sqrt(180) + sqrt(180))*5)**2 + 5).\nAnswer: -72405 + 4800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1687*d**2 + 26360*d**2 + 2*d - 2*d.\nAnswer: 28047*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198408 is divided by 263?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 25 = -0*g. Let z be 1*-15*1\/g. Suppose z*v = -2*v + 10. Solve -4*x + 3 = -3*f + 7, 0 = -v*f + 3*x + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a. Suppose 0*g + 150 = 2*g. Let r = g - 70. Calculate the remainder when f(2) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 11:24 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 10*h**2 + 10*h + 1. Determine z(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = v + 3*v. What is the highest common factor of v and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p*p**(-1\/2)))**(-19)*(p\/p**8)\/((p\/(p**(-5)*p*p*p)*p)\/p)*(((p*(p\/p**8)\/p)\/p)\/p)\/(p\/p**(-6\/11)) assuming p is positive.\nAnswer: p**(1429\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*q - 100*q = 62*q - 155 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 12:49 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20342098555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16970713 is divided by 360?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 1340 = 2*m. Let h = -227 - m. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 11.1. Let q = s - 1.9. What is the second biggest value in -4, q, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30458286 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-67)\/(-100) - (-15)\/(-20). Let z(f) = f + 3. Let x be z(-4). Is i smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1474*b**2 - 3276*b**2 - 1 + 1 + 709*b**2.\nAnswer: -4041*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5406 divided by -5\nAnswer: 5406\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -11. Let r = 14 - l. List the prime factors of 2\/r*(-8)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 121*r - 22110. What is p(-100)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1258 in 1\/5, 3, 5, -5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18570*(-8)\/(-16) - 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194559.\nAnswer: 3, 64853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 2*q + 32 - 23 + 7*q. Does 4 divide w(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -10.000065. What is b rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*s - 1 = -6, -2*r + 12 = -s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 1. Let b(z) = 7*z + 15. Let a(q) = -b(q) + 5*s(q). Let u be a(-7). Suppose d = 3*n - 115, u*n = -0*d + 2*d + 156. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u - 75. Suppose -6*a + 44 = -l, 25 - 23 = -l. Calculate m(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040053016 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2051, -3174, -4297, -5420, -6543?\n\"Answer: -1123*t - 928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*a - 5*j, 0*j + 12 = 3*j. Let o = 1 + 4. Which is bigger: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5406215, 5406175, 5406135, 5406095?\n\"Answer: -40*k + 5406255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 9, n: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211008*c*k**6 - 2*c*k**2 - 50219*k**2 wrt k?\nAnswer: -25320960*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6618 is divided by 3111?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 + 7*z. Let y(n) = -28*n**2 + 32*n + 9. Let f(m) = 7*m**2 - 8*m - 2. Let l(r) = 9*f(r) + 2*y(r). Give -5*i(a) - 4*l(a).\nAnswer: 2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*h**2*i**3 + 3188*h**2*i + 15532*i**3 wrt h?\nAnswer: 34*h*i**3 + 6376*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -156*q**2 + 5*q - 145. Let r(i) = 157*i**2 - 6*i + 171. Determine 6*c(y) + 5*r(y).\nAnswer: -151*y**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/30 and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cerw when four letters picked without replacement from wrwrrercrwrrt.\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*h + 22 - 617 - 145. Solve h*y - 44*y + 21 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1863*h + 3333*h + 900*h - 720*h.\nAnswer: 5376*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 50*x = -97761223. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 8*d - 2. Let w(v) = 2*v**2 - 9*v + 3. Let l(i) = 6*s(i) + 5*w(i). Give l(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a tonne in kilograms?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b = 15. Suppose -16 = -5*m + 9. Let x = b + m. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 = -4*i, -2*j + 311*i - 16 = 315*i. Is 9\/851 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40283 = 1457*k - 62899 - 40035 for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**2 + 617*c + 84. Let p be l(-77). Solve 3*i + 9 = -p*y + 10*y, -i = 5*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02155 bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**4\/12 - 2*b**3\/3 - 17*b**2 + 3*b. Let m(l) = 3*l + 7. What is 6*m(r) + 10*w(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 - 7 - (1 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -35.5 * 0.086\nAnswer: -3.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2044.0373 and -5.\nAnswer: -10220.1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451862312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -9. Let h = 13 + g. Let w = h + -0.8. Sort 5\/2, w, -0.4.\nAnswer: -0.4, w, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-864)\/6912)\/(52\/64).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -11120110010120011?\nAnswer: -11120110010120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32013424 (base 5) to base 4.\nAnswer: 1001013303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - ((4*(sqrt(600) + (sqrt(600) - -2*sqrt(600)) + sqrt(600)) - sqrt(600)) + sqrt(600)))*6)\/(-1*(sqrt(3) - (sqrt(9)\/sqrt(3)*-6 - sqrt(3)))*1).\nAnswer: 285*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4202490 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 27*i**2 + 22*i - 12. Is 5 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168949437.\nAnswer: 3, 37, 1522067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -354.11 + -6.89. Let q = -350.88 - s. Let d = -8.8 + q. What is d rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2742918199 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*o = -776*o + 1624 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -163 - 1714059\nAnswer: -1714222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1584) + 1 + sqrt(1584) + 3 + 3*(sqrt(1584) + -1 + -3)**2 + 1.\nAnswer: -264*sqrt(11) + 4806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 2, m: 2}. What is prob of sequence mhhm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 9. Suppose -11 = 7*b + 3. Let j be ((-48)\/6)\/(-4) - b. Let v(w) = -1 + 1 + 0 - 1. Give j*n(x) - 36*v(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100201414 (base 5) in base 13?\nAnswer: -10b99b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 f when four letters picked without replacement from eeeeuefeuuueuf?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:10 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 26 + 12 = 0. Suppose -8*t = -14*t + 18. Solve d*i + 2*i - j = -3, -3*i + t*j = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1636 (b) -0.5 (c) 0 (d) -19 (e) 1 (f) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3737 + -2161. Is f a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-642)\/65163)\/(50\/(-290))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 13 - 1 = -4*t, -2*c + 42 = -2*t. Let f(s) = 22*s**3. Calculate the lowest common multiple of f(1) and c.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 209*q - 3727 + 701 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4656 + -4656.07. What is the second biggest value in 0.1, u, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3471.\nAnswer: 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545308 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -1.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6650 is divided by (35 + -35)\/(-30) - 2*-26.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -132 (b) -1\/3 (c) -4 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14510 - -22497. What are the prime factors of j?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149089 is divided by 74542.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*b - 6*b. Let z be 2 - -1*b*1. Suppose -4*v = 4*t - v - 19, 25 = 5*v. What is the nearest to t in 0.5, -3, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -13. Suppose t*b - 20*b = 0. Suppose -4*c - 5*z + 629 = b, -5*c + 715 + 87 = z. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:42 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 28*h + 5 - 4 + 13*h to m + q*h and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + m - 15 = 4*m, 0 = 2*l - 5*m - 10. Suppose -4*j = -l*j + 3. Calculate the least common multiple of j + 27\/((-6)\/(-2)) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 382 - -34?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5488351 and 18832.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10236140477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7830161?\nAnswer: 7830161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14142641*a**2 - 48063184.\nAnswer: 28285282*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 24*m**2 + 4*m + 31. Is f(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8175773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - d = 125, 3*i + 3*d + 0*d = -87. Calculate the common denominator of 5\/4 and (30\/(-22))\/(i\/(-32)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/13 or 0.285275404?\nAnswer: 0.285275404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16733 by 20802.\nAnswer: 16733\/20802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ce8 + 17?\nAnswer: 2cff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 26901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w + 14. Let p be z(-3). Suppose -4*o = -40 + p. Factor 2\/3 + 7\/3*r + r**o.\nAnswer: (r + 2)*(3*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300220 (base 4) in base 8?\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - 3*f + 2*f)*(0*f + 0*f + 2*f) + (2*f - 3 + 3)*(-39 - 21 + 3)*(-5*f + 8*f + 11*f) as x + j*f + q*f**2 and give q.\nAnswer: -1594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/4 (b) -12 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.22*-431\nAnswer: 94.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 - 1)*(0 - 4 + 3) + 3 + 0 - 5 - 44 - 20 + 163)*(3 - 3 + 2*r).\nAnswer: 198*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 466626309, 466626308, 466626307?\n\"Answer: -g + 466626310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 14 = -3*h - 5*q, -3*h = -5*q + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-1248)*26886\/(-22405)?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 16 = 3*f - 41, 2*x = -2*f - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3868 + -3873. Let t(p) = -p**3 - 5*p**2. Let j(h) = -h**3 - 4*h**2. Let q be -6*((-3)\/2 - 0). Suppose -4*m + 7 + q = 0. What is m*t(f) + x*j(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126818183189 + 13252373324277781\/104499. Let f = m + -2\/11611. Let v = -3\/23665 + 686312\/212985. What is the common denominator of f and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21999, 23069, 24139?\n\"Answer: 1070*i + 20929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120.5 - 3.5. Let y = o + -116. Which is the closest to y? (a) -0.4 (b) 2\/9 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 53.2. Let n = f + -3.7. Suppose m - 3*o = -8*o - 11, m + 4*o = -8. Which is the nearest to -1\/2? (a) -0.3 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449 + 542*q**3 - 449 - 76243*q**2 + 76243*q**2.\nAnswer: 542*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-174)\/(-3)*(-12)\/(-24)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8050350 a multiple of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/15)\/(41\/(-205))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, 4*n - 9 - 23 = 4*a. What is the greatest common divisor of n and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9, -277, 0, 1 in decreasing order.\nAnswer: 9, 8, 1, 0, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3312445?\nAnswer: 5, 167, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 460 + 1410. Calculate the highest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47*w**4 + 38*w - 11*w + 98*w**4 - 50*w**4 + 33 + 97 wrt w?\nAnswer: 4*w**3 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 21 + 11 = 0. Let c be f\/6 + (-1)\/3. Let h = 9 - c. Solve -k = 2*t - h*k - 10, -k - 2 = -2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 2. Let u(x) = 1767*x**2 - 3*x + 160. Let r(n) = 18*a(n) - 2*u(n). What is the second derivative of r(l) wrt l?\nAnswer: -7104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from nnnpnmemenmmnnmnmn?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4822385 is divided by 2641?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1260 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10*1)\/((2 - 3)\/(-4)). Let j be (-340)\/l - (-2)\/(-4). Find the second derivative of 3*f**3 - 2*f - 4*f - j*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7465 divided by -5.\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -8. Let a(s) = -31*s - 5. Let o(i) = -49*i - 8. Let h(m) = -8*a(m) + 5*o(m). What is h(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(4\/(-3))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (10 - -3) - -7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9755, 10298, 10857, 11438, 12047?\n\"Answer: x**3 + 2*x**2 + 530*x + 9222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(2) + -2).\nAnswer: -12 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.51? (a) 0.3 (b) -64.6 (c) -26\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7251 + -2979. List the prime factors of k.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3 + -50 + 53. Solve l = d - 10 + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2580 rounded to the nearest ten?\nAnswer: -2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491108 a multiple of 411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 113 = 2*w, 2*w + 3*h + 2 + 103 = 0. Let d = w + 89. What is the first derivative of 9 - 3 + 5*p**4 + d*p**3 - 35*p**3 wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**2 + 63*w + 62. Let a be d(-30). Let p = a - 873. Suppose 0 = 6*c - 2*c - 3*x - 7, -7 = -c - x. Sort 3, -2, p, c in increasing order.\nAnswer: -2, p, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3073 - -1772. Let n = r - -221. Round n to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 69 + 59 = 0. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -100058?\nAnswer: 100058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + q)*(-1 + 4 - 1) + 414*q + 1059*q - 137*q.\nAnswer: 1332*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4470825, 8941652, 13412479, 17883306?\n\"Answer: 4470827*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**2 - 24*g + 8. Let a(k) = 5*k**2 - 12*k + 4. Let d(l) = 13*a(l) - 6*c(l). Let i be d(-12). Solve -4 - 8 = i*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -1\/20*i**5 - 7\/12*i**4 + 0*i**3 - 12*i + 0 + 7\/2*i**2. Let o(k) = 3*k**2 - 3. Calculate 3*c(q) + 7*o(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534 is divided by 623.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 21*z**2. Let c be (1 - -57)*(-10)\/20. Let i = 33 + c. Let j(n) = 8*n - 11*n + i*n. Give r(j(y)).\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -84 - (-49 - (136 - 175)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 530 - 948. Let r be d\/(-231) + 5\/(-3). Factor 1\/7*f**4 - 2\/7 + r*f**2 + 3\/7*f**3 - 3\/7*f.\nAnswer: (f - 1)*(f + 1)**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 21098*i + 1868. List the prime factors of r(2).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 1734 - 318 = 0. Does 33 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*r + 2 + 2, 3*r - 1 = 4*x. Suppose o + x*o = 0. Suppose o = -3*q + 2*q + 259. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5051*z + 4575*z - 11424 = 0 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.28 from -3.\nAnswer: -4.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 347 + 11?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 11*x**2 + 5*x + 8. Let s be v(-11). Let p = -41 - s. Suppose -4*r + 6*r = p. Solve r*k + 4*h - 2*h - 15 = 0, 2*k - 10 = -h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96 + 244. Let v = 147.5 - u. What is the third smallest value in 2, -11, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 + 2*l - 1. Let v(h) = -5*h**2 - 2*h. Let f(m) = 3*d(m) + 2*v(m). Let a be f(-4). Calculate the highest common factor of 189 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/4*1*2. Solve 0 = -5*l - 2 - i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.694+-9\nAnswer: -8.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - z**2 + 3*z + 3. Let s be t(-2). Let a be (-9)\/2 + s\/(-10). List the prime factors of 9\/a + 2 + 21.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -52*v**2 + 7*v + 61. Let r(f) = 27*f**2 - 4*f - 29. Give 4*n(k) + 7*r(k).\nAnswer: -19*k**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 = -3*w, 3*h - w - 113 = -112. What is the third smallest value in h, 1\/3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 6*m - 25 = -10*q + 2*m, 2*m = -380*q + 362*q - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h - 2*f = 16, 2*h + 3*f - 24 = 0. Suppose 2*c = -3*i - 7, 0 = -i - c - h + 5. Let o(v) = -v**2 - 5*v - 1. Give o(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 16 + 15 - 17)*(-2*v**2 + 4*v**2 - 5*v**2)*(-44 - 3 + 4) in the form h + w*v + m*v**2 and give m.\nAnswer: -4386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4))**(-23) assuming x is positive.\nAnswer: x**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156127940 divided by 1139620.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 178 times -83417\nAnswer: -14848226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.606 - 0.114. Let u = c + 0.32. Is u <= 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5 - 232*q**4 + 3502*q**3 - 9792*q**2 - 31023*q - 17496 = 0 for q.\nAnswer: -1, 9, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 34 = 13*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b + 108. Let a(l) = -l**3 + 9*l**2 + l - 1. Calculate the smallest common multiple of x(-6) and a(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97 or 17812\/83?\nAnswer: 17812\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -36, 30967, 2.\nAnswer: -36, 2, 24, 30967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 101000110010?\nAnswer: 101000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1296 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 199505*g\/6 + 99752\/3.\nAnswer: (g + 1)*(g + 199504)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -444*u**2 - 12*u + 6. Let y(n) = -444*n**2 - 12*n + 5. Let i(l) = -6*f(l) + 5*y(l). Is i(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/88 and 30\/181819?\nAnswer: 1454552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 324*p - 645. Let f be w(-2). Let l(g) = -19*g**2 - g + 4. Let m(t) = -t**2 + 1. Determine f*l(o) + 4*m(o).\nAnswer: 15*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15947*o**2 + 7937*o**2 + 8002*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*s - 290. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/64*128\/272?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -566 in -0.2, 49, 0.2, 1\/7, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72390.61 + -71542. Let d = s - 855. What is d rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 12.7. Let o = p + -0.30000027. What is o rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 5*v**2 + 5*v + 4. Let j be 7\/(14\/(-4)) - -6. Let z be y(j). Let o = 11 + z. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. Let y = -39.1 - -90. Let f = y - 51. What is the smallest value in 0.2, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 70, 167, 264, 361?\n\"Answer: 97*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14115 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22201\/9 + 2467. Sort d, -0.48, 6, 5 in descending order.\nAnswer: 6, 5, d, -0.48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*n + 5, -n + 7 = o - 0*n. Let z = -576 - -573. Let k be z\/((-6)\/2)*o. Solve -x = -2 + k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose h = 3*d - 13. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-13\/5)*y))**(2\/21)*(y*y**(-3)*y)**(1\/49))**18 assuming y is positive.\nAnswer: y**(1002\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -527.\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 13762044*q + 23674231882242.\nAnswer: 2*(q + 3440511)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/1449*21*-6. Find r such that -115\/4 - 5\/4*r**t - 30*r = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61881735 divided by 399237?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31313 (base 4) to base 14\nAnswer: -475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 402941, 403587, 404233, 404879, 405525, 406171?\n\"Answer: 646*v + 402295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 851.33 - 844. What is u rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053446471 rounded to 6 dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-16)*17 - (3 + 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - s**2 - 4*s - 1. Let p(j) = j**2 + 4*j - 3. Let t be p(-4). Let m be (1\/t - 0)*-12. What is the units digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 171314694.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + r + 103 = 0, -5*l - 5*r + 69 = -46. Calculate the remainder when l is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (385\/(-825))\/((-70)\/1320)?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 1\/12 (c) -14 (d) -0.005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -2*a + 2, a + 4*v = -2*a - 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9474*g**3 + 12*g**2 + 8*g - 16. Let r be o(-8). What is r rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192761855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -f - 4*j - 5, 5*j - 205 = -5*f. Let y(c) = 46*c**2 - 82*c**2 + f*c**2. Let r(k) = k**2 - 11*k. Give y(r(m)).\nAnswer: m**4 - 22*m**3 + 121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v = 144. Suppose -2*c = -3*r + 34, 0 = 3*r - c - 30 + 1. Calculate the highest common factor of r and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35395 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406634 is divided by 135474.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259*r + 297*r + 326*r + 6 + 324*r + 315*r + 0.\nAnswer: 3*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 174.29.\nAnswer: 87.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a factor of 2806278346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**2*z**2 - o**2*z - 15*o**2 + o*z + 119*o + 751299*z**3 + 13 wrt z.\nAnswer: -6*o**2 + 4507794*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 12*d**3 - d**2 - d - 5. What is p(2)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**4\/9 + 591506*r**3\/9 + 7290188116*r**2\/3 + 229578673858*r\/9 + 109321769780\/9 = 0.\nAnswer: -73933, -10, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 41400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*s - s - 63 = 0, 9*s = 532*y - 537*y + 8*s + 67 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -13*y + 1253. Let u be c(94). Solve u*o - 69 = -7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78020 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 20. Let x = t + 12.91. Let o = x - -5.09. Sort -5\/6, -0.3, o.\nAnswer: -5\/6, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42 - (1 + -3)\/(-1). Let l = u - 7. What is the highest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/59147 and 71\/165.\nAnswer: 887205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1217552 - 1218188.263. Let n = 636 + a. What is n rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217395507 and 14994.\nAnswer: 2499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 5:45 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 0, -11, -19, 0.26102, -4 in increasing order.\nAnswer: -19, -11, -4, 0, 2\/17, 0.26102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, d: 2, m: 2}. What is prob of picking 1 m, 1 d, and 2 t?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2475.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1846877, -1846881, -1846887, -1846895, -1846905?\nAnswer: -1846917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147991903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 1\/2*a**4 + 0*a - 3*a**2 + 4\/3*a**3 + 8. Find q such that w(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 0)*(-76*c - 17*c - 121*c).\nAnswer: 642*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -34. Suppose -49 = -3*o + 62. Suppose o = c - 4*a, 4*a = 4*c + 2*a - 134. Calculate the lowest common multiple of u and c.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 + -151. Let t(g) = -g - 13. Let c be t(d). Solve c*h + 18 = -3*f, -h = -3*h - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 18. Suppose -6 = w*r - 12*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:56 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255144 (base 12) to base 7.\nAnswer: -5120644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 302, 0.\nAnswer: -3, -1, 0, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjojjjssoujus. Give prob of picking 1 o and 1 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102995 - 102995 - 915*l)*(13 - 20 - 27)*(-2 - 4 + 4).\nAnswer: -62220*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 11. Let g = -38 + 41. Which is the nearest to 5? (a) g (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from svvssmsvmvssssvdms?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5857*k**2. Let i(h) = -3*h. Give r(i(s)).\nAnswer: -52713*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5916 (base 13) to base 5.\nAnswer: 400100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 1:40 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**2 - 4*f - 2. Suppose -2*w + 12 = -4*k + 2, -2*w + 5*k + 14 = 0. Let a be s(w). Let t = 203 - a. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/64439 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35862932?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1346 = -3*a, 2*a = 7*q - 2*q - 890. Let n = a + 453. Solve 0 = -4*m - 3*z - 6, -3*z = -m + n*m + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110256926.\nAnswer: 2, 13, 1733, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 45*o**2 - 75*o - 111. List the prime factors of x(47).\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 6*k + 3. Let s = -296 - -301. Give i(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807415 = -4*p + 833193. Let j = 215152 - p. Round j to the nearest ten thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 13*o = -6*o + 56 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-426)\/(-10011) - (-17575)\/1175.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 68*q**3 + 121 + 76 + 78 - 273 - 4*q**4 in the form r*q**4 + c*q + y + g*q**3 + k*q**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/20 + (-81)\/(-15). Suppose -26 + u = -i. Let v = i - -8. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*r - 160 = 0, 0*r + 96 = 3*m - r. Let b(c) = -c**2 - 11*c + 8. What is the remainder when m is divided by b(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 19, -4 in decreasing order.\nAnswer: 19, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3277035109 or -1?\nAnswer: 2\/3277035109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + b + 2)*(-54 + 54 + 19*b).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25713162 to the power of 1\/2, to the nearest integer?\nAnswer: 5071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y. Let f = 0 - y. Which is greater: 6\/7 or f?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from {z: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 18*k**2 + 91*k - 63. Is g(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q + m + 22 = 0, -12 = -2*q + m. Let b(p) = p**2 - 5*p + 3. Let o be b(q). Suppose -o*y - 528 = -4*a, -5*a - y = -0*y - 641. Is 43 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124554 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4131953 (base 11) to base 8\nAnswer: 33645400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 25 = -3*k, 4*k + 5*s = 33. Let f(w) = -w**2 + 9*w + 12. Let o be 9*(2 + (1 - 2)). Calculate the remainder when f(o) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/h)**(-12)*h**(-2\/27)*h*h*h\/(h**30\/h)*h assuming h is positive.\nAnswer: h**(943\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 4*p**2 - 3*p - 7. Let v(s) = s**3 + 4*s + 4 - s + 2*s**2 - s. Let z = -21697 + 21693. Calculate z*k(f) - 7*v(f).\nAnswer: f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, y: 1, i: 8, k: 4}. Give prob of picking 1 j, 1 i, and 2 k.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2482, -19940, -67324, -159598, -311726?\nAnswer: -538672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3790 and 29660.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 7:48 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 3*m**2 + 5*m + 27. Let q be n(-4). Solve 6*g = q*g - 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280325323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 313692 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3 - 111*m**2\/2 + 43*m - 1. Let r be a(19). Let s = -2 - -3. Put -0.1, s, -5, r in descending order.\nAnswer: r, s, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = 0, 4*p + c + 3*c = 72. Let d(z) = -z**3 + 12*z**2 + 12*z + 16. Determine d(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 8 = -1. Let y = -2462 - -2465. Sort y, p, -24 in descending order.\nAnswer: y, p, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 - 248*o**2 - 76880*o.\nAnswer: -o*(o + 620)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2)\/(3\/186). Let i = k + -157. Let v(z) be the first derivative of z**3 + z**2 + 1. Determine v(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 62*f + 24*f = 344 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + 2*sqrt(99))**2 + 0 + ((sqrt(99) + (sqrt(99) - (sqrt(99) - ((sqrt(99) - (sqrt(99) - (sqrt(99) + -1))) + sqrt(99)))))**2 - sqrt(99)).\nAnswer: -69*sqrt(11) + 1302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/20 of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/15 - 3\/(-25). Let t be ((-2)\/(-196))\/((-2)\/8). What is the third smallest value in s, 5, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 4*p - 6 + 76, 14*u + 34 = 15*u + 2*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1691\/6 + 282. Let a(x) be the third derivative of 0 + 1\/30*x**5 + 0*x + 1\/24*x**4 + 5*x**2 + k*x**3. Calculate a(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728465541?\nAnswer: 11, 1181, 133051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*n + 1)*(n + 2*n - 2*n)*(-285*n + 74*n - 91*n).\nAnswer: -906*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1621 and 79868291.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 118*o - 96*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 85, 218, 413, 670, 989, 1370?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11525351 at most as big as -11525353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349047 is divided by 1498.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 4*y + 14, 0*s + y - 8 = s. Let r be 62\/(s + 5) + -1. Suppose 4*k + r = -k. Let p(o) = o**2 + 6*o - 1. Calculate p(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from {z: 2, q: 1, o: 2, k: 1, l: 1, d: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3141\nAnswer: 1\/3141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -136431?\nAnswer: 136432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 24*y + 18. Let n(r) = 5*r - 5 - 2*r - 4*r - 6*r. Determine -5*f(q) - 18*n(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 113 = -3*q - y, 3*q - 84 = y. Let z = q - 88\/3. Suppose -5*n = 3*l - 4*l + 2, 5*n = 4*l - 8. Which is smaller: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3 = -7, -5*g - 42*r + 29 = -41*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 853011*q**4 - 29*q**3 - 19389254*q**2 - 2*q?\nAnswer: 20472264*q - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -18*s**2 + 2*s + 1042. Is 19 a factor of t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.9 - -8. Let g = j - 0.2. What is the closest to g in -0.5, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -1, 32, 37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, m: 1, a: 6}. Give prob of sequence addd.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9265*k + 83377. Determine l(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 296.0004ml in litres?\nAnswer: 0.2960004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 15*o - 33 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n + 17*n + 12*n - 19 + 22*n + 24.\nAnswer: -10*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + 13*k**2 + 7*k - 11. Let u(r) = -2*r**3 - 7*r**2 - 4*r + 6. Give 7*u(t) + 4*v(t).\nAnswer: -2*t**3 + 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -8*n + 3*n + 27, -5*n + 3*h = -22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - b + 6. Let m be (((-15)\/3)\/(-5))\/((-2)\/(-10)). Let h be 22\/m - (2 - 32\/20). Let p(y) = -2*y**2 + y - 5. Give h*i(l) + 5*p(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.2 + -22. Let d = -0.393 - 1.377. Let v = k - d. Round v to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*x + 4*p - 5*p, -2*p = 4*x - 16. Let g be (-2)\/x*6\/(-5)*-5. Let q(y) = y**3 + 5*y**2 - 3*y - 5. Determine q(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 14 + 22*u + 264 - 7*u - 16*u + 46.\nAnswer: -u + 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, l: 2, i: 7}. Give prob of sequence ni.\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/60 and -9\/392.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from {q: 1, h: 1, e: 2, f: 2, j: 2, w: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2 + 2*q + 13*q)*(q - 14*q**2 + 8*q**2 + q) to the form s*q**2 + o*q**3 + t + h*q and give o.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -311, -315?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 347.9 + -348. Let j = 23.3 + -23. Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 101*i - 4 - 47*i - 51*i + 4. Let t(s) = 1413*s. Calculate z(t(o)).\nAnswer: 4239*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2828\/260 - 11)*-3 + (-2)\/(-5).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -22. Factor b**5 + 4*b**r - b**2 - 5*b**4 + 2*b**4 - b**3.\nAnswer: b**2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1 (b) 1\/24 (c) 5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**20*z*z*z)\/((z\/(z\/(z**(-17\/4)\/z)))\/z*z*z) assuming z is positive.\nAnswer: z**(113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (sqrt(135)\/sqrt(3))**2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 4*m - 27. Let k be r(-8). Let u(o) = o**3 + 1. Let t be u(0). Suppose 3*s = s. Sort s, k, t in descending order.\nAnswer: k, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 12*n.\nAnswer: -3*n*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) -2 (b) 6 (c) 215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 1. Let f(h) = 18*h**2 - h - 10. Let s(b) = f(b) + r(b). Is 36 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8052, 3, -3 in descending order.\nAnswer: 8052, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174.14 + -172. Let i = 0.49 - u. Let w = i + 0.4. What is w rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4860*o**2 + 9728*o**2 - 4869*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3660 - 4?\nAnswer: -3664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -707693.1616 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 17. Let c = -37 - -42. Suppose 7*a - 2*a - 10 = 0. Solve 6*q + o = q - a*k, -c*k - 16 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6092, -6064, -5998, -5876, -5680, -5392, -4994, -4468?\nAnswer: -3796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 101131, 101127, 101121, 101113, 101103, 101091, 101077?\n\"Answer: -x**2 - x + 101133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 255 divide 54060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2816 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -10*j + j - o, 4*j = 6329*o - 6332*o + 31 + 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 24*f**2 + 99 - 32 - 29.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9 - 21.9. Let t = 14 - h. Let i = t - 29.6. Which is the second biggest value? (a) i (b) -0.4 (c) -0.29 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1802442.85756 and 1278.\nAnswer: -1801164.85756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3227\/2305)\/((-231)\/(-30))*-27.\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119\/3 + 39. Let c(w) be the second derivative of -w**3\/6 - w**2 - w. Let n be c(-2). Which is bigger: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, g: 9, a: 2}. What is prob of sequence gt?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 233191?\nAnswer: -233198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/41 in 0.06, 4, -1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 117770?\nAnswer: -117773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g**2 + 5*g - 13. Let o(v) = 12*v**2 + 6*v - 8. Give -5*d(a) + 4*o(a).\nAnswer: -2*a**2 - a + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {z: 1, v: 2, o: 1, t: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 24 - 9 = 0. Let t = i + 4. Suppose t = -h - 0. Is -2 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 84*x**2 - 87*x + 331. Give o(83).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhbh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0 (c) 0.12 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l = -5*k - 3170, 4*k - 3134 = -5*l. Round l to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -95 - 164. Let f = p + -259. Solve -2\/7*o**2 - 4\/7*o**3 + f - 2\/7*o**4 + 0*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 87 = -5*q. Let f = 11 - -4. Calculate the remainder when 59\/5 - (-3)\/f is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108693.\nAnswer: 3, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2865)\/(-3) + 1 + -1. Suppose 8*o = 3*o + c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*q. Let u = q + 3. Suppose -2*p + u = -3. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 51 = -2*p, -y = p + 7 - 29. Solve 7*d = -y - 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c6 (base 14) to base 10\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 60, 133, 232, 363?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 26*s**2. Let z(g) = -17*g**2 - 13*g + 13. Let r(d) = 4*d**2 + 3*d - 3. Let p(b) = 26*r(b) + 6*z(b). What is q(p(i))?\nAnswer: 104*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 28. Let m(w) be the first derivative of -w**3\/3 - 4*w**2 + 64. Give m(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34\/5 + 37\/5. Which is the second smallest value? (a) x (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w + 17. Let t = 3168 + -3151. Let f(r) = 5*r + 6. Determine t*f(q) - 6*u(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400730*c**2 + 207493*c**2 + 193232*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-5))\/(3 + -4). Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 23*s + 150 + 89 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119501*w**2 + 120731*w**2 + 35 - 240229*w**2.\nAnswer: 3*w**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1122)\/(-345202))\/((-102)\/(-221)).\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4\/9*w**2 - 1\/9*w**3 + 0 - 4\/9*w = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4\/7 - 26356*b**3\/7 + 1996228*b**2\/7 - 2829812*b - 3118752 = 0 for b.\nAnswer: -6664, -1, 13, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 15, y: 3}. What is prob of sequence gygy?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 14. Suppose -i = 4*n + 3*f - 5, 7 = 3*n - 5*f. Let o = -47 + 45. Sort 0.3, o, n in decreasing order.\nAnswer: 0.3, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 758 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5011 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - 80*r - 304. What is c(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21037664?\nAnswer: 2, 43, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67\/28 + 15\/7. Put 4, r, 3\/7 in increasing order.\nAnswer: r, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(1*sqrt(6)) + sqrt(11) + sqrt(55)\/sqrt(5)*1 + -1 + (sqrt(352)*-2 - sqrt(352) - sqrt(352))\/sqrt(8))**2.\nAnswer: 10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**3 + 4*x**3 + 6*x**3)*(-2*x**2 + 0*x**2 + 0*x**2).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29249953 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25210 divided by 1\nAnswer: 25210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 260*o**2 + 82*o + 38. What is the remainder when f(-4) is divided by 143?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 17, m: 1}. Give prob of sequence zm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 + 130*v**2 - 845*v = 0 for v.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.951544 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:48 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q*q**(-1\/3))**(17\/5)*q*q\/((q**(5\/4)*q)\/q)*q\/(q**(2\/3)\/q*q) assuming q is positive.\nAnswer: q**(271\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -3 (c) -0.32 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:47 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 61056*x - 4965219.\nAnswer: 3*(x - 20433)*(x + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*o - 416 = -8753 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -14, -64, -154, -296, -502, -784?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -486.5 - -486. Let n = 15 - 10. Put n, -4, s, 6 in increasing order.\nAnswer: -4, s, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.77 and -3.323.\nAnswer: -15.85071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -69a2151 - -2?\nAnswer: -69a214d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62226739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 732*v**4 + 6960*v**3 - 3482*v**3 - 3478*v**3 + (2*v**2 - v**2 + v**2)*(4*v**2 - v**2 - 5*v**2) to s*v**3 + r*v + a + j*v**4 + p*v**2 and give j.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/15660 and -71\/1038.\nAnswer: 2709180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 3*r**4\/2 + 3*r**3 - 27*r**2 + 24*r - 611. Factor k(t).\nAnswer: 3*(t - 2)*(t + 4)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*q**3\/9 + 1531688*q**2\/9 + 201992*q\/9 - 67328\/9 = 0. What is q?\nAnswer: -2\/7, 2\/13, 8416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 61 - (2 + -1)\/1. Suppose 3*p = 8*p - i. Calculate the highest common divisor of 30 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9 = -2*b. Let v(m) = 1 - 1 - b*m. Let j be v(-4). What is the greatest common factor of 18 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - d**3 - 3*d**5 + 2*d**3 + (d**2 - 5*d**2 + 2*d**2)*(0 + 4 + 2*d**3 + 0*d**3).\nAnswer: -6*d**5 + d**3 - 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 + 437*n**5 - 83*n**2 + 294*n**5 + 134*n**5 - 811*n**5 + 382*n**5 wrt n?\nAnswer: 26160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-4)*(-146)\/(-3942)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2144246.58s?\nAnswer: 3.54538125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*s*y**2 - 3*s*y - 1016*s + y with respect to y.\nAnswer: 54*s*y - 3*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 1, q: 2, t: 5, s: 6}. Give prob of sequence sqs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 31 + (0 - (-3 - 1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -2)\/(9*16\/432). What is the nearest to a in 6, 0.5, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 0.3, 3.83, -1, 5.9, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 6. Let d be p(-3). Let f(c) = -2*c - 7. Let i(j) = 2*j. Let s(l) = l - 1. Let w(t) = -2*i(t) + 3*s(t). What is d*w(u) - 4*f(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1282, 0, -2, 3, 28 in ascending order.\nAnswer: -2, 0, 3, 28, 1282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -3*s + 47, -l - 4 - 9 = -s. Suppose -255*c - 13756 = -16306. Solve p = s - c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 - ((23 - (12 + 4) - 18) + 4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (-6 - -73) - (0 - 1 - -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 75384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 2528*t**2 - 20893979*t + 61326606762.\nAnswer: (t - 3613)**2*(t + 4698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.25 (c) 2\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5*(4 + -14). Let b be ((-15)\/h)\/(3 - 140\/48). Let r = 48 - b. Solve r*g = -5*c + 13, 4*c - 30 = 5*g + 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4587536.21 rounded to the nearest ten thousand?\nAnswer: -4590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31702 divided by -131.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 126.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22201002 (base 4) to base 11.