diff --git "a/data/dm_maths/full_data/10186_11255.jsonl" "b/data/dm_maths/full_data/10186_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10186_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the highest common factor of 768 and 606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -88624\nAnswer: -5\/88624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -9\/7 (c) 2 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1920730 and -79\/501060.\nAnswer: 11524380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -17 + -1 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 9285528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 8*o - 2. Let f be g(-4). Which is the biggest value? (a) -148 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g - 3*g - 3 + g**3 + 3*g**2 + 3*g**2. Suppose n = -2*a - n - 8, 4*a = -2*n - 20. What is the units digit of k(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11759549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71.6 * -3.\nAnswer: -214.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1308\/15571 + -2\/677. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/13 - 1414*y**2\/13 + 2820*y\/13.\nAnswer: 2*y*(y - 705)*(y - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -3\/5 (c) 86 (d) 0.06 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -322070*t**5 - 3438*t wrt t?\nAnswer: -6441400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*r**5 - 59780*r**4 + 317*r**2 - 7214*r wrt r?\nAnswer: 6180*r**2 - 1434720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479526 is divided by 17625.\nAnswer: 3651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 1958a8?\nAnswer: -1958a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 = -f, 3*f = 2*k + 3*k - 4. Suppose i = -0 + k. Let h = 0 - i. Which is the nearest to 0? (a) 2\/5 (b) h (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 3*l**2 + 5*l - 7. What is x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48.5198 + -0.1722. Let d = i + 50.3. What is d rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*((-4*(2*sqrt(1215) - sqrt(1215)))\/(sqrt(80)*-5))**2.\nAnswer: 5832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59357997 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + (8 - 4) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/153 and -17\/28524.\nAnswer: 1454724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 + 208. Suppose 355*v - 24 = 349*v. Suppose -44 + 14 = -q + k, -r = -v*q + 5*k. What is the remainder when 50 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/24 and -113\/143468.\nAnswer: 860808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 6. Let k be (-1)\/6 - (-175)\/(-30). Let u be v(k). Solve u = 4*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3133 - 4?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 14 = 3*l, w + 5*l = 14 - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = n - 150*p + 147*p, 0 = -5*n + p - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5165, -21042, -47497, -84524, -132117, -190270, -258977?\nAnswer: -338232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, 13, 0.3, 7\/6 in decreasing order.\nAnswer: 13, 7\/6, 0.3, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 1740. Suppose -x = -11*i + 302. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 - 12691638*l**2 + 152299575*l\/2 - 114224661.\nAnswer: 3*(l - 8461086)*(l - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-36))**(17\/3) assuming r is positive.\nAnswer: r**(-204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47020 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**5 + 260*j**4 - 55145*j**3 - 168560*j**2 + 223440*j = 0. What is j?\nAnswer: -133, -4, 0, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let n(w) = -103*w**2 - w. What is c(n(x))?\nAnswer: 21218*x**4 + 412*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40345883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*l - 93, 2*l - 28 = -i + 7. Suppose -1 + 0 = h. What is the remainder when 33 is divided by 1*h\/(-3)*i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158375.\nAnswer: 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -32 - (6 - -38 - 30)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 124 - 478 = 0. Let d = g + 31. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 77 in -502, 1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3036 (base 7) to base 6.\nAnswer: -4520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1454, 2936, 4466, 6068, 7766?\nAnswer: 9584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -2\/13, -0.24, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 499604.1 + -499604. Let s = -4 + 4.03. Let q = 2.97 + s. Which is the nearest to -6? (a) q (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c + 78. Let y(n) = 17*n - 13. Let f(r) = 4*r - 3. Let w(i) = c*f(i) + 6*y(i). What is the units digit of w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6774, -13523, -20272, -27021, -33770, -40519?