\nAnswer: 2a3a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*b + 5 - 30, -g = 2*b - 5. Let x be (-84)\/147*14\/(-4) - 101. Let c = -97 - x. Solve -g*s - q = -4, c*s + 0*q = -3*q - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -1073*k**3 - k**2 + 7*k + 15. Is w(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(7 + 277\/(-35)). Suppose -4096\/7 - 384\/7*x**2 - 1\/7*x**4 + 2048\/7*x + g*x**3 = 0. What is x?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (-4 + 6) - (-1948)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 299602*d - 2 + 2 - 1 + 8. Let t be l(15). Let k = -8694037 + t. What is k rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 1169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23217 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -163?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*a + 95, -4*l - a = a + 70. Let n = 19 + l. Solve t + n = 3*f, 0*t = 2*f - 4*t - 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14*s + 177. Let u be j(-13). Let b(c) = c**3 + 4*c**2 - 8*c - 4. Give b(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -7. What is the third biggest value in q, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/3 + 2064370*v + 639243524535.\nAnswer: 5*(v + 619311)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-5))\/((-4)\/(-110)). Suppose -2*w + 7*w + 5*d = 40, -5*w - 4*d + g = 0. Let i = 17 - w. Solve a + 3*n = -7, -4*n - 23 = i*a - n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s - 5. What is l(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*v = 15*v + 419 + 493 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 3*m**2\/2 - 11*m + 234. Determine n(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293 - -446. Calculate the highest common divisor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z + 7. Suppose -27 + 7 = -4*l. Let i(u) = 3*u - 6. Let d(n) = l*o(n) + 6*i(n). Find the first derivative of d(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1 = -3, 18 = 3*k - 3*t. Let q = 6 - k. Let s = 2 - q. Which is the second biggest value? (a) s (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 2, p: 1, a: 5}. What is prob of picking 2 a?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b. Let a(j) be the second derivative of -j**3\/3 - 4*j. Let o(n) = 4*a(n) + 7*m(n). Let i(f) = 11*f**2. What is i(o(x))?\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -131*j - 646. Give x(-2).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(2 + sqrt(7) + 4).\nAnswer: 24*sqrt(7) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 412*j - 60556. Determine k(147).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 555170 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (-54 + 29 - -4).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 24 + 36. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2\/3, 10, 8\/5, -2 in increasing order.\nAnswer: -2, -2\/3, -0.06, 8\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78585 is divided by 1254?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1234 - 1177.5. What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329131.\nAnswer: 11, 29921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 295393, 295401, 295409, 295417, 295425, 295433?\n\"Answer: 8*j + 295385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bb3b + -2?\nAnswer: -2bb3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34358002 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 + 3*k**4 + 0*k**4 + (0 - 1 - 2)*(-7*k - 9*k + 6*k)*(20*k**3 - 3*k**2 - 11*k**3 - 17*k**3).\nAnswer: -237*k**4 - 90*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -356*v**2 - 108*v - 1392. Differentiate p(t) wrt t.\nAnswer: -712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/116 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 <= 767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7994670 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*b = 186 + 96. Solve 0 = b*c + 4*a - 12 + 4, 3*c + 2*a = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8 + 9 - 4 + 19*f. Let x be d(2). Solve x = 4*t - 5*l, -2*l - 2*l = 12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015112 rounded to five dps?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/177 and -5\/2073.\nAnswer: 122307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2 - (-1 - 2)). Suppose -4*q - 2*k = -28, 4*q + 5*k = -p*q + 22. What is the greatest common factor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.578 + -59.722. Let i = v + 60.2. Let n = -5 + 24. Is i != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*1\/(-2)*2. Suppose -2*a + 23 = -n. What is the smallest common multiple of a and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 6, 4*c - 5*c + 4*p + 4*p + 6 = 20*p for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 6 - 36 = 33 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -105*o + 2. Let f(v) = 28034*v - 535. Determine 2*f(z) + 535*g(z).\nAnswer: -107*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11921 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2299400592.5 to the nearest 100000.\nAnswer: -2299400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2882 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 16) to base 6\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*6\/24 + (-74)\/148?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0073253 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698155999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 2*j + 274. Let q be n(0). Let y = -273 + q. Suppose 3*x = x - 10. Put -1, y, 5, x in descending order.\nAnswer: 5, y, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -66, -136, -230, -348, -490, -656?\n\"Answer: -12*j**2 - 10*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y - 3*y + 2*y**4 - 3*y**4 + (3064*y - 2701 + 2701)*(-3*y**2 + 1 + 2*y**2 + 1 - y**3) as c*y**3 + j + g*y**4 + a*y**2 + t*y and give t.\nAnswer: 6129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1143 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpg when three letters picked without replacement from oonpnepgpgogoeee?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 6. Let u be x(10). Suppose -8 = -u*t - 0*t. Suppose j - 2*h - 33 = t*h, -78 = -2*j - 4*h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 18 = 4*z. Let v = -7 - z. Put v, 2, 1 in ascending order.\nAnswer: 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 47 - 16 = 0. Let s(o) = -o**2 + 12*o - 26. Let t be s(b). Suppose -3*a + 3*c = -2*c + 6, -3*a = 5*c - 24. Are a and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 525 (b) -2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-3))\/((-14)\/(-42)). Let g be (0 + -3 - u)\/1. Is ((-10)\/(-15))\/(g\/1908) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 5*i - 14. Let j(m) = -3*m**2 + 20 + 7*m + 21 + 7*m. Let h(u) = -6*j(u) - 17*q(u). Calculate h(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 13453 = -3*u, 0 = -i + 4*u + 1860 + 834. List the prime factors of i.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102012 (base 3) to base 6\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z + 3. Let t be (-17)\/(2890\/(-20)) + (-2)\/17. Determine k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -27, 4, 5\/3, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + 4 + sqrt(42)\/sqrt(216).\nAnswer: 4 + 19*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k**4\/k)*(k**(-1\/2)\/k)\/k*(k*k**(-1\/4)*k)**(7\/3) assuming k is positive.\nAnswer: k**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 10 = 50. Sort -1, a, -4 in ascending order.\nAnswer: a, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 56577?\nAnswer: 113154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 30*w + 19. Let h be q(-6). Let p = 236 + h. Suppose 3*x - p - 168 = 0. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 12 = 2*y. Let u = -601 + 602.3725. Let x = u - 0.0725. Is x >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8321*d - 7996488. Determine g(-961).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 724437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044310 + -10?\nAnswer: -1044320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*t - 1 = p, 0 = -t + 2*p + 2. What is the derivative of -9 + t + 17*r + 6*r wrt r?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62210.48 to the nearest one hundred.\nAnswer: 62200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -230a7a (base 11) in base 15?\nAnswer: -73c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*m = 77*m + 65*m - 244. What is the second smallest value in m, -0.145, 2, 4\/7, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-2) - 1720763\/41052\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.56699 and 1.29536228.\nAnswer: 0.72837228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 557708526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x - 75. Let v be k(14). Suppose 42 = v*u + 15. Suppose -5*m + 12 = -u, 1127 = 5*r - m. What are the prime factors of r?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjshjszsjj. What is prob of picking 1 h and 1 j?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9978 bigger than 9969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 7:15 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 0 + 26*x + 11*x - 58*x + 1. List the prime factors of m(-18).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1998*t - 3*g - 12 = 2001*t, 8*t = 4*g - 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/45*(-909)\/(-1212)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430992 is divided by 2343?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 1:13 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9*f = 16. Suppose -2*b + 3*r = -19, -f*r - 23 + 3 = 0. What is the greatest common factor of 16 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 134*n**2 + 618*n - 10796. Determine r(-139).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 10 = -f. Suppose -697 = -f*u + 4*h, 2*h = 4*u + 7*h - 574. Suppose d = -3*d - 5*n + 117, -u = -4*d + 3*n. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 - 1)*(-6*n - 8*n + 11*n) - 2 + 2*n + 2)*(6 - 3 - 2) to b + u*n and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - 1\/2*2. Let f be 21\/(-14) + k\/4. Suppose -1 - 3 = -2*u. What is the closest to f in 3\/7, -1\/5, u?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*u - 2*u**3 - 124 - 11*u + u**2 - 12*u - 12*u - 11*u to i + p*u + c*u**3 + l*u**2 and give i.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 63\/308*2\/3. Suppose -2*h - 2*h = -12. Suppose c + h*u = -2, 4*c - 2*u = 2*u + 8. Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 5. Let g be u(5). Suppose 4*v - 51 - 13 = 0. Suppose g*k = k + v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2622 - 2626. Sort a, -1, 782 in increasing order.\nAnswer: a, -1, 782","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 145. Let n = d - -9. List the prime factors of n.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, -0.3, 4, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -58*c**3\/3 + 21*c**2\/2 + 35*c - 66. Let a be v(-2). Put a, 2, 4 in increasing order.\nAnswer: a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*r - 1. Let d = 5 - 4. Sort -4, r, d in descending order.\nAnswer: d, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**6\/360 - t**5\/15 + t**4\/4 - t. Let v(x) be the third derivative of j(x). What is the units digit of v(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 + 3*x**2 + 5*x**2 + 0*x**2 - x**2 + 3*x**2 + 3*x - 3*x - 2*x**2 + (x - 3*x + 4*x)*(-x + 1 - 1) + (x - x - 2*x)*(0*x + 0*x - x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-15)\/(-12))\/(-1)*(-392)\/245\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((132\/(-18))\/(-11))\/(1\/(-45)*-3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 44\/17 (b) 52 (c) 2 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-19\/4)\/t)\/t**(-22)*t**(2\/11)*t\/(t*t\/t**(-1)*t)*t assuming t is positive.\nAnswer: t**(635\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -39, -54, -67?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.9 - -2. Let w = -4.89 - -4.82. Which is the third biggest value? (a) w (b) -0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -0.52\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-4 + z**2 - 11 - 15*z**2 - 5*z**2).\nAnswer: 19*z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 785511907.965 + 45?\nAnswer: 785511952.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:19 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775256411 to the power of 1\/3, to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 0\/1 - (-8196)\/4. Suppose -1419 = -5*p + 4*c + 1986, 2*c = 3*p - z. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -405032 (base 7) in base 11?\nAnswer: -478a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -7. Let r = -794 + 568.5. Let j = 225 + r. Which is the closest to 0.3? (a) t (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1696999*u**2 - 4*u + 5. Let y be s(1). What is y rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1026, -4731, -10876, -19461, -30486, -43951, -59856?\nAnswer: -78201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/33*9\/(-144)*-24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 2\/13, 2?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/114 or -782?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*q**3 + 76*q - 16*q - 22*q**3 + 4*q**5 wrt q.\nAnswer: 80*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 + 16.1. Let d = -19 + l. Let z = 4.600046 + d. Round z to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (435\/137808*33)\/(15*(-20)\/(-24))\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**5\/60 - c**4\/24 - c**3\/6 + 2*c**2 + 257. Give p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i - 6. Let v(p) = 2*p**2 - 4*p + 5. Let o(x) = -2*x**2 + 3*x - 4. Determine i*o(c) - 5*v(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - f + 160. Calculate l(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5235 - -0.0235. What is the closest to 1 in i, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 3*k**2 + 36 - k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.05 (b) 0.3 (c) 0.058 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4594080 and 96.\nAnswer: 4594080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*h = 19*v + 19*v - 42*v - 37, -15 = 4*v + 5 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + ((-84)\/8*6 - 9)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2181736003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-59)\/(-7) + 18\/(-42). Let w = 5 - 2. Suppose -a - w*a = -d. Solve 2*f + 2*v = 5*v + 11, 2*f = -a*v + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 17\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 502 in -5, 0.3, -0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -72, -138, -192, -228, -240?\n\"Answer: q**3 - 73*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**6\/720 - 3*t**5\/40 - t**4\/4 - 11*t. Let u(m) be the third derivative of n(m). Give u(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 2*f**5\/5 + f**4\/4 + 5*f. What is the third derivative of n(i) wrt i?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 14. Let f be z + 0\/2 + 2. Let u be ((-96)\/(-40))\/((-6)\/(-20)). Calculate the greatest common divisor of f and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103143 - -14?\nAnswer: -103124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 2*a**6\/15 + a**5\/5 - 2*a**4\/3 + 2*a. Suppose u(c) = 0. What is c?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 35, -12*m - 4*r = -8*m - 32. Solve -m*d = 3*d + 54 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.13 - 2.97. Let n = p - -3.1. Which is the second smallest value? (a) 2 (b) -2\/5 (c) n (d) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 382646 - 382646.199907. Let j = 0.2 + u. Round j to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.64 + 56.44. Let t = m + -55. Let p = -0.9 + -3.1. Which is the biggest value? (a) t (b) -2\/3 (c) p (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*((-1)\/(-2) + 21\/(-54)). What is the second smallest value in -0.5, b, 0.3, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.21, 3\/7, -3\/5 in increasing order.\nAnswer: -3.21, -3\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 144\/126 - 12*3\/42*-1. Let j(a) be the second derivative of -9*a + 0 + 0*a**3 + 0*a**4 - 22\/15*a**6 - 3\/2*a**r + 0*a**5. Differentiate j(i) wrt i.\nAnswer: -176*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, d: 12, k: 2, a: 3}. What is prob of sequence daak?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 150*l**2 - 5*l + 64. Suppose -2*y - 22 = -0*y. Is z(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 2*sqrt(153)*1)\/(sqrt(3) - sqrt(363)*1))\/((sqrt(12) - (sqrt(12) - sqrt(12)*-1*5))\/(6*(sqrt(16)\/sqrt(4) - sqrt(4) - sqrt(4)))).\nAnswer: 3*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 + 0 + 5 + 1.\nAnswer: 12*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8978 is divided by 835.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25 = 5*k, -2*k - 25 = -4*t - t. Suppose 6*c - 102 = -k*c. Solve 4*g - 3 = c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4\/7)\/r)\/r)\/r)**(-2)*r**9*r**(-2\/47)*r assuming r is positive.\nAnswer: r**(5626\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 313 - 2008. Let n be s\/(-27) + 4\/18. What is the highest common divisor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*m - 4 = 5*m, -4*y + 10 = -5*m. Suppose y*b - b = 11. Which is smaller: b or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 16906 + 16918 = 0 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13304430140 (base 5) to base 16\nAnswer: -1017943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccccpcccp. What is prob of sequence cc?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000462302 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/(-14))\/(15 - 349444\/23296)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/6)*z)\/(z*z\/z**(1\/4))*((z**(2\/3)*z)\/z)**(-38) assuming z is positive.\nAnswer: z**(-101\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*o + 52*o + 25*o + 36*o.\nAnswer: 189*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**6\/240 - r**5\/30 - 7*r**4\/6 + 3*r. Let n(g) be the third derivative of l(g). What is n(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 4. Let y be g(-6). Suppose -2 + y = m. List the prime factors of m\/(-9) + 8\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/(3\/18). What is the common denominator of 59\/22 and ((-1)\/4)\/(d\/262)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 74 - (-3)\/(3\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10824\/(-656))\/((-9009)\/210).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*l = 149*l + 285 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1078005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*d - 14*d - 6 + 6 in the form b*d + j and give b.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**5\/10 - 5*v**4\/12 + 5*v**3\/6 - v**2 + 103*v. Let q(m) = -3*m**3 + 6*m**2 - 6*m + 2. Determine 6*n(p) + 5*q(p).\nAnswer: -3*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12419405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in -3, -122, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.17, -2\/17, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 8*f**2 + 6*f - 2. Let i be b(-7). Suppose 0*c - 10 = -i*c. Factor n + 2*n + 3*n**c - 1 + 1.\nAnswer: 3*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let n = -28 - -28. Suppose n = -10*k + 9*k. Solve w = -4*b - k - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9962731.\nAnswer: 17, 37, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.7058\nAnswer: -0.28232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 9:06 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*q + 186*q - 1371 = 6355 - 40708 for q.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000026788281 rounded to 7 decimal places?\nAnswer: 0.0000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-670)\/(-469)*(-4)\/(-10)*(5 + 24\/(-4)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 256854 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r + 9. Let u(i) = i - 1. Determine 5*u(t) + v(t).\nAnswer: -3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 37343060\nAnswer: -186715300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**3*t**3 - p**3*t**2 - 32*p**3 + 3*p**2*t**6 - 2*p*t wrt t?\nAnswer: -24*p**3 + 360*p**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 83\/104?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -539, -1074, -1607, -2138?\n\"Answer: m**2 - 538*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 + 365. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3456)*-2)\/((-5*sqrt(40)*1)\/sqrt(5)).\nAnswer: -48*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8869640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -12, 4*d + 39 = r - 0*r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbb when three letters picked without replacement from oybjbobvyyb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 38 - 12. Suppose l*b = -55 + 65. Let 3\/2*t - 3\/2*t**3 - 1\/2*t**2 + b - 1\/2*t**4 = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 17*c = 1099. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7398*j**3 + 5*j**2 - 23181*j**3 - 5*j**2.\nAnswer: -30579*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/12*(-2 - (-12)\/10). Let -26*w**2 - 3*w**4 - 3 + 55*w**2 - 23*w**i = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/171 + 32\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 915929 divided by -5.\nAnswer: -915929\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 200, 198, 202, 212?\n\"Answer: 3*s**2 - 11*s + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6632839943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17868.\nAnswer: 2, 3, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60819 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aav when three letters picked without replacement from vdzdvddzdzddddadi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 2*n + 3*i - 268, -3*i = -2*n + 270. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6566858 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*j + w, -6 = j - 2*w - 3*w. Let s(x) = -15*x - 2. Let m(d) be the first derivative of -4*d**2 - d + 48. Determine j*s(z) + 11*m(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujr when three letters picked without replacement from xjxuugxurxuujujxx.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + -5 + (17 - 7) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153656 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 111, 94, 59, 0, -89, -214?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232 - 237. Let m = -4 + -3. Let q = m + 9. What is the third biggest value in r, q, -1.9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23020342 (base 6) to base 8\nAnswer: -2534146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -13*t. Let w(n) = -40*n. Let f(h) = 3*p(h) - w(h). Let k(b) = -71*b**2 - 2*b. Calculate k(f(y)).\nAnswer: -71*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2090283516 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1128*h - 644*h + 876*h = -31280 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(1\/6))**22\/(f*(f**(-2\/9)\/f)\/f*(f**(1\/4)*f)\/f) assuming f is positive.\nAnswer: f**(2543\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*d - 834 + 1668 + 2742 = 0 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518, -181, 726, 2485, 5378, 9687?\nAnswer: 15694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 14*g - 12. What is the remainder when 58 is divided by v(16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l + 219. Let d(m) = -43*m. Calculate u(d(v)).\nAnswer: -172*v + 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-28) + 1\/(-2). What is the second biggest value in -1\/4, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 77*k**2 - 87*k**2 + 5 + 163*k**2.\nAnswer: -k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p + 10. Let x = 3 - -4. Does 16 divide c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.69999893 - -7.7. Round c to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 26. What is the remainder when 29 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/230078 and 101\/112.\nAnswer: 12884368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 25*m + 280. Let a be s(0). Suppose -2*c = 4*n - 1130, 0 = 5*n - 0*c - 5*c - 1375. Let h(u) = -n - u + a. Let o(g) = 14*g. What is h(o(j))?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*o - 7. Let r = o + -3. Let a(d) = -d + 10. Let b be a(12). Sort -5, b, r.\nAnswer: -5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 453751\nAnswer: 24\/453751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 44*m**2 - 5*m + 3. Let s(a) = 84*a**2 + 6*a - 50. Let y(v) = 83*v**2 + 9*v - 61. Let x(n) = 6*s(n) - 5*y(n). What is -7*o(i) + 4*x(i)?\nAnswer: 48*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4761.926mm in nanometers?\nAnswer: 4761926000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*p - 38, -7*p + 4 = -3*p. Suppose 4*w = -k + 22, 0*w + k = -w + r. Suppose 0*a + 6 = 3*a. Calculate the smallest common multiple of a and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, n: 8, o: 4, k: 2}. Give prob of picking 1 t and 2 k.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000043 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3280, 3275, 3270, 3265?\n\"Answer: -5*z + 3285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q + 300. What is a(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0243 from 197.817377.\nAnswer: 197.793077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*r + 23 + 2 = 0, -4*r = 3*w + 15. Is (w - -2) + 134\/2 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(300)*1 + -1 - 6*(sqrt(300) + 1))**2.\nAnswer: -37745 - 3500*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -730*i**2*y**4 + 2*i**2*y**3 + 1991*i**2*y**2 wrt y.\nAnswer: -17520*i**2*y + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.838 + -61.6. Let w = -21.5 - b. Let h = w - 0.15. What is h rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -389 - -391. Suppose -b = -13*q + 115. What is the remainder when (-127)\/(-3) - 2\/(-3) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 366?\nAnswer: 7686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (6 - 10 - -1) + (2 - -12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1192\/40 + (-2)\/(-10). Let p = 3007 - 24097\/8. Calculate the common denominator of (12\/(-10))\/((-7)\/h) and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206 times -5\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.461 rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14538161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 greater than 628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c**5 - 232*c**4 - 652*c**3 - 784*c**2 - 400*c - 64 = 0.\nAnswer: -4, -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.104533nm to meters.\nAnswer: 0.000000008104533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -5. Let o = v - -10. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1.3 (c) -31\/15 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 47 = 21*w - 25*w, -5*j + 89 = 18*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -543, -4, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3997704 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from dkkddyyyyfyfy.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23403110 divided by 4680622\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s**4 - 44*s**3 - 149 wrt s?\nAnswer: 8*s**3 - 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 55*z**2 + 231*z + 17. Calculate g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.98782 - -0.01218. Let o = 0.5 - 0.4. Which is the closest to o? (a) i (b) -6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21224 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*p + 146*p = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 2*j**2 - 5*j - 4. Let u be o(-3). Suppose -q - 19 = -4*s, -5*q = -10*s + 7*s + 27. Solve -t - 3*t = 2*n - 6, 0 = -s*n + u*t - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*q - 281 = -278, 0 = -5*w + 3*q - 37 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from mzrmmmrrrrrrmvrrr.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -839 - -54532\/65. Let w = 2\/13 - d. Let k = 7.7 - 8. What is the nearest to 5 in w, -1, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 4*k**2 + 3*k + 2. Let z be p(-3). Let i = -22 - -23. What is the nearest to i in 0.3, z, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -30*v**3 - v**2 + 2*v - 1. Determine d(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36611 and 217?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 - 4*v**2 + 2*v + 3. Let c be u(2). Let t = 29 - c. Suppose -13*x + t*x - 183 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/60 and -35\/582?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 o when three letters picked without replacement from {s: 2, o: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85034408 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -38. Suppose -87 = -3*i - 5*y + 32, -217 = -h*i + 5*y. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 9:27 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (1749 - 1760 - (10 + (3 - 1))).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10574896 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 13. Let r be (-2 - o)*(-6)\/(-4). Suppose -5*z - 25 = -a, -4*a + r*a = -z - 9. Solve 0 = -0*c + 5*c - a, -3*v - 9 = -3*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1\/3)*h**(3\/8)*h*h*h*(h**(-1))**(-5\/4) assuming h is positive.\nAnswer: h**(127\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*h + 3537 = 85*h. Let z = h - 263. Calculate the least common multiple of z and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t + 45 = 0. Suppose 14 = 6*w - 22. Let v be (-18)\/(-4)*w\/t. Solve -v*x = 2*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-36)\/(-16)*(-20)\/(-210).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9228549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 31430955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92\/3 - 30. Let j be (8\/(-44))\/2 + 19304\/836. Is r equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*i**3\/5 + 55*i**2\/2 + 199*i\/10 - 2.\nAnswer: (i + 1)*(i + 4)*(56*i - 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 7*b - 5. Suppose -r + 5 = 6. Let g(j) = j - 1. Determine r*c(t) + 6*g(t).\nAnswer: -t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {w: 11, s: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -10. What is the third derivative of 9*c**5 - 240*c**2 + 29*c**o + 204*c**2 wrt c?\nAnswer: 2280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from ddcdiobcdoc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*t + 56*t + 19*t + 16 - 12 to s*t + q and give s.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(8\/(-6)) + 3. Suppose -5*t - 15 = g, -5*u = -0*t - 3*t - 69. Let b be ((-15)\/u)\/((-3)\/36). Solve -15 = 5*r + a, -a - 2*a = b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 23 + 1. Let i(x) = -7*x**2 + 2*x. Let m(t) = 3*t**2 - t. Determine a*i(w) + 5*m(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 8) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72216 divided by 3\nAnswer: -24072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p - 1. Let z(r) = 7*r**2. What is i(z(t))?\nAnswer: 77*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 30*c - 24. Let k be x(19). Suppose 0*m - 4*g = -2*m + 88, -5*m + 3*g = -k. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 5*i = -10*m + 25, -4*m = 5*i - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001036192 rounded to 6 dps?\nAnswer: 0.001036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u + 1. Suppose -3*q + 4*o + 2 = -q, q - 4 = -o. Suppose 7 = -4*m - a + 3, -3*m + q*a - 3 = 0. What is b(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/11 + 37\/33. Let o = -1.3 - 5.7. Let d = o + 2. Which is the biggest value? (a) -2\/5 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 4*i**2 + 5*i + 4. Let n be (-1)\/4 - (-38)\/(-8). Let q be b(n). What is the second derivative of h**3 + q*h**3 - 6*h**3 - 2*h wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -9. Let h be (-30)\/(-4)*(-16)\/p. Let n = h - -7. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:31 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2538 is divided by 432.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119126 + 1 + -4 + 12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 8\/(72\/117).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(132) + -1*sqrt(132))\/sqrt(12) - (sqrt(11) + sqrt(33)\/sqrt(3)*-4)) + 2)**2.\nAnswer: 16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -5, -98 in decreasing order.\nAnswer: 1, -2, -5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935186 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgzzgggp. Give prob of picking 1 l and 1 p.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(2*i**2 + i**2 - 2*i**2)*(5 + 0 - 3)*(-5*i + 0*i + 3*i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1870.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-708)\/3658 - 9264\/186?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 18 - 18)*(6*y**4 - 8*y**4 - 5*y**4) - 3 + 3 + y**5.\nAnswer: 29*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 689 + -577. What is the remainder when c is divided by (-135)\/(-7) - (-6)\/(-21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*g*y**3 + 51*g + 26*y - 1 wrt y.\nAnswer: 150*g*y**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 279 = 135. What is the remainder when f is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.94828955543 - 3?\nAnswer: 76.94828955543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -1\/9 (c) -2\/7 (d) 45\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12828*a**3*c**3*w + 2*a**3*c*w - 11*a**3 - 2*a**2*c**2 - a**2 - 31*c**2*w wrt c.\nAnswer: -76968*a**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.01 - -0.01. Let a = 732 - 728. Let w be 1\/2*(-4 - -3). What is the nearest to w in a, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 10. Let d be o(0). Let m(b) = -b**3 + 3*b**2 + 4*b + 89. Let f be m(6). Solve 0 - d = -f*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.95 + -0.05. Let f be (1*(-3)\/(-12))\/(2 + -3). Which is the closest to f? (a) n (b) 1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39303315287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/12 - (-1)\/(-3). Suppose 2*v + y - 21 = 0. Let s be -1*1*(-2)\/v. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 306 - 182. Suppose -d = -5*s + 200, 3*s - 4*d + 4 = h. Calculate the remainder when 150 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 877*n + 6. Let y(j) = -7*j**2 - 2*j + 6. Let w(q) = 15*q**2 + 3*q - 13. Let r(h) = -2*w(h) - 5*y(h). Let o be r(1). Is x(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-16)*i*(i\/(i*i\/i**(-1)))\/i assuming i is positive.\nAnswer: i**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 3*z - 8. Let t be c(7). Suppose -2*o = -4*k + o + t, -o - 6 = -k. Suppose -m - 14 = -2*m - r, k*m = 5*r + 63. Is m a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/48 and -19\/196.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -127 - -63a88?\nAnswer: 63961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2067.932 + 2068. Let f = 5651.7 - 5651.6319888. Let d = i - f. What is d rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5 + 972*w**4 - 1951*w**3 - 2918*w**2 + 3900*w + 3896 = 0?\nAnswer: -974, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -18. Suppose 2*h + b*n - 17 = -2*n, 0 = 5*h + 3*n + 5. Suppose -1 = -2*x + 3. Sort h, x, 6 in ascending order.\nAnswer: h, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2301\/(-4) + (2 - (-84)\/(-48)). Let g be (14 - c\/(-40))*(-4)\/6. Solve g*i**3 + 0*i - 1\/4*i**5 + 0*i**2 + 0 + 0*i**4 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 566325, 566303, 566245, 566133, 565949, 565675?\n\"Answer: -3*k**3 - k + 566329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - -43) + -66 - -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -25\/96?\nAnswer: -25\/96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 381760 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(720) - 4*(sqrt(720) + 1) - sqrt(720)) + -2 + (4*(sqrt(720) + -1)**2 - (sqrt(720)*1)**2*-2)) + -1.\nAnswer: -720*sqrt(5) + 21589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 1705?\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.67792 years in centuries?\nAnswer: 0.8567792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39701607 and 558?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*o - 4575 + 207 = 0 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1240 and -93\/22?\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2593 = -0*d + d, 2*d = o + 5187. Suppose -986 = -4*f + d. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Suppose -z + 3*z = 5*z. Suppose z = 2*g + g - g. What is the third biggest value in g, 0.06, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55389 is divided by 133.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4\/2 - 47*j**3\/2 - 23*j**2 = 0 for j.\nAnswer: -46, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 4. Let n be z(7). Let k be -4 + 3 - n\/1. Solve -k*h + 2 = -6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-2\/5))\/z)**(-34)\/(z\/(z**(2\/13)*z)*z*(z\/(z\/(z**(-3)\/z)))\/z))**41 assuming z is positive.\nAnswer: z**(-25174\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46 - -6. Let a = 401.8 - 449. Let j = v + a. Round j to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**2 - 36*v**2 + 24*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -729 minus -297?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -40140949?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1558.1 - 1558. What is the nearest to -0.2 in u, 1\/8, -4, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932295791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -1486\/19. What is the biggest value in 2, u, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 10:54 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a - 0*a. Let p be 4 + (a - (-116)\/(-12)). What is the fourth smallest value in p, 5, 1, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10422 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201\/76 - 91\/38. Let l(t) be the second derivative of -d*t**2 + 1\/4*t**3 + 1\/40*t**5 + 0 + 26*t - 1\/8*t**4. Factor l(r).\nAnswer: (r - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 5:42 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinixnddlidildndiid. Give prob of picking 4 i.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.6. Let t = 7.2 + 0.8. Let q = t - 13. Which is the smallest value? (a) h (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 9. Let u be j(14). Let g(x) = x - u*x + x + 0*x. Let z(f) = -940*f - 140. Let r(n) = -20*n - 3. Let a(b) = 140*r(b) - 3*z(b). What is a(g(t))?\nAnswer: -60*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4353539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/21? (a) 0.7 (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*u**3 - 13110*u**2 - 26298*u - 13162.\nAnswer: 2*(u + 1)**2*(13*u - 6581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -140392.\nAnswer: 1\/35098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4993065 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4551861903.\nAnswer: 3, 1517287301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (-6 + 7 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 8*i + 8. Let z be c(-7). What is the units digit of (3 - (3 + 0)) + z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuu when three letters picked without replacement from nrtjjrnjnuuh.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396\/(-88)*(-2)\/(-3)*(-8)\/(-84).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*10264737.\nAnswer: -3079421.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 28. Let y be 4\/(-22) + (-1062)\/(-33). What is the remainder when r is divided by 4\/(-10) + y\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4768704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -75245 divided by -160?\nAnswer: 15049\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5477 + -16335. Let m = 21812.66915 + v. Let y = 0.67 - m. What is y rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.509 and -120633?\nAnswer: 120633.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 99?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 8. Is -7\/3 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3388.066 years to millennia.\nAnswer: 3.388066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15bb + 0?\nAnswer: 15bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p - 44*p + 388135 + 527885 = 0. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*l*u**4 - 18896*l*u + 5216*l + 241 wrt u.\nAnswer: 68*l*u**3 - 18896*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 612426.\nAnswer: 2, 3, 102071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2118300 and 14736.\nAnswer: 8473200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64610, 64376, 64142, 63908, 63674, 63440?\nAnswer: 63206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*w + 18*w - 7*w)*((-5*w + 2*w + 2*w)*(0 - 3 + 1) - 2*w + 0*w + w).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/106 - -3011\/742. Calculate the common denominator of 10\/11 and x.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 36.9. Let j = 4 + -2. Let o = 1.9 - j. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2048*r - 1487*r = 10789*r - 162410 - 778566 for r.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9218835 divided by 5?\nAnswer: -1843767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - 16388\/400)\/(2*(-54)\/(-192)).\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -3 - 0) + 2 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 136*p**2 + 4*p + 266. Determine y(-68).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/1159452 and -87\/1720?\nAnswer: 11594520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3cd3ad (base 14) to base 6.\nAnswer: 113124325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-1386)\/36 + -4). Let z(y) = -y**3 - y**2 - y + 1. Let s(o) = -68*o**3 - 85*o**2 - 85*o + 85. Determine q*z(g) + s(g).\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 396\/77 + 2\/(-14). Suppose 8 = -d*a + 7*a. Solve -4 = -4*q + a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**3 + 108 - 63 - 53 + 3*f**2.\nAnswer: -33*f**3 + 3*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/12 + 11*z**3\/6 + 3*z**2\/2 - 904*z. Give a(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1 + 3756*t**2 - 3*t + 3119*t**2 + 3427*t**2 - 2696*t**2. Let a be s(1). Suppose -5*o = -9*o + a. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + 0. Let v = 0.37 - -0.05. Let r = 0.42 - v. What is the third smallest value in 2, r, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -2.31?\nAnswer: -11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -17817278*d + 4 + 17780828*d - 2 - 2 in the form v + r*d and give r.\nAnswer: -36450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/5, 1\/22, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 17*k. Let g(d) be the first derivative of -198*d**3 + 5860. What is g(p(i))?\nAnswer: -171666*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -88, -5, -0.5?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 12*k - 10. Let o be g(-7). Suppose -o*x + 3*x - 387 = -2*a, 2*x = -4*a + 754. List the prime factors of a.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 113. Let c be w(16). Calculate the greatest common factor of c and 2669.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 < -10709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*f = -152, -4*p - 86 = -2*f - 288. Suppose -p*q + 9 = -47*q. Solve q*t = -0*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1864*0.44.\nAnswer: 0.082016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37821385 to the power of 1\/2, to the nearest integer?\nAnswer: 6150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((64 - -15) + 8).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d - 4*d = 13*d + 18*d - 14*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + 48*r**2 + r + 8. Let i(v) = v**3 + 16*v**2 + 3. What is 8*i(m) - 3*y(m)?\nAnswer: 2*m**3 - 16*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-2)\/(-3))\/(7\/(-42)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6039 divided by 99\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*c - 141*c - 13*c + 38*c to g*c + t and give g.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1074.9 + -1063.9. What is the third smallest value in f, 3\/19, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0895101 to three dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - d + 3. Let n(x) = x**2 + 5*x + 6. Let i be n(-4). What is the derivative of -3 + i + 4*y - d*y wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 13839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l - 15*l + 42*l**3 + 6*l + (-2 - l**2 + 2)*(0*l + 0*l - 2*l) to the form s*l + x*l**2 + w*l**3 + k and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -581*g**5 + 150*g**5 + 351 + 1012*g**5 + 800 + 204*g**5 - 2*g**2 wrt g.\nAnswer: 47100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -906, 22 in descending order.\nAnswer: 22, -1, -906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*u*u*u**(4\/11)\/u*(u**(-2\/7))**(25\/4))**(-14\/15) assuming u is positive.