\nAnswer: -47268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/17 or 4817596?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p + 2. Let s(y) = -3*y + 2. Let a(c) = -1 + c + 1 - 1. Let d(t) = 5*a(t) + 2*s(t). Let h(u) = 5*d(u) + m(u). Differentiate h(r) with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + d - 8 = 10, 5*d = -j + 18. Suppose -2*a + 50 = j*a + 2*m, -3*m - 10 = -a. What is the remainder when 29 is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 868487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**4\/12 + c**3\/2 - 39*c**2. Suppose -4*t + k + 16 = -2*t, -18 = -2*t + 2*k. List the prime factors of z(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 973 - 1267 = 0. Let v = s + 162. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 8.46439\nAnswer: 33.85756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69196769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1, -1, -4.\nAnswer: -4, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5 + -5 + 15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -79, -2\/17, 1\/2?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/4))**30*(b**(-3))**(-48) assuming b is positive.\nAnswer: b**(393\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -17. Suppose 2*m + 98 = l*m + 4*d, 4*m - 2*d - 302 = 0. Calculate the remainder when m is divided by 20 - (-1 + (1 - 0)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 15, 1, -107, 0 in ascending order.\nAnswer: -107, -3, -1, 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r - 17. Determine c(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 1475*t + 2970.\nAnswer: -5*(t - 2)*(t + 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -2\/45 (b) -4\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -172? (a) 1\/5 (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (140\/6)\/((-2)\/(-6)). Suppose 0 = 3*k - 3*g + 7*g - 68, -5*g - 20 = 0. Calculate the greatest common factor of k and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3561701*i**5 - 4*i**2 + 202704.\nAnswer: 213702060*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687*j**2 + 359*j - 359*j - 257*j**2.\nAnswer: -944*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 1794 = -2145. Calculate the remainder when m is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v + v + 3*v)*(-1 - 3 + 6) - 2*v + v - 2*v)*(2 + 0 - 5).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {t: 3, b: 4, v: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let i be v - -8 - 2\/1. Suppose t = -2 - i. What is t rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00122623 to 5 decimal places.\nAnswer: -0.00123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 4. Let f = -104 + 93. What is l(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7316682 (base 10) to base 5.\nAnswer: 3333113212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -27*j**2. Let w(v) be the first derivative of -v**3\/3 + 151. Calculate q(w(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187887\/5 + 37577. Let q = -0.1318 - 7.7582. Let h = -0.11 + q. What is the nearest to -1 in 3\/4, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2296.4 - -2296. What is the nearest to 2\/9 in v, -8.7, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -197, -413, -775, -1283, -1937, -2737?\n\"Answer: -73*c**2 + 3*c - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + (4 + -6 - (8 - -1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 210, 174, 126, 66, -6, -90, -186?\n\"Answer: -6*m**2 - 18*m + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.952 and 2?\nAnswer: 4.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 1, 35, 97, 193, 329, 511?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**8\/3360 - a**7\/315 + a**4\/8 + 5*a**2. Let f(z) be the second derivative of i(z). Factor f(r).\nAnswer: 2*r**2*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + 2 + (-2*(-2*sqrt(275) + sqrt(275)) + 3)**2 + 0 + 3.\nAnswer: 60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4055690 and 425.\nAnswer: 20278450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) 0.4 (c) -3\/5 (d) -0.4 (e) -1977 (f) 0.9 (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1496)\/88*(-1)\/(-1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - 14?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 26*v**6 + 3*v**2 + 46*v**2 - 2*v**5 - 58 + 11*v**2 + 2*v**5. What is the second derivative of y(b) wrt b?