\nAnswer: u**(479\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 86\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-35)*(-35)\/21. Which is the nearest to 0.1? (a) -8 (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -15 + 17 - 10*y**2 - 98*y + 120*y. Let i be g(2). Let z(x) = -4*x - 2. What is z(i)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*f + 1537 = 0, g - 5*f - 1256 = -3*g. Let p = g + -200. Calculate the remainder when p is divided by (4\/(-5)*24\/16)\/(3\/(-70)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 25*p**2 - 145*p + 7. Determine g(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -192. Suppose o = -2*n + 22, 7*n - 4*n + 99 = 4*o. What is the highest common factor of q and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 57. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -11*s**8\/10080 - s**6\/720 - s**5\/30 - 10*s**2. Let u(b) be the third derivative of r(b). Let z(g) = -2*g**2. Give u(z(v)).\nAnswer: -88*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.16 + -7. Let n = 0.36 - d. What is the closest to 1 in -3, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142 + 269. Let d = o + -85. Suppose d = 2*u + 4*q, -u + 2*q + 21 = -0*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.49518932 to 1 decimal place.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-50) + 41\/5. Do x and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -8 - (-6 + 3). Let k be 20200006 + y - (-1 + 5). What is k rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 4*w**2 - 2*w - 3. Let t be y(5). Suppose -19*a + t*a + 364 = 0. Let d be (-3)\/12 + a\/16. Solve k = -s, d*k - s + 25 = s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + z + 0 - 13 = 0, -2*g - 2*z + 10 = 0. Let r(m) = 6 - 4*m - 12 + m**g + 0. Does 3 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**4 + 2*h**3 + 99*h**2 + 24*h + 6. Let l(y) = -3*y**4 + 2*y**3 + 99*y**2 + 16*y + 4. Let m(t) = 3*l(t) - 2*o(t). Factor m(j).\nAnswer: -j**2*(j - 11)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + -1d?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2432205*z**2 + 2*z + 7206719 wrt z?\nAnswer: -4864410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 7*s**2 - s + 7. Let q be c(7). Suppose 0 = -8*r - 93 - 51. Let l be (r\/(-80))\/(114\/152). Which is bigger: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -126 or -127?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*q - 5*v, 2*q - 5*v + 4*v - 37 = 0. Let w = -22 + 24. Solve 2*o + q = w*y, 2*o - y + 21 = 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -27*j - 71. Let c(o) = 10*o + 28. Let m(n) = -8*c(n) - 3*k(n). Calculate m(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 201.5849.\nAnswer: 201.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - h**2 + h**2 + (13 + 10 - 35)*(6*h**4 - 2*h**4 - h**4) - h**4 + 0*h**4 + 4*h**4 as t*h**3 + y*h**4 + p*h + l + o*h**2 and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(3 - 3 + 2) + 1 + 0 + 1 + (3 + 0 - 2)*(0 + 0 - 1) - 3 - 3 + 3)*(0 - h + 0)*(4 - 5 - 1)*(203*h + 7 - 7).\nAnswer: -2436*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/136 and -47\/2074.\nAnswer: 8296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 51.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 3*n - 22\/3.\nAnswer: (n - 11)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -897*l - 89. Let x be i(-7). Let z = x + 1137. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 + 0 + 2 - 3*i**2 + (-2*i + i - i)*(-i + 3*i - i).\nAnswer: -7*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -51*w**2 - 10*w + 59. Let j be k(6). Let u = j + 2598. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -380*c**2*m**4 - 2*c**2*m**3 + 66*c**2*m**2 + 2*c**2*m - 46*c**2 - 2*c*m**3 + 14*c*m**2 wrt m.\nAnswer: -9120*c**2*m - 12*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 1, r: 1, m: 1, s: 1}. What is prob of picking 1 y and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 109.01 centuries?\nAnswer: 1090.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5*u + 4*u)*(-6 - 26*u + 58*u + 5 + (5 - 1 - 3)*(-u + 5*u - 3*u) - 3*u + 0*u + 5*u - 4*u + 5*u - 3*u).\nAnswer: 66*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1402 - 1403. What is the closest to 2 in 3, x, -95, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6994 and 91.\nAnswer: 7085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53567 or 53673?\nAnswer: 53673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19442 <= 19442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*k**5 - 160*k?\nAnswer: 1840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4498*g = -4562*g + 5440. Calculate the remainder when 171 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486249863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587532449.\nAnswer: 7, 83933207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-4718)\/1645 - -3). Let u = x + 4839\/403. Is u greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4971722 is divided by 1657236.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-190)\/(-8))\/(855\/47196*-23)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + 2*t**2 + 0*t)*(-1 + 1 - t) - 29 + 85*t**3 - 2*t + 29)*(2*t + 0*t + t).\nAnswer: 249*t**4 - 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - 5. Let w = o + 34. Let q = w + -12.999908. What is q rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9238? (a) -2 (b) -1\/3 (c) -0.089 (d) 18 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 4 + 3 + sqrt(147) + -1 + sqrt(147))**2 - (2*((sqrt(147) + sqrt(147)*1)*-2 + sqrt(147) + 5 + -1*sqrt(147)))**2) + 2.\nAnswer: -8917 + 1148*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -9.68, 4\/57 in ascending order.\nAnswer: -9.68, 4\/57, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 5. Does 5 divide y(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.32 and 197?\nAnswer: 851.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 - 2*j**3 + 27*j**2\/2 + 1769*j. Determine p(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 91*n + 5 + 9 - 88*n.\nAnswer: 3*n + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54270, 108540, 162810, 217080, 271350, 325620?\nAnswer: 379890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 less than -154434791577?\nAnswer: -154434791588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -81, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412453 is divided by 342.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 26*p - 18*p = 13*p, -7*p = -7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(60)\/(sqrt(3) + -2*sqrt(3)))\/(-5*-1*sqrt(160) - sqrt(160)) + -2).\nAnswer: -12 - 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 532 - 535. Suppose 5*g - i + 182 = 0, 3*g - 4*g - 3*i = 30. Let h be 2\/(-6)*g\/(-20). Which is the nearest to h? (a) l (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, y: 4, x: 4, b: 4}. Give prob of sequence xyx.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiainnaiaaa. Give prob of sequence aan.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 207 and 12.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/1155 and 58\/2541.\nAnswer: 12705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -718\/115 + -22\/23. Find the common denominator of c and (-4 - (243\/(-35) + 3))*25.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31679419*x**4 - 1744*x + 13392 wrt x?\nAnswer: 380153028*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-4) - 5\/10. Suppose -f = z - 7. Factor 2\/3*d**4 + 4\/3*d**f + 0*d + 0 + 2\/3*d**2.\nAnswer: 2*d**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3)*(-10 - d + 11 + 10*d).\nAnswer: 36*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23294473 or -2\/7?\nAnswer: 23294473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.17 + -2.07. Let z = -2 - v. Let o = 0 - z. Is o at most -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4))**(4\/19)\/(p*p*p\/(p**1\/p)*p*p*p*p)**(-13))\/((p*p\/(p**(-6)\/p))\/p*p**6*p*p*p\/(p**3*p)*p*(p**(-7)\/p)\/p*p) assuming p is positive.\nAnswer: p**(1616\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + -0.28. Let x = 0.1 + t. Let p = -51\/265 - 2\/265. Which is the closest to 1? (a) p (b) 1\/22 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 211\/1680 and -181\/176190.\nAnswer: 1409520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -2723 (c) -9 (d) 0.1 (e) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2594, 2596, 2598, 2600, 2602, 2604?\n\"Answer: 2*l + 2592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-5)\/60*(-2316)\/(-2). Calculate the common denominator of (540\/1920)\/(37\/36 + -1) and 24\/(-60) + (u\/15 - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 + 86. Put -5, y, 4 in descending order.\nAnswer: y, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6878, -13757, -20636, -27515, -34394, -41273?\n\"Answer: -6879*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from {t: 1, m: 5, d: 5, o: 1, z: 4}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 6*z - 15. Suppose 3*d - 3 = z*k + 3, 2 = d + 3*k. Solve u - d = -6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t + 141 + 132 + 133 - 413.\nAnswer: 12*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -883 by -2096.\nAnswer: 883\/2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, y: 2, f: 1, s: 5, w: 1}. What is prob of sequence wfsx?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 2. Let t(g) = 1. Suppose 5*f + 15 = 5. Let w(z) = z**3 + 2*z - 1. Let d be w(0). What is d*a(l) + f*t(l)?\nAnswer: l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eetk when four letters picked without replacement from {g: 2, t: 9, e: 3, k: 4, p: 1}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 23072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12334037501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(4\/1)*-5 + (-38)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6020 by -6020.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/6 and 23\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -61*l + 1. Determine b(2).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 10)*(5 + 3 - 1)*(2*p - p + 0*p) + (-2*p + 19*p - 11*p)*(0 + 2 + 0) + 2 - 3 + 2 - 3*p.\nAnswer: 65*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 475 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 3, 0.07 in increasing order.\nAnswer: -62, 0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*n**2 + 311*c**3*n**3 - 5*c**2*n**3 - 31*n**3 wrt c.\nAnswer: 48*c*n**2 + 1866*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/12 + t**2 + 4*t - 14. What is j in s(j) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3260 + 1964 = -108*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9362)\/310 - 62\/(-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -20\/676783, -20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 49 - 303 = 0 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3104*q + 3105*q - 85 = -5*r + 6204*q, -5*r - 19 = -47*q for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 s when four letters picked without replacement from dsdddddsddddsddsddd?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(27))\/sqrt(9).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 164*x**2. Let y(i) be the third derivative of i**5\/10 - 4*i**2 + 151. Give p(y(g)).\nAnswer: 5904*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106560 and 666?\nAnswer: 106560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2571752 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2015 - 14?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (2 + -4))*(1 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 108*w**3 + 1074*w**2 - 1836*w + 867.\nAnswer: 3*(w - 17)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(34))\/(5*sqrt(14)\/sqrt(7)).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t + 3*y, 49*y - 44*y + 3 = 2*t. Which is the third biggest value? (a) t (b) -5 (c) -1\/10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*z = 5*b - 99, -2*b + 2*z = -68. Suppose -b = -k - 11. Suppose -p = l + 6, 0*p + 5*l = -p - k. What is the nearest to p in 1\/4, -2\/11, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 12, -5, -4944, -2\/9 in descending order.\nAnswer: 12, -2\/9, -5, -92, -4944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 2*b**2 - 3*b + 1. Let f(j) = -j**2 - 1. Let h(c) = 2*f(c) - y(c). What is the units digit of h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -10. Let g(q) = 5*q**2 + 2*q + 1. Let y be g(2). Suppose 4*c + i - y = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-28) - 2\/7. Let r be ((-6)\/8)\/((-9)\/(-4)). What is the nearest to r in t, -1\/7, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -595573.\nAnswer: -4\/595573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 206999.1 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4))\/x)\/(x**(10\/9)*x)*x**(-5\/2)*x\/(x**(-8\/9)*x*x))**22 assuming x is positive.\nAnswer: x**(-1727\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*-1*sqrt(468))\/(sqrt(24)\/(sqrt(6) + sqrt(24)\/sqrt(4)) + (4*1*sqrt(4) - sqrt(4))).\nAnswer: -30*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f. Let k be x(6). Let c = -179\/6 - k. Let o = 71\/3 - c. Find the common denominator of o and 56\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -225, -223, -221, -219?\n\"Answer: 2*h - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 91 - 65. Let n = i - 29.7. Let p = -3.69993 - n. What is p rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w - 28*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**3*m + 3875669*f**3 - 2377*f**2*m - 17221*f**2 wrt f.\nAnswer: 36*m + 23254014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yygzggyzyy. What is prob of picking 1 g and 2 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33094444927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l + 27. Let v be d(-12). Suppose -32 = -v*w - k, 5*w - 3*k = 67 + 5. Solve w = 2*n + n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 27, -2\/3 in decreasing order.\nAnswer: 27, 2\/13, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3\/5, 0.4, -122.17402, 0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*l - 51*l = 29. Solve 0*x + 4*x + 5*j = l, j = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-70))\/(1\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/7 - -1. Let w = 13.1 - 15. Let n = 1.1 - w. Which is the third smallest value? (a) n (b) r (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(((-3)\/8*-2)\/66). Let u = j + -93. Which is the closest to -2\/5? (a) -3\/8 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/30 - -3\/10. Let i = -407322 + 407325. Factor -z*p**2 - 1\/3*p**i - 1 + 5\/3*p.\nAnswer: -(p - 1)**2*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**5\/20 - v**4\/4 - 2*v**3\/3 - 5*v**2\/2 + 4*v. Is s(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:15 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11520967?\nAnswer: 11520967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 908 + -2279\/2. Let y = 232 + s. Factor -1 - 3\/2*v - y*v**2.\nAnswer: -(v + 1)*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 4*w**2 + 5*w + 3. Let g be r(-5). Let s(d) = 7*d**2 + d + 49. Let h(t) = 4*t**2 + t + 24. Let z(y) = g*s(y) - 5*h(y). Does 27 divide z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126616 is divided by 62260.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/57*(3 + (-555)\/(-10)) + -5\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.077? (a) -2 (b) -4 (c) 8\/7 (d) -0.06 (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s**5 - 648*s**4 - 3358*s**3 - 528*s**2 + 6152*s - 1632 = 0 for s.\nAnswer: -4, -2, 2\/7, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**3 + r**2. Let a be p(1). Let t be (-6)\/a + -3 + 2. Let q = 6 + -5.5. What is the closest to t in q, -2\/11, 2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 954188.\nAnswer: 2, 238547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 74886 = -22*t. Let m = -684 + t. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3*c - 2 + 2 - 2*c + (-3 - 2 + 7)*(-3*c - c + 3*c) - c + c - 2*c)*((1 - 1 + 2)*(4 - 4 + 2) - 9 + 8 + 42) in the form g*c + y and give g.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1150, -2670, -6812, -14890, -28218, -48110?\n\"Answer: -219*x**3 + 3*x**2 + 4*x - 938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -88223*b**4 + 2*b + 1034.\nAnswer: -1058676*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*2*5 - sqrt(65)) + sqrt(65) - sqrt(65)) + sqrt(65) - sqrt(65))\/(sqrt(5)*-2*5).\nAnswer: -9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s - 27. Let n be j(-13). Let z = 7 - 3. Suppose z*k - n = -k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 108?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/15355 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t. Suppose x + 3 - 1 = 0. Let a be q(x). Suppose -a*c + c - 5 = 0, 0 = 2*i - 3*c - 13. Which is greater: i or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/32*-10 + (-12)\/(-16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806168.3 kilograms to tonnes.\nAnswer: 806.1683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 24. Let p be (-7)\/(-4)*(-8)\/t. Let r be 20\/(-3) + (-11)\/(7 + 26) - -5. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440376000 divided by -236.\nAnswer: 1866000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.151375231 to four decimal places.\nAnswer: 0.1514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/((-2)\/(-24)). Suppose 2 + 2 = l. Let k(v) = 15*v - 6. Let m be k(l). What is the greatest common divisor of y and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(76)*1 - sqrt(76))*-5)\/sqrt(4)*2 + 5 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058361 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(8))**2 - (sqrt(17) + ((sqrt(170) + 2*sqrt(170))\/sqrt(10) - sqrt(17))).\nAnswer: -3*sqrt(17) + 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - 3*d**3 - d**3 - 3*d**3 - 2*d**3 - d**3 + (0*d + 2*d - 3*d)*(0*d**2 - 3*d**2 + 2*d**2) + 2*d**3 + 5*d**3 + 0*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + q**2 - q - 2. Calculate v(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t + 2*k, -18 = -5*t - 4*k. Suppose 0*a + 5*a = -4*v + 116, 0 = -t*a - v + 47. Let m = 4 + 0. Solve m*h - a = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 2106660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 210 + 43 + 55 + 70 + 3*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - (4 - 8) - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 5*h**2 + 2*h + 7. Determine y(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 12) to base 14\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664877 is divided by 227?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 2. Let w be ((-8)\/10)\/((-10)\/25). Suppose -5 = -t - w. Suppose -3*x = -2*l - 7, 0 = -t*l - 3*x + 5*x - 8. What is k(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - 4) + 4)\/((-8)\/(-40)). Let k(s) = -s**3 - 6*s**2 + 2*s - 6. Give k(u).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 11:12 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 9*z + 13. Determine u(-12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p - 3 + 3)*(-p + 4*p - p) + 3 - 3 - 2*p**2 - 1 - p**2 + 1)*(-p + 4*p - p).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 785327192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 4 - 4 + (2*b - 2*b - b)*(-2*b - 3*b + 4*b) + (-1 + 4 - 4)*(-b**2 + 0*b**2 + 3*b**2) as f*b + q*b**2 + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 7*y**2 + 6*y - 5. Calculate h(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*y - 3568 - 5806 - 7144 = 24468 for y.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*n**5 + 5*n**3 - 58*n**2 - 2238827*n wrt n?\nAnswer: -1660*n**3 + 30*n - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4, 0*c + c - 4*t = 13. Is -3 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 8 = p, -3*d - 2*p = 428 - 426 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*f + 813*f - 30*q + 13 = 41, 0 = f + 2*q - 7 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.812533 centimeters to micrometers.\nAnswer: 38125.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -104384 (base 12) to base 2\nAnswer: -111110100100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w. Let p(g) = 13875*g**2. Give p(a(x)).\nAnswer: 13875*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 6*p + 3. Let l be q(-6). Suppose -l = 8*o - 5*o. Let h be (-2)\/o + (0\/3)\/4. Solve 0 = h*k + 2*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, q: 2, h: 2, d: 9, u: 3}. What is prob of picking 1 u, 1 y, and 1 m?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t + 3*t, -5*f + 5*t = 15. Sort f, 0.07, 2\/17, -0.2.\nAnswer: f, -0.2, 0.07, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -284330 times -147\nAnswer: 41796510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -4.048, -0.5, 33.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1914 = 3766469*m - 3766535*m for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3530712*b*i**3 + 9817584*i**3 with respect to b.\nAnswer: -3530712*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, -2\/11, 19, 10\/3, -73?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0873? (a) 4\/3 (b) -4 (c) -40 (d) 3\/46 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - g + ((1 - 1 - 2)*(-g + 0*g + 2*g) + 3*g - 3*g - 2*g + 5*g - 6*g - g)*(-6 + 7 + 2) + 3*g - 1 + 1)*(5 + 0 + 1).\nAnswer: -96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 13. Let s be j\/(-5) + 2\/5. Suppose k - 7 = -2*m, 3*m + 10*k - 8*k - 11 = 0. Solve -m*t - 25 = -5*u, t + 3*u = -s*u + 25 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6083722\/4755 - 6397\/5. Calculate the common denominator of -47\/54 and z.\nAnswer: 17118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/17 in -10, 0.01, 4, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**6\/15 + 5*v**4\/12 - 3*v. What is the third derivative of t(f) wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 9 = c - 12*t - 5, -2*c + 60*t = -198 + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(12)\/((sqrt(196) - (sqrt(196) + -2*sqrt(196))) + sqrt(196) - sqrt(4)) - (sqrt(525)*-2)\/sqrt(7)))**2*-3.\nAnswer: -363609\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 2*t + 1. Let v = -59 - -82. Let h = -25 + v. List the prime factors of f(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwbk when four letters picked without replacement from qxkqxbxwx.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 2 + 5 + sqrt(432) + 2 + -3.\nAnswer: 6 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = 3*n - n, 0 = 2*n + 4*x - 12. Suppose 5*f - 5 - 8 = -n*w, w = 2*f + 2. Suppose 2*d - w = -0*d. Is 1 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/60 + w**4\/8 - 441*w**2. Let z(c) = -35*c**2. Determine z(n(b)).\nAnswer: -35*b**4 - 210*b**3 - 315*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 885.9 + -886. Let g(k) = -k**3 - 10*k**2 + 2. Let c be g(-10). What is the nearest to -2 in u, 1\/8, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4 - 1302*o**3 + 594033*o**2 + 159560100*o - 45055507500 = 0.\nAnswer: -475, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83933 is divided by 1526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 163 + 25 = 0. Let x = -35 - -40. Suppose -t = 4*t - f - 208, -2*t + n = x*f. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 2*v. Let s be j(-2). Suppose -s*a - x = -123, -4*a - 4*x - x + 135 = 0. What is the highest common divisor of 45 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -57, -62, -73, -90, -113, -142, -177?\n\"Answer: -3*g**2 + 4*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5076 and 83\/10152.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 57 = -3*c, 5*c + 71 + 39 = 2*i. Calculate the highest common factor of i and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2\/15 - (-4664)\/(-5280)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 + 16.2\nAnswer: 16.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 577727068 to the nearest integer?\nAnswer: 24036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600 and 8040?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3)*i)\/i)**(24\/7)*(i*i*i*(i\/(i*i**(-1\/3)))\/i)**(9\/10) assuming i is positive.\nAnswer: i**(67\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 292200, 584377, 876554, 1168731, 1460908, 1753085?\n\"Answer: 292177*f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -30, -92, -186, -312, -470, -660?\n\"Answer: -16*z**2 + 18*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*g - 4231 = -53*g + 1819 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9.8 (b) 3\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207 + -199. Which is smaller: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 3. Suppose 0 = -r*a + 3 + 1, -5*i = 4*a - 3154. Let p be (-203)\/i + 2\/9. Is p <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/47, -4, -3, -1 in descending order.\nAnswer: -11\/47, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 1, 4*f - l - 399 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 270501 and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/13)\/n**19)\/(n**(-6))**26)**27 assuming n is positive.\nAnswer: n**(48006\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(2\/29)))**35 assuming i is positive.\nAnswer: i**(-70\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 3, 1, 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (18\/3*((-2097)\/(-108) - 19))\/((-5)\/124)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2. Let a(k) = 14650*k. Calculate d(a(x)).\nAnswer: 214622500*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from cny.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 3*f - 180. What is the third derivative of 16*d**2 + 12*d**6 + 18*d**5 - 88*d + 84*d - f*d**6 wrt d?\nAnswer: -360*d**3 + 1080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 61. Let l be (-52)\/78 - 1\/3*i. Solve 0 = 4*b - 5*f + l, 5*b + 0*f + 2*f + 18 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 812554, 812562, 812570?\n\"Answer: 8*v + 812546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1073 + 622. Suppose -2*y - y = s - 349, -p = -5*s - 5*y. Let l = 7117 + s. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(200)*2) + sqrt(2) + -6*sqrt(18).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77069?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80.5 in 11\/5, 0.3, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -743, -771, -797, -821, -843, -863?\nAnswer: -881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**5\/9 + 19066*r**4\/3 + 409208686*r**3\/9 + 1226234630*r**2\/3 + 363283600*r = 0.\nAnswer: -14295, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -67566d6 - -17?\nAnswer: -67566bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (4\/10)\/(4\/(-20)). Suppose z = -5*k + t + 113, 2*k - 33 = -t + 8. Suppose 3*x = 174 - 48. Calculate the remainder when x is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1639.5 + 1643. Which is the closest to r? (a) 0.1 (b) -5\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -1\/3*q**3 - 3 + 21*q**2 + 17*q + 1\/4*q**4. What is the first derivative of g(k) wrt k?\nAnswer: 6*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -18 (b) -0.045 (c) 14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9995027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*w - 271*w + 462*w + 131*w.\nAnswer: 586*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -259, -203, 481, 2111, 5005, 9481, 15857, 24451?\nAnswer: 35581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*-2*9\/(-27).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -17, -6, 9, 28?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/196692 and 103\/27084.\nAnswer: 11998212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5 + 0*v + v + 3*v. Let q(m) = 5*m - 6. Let c be (1 - 2)*2*(-1 + 4). Let t be (1 + -4)\/(c\/14). Determine t*w(i) - 6*q(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391027 to the power of 1\/2, to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 16*v**2 + 13*v + 9. Calculate g(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 11:31 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/220640 and 13\/55440.\nAnswer: 21843360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 11*a**2 + 21*a - 2. Let d be x(-9). Suppose 195 = -7*n - 57. Let j = d - n. Are 7 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 14*f = -23*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6301*w**2 + 2144 + 2157 - 33*w - 6381 + 2145 wrt w.\nAnswer: 12602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8*v**3 + v**2 + v. Let p be u(-1). Suppose -3*b + 825 = -p*b. What is the common denominator of 3 + 100\/b*5 and -82\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1766941 kilograms to milligrams.\nAnswer: 176694.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f**5 + 0*f**3 - f**3 + 18*f**5 + (-f**4 - 3 + 3)*(3*f - 4*f - f).\nAnswer: 10*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88777 is divided by 12652.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 22959*s - 3 - 23069*s + 47513*s.\nAnswer: 1485*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*s + 27*s - 158*s to r*s + v and give r.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 97?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1+-8.181374\nAnswer: -9.181374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2 - -1) + -16 + 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19747, 20092, 21025, 22840, 25831, 30292?\n\"Answer: 49*n**3 + 2*n + 19696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1260)\/100)\/(112\/160)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + w + 21. Let c = -6 - -6. Let p be i(c). Let a = p - 6. Solve h - a = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -235*i**4*o - 3*i**4 - 16*i**3*o - 91*i**3 + 18*i**2*o + 589*i**2 - i*o - 55*i + 9*o wrt i.\nAnswer: -5640*i*o - 72*i - 96*o - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(((-14)\/(-77))\/(-1)) - 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 337405.7 millennia?\nAnswer: 4048868400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/18)\/(-5))\/(19\/152)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2, 73, -1\/3, -0.246, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917966 is divided by 354?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17242 + -1?\nAnswer: -17243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 201*i**2 - 1260*i.\nAnswer: -3*i*(i - 60)*(i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 9. Let x be i(-6). Let v(h) = -6*h - 4. Suppose 0 = 5*f - 8 - 72. Calculate the least common multiple of v(x) and f.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83160 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5262900?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 + 155. Suppose -j*r - 3270 = -34*r. List the prime factors of r.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242676710 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -10306\nAnswer: 1\/10306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 10) + -54 - -48\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -464596580 divided by -10?\nAnswer: 46459658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Let u be g\/2*(0 + 2). Suppose 0 = -5*a + u*a + 8. Let m(i) = i - 3. Determine m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, v: 1}. Give prob of sequence av.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7722867.\nAnswer: 3, 2574289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 3*v**2 + 3*v. Let g = 4 - 2. Let a be b(g). Let f = 97 - 37. What is the highest common factor of f and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1236*f**5 - 24717*f**4 + 80280*f**3 + 432795*f**2 + 327354*f + 792 = 0 for f.\nAnswer: -2, -1, -1\/412, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1673415, -3346884, -5020351, -6693816, -8367279?\n\"Answer: a**2 - 1673472*a + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 68 = -5*b, -3*b + 12 + 24 = -3*r. Suppose b*s + 25584 = 39*s. List the prime factors of s.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6506 bigger than -10954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1 + 1 - 3 + 90*u - 100*u - 1. What is i(10)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, -72, -2, -5, -1, -3 in decreasing order.\nAnswer: 77, -1, -2, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 + 48*y**3 + 271*y**2 - 318*y.\nAnswer: -y*(y - 53)*(y - 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-10))\/((217\/70)\/(-31)*2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2345814 - 109749.\nAnswer: -2455563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2\/5*z**2 + 2\/5*z - 2\/5 - 2\/5*z**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20886?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 2 - -2) + (-4 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 1\/2*t**2 + 0*t**3 + t + 7\/12*t**4 + 0. Calculate h(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -52463463027?\nAnswer: -52463463028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {i: 2, w: 1, x: 3, u: 3, m: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -276.5 - -277. What is the third smallest value in -2, -0.9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkvvkkkvkkk. Give prob of picking 2 k.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 123 - 117. Calculate the remainder when 35 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*(-7 + -1). Let g be 9\/12 + 2\/s. Let c be g\/(-4) - 2\/(-40). Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 17. Let w(b) = -b + 6. Let p(i) = 4*t(i) + 11*w(i). Let g be p(5). List the prime factors of 7\/(2\/6*g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 12*m - 1. Let r(d) be the second derivative of -d**3\/6 - 236*d. Calculate -4*r(y) - z(y).\nAnswer: -8*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/11)\/f*f**(4\/5)*f*(f**(-2\/5)\/f*f)**(-7))**(-1\/67) assuming f is positive.\nAnswer: f**(-203\/3685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/29)*j*j)\/j*(j\/j**(2\/65))\/j assuming j is positive.\nAnswer: j**(1957\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1923?\nAnswer: 7692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a = 0. Suppose 4*z - 6 - 10 = a. Calculate the greatest common factor of 28 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 39, -19, -135, -315, -565, -891?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1992, 1994, 1996, 1998?\n\"Answer: 2*l + 1990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -900 divided by 5?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -0.5, -1, -2\/9, 2\/5, -9\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583426257.\nAnswer: 7, 17, 13306103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234148 (base 9) to base 16.\nAnswer: -22616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/9, 0.3, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 145483356*a**3*f**5 - a**3*f + 106*a**3 - 4*a**2*f - 3*a*f - 6*f - 10 wrt f?\nAnswer: 2909667120*a**3*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25073 + 1?\nAnswer: -25072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 17 - 2*l**2 + l**4 + l**3 + l**3 - 4*l + 2*l to r*l**3 + y*l**4 + s*l**2 + w*l + c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (2 + 23) - -7) + (-4 - (-73 + 4))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -0.2, -0.4, 161\/17, -9, 0.2, -2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222 + -2222?\nAnswer: -12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 + 2*q**3 + 2*q**3 + (-3 + 3*q**2 + 3)*(233*q + 143*q - 60*q + 4*q) to l*q**3 + g*q**2 + z*q + r and give l.\nAnswer: 961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Suppose -5*d + 0*d - 25 = 0, 0 = -l + d + p. Calculate the remainder when (10 - (l + 1)) + 1 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 210 (c) -2 (d) 2\/61 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260440 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-648)\/66)\/9)\/(14\/7).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 + 6*p - 7. Let o(d) = 3*d**2 - 11*d + 13. Calculate -11*k(q) - 6*o(q).\nAnswer: 4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 18*j**3 + 183*j**2 - 2*j - 318. Give h(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/3 + 3160*i + 7280128\/3 = 0. What is i?\nAnswer: -3776, -964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*q - 3*a, 0 = -5*q - a + 5*a - 2. Let f(w) = 9*w**2. Determine f(q).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 10*l**2 - 3*l + 24. What is the units digit of v(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2915*j**2 - 15*j + 12*j - 3*j + 7*j + (j - 3*j + 0*j)*(j + 5*j - 5*j) in the form d + k*j**2 + r*j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = a - 1, -a + 2*l + 1 = -0*l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/11)\/h)**(-19)\/(h**(-1\/6)\/(h\/h**(-8))))**(-38) assuming h is positive.\nAnswer: h**(-30989\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9492*q**2 - 9521*q**2 + 19022*q**2.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 345610 and 1710.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*g + 12. Let x = -13 - -8. What is the closest to g in 2\/5, -2, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 1326.\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21247 is divided by 411.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2321*1757.42\nAnswer: -4078971.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-6)\/o)\/o)\/(o\/(o**4\/o))*o**(1\/4)*o*((o**(-1)\/o*o)\/o)\/o*o*o*o)\/((o**1)**(-43))**(-44) assuming o is positive.\nAnswer: o**(-7587\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/(-44) - (-10)\/(-55)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 2*r. Let m be -2 + r - (-1 - -2). Let k = m + 6. Solve -2 = -j - k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*z = 175*z + 163*z. Let p be (91\/26)\/((-1)\/(-2)). Solve -4*c + 2*j - 14 = z, p = 2*c + j + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.5 and 0.06.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14532905?\nAnswer: 5, 2906581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(4)*1)\/sqrt(11).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 22 = 20*l, 31145*s = 31150*s - 3*l - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**8\/56 - 2*k**4\/3 + 8*k + 8. Let s(r) be the first derivative of l(r). Find the third derivative of s(x) wrt x.\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40357 - 19821 + 2*a**3 - 20536.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27845 + -4080?\nAnswer: -33035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4034 + 4118 + 4*l + 4*l + 71*l**2 - 11*l**5 + 14*l**5 wrt l.\nAnswer: 60*l**3 + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-16) + 0)*-1*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106869449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -10*s + 11. Let q be b(1). Suppose -4*o + 11 = g + q, 7 = 2*g - 5*o. Solve -4 = -7*t + g*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 726.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4\/(-42) - (-471)\/1413)*7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - -1)\/((-10)\/(-5)). Let l be (o - 1) + (-1 - -4). Let m = -16 - -23. Is l > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 26 = 43. Suppose 5*b - 98 = -p. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 0*o)*((o + 3*o - 5*o)*(-190*o**2 + 116*o**2 - 366*o**2) + 0*o**2 + 0*o**2 - 5*o**3).\nAnswer: -870*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**2 - 6*d**2)*(2 - 2*d - 2)*(-12*d + 11*d + 1 - 30*d).\nAnswer: -248*d**4 + 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 - 3940 = -t. Let g be -1 + (t\/9)\/(-2). Let v = g + 252. Calculate the common denominator of v and -53\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105145 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/34641 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 30*j**3 - 101.\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(504) + sqrt(504))\/(sqrt(128)\/sqrt(4)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -68, -21, -1, 87 in ascending order.\nAnswer: -68, -21, -1, 87, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 38*b - 188. Give a(-23).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (13 - 13) - -20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m = 399, 16*m + 5*m = -7*z + 16*m - 70 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {h: 1, r: 1, k: 2, e: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**(3\/2)*(f**(-8)\/f)\/(f*f**(-1\/6))*(f**13*f**13)**(-28) assuming f is positive.\nAnswer: f**(-17717\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -8 + 2*k**3 + 0*k + 3\/4*k**4 + 0*k**2. What is the third derivative of s(z) wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-3*3\/(-6))\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -15246?\nAnswer: -15250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (0 - 7) - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2729644.\nAnswer: 2, 682411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) + (-254)\/(-10). Suppose j + 1 = c. Suppose -c*v - 240000 = -24*v. What is v rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -6. Suppose 0*o = -o. Let j = r + o. Solve h - j = -3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 = 380*c - 369*c. Calculate the greatest common divisor of 4 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -105*t - 477. What is the units digit of y(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13 - 275*p + 285*p - 23 - 25. Let k be y(4). Let d be k\/(-10)*10 + 15. Calculate the highest common factor of d and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.2 + -33. Let j = -0.2 + p. Let x = 6 - 5. Which is the closest to x? (a) j (b) 1\/9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 8, -44, -150, -328, -596?\nAnswer: -972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/56*50\/3875*31\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111639, -446541, -1004699, -1786113, -2790783, -4018709, -5469891?\nAnswer: -7144329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 9*a**2 + a - 9. Let q be j(9). List the prime factors of 1958\/22*(q - 2)\/(-1).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*r + u + 20, 0 = -3*r - 2*u + 17. Let s(p) = 2*p - 12. What is the least common multiple of r and s(11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -3*v + 8, 0 = v - 2*z - 1. Suppose -3*y + 4 = -v. Find the third derivative of -8*k**5 + y*k**2 + 2*k**2 + 11*k**5 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -778 + 781. Calculate the lowest common multiple of 17 and j.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*j + 8. Suppose -x = -0*x - j. Suppose -7*b + 456 = 120. What is the highest common divisor of x and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 2*u - 3. Let k be c(0). Let t be (6 + 3 + k)\/2. Let g(o) be the second derivative of -o**4\/12 + o**3\/3 + o**2 + 3*o. What is g(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 5*r - 4. Let c be b(6). Suppose -l + 276 = c*l. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/24*144\/(-24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 2\/5, 26, 12\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 9*q**2 - 10*q + 26. Let z be a(8). Solve -n + z = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -216 or -217?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 s, and 1 w when three letters picked without replacement from {k: 1, s: 1, n: 2, c: 1, z: 2, w: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25144 and 2506?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 5:36 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 184731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 - k**2 - 8*k**2 - 5*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5793 + 3914. Let i = 1881 + z. Suppose 5*p = 4*p - 5. Is p at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 737241 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 3:32 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 33, 47, 61?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*(-1 + 14*z + 4 - 21*z).\nAnswer: 28*z - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + -1.9. Which is bigger: -2\/3 or l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -15*j**3 - 2*j**2 + 7*j + 11. Let w be s(-5). Let n = w + -811. Is n a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -1 (b) 107 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -22*d + 4*d + 19*d. Let w(n) = 20*n. Determine w(m(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 162 = 2*n. Suppose -3*y = -5*m - 32, 116*y - 4*m = 119*y - 23. Calculate the smallest common multiple of y and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(30) - (sqrt(3000) - sqrt(30))*-2)\/sqrt(6))**2.\nAnswer: 16245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*h - 5690 + 2584 + 28738 = 0 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12*b + 384. Let n be h(32). Let l(o) = o**2 + 1. Let a be l(-3). Suppose 5*g = -n*g + a. Solve -g - 18 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/84150 and -113\/68850.\nAnswer: 757350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.526 - -38.774. Let x = i + -41. Let k = x + 2.6. Round k to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlfqlululzzfzzu. Give prob of picking 1 z and 1 f.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13320031 - -10?\nAnswer: -13320021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30188 is divided by 193.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.669901 kilometers to nanometers.\nAnswer: 3669901000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 13*f\/3 + 22\/3.\nAnswer: (f - 11)*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + d + 117 + 19, -2*m - 5*d - 128 = 0. What are the prime factors of 18\/2*(-3703)\/m?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.599 + -0.001. Let q = -44110.38813 + 44081.79. Let z = l - q. What is z rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164667990?