\nAnswer: 3120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n - 3*n - 5*n)*(-6 + 6 - 1) to the form y*n + m and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2))**33\/(h\/(h**(-2\/5)\/h*h*h)*((h*h*h\/(h**(-4)\/h)*h)\/h)\/h) assuming h is positive.\nAnswer: h**(-239\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4097 (b) 120.9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8791 = 12*o - 387. What is the remainder when o is divided by 119?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11033 - 11093 = 3*p - 5*k, -p + 2*k = -p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**3 + 1 - 1 + (0 - 2*r**2 + 0)*(-2*r + 3*r - 2*r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-1)\/(-4)*4. Let q(h) = -3*h + 3. Let s be q(3). Let x be (0 - s)*11\/22. Solve 3*w - 5 = b + 3*b, -n*w + x*b + 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:01 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -522578940.\nAnswer: -522578922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**16*h*h**(-20))**(-5) assuming h is positive.\nAnswer: h**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181987?\nAnswer: 13, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 325 = 60. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, w: 7}. Give prob of picking 4 y.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -76*c**2 - 13602*c + 358 = 0. Calculate c.\nAnswer: -179, 1\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:34 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*i - 11. Let a = -4 + i. Suppose 0 = a*f - f - 12. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6780991 to the nearest integer?\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 108247, 432991, 974231, 1731967, 2706199, 3896927?\n\"Answer: 108248*g**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30625 divided by -4375?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r - 2. Let t(g) = -2*g. Let n(y) = -2*c(y) + 6*t(y). Let w be n(-3). Let l be (-28)\/4 - (w + 2). Let h(q) = -q**2 - 7*q + 6. Give h(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/5 + 56*g**3\/5 + 1176*g**2\/5 + 10976*g\/5 + 38416\/5 = 0. What is g?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40429543\/249 - -162367. Let v = -2\/83 + j. Let g = -25\/18 + 14\/9. What is the closest to -1 in v, -1\/5, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 3:00 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24074710 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**4\/12 + s**2 - 10*s. Let b(h) = 22*h**2. Give b(l(i)).\nAnswer: 88*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 6*b**2 + 7*b + 4. Suppose -15*k - 78 = -2*k. Determine o(k).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2. Let d(s) be the second derivative of 6*s + 0 + 0*s**2 - 47\/6*s**4 + 0*s**3. Calculate d(j(a)).\nAnswer: -846*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 5*c**2 - 5*c + 6. Let k be n(-6). Solve -6 = 3*b - k*s + 2*s, -2*b - s = 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45193456 is divided by 7152?\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Suppose -10*z = -35*z + 50. Let s(n) = 55*n**2 - 102*n**2 + 149*n**z + 102*n**2. Calculate g(s(x)).\nAnswer: 204*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-275)\/(-35) - (-2)\/(17 + -3). Suppose 5*f = i*f - 2*h - 79, -5*h = 3*f - 65. Find the second derivative of -63*y**2 + 19*y + 22*y + f*y**2 wrt y.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3476464 meters?\nAnswer: 34.76464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 0.2, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -20 - (5 - -2) - (38 + 29)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + -1 + 8\/84*43 and -59\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(-p + p**3 + 8 + 8 - 14)*(-43 - 28 + 25) as b + v*p**3 + z*p + k*p**2 and give z.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466489.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 - 9*x**2 - 9*x - 9. Let h(g) = 7*g - 4 - 5*g + 5 + 1 + 2*g**2 - g**3. What is -18*h(f) - 4*w(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1169 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 881071.76 to the nearest 1000.\nAnswer: 881000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*z = 1836 + 4944 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5235516 = -361*s + 22*s. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8761 - 8500. Calculate the remainder when 262 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3 - 96410*o**2 - 440742005*o + 234321986400 = 0.\nAnswer: -9881, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90075 = -33*j + 88854 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000673437918 to five decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - (15 - 3)) + 3*1. What is the nearest to w in -2, -8, -0.08, -0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -25684.884 - 0.3\nAnswer: -25685.