\nAnswer: 2, 3, 5, 601, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let f(m) = -4*m**2 - 3 + 6 - 3. Determine -f(l) + 5*y(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/16 + 1\/(-2). Suppose n = u - 9 + 1. Let c(y) = -y**3 + 9*y**2 - 7*y - 8. Determine c(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -1 + (-12)\/(-2 - -6). Which is the third biggest value? (a) 0.159 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 959463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c. Let u(y) = -14*y - 10. Let i(t) = -3*d(t) + u(t). What are the prime factors of i(-9)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 6*f**2 + 4*f. Let t be l(-3). Suppose -4*g = 4*v - 3*v - 15, 3*g - 35 = 4*v. Solve 0 = -3*j + t, -2 - 13 = g*s - 2*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 105\/(-63)*12\/(-8) - -5. Let a(n) be the third derivative of 0*n + 0 - 34*n**2 + 3\/4*n**5 + 5\/24*n**4 - 1\/24*n**6 - y*n**3. Find j, given that a(j) = 0.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -2210844.\nAnswer: 132650.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 5) in base 6?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - w - 8 = 0, -2*z + 10 = -w + 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 22*j - 500. Calculate a(36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kqokkooqqow?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(3\/(-27)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179444 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1213?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/5 (b) -9367764 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*n + 534, 0 = 14*i - 16*i - 4*n - 364. Is -171 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1568.17789 to 1 dp.\nAnswer: -1568.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 488, 1, -25015?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000)*-1 + sqrt(2000) + sqrt(2000))\/((-4*sqrt(100) - sqrt(100)) + sqrt(4)).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = 3*s - u, 5*s = -2*u + 37. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 + (-765)\/(-60))*47*-796 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39762665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1979232 (base 10) to base 11.\nAnswer: 1132032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*h + 4. Suppose -h*b - 11 = -0*a - a, -4*a - 12 = -2*b. Suppose 15 = -v - 2*v. Which is greater: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + -3 - 3 - (83 - 85)) + 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, e: 6, w: 2, t: 1}. Give prob of sequence tbew.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(19) + -2 + 2.\nAnswer: -3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*h + 9, 70*h + 2*z = 72*h - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 o when two letters picked without replacement from gogtlllfohooo.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 12*s + 447. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 626 - 436. Suppose 11*s = s + p. Suppose -20*n + 55 = -s*n. What is the highest common factor of 33 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 14. Solve n + 4*l + 2 = g, -l = 2*n + 3 + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 + 106. Suppose -134*u + 1978 = -88*u. Is f smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2 + 2*f - 2. Let w be -6*3\/(-9) + 2*1. Let v be (6\/w)\/(1\/4). Let o(g) = -3*g + 16. Let c be o(v). Calculate z(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*u - y + 6, -y - 6 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odkkdodkkdj. Give prob of sequence jd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-112)\/(-98) - 104\/(-7) and 68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(231))\/sqrt(7))\/(sqrt(11) + sqrt(77)\/(sqrt(28)\/sqrt(4))) + -2 + -5.\nAnswer: -7 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 12502.7 and 193973.\nAnswer: 206475.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 59*j**2\/2 + 1299*j\/4 + 11\/4 = 0.\nAnswer: -11, -1\/118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 10, k + 36*u - 33*u - 1 = 0. Is (-15635)\/(-10) + k*(-4)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0 + 2*f + 1 + 2 - 5*f**2 + 526*f**3 - 525*f**3. Let m be n(0). Find l, given that -26\/11*l - 4\/11 + 24\/11*l**m - 34\/11*l**2 = 0.\nAnswer: -1\/3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t - t + 0 - 1 + 6*t. Is z(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 498208729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = 4*r. Let u = r - -8. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - o - 2*o + (-2 + 2 - 2*o)*(2 - 6 + 2) - 54 - 111*o + 1 + 108*o to h*o + w and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/75)\/((-1)\/5 - 0). Suppose -j*c = -0*c. Suppose -2*u - 8 = 0, 6*l - 5*l + u - 39 = c. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3444 and 4242?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j**2*s + 28026*j**2 - 406*j*s**2 + 2*s**2 + s wrt s.\nAnswer: 7*j**2 - 812*j*s + 4*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7202686 take away 0.45?\nAnswer: -7202686.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5 + p + 2*p**3 - 2*p**2 - p**4 + 1\/5*p**5 = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 90, 195, 330, 489?\n\"Answer: -t**3 + 24*t**2 + 4*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, 2023, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.1212 to two dps.\nAnswer: -10.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31460 and 14560?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 m when four letters picked without replacement from ddhdzzzdhfzmfmhdh?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3*f + 3 - 14 - 13 = 0, 0 = 6*h + f - 3*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1329 + -1290. What is the remainder when 73 is divided by i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/18 - 16*s**3\/27 + 16*s**2\/9 + 3. Factor f(k).\nAnswer: 2*k*(k - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-3 + 1 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 3*c + 5. Let n be o(-4). Suppose r - n = 3*w, r + 0*w = -w - 7. Is -2 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6687, 26740, 60163, 106956?\n\"Answer: 6685*q**2 - 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.57613ug?\nAnswer: 0.00000000057613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6699, -6698, -6697, -6696, -6695?\nAnswer: -6694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from aqqaqaarr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**4\/12 + d**3\/6 - d**2 + 57*d. Let h be 2\/(-3) - (-17)\/3. What are the prime factors of g(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -33) + (14 - (-10630)\/(-590) - -11).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-32)\/(-24))\/((-1)\/(-15)). Let x = a + -18. Suppose x*s + 2*s = 0. Solve 5*q + s*q = 4*c - 27, c - 6 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -85. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2170*b - 310. Let i(g) = -2173*g + 311. Let t(f) = 5*i(f) + 4*u(f). Let y be t(-19). What is y rounded to the nearest 1000?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 26*u**3 + 8*u**2 + 8*u + 29. Let j(t) = 9*t**3 + 3*t**2 + 3*t + 10. What is 8*j(f) - 3*x(f)?\nAnswer: -6*f**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7216 and 24299.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1d0d (base 16) to base 11\nAnswer: 5651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43188\/13 + 5184497\/1560. Find the common denominator of r and -113\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4 = -3*d. Let b be -1 + 2 + -7 + d. Let t = 0 - b. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 60 = b. Let h(k) be the third derivative of 0*k**4 - 1\/360*k**6 + 8*k**2 + 0*k**3 + 0*k + 0 + 1\/630*k**7 + 0*k**b. Solve h(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**6\/120 + m**3\/3 + 5*m**2\/2 + 5*m. Let o(j) be the first derivative of r(j). What is the first derivative of o(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 140170.067 - 140229. Let b = -0.067 + f. Let r = 54 + b. Put 3, r, 4 in increasing order.\nAnswer: r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011021 (base 3) in base 8?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y + 5*m, -2*y + 5*y - 3*m + 3 = 0. Suppose 0*v + d + 11 = v, -4*v + 5*d + 48 = y. Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, d: 1, f: 2, j: 1, l: 3}. Give prob of sequence dlfa.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aauaau. Give prob of picking 2 u and 2 a.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 2:24 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2844 + 1893 = -342*m + 633 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183600 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 0.4. Which is the third biggest value? (a) -1 (b) 3\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76682792?\nAnswer: 2, 41, 389, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 7*l - 2. Let s be 21\/5 + 6\/(-30). Let v be b(s). Suppose v = -d + 10*d. Solve -7 = -u + 4*q, -d*q - 6 + 19 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -10. Suppose 0 = 2*p - 4*v + b, -5*p + 5*v + 0*v - 10 = 0. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11.9329, -1, 5, 4 in descending order.\nAnswer: 5, 4, -1, -11.9329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70)\/9 + 2\/(-9). Let x = v - -3. Let o = 7 - x. What is the remainder when 21 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 34, 10\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17517565?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 0.0954?\nAnswer: 0.2954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 270119.\nAnswer: 41\/270119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 52 = -m - 19, -6*m = -3*o + 33. Sort 4, o, 0, 2, -6.\nAnswer: -6, 0, 2, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 18*f + 33 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1618.1493ms to minutes.\nAnswer: 0.026969155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3168 and 112662?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*x - 12837 - 13345 = -425 + 2297 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5*-730.\nAnswer: -2555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-82)\/(-328))\/((-1)\/3))\/(2\/24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**3\/3 - 4*t**2 - 9*t + 13. Let n be 18\/(-4)*4\/3. Give y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s - 5. Let p be 1\/(-3)*522*8\/(-16). Suppose 0 = 4*t + 119 - p. Determine c(t).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 438\/511 - (-3404)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/1017 and 25\/15351.\nAnswer: 5203989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-321 + 64 - 89 - 337 - 298)*(-x**4 + 0*x**4 + 3*x**4) as h*x**2 + z*x**3 + p*x + g + n*x**4 and give n.\nAnswer: -1962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -80490*d + 2. Let t(a) = -a. Calculate j(t(b)).\nAnswer: 80490*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 3. Let v be l(7). Let z = -16 - v. What is the smallest common multiple of 9 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (7 - 2) - (-174 + 84)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1599 - 1572. Calculate the least common multiple of u and -10*((-32)\/10 + 2).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**4 - 2260*r**3 + 77904*r**2 - 921024*r + 3656448 = 0.\nAnswer: 12, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.2, -0.14, -4 in ascending order.\nAnswer: -7, -4, -0.2, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t - 66*t = -55458. What is t rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739726087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -14. What is the remainder when 46 is divided by (i\/3)\/((-3)\/54)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*l**3 - 89*l**3 - 55*l**3 + (2*l**2 - 2*l**2 - 5*l + 2*l**2)*(0*l - 4*l + 3*l) in the form p*l**2 + o + c*l**3 + b*l and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84310 and 8360.\nAnswer: 70483160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + 3*u. Let o(x) = -3*x**2 - 3*x. Let y(j) = -j**3 + 7*j**2 - 4. Let q be y(7). Give q*t(r) - 5*o(r).\nAnswer: -r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41026441 and 13677.\nAnswer: 4559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12991.88 rounded to the nearest 100?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 16. Suppose -4*l - 4*j = -72, -4*j + 10 = z. What is the highest common divisor of l and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-8))\/(2\/(-8)). Calculate the remainder when 31 is divided by (l\/(-9) + 1)*-12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -33, 5, 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 274926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25877?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1264, 10359, 35088, 83269, 162720, 281259?\n\"Answer: 1303*r**3 - r**2 - 23*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -11)*(-6 + 3). Suppose -p = -2*r + 27. Let s = r - 18. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/10 + 6\/(-15). Solve -x - l = -2*h, 4*h - 17 = -x - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (53 - 5) + -19 - 14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 223998, -7, -4, 3 in descending order.\nAnswer: 223998, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134\/1675 - ((264\/121 - 2) + 21753\/(-275)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**2 + 121*u - 505. Give q(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -119845.8559 to the nearest one hundred.\nAnswer: -119800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 less than or equal to -167\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -208703*o - 3130553. What is j(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 73 - 87 + 11)*(3*x**3 - 3*x**3 - 3*x**3).\nAnswer: 363*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5\/2 + 292095*k**4\/2 - 146037*k**3 - 876276*k**2 = 0. What is k?\nAnswer: -2, 0, 3, 97364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3 - 152664*n**2 + 458006*n - 305340 = 0. What is n?\nAnswer: -76335, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*k + 2)*(-1 + 1 - k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3124\/9 + -306. Let m = 41 - v. Find the common denominator of ((-215)\/15)\/(20\/18*3) and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 17*a**2 - 15*a - 30. Let b be l(-3). Suppose c + 5*o - 124 = b, 608 = 2*c + 4*o. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**4\/4 - 90*f**3 - 4050*f**2 - 81000*f - 607500.\nAnswer: -3*(f + 30)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 470\/3, -4\/7, -4, 3.27, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -20.6, 0, 3228 in descending order.\nAnswer: 3228, 0, -2\/7, -20.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87419974 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 10 + 18. Let g(u) = -3*u - 2. Let p(c) = -3*c - 2. Calculate s*p(k) - 3*g(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 265925 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - ((-44)\/10 + 2). Let m be (-7)\/(-42) - (148\/(-120) - -1). Let s = -2.42 - -3.42. What is the nearest to n in -2, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30519.\nAnswer: 3, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - -63.5.\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17c - 2?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.19 + 0.19. Let x = q + 13. Let j(d) = d**3 + 6*d**2 + d + 4. Let u be j(-6). Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 115\/9, 1, 690, -1 in decreasing order.\nAnswer: 690, 115\/9, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(24) + 2*sqrt(1536))*-2)\/(-6*sqrt(1200)*-2 - (((sqrt(1200) - sqrt(1200)*-2)*-4 - sqrt(1200)) + sqrt(1200))).\nAnswer: 17*sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 85?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/389 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 3*h**2 + 4*h**3 - 9*h**3 - 11*h**3 to z*h + o*h**3 + y*h**2 + r and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38899618\/135 - 288147. Let h = n - -2\/135. Let f = 1\/49 - -47\/98. Which is the second smallest value? (a) f (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7356 - -7362. Which is the closest to -0.1? (a) 5 (b) d (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 9528 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -397, 2293, -143, 2 in decreasing order.\nAnswer: 2293, 2, -143, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -1415.\nAnswer: 707.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -11)*(-6)\/(-8). Let g = -4540 - -4693. Calculate the greatest common divisor of i and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w = -62*w + 3*u + 139999, -2*u + 12158 = 4*w. What is the smallest common multiple of 85 and w?\nAnswer: 15215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(3*3\/(-18)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 63. Let b be (1 + (-6)\/4)*-36. What is the highest common divisor of b and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of -3*c**2 + 2*c - 376. Let v(j) = j. Let q be v(-4). Does 9 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116660 (base 9) to base 7\nAnswer: 412416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 10097 + d + 9755 in the form y*d + c and give c.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -2)*1*1*9\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -410.3794 + -2.9416. Let g = 414 + r. What is g rounded to two dps?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/8 - 36\/48?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965371527?\nAnswer: 3, 31, 41, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25413 and 921960.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -8, 40, -3 in descending order.\nAnswer: 40, 2, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelleeeeeelelceeelel. What is prob of sequence ce?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 2. Let q(d) = -2*d + 7. Let w(t) = 11*n(t) + 4*q(t). Let m(o) = -6*o - 11. Let i(s) = -3*m(s) - 5*w(s). Suppose -8 = 6*b - 2*b. Give i(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 618072 and 1854216.\nAnswer: 1854216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 * 0.5\nAnswer: -0.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28956 less than 28953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5348722 divided by 302.\nAnswer: -17711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -706a24 (base 13) to base 8\nAnswer: -11761301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 267806353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 577584053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1054261.\nAnswer: -210852.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11808547494502 and -4.\nAnswer: 11808547494498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*30\/(-18) + (60 - 64).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -56220 divided by -18740\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/69047 and -19\/62770.\nAnswer: 690470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/14 and -11\/358?\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*m - 67*m - 4*o - 54253, m - 10847 = -o. Does 102 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*x + 1 = x, q = x - 9. Let z be (q\/(-6))\/(9\/135). Suppose c - z = 5. Calculate the remainder when 42 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwoowwpppwwoopwo. What is prob of sequence poo?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.32. Suppose 61*q - 58*q = 9. Suppose 2 - 11 = 3*t + q*s, -8*t = 3*s + 4. Sort t, 0.4, y in decreasing order.\nAnswer: t, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2363\/(-170) + 12 + 2.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -21987*u + 219874. Determine f(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s - 1. Let n(d) = -10*d**3 - 4*d**2 + 3*d + 3. Let z(b) = n(b) + 3*r(b). What is the third derivative of z(y) wrt y?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 2. Let j(u) = 1 + 4*u**2 + 5 + u**2 - 6*u - u**2. Let z be j(2). Which is the second smallest value? (a) t (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 3879.9 * 1.32\nAnswer: 5121.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4 - 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69092 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 9*m**2 - 5*m - 8. Let f be j(7). What is the highest common factor of f and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + -1 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**4\/10 + 2*l**3\/3 - 6*l**2\/5 + 174. Factor x(i).\nAnswer: 2*i*(i - 1)*(i + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*m = 2, -4*m - 7 + 3 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b8d18 - -9?\nAnswer: -b8d0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 9. Let j be r(-9). Suppose j = -6*z + 8*z - 42. Suppose -z = 3*k - 3. Let o(s) = s + 3. What is o(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -7*k + 7\/6*k**3 + 0*k**2 + 5. Let c(a) be the first derivative of p(a). Let g(t) = -2*t**2. Determine g(c(j)).\nAnswer: -98*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3366 and -7\/1683?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 388*l + 84*l + 193*l - 81*l - 12848 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from yprpprypxxuzxxzrpypr.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11707378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/18)\/(-10*10\/(-600)). Which is the third biggest value? (a) -4 (b) -8\/17 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q - 10*q + 28*q + 2 + 1.\nAnswer: 63*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 800958*n**2. Let m(b) = -b**2. Determine m(l(d)).\nAnswer: -641533717764*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 0. Suppose -v + 4*m = -13, 0 = -5*v - 4*m - 7. What is the closest to v in 2\/9, -2, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence doiu when four letters picked without replacement from {p: 1, o: 1, i: 1, u: 3, d: 6}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -76671 divided by 10953\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 725233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 2*a - 3. Let g(r) = -r**2 - 3*r + 3. Let f(y) = 4*y + 16 - 93 - 145. Let b be f(56). Determine b*g(s) + 3*z(s).\nAnswer: s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/19, 0, -5, 0.291, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g - 9*g + 11*g**2 + 3 + g**3 - 12*g. Suppose 0 = -11*z + 7*z - 48. What are the prime factors of n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3462 divided by -12?\nAnswer: -577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 260 = -5*x - 3*q, -2*x + 4*q = -140. Which is smaller: 64 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esgp when four letters picked without replacement from {g: 2, p: 3, s: 4, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*q + 3*q - 1 + 2 + 10*q as p*q + j and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 4*r + 2*r)*(0 + 6 - 3)*(-32 - 29 - 79).\nAnswer: 420*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 8:39 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.46 - -14.96. Let w = r - 14. Which is the third biggest value? (a) -1 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -12, -2, -1, 0.1, -5, -645?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112102102010 + -121?\nAnswer: 112102101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-5)\/(-190)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 2. Let p(k) be the first derivative of 8*k**2 - 10*k + 449. Let q(y) = y**3 + 4*y**2 + 4*y + 1. Let i be q(-3). Give i*p(s) - 11*m(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6048174 millilitres in litres?\nAnswer: 0.0006048174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 23568*g + 4124386. Give p(-175).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1689 + 1691. Let n(q) be the first derivative of 10*q**k + 16\/3*q**3 + 8*q - 1 + q**4. Factor n(o).\nAnswer: 4*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(2\/35))\/o)\/o**(-2\/3)*(o**2)**10)**(-48) assuming o is positive.\nAnswer: o**(-34816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1329?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 457 - -34. Is a 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 75406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 1 + 0 - 138*o + 21 to s*o + d and give s.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 34*q + 23 = 3*m, 0 = 4*q - 3*m + 38. Let i(u) = -8*u**3 - 15*u**2. Let s(v) = 12*v**3 + 22*v**2. What is q*s(o) - 7*i(o)?\nAnswer: -4*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 210 = -19*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/2 + -1 - 4. Let m be -1 + (v - (-3)\/1). Suppose m*d + 2*d - 2 = 0. Is d less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-40))\/(2\/30). Suppose 3*r + 13 = 1. Let y = r - j. Solve f + y = -2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6) + 15 + -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -833, -2814, -6669, -13022, -22497, -35718?\nAnswer: -53309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, -4, -23, -42, -61, -80?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 606997372 and -0.17717.\nAnswer: 606997371.82283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 4. Let a = w + 3. Let s = a - 1. Calculate the remainder when 9 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 187 and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1004 - 449. Suppose 4*a - 1691 = -g. Suppose 6*s - a = 2*s. What is the remainder when s is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + p - 148 = 0, p = -l - p - 23. Let x = -4 - l. What is the common denominator of -4 - -4 - x\/(-16) and 37\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0 + t**3 - 3*t**2 + 0*t + 1\/24*t**4. Suppose 4*h + 4 = 2*z, 2*z - h - 1 = 6*z. What is n(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1055003 - -4?\nAnswer: 1055007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 205029 or 205027?\nAnswer: 205027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/252 + ((-105)\/(-315) - 53\/24)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 8:58 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2484\/5 - 2487\/5*i - 3\/5*i**2.\nAnswer: -3*(i + 1)*(i + 828)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + r + 14 = 0, -110*p + 115*p - 17 = r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -59. Let a(y) = -y**2 - 25*y + 12. Let w be a(-25). Let g(n) = -k*n - w*n + 16*n. Let x(d) = -8*d. What is x(g(c))?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2 + 199389*t - 598194 = 0. What is t?\nAnswer: -66466, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.12946?\nAnswer: 0.038838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -224\nAnswer: -44.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 14376.\nAnswer: -4312.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1377) + -1)*6 + sqrt(1377) + (((sqrt(1377) - 2*sqrt(1377)) + sqrt(1377))*1)**2).\nAnswer: -36 + 378*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 496. Suppose 492*u = k*u - 14. Solve 2*m + 17 = 5*r, -r + 3*m - u = -0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -17 + -187 - (1 + 3). Let v = 210 + y. Solve -8\/11*s + 0 - 2\/11*s**3 + 8\/11*s**v = 0 for s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 8. Suppose -u = -2*d + 5. What is the third derivative of -s**6 - 2*s**6 + d*s**6 + 6*s**2 wrt s?\nAnswer: 360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(11)*-6 - ((sqrt(66)\/sqrt(6))**2 + -4).\nAnswer: -18*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 99 = 4*v, -6*v - 53*t = -2*v + 48*t - 107*t + 114 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:28 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 75*a**2 + 15*a + 597. Let x(h) = -2*h**2 + 3. Let t(w) = -q(w) - 15*x(w). Differentiate t(d) with respect to d.\nAnswer: -90*d - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 4 (c) 19\/836869 (d) -1\/2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*y**4 + 2*y**4 + 2*y**4)*(0*y + y - 4*y) + y**5 + 4*y**5 - 2*y**5)*((0 + 1 + 1)*(-1 + 1 + 2) - 2 + 3 - 2 + 2 + 1 - 4 + (-2 + 0 - 2)*(2 - 5 + 2)).\nAnswer: 54*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/15 + o**4\/6 - 5*o**3\/6 + 17*o**2. Let g be i(5). Let h = g + 87. Calculate the greatest common divisor of h and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n - 1. Let i(b) = 49*b - 5. Calculate -i(m) + 4*k(m).\nAnswer: -57*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((8\/28)\/(83\/(15106\/(-780)))).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/118688376 and 2\/521871.\nAnswer: 830818632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 574651199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 8*g**2 - 8*g + 6. What is l(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 5 (c) -1340\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 363696 and 648?\nAnswer: 9819792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-20))\/(5\/((-375)\/(-90)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, -1965.\nAnswer: -1965, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 3*f + 3*c, -5*f + 6*c = 2*c - 252. Let i(x) = -5*x + 1. Let b be i(1). What is the common denominator of f and 123\/(-5)*b\/(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d**3 - 15 - 1128384*d + 1128384*d - 10.\nAnswer: -29*d**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 159418*x - 1913166. Calculate c(12).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -41*w**3 + 9*w**2 - 57*w + 24. Let m(j) = 62*j**3 - 8*j**2 + 56*j - 25. Let p(g) = 2*m(g) + 3*u(g). Give p(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42234 (base 6) to base 11.\nAnswer: 4321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 minus 21360464.11?\nAnswer: -21360520.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 40*w**2. Let r(b) = 11*b. What is r(g(s))?\nAnswer: 440*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32050897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afcfffofccoffcfc. What is prob of sequence ca?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13*(-2)\/10 + (-142)\/(-71). Suppose -3*z = -14 - 1. Sort z, -3\/8, -0.1, o in descending order.\nAnswer: z, -0.1, -3\/8, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4934\/10879 + 1\/989. Let g = 6 + -10. Which is the second smallest value? (a) g (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - 25 = -8*f, -10 = -5*f - 5*y. Let s(u) = u**2 - u - 2. Let d be s(-2). Suppose -f*z - d*z = -2367. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2355779 minus 2?\nAnswer: -0.7644221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 6*l + 71. Suppose 0 = -2*y - 16*y - 252. What is the hundreds digit of p(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 474264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043406.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - u + 29 = 4*u, 5*i + 113 = -u. Calculate the common denominator of -31\/30 and (-1*(-146)\/i)\/(3\/(-1)).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1776280*q**3 + 96435047*q**2.\nAnswer: -10657680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - q + 359 = -6*q, -2*q = -4*r + 1436. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 24. Let y(v) = 2*v + 11. Let o(i) = 3*u(i) - 5*y(i). What is o(23)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 4*a**2 + 3*a**2 - a + 15 - 11. Let v(d) = -d**2 - 1. Let u be 6\/9 + 2\/6. Let h = -3 + 8. Calculate h*v(j) + u*t(j).\nAnswer: j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(7\/8)\/l)\/l*l*l\/(l**(-5\/3)*l)*l)\/((l*l**1)\/l**(13\/2)))**(6\/23) assuming l is positive.\nAnswer: l**(193\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 354*z**2 - 5408*z.\nAnswer: -z*(z + 16)*(z + 338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1012999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 4*w**3 - 14*w**2 + 14*w**2 to the form t*w**3 + r*w**2 + s + v*w and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Let c = -9\/40 + 29\/40. Solve 0 + 0*z - 1\/2*z**4 + f*z**3 + c*z**2 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**3 + 2*n**4 - 28*n**2 + 0*n**4 + 25*n**2 to a*n**4 + l*n**2 + d*n + s*n**3 + g and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 666 + -662. Let i(t) = -t + 16. Let j be i(0). Let f be 2\/(-3) + j\/6. Sort u, f, -4 in decreasing order.\nAnswer: u, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**2*t**3 + 2*h**2 - 2673*h*t**3 + 2992*t**2 wrt t.\nAnswer: -48*h**2 - 16038*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-4.7.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 196*o**3 - 2 + 186*o**3 - 573*o**3 + 199*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231616?\nAnswer: 2, 7, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 631822 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 98368915 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 0.1, 0.04?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/71 + 1618\/497. Let x = 80\/21 - l. Factor -x*y**3 + 0*y**2 + 2\/3*y + 0.\nAnswer: -2*y*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 5.8. Let j = -8 - -5. Which is the second biggest value? (a) j (b) v (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*q + 9 = 0, 30 = -5*c + c - 2*q. Let z be (-3)\/c*6 + 27. Let s = 62 - z. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*2\/(-2) + (-45)\/(-20). Put 5, j, -3 in decreasing order.\nAnswer: 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9456\/25 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -12, -5*l - 1790*y - 9 = -894*y - 892*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r**2 - 4*r - 1. Let h be a(3). Let l(w) = 19*w + 126. Let g be l(-6). Suppose 9*z = 3*z + g. Solve -17 = h*x - 2*x - 2*m, -z*m = x + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(14\/6 + -2). Let q be 44\/6 + s\/(-3). Suppose 0 = -d + q + 8. What is the remainder when 29 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -46*b - 1. Let n(z) = 240*z**2. Calculate o(n(s)).\nAnswer: -11040*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877438?\nAnswer: 2, 17, 131, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - 4*r + 9*r)*(r**2 + r**2 - r**2) + (-2*r**3 + 4*r**3 - 3*r**3)*(-4 - 1 + 2).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9999\/(-105545))\/(27\/(-30)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 11*s. Let m be a(-11). Suppose -t + 4*n - 14 = -6*t, 5*n + 1 = 3*t. Solve 4*o - 16 = 4*k, o + o + t*k = m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25197 is divided by 115.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*o + s, -5*s + 0*s = -5*o + 60. What is the greatest common factor of o and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -4*p + 48 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 421 + -417. Factor 14*u**2 + 3*u**4 - u**k - 30*u**2 + 4*u**3.\nAnswer: 2*u**2*(u - 2)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/28 of a week?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 7*c + 944 - 858, 50 = 5*c + 452*a - 447*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.14 - -0.14. Let c = 6.99991 + a. Round c to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 27 = 2*f. Suppose 0 = 5*r + 5*y - 75, 6*y - 15 = -r + 2*y. Calculate the remainder when f is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.317 - 15.683. Which is the third biggest value? (a) 0 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 66141.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppupppuppupupuupp. What is prob of picking 4 p?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-86) + 90\/(-9)*4\/48.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + t = -8, -16 = 6*v - 7001*t + 7003*t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2872811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h. Let v be (4 - 7)*(-2)\/3. Let a(s) = -3 + 3 + v*s - 3*s. What is a(u(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011021 (base 3) to base 2.\nAnswer: 11000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, -6, -54, -128?\n\"Answer: -13*j**2 + 17*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23210506 (base 7) to base 11.\nAnswer: -11709a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -21*y**2\/2 - 1. Let u = -117 - -121. Let z(m) = -13*m + u*m + 11*m. What is z(n(p))?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2617, -6379, 22.\nAnswer: -6379, -2617, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**3 - 2*w**3 + 1 - 4*w**4 + 0*w**3)*(w + w - 3*w).\nAnswer: 4*w**5 - 3*w**4 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -0.13 (c) -3 (d) 3 (e) 0.8 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*r + 0 + 0)*(-2*r**2 - 3*r**2 + 3*r**2) - 514*r**3 + 831*r**3 - 701*r**3 to y + h*r**3 + b*r**2 + j*r and give h.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h**2 + 3398*h**3 + 49*h**2.\nAnswer: 3398*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2021537 - -27?\nAnswer: 2021566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 2*x - 4579 - 6579 = 0, 5*m = 3*x + 4630. Is 928 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20030 - -10020?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 3456*t**2 + 302922*t - 1942380.\nAnswer: 2*(t - 6)*(t + 99)*(t + 1635)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3783 - 2402. Let w(n) = -n - 1381 + v. Give w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (400\/64)\/(-2 - (-23)\/12). Let r be (4\/20)\/((-3)\/t). Solve 3*a - 2*a = -r*i - 7, -4 = 2*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25864 and 1342.\nAnswer: 284504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 5:19 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506785, 506786, 506787, 506788?\nAnswer: 506789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5880 + 5935. Solve r*x = 32*x + 46 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14032, 13918, 13804, 13690, 13576?\n\"Answer: -114*h + 14146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -603 - -598. Put -7, -2, 6, w in increasing order.\nAnswer: -7, w, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21201112222 (base 3) to base 8.\nAnswer: -450744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 779 + 51 = 0. Let u = 356 + c. What are the prime factors of u?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4461 and 73\/103056.\nAnswer: 153244272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 414611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 57. Solve 5*f = -0*f - o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 730236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + z + 1. Let v(u) = -9*u**3 + 26*u**2 - 2*u - 21. Let t(y) = 8*y**3 - 22*y**2 + 3*y + 18. Let p(s) = -5*t(s) - 4*v(s). Give -6*c(x) - p(x).\nAnswer: 4*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**2 - 5*u + 1. Let c be y(4). Suppose 3*l + c + 4 = 0. Is (-2319)\/l + (-12)\/(-66) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:21 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(1\/32))**(-1\/8)\/((y**(2\/13)\/y)\/(y*y**(-6)))**30 assuming y is positive.\nAnswer: y**(-207347\/1664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 246.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2400 and 264000?\nAnswer: 264000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 276, 317, 362, 411?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:15 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -9*o**3 + o. Let p be s(1). Let c = p - -4. Let y(r) = -r**3 - 8*r**2 - r - 8. Let u be y(-8). Sort 5, u, c in increasing order.\nAnswer: c, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.4 - -5.400058. Round a to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/2983 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + ((sqrt(605) + 1*sqrt(605))**2 + 0 - sqrt(605)) + (sqrt(40) + 5*sqrt(40)*3)\/(sqrt(200)*-1).\nAnswer: -71*sqrt(5)\/5 + 2422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 10 = 2. Let h be a\/(18\/3)*(-3 - -3). Suppose h = 10*p - 4*p - 708. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/42 in 2\/11, 0, -4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 252431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + (-2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -31. Let p(h) = -h**3 + h**2 + h. Let n(q) = q + 1. Let m(t) = -4*n(t) + 3*p(t). Let c be m(y). What is c rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/32 and 113\/120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(88)\/sqrt(4))\/sqrt(11) + sqrt(18) + -2*sqrt(18) + (sqrt(72)\/sqrt(3))\/sqrt(12) + -3)**2.\nAnswer: -11 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100012 + 0?\nAnswer: -100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.031 (b) 2\/7 (c) -1 (d) -1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -31177897?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 5:09 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 22*c - 9. Let f be k(10). Let g = 140 + f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4 - 71. Suppose 3*p - 3 = x. Calculate the least common multiple of p and 4\/10 + 26\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 295. Let w(v) = 8*v - 765. Let k(h) = -h + 85. Let m(z) = -36*k(z) - 4*w(z). Calculate q(m(g)).\nAnswer: -4*g - 295","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 48. Let i = -2 - -4. Let h(c) = -i*c**2 + 16*c**2 - 6*c - 5 + r - 3. Let d(n) = 5*n**2 - 2*n - 3. Calculate 11*d(z) - 4*h(z).\nAnswer: -z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.4 - -43. Which is the nearest to 0? (a) j (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*v + 9154 + 15274. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516390 divided by 2459.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 7*p - 2. Let u = -10 - -15. Let x(z) = -z**2 - 6*z - 1. Let l(v) = u*r(v) - 6*x(v). Does 21 divide l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.31 - 1.3. Let p = 0.29 + r. Suppose -2*q + 6 = 0, -4*i + 0*q = -5*q + 19. What is the nearest to i in p, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - t**2 + t**2 + (3*t + 2*t**2 - 2*t**2 - 6*t**2)*(-4 + 5 + 0)*(4 - 3 - 9).\nAnswer: 45*t**2 - 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 3:42 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -76. Suppose -4*t + 1 = p. What is the closest to -0.2 in 5, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/4 - 95*y**3\/9 - 373*y**2\/6 + 45*y + 1876. Let j(m) = 0. What is m?\nAnswer: -27, -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f + 79. Is q(7) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k - 1. Let c(f) be the second derivative of -3*f**3\/2 - 2*f**2 - 2*f - 7. Calculate -2*c(q) + 7*o(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/372 and -74\/93?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/3, -2\/167.\nAnswer: -1\/3, -0.1, -2\/167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*v + 355*v + 2*v**2 - 7*v**2 + 2*v**2 + 116*v.\nAnswer: -3*v**2 + 326*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - 0.32. What is w rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11310881 divided by -2\nAnswer: -11310881\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(40)\/sqrt(4))*-1)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*w + 7, 13*w - 14*w = -2*z + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*c + 6407, -98*r = c - 101*r - 3193. List the prime factors of c.\nAnswer: 2, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1922879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i - 20. Let n be t(9). Suppose -5*h = -n*h + 28. Let v = h - 12. Solve -v = -p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -733481 - 1\nAnswer: -733482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**7\/315 - 47*m**6\/180 - 5*m**5\/9 + 8*m**4\/3 - 10*m**2 - 82. Let d(p) = 0. Calculate p.\nAnswer: -2, 0, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 27. Suppose -2 = 3*n - 3*w + f, -2*n + 16 = 2*w. Solve 2*u - n - 7 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 4. Let m = -8987 - -8991. Let p(u) = 3*u - 11. Give m*p(r) + 11*g(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, s: 1, z: 2, d: 1, y: 1}. Give prob of picking 1 l, 1 d, and 1 z.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3675311, -7350627, -11025943, -14701259, -18376575?\nAnswer: -22051891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 7. Let z = 205\/7 + m. Which is smaller: z or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2216176, -4432353, -6648530, -8864707, -11080884, -13297061?\n\"Answer: -2216177*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32048 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 20. What is the units digit of c(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9421 - -13208. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 12 = 15*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydxu when four letters picked without replacement from {d: 1, n: 1, x: 1, w: 1, u: 1, y: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -31. Let z be 0 + (-3)\/(-2*(-1)\/(-2)). What is the remainder when (-2)\/2*(-74)\/(6\/z) is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17988\/5 - 6\/(-15). Let a be (-250)\/(m\/1200 + -3). What is a rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((77\/(-55))\/(-7)*135)\/(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:08 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27 - 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 1845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 + 126. Suppose 0 = -t*u + 15*u - 21. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 904.638096 and 9.\nAnswer: 913.638096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 16919*a**2 - 14*a**4 - 2*a - 16919*a**2 as d*a**2 + h*a**4 + g*a + s + u*a**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + -1. Let m be ((-5)\/10)\/(3\/f). Solve 8 = -5*r - 2*y, -4*r - y + m = -2*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5739567381 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.284593 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 33*u + 108 = 0. Calculate u.\nAnswer: -12, -9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 3. Suppose 38 + 38 = i*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -59*l**3\/6 - 15*l**2 - 68*l + 1. What is the derivative of u(s) wrt s?\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125515 is divided by 41830?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j + 5 - 38. Find the second derivative of -j*z - 38*z**3 + 17*z**3 + 0*z - 2*z wrt z.\nAnswer: -126*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-144))\/(6\/27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10975 and 169224403?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 829410227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) 101 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzce when four letters picked without replacement from qezvzzzozccveec.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13307419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let q = 3.5 + -4. Which is the smallest value? (a) -4\/3 (b) q (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 - 28*u**3 - 32*u**2 + 64*u = 0. What is u?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:31 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*a - 4 = 0, 31*o = -22*o + 4*a + 196 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6980102473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194.5 + -194. What is the smallest value in -14, -0.5, t, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1. Let z(d) = d**3 - 151*d**2 - 459*d - 456. Let n be z(154). Let t(f) = f**3 - 9. Give n*b(a) - t(a).\nAnswer: -a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - (103 + -42 + -173).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -7*s**5\/40 - 19*s**4\/12 + 41*s**3\/6 - 38*s. Let q(g) be the second derivative of b(g). Differentiate q(o) wrt o.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - -16)*(-265)\/(-5). Let x = -475 + u. Solve x*l + 45 = -7*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = -7*c. Let w be 8 + (-8 - (-8 + c + 6)). Solve 11*o - 8*o - w = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 1. Let w(j) = -j. Let x be w(-4). Let c(n) = 2*n - 9. Let t be c(6). Let p(s) = -4 + s + t + s. Give x*p(q) + 3*i(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n - 5. Let p(l) = l + 1. Let x(t) = -t. Let h be x(5). Let g(q) = h*p(q) - c(q). Let b(i) = -i. Determine b(g(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3669360015347\/1139 + 3221562497. Let i = r + -11125\/67. Let v = i - -457. Do v and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (-3*((-5*-1*sqrt(363) - sqrt(363)) + sqrt(363) + 5 + 1))**2*-4.\nAnswer: -327997 - 23760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8643?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8. Suppose g = -5*f + 9*f + 4792. Is f\/(-8) + 12\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1064407749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91732 and 6308.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 18*p - 9. Solve -p*t = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*1 + sqrt(208))\/sqrt(4) + (sqrt(624)*1 + sqrt(624))\/sqrt(12))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4338 = -6*s + 6000. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 27*s + 5. Let h = -27 + 54. Let w = h + -20. Is z(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14620 is divided by 86?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801768037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/3 + -29\/3. Which is the smallest value? (a) -3 (b) 0.4 (c) w (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/11 + 34*z**2\/11 - 120*z\/11 = 0. Calculate z.\nAnswer: 0, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7584 rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*m + 54 + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 49 and -0.38915675.\nAnswer: 48.61084325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6177 + 29440. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)\/(((a*a\/(a**(-3)\/a))\/a*a)\/a)*a**6\/a**(-2\/19)*((a*a**(1\/7))\/a**(-1\/14))**(-5\/3) assuming a is positive.\nAnswer: a**(-3925\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 j, and 1 n when four letters picked without replacement from vjvyyjniynyiyjyvn?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -264 and -265 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -68.3992792572 and 5?\nAnswer: 73.3992792572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1352 and 72.\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - 0. Let w be c + 8 + (-2 - 0). What is the third derivative of q**6 + 6*q**4 - 6*q**w + q**2 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1114148046 divided by -22\nAnswer: 50643093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -189, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) + 74\/(-72). Suppose -2*c = -4 + 2. Let v be (-3 - 0) + c - -1. Is v > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*k + 27, 3*y + 4*k = -k + 151. Suppose -160 = -y*c + 38*c. What is the greatest common factor of 30 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/32 and 9\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -11. Let t be 0 - 187 - (p + -14). Let f be (-2)\/((-4)\/t*-4). Calculate the highest common divisor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0677 + -100123573?\nAnswer: -100123573.0677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 789562, 789559, 789554, 789547?\n\"Answer: -t**2 + 789563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + -2 + ((-192)\/28 - 1\/7). Which is greater: 0.07278 or a?\nAnswer: 0.07278","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75377273 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458700 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1378322292 less than -0.109?\nAnswer: 1378322291.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304288 is divided by 1053?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 350 = -5*p, 3*p + n = 3*n + 208. Calculate the remainder when p is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iij when three letters picked without replacement from {j: 1, b: 6, r: 1, i: 2, h: 2}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*((sqrt(130) - sqrt(130)*2 - sqrt(130)) + sqrt(130)))\/(-6*(sqrt(10) + sqrt(90)*5)).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 114, -4, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 + 3*q - 4. Let d be o(-3). What is the highest common divisor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 2*r**4 - 2*r**2 + 21 - 824*r**3 + 820*r**3 + r to the form k*r**3 + c + x*r**4 + v*r**2 + m*r and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/11))\/(s**(-8\/3)\/s))\/((s*s*s\/(s*s*(s*(s\/((s*s*s**(-8)*s)\/s))\/s)\/s)*s*s*s)\/s)**(-41))**27 assuming s is positive.\nAnswer: s**(-35118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 73*s + 498. Calculate j(42).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 15 = 0, -4*f + 5*f = 2*w - 271. Let d = w - 129. Solve 0 = d*z, -u - 2*u - 2*z = -6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12012 + -201011?\nAnswer: -111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 94 = 52*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 - 99*m + 189. Give c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 300*r**3 - 48*r**2 + 3664*r - 4800.\nAnswer: 4*(r - 75)*(r - 2)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5384037?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3154 plus 21?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*u**4 + 48*u**2 + 7*u wrt u?\nAnswer: -576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -3906a?\nAnswer: 39070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 4 (c) -0.004 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - v + (v + 2*v - 2*v)*(-3 + 2 + 3) - 3*v + 2*v - v + 1)*(-4*v + 26*v - 136*v)*(0*v + 5*v - 2*v).\nAnswer: 342*v**3 - 342*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 967 - 967.661. Let g = 0.561 + m. Let x = 0 + 3. Which is the closest to g? (a) -11 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 15*g**2 + 20*g + 305. Let r be n(-15). Let s(q) = 1. Let c(z) = 7*z + 4. Determine r*s(i) - c(i).\nAnswer: -7*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 478 + 61 - s)*(3 - 4 - 1).\nAnswer: 2*s + 772","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w + 36. Calculate x(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28867 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - 853)\/(1 - 0). Let f = 1346 + o. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284687 a multiple of 827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -49 (b) -32 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6388212?\nAnswer: 2, 3, 269, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*g + 169*g - 1 - 161*g.\nAnswer: -89*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4 - 3*v + 2*v + 3*v**2 + 2*v**3 - 3*v**3. Suppose -2*i - 3*a + 53 = 0, 68 = -2*i + 4*i - 2*a. What is the remainder when c(-3) is divided by i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17963 and 61060?\nAnswer: 15448180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -61\/96 at most as big as -361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2. Let l(t) be the second derivative of -t**4\/6 + 3*t. Determine l(q(k)).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -4 + 14 + 5 - 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 7 = -25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(((-35)\/(-5))\/(-49)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 49 - (11 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198419 is divided by 66058.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1096.4311 to zero decimal places.\nAnswer: -1096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -73521 * -42.3\nAnswer: 3109938.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/13)\/((-159)\/26871)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 48547031.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8) - ((-2)\/(-2))\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1, -2\/5, 2\/13, 7929\/17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 9*q**2 + 8*q + 2. Let k be n(8). Let x be (-5)\/(-1) + k + -6. Let g = -3.8 + 4.2. What is the nearest to -3 in x, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1088, 4308, 9712, 17324, 27168, 39268, 53648, 70332?\nAnswer: 89344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + j - 3*j + 46 = 0, 3*j = -3. Let h(f) = 78*f**2 - 15*f. What is the remainder when h(-1) is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1566 = 23*r + 8213. Let f = -293 - r. Let g(s) = 3*s**2 + 2*s + 4. Let i(p) = 2*p**2 + 3*p + 5. Give f*i(n) + 5*g(n).\nAnswer: 7*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51740 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12182, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sohshshosshsshososs. What is prob of picking 4 o?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74938715 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(31\/(-12))*5\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 1799*x**4\/4 + 2*x**3\/3 - x**2 + x - 8. Let g be (-2)\/(-4) - 1\/(-2). Let b be y(g). Round b to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 + -147. Solve 5*r = -2 - g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*g + 4 + (1 - 1 + 1)*(-4*g - g + 7*g) - 5*g + g + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 8, r: 1, a: 4}. Give prob of picking 2 n, 1 r, and 1 e.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -311*l**2. Let b(f) = -759*f**2. Let p(t) = 51*t**2. Let o(d) = 3*b(d) + 44*p(d). Determine o(h(y)).\nAnswer: -3191793*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11022 + 32?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 20 = 2*l, -l + 3*u + 17 = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.00961722.\nAnswer: 0.00961722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2072 - -4382. What are the prime factors of w?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16335 - -98011\/6. Suppose 0 = 3*d + 8 + 16. Let m be -5*1*d\/(-140). What is the fourth biggest value in -0.7, 5, m, h?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = 41*w + 80. Solve 5*j - 22 = o - 0*j, -w = -5*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 3*z**2 + 1. Let c be a(2). Let n = -7 - c. Let u be ((-6)\/8)\/((-1)\/n). What is the biggest value in u, 5\/6, 2\/17?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) - (-80)\/30. Suppose 57 = 3*a + 3*h, 2*a - h - 53 = y*h. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 19999*w + 1. Suppose 0 = -d + 3*g + 4 - 0, 2*d - 6 = 4*g. Let r be z(d). Round r to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2346 and 117308993?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20aa51 + 5?\nAnswer: -20aa4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8506\/5 - 1695. Let q = t - 299\/45. Find the common denominator of (-2322)\/315 + 4\/5 and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**4 + 12*n**3 - n. Let s(a) = 12*a**4 + 123*a**3 + 30*a**2 - 55*a + 24. Let t(b) = s(b) - 11*w(b). Find g, given that t(g) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*i + 745*i**2 + 107*i - 49*i.\nAnswer: 745*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(6\/4 - (-3 + 6)). Solve 5*x + 4*o = -v, x = -o + 2 - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3056946, 3056992, 3057036, 3057078, 3057118, 3057156, 3057192?\nAnswer: 3057226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 48 = -3*t, 42 = 6686942*t - 6686945*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t + 9*t + 3*t + (4 - 1 + 0)*(2*t + 2*t + 2*t) + (5*t + 0*t - 3*t)*(-9 - 1 + 4).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 11 + -4 + 1 + (-9 - (-14 + 24)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 981382 a multiple of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**4 + r**3 - r**2 + r. Let a(s) = 3*s**4 + 5*s**3 - 9*s**2 + 5*s. Let u(b) = -a(b) + 5*f(b). Find the third derivative of u(d) wrt d.\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -389 - -390. Calculate the highest common divisor of t and 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 5, j: 8}. What is prob of picking 3 j?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12201120020 (base 3) to base 10\nAnswer: -112677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d. Let f(x) = 692645*x. Give f(t(r)).\nAnswer: -1385290*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/((-5880)\/96))\/(62\/(-9331))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*w - 7249 = 571*w - 207*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3420 = -8*g - 11*g. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - b**2 - 1. Let q(l) = 2*l**3 - 14*l**2 - l - 5. Suppose 85*c + 28 = -57. Calculate c*q(d) + 4*f(d).\nAnswer: 2*d**3 + 10*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3 = 0, 5*x - 73 = d + 410. Is 15 a factor of (5 - d) + -1 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10136\/(-905) - 57\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/11 and -65\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 + 90*m - 280 = 0. What is m?\nAnswer: 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1025 - -1023. Let s(v) = -1 - 4*v**3 - 2*v**2 + 1 - 2 + v. What is s(m)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14178 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/8820*-42*(-9)\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(288))\/sqrt(12))\/(sqrt(12) - 4*sqrt(48)\/sqrt(4)) + -4.\nAnswer: -4 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 160897636 - 3?\nAnswer: 160897633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i - 1. Let m be a(-1). Let c be -1 + 0 + -1 - -2. Suppose -v + 9 = -d, -72 = -5*v - m*d - c*d. What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31959 - 1086647\/34. Find the common denominator of k and -53\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 32 = -o. Suppose -5*s + 5 = -0. Calculate the lowest common multiple of (-3)\/2*o\/(-3) and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - m + m + 0*m - 4 as p*m + t and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1 - 1 + 1. Let r(h) = -h + 2. Let x(i) = 4*n(i) + r(i). Let m(o) = -75*o - 138 + 73*o + 155. What is 4*m(c) - 11*x(c)?\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8007 times -1?\nAnswer: -2.8007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**4\/6 - n**2 + n. Let z = 311 + -305. Suppose 2*r - 4 = 4*j, 3*r + 0*r - z = -2*j. Give h(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 5*w + 5. Suppose 27*s - 19*s = -40. Calculate o(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**5 - 8*z**4 - 8*z**3 + 4*z**2 + 10*z + 4.\nAnswer: -2*(z - 1)*(z + 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53\/2 - -26. Sort s, 0, -1\/13 in ascending order.\nAnswer: s, -1\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/18)\/(2\/(24\/(-26)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 598\/(-182) + 100\/30.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9934235?\nAnswer: 5, 683, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 326800 rounded to the nearest 1000?\nAnswer: 327000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 65*m + 10. Let g be y(4). Suppose -2*u - 232 = g. Let s = 361 + u. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/278 (b) 0 (c) -2506\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjjggmgdddjjgggggg. Give prob of picking 1 m and 1 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 833243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 0*f + 0*f - 2*f - 3*f + 3*f - f + 11*f - 3*f + (-1 - 4 + 3)*(3 + 3*f - 3) in the form g*f + p and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -56. Let o(v) = v**2 - 7*v + 12. Let t be o(y). Calculate the greatest common factor of t and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/5)*d*d\/(d**(-5\/2)\/d*d)*d*(d*d**2)\/d**(-1\/3))\/((d\/((d**(-2\/7)*d)\/d)*d)**(-25)\/(d\/(d\/d**(-1\/12))*d**(-1\/4))) assuming d is positive.\nAnswer: d**(4651\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102101 + -11120101021?\nAnswer: -11201210122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155027 is divided by 15489.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/1012125, 5, 16\/9?\nAnswer: -2\/1012125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 5*f**2 + f - 5. Let g be q(5). Let k = 1167 + -1105. Does k = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = x, -3*z + 21 = 5*x. Suppose -2*d + 9 = l, -d + z*d = l. Let o(w) = w**2 - 5*w + 3. Let k be o(l). Let j(a) = -a**2 - a. Give j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417497813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.034303 to two dps.\nAnswer: 5.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 + 15*s**3 + 18*s**2 - 12*s - 24.\nAnswer: 3*(s - 1)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -21491867880 to the nearest one million.\nAnswer: -21492000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6657*6\/(-126) - 11\/1. Solve 23*y - z + 214 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2650787743 to the nearest integer?\nAnswer: 51486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -795.2 + 795. Let w = 4 + -6. Which is the fourth biggest value? (a) 2 (b) t (c) -4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -11. Suppose -w = o - 22, o - m = 4*w + 7. Let z(y) = y + 2. Let l be z(0). Solve l*q + o = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c - 12. Let a = -2.8168 + 2.6168. Let o be ((-4)\/10)\/(1\/(-5)). What is the closest to a in c, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38440 (base 9) to base 6.\nAnswer: -315443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2382, 2365, 2314, 2211, 2038, 1777?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*n - 54*n - 504. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -27 - (-1 + 6\/(-3)). Let m be (-2)\/16*-2 - 549\/(-12). Let h = m + d. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4)*a)**(-2\/93)*(a**(-2\/5))**2)**(2\/83) assuming a is positive.\nAnswer: a**(-253\/12865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2 + 1 - 5 + 2 + (-4 + 5 - 3)*(3 - 1 - 5) + 3 - 2 + 1 - 6 + 3 + 10)*(-147*j**2 - 106*j + 106*j) to the form b*j + w + g*j**2 and give g.\nAnswer: -1617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s = t - 465, -4*s + 237*t + 232*t - 466*t = -77 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110488 to the power of 1\/2, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - 0.2425.\nAnswer: -0.8425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 14*b**2 + 14*b + 13. Let x be d(-13). Suppose -t + 65 + 1 = x. Let n = t + -61. What is the biggest value in -2, 1\/2, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 318 - 358 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**9\/3024 - v**8\/1344 + v**7\/56 + v**6\/16 + 8*v**4 + 108*v. Let j(t) be the third derivative of m(t). Factor j(l).\nAnswer: -5*l*(l - 3)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.11, -1\/4, 3.\nAnswer: -1\/4, 0.11, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17 - (-9)\/(3 - 0). Let g be 16\/10*(-175)\/n. What is the greatest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*k + 46*k - 2*k**3 - 119*k.\nAnswer: -2*k**3 - 21*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5412673 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 1243 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79824 and 224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 997 = 38*y + 503 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -347 - -600. Let z = 132 - y. Which is smaller: -120 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 4:25 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -220765792 or -220765793?\nAnswer: -220765793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3530 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4*26*(-16)\/(-1664)*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 440 = 2277. Let b = 4 - q. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*s + 476*s - 16728 = 236*s for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -27*f + 15. Suppose 4*c + 71 = 27. Let x be k(c). What is the highest common divisor of 39 and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-12)*(-3)\/(-2). Let w be ((-4)\/i*-1)\/1. Suppose 0 = -1325*c + 1375*c - 150. What is the biggest value in c, 3\/8, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -106.4. Let c = m + 10.4. Which is bigger: 1.7 or c?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 146 + 548. Suppose i + 55 = 2*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3037682*2\nAnswer: 6075364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 9, r: 4, l: 2}. Give prob of sequence fml.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Let f(l) = -40*l + 123. Let m be f(3). Sort m, -5, a in descending order.\nAnswer: m, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s. Let g(j) = j**3 + 2 + 14*j + 4*j**2 + 7*j - 22*j. Let x be g(-4). Let l(d) = d - 7*d + x*d + 2*d. What is o(l(h))?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 5) in base 14?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 12*t. Let g = -484 - -479. Put t, -11, g, -6 in increasing order.\nAnswer: -11, -6, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 + 2*a**3*r**2 + a**3*r - 4*a**2*r**2 + 4*a**2*r + 1 wrt a.\nAnswer: -24*a + 12*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.7280565 times 1\nAnswer: -0.7280565","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9755162 is divided by 1015?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161\/3 + 323\/6. Let t(g) be the first derivative of 0*g - v*g**3 - 8 + 1\/2*g**2. Find b, given that t(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3304 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -35126.268 rounded to the nearest ten?\nAnswer: -35130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -138\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -534 + 1002. Suppose -5*n + 107 = -u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14363 or 28723\/2?\nAnswer: 14363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 4. Let g(k) = k**3 - k**2 + k + 1. Let l(i) = -5*i**3 + 5*i**2 - 4*i - 6. Calculate n*g(u) + l(u).\nAnswer: -u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117.1 - 117. What is the third smallest value in -4\/5, c, 7\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2345)\/430 - 308\/(-56)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + i)*(3 + 2 - 2) + (-2*i + 3*i + 0*i)*(-1 - 2 + 1) - 7*i + 2*i - 18*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 359331\/189 + (-2)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 475 by 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 490583 (base 10) in base 11?\nAnswer: 305645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9689, 19080, 28133, 36848?\nAnswer: 45225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 812*l - 601 - 2855 + 1083*l + 699*l + 585*l with respect to l.\nAnswer: 3179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1856626*u**4 - 1599256*u**2 wrt u?\nAnswer: -44559024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59818463 * 0.3.\nAnswer: -17945538.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - 149 - -112) + (2 - 98).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79162\/79 - 1002. Let v = 3485829 + -550768337\/158. Let c = t + v. Find the common denominator of 31\/14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/1292 + 13060\/6120?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from {o: 6, w: 4, m: 3, k: 2}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5 + -1 + sqrt(17) + 3 - (sqrt(204)\/sqrt(108) - (sqrt(1088)*2 + sqrt(17))))**2.\nAnswer: 106*sqrt(17) + 47834\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1101305*m**3 - 63*m**2 - 297039235*m.\nAnswer: -6607830*m - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 - (-3 + 0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5790603691 from -2462.\nAnswer: -5790606153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8992140, -17984348, -26976556?\n\"Answer: -8992208*c + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(156)*2*1)\/((1*sqrt(108))\/sqrt(9)) - -5*(sqrt(1300) - -4*(-5*sqrt(1300))**2)).\nAnswer: 52*sqrt(13) + 650000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8216320782 to three dps.\nAnswer: -0.822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35961.\nAnswer: 3, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 5*i**2 + 0*i**2. Let s(r) be the first derivative of -r**2\/2 + 19. Calculate c(s(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 16) to base 3\nAnswer: 102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.5 - -1.5. Sort 2, v, 1\/3 in descending order.\nAnswer: 2, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0 + 1. Let r be 3*(2 - (2 + d)). What is the units digit of 2*-1 - 12\/r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6. Suppose u = -r - r. Is r != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**3 + 19*z**3 + 0*z**3 - 16*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = 0, -3*d - 2*q - 20 = -4*q. Let o be ((-20)\/d)\/(2\/(-28)). Let u = o - -52. Solve -2*s - 2 = j, 0 = 5*j - 4*s + 7 + u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -4581?\nAnswer: 4581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from jasasnwjja?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20468*z + 20482*z - 182 = 0 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -55.008. Let r = g + -0.008. Sort r, -2, 2 in decreasing order.\nAnswer: 2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3104, 3090, 3076, 3062, 3048?\nAnswer: 3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + -269. Let p = 321.9 + q. Which is bigger: p or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 179 = -5*f, 9*f - 656 = -3*w + 7*f. Solve 0 = 2*r - w + 216 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = d - 15, -2*m - 6 + 0 = 0. Suppose 3*s = 3*k - d, 6*k - 4*k = -s + 4. Put 5, -5, s in increasing order.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*s + 0 + 3 + s**2 - 3*s**2 + 5 = 0. What is s?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 311702*b + 311704.\nAnswer: -2*(b - 1)*(b + 155852)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/13 and 76\/88790169.\nAnswer: 88790169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7367.739ug?\nAnswer: 7.367739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**2*t**3 - 184*l**2*t**2 + 38*l*t**5 wrt t.\nAnswer: -24*l**2 + 2280*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222551 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.160176661 rounded to four dps?\nAnswer: 0.1602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2448))**2 - sqrt(17)) + (sqrt(17)*2)**2 + -5 + 2.\nAnswer: -sqrt(17) + 9857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 + 12468*o**4 - 13308426*o**3 + 731222532*o**2 - 717926571*o = 0. Calculate o.\nAnswer: 0, 1, 57, 2049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, g: 4, t: 1, a: 1, s: 3}. Give prob of sequence ssct.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -13*q + 30. What is the remainder when 6 is divided by b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpp when three letters picked without replacement from pxpxxxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/(-30))\/(1124\/(-5620)))\/(2\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -2*n, 4*p = n + 2 + 2. Solve n = -d - d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, -7\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/6)\/((-172)\/((-857248)\/445)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*r - r = 6, -4*r - 6 = 3*t. Let c = 2.15 + 0.77. Let f = -0.08 - c. Sort t, -5, f in descending order.\nAnswer: t, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.04583 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1438794 and 15.\nAnswer: 7193970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 8:20 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 3*a - 4. Let l be y(5). Suppose 0 = 2*c + 3*c + 105. Let p be ((-12)\/c)\/1 - 4\/7. Solve p = -d + 3*d + 4*n - l, -n = -5*d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 0*x**3 + x**3 + 2*x**4 - 2 as u*x**3 + r*x**2 + l*x + j + s*x**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -6. Solve -s + 3 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184 times 0.0951\nAnswer: -17.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21327796 is divided by 21327792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 370120 to the power of 1\/2, to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 97, 326, 817, 1702, 3113, 5182?\n\"Answer: 22*r**3 - r**2 + 78*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35765, -76810, -117855, -158900?\n\"Answer: -41045*h + 5280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139467 is divided by 3906.\nAnswer: 2757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19101, 19086, 19055, 19002, 18921, 18806, 18651, 18450?\n\"Answer: -a**3 - 2*a**2 - 2*a + 19106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*r**3\/5 + 284*r**2\/5 + 1386*r\/5 + 1764\/5.\nAnswer: 2*(r + 3)*(r + 42)*(3*r + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -554496, -1108993, -1663492, -2217993, -2772496, -3327001?\n\"Answer: -v**2 - 554494*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 16*h + 227. Calculate the least common multiple of 178 and y(9).\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 - 1. Let k(r) = 8*r**3 + 5*r**2 - 2*r + 5. Determine -k(f) - 5*u(f).\nAnswer: -3*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.45 times 13.2\nAnswer: -5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-1\/2))\/x*x*x*x)\/(((x\/((x**(4\/7)\/x)\/x))\/x)\/x))\/(x*x*x**(-1)*x\/(x**(-5)*x)) assuming x is positive.\nAnswer: x**(-41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**6\/200 - 3*c**5\/25 + 128*c**3\/5 + 324*c**2. Factor o(m).\nAnswer: -3*(m - 4)*(m + 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*(-20)\/80.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*m**5 - 15*m**3 + 2*m**2 + 199*m wrt m.\nAnswer: 300*m**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/37695 and -49\/12?\nAnswer: 150780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 3 = 3*j, 0 = 4*q + 4*j. Suppose -5*o = -2*x + 16, -4*x = -7*o + q*o - 20. Solve 4*a - x*t + 3 = 0, -5*a = -4*t + t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -7, 3512, -5, -3 in decreasing order.\nAnswer: 3512, 13, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -4, 45, 80, 5, 0.\nAnswer: -4, 0, 5, 45, 50, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24311, -48627, -72951, -97289, -121647, -146031, -170447, -194901?\nAnswer: -219399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1*sqrt(170)*-2)\/(sqrt(640)\/sqrt(4))*1)**2.\nAnswer: 2*sqrt(17) + 33\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -3*h**5\/20 + 7*h**4\/4 - 15*h**3\/2 + 27*h**2\/2 - 40*h. Factor m(p).\nAnswer: -3*(p - 3)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-1)\/g)*g)**(2\/3)\/(g**(-12)*g**11))**15 assuming g is positive.\nAnswer: g**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -4*z + 218. Suppose -23685 - 12995 = -z*q. What are the prime factors of q?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364 + 13 + 56 = -39*p + 1967 for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-3654)*27)\/((90\/(-7))\/3).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169.16 + 300.53. Let s = 271 - 139. Let o = s - n. Round o to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 336 + 119. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1658\/15, -0.3, -0.2?\nAnswer: 1658\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1, -2.4, 2?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-24))\/(0 - 1)*3. Find the second derivative of 64*r**i - 408*r - 2 - 1 + 397*r - r**3 wrt r.\nAnswer: -6*r + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48386 + -48406.7366. What is g rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-16 + 20 - -8) + -41\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, h: 4, b: 7, x: 5, s: 1, m: 1}. What is prob of sequence xm?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a day?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75297438 to the power of 1\/2, to the nearest integer?\nAnswer: 8677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + bc33?\nAnswer: bc30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 + 3*s**4 + 4*s**4 + (-s + s - 2*s**3)*(-s + 2*s + s) + s**4 - 2*s**4 + 2*s**4 + 5484*s**4 + 3097*s**4 - 4112*s**4.\nAnswer: 4468*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 + -128 - (-1 - 38)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -203765808 divided by -6\nAnswer: 33960968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 409*l**3 + 15*l**2 - 7*l - 366235 wrt l.\nAnswer: 1227*l**2 + 30*l - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3550 = 14*t + 3648 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2416\/45, -2\/7, 2 in descending order.\nAnswer: 2, -2\/7, -2416\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 41*z**2 - 2*z**2)*(0 + 2 - 6)*(2 + 8 + 2)*(-2*z - 2*z**2 + 2*z).\nAnswer: 3360*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91*x + 45*x + 47*x)*(2*x - x + 4*x) - 5 + 15*x**2 + 3 + 4 to the form n*x**2 + l + m*x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrryrryyyvyrvrvrvyrv. What is prob of sequence vvvy?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3164, 4 in descending order.\nAnswer: 3164, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let z be d(10). Let b = -5 - z. Suppose -x + 0*x = 4*s - 65, 81 = b*s + x. Calculate the highest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**3 - 1193749*w**2 + 32*w - 115225?\nAnswer: -6*w - 2387498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) -0.1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12055.71 and -0.1.\nAnswer: 1205.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81550, 81563, 81586, 81625, 81686?\nAnswer: 81775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -14*z + 15*z + 5*w, -3*z = -5*w + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 11 = -2*w, 2*d = -7*w + 12*w + 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36484, -36562, -36698, -36886, -37120, -37394, -37702, -38038?\n\"Answer: n**3 - 35*n**2 + 20*n - 36470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -46050 divided by 10\nAnswer: -4605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 3 = y. Let w(g) be the third derivative of -g**4\/12 + 5*g**3\/6 + 231*g**2. Calculate w(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i + 31*i + 25*i - 8*i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 - -0.784?\nAnswer: 0.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12220*n + 31662018. Calculate t(2591).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 2724538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/11 and 89\/806.\nAnswer: 8866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1597 (base 15) to base 4.\nAnswer: -1020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -768?\nAnswer: -3840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 3) + 3 - (-36 - -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -130. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 11 - 12 + t - 2*t**2. Let n be h(1). Let x(z) = -2*z + 2. Let y(b) be the second derivative of -b**2\/2 + 418*b. Determine n*x(k) - 3*y(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5767 + 5900.95. Let i = -141 + q. Let b = i + 4.7. What is b rounded to one decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5\/3 - 24256*b**4 + 328025012*b**3\/3 + 26598390776*b**2\/3 + 168906806528*b - 1122457438208\/3 = 0.\nAnswer: -41, 2, 9136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 35\/(-3) - (-7)\/21. Suppose -b*y + 780 = 4*y. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 435143 is divided by 141.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -109, 1 in descending order.\nAnswer: 1, -3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15262, 15521, 15780, 16039?\nAnswer: 16298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 11 + 39, 2*z + 17 = -g. Put -2, 212, z in descending order.\nAnswer: 212, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, 14, -5\/2 in decreasing order.\nAnswer: 109, 14, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f84 - -285?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 115, 3, -393, -1211, -2589, -4665?\nAnswer: -7577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/14 and 47\/46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g + 4*o = 55, g + o = 10. Calculate the remainder when (-1 - (-2)\/(-2)) + g is divided by ((-2)\/(-9))\/((-33)\/(-594)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-4))\/(b**(-8)*b)*(b*b**0*b)**21)\/(b**(2\/23)*b*b*b**(7\/3)*b*b*b**(1\/5)*b*b**3) assuming b is positive.\nAnswer: b**(14966\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + 0*n**3 + 2*n**3 + (0*n + n**2 + 0*n)*(-2*n + 5*n - 4*n))*(-124*n + 425 - 169*n - 427).\nAnswer: -293*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3)*3\/14)\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 25. Let h be j(6). Suppose 1 - 9 = -2*m. Solve 3*w = -h*o - w - 41, m*o = 2*w - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ses when three letters picked without replacement from {d: 1, s: 7, e: 2, w: 2}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -1549*u**8\/56 - 3389*u**4\/4 + 7*u - 37. What is the third derivative of p(z) wrt z?\nAnswer: -185880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-61532.93\nAnswer: 6153.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -39268.64 and 52950185.\nAnswer: 52910916.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 9*j - 12*j. Suppose 180 = 2*l - 2*w + 3*w, -277 = -j*l - 5*w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(-n**2 - 3*n**2 + 3*n**2) + 49*n**2 - 2*n**2 - 16*n**2 + (-2*n + 5*n - n)*(-7*n + 3*n + 3*n) - 2*n**2 + 3*n**2 - 2*n**2.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4 (b) -0.08 (c) 0.2 (d) 1.8 (e) 0.3 (f) -36\/7 (g) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31692781, 31692779, 31692777, 31692775?\nAnswer: 31692773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*b - 3006, 4*b - 8*l + 6*l = -2402. Let v = b + 1186. Does 73 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(32)*3)**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-5))\/(2\/655). Suppose 0 = -2802*r + 2783*r - 57. Let p be (-3 - a)\/(r - -4). Calculate the greatest common factor of p and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 618, -219, -3, 4 in decreasing order.\nAnswer: 618, 4, -3, -7, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 967602767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -34230 (base 8) to base 5\nAnswer: -430423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2\/2 + 134109*d - 5995074627\/2 = 0. Calculate d.\nAnswer: 44703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, m: 5, y: 5}. Give prob of picking 3 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*g + 3*k, -g + 0*k + 9 = -2*k. Suppose g*x + 20 = 0, 0 = -4*t + x + 17 + 15. Solve 3*c - t*c + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3. Let b(w) = -90*w - 180. Determine 3*b(c) - 180*q(c).\nAnswer: -270*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0*d + d**2 + 12 - 4*d + 15*d. Let l be q(-9). List the prime factors of ((-4)\/l)\/((-6)\/(-495)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**4\/24 + 7*b**3\/6 - b**2 - 259. Let x(h) = 6. Calculate 2*n(f) - 3*x(f).\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 3*h**2 - 4*h - 4. Let m be d(-4). Let b = -7 - m. Suppose 0 = p + 1 + 3. Is b at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/9 or -132012048?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056 = -127*a - 5*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -551.82 + 552.22. Let n be 7\/6 - (3 - 2). Let c = 3 + 2. Put 2\/3, c, f, n in increasing order.\nAnswer: n, f, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/10)\/((-855)\/(-950)). Which is the nearest to -0.1? (a) -9 (b) 3 (c) y (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.51294 - -0.563. Let s = -0.95 - -1. Let b = s - t. What is b rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1578555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(sqrt(16) - -1*sqrt(144))\/sqrt(8).\nAnswer: -24*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 16 = -9. Suppose -y = -t + 1. Suppose 1 = r, 3*f + y*r - 24 = -2*f. Solve -1 + 5 = 3*n - f*d, n = d + 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 5:19 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -427*o**2 - 4*o - 5. Let d be t(5). What is d rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42\/11? (a) -5 (b) -112 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by -33547.\nAnswer: 86\/33547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5*1*sqrt(170))\/(sqrt(10) - (sqrt(50) - (sqrt(50) + 2*sqrt(50)))\/sqrt(5)) + 1)*-2.\nAnswer: -6 + 10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2 + 7 + 3*v - 6. Calculate t(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - c. Let z be t(-1). Suppose -z*d - 4*g + 8 = 0, -4*d + 2*g + 1 = -17. Suppose 5*n + 117 = r + r, 172 = 3*r - d*n. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 4*b - 6 - 4 + 12 + 276*b**2 + b to o*b**2 + i + x*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (512 - 512 - 31*o)*(2*o + 2*o - 5*o) - o**2 - o**2 + o**2.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1266\/1055*(-15)\/(-3) + 192\/(-33). Determine c, given that 4\/11 + s*c**3 - 6\/11*c + 0*c**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 7*r + 2. Suppose -5*i + r*i = -6. Solve -2 + 0*h**i - 3*h**2 - 10*h - 5*h**2 = 0 for h.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - u**2 - 24*u**2 + u**3.\nAnswer: u**3 - 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - h = -8*m + 2*m + 42, h + 9 = 0. Suppose -4*j = k + 2*k - 34, 2*k = -5*j + 25. Solve -13*p + m*p = -k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:29 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24432 is divided by 2951.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**2 + 20304*j - 23307152 = 0.\nAnswer: 1754, 3322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21626196 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -19. Let p = h - -8. Let k = 7 + p. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 161\nAnswer: -112.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-g + 3 - 3)*(662*g - 150 - 644*g + 31) + (-2*g + 0*g + 0*g)*(g + 4*g - 3*g) + 2*g**2 - g**2 - 3*g**2.\nAnswer: -24*g**2 + 119*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 5:51 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*b**3 + 0 + 738*b**3 + 0.\nAnswer: 117*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v + v)*(-2 + 2*v**3 - 3 + 7).\nAnswer: -4*v**4 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 769780 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0244 + -3.9756. Sort y, -0.5, 20 in increasing order.\nAnswer: y, -0.5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -572941\/36 - -15913. Calculate the common denominator of o and -103\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*r - 5*i + 26, 3*i = 5*r - 14. Suppose 5*m = -h + 31, -3*h = -5*h - r*m + 32. Solve -2*x + 8 = -h*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by -8?