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 + 2. Let k = 4 + -7. Let j(x) = x**3 + 8*x**2 + 6. Let o(n) = k*j(n) + 8*g(n). Find the first derivative of o(w) wrt w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 + 9*g + 5. Let k(a) = a**2 + a + 1. Let h(j) = i(j) - 4*k(j). What is h(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - o + 79 + 483, 0 = -5*b + 5*o + 2860. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*n**3*r**2*w**2 - 260198*n**3*w**3 - 4*n**2*r**2*w**3 + 334*n**2*w**3 - 12*n**2 - 2*n*r**2*w**3 + 3*r**2*w wrt n.\nAnswer: 108*r**2*w**2 - 1561188*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 99*m**3 - 22. Let k(c) = 14*c**3 - 3. Give -22*k(b) + 3*l(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(147) + sqrt(147) + sqrt(147)*2 + -3)**2*-1 + -4)*6)*4.\nAnswer: -56748 + 4032*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -13*m**3\/6 - 15*m**2\/2 - 24*m. Let h be c(-6). Suppose -h*x = -68*x + 1090. What are the prime factors of x?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0 + x - 4 + 2) + (-4*x + 3*x + 3*x)*(138 - 51 + 4).\nAnswer: 181*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * -4.4.\nAnswer: -15.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t + 21. Let w be n(-6). Let x be (-2)\/7 + (-205)\/(-7). Let r = x - w. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142408 is divided by 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18120 and 384.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*h**2 - 2568\/5 - 1276\/5*h.\nAnswer: 4*(h - 321)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 - 13 - 4*g**2 - 3*g**3 - g + 12 + g**3 as j*g + l + x*g**3 + m*g**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/33403291 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1027 is divided by 46.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/3 + 1951*i**4 + 348751*i**3\/3 + 337043*i**2\/3 - 116250*i - 342896\/3 = 0.\nAnswer: -58, -1, 1, 5912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 6*m**2 + 4*m + 9. Let z be n(-6). Let c = z - -26. What is the remainder when 43 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l + c, -c - 2 = -5*l + 27. Let r = 4 - l. Do r and -4\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-22)*(-240)\/144*(-12)\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -56*n**2 - 285*n - 14. What is the remainder when 1005 is divided by p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, j: 1, c: 5}. What is prob of picking 1 b and 3 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 126774?\nAnswer: 1267740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 28. Let k be 4*((-39)\/z + -1). What are the prime factors of 138\/k - 4\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 106*(-42)\/12*-5. Suppose 5*a - t = -2*q, -q + 2*a + 2773 = 2*q. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z\/(z*z*z*z**(8\/3)))))\/z)\/((z\/z**(-5\/3))\/z*z))\/(z**(-2\/5)\/z**3) assuming z is positive.\nAnswer: z**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(405)*-2 + sqrt(405))**2 - (6*(sqrt(5) + 0) + sqrt(60)\/(sqrt(48)\/sqrt(4)))**2.\nAnswer: -18*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.7538 minutes in milliseconds?\nAnswer: 27225228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Let h = -21 - -18. Which is the nearest to 1? (a) -2\/9 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2915969?\nAnswer: 2\/2915969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*1*5*2 + -1 + (6*(1 + sqrt(192)) - (3 + sqrt(192) + sqrt(192) + 0 + sqrt(192))**2).\nAnswer: -1732 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**2 + 6*m - 46. Let j(c) = -4*c + 10. Let q(f) = 5*i(f) - 3*j(f). Let s(b) = -b + 0 + 8*b + 0. Give q(s(p)).\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, 37, 189, 413, 715?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*d**3 + 8*d**2 - 5 - 8*d**3 - 3*d - 3 + d = 0. Calculate d.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + -4.2. What is n rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7113727.419 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-120) + 13217\/8. Does 15 divide h\/10 + 1\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.05, 126\/25247, -5?\nAnswer: 126\/25247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f + 13. Let m(c) = -5*c + 14. Let s(z) = -5*m(z) + 6*v(z). Give s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -8 (c) 5\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.56 + -0.14. Let d = t + 0.5. Let n = 1.8 - d. Sort 0.1, n, -6 in ascending order.\nAnswer: -6, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -1, -132 in decreasing order.\nAnswer: 4, 2, -1, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8545, -17083, -25615, -34141?