\nAnswer: -91\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*s - 6, 5*g - 3 = s - 3*s. Let h be (g - 2)*(381 - -2). Let r = 894 + h. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 3*a - 2. Let x(k) = -k**2 - 3*k + 2. Calculate 2*i(d) + 3*x(d).\nAnswer: d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let l be t\/(4*(-2)\/(-4)). Let n be (-18)\/(3 - (1 + l)). What is n rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -2.1233?\nAnswer: -0.042466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = 2*c, -23782*f + 23779*f - 3 = -4*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8291 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205?\nAnswer: 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 + 0 = o, -2*m = -3*o + 7. Find the common denominator of 73\/4 and ((-1128)\/(-32)*m\/3)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -69. Let d = -32 + b. Let s(m) = -m**2 - 15*m - 1. Calculate the remainder when s(d) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 2*r - 53. Let n be i(0). Calculate the common denominator of 4*2\/(-48) + n\/(-12) and -87\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*r - 3, 5*d - 25 = -5*r. Suppose 4*c - d*i - 357 = 3*c, 3*c - 1079 = i. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*v + 1758 - 22 - 330 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -128*p - 2252. Let u be d(-24). Calculate the greatest common factor of 1148 and u.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*i**3 - 7 - 73*i**3 + 76*i**3 + 24*i**3.\nAnswer: -6*i**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2127 + -3599. Let h = -64 - j. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(78)*-6)\/(sqrt(18)\/(sqrt(48) + sqrt(3))))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4\/11, 5 in descending order.\nAnswer: 8, 5, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a - 4607 = -3671 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*u + 81, 0 = -2*q + q + 1. Calculate the remainder when 338 is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose 2*j - 17 = 5*q, -d*q - 12 = -j - 3. Calculate the remainder when j is divided by (18\/10)\/(24\/80).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41, -53, -67, -83, -101, -121?\n\"Answer: -l**2 - 9*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w. Suppose -4*b = 4*l + 55 + 129, -4*b = 3*l + 187. Let u = b + 50. Let s(a) = 1. What is u*s(x) - 3*y(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 364879499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**5\/60 - x**4\/4 - 13*x**3\/6 - 115*x**2 - 1. What is r(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n - 3. Let h(m) = 8*m + 4. Let y = -232 + 237. Determine y*h(v) + 6*d(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08 from -66747442.6.\nAnswer: -66747442.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 233*x**3 + 0 + 2*x**4 - 12 + 4 as n + l*x**4 + t*x + h*x**2 + y*x**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1527)\/15270 - 41\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-two fifths of a micrometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-13 + 0 + 6) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 437716 and 52525920?\nAnswer: 52525920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25992*m = 51913*m - 26178*m + 23644 for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 45?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 0*z**3 - 1 - 67\/12*z**4 - 199\/2*z**2 + 13*z. Find the first derivative of d(o) wrt o.\nAnswer: -134*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-4 - 2)) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 29966*b - 59929. Determine x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)\/(53\/(-42877)). Let j = b - -824. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 3*c**2 + 5*c**2 + (-3*c + 11 - 11)*(0*c - 4*c + 6*c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 + -104. Solve s = -j, 4*z + s + 10 - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 n when four letters picked without replacement from {n: 1, o: 1, w: 2, y: 1, e: 2, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153397 is divided by 76387.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1021333 (base 4) to base 9\nAnswer: 6441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*g - 6 = 5*g, -18 = -3*g. Which is the closest to 0? (a) k (b) -2\/11 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 10:29 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5811838, 5811839, 5811840, 5811841?\n\"Answer: l + 5811837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*a + a = -2, -3*k + 18 = 4*a. Find the third derivative of q**6 + k*q**2 + q**2 + 0*q**2 + 4*q**6 wrt q.\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i\/i**(1\/6))\/i)*i*(i**(-1\/5)*i)\/i*i*(i*i**(-2\/7)*i*i)**(-26) assuming i is positive.\nAnswer: i**(-14197\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 128? (a) 2\/3 (b) 0.1 (c) 5169 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, g: 3, n: 1, s: 3, l: 6}. Give prob of sequence un.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcc when three letters picked without replacement from jqjcjqqqqc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(-46)*5\/((-350)\/(-12))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q + 7\/2*q**2 + 10 + 8\/3*q**3. Find the second derivative of b(m) wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.1395716.\nAnswer: 0.4187148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7857952*u**2 + 12966680 wrt u.\nAnswer: -15715904*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13216 times -0.5\nAnswer: 6608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and 25338572.\nAnswer: 25338572.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(6\/13)*i*i**12)**(-16) assuming i is positive.\nAnswer: i**(-3008\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 39 - 39*r + 20*r + 16*r + 0*r**3 to the form a + o*r + h*r**2 + k*r**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 0.4\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*j + 9*j + j**2 - 3 - 90*j + 7789*j**4 wrt j?\nAnswer: 186936*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -446282*a**2*x + 10752422*a**2 - 5*a*x wrt x?\nAnswer: -446282*a**2 - 5*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 17, s: 3}. What is prob of sequence os?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235691, 235677, 235663?\nAnswer: 235649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h - 14. What are the prime factors of q(20)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -15*h + 16*h. Let m = 28 - h. Suppose -40 + 36 = -l. Solve -3*v = l*u, 0 = -0*v + 2*v + 5*u + m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*l - 264*l**2 + 71*l + 17*l**2 - 60*l**2 - 52*l.\nAnswer: -307*l**2 - 43*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46331 is divided by 5147.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y = -18*y - 10. What is the highest common factor of 20 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51298 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 69\/(-69)*-1*96\/(-6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-111264)\/18 + 1\/3. Let d = b + 15990. Suppose 5*j = 2*u + 48994, 2*j + 3*u - d = j. Round j to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -17, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1315*i - 167*i + 3315 - 66455 = 0 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1719*y**3 - 471*y**3 - 3404*y**2 - 2284*y**3 wrt y.\nAnswer: -26844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10*0)\/((-9)\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (10 + 1) - -1) + -3 - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*((sqrt(396) + 1)*6)**2 - (-1 + (0 + 0 + sqrt(1584) - sqrt(1584))**2)).\nAnswer: -85755 - 2592*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 + 4*s**2 + s + 6. Is 6 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, l: 1, r: 4, m: 1, g: 4}. What is prob of picking 1 g and 1 u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -2*k**6\/5 + k**4\/2 - 12*k. What is the third derivative of v(g) wrt g?\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 + 3 - 2*h**2 - 5 - 198*h**2 + 3.\nAnswer: -187*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18008871 and 327.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 11 = b + 2, -4*b + 5*v - 3 = 0. Let l = b - 0. Let y(k) = -2*k - 6. Let f be y(-3). Solve f = 5*d - 2 - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -891 - -891.081. Let x = 4097.08452 + -4097. Let r = h - x. What is r rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.00000217 - -58. Round d to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 + 3*b**2 - 2*b**2)*((2*b - 4*b + b)*(-2 + 2 - 1) + 4*b + b - 42*b) to r*b**3 + n*b + c*b**2 + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0527 + 21037.1491.\nAnswer: 21037.2018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-3 - (-2 - (-1 + 0))). Is (326\/g)\/((-1)\/4*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910224687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 17}. Give prob of picking 2 f.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -360969902 divided by 717634?\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 100*x + 94. Suppose 18 = 2*y + 8. Let a(b) = 51*b + 48. Let g(i) = y*a(i) - 3*l(i). Let g(n) = 0. Calculate n.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j**2 - 64624*j + 64635*j + 2*j**2 - 5*j**2 + 6*j**2 - 4. Let n(g) = g**3 + 2*g**2 - 12*g + 5. Calculate 3*n(t) + 4*r(t).\nAnswer: 3*t**3 + 2*t**2 + 8*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 8 = h, -2*l + 0*l = 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5\/3*g**2 + 0 + 5\/3*g**4 + 5\/3*g - 5\/3*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124913.\nAnswer: 23, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1972, 2421, 2876, 3337, 3804, 4277, 4756?\nAnswer: 5241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 + -86. Let q = 0.27 + 0.03. Suppose 0 - 9 = 3*o. What is the nearest to d in 0, o, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {y: 1, c: 6, n: 5, r: 5, o: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 - 3.08. Let x = -25962\/77 - -3712\/11. What is the closest to x in -5, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60 - 51 - 26)*(0 + 0 - 2*q)*(-5 - 14 + 2) + (-2 - 3 + 6)*(3*q + q - 2*q) - 2*q + q + 0*q to the form v*q + a and give v.\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (13 + -13 - -5) + -14 - 10\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/15)*l)**(-9\/11)*l**(-4\/13)\/l**(-3))**(2\/45) assuming l is positive.\nAnswer: l**(1588\/32175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Let q = b - 6. Let v = q - -9. What is the remainder when 23 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111143 (base 6) to base 9.\nAnswer: -13740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 - 3*v + 9. Let y(h) = 5*h**2 + 2*h - 9. Let j(s) = -2*q(s) - 3*y(s). Determine l so that j(l) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 2*y. Suppose 0 = -5*p + 15, 4*p + 18 = 4*k - 9*k. Let i = k + 8. Solve -i*n = -0*n - y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.36270001 - -119\nAnswer: 117.63729999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*h - 226. Let q = 160 + h. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164920?\nAnswer: 2, 5, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 128*l - 391. What is n(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-5)\/(-6))*((-18)\/(-6))\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-67454.1\nAnswer: 20236.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*h + 3*h. Let k be 2\/14*(h - -1). Suppose -3 = 4*f - 7. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3113 - 0.5\nAnswer: -3113.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2873, 2367, 1859, 1343, 813?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 117\/383? (a) -0.08 (b) 52 (c) -0.2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + -9. Let y = v - -21.5. Is y greater than or equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30561\/5 - -6112. Let p = -11 - -7. Which is the smallest value? (a) -3\/5 (b) p (c) v (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -9, -1180 = -4*a + 5*t - 83. Let f = -274 + a. Solve -h - 5 = -w, 10 = 5*h + f*w - 2*w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 114, 254, 450, 702, 1010, 1374?\n\"Answer: 28*v**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*9\/6. Which is smaller: b or -2\/21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 6252 + 26212 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 6*u + 6. Let y be n(4). Let k = 2 - y. Suppose -4*t + 6 = -m, -4*t - 4*m + k = -12. Solve -t*c - 1 - 3 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*k*(k\/(k*(k\/(k**2\/k))\/k))\/k)\/(k**(-6\/7)*k**3)*((k\/(k*k**(-2)*k))**(8\/13))**(2\/13) assuming k is positive.\nAnswer: k**(3492\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(-1\/5))\/d)**(-17)*(d*d**(-1))**(-1\/5) assuming d is positive.\nAnswer: d**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 + -80. Suppose j*f + 4*k - 7*k = -6, -3*f = -3*k + 3. Suppose 2*w = -2*w - 3*i, 2*w + 3*i = -6. Solve -w = 3*g + 3*d, -10 = 3*g - f*d - d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 13*f**2 - f + 3. Let h be g(-2). Let a = h - 109. What are the prime factors of a\/(-6)*3\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177941321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 2*q - 5, t + 2*q + 0 - 7 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/60 - 2*m**5\/15 - m**4\/3 + 4*m**2. Let g(f) = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 8:10 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15987761 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2. Let o(r) = -6*r**2 + 5*r**2 + 2*r**2. What is i(o(j))?\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. Suppose 8*k + 8 = 4*k, -3*x + 3*k + 6 = z. Let p(m) = -m. Let d be p(x). Solve -3*g + 3*i = 24, d*i + 8 = 2*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 2792.\nAnswer: 19544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2304?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 31*x = -27*x + 125, -3*x = -5*h + 201. Solve 3 = p, 0 = -5*j + 2*p + 8 - h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -503 + 521. Let y(m) = -m**3 - m**2 + 2. What is the least common multiple of o and y(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52182?\nAnswer: 2, 3, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56686876 divided by 2764.\nAnswer: -20509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 50064?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**7\/315 + o**6\/90 - 2*o**5\/45 - 2*o**4\/9 - o**2 + 61*o. Factor t(p).\nAnswer: 2*p*(p - 2)*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814083563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*p - 36792 = -435*p + 4572340. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-36) + (-45626)\/(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 + -153. Suppose -4*u + 4*s + 952 = o, 2*u + s = 79 + 388. What are the prime factors of u?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95 - 105. Let p = k - -1545. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7 + 5 - 2*c - 5 - c. Suppose 0 = 5*t - j - 131 + 111, -j = -3*t + 12. Calculate f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-10))\/(18\/45). Let b(q) be the second derivative of w*q + 1\/90*q**5 + 0*q**3 + 0 + 0*q**2 - 1\/54*q**4. Factor b(k).\nAnswer: 2*k**2*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -13. Which is bigger: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6649 + 6655. Put 3\/7, d, 3 in ascending order.\nAnswer: 3\/7, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 9. Let j be m(-6). Let o = 0 + j. Suppose o*a - 4*a - l + 1 = 0, -4*l + 4 = 2*a. Solve -3*x + 9 + 6 = a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 2\/25, 1\/9, -2 in descending order.\nAnswer: 2, 1\/9, 2\/25, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-17))**(-9)*g**(-14)*g*g**(-8\/11) assuming g is positive.\nAnswer: g**(1532\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 - 12. Let g = -163.04 - p. Do g and 4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 193 = 4*w + 12*n, 0 = 3*n - 15. Solve -10 = -w*f + 42*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-15)*(-3)\/10. What is the nearest to 1 in m, -2, 5, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -210, -310, -406, -498?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2 - 191*f + 6 + 188*f. Determine m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4070)\/(-22)*(-6)\/(-10). Is ((-74)\/o)\/(4\/(-79842)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 11, -2 in ascending order.\nAnswer: -2, -0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(33)*-4)\/sqrt(3) + 2 - (2*sqrt(99) + -1 + sqrt(99) - (-2*sqrt(99) + 2)))**2*1.\nAnswer: -270*sqrt(11) + 8044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -156 and -0.187788?\nAnswer: 29.294928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/((-9)\/12))\/2. Let b = i + 1. Solve 3*l = s + b - 11, 5*l + 13 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from beeebooobeooere.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**3 - 5*u**3 + 90*u**2 - 4*u - 51*u**2 - 51*u**2 - 4*u**4.\nAnswer: -4*u*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 23. Let d be w(9). Is d at least as big as 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4\/13, -3\/7 in increasing order.\nAnswer: -5, -3, -3\/7, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**1*c))**(2\/41)\/(c**(-2)\/(c*c**1)))**(-2\/85))**(-45) assuming c is positive.\nAnswer: c**(2916\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18*((-59)\/(-767))\/(5*(-4)\/(-130))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (91*h + 68*h + 9448 - 9449 + (h - h - h)*(-3 + 2 - 3))*(-7*h + 4*h**2 + 7*h) as a*h**2 + j*h + d + l*h**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 + 20*l + 7. Let z = 48 - 44. Calculate the remainder when k(-6) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eogogeegeegogo. Give prob of sequence ooog.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.5 in 1\/3, 2\/3, 136845?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11*(1 - (0 + 0)). Let p be 264\/3 + 2 + 1 + -3. Calculate the highest common divisor of p and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5*x = -30, 8 = -i - 4*x - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53083.\nAnswer: 109, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*n + 302 - 151 - 153 to the form j*n + i and give j.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d\/(d*d*d**6)*d)\/d))**(-18\/11))**(-8\/5) assuming d is positive.\nAnswer: d**(1008\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhhhhhhhhhhyhhh.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 - 90 = 4*s. What is the highest common factor of 184 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002418502.\nAnswer: 2, 167, 3001253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-103)\/((-21012)\/136))\/(-2*(-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 474725.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c. Suppose -m + 50 = -3*p + 51, -m = 1. Let j(h) be the third derivative of 5*h**2 + p + 0*h + 1\/24*h**4 + 0*h**3. Calculate q(j(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 3. Let r be p(0). What is the remainder when (r\/(60\/(-32)))\/((-3)\/(-150)) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**3 + 31*t**3 - 17*t**3.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1579 - -3387. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 4*y**2 + y**3)*(-5*y + 5*y + 4*y**2) + 46*y**2 + 2*y**5 - 46*y**2 - 3*y**5 + 2*y**5 + 4*y**5.\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128785 divided by -584?\nAnswer: -128785\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3472925 by 138917.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 85. Suppose 0 = 3*k - 3*n - n - b, 0 = -2*n + 6. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + q**3 + 4 - 2*q**3 - 3*q + 13*q - 8*q as h + j*q + z*q**3 + w*q**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1100 and 7 + (101 - -13) + 0.\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 2. Let b = v + 11. Let h = -0.57 + 0.07. Sort b, h, -5 in decreasing order.\nAnswer: b, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20305, -4, 4, -0.2 in decreasing order.\nAnswer: 4, -0.2, -4, -20305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-16)*o)**3*(o\/(o*o**(-1\/24)*o))\/o**(-21) assuming o is positive.\nAnswer: o**(-527\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -60988, -122052, -183116?\n\"Answer: -61064*w + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = -0, 0 = -5*h + q + 19. Suppose 0 = h*s - f - 7183, s - 2371 = 2*f + 3*f. Suppose y - 1449 = s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -37. Let x = -2 + 2.1. What is the smallest value in x, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/29 or 2?\nAnswer: 18\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(704) - (sqrt(704) + -1))*-2 - (sqrt(704) + sqrt(704)*-1*-3)) + 0)**2.\nAnswer: -33804 - 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 139125, 139122, 139119, 139116, 139113?\n\"Answer: -3*t + 139128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34340436 and 369252?\nAnswer: 34340436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 195992933993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/(8\/4) + 0. Suppose -3*i + 221 = 5*d, -i - p = -3*d + 111. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 1:00 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 138 = -15*i + 12*i. Let z(h) be the second derivative of 0 + 0*h**2 - i*h - 5\/6*h**3 + 1\/20*h**5 + 1\/3*h**4. Calculate z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*f = -12, 521*v - 524*v + 2*f + 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -974 + 976. Let m be (0 - 1) + 1 + 2. Suppose s - 64 = -k*y, 3*y - 178 = -2*y + m*s. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 600, 658, 716, 774, 832?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 1102015?\nAnswer: -1102015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 376 - 381. Which is the third smallest value? (a) -4 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = 3*t - 16, 3*t = 5*u + 23. Let k be 4298\/49 + (-2)\/u. Let m = k - 48. Calculate the greatest common divisor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 886245.1ml?\nAnswer: 886.2451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*i + 43. Let v be (-2)\/i + (-10)\/6. Let q(j) = -j**3 + 2*j**2 + j + 2. Is 8 a factor of q(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 5:44 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3294 - 1875. Let n = k + -4384\/3. Let i = n + 42. Which is greater: i or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -867*q + 7802. Let m be a(9). What is the third biggest value in m, -10\/27, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -3*c + 8*c. Let h = c + 46. Solve -3*f + l = -h, -3*f + 8 - 1 = -4*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {a: 6, g: 2, j: 4, m: 6}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d8 (base 14) in base 8?\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {n: 1, l: 1, m: 1, t: 2, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*c**2*f**2 + c*f**2 + 52*f**2 wrt c?\nAnswer: 160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146697 and 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3, -15\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -936262 rounded to the nearest ten thousand?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*v - 2224 = 420*v + 231*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277 - -280. Solve 0 = 5*m - 2*m + r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)*n\/(n\/(n*n\/(((n*n**5)\/n)\/n)*n*n)))**(-36)*((n**(-10)*n)\/n**(-5))**(-3\/2) assuming n is positive.\nAnswer: n**438","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3\/(-42)*-2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 1282, 4218, 9908, 19270, 33222?\nAnswer: 52682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(6\/11)*u)*u**(-49)*u assuming u is positive.\nAnswer: u**(-534\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y + 73 = -w, 0 = 2*y + 5*w - 111. Find the second derivative of -y*i - 15*i**2 + 67*i + 1 - 1 wrt i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75726 + -167737. Let r be (5 - l)\/(-4) + 4. What is r rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1132222 + -10?\nAnswer: 1132212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (25*(-108)\/12150)\/(2*(-2)\/66)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 6:19 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 8*d + 26. Let r = d + 31. Suppose -r*t + 170 = 4*q, 29 + 45 = 2*q - 3*t. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1155, 11271, 39401, 94551, 185727, 321935, 512181?\nAnswer: 765471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -50. Which is bigger: 111\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -256.1 and 217?\nAnswer: -55573.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 10*w + 7. Let a(c) = 2*c**2 - 22*c + 15. Let h(t) = -2*a(t) + 5*i(t). Let f be h(6). Solve 0 = 2*d - 10*n + f*n - 16, 0 = 3*d + 3*n - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdm when three letters picked without replacement from {m: 4, s: 4, d: 2, l: 1}?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - ((-11 - 4) + 24 + 4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -205979 divided by -1\nAnswer: 205979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, -40058, 4, 7\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 6. Let h be g(8). Let a(s) = 114*s**2 + 1936*s - 39. Let i be a(-17). Sort -4, i, h, 98.\nAnswer: i, -4, h, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17390 + 17393. Solve -13 = -l*m + 2*a, 4*m + 27 - 11 = -4*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -130 and 0.0124787517.\nAnswer: -129.9875212483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexkeiibw. What is prob of picking 1 w and 1 e?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 7:53 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2197? (a) -165 (b) 7 (c) -2 (d) 1\/3 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0233797 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -29 (b) -4\/5 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29861, -29742, -29537, -29240, -28845, -28346, -27737?\nAnswer: -27012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -548, 750, 2052, 3358, 4668?\n\"Answer: 2*y**2 + 1292*y - 1842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + -5. Let z = -9 - i. Suppose -2*j + 1015 = 3*j + 3*f, 406 = z*j + 4*f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*a + 283*a + 35*a + 81*a + 457*a in the form k + m*a and give m.\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 284.850145 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36253 (base 7) to base 11.\nAnswer: 7073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 96 - 85. List the prime factors of ((-11)\/4)\/(l\/(-1804)).\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84717461.\nAnswer: 84717461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*q = 2*q - 9, -3*q = -2*u - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 33*q - 92. Let x be v(-28). Calculate the greatest common factor of x and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 220?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 33451620 (base 8) to base 14\nAnswer: d62d7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 4\/21, -3, 125458?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 27. Suppose -3*n - 2*z = -323, -1 = 2*z - l. Let i be -522*(-5)\/60 + (-3)\/2. What is the greatest common divisor of n and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/3*(34\/10 + -3). Factor 3*s + 16 + 61*s**d + 6*s - 65*s**2 + 3*s.\nAnswer: -4*(s - 4)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnphnnnihh. Give prob of picking 2 h.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11292 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 closest to 278 in -7, 0, -3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, -2, -36, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 5*f**4\/4 + f**3\/3 - 87*f - 185. What is the derivative of b(x) wrt x?\nAnswer: 15*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80f (base 16) to base 5.\nAnswer: 31223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*-8*(-4 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8 - -15.2. Let k = h - 18. Which is the smallest value? (a) k (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -12*t - 7. Let a(y) = 199*y**2 + 2*y. Give d(a(p)).\nAnswer: -2388*p**2 - 24*p - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a millennium in years?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**3 + 0*z**3 + z**3)*(113 - 494 + 247) as y*z**3 + u*z**2 + p + t*z and give y.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/344 and 95\/116.\nAnswer: 9976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/19 (b) 0.203 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 - 19) + 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5512, -5519, -5538, -5575, -5636, -5727?\n\"Answer: -c**3 - 5511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151 + -139. Suppose -3*i + 30 = 3*g, -k*g + 28 = -8*g + i. Let o(c) = c**2 - 8*c + 4. What is o(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-3 - (5 + -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539 divided by 45.\nAnswer: -539\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 at most -267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from duzzzzuuzzzdlzzzzzz?\nAnswer: 13\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -43.8.\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 502.\nAnswer: -501.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188400 and 72220.\nAnswer: 4333200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*p - 3 - 1, v - 3 = 0. Let d be p\/(-2) + 95\/150. Which is smaller: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (-3 + sqrt(5) + 1) - sqrt(5) - 6*sqrt(10)\/sqrt(2).\nAnswer: -7*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*v**3 + 78*v**3 + 2*v**2 + 5*v - 39*v**3 to the form o*v + t*v**3 + a*v**2 + g and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25839005 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 + 57. Which is smaller: -16 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n + 31*n - 2080 = 2*n + 12*n for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -335, -689, -1043?\n\"Answer: -354*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + -5*sqrt(65)\/sqrt(5)*-4 + -4.\nAnswer: -12 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 7. Is z at most -1\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -2, -4, -25894?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 146535846 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:09 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (0 + sqrt(98))**2 + -1 + (-2*sqrt(288))\/(4*1*sqrt(9)).\nAnswer: -2*sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107966*o**2 + 107966*o**2 - 5*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 51*o + 53. What is y(-21)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**0\/d))\/d**(-7)*d*d\/d**(-7)*d*(d*(d**(3\/7)\/d)\/d*d*d*d*d)\/d)\/((d\/d**(-1)*(d\/d**(2\/5)*d)\/d)\/(d**(-2\/13)\/(d*(d**0*d)\/d))) assuming d is positive.\nAnswer: d**(8042\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 4) + 23 - 2 - 53?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 33 = 3*x - 3*g, 0 = -x - 4*g - 24. Let h = x + 21. Let r be h\/(-2) + 4\/8. What is the nearest to -0.1 in -0.2, -0.5, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (1*sqrt(1458) + 2)*6).\nAnswer: -162*sqrt(2) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386052 to the power of 1\/2, to the nearest integer?\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18305 - -7526?\nAnswer: 26832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 31969437?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let d(y) = -20 + 980*y + 19 - 843*y. Give r(d(c)).\nAnswer: 18769*c**2 - 274*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -1\/6*t**3 + 1 + 0*t**2 + 1\/2*t. Factor n(r).\nAnswer: -(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 7529*r**3 + 5 - 15030*r**3 - 3*r**2 + 7549*r**3 in the form n*r + i*r**2 + v*r**3 + m and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 468850655 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, 315, 1901, 4983, 10059, 17627?\nAnswer: 28185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 649492, 1298968, 1948444, 2597920, 3247396, 3896872?\nAnswer: 4546348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -735*j + 5581. Give k(9).\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 304 = 7*o. Let k(y) = -y**3 - 18*y**2 + 16*y - 55. Let r be k(o). Factor -2\/3*p**r + 28\/3*p - 98\/3.\nAnswer: -2*(p - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -16*z**2 + 27 - 16*z - z**4 - 20\/3*z**3. Solve t(l) = 0 for l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 641? (a) 4 (b) 0.2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by -195.\nAnswer: 172\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731056 to the power of 1\/2, to the nearest integer?\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/3 - 80. Let k(r) = 7*r + 2. What is k(m(i))?\nAnswer: -7*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*x - 13 = 0, 5*r + 0 - 21 = -3*x. Let i be -4 - -7 - r - (-4 - 0). Solve -i*v + 25 = 5*z, 0 = 5*v - 15 - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33600.23544 to the nearest one hundred.\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 53990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -192, -728, -1614, -2850, -4436, -6372, -8658?\n\"Answer: -175*s**2 - 11*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 23*h**2 + 208185. Let f(w) = -26*w. Calculate f(b(m)).\nAnswer: -598*m**2 - 5412810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f - 11. Let q(u) = u - 6. Let h be q(9). Let a = -5 + 0. Let t(o) = 4*o - 6. Let j(n) = a*t(n) + h*p(n). Differentiate j(g) with respect to g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 19666550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329 divided by 3608.\nAnswer: -329\/3608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1182.55 + -1182.6. Which is the nearest to -4? (a) -24\/7 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210951760 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 152*t = 155*t - 27, -4*t = 12. Solve q*g = -14*g - 26*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/27 + 1570\/18. Suppose -4*u = -c + 23. What is the greatest common factor of 112 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**2 - 2*w + 3. Let v(u) be the first derivative of u**4\/4 - u**3 - u**2\/2 + 2*u - 6. What is -2*t(h) + 3*v(h)?\nAnswer: 3*h**3 - h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -45*v**3 + 235*v + 235. Determine u(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 8 - (-30)\/3. Solve y*d - 3*n + 2 = n, -4*d + 3*n + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - z**3 - z**3)*(158 - 20*z - 158).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 1122.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4943987117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**6 - 3758083*v**4 - 7*v**3 - 3*v**2 + 26477828*v + 2 wrt v?\nAnswer: 360*v**3 - 90193992*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:24 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)\/h**5)**(-35) assuming h is positive.\nAnswer: h**595","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvoevvvvsvveseevvov. What is prob of picking 2 o and 1 v?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16641 (base 10) to base 8\nAnswer: 40401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 divided by -8?\nAnswer: -131\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 307733 (base 8) in base 5?\nAnswer: 11233423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3501749?\nAnswer: 3501749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1121011 - -13044?\nAnswer: 1134110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 399*u**5 + 280*u**2 - 42*u. Let r(z) = 47*z**5 + 33*z**2 - 5*z. Let l(w) = 5*k(w) - 42*r(w). Find the third derivative of l(d) wrt d.\nAnswer: 1260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/5 - 14*n**3 - 508*n**2\/5 - 744*n\/5.\nAnswer: -n*(n + 2)*(n + 6)*(n + 62)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -1\/4, 3\/43, 0.3, -3\/7?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide (-55)\/5 - (-23652)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -14 - (30 + -4 + (3 - -1))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q + 233 = 10 - 347 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o - 39. Calculate the smallest common multiple of o and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*n + 7, 5*x + 429*n - 135 = 434*n. What is the remainder when 541 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 16. Let a = s + -5. Let n = 8.2 - a. Sort n, 0, -2 in descending order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 + 81 = -9*b. What is the greatest common divisor of 49 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**3 - 6315*i**2 - 6312*i = 0. Calculate i.\nAnswer: -2104, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 2*c - 2117376. Let j(p) = -2*p**2. Determine i(j(l)).\nAnswer: 4*l**4 - 4*l**2 - 2117376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683\/4 + (-2)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.79 - 0.84. Let u = -2\/253673 - -388627054\/2283057. Let z = u + -170. What is the smallest value in -4, l, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 22. Let c(y) = -244 + 478 - 241. Let b be -13 + (-29)\/(87\/(-18)). Determine b*c(d) - 2*p(d).\nAnswer: 2*d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 29*g + 81. Let n be (52\/(-3))\/((-2)\/(-3)). Let k be y(n). Suppose -2 - 19 = -k*l. Let s(o) = -o**2 + 7*o - 3. Calculate s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-3)*(-12)\/(-15). Let y = 67 + -419. Let w be y\/(-456) - v\/(-6). What is the smallest value in 2\/11, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -5334 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + (-1*2*sqrt(1053) - sqrt(1053) - (1*(-1 + sqrt(1053) + sqrt(1053)) - sqrt(1053))) + 0)*-3)**2.\nAnswer: -1944*sqrt(13) + 151713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8)\/w**(-5)*w**(1\/4)\/w**4)**38 assuming w is positive.\nAnswer: w**(133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -l + 2, 0 = l + 2*l + 2*t - 18. Suppose 11*i + l*i = 38342. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 25) + (9 + -2 - (-326 - -340)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.4, 135, 0.041, -6.7 in descending order.\nAnswer: 135, 0.041, -5.4, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u - 8. Suppose 4*m + 20 = 9*m. What is the smallest value in u, 3, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 7:39 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**6*z)\/z*z**2)**(-39)\/((((z**(-4)\/z)\/z)\/(z\/z**(-1)))\/(z*z**(1\/4))**(1\/26)) assuming z is positive.\nAnswer: z**(-35667\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -727*q**5\/15 + 6467*q**4\/24 - 4203*q**2. Find the second derivative of f(y) wrt y.\nAnswer: -5816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 5*x = -23 + 7, 0 = 5*x + 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16612686*-6.\nAnswer: -99676116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59145579 to the nearest integer?\nAnswer: 7691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - r = 4 - 0, r = -4. Suppose 4*o - 38 = m, -5*m + 3 + 7 = a. What is the smallest common multiple of o and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23382 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: Suppose 0 = -2*g - 2. Let v be -2 - -1 - (g - 0). Suppose -3*d + 7*d - 8 = v. Solve d*k = -k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322049.2 rounded to the nearest 10000?\nAnswer: 4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2123 = -97*l + 86*l. What is the closest to -1 in 1, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -8. Let k = n + -11. Suppose 0*y = k*y - 175. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**2 + 2. Let a = 16 - 15. Let t(i) = i**2 - 3*i**3 + 2*i**3 - 2*i**2 + 1. What is a*y(p) - 2*t(p)?\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**4*x - 2*c**2 + 4*c*x**3 + 99*x**3 wrt c.\nAnswer: -8*c**3*x - 4*c + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-39)*((-165)\/5)\/(-33)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, -4, -1 in ascending order.\nAnswer: -6, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270401.\nAnswer: 317, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 6. Let y be k(7). Let t(n) = 0 - 3*n - 3*n**2 - y - n**3 - 2 + 1. Is 21 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3105, -3056, -3007, -2958, -2909, -2860?\n\"Answer: 49*q - 3154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from {v: 7, w: 8, u: 3}?\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 + 100. Is -1\/163 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-13 + 25 + 5) - (3 + -10 + 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 6 + 29 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -5. Let t(y) be the third derivative of -y**6\/120 - 7*y**5\/60 - 3*y**4\/8 - 3*y**3\/2 - 43*y**2. Calculate t(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/(-30)*(-14)\/(-21)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291408484 to the nearest integer?\nAnswer: 17071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9*q + 42 = 0. Let b(m) = -m**2 + 9*m - 20. Let o be b(q). Let f be 0*2\/o*3\/3. Solve -5 = -3*j - 4*w, -w - 3*w + 8 = f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 17*y**3\/3 - y**2 + y + 2681. What is v(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j - 296 = -10 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 9*v + 11. Let i be x(-9). Suppose i*z + 870 = 5*z. Let h = z - -231. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5 + 3*w**4 - 72*w**3 + 120*w**2 + 48*w - 144.\nAnswer: 3*(w - 2)**3*(w + 1)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17543 = 22*v - 127851. List the prime factors of v.\nAnswer: 2, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -297 - -301. Solve 3*n - 4*n + s = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -651 + 131 = -8*k. What are the prime factors of k?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/1*(-1 - -2). Let o be t\/4 + 1 + 116\/(-48). Which is the second smallest value? (a) o (b) -0.2 (c) 12 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26916?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/3 + t**3 - 4*t**2\/3 = 0. Calculate t.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:40 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nknk when four letters picked without replacement from nnkkknnkkkkknkkk.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*q - 178 = 0, 2*g - 4*q - 11 = 77. Calculate the remainder when g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 8 = 28*l - 61*l + 28*l, 0 = 3*y + 9*l + 15 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 168089.6, -3\/7, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 30*j + 286. Give f(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qayqhqqay. What is prob of picking 2 a and 1 h?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 5550097.\nAnswer: -18\/5550097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*s = 50*s - 189*s + 82*s + 835 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) -3 (c) 5 (d) 0 (e) 97 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*n = 24, k - 10 = 2*k - 2*n. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 638*q - 54432. Determine g(-70).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + 5*b - 25. Let y(p) = 7*p + 2. Let k(f) = -3*f - 4. Let d(m) = 3 + 1 - 3*m - 7. Let i(l) = -3*d(l) + 2*k(l). What is b*i(q) + 2*y(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 118*r + 0*r**3 - 53*r to j*r + m + o*r**3 + p*r**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 347, 696, 1047, 1400, 1755, 2112, 2471?\n\"Answer: k**2 + 346*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2931 - -7644. Is 235 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - 32. Let h = o + 884\/9. Which is the nearest to 1? (a) -1\/3 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660610 = 1322*m - 1260*m. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50000 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*t + 2518 + 569 = 233*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1722, -1739, -1756, -1773, -1790, -1807?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8976744+-2.53\nAnswer: -8976746.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {f: 2, z: 4, w: 1, x: 3, d: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*a + 176 = -3*a. Calculate the remainder when 34 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0)*(48\/12)\/(-8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365 is divided by 438?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 - -3. Let i = 0 + 0. Suppose i*n + 2*n = 0. What is the nearest to n in v, 1, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 728307 and 3803381.\nAnswer: 34230429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/19404 and 15\/5929?\nAnswer: 213444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220084 and 1108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3311.4 - 0.07192125\nAnswer: 3311.32807875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44472492 and 1032?