\n\"Answer: 3*x**2 - 8547*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.2856ug?\nAnswer: 0.0062856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000046927 rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**3 - 4*j**2 + 4*j - 12. What is the thousands digit of n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let c = 46 + -47. Suppose 0 = -3*m - 3*x + 3, -2*m = -7*m + 5*x - 15. What is the nearest to m in -4, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89810330 to the power of 1\/2, to the nearest integer?\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 2*j**2 + 0*j + (2*j - 4*j + 0*j)*(0*j - 2*j + 4*j) + (-j - j + j)*(0 + 0 - 16*j)*(3 - 6 + 4).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 6*x**2 - 5*x + 2. Let g be n(7). Let t(a) = 2*a**2 + 5*a + 8. Let k be t(-8). Calculate the greatest common factor of g and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/6)\/(-2 - -1). Suppose -5*b + 17 = -i + 5*i, -3*b = -i - 17. What is the second smallest value in 4, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -18. Find the third derivative of a**5 + 0*a**g + 0*a**5 - 3*a**5 + a**2 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 32 = z, 8*z - 3*z - 64 = -4*k. Find the common denominator of (-214)\/12 - k\/(-24) and ((-122)\/10 - -4) + -3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*h - 7*h, -4*z = -5*h - 71. Solve -5*n = -10, -u - 2*n = 4*u - z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116640 + -69667. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*g = -l + 12, -2*l - 9 = -5*g. Suppose 7*i - 4*i = -5*z + 91, -5*z = 5*i - 85. Suppose -z = k - l*k. Solve 0 = 4*s - k - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 1 - (9 + -11 + 16). Put -4, -1, d in descending order.\nAnswer: -1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 27*j**2 - 52*j + 84. Calculate the remainder when 248 is divided by z(-25).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/2 + 15*s**4 - 111*s**3\/2 + 90*s**2 - 54*s = 0 for s.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5470)\/35*(-2)\/2. Let k = h + -156. Let q = 4 + -13\/3. Sort 1, k, q in increasing order.\nAnswer: q, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.78719287 and 0?\nAnswer: 3.78719287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*t**2 + 140*t**3 + 2*t**4 + t + 55*t**2 + 1 + 47*t**3 to the form r*t**2 + f + p*t**3 + h*t**4 + c*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5174, 14593, 28262, 46181?\n\"Answer: 2125*l**2 + 3044*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*b = -68, t + 2*b + 76 = 4*t. Suppose c - 2*c - 7 = -2*m, 28 = 3*m + 2*c. What is the remainder when t is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1860*p**2 - 3381*p**2 + 1749*p**2 to m*p**2 + n*p + o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 0 + (-5)\/(-5). Suppose b*l + 2*u - 120 = 0, l - u = 6*l - 120. Let h = l - 3. What is the highest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 102 = -10*s + 6*s, 0 = -4*l - 2*s + 92. Suppose -h = -123 + l. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 0*s - 95\/24*s**4 + 5\/2*s**3 + 30 - 5\/24*s**6 + 7\/4*s**5 - s**2. Factor b(r).\nAnswer: -5*(r - 3)*(r - 1)*(5*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9597.306 kilometers to meters.\nAnswer: 9597306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, 3, -1, -5, 67.\nAnswer: -5, -1, 3, 67, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*l - 71746 = -2*p, -p + 35901 = -5*l. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -21 (b) 1 (c) 3.0518 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51623.4 rounded to the nearest one hundred?\nAnswer: -51600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 2*f**2 + 6*f + 6. What is the units digit of b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -2*d + 8, -z + 4*z - d - 1 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 972185 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*s - 5*z - 10, -3*z = 2*s + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1016657, -1016658, -1016659, -1016660, -1016661?\nAnswer: -1016662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1249 + -1249.0004349. What is i rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3095 and 110.\nAnswer: 68090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 4*k - 4*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((9 - 3)\/2). Let g = -0.22 + -0.08. Let d = g - 0.2. What is the nearest to c in 0.3, 2, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225337 divided by -3874.\nAnswer: 225337\/3874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xasw when four letters picked without replacement from xsswlkasxkxxx?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 6. Let b(q) = q**2 + 6*q + 9. Let j be b(-4). Let h(s) = 2*s - 2. Let y be h(j). Determine d(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -894*g + 25*g**2 + 23*g**2 - 8197*g + 24*g**2 - 1 - 74*g**2 as m*g + k + p*g**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r**3 + 10*r**2 - 32*r + 10. Let k be m(7). Let w = k - -4357. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.5656353 and 6222.\nAnswer: 6230.5656353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320599 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6473 - -6633. Solve -168*t + 16 = -g*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -430253 (base 6) to base 3.\nAnswer: -1210010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 6*r - 3. Let s(m) = -2*m - 14. Let v be s(-5). Let z be l(v). Let k(o) = -o + 7 - z + 1. Determine k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -135*v**2 + 1225*v - 92. What is h(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34571 and 650695?\nAnswer: 124282745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*t**3 - 18*t**3 - t**2 + 3 - 5 + 2*t - 25*t**3 in the form l*t**2 + y*t + d*t**3 + a and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56871 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 87307?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34644 - 34623. Let t(q) = 2*q**3 + q**2 - 4*q - 3. What is the remainder when t(4) is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3 + sqrt(637) + -5)*-5 + -1)**2.\nAnswer: -560*sqrt(13) + 15989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + 5*((sqrt(11) + sqrt(11) + -2)*-1 - (sqrt(891) + -1)) + 2)**2.\nAnswer: -1980*sqrt(11) + 33599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 21. Let b = 16 + z. Let v(l) = l**2 - 9*l + 12. Let r be v(b). Calculate the greatest common factor of r and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1314, -0.3, 4, -2\/11, 3?\nAnswer: 1314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 58*g - 48. Let k be l(29). Calculate the common denominator of (28 - 26)\/(k\/(-53)) and -137\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(4 - 3)*-1. Suppose x = f*x - 3. Solve -x*i - k = -3*k + 1, -4*k = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13000 + 30002012?\nAnswer: 30021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*i**3 - 8 + 0 + 18*i**3 - 50*i**4 + 75*i**2 + 3 + 2 wrt i.\nAnswer: -1200*i - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -379*r**2 + 379*r**2 + 9*r**3 + (3*r - 3*r - 2*r**2)*(3*r + 2 - 2) + 2*r**3 + 0*r**3 + 0*r**3 in the form g*r + x*r**3 + p*r**2 + q and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6731142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.034 (b) -3\/2 (c) -691\/247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.2 - -27.23. Let w = -3.791 + c. What is w rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19843 by 1.\nAnswer: -19843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 2615.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + 1. Suppose 17*p - 185 - 1294 = 0. What is the remainder when p is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 337498*o - 8. Let h be t(-4). What is h rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2 - 10*h + 2. Let t(m) = m**2 + m - 1. Let o(j) = 2*n(j) + 10*t(j). Does 9 divide o(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {c: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2578 divided by 2\nAnswer: -1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(95)*-2*-3 - sqrt(95)))\/(sqrt(500)*1))**2 + 3.\nAnswer: 487\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75396 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*a + 10, 4*k + 1 = 98*a - 95*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -388\/3. What is the second biggest value in -0.3, -2\/5, d, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 22*r = 4. Is 12 a factor of 8*(r + 0 + (-19)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(65\/25 + (5 - 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.035 - -0.235. Let q = 43 - 47. What is the third biggest value in f, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-78)\/4 - (-2)\/4. Let o = -17 - d. Let j(q) = -2 + q**3 + q + 3*q - q**o - 3*q. Determine j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmxmmxm. Give prob of sequence xx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 + 31)*(-1)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.38 * 3715.\nAnswer: -5126.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-21))\/((-18)\/(-21)). Which is the nearest to -2\/5? (a) -4 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a3 (base 14) to base 13\nAnswer: -8c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5425, -5413, -5401, -5389?