\nAnswer: 88944984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 2. Suppose 0 = -5*i + j*i. Suppose -5*u = -i - 25. Solve -3*z - 1 = 3*c + 20, 4*c = u*z - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 78\/127, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, -5, 0, -30 in ascending order.\nAnswer: -30, -12, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10098*y + 10057*y + 0 - 5*y**4 + 17*y**3 + 0 + 9*y**3 wrt y.\nAnswer: -60*y**2 + 156*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3981 is divided by 147.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -159 - (4 - 4). Let w = 410 - l. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 - -56. Suppose a - 3*a + 98 = -5*y, -2*y = -5*a + u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 > 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/6 + 5*n**3\/6 + 5*n**2\/2 + 5*n. Let p(q) = -2*q**2 - 4*q - 4. Calculate 4*j(v) + 5*p(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -117*w**3 + w**2 + 3*w + 3. Let j be l(-4). Let g be j\/(-15) + -1 + (-2)\/(-3). What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -327375796 and -0.02.\nAnswer: -327375796.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 47*l - 13*l - 29*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 51 = -30*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/570 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + f - 1 = -18, g = 2*f + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 + ((-222)\/(-18) - 2). Suppose 0 = l*i - 577 - 273. What is the smallest common multiple of 25 and i?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 - 534*d**2\/11 - 3216*d + 35912\/11.\nAnswer: -2*(d - 1)*(d + 134)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7706 (base 16) to base 7\nAnswer: -154556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7003, -28078, -63205, -112384, -175615?\n\"Answer: -7026*t**2 + 3*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m + 5. Let p be (-2)\/6 - (m - -3). Let q = 2.4 - -0.6. Which is greater: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -75. Let j be (x\/(-2))\/(10\/180). Calculate the highest common factor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3) - ((1 + sqrt(3))*-1 + sqrt(3))))**2 + -1 - (sqrt(3) + sqrt(27)\/sqrt(9) + 4 - ((sqrt(15)\/sqrt(5) - sqrt(3)) + -1))**2.\nAnswer: -2*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 18 = 3*f, -61*f + n - 9*n + 14 = -56*f + 10*n for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.87596ml to litres.\nAnswer: 0.03387596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*f + 17 = 0, 2*z + 1 = 2*f - 1. Solve 9*c - 4*c + 4*m - 8 = 0, -c + m - z = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16886 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 204.89?\nAnswer: 204.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + x**4 + 9*x**4 - x**3 + 2*x**4 + x**3 + (-4 + 5 + 0)*(2*x**2 + x**4 - 2*x**2).\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/36)\/((-3)\/(-20)*180\/216)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 30 - (-1 - 2) - -1\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1810 = 2*j + 3*j. Let p be (-20)\/(((-16)\/j)\/4). Round p to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -679\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/443, 0, 24216?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 2*g + 4. Let t be h(2). Which is bigger: -7\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-37)*(-1 - 1). Let x(d) = -3*d - 23. Let m be x(-8). Is m <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**4 + 4314*i**2 + 3584*i - 2?\nAnswer: -12*i**2 + 8628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -0.031, -0.5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*4\/(-72)*(-7 - -9)\/2. Let h = 109432 + -16961729\/155. Let o = h + -9\/31. Which is the third smallest value? (a) o (b) -0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/560 and -9\/64.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 508 = 2*o - 4*o, -3*x + 507 = 3*o. Differentiate -x - 101*y - 65*y - 49*y + 81*y wrt y.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 72 = -2*q, 0 = -4*u + 4*q - 37 + 117. Let h be (2\/u)\/(2\/(-4)). Let g = -2.45 + 7.45. Which is the second biggest value? (a) h (b) g (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -k - 0*k. Suppose -2*s + 4*s = k. Suppose 0*a + s = 2*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -1. Let j be -3 + 3\/(6\/(-4)). Let t(o) = 40*o**2 - 2*o + 5. Let w(i) = 15*i**2 + 4. Let u(p) = t(p) - 3*w(p). What is j*n(z) + u(z)?\nAnswer: -5*z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*l - 2*f, -l - 3*l = f - 18. Calculate the smallest common multiple of 3\/((24\/124)\/2) and l.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h + 12*h + 21. Suppose 2*g + 70 = 7*g. What is the highest common factor of g and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10501079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -80.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/(n\/(n\/(n*n**(-2\/17)))) assuming n is positive.\nAnswer: n**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8447 - -19?\nAnswer: 8466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15640, -15639, -15638, -15637, -15636?\n\"Answer: y - 15641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-310)\/100)\/(-31)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2 + 2)*(-2 - 9 - 12) + 1 - 2*b - 1 + (-3 + 4 + 0)*(-2*b + 1 - 1).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13149 + 5399 = 4*n. Let g = -8037 + n. What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = 5*k - 14*k - 756. What is the smallest common multiple of k and 196?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5063898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/(-48)*(-1 - (-2)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*w - 209 = 743 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(176) + sqrt(44)\/sqrt(4)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/10)\/(m*m**10*m))**42)**(2\/5) assuming m is positive.\nAnswer: m**(-5082\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u\/(u\/(u*u**(2\/31))))\/u)\/(u\/(((u\/(u\/(u**(-5)*u)))\/u)\/u)*u))**0)**(-1\/4))**32 assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**4\/8 - 6*l**2. Let c(d) be the third derivative of d**4 - d**3\/6 - 8*d**2 + 9. Determine c(z(y)).\nAnswer: -72*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + sqrt(204) + (sqrt(204) - (sqrt(204) + -3*sqrt(204)) - sqrt(204))*-2))\/sqrt(12).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {p: 5, w: 1, j: 2, g: 1, t: 3}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.64 + 4.44. Which is the smallest value? (a) s (b) -2\/3 (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 3, -3079, 10, 1.8, 1?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150*i + 312*i - 254*i)*(10 + 0 + 11).\nAnswer: -1932*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 1\/3, 0.13, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 7588.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.44 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/117 + (-10904)\/7917?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 4, n: 6}. What is prob of sequence yyy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 3*y)*(2*y - 3*y + 0*y - 3).\nAnswer: 2*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:50 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2595205?\nAnswer: 5, 23, 22567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 - 4*b - 10. Let w(m) = -m**2 + m - 1. Calculate t(o) - 10*w(o).\nAnswer: 4*o**2 - 14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-4*z + 2*z + z)*(1 + 3 + 2)*(-1 + 3 - 3).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3 - 2. Let i = y - 2. Suppose 0 = -98*s - 35*s - 68 - 65. Is s less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.829189 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 308 = -7*x + 4*u, -4*x = u - 298. Let z = -17 + x. Let y = z + -33. Solve -5*n - y = -2*n + 4*q, q = 2*n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*h + 4583 + 5189 = 86*h. What is the remainder when h is divided by 72?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10 + 20. Suppose -m - m = -r. Suppose 0 = 3*v + 2*s + m*s - 55, 0 = 3*v + 4*s - 50. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1474\/(-14) + (-6 - (-176)\/28). Let p = -106 - s. Which is greater: 4\/17 or p?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(720) + (6*(0 + sqrt(720) + sqrt(720)))**2 - (((0 + sqrt(720))*-3)**2 - sqrt(720))) + -1).\nAnswer: 72*sqrt(5) + 291597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 10*u - 3928. What is the second derivative of -11*t**4 + 982 - u + t**4 + 25*t wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273 (base 15) in base 4?\nAnswer: 1302030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 35*h + 0*h**5 - 25\/42*h**7 - 20\/3*h**3 + 0*h**6 + 0*h**2 + 0*h**4 + 0. What is the second derivative of l(a) wrt a?\nAnswer: -500*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**17*i**1 assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 - -125. Let t be ((-20)\/(-1 - l))\/(12\/(-6)). Put t, -1, -3 in ascending order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 - -0.206. Let u = k - 0.086. Which is the nearest to u? (a) -4 (b) -0.7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o + 107*o = 52*o + 23303. Does 266 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44650 and 76375.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15972385*j + 195800. Let f(w) = -19574*w - 240. Calculate 4895*f(c) + 6*t(c).\nAnswer: 19580*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36832 divided by 8.\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 4*b**2 - 38*b - 2. Determine f(9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1200 + -1263.7. Let m = 69 + f. Let j = 5 - m. Is -0.1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5079, -10091, -15099, -20085, -25031, -29919, -34731, -39449?\nAnswer: -44055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 200 = -86*y + 340. Solve -4*h + 11 + 10 = -5*z, y*h - 21 = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*b**2 - 58*b + 10829?\nAnswer: 42*b - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 140\/16 + 8 + 3\/(-4). Is ((419\/(-5))\/1)\/(o\/(-80)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 367409298 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-371)\/53*6\/16*(-8720)\/(-218).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((16 - 1 - 1) + (-50 + 77 - 29))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2660 and 380.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 2*y + 0*y)*(3465 - 3415 - 2240)*(-3 - 3*y**2 + 3) to the form q*y**2 + s + k*y**3 + h*y and give k.\nAnswer: 6570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.7 + 45. Let x = h - 2. What is the closest to -2 in -3\/5, x, -0.2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21077698.\nAnswer: 2, 10538849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77103358?\nAnswer: 2, 881, 43759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 14. Suppose 19 = -3*s - 5*k, -5*s + 9 = z*k + 32. Let m(y) = -13*y + 1. List the prime factors of m(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-14 + 34) - (-5 + (-1 - -6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let w(o) = 30*o. Let a(j) = w(j) - 36*z(j). Let h(r) be the first derivative of 3*r**2 + 7. Give a(h(t)).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 8*r**2 - 3*r - 5. Let u be (14\/4)\/((-2)\/4). Is q(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 0*r**2 + 7 + 0*r**3 + 0*r**4 - 2*r + 9\/5*r**5. Differentiate j(a) with respect to a.\nAnswer: 36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 4*a**2 + a + (-a - 2*a + 0*a)*(-2*a + 4*a + 0*a))*(a - 2*a - a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10010000001 (base 2) to base 5\nAnswer: -14103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 20 = 3*x + q, 4*x = 5*q + 9. Suppose -3*k + x + 0 = 0. Factor -2\/11*v**3 + 2\/11*v + 0 + 0*v**k.\nAnswer: -2*v*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96688170 divided by -951.\nAnswer: -101670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.641 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = -43. Let f = x + 14. Put f, -0.4, -0.1 in decreasing order.\nAnswer: -0.1, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006746135 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*-40*(-24)\/840?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + u + 1. Let z(b) = 2*b**2 - 2*b - 2. Let q(g) = -2*r(g) - z(g). Let w(p) = 116*p - 2. Calculate q(w(d)).\nAnswer: 26912*d**2 - 928*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5*t + 10*r**5 - r**2*t + 31468*r*t wrt r.\nAnswer: -20*r**3*t + 200*r**3 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -123?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 22 (b) 1\/12 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 + -219.5. Let m be (13\/(-168))\/((-7)\/((-406)\/(-8))). Let w = 21\/32 - m. Which is the second biggest value? (a) w (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/5 + 272*s**2\/5 + 2730*s = 0.\nAnswer: -39, 0, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12665, 25318, 37985, 50672, 63385?\nAnswer: 76130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2790 and 260555?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + p - 4, -5*f - 5*p - 13 = -3. Suppose 4*d**4 + d**4 - 6*d**3 + 3*d**2 - f*d**4 = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvv when three letters picked without replacement from dkqaqvvqvqqkvvs?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3194 in 4, -3, 0, 55?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kewcaekckkakeck. Give prob of sequence ee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/1334 + (-31)\/(59334\/(-2220)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -828 + 1283. Let k = -186 + s. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -237 + -1726?\nAnswer: -1963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 1\/120*q**5 - q + 0*q**2 + 0 + 1\/6*q**3 - 3\/8*q**4. Let f(s) be the second derivative of r(s). What is f(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.4 - -0.4. Let m = 37747 + -113239\/3. What is the second biggest value in m, 0.26, h, 0?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 - 2*x + 1. Let a(r) = 2*r - 26. Let h be a(12). Determine j(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18c4b6cb + -3?\nAnswer: -18c4b6d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 + 4*c**2 - 6*c + 4. Let o be k(4). Suppose 213 = x - 4*x. Let t = x - o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - 2*z**3 - z**3 + (-5 + 5 - 2*z)*(-4*z**2 + 2*z**2 + z**2) + (4*z**2 - z + z)*(-4*z + z + z).\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124483 or 123382?\nAnswer: 123382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 943.7358 microseconds to milliseconds.\nAnswer: 0.9437358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16201910 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 3 - 3)*(1 - 2*u - 1)*(-3*u + 4*u - 5*u).\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - -2 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-10))\/((-2)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64858*f**3*l**2 + 50*f*l**2 - f + 4*l**2 - 1 wrt f?\nAnswer: 389148*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 452534340?\nAnswer: -452534323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 6*s + 75. Let c be (-3 - 7\/(-2))*-6 + -3. Let z be a(c). Solve 0 = -3*j - z*u + 15, 3*j + 0*u - 3*u = -9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lemay. What is prob of picking 1 e and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -132\/101 + 10319\/8282. Let f = g - 1897\/492. Calculate the common denominator of f and 151\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 18448*a - 1261. Is b(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbvbbcr. What is prob of sequence rrc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -661, -1320, -1979, -2638?\n\"Answer: -659*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 3361020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-21))\/((-1)\/3). Suppose q*a = -a - 6. Let k be a*10*2\/(-8). Solve 6 = v + 2*t, -v = k*t - 6 - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let w(n) = -n**2 - 3*n - 2. Let s(v) = w(v) + 2*z(v). Let b be s(-4). Solve b = -4*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 - 15*m + 20. Let z(g) = 7*g**2 + 31*g - 40. Let f(b) = 9*i(b) + 4*z(b). Let l be f(8). What is the hundreds digit of (l\/10)\/(2\/(-660))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*w + 16, 3*z - 2*w = -0*z + 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8138518046 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/15 (b) -2\/53 (c) -16 (d) -4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55780686.\nAnswer: 2, 3, 13, 127, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/27)\/(13\/(-351)). Solve -28*o - i = -30*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 1 - 1)*(2 - 34 - 3) + (-4 - 4 + 5)*(-o - o + 3*o) + (5*o - 1 + 1)*(2 - 5 + 0) in the form y*o + p and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7711 = 7688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22221 - -22221.1. What is the smallest value in 4, d, -2, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2124, 2129, 2136, 2145, 2156, 2169, 2184?\nAnswer: 2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.9981. Round m to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 235 = -340. Suppose 27189*c = 27183*c + 216. Calculate the remainder when y is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4667 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: How many minutes are there between 7:59 PM and 3:23 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-18) - (-2493)\/(-6). Let c = -221 - w. What are the prime factors of c?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m + 3. Let h(b) = -5*b**2 + 11*b - 11. Suppose 122 = 5*w + 3*p, -3*p + 34 = -3*w + 4*w. Calculate w*l(i) + 6*h(i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 684 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5037583.\nAnswer: 823, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(1584)*-5 - (sqrt(1584) - (sqrt(1584) + sqrt(1584) + 1 + sqrt(1584)))*4))**2 + (4 + 2*sqrt(1584))**2*5*-6.\nAnswer: -184143 - 6192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 6. Let r be v(-4). Suppose 0 = r*c - c - 4. Suppose c*i - 4 = -16. Sort 0, -17, i.\nAnswer: -17, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7139*s + 2222 = -7140*s + 24640. Is s a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*f - 57*f - 7*f + 55158907. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1340*c + 96. Let n(a) = -447*a + 34. Give 6*k(z) - 17*n(z).\nAnswer: -441*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 0.229, 5.\nAnswer: -1, 0, 0.229, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 133574*m + 3873649. Determine s(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 6. Suppose s - n = -s. What is the remainder when -4*s\/(-12) - -44 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 225*k - 410. What are the prime factors of f(4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -85.1. Which is the nearest to v? (a) -4 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4061*w - 20. Let x(h) = 5*h + 3. What is -u(k) - 6*x(k)?\nAnswer: 4031*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -35*d - 7. Let q(b) = 12*b + 2. Let s(a) = 7*q(a) + 2*x(a). Let l(m) be the first derivative of m**2\/2 + 38. Give l(s(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2069, 11230, 26519, 47954, 75553?\n\"Answer: 3*n**3 + 3046*n**2 + 2*n - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:51 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -637, -2578, -5813, -10342, -16165?\n\"Answer: -647*p**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 i when four letters picked without replacement from imsbysibisyioib.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 37, -15, 349, -1 in ascending order.\nAnswer: -15, -9, -1, 37, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/254 and -25\/62.\nAnswer: 7874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6523 is divided by 145.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/100 - (-21)\/(-8)*-2. Let h be (-820)\/(-400) - u\/4. Let g = 12 - 7. Which is the third biggest value? (a) h (b) 0.01 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 258, 374, 490, 606, 722?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11)*s*s*s\/s**18*s*s)**(13\/8) assuming s is positive.\nAnswer: s**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 7*m**2 - 10*m - 15. Give x(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*n - 30\/7*n**3 - 324\/7 - 162\/7*n**2 - 2\/7*n**4 = 0. Calculate n.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s + 44*s + 480 + 580 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j\/(j**(-1)\/j))\/j*j*j)*j*j)\/j**(-1))**(-4\/7)*((j*j**0*j)\/j**0)**(20\/7) assuming j is positive.\nAnswer: j**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 286 and -5?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -22*y + 172. Give r(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/18)\/((-3)\/63). Suppose k*a - 5*a - 16 = 0. Let r(f) = -f**3 + 9*f**2 - 5*f + 1. Is r(a) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 4*h - 2 + h**3 - 49*h**2 + 43*h**2. What is the smallest common multiple of 7 + (0 - 1) + -1 and r(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxqq when four letters picked without replacement from yxyqqxxqxxyqxyxq?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 7. Suppose o = -2*a, -22 = -5*h + 2*a + a. Suppose h*u = -2*m - 2, 4*m = m + 5*u + 29. Let y(g) = -g**2 + 3. Determine y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 69 - 43. Suppose 176 = 3*d - p. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**4 + i**4 + 6*i**4)*(((1 + 3 - 1)*(3 - 3 + 2) - 39 + 21 - 51)*(2*i - 4*i + 4*i)*(-2 - 7 + 1) + (0 + 2 - 4)*(-i + i + 4*i)).\nAnswer: 3000*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggtgt. Give prob of sequence tt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 6, 8, 10, 12, 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138843642.\nAnswer: 2, 3, 7, 227, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y\/(y\/y**(-2\/23)))\/y)\/y)\/y)\/(y*y**(-12\/7)))\/(y**18\/y*y\/(y\/(y**0\/y))*y) assuming y is positive.\nAnswer: y**(-3119\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 15*m**2 - m - 12. Suppose -4*c = 10*c + 210. What is n(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1276 and 1363472?\nAnswer: 39540688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 567210 divided by -10?\nAnswer: -56721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19686886 is divided by 246?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/4908995 and -26\/35?\nAnswer: 4908995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4964 - 624 = 0. What is the remainder when g is divided by 63?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2015815 is divided by 83991.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-1\/9)*b)*b*((b*b\/b**(-6)*b*b*b*b)\/b)\/b*(b*(b**1\/b)\/b)\/b**(-4) assuming b is positive.\nAnswer: b**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.7 times -742?\nAnswer: -65815.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -18*t + 13*t + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34838*d**2 + 75366*d wrt d?\nAnswer: -69676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6609\/8 + 837. Find the common denominator of 45\/928 and d.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**5\/20 + c**4\/3 - 5*c**2\/2 - 3*c - 12. What is i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1969*g**3 - 2354*g**3 + 4233*g**3.\nAnswer: -90*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 20*w - 621. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3421 (base 6) to base 11\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 4*k + 4. Determine r(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34, -175, -532, -1043, -1714, -2551?\n\"Answer: -d**3 - 68*d**2 + 2*d + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (136\/(-6))\/(14\/(-7644)*4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 4*v + 21, 4*x = 3*v + 32. Let k(i) = 2*i**2 - i + 5*i**2 + x*i**2 + 4*i**2 + 1. Is k(1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3\/7 + 30*u**2\/7 - 57*u\/7 - 90\/7.\nAnswer: -3*(u - 6)*(u - 5)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 125 + 697. List the prime factors of g.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-16) - 235\/(-200). Let j be (-3 - (-14)\/6)*2\/4. What is the nearest to 0.1 in s, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -0.08 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 + 3.65. Let y = r - -8.85. What is the second smallest value in 2, y, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2269 - -1348. Let g = x + 3643\/4. Let h = -16\/23 + 561\/46. Calculate the common denominator of h and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = -4*g + 2370. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by -2 - 40\/(-22) - 5486\/(-286).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 59 = -3*w, 3*g + 18*w = 20*w + 24 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -171*n**8\/28 + n**4\/12 - 61*n**2\/2 - 157*n. What is the third derivative of h(x) wrt x?\nAnswer: -41040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 3*t + 4. Let h be j(-3). Let p = 0.545 - -1.455. What is the closest to 7 in h, -0.5, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1707 - 1715. What is the nearest to -3\/4 in -1, 1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -273 - 103*z + 104*z - z**3 + 542 + z**2 - 270. Let a(i) = -4*i**3 - 2*i**2 + 5*i - 6. Calculate a(u) - 6*l(u).\nAnswer: 2*u**3 - 8*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 10f13a?\nAnswer: 10f139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2951 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8069, -17512, -26957, -36404, -45853, -55304?\nAnswer: -64757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -740, -3\/2, -5 in descending order.\nAnswer: -3\/2, -5, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 19725?\nAnswer: 177525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*z + 538 - 538 - z - 2*z + z + (-3 + 4 + 2)*(-z + 2*z - 2*z) - z + 1 - 1 to v*z + j and give v.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1257 and 57765?\nAnswer: 24203535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + b + 33 + 16 - 18.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -2*sqrt(3) + 4 + -3 + 2*(sqrt(3) + 2) + 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -v - 4*a, -4*v + 2*a = v - 27. Let j be (-5196)\/18 + -5 + 20\/12. Let d = j - -320. Calculate the greatest common factor of d and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -66 - -79?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -493 - -499. Solve 18*d - 4*f + 12 = 17*d, -5*d + 2*f = u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22994*f**2 - 28966*f**2 - 104 - 29086*f**2.\nAnswer: -81046*f**2 - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2853686 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85229457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8182 - 0?\nAnswer: 8182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4454*t + 546195 - 11715 = 0 for t.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9609210 to the power of 1\/2, to the nearest integer?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6) + sqrt(6))*4 - (sqrt(6) + sqrt(42)\/(sqrt(7)*1)))\/(-2*6*(sqrt(3) + (sqrt(3)*3 - sqrt(3)))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + -1 + sqrt(108))*1 + (1 + 1*sqrt(108) - (sqrt(108) + sqrt(108) + 1 + 3 - sqrt(108))))**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 8*c - 4*c)*(-c - 1 + 1)*(6*c - 7*c - 8*c).\nAnswer: 54*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3505, 7009, 10525, 14059, 17617, 21205?\nAnswer: 24829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 200 in -1, -6\/7, 0, -1432?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**3\/3 - 24*l. Calculate j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n + 152 = -3*j, 13*n = 11*n - 5*j - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(4896) - sqrt(4896)*4) + sqrt(4896) - sqrt(4896) - sqrt(4896)) + sqrt(4896) + sqrt(34) + sqrt(34))\/(sqrt(2)*2*-4))**2 + -3.\nAnswer: 4865\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*w - 2. Let p(x) = -4*x - 4. Let b(d) = -17*d - 17. Give w*b(a) - 9*p(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 3375\nAnswer: 337.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 3\/2, 6 in ascending order.\nAnswer: 3\/2, 6, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6 - h**3 - 813*h**2?\nAnswer: 120*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177487824 divided by -387528.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248225 and 4950.\nAnswer: 49148550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**2\/2 - 3*a + 3. Give s(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -77*z + 8. Let l be u(-13). Suppose 515 = 6*k - l. Suppose k = 7*p - 187. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38909096 not equal to -38909093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (163*p - 71*p**2 - 163*p)*(26*p + 7*p + 0*p)*(2*p + 0*p - p).\nAnswer: -2343*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 + -45. Let y = u - -102. What is the highest common factor of 24 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 3*m**4 + m**4 - 5*m**4 + 21*m + 13 - 14 + 12*m to y + r*m + p*m**3 + w*m**4 + v*m**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 7)*(d - d - d**4).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**9\/504 - 3*a**5\/20 - 7*a**2\/2 - 6. Let g(t) be the second derivative of q(t). Find the third derivative of g(d) wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 6*r**2 - r. What is k(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2987 + -2992. Sort -40, j, 5 in increasing order.\nAnswer: -40, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -101*v**2 + v - v - 3 + 105*v**2 - 2*v. Suppose -40 = 10*f + 20. Let a(n) = 17*n**2 - 9*n - 13. Let s(y) = f*a(y) + 26*w(y). Factor s(u).\nAnswer: 2*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 29*h - 24292 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**4\/4 - 3*v**3 + 13*v**2\/2 + 5*v - 213. Let d be (44\/16)\/(1\/(-4)). What is the tens digit of j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 7*o**2 - 9*o + 11. Let t be b(8). Let l be 5 + 0\/t + -1. Solve 8 - 4 = -l*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 1. Let s(h) = -2*h + 14. Let k be s(6). What is x(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -0.01. Let c = 2\/2203 + 1815\/427382. Let f = c + 371\/3298. Put f, x, 0.2 in descending order.\nAnswer: 0.2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -27, 2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7\/(-1) + 6)*(-3976)\/7?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = -2*u, -3*u + 6*g - 4 = 2*g. Which is smaller: 3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -46*r**2 - 12792*r - 826496 = 0.\nAnswer: -176, -2348\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4324833 - 4324829.000198. Let z = 4 - k. Round z to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -41 - (65 + 21 - 89)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9014 + -1940. Suppose -w = s - 7*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/30)\/((-3122)\/20070)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-33) + 2\/6. Let q(x) be the first derivative of 0*x - 1\/2*x**2 - w*x**3 + 1. What is the second derivative of q(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.95618 and 5?\nAnswer: 9.7809","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(8\/5)*i)\/i**(-2\/3))**(1\/5) assuming i is positive.\nAnswer: i**(49\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -40?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o - 40. Let n(p) = -p + 2. What is 8*n(k) + r(k)?\nAnswer: 4*k - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) -4\/3 (b) -2\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8542, 14441, 20340, 26239, 32138?\n\"Answer: 5899*a + 2643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -45. What is the closest to 0.1 in k, 0.06, 4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658, 892, 1128, 1240, 1102, 588?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2148, -17678, -59894, -142140, -277760, -480098, -762498, -1138304?\n\"Answer: -2224*m**3 + m**2 + 35*m + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 6, i: 2, l: 1, k: 7}. What is prob of sequence ik?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43329, 43414, 43487, 43542, 43573, 43574?\n\"Answer: -u**3 + 92*u + 43238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-62)\/4)\/((-2)\/(-8)). Let f = 119 + y. What is the highest common divisor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:35 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 10) + -2 + 0 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = 4*v, -5*v = -2*v + 5*u - 1. Let t = 2 - 2. Suppose 2*l - 8 = -4*r, -4*l - 2*r = -t*l + v. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ba41f (base 16) in base 8?\nAnswer: 16722037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 4, -2, -4 in descending order.\nAnswer: 4, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 - 13*d - 4. Let a(y) = -7*y**2 + 14*y + 3. Let v(u) = -5*a(u) - 6*j(u). Let n be v(9). Solve -6*i + 4*i = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 3\/4, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 94949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + 2*o)*(1 - 4*o - 1) + 0*o**2 + 2*o**2 - 4*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-64)\/36 - -2)*18. Solve 35 = 13*z - f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188358174, 376716348, 565074524, 753432702, 941790882, 1130149064?\nAnswer: 1318507248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = v. Suppose -u + 4*u = o, -v*o + 55 = 5*u. Let y be ((-1)\/o)\/((-8)\/(-20)). Which is the closest to -0.1? (a) -1\/3 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46015?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 256004509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 - c**4 + 2*c - 3*c + 0*c**4 + (143*c - 529*c + 1036*c)*(-6*c**3 + 0*c**3 + 0*c**3).\nAnswer: -3901*c**4 + c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5291*d - 4191*d**4 + 1531*d - 117*d**5 + 33732*d**2 + 658 - 15422*d**3 - 3592*d - 2674 - 8984*d**3 = 0.\nAnswer: -28, -9, -2\/13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 + -1.27.\nAnswer: -2.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = 3*x - d, -d + 33 = 5*x. Solve h + x = -0*b + 3*b, 3*b = 3*h + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {j: 2, m: 1, l: 2, p: 1, t: 7, i: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2123*j**2 - 14*j - 50*j + 7*j.\nAnswer: 2123*j**2 - 57*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 625812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42965.23 centuries?\nAnswer: 4296523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*f + 2*f + 167, -2*y - 2*f = -168. Let v = y - 49. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:49 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-24 - 39196\/2173).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -8)*20*(6\/8)\/(-3). Solve -9*s = 5*p - 5*s + 28, 0 = -4*p - i*s - 26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - -0.2. Let q = 8\/33 - -1\/11. What is the closest to -0.1 in p, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0487 + 0.0513. Which is the smallest value? (a) -10 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -0.3, 0.2, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 2*f + 2*f)*(6*f - 2*f - 3*f)*(17*f - 15 + 15) as m*f**2 + b*f**3 + h*f + u and give b.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 + 1296*w**2 - 4*w\/3 - 5184.\nAnswer: (w - 2)*(w + 2)*(w + 3888)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*w - 11667*w**2 + 189*w + 181*w - 553*w.\nAnswer: -11667*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**5\/60 + 7*m**4\/24 + 2*m**3\/3 - m**2. Let s be q(-5). Let u be 0 + 1 + (-2)\/s. What is the second biggest value in 4, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -25, -11, -36, 3, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 18 = 6. Let t(q) = q**2 - 5*q - 3. Let h be t(i). Solve -4 = -b - h*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0, -2, -16, -4, 235 in descending order.\nAnswer: 235, 4, 3, 0, -2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 2*n + 4. Give r(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 25\/3*d**3 - d**5 + 0*d**2 + 0*d**4 + 21 - 20*d. Determine r, given that z(r) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 6. Let v be d\/4 - 45\/(-20). Let u(t) be the first derivative of 3*t**2\/2 - t - 2. Determine u(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4.8, -1, -0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312394478, -624788955, -937183432, -1249577909, -1561972386?\nAnswer: -1874366863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 664 and 568384.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -877, -7, -10 in ascending order.\nAnswer: -877, -10, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -36 (b) 2\/11 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.038, 2\/37, -0.2, -0.05, -9?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 26*g + 14796*g**2 + 49 + 6*g - 14795*g**2.\nAnswer: g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 71846591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(88\/(-1200)*20)*(-80)\/(-6).\nAnswer: 60\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608\/51 less than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/36*64\/(-120)*3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 3*m**5\/4 - 5*m**4\/4 + 49*m**3\/6 - 5*m**2 + m + 43. What are the prime factors of z(5)?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a**(-15)\/a))*a)\/a)\/a*(a\/a**(3\/14))\/a*(a**26)**(1\/11) assuming a is positive.\nAnswer: a**(-2287\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 62\/1 + (-10560)\/(-352).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -232484680*f**2 + 164241231*f?\nAnswer: -464969360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/120 - j**4\/24 + j**3\/3 + 2*j**2. Let u(b) be the first derivative of z(b). List the prime factors of u(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -684939855 and -88.\nAnswer: -684939943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 - 0 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 11*n**2 + 17*n + 4. Let a be w(-9). What is a rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/42970 (b) -5\/6 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 6*p + 1118*p**2 - 558*p**2 - 561*p**2 - 609*p**3 to n*p**2 + i*p**3 + z*p + b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 13. Is -4 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1745 and 0.4.\nAnswer: 1745.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o + 3. Let u be 0 - ((-54)\/126 - 24\/(-7)). Let c be u\/(0 - -6 - 9). Give g(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 x when two letters picked without replacement from {x: 1, h: 2, a: 2, b: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 20 = -160*j + 143*j. What is r in 0 + 4\/7*r + 2\/7*r**j - 2\/7*r**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -35\/12, 1 in decreasing order.\nAnswer: 4, 1, -35\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087320?\nAnswer: 2, 3, 5, 13, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((3 + -4)*-2). Let i = 3 + b. Suppose -i*x - x - 48000 = 0. What is x rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/21 + (-4 - 75\/(-21))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**3 + 3*c**3 + c**3)*(647 - 647 - 44*c) + (-1 + 1 + 1)*(-c + c - c**4) + (-c - 2 + 2)*(c + c**3 - c).\nAnswer: -90*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -63*y**2 + 8190*y + 3. Determine m(130).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -19*v**3 + 2*v**2 - 1. Calculate the least common multiple of j(-1) and (-9)\/12*(1 + -17).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53955\/605 - (4\/22 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9631361 to the power of 1\/3, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/270*(-24)\/126*3096\/48?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + -1 + sqrt(1539) + -1) + -1)*-4.\nAnswer: -72*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/80 + i**4\/32 - 3*i**2. Suppose t(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9dc6 (base 16) to base 2\nAnswer: 1001110111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23110, -23154, -23222, -23314, -23430, -23570?\nAnswer: -23734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 24 + 3*a + 0*a)*(-2*a + 1 - 1).\nAnswer: 2*a**2 - 48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s + 6. Let i = s - -5. Suppose 20 = -4*p, -5*b - i*p = -7*p - 35. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51109058 divided by 521.\nAnswer: -98098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20630, -30962, -48164, -72230, -103154, -140930?\nAnswer: -185552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*v + 27*v - 14*v + 19)*(13*v**3 + 4*v**3 - v**3).\nAnswer: -16*v**4 + 304*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -58*t + 872. Give x(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 55399.\nAnswer: 553990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 980 + -980.00002347. Round j to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892 (base 14) to base 6.\nAnswer: 11504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 + -5.13. Let u = b - -4. What is the second smallest value in u, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.755 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166385016?\nAnswer: 2, 3, 7, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1009397918 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -176.3 * -172712.\nAnswer: 30449125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.132 - -0.068. Suppose -20 - 4 = -2*y. Let q be -4 - 2\/y*-26. What is the closest to 4 in a, -1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -3*s + 73, s - 220 = -a - 189 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 + 7568*i**4\/5 - 12748*i**3\/5 - 126728*i**2 - 313010*i + 332200 = 0 for i.\nAnswer: -5, 4\/5, 11, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1600 times 0.08?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/624588 and -83\/9052.\nAnswer: 624588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-6) + (-11)\/15. Let r = -139 + 95. Let s be r\/16 + (-5)\/20. Sort s, -0.5, p in increasing order.\nAnswer: s, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362706 (base 9) to base 7\nAnswer: -1600104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*m - 917 = 123 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2037 + 2026. Let a be ((-6)\/4)\/(156\/16). What is the nearest to a in -0.4, 2\/9, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-55)\/132*-8)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:28 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100202 - 10002?\nAnswer: 20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/6 - q - 24. Let b(f) = f + 124. Give d(b(g)).\nAnswer: 2*g**2 + 496*g + 30752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (5 + 4)) + 0 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 10:38 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g + 39. Let m be y(-10). Let p(k) = -k - 1. Let d(w) = 231*w**2 + 17*w - 8. Let r(u) = m*p(u) + d(u). What is the second derivative of r(s) wrt s?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 1 + ((15 - 47) + -38 - -54).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 2\/15, 1906, 0.5, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48988 + 87639. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/5))**(10\/13))**(2\/5) assuming j is positive.\nAnswer: j**(-16\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/5*n**2 - 18\/5*n + 8\/5 - 1\/5*n**4 + 0*n**3.\nAnswer: -(n - 2)*(n - 1)**2*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9740873 * -2\nAnswer: -19481746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -566 (base 11) to base 8\nAnswer: -1245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m*m**3\/m)))\/m)**(11\/8)*(m*m**(-5)*m)\/(m\/(m\/m**(-16))) assuming m is positive.\nAnswer: m**(137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002938 to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -18. Calculate the remainder when 496\/10 - 24\/(-60) is divided by ((-12)\/z)\/16*52.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53490315.\nAnswer: 3, 5, 1061, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(84\/(-18)))\/((-24)\/(-20))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ethn when four letters picked without replacement from {h: 2, e: 3, t: 2, w: 2, f: 4, n: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-1)\/(-2))\/9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -24*q**4 - 147*q + 69. Differentiate h(d) with respect to d.\nAnswer: -288*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 2*q**3 + 0*q**3)*(-18 - 2 - 39).\nAnswer: 59*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*y**2 + 10*y**4 + 3*y**2 + 4*y**4 + 6*y**4 wrt y.