\n\"Answer: 12*u - 5437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 1 + 0*p - 5*p - 4. Let o = -20 + 30. Calculate the remainder when f(-6) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, 24, 79, 156, 255, 376?\n\"Answer: 11*t**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/(170\/18)*(-5)\/1. Is 5 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (16\/(-72) - (27 - 17545\/99)).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002806 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 2. Let z(v) = v**2 - 8*v - 5. Let h be z(k). Let d = 35 - 51. Do d and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.353413545 rounded to 2 decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7.2 * -1.70819\nAnswer: -12.298968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 120 - 117 + 47*m**2.\nAnswer: 47*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1400.62 + -1420. Let m = p + 0.38. Let c = -20 - m. Which is smaller: -17 or c?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -387 + 387. Which is smaller: b or -9\/2?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 32*k**3 + 4*k**2 - 99*k - 2. Let x(o) = 96*o**3 + 11*o**2 - 295*o - 6. What is -11*d(b) + 4*x(b)?\nAnswer: 32*b**3 - 91*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223 + 396. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m**3 - 21*m**2 - 47*m + 53. Let f(h) = 8*h**3 + 7*h**2 + 17*h - 18. Let v(a) = 17*f(a) + 6*o(a). Calculate v(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-3)\/3))\/(5\/25)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 183\/27 + -7 - (-465)\/27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45657 greater than -45655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29226 divided by -6?\nAnswer: -4871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 1, 2, -5 in descending order.\nAnswer: 2, 1, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*v - 15, 0 = y + 3*v + v + 9. Let k = -25 - -25.3. Which is the closest to y? (a) -2\/15 (b) 7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z + 59. Let f be c(9). Let k(a) = -5*a. Let x = 0 - 2. Let h be k(x). Calculate the highest common divisor of f and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 507\/2 + -243. Find the common denominator of l and 29\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i = 272 - 432 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2)*(-9)\/((-135)\/8).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22\/19 in -0.2, -69, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.8 (b) 2\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*m - 57 = 0, -379*c + 323*c + 171 = -5*m - 252 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653811 is divided by 470.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 973297 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 122, 7, -2, 3 in increasing order.\nAnswer: -2, 3, 4, 7, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2, 60\/7, -6?\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -64079, -130878, -197677, -264476, -331275?\n\"Answer: -66799*g + 2720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -665*b**2 + 300*b - 22. Let z(h) = 332*h**2 - 149*h + 12. Let q(s) = -6*x(s) - 11*z(s). What is the second derivative of q(c) wrt c?\nAnswer: 676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (-4)\/4 - 1 - -20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*l**2 - 33*l**2 + 96*l**2 - 487 - 34*l**2 to o*l + h*l**2 + b and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + u**2 - 6*u**2)*(-3 - 1 - 2) + 7*u - 6*u**2 - 7*u + (1 + 2*u - 1)*(0*u + 3*u - u).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 q when four letters picked without replacement from {t: 3, q: 16, n: 1}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssgsttsgttssddttstt. Give prob of sequence dgst.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**6\/8 + 21*g**5\/10 + 51*g**4\/16 - 137*g**3\/2 + 393*g**2\/2 - 210*g + 6352. Suppose d(u) = 0. Calculate u.\nAnswer: -5, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 72. Determine i(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqqqqmuqquuqumumu. Give prob of picking 3 m.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 393839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40099300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245*o**2*z**2 - 66148*o**2*z + 4979*o*z**2 - 97*o*z - 6*o + 2 wrt o.\nAnswer: 490*z**2 - 132296*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -621.3 minus -1?\nAnswer: -620.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.0453 + 0.0353. Let s = j - -3. Round s to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 835950372 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311600632?