\nAnswer: 480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 0.03 (b) 0 (c) 0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + n**2 - 2 + 3 - 3*n**2 - 2*n. Let j(t) = -3*t**2 - 3*t. Calculate 3*j(o) - 2*x(o).\nAnswer: -o**2 - 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469864 is divided by 234620.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -203480\/3 + 67827. Let -h**3 + 5\/3*h**2 - 2\/3*h - 1\/3*h**4 + 0 + n*h**5 = 0. Calculate h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (-9 + -2)*-1 + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491, -490, -499, -524, -571?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 195949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-10))\/(12\/(-32))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-140)\/(-6) + (-2)\/6. Calculate the least common multiple of a + -6 + (2 - 5) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411839658?\nAnswer: 2, 3, 673, 33997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -d2b?\nAnswer: d30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose -5*z + 17 = y. Is 17 - (2 + z\/(-3)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o - 4. Let t be z(-3). Let p = t - 2. Solve p = 2*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3)**(-2\/13))**(1\/7) assuming u is positive.\nAnswer: u**(-6\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 48971?\nAnswer: 4\/48971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 785465 and 60?\nAnswer: 9425580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 21*z - 109. Let r be c(26). What is the greatest common divisor of r and 490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 13*d = -105 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -5, 307, -16, -14 in increasing order.\nAnswer: -16, -14, -5, -1, 4, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/22, 0.4, 4 in ascending order.\nAnswer: -2, -3\/22, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(6\/5)*k)*k*k*k)\/(k*k**15*k)*((k*k*k**7*k)\/k)**18 assuming k is positive.\nAnswer: k**(746\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - 0. Let m = 21.8 + c. What is the closest to m in 0.1, 6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h + 423 - 403 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f**3 - 11*f**2 - 17*f + 1513. Let c(o) = -3*o**3 + 2*o**2 + 3*o - 303. Determine 11*c(l) + 2*s(l).\nAnswer: l**3 - l - 307","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*y, -3*w - 3*y + 127 = w. Calculate the remainder when 61 is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -99.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 181*l**2 + 12*l - 15. Is t(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -10 (b) -2 (c) -4 (d) 0 (e) 11 (f) -3 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*a**3 + 36 - 31*a**3 + 638869*a + 148*a**2 + 8*a**4 - 639001*a.\nAnswer: 4*(a - 3)**2*(a - 1)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*n - 228*n = 94*n + 5856 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/2126 and -49\/20.\nAnswer: 21260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1)\/(-9) + (-2)\/18. Put 4\/3, -13, i in decreasing order.\nAnswer: 4\/3, i, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 39*r**2 + 1190*r - 4749. Calculate m(4).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 52*a - 25*a + 6 + 45*a.\nAnswer: 72*a + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f. Let k(m) = 11*m**2. Let z(s) = -539*s**2. Let y(i) = 99*k(i) + 2*z(i). What is y(w(l))?\nAnswer: 99*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 24*q**3 + 4*q**2 + 2*q. Let g be x(-2). Let m be (4\/5)\/((-6)\/g). Suppose -m = -5*i + 1. Solve -5*l + 5*n = -39 - 6, -i*n = l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from rttttvrtxtrxrtrxtx?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147958 and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 - 35*f + 78. Determine q(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 10*f - 6. Give h(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2504702092.\nAnswer: 2, 626175523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -316*k**6 - 666*k**3 + 3593140*k**2 wrt k.\nAnswer: -37920*k**3 - 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g - 2*g**3 + 0 + 3*g + 2128*g**2 - 2*g - 4229*g**2 + 2 to s*g**3 + i + c*g + h*g**2 and give h.\nAnswer: -2101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(355\/120)\/(-71)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02418124682 - 0.077798.\nAnswer: -0.05361675318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 55*j + 6. Let p(h) = -10*h**2 - 110*h - 13. Calculate 13*m(u) + 6*p(u).\nAnswer: 5*u**2 + 55*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/3))**(-6)*j**1*j**(2\/17) assuming j is positive.\nAnswer: j**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -1\/4*g**4 + 3\/2*g**3 - 13\/4*g**2 + 3*g - 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k**2 - 3*k + 31. Let r(v) = -5*v**2 - 2*v + 30. Determine 4*n(i) - 5*r(i).\nAnswer: i**2 - 2*i - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1047489 or 1047503?\nAnswer: 1047489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, -1\/4, -11885, -0.0571 in increasing order.\nAnswer: -11885, -0.3, -1\/4, -0.0571, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 4*m**2 - m**2)*(2*m - m + 2*m) - m**3 - 2*m**3 + 2*m**3 - 10*m**3 + 17*m**3 - 9*m**3.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) -4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 15*v - 159. Let l be (-1725)\/(-920) - 71\/8. Give w(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6986\/(-1497))\/((-4)\/30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 1029*h + 10102. Determine o(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-15))\/((-637)\/(-1365))*28.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1dc4df (base 16) to base 11.\nAnswer: -1112855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 460458, 920853, 1381248?\nAnswer: 1841643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-2 + -1) - (-52 - -60).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37635 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14132247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + (sqrt(14)\/(sqrt(2) - (sqrt(2) - (sqrt(72) + sqrt(2) + sqrt(2) - sqrt(2)))) - sqrt(63)\/(sqrt(45)\/sqrt(5))))**2.\nAnswer: -60*sqrt(7)\/7 + 218\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4825, -4788, -4727, -4642, -4533, -4400?\n\"Answer: 12*v**2 + v - 4838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449704.\nAnswer: 2, 67, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2638 + 706. Does 7 divide (5 - (2 - 2))*y\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**6\/16 - 3*l**5\/40 - 3*l**4\/32 + l**3\/8 + 7. Find b, given that t(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 14424.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 26*n**3\/3 - n**2 + 1. Let g be w(2). Suppose -2*x + g = 5*a, 102 = 2*x + 6*a - 2*a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14*z. Calculate the lowest common multiple of 8 and m(1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.5, -1, 0.1, -4, -1\/66?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.8730322 - -3?\nAnswer: -11.8730322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from {a: 3, i: 4, w: 5}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(44))*-4 + -3.\nAnswer: -8*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -336 - 0\/3 - -1 - 3. List the prime factors of (-8)\/(-36) - 47\/9 - f.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*b**3*y**3 + 1752*b**3*y + 6*b**2*y**2 + 2*b*y**3 wrt y.\nAnswer: 414*b**3*y + 12*b**2 + 12*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/53784 and -121\/5184.\nAnswer: 430272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907646.9 years to millennia.\nAnswer: 907.6469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 3*f - 1. Let v(s) = -90*s**2 - 5*s - 2. Let j(o) = g(o) - v(o). What is the second derivative of j(l) wrt l?\nAnswer: 178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - 75\/20. Let x be 0 + (t - 14\/(-3)). Let v = 15 + -15.1. Which is bigger: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 0.2232143?\nAnswer: 0.5232143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -0.03548405432847.\nAnswer: 1.96451594567153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Suppose 2*s - q*m = 26, s - 3*m - 12 = -0. Suppose -3*i + s = 0, -y = -0*y - 3*i - 17. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2. Let y(w) = -4*w + 10. Let m(u) = -5*o(u) - y(u). Let h(f) = f. Determine 5*h(t) - m(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*-1*sqrt(78))\/(2*sqrt(18)\/sqrt(3)*-6).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -934, -1793, -2652, -3511, -4370, -5229?\nAnswer: -6088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -0.4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i - 10. Let q be k(8). Let w(h) = -3*h**2 + q - 22. Let p(x) = -12*x - 17*x + 71*x - 20*x - 21*x. Determine w(p(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-10)))**(-6\/11))**9 assuming f is positive.\nAnswer: f**(540\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4038, -32208, -108728, -257772, -503514, -870128?\nAnswer: -1381788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + (-4)\/(-4). Find the second derivative of -8 - k + 8 + 3*k**v wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.3, -1912, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -285090586 divided by -383702\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71 - 68. Solve 3*h = 2*r - 9 + 1, h = -d*r + 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 16. Let t(r) = 1 - 3 + 3*r + o. Calculate t(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 14*a**2 + 13*a - 12. Let o be -3*((-182)\/(-63))\/(4\/(-6)). Determine r(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*d - 3*d - 58, -5*d = 2*h - 155. Suppose 0*q - d = -q. What is the highest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(-4 + 1*sqrt(162) + -5*sqrt(162)*-1 + (sqrt(162) + 0)*3 + -3))**2.\nAnswer: -29970*sqrt(2) + 329419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 6 - 0. Suppose -o*f = -4*g - 137, -2*f + 54 + 40 = -4*g. Calculate the remainder when f is divided by ((-2)\/(-8) - (-366)\/(-24))\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*z + 259 - 259 as t*z + i and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*d**5*s**2 - 333*d**5 - 3*d + 182*s**2 wrt d?\nAnswer: 120*d**3*s**2 - 6660*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1282212 and 55\/408?\nAnswer: 43595208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**9*((a*a**(-4\/11))\/a)\/(a\/(a\/(a\/a**(3\/7)))))**(4\/15) assuming a is positive.\nAnswer: a**(24\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2712 and 1691949?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 2*p**3 + 2*p)*(-16*p - 2*p + 6*p + (2 + 2*p - 2)*(-6 + 2 + 3) + p + 4*p - 4*p) as f + h*p + n*p**3 + o*p**4 + y*p**2 and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k - 3366 - 16*k - 21*k + 24375.\nAnswer: k + 21009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + -34 + 24\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 216 = -215 + 191. Calculate the remainder when 761 is divided by u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216341*a**3 + 221*a**2 - 58*a - 2 wrt a.\nAnswer: 1298046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 880895, 880891, 880887, 880883?\nAnswer: 880879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/65748 and -119\/7780180.\nAnswer: 23340540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006577 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 j, and 1 d when four letters picked without replacement from djaawj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 4*l + 5. Suppose -u = -5*y - 16, 1 + 17 = -5*y + 3*u. Let k(m) = 2*m**2 + 5*m + 6. Determine y*k(t) + 4*c(t).\nAnswer: 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 4*c + 180*c**5 + 228*c**3 - 30*c + 392*c**4 = 0.\nAnswer: -1, -2\/5, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiel when four letters picked without replacement from {i: 5, k: 2, m: 1, l: 2, p: 8, e: 2}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w**3 + w**2 - 2*w + 3. Let m(b) = 7*b**3 - b + 2. What is 3*m(p) - 2*t(p)?\nAnswer: 5*p**3 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -45*i**5\/4 - 22*i**3\/3 + i**2\/2 + i - 103. Find the second derivative of v(n) wrt n.\nAnswer: -1350*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - 90. Let s = y - 37.4. What is the closest to -2\/11 in 0.4, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 62.60242 micrometers?\nAnswer: 62602.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*z - 30, -149*a + 148*a - 1 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 444653520 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let v(i) = 48*i - 54. Let n be (-69)\/23*2\/3. Determine n*v(u) - 108*h(u).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 8*l**2 + l - 4. Let h be n(8). Let m = h - -3. Let q(c) = c**2 - 5*c - 9. Let u be q(m). Solve -u = -g - 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5216.167 seconds?\nAnswer: 5216167000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10854624637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 3*l - 1\/20*l**5 + 4\/3*l**3 - 5\/12*l**4 + 5\/2*l**2 + 0. Give u(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*k**2 + 2291*k**2 - 606*k**2 - 615*k**2 - 590*k**2.\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-88)\/(-32))\/(-11))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 117*p + 6085. What is f(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -46. Let i = v - 33. Suppose -3*d + i = 11. Solve -3*m - 2*m = -d*c + 20, 2*m + 17 = 3*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*a = -1796*a + 98696 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11186 + 11347. Is 16 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4*(-30)\/9. Suppose 2*w = -2*w - 16, 2*w + 24 = -4*f. Sort f, s, 2\/3 in descending order.\nAnswer: s, 2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -19.809.\nAnswer: -435.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 + 2*n**3 - n**3)*(3 - 3 - 3*n) - 6*n**4 + n**4 + 2*n**4 to the form h*n**4 + v*n**3 + o*n + m + t*n**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*m**2 - 379 - 35*m + 5*m**3 - 21*m**2 + 179 + 305*m.\nAnswer: 5*(m - 10)*(m - 4)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Let n(u) = -u**3 - 8*u**2 + 3*u + 5. Let x be n(-8). Let z = -9 - x. What is the remainder when z is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 25*c + 4. Determine t(-27).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19744531.\nAnswer: 17, 1161443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 598290 and 0.088?\nAnswer: 598289.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -7. Suppose -w + 13 + 13 = a. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/42)\/(-1 - 4\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9\/34 (b) 3\/4 (c) -8\/3 (d) 2 (e) -2\/23 (f) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 0*n - 7 = -4*n, -4*n + 2 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -29, -0.15, -2 in decreasing order.\nAnswer: 5, 2, -0.15, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004157 is divided by 334715.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 + 2*w - 1. Let z be m(-2). Suppose 4*t + 4*a + z = -5, 3*t = a. Which is smaller: t or 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-2 + 6 + (-59 - -41)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 3. Let s = m - -5. Let w = s - 2.8. Which is the nearest to 1? (a) w (b) 2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (94 + -101)*(-6)\/7. Solve -122 = 29*t - l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/5 - 95\/(-722) and -68\/15?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45585662 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 13*s = 5*n - 26, 0 = -4*s - 4*n - 8. Let v(x) = -3. Let l(a) = 2*a - 15. Let i(w) = s*v(w) + l(w). Calculate i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-5\/8)*z**(-11) assuming z is positive.\nAnswer: z**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022321323 (base 4) to base 3.\nAnswer: -1001220110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*x + 78 = 85*q + 913, -4*q - 65 = -5*x for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*((-21296)\/(-18480) + (-6)\/(-45))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 1, a: 1, h: 1, m: 1, y: 1}. Give prob of sequence hzm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1239 = -57*s + 36*s. Calculate the greatest common factor of 531 and s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 38822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -142780 by 2.\nAnswer: -71390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 126 and -3.5?\nAnswer: 129.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p. Suppose 2*i - 9 = 7. Let t(l) = -13 + i + 3 + 18*l**2. Determine t(f(j)).\nAnswer: 72*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:52 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggkgggkkg.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780.7299 rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 253142367547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 2257347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1761732716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**9\/168 - 11*g**8\/336 - 1807*g**5\/30 - 967*g**2 - 2. What is the third derivative of r(w) wrt w?\nAnswer: -360*w**3 - 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 + -3 + 33\/(-3). Solve -2*x = -2*m + 6, 3*m + 6*x = o*x - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 + 24*n - 8. Let c be m(-8). Suppose -c = -4*r + 100. Suppose 2*a + x = 217, -4*a - 5*x - r + 508 = 0. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*r + 59*r + 30 = 0. Let b be 3 + (0\/(-4))\/r. Solve 2*f - b*m - 3 = -2*m, -m = 4*f + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57372744*x**2 - 1 + 1 + 57372751*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5920 and 10912.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 1. Let w = 9 + -7. Let h(o) = 4 - 3 - 8*o + w + 6*o. Determine -3*h(c) + 7*q(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1856 and 2436?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13088334 + 0?\nAnswer: -13088334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-9)*7\/(21\/(-45)). Solve b = -4*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11976 and 105?\nAnswer: 419160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.06, 3, -352, 2\/13, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710834 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*u - 114 = -248*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13314879878 + -29.8\nAnswer: 13314879848.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.8 + -9. Let z = -2 + m. Let i(w) = -4*w + 12. Let x be i(2). What is the closest to 0 in 5, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 19 = 5*t, d + t = -4*d + 35. Suppose 0 = 4*u - 6*u, -3*m + d = 4*u. Find the third derivative of -5*l**2 + l**m + l**2 - 3*l**2 + l**4 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136 - 132. Let q(u) = 14*u - 10. What is the remainder when q(y) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (4 + -6 + -5 + 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 2:56 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 + 82*s**2 - 22*s + 180. Give j(41).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*k = 31*k - 23542. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.085 and 1244.\nAnswer: -105.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/69 (b) -0.3 (c) 0.1 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-164)\/5)\/((-104)\/780)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(42\/10 - 4). Let d(u) = -u + 1. Let b(n) = -71*n + 22. Let a(k) = b(k) - 3*d(k). Is a(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 937, 1869, 2787, 3685, 4557, 5397, 6199?\n\"Answer: -b**3 - b**2 + 942*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 1895*n - 103290 = 0 for n.\nAnswer: 66, 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998.7705 months to years.\nAnswer: 83.230875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(-235*u - 228*u + 59*u**2 + 459*u) in the form r*u**2 + f*u + p and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -39, -1, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/5, 1\/7, -6, 2\/11.\nAnswer: -6, -0.2, 1\/7, 2\/11, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and -360817569.\nAnswer: -360817567.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/(1 - (3 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/7)\/(54\/(-21)))\/(30400\/1125 - 27).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*c + 1 + 11, 2*i + 38 = 5*c. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 27 + 2*m**4 + 3*m**4 + 3*m**4 - 7*m**4 + (-m + 3*m - 3*m)*(m**3 - 2*m**3 - m**3).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 274.\nAnswer: 8\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 90 (b) -1\/6 (c) -1329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543\/(-637) - -7 - 8\/52?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100100001110 (base 2) to base 12\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/21)\/(4\/14*1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 181, 405, 709, 1087?\n\"Answer: -t**3 + 49*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - 100. Suppose -x*c + 2*s + 4 = -20, 0 = -5*c + s + 47. Let k be ((-39)\/(-9))\/(c\/60). What is the highest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 0*r**3 + 1 - 2*r**3 - 4. Let c be (4\/(-6))\/((-4)\/(-42)). Let w = c - -4. Let j(l) = l**3 + l + 1. Calculate w*j(p) - f(p).\nAnswer: -p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/51)\/(1\/(-3)*(-28)\/((-280)\/(-6)))\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3\/5 - 17334*n**2\/5 + 22926528*n\/5 + 1245314208 = 0. Calculate n.\nAnswer: -230, 3004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 45*l - 70.\nAnswer: -5*(l - 7)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/70*8*5\/20?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17831260 divided by -5\nAnswer: 3566252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29000042 + 0.29. Round z to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**16\/a))**(-3)\/(a**11*a*a**(-31)) assuming a is positive.\nAnswer: a**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7674878*j**2 + j - 78542?\nAnswer: -15349756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36.2 and -485735?\nAnswer: 485771.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1233928*i**2 - 1838007*i?\nAnswer: -2467856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8*f = 3*f - 55, 3*w + 5*f - 9 = 0. Calculate the lowest common multiple of 22 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 8\/(-6). Suppose -20 = -r*n - 2. Solve -3*a - n = 3*f, 0*a - 3*a - 2*f = 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u + 1. Let c(j) = 2*j**2 + 36*j. Calculate -c(f) + n(f).\nAnswer: -f**2 - 35*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 - 21*y**3 + 30*y**2 + 48*y.\nAnswer: -3*y*(y - 2)*(y + 1)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u, 515 = 5*w - u. Let l = w + -207. Let n = l - -202. Calculate the greatest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1391, 2781, 4171, 5561, 6951?\n\"Answer: 1390*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7911603 and 106547.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (11 + -54 - -21) + 41?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 + -40. Let m = 99 + c. Solve -3*q = 1 + m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3282783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34.28955ng?\nAnswer: 0.00000000003428955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/3 - 41*b**4\/3 + 464*b**3\/3 - 2056*b**2\/3 + 1168*b - 624 = 0.\nAnswer: 1, 2, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuhnunuuuufnuun. What is prob of picking 1 u, 2 n, and 1 f?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 10. Let n be a(4). Let i be (n\/4)\/((-15)\/70). What is the second derivative of 6*f - 10*f - 5*f - i*f**2 wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 48*t**2 - 269*t - 76. Determine c(6).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 565 - 461. Is 104 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -2\/13, -2.3, -19, -0.1, 132?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 divided by -23380.\nAnswer: -12\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 3 + 5)*(-29*n + 172 - 172) to o*n + m and give o.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 21509490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*d + 25, 3*g - d + 4*d = 0. Solve 5*w = -10 - g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 4. Let o be (-50)\/7 - 8\/(-56). Let h(b) = 2*b**2 + 7. Determine o*l(g) + 4*h(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-49))\/(-9 + 256\/28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*t + 76*t - 428*t.\nAnswer: -470*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/((-4)\/(12\/(-1))). Let t = 4 + d. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -11) + (3 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/3*3*3\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 216\nAnswer: -25\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9593\/2?\nAnswer: -9593\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*z + 9*z + 4*g, -4*g - 8 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 2 = -q + 12, -108 = 6*x + 2*q for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n - 3. Let d be x(2). Suppose -t - t - 2*r - 6 = 0, d*t = 2*r + 20. Solve -2 = y - t*k, 5*y = -3*k + k + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 52. Solve p = -2*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 9*r - 7. Let b(w) = w**2 + 4. Let h be b(4). Suppose c = -c - h. What is the units digit of u(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 + 3*d**2)*(88 - 88 + d**3).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006921 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(3 - (-48)\/(-20)) + -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84055, -84057, -84069, -84097, -84147?\n\"Answer: -v**3 + v**2 + 2*v - 84057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.018318.\nAnswer: 0.0036636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4 - 37. Let k(b) = b**2 - 10*b - 7. What is the lowest common multiple of 22 and k(j)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-12 + 1) - -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*x + 2 + 2 + 4*x**2 - 137*x)*(-6*x**2 - 9*x + 9*x).\nAnswer: -24*x**4 - 6*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - o - 10 = 0, -2*h + 11 = 4*o - 3. Let u = 34 - 32. What is the second derivative of -3*j**h + 6*j - 2*j**3 + j - u*j wrt j?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f + t - 153, -3*f = -4*t - 153. Suppose -2*y - 9 = -f. Suppose y + 0 = 3*r + 3*u, -2*r + 3*u + 9 = 0. Solve 0 = 2*c + c + r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 295, 429, 553?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -238*f - 34*f - 655*f - 738*f to the form v + k*f and give k.\nAnswer: -1665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27781303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*s - 1, -7 = -3*t + s + s. Let p be t\/(-2)*0\/(-4). Solve -2*a + p = -n - 8, a + 5*n + 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.143, 7922?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 1. Let n = 139 + -268. Let j = 130 + n. What is l(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 14*t**4 + 5*t**3 - 22*t**2 - 500*t + 6. Let j(d) = d**4 - d**3 - 4*d**2 - d + 1. Let n(a) = -6*j(a) + y(a). Find the third derivative of n(b) wrt b.\nAnswer: 192*b + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(68) + (sqrt(68) - (sqrt(68) + 5 - sqrt(68))**2) + 4)*1 - (5 + (5 + 3 + sqrt(68)*2)**2).\nAnswer: -367 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 w, and 2 z when four letters picked without replacement from {z: 2, v: 1, i: 2, p: 1, w: 2, f: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5\/2 + 10*s**4 - 69*s**3\/2 - 45*s**2 = 0?\nAnswer: -1, 0, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 6:42 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -3*g - 33. Solve -f + 9 = g*h, f - 3*f = -2*h - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -14*x - 2. Determine r(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(((-5)\/30)\/((-27)\/(-6))). Let d be (-1)\/(0 - 2)*(k + 3). Let v(w) = w**3 + 12*w**2 - w - 8. Let t be v(d). Sort -3\/20, t, -5 in decreasing order.\nAnswer: t, -3\/20, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -573.2 + 573. Suppose -q - 4 = q. What is the third biggest value in c, q, -0.8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7160 - 52264?\nAnswer: -43104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/3 (b) -1 (c) -2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -162\/13 - -311\/26. What is the closest to -4 in k, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135436 - 12?\nAnswer: 135424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5085 (base 11) to base 2\nAnswer: 1101001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-60)*6\/(-4). Suppose -148*k - 5 = -143*k. Which is smaller: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*k**4 - 9*k**3 - 11*k**2 + 187508*k?\nAnswer: -516*k**2 - 54*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Suppose g + 3 = j. What are the prime factors of ((-5)\/3)\/(j\/(-18))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-5))\/((-6)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) 3786.7 (c) -5.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.17*-1731.\nAnswer: -15873.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**6\/39 - 4*r**5\/65 + r**4\/78 + 2*r**3\/39 + 9*r + 6. Let v(o) be the first derivative of p(o). Factor v(n).\nAnswer: 2*n*(n - 1)**2*(5*n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.4. Put 0.5, z, 2 in decreasing order.\nAnswer: 2, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-5))\/((-1)\/(-5)). Suppose -x*g + 1 + 2 = -5*w, 5*g = 5*w + 15. Which is smaller: g or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -29*k - 60. Calculate n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let d(f) be the third derivative of -13*f**4\/12 - f**3\/3 - 2*f**2 - 1681*f. What is -d(c) + l(c)?\nAnswer: 25*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in milliseconds?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 70a9 - 4?\nAnswer: 70a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 436 (b) -3\/7 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3224, 6441, 9658, 12875?\n\"Answer: 3217*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 6)*(8 + -1). Suppose -y - y + m = 0. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*q**5*x + 2*q**5 - 3*q**2*x + 15*q*x + 2 wrt q?\nAnswer: -2880*q**2*x + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 14*c**5\/13 + 2664*c**4\/13 + 760*c**3\/13 = 0.\nAnswer: -190, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227602*g**5 - 5*g - 31728 wrt g?\nAnswer: -4552040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 170 - 182 - (0 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*y**3 + 105*y**2 + 45*y - 50 = 0. Calculate y.\nAnswer: -10, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2 + 2*f**2 + 2*f**2. Let u(x) = -5. Let k(g) = g - 1 - 1 + 1. Let b(w) = -5*k(w) + u(w). What is c(b(v))?\nAnswer: 25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -588 take away 0.5?\nAnswer: -588.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2533184386 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 10*l + 3. Give u(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - 65f3e7?\nAnswer: -65f3f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o - 434 = -488 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:34 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6670 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, 441, 2565, 7361, 15879, 29169, 48281, 74265?\nAnswer: 108171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + 52. Let z = n - 57. Suppose 0 = -4*g + 4*x + 60, 3*g - 68 + z = -x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 12*y + 12. Let w be n(12). Let h be w*((-14)\/4)\/(-7). Solve 3*k = -3*r - 21, -2*r + 2 = 4*k - h*k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 144*l. Let w(f) = 127*f**2. Give z(w(d)).\nAnswer: 18288*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 288*w + 287*w = -21, 4*q - 2*w = 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/(-168) + (-39)\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 20 = -v, -2*o + 31*v + 46*v + 8 = 76*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*k - 9 = l, -3*l + 11 = 5*k. Suppose 0 = 3*d + 2*d - c, -5*d = 3*c - 20. Suppose 3*n - n = -2. Sort n, d, l.\nAnswer: l, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5*sqrt(90)\/sqrt(2) + sqrt(45))\/(sqrt(90)\/(sqrt(30)\/sqrt(3))))**2.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7189*w + 7183*w - 14372*w + 2666*w**3.\nAnswer: 2666*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 3:42 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in 3, -0.1, -0.03, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 722893\nAnswer: 3\/722893","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 68, -5, -2\/7 in ascending order.\nAnswer: -5, -2\/7, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**2 - 7*t - 8. Determine o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -0.2. Let m = w - 0.4. Let v = -0.2018 - m. What is v rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 1\/6, 0.2, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - n + z + 3, 0 = -n + 4*z - 9. Suppose 21 = 4*v + 3*l, n*v + 5*l = 12 + 12. What is the lowest common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01304692588 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -13*l + 492. Let d be b(38). What is the third biggest value in -1\/2, -0.15, d, -0.06?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 7*d - 2. Let f be y(-3). Let b(p) be the first derivative of -3*p + 0*p**3 + 0*p**2 + 1\/2*p**f + 2. Differentiate b(i) with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9\/5, -99, -5, -2.5?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {r: 2, w: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -14. List the prime factors of (-107)\/g - (-2)\/(-7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Suppose 4*y = -1 + 9. Suppose 5*v + f = -16, 2*f = 2*v + 6*f + 10. Put v, q, y in descending order.\nAnswer: q, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 6:23 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 184882 less than 4806969\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 25, -16, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-5\/9)\/j)\/(j**(-7)\/j))**(4\/37))**(2\/83) assuming j is positive.\nAnswer: j**(464\/27639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*t = 473*t - 920 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*l + 159, p + 4*l - 54 = -0*p. Let z be 102\/(-18)*(1 + -28). Suppose p + z = 5*v. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -2, -0.2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/2, -113\/27, 0.5, -2 in ascending order.\nAnswer: -113\/27, -7\/2, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-2)\/8*14. Let c = u - -6. Is c greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -12. Let b be (l + 0)\/((-20)\/10). Let k be -26*(0 - (-20)\/b). Round k to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 45088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6265*c**2*q**3 - 5*c*q**3 + 298*q**3 - 3*q wrt c?\nAnswer: 12530*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, q: 4, g: 10, b: 2}. What is prob of picking 2 g and 1 b?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68294 + -26521. Let d = 131773 - a. Round d to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 15*p + 14. Let n be x(-14). Suppose -4*z + 18 + 14 = n. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 516151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*v - 32, 20*v = 24*v - h + 29 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1195 less than 6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-2 + -3) - 0. Suppose l - 1786 = -5*f, s*l - 2*f - 6876 - 334 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/(-5))\/(-2))\/(-11).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h - 11*h - 2. Let r be h\/(-8)*6*84. Calculate the highest common factor of r and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 61604025.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/9 - 108*j - 3920\/9 = 0.\nAnswer: -4, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 26*f - 21. Let v = -18 - -68. What is the remainder when v is divided by f\/((-1)\/(2*13\/2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hehzshezwyhw. What is prob of sequence hhs?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 5. Let l be v(3). Let f be l + (-6)\/(-9) - (-2)\/(-3). Is f > 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**7\/56 + 11*s**6\/20 + 129*s**5\/80 - 1243*s**4\/16 + 121*s**3 + 639*s**2. Determine c so that o(c) = 0.\nAnswer: -11, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103*r**2 - 175 - 928*r + 743 + 929*r + 127*r**2 wrt r?\nAnswer: 460*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41749 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7)**(-2\/25)*(d*d**23)\/d**(-2\/3) assuming d is positive.\nAnswer: d**(1808\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.8228 millennia to decades.\nAnswer: 26582.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12197257*-5\nAnswer: 60986285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + i = r - 14, 8*i = 5*r + 39 - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 13125*v**4 + v**3\/3 + v**2\/2 - 2*v + 3. Let w be n(-2). What is w rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-20)*3 - (-3)\/4. Let w be (8\/(-12))\/((88\/60)\/(-11)). Sort -5, b, 31, w in increasing order.\nAnswer: -5, b, w, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78367433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**8\/42 + 5*j**4\/24 + j**2. Find the second derivative of q(z) wrt z.\nAnswer: -160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 194*b + 179. Let t(z) = -z**2 + 65*z + 60. Suppose 0 = 17*i - 43 + 94. Let w(o) = i*y(o) + 8*t(o). Find the first derivative of w(h) wrt h.\nAnswer: -4*h - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (12\/(-7))\/((-1)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -b - b - b - 167, 59 = 3*d + 5*b for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 150, 130?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(969 - 130 + 369)*(-7*i**2 + 8*i**2 - 2*i**2) as v*i**2 + d + r*i and give v.\nAnswer: -1208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*o - 240, -3*o + 335 = -9*h + 14*h. Solve -k = 5*s + 23, -o*k = 5*s - 110*k + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158927 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3 + 27\/3)\/(97*(-153)\/(-103887))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/(2\/((-8)\/5))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(242) - (sqrt(242) - (sqrt(242) + sqrt(242)*2))) + sqrt(2).\nAnswer: -3 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5731\/290 - 1123\/58. Find v such that 0*v**3 - g*v + 3\/5*v**2 + 0 - 1\/5*v**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*a**6 + 3*a**3 + 1209*a**2?\nAnswer: 4080*a**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-96)\/26)\/(-2) - (-4)\/26. Suppose 2 = 3*d - 7. What is the remainder when 2 is divided by d + (v + 1 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 35*n. Let l(g) be the second derivative of g**6\/360 + 41*g**4\/4 + 33*g - 3. Let v(y) be the third derivative of l(y). Give p(v(u)).\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 52*p**3\/3 + p**2\/2 + 3*p - 14. Is q(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1822*a**3*n - 39171*a**2*n + 591716*a*n - 6*a wrt a?\nAnswer: -10932*a*n - 78342*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 2, 4, -1.69, -86\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2186 times -0.044?\nAnswer: -0.0096184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 6*o - 5. Let j be y(-3). Suppose -13 + 5 = -j*g. Find the second derivative of 10 + b**g + 6*b - 10 wrt b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.703636 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w - 28. Let x be t(12). Let j = -80 - x. What is the greatest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = k + 4*k. Solve -k*j + 0 + 10 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, k: 1, l: 2, n: 1, f: 1}. What is prob of picking 1 d and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-2 + 2 - 1)*(0*y + 0*y - 7*y).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 + 150. Let x = 78.0047 - w. Round x to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h - 275*h = 72*h - 674*h - 29766 for h.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t**(2\/3))\/t*t)\/t)**(-2\/15)*((t\/(t\/t**(1\/3)))\/t)**(3\/14) assuming t is positive.\nAnswer: t**(-157\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 4*y)*(-6*y**2 - 12*y + 12*y) + 5*y**3 - 5*y**3 - y**3.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**3 - 9*a. Let h(v) = -3*v**3 - 4*v. Give -2*b(c) + 5*h(c).\nAnswer: -3*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-234)\/52 + (-18)\/(-3). Let n(h) be the first derivative of 6 + r*h - 1\/4*h**3 - 3\/20*h**5 + 9\/16*h**4 - 9\/8*h**2. What is d in n(d) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1864 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1373?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 94 and -3342?\nAnswer: -314148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4603676 is divided by 986?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163525060 to the nearest integer?\nAnswer: 12788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -1. Suppose 0 = 2*l - 4*h - 17199988, n*h - 9233705 = -l - 633693. Suppose -2*r = -0*r + l. What is r rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 - (-9 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 2, r: 2}. Give prob of picking 1 u and 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.6 - -7. Let p = 2.4 - a. Let n = 3 - p. Is n >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - (66 + -267)) + -83.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.01 (b) -2\/21 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**5 - s**3 + s**2 + s - 1. Let p(w) = 20*w**5 - 15*w**4 + 20*w**3 - 10*w**2 - 15*w + 25. Let g(o) = -p(o) - 25*q(o). Find c, given that g(c) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.41? (a) 2\/3 (b) 0 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**2 + 2*q + 2. Let l(o) = 12*o**2 - 7*o - 7. Let m(s) = -14*i(s) - 4*l(s). Let d(h) = -2*h**2. Determine m(d(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o + 6 = 0. Let r be 5*1\/5*2. Let m be (7\/(-14))\/(3\/24). Sort o, r, m.\nAnswer: m, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 16 - 3 = 0. Suppose -s + 22 = 3*b. Suppose 0 = -2*d - 5*a + 149, 0 = 2*d - b*d + 3*a + 47. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(-1\/7)\/v)\/v)\/v)**(9\/5))**(-10) assuming v is positive.\nAnswer: v**(270\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide (416\/24)\/(40\/12270)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 8*q**3 + 10*q**2 - 8*q - 9.\nAnswer: -(q - 9)*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 2*b**3 - 5*b**3)*(-4*b + 3*b - b)*(-b + 1 - 1).\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 3*j - 12*j = -4860. What is the least common multiple of 864 and j?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64 - -70) + 3 + 2 + (-17 - -7) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**2 + 5\/3*n**3 + 2\/3*n**4 + 0*n + 0. What is the first derivative of t(r) wrt r?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2936 and 712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0 = -2*q + 2, -2 = 2*q. Suppose -2*v + m*h + 38 = 0, v + v = 3*h + 41. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571.3 rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 + 8*n**2 + 2*n - 41*n**2 - 24*n**2 + 155.\nAnswer: -57*n**2 + 2*n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 117, 146, 173, 198, 221, 242?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 25 - 7 = -2*x, -4*x = -4*l. Let p be (-63)\/(-12)*(-4)\/x. Let r(s) = 5 + 1 - 16*s - p. Let c(u) = 2*u**2. Determine r(c(b)).\nAnswer: -32*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/112 + 3\/16. Let m = 0.76702 + 0.22298. What is the second biggest value in 0.4, m, -3, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5290 and 341096555.\nAnswer: 2645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.984 - -0.016. Let y = 3.9 - -0.1. Put y, -0.3, u in decreasing order.\nAnswer: u, y, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 18 = -v. Suppose 14 = 2*y + 3*s - s, -v*s = -3*y + 15. Suppose 11 + y = p. What is the remainder when 32 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2171.\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r - 1. Let h(j) = 9*j + 2. Suppose 0 = -l - 4*s - 5, 0*s = -l + 2*s - 5. What is l*m(x) - 3*h(x)?\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000101 (base 2) in base 12?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 55\/((-1045)\/228).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/29, 234, 4 in ascending order.\nAnswer: 5\/29, 4, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/35 (b) 0.25 (c) -1 (d) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}