\nAnswer: 2, 7, 5564297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.012 - 0.278. Let q = 12.71 + -12. Let c = q - v. Which is smaller: -0.4 or c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t + 7. Let h(w) = -10*w - 3. Give 7*h(f) + 3*n(f).\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(2\/(-5)*11\/22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6308 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 347, -2\/5, -0.02 in descending order.\nAnswer: 347, -0.02, -1\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1343.34396 nanoseconds?\nAnswer: 0.0000000000022211375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38a (base 12) to base 7\nAnswer: -1366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10540\/9486)\/(2\/72)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132924610 by -841295.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and (-1 - -1) + (-18)\/(-1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-40) - (-4)\/(-16)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 546090 in descending order.\nAnswer: 546090, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33728977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8182*b - 32732. Determine a(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/6)\/(58275\/99900)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10037*h**5 - 53*h**3 + 3574165*h**2 + 2*h.\nAnswer: -602220*h**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 11)\/((4040\/404)\/((-10)\/6))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 13. Let s(i) = -i**3 + k + 5*i + 2*i**2 - 2 - 1. Let n = 4 + -1. Determine s(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (911\/(-911))\/((-2)\/(-30)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0 = 4. Solve -i + o*i = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 24. Let z be k(-18). Let x be (-18)\/((-3)\/6*(-8 + z)). Let l be 3\/x + 0 - 57\/(-18). Solve l*t + 12 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -5*z**3 + 15690*z**2 - 16411740*z + 5722226680 = 0?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.05 from 336429.\nAnswer: 336429.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239656781 by -18435137.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 158473*f - 792402. Give x(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2288 + 2222.35. Let f = 0.65 + v. Let z = f + 64.9854. What is z rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.12. Let z = i + 0.08. Sort 0.4, z, 0.5 in ascending order.\nAnswer: z, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 1.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913931?\nAnswer: 107, 113, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31120 - -1431415\/46. Let a = 328489\/20 + -16420. Find the common denominator of u and a.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2414164*y*z - y - 51135*z wrt y?\nAnswer: 2414164*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = h - 863, 3*n + 5*h - 1445 = -2*n. Let a be (10 - n\/28) + (-98)\/(-8). Let z be (-1)\/(0 - 3\/252). Calculate the greatest common divisor of z and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36363 (base 10) to base 6\nAnswer: 440203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 - 21*g - 5. Let x be k(6). Suppose -6*t + 2 + 22 = 0. Suppose -84 = -3*j - 3*l, t*j - 78 - 44 = l. Solve 12 = 5*b - x, 5*n = -2*b + j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 5551041?\nAnswer: 5551032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -5\/6 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 576 = 2*i + n, -1152 = -4*i - 3*n. Calculate the least common multiple of 3 and i.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, 12, 4, 0.14, 0.\nAnswer: 0, 0.14, 2, 4, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3\/6*(-95)\/(-38)*32\/7100.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*((-4)\/2 - (1 + -4)). Put g, 0, -2, 23 in descending order.\nAnswer: 23, g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20667*n**5\/7 - 319716*n**4\/7 + 818172*n**3\/7 + 71808*n**2 + 69696*n\/7 = 0.\nAnswer: -22\/83, 0, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -194492 + 48?\nAnswer: -194445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -375482, 23, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n + 6. Determine j(18).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 20. Let v(w) = 7*w + 119. What is -v(k) - 6*y(k)?\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46684160 divided by -12416?\nAnswer: -3760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-245))\/(11\/(-770)*10))\/((-3)\/40).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10759\/8 - 40361\/30. Is -1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 - 27*y - 42 + 53*y - 27*y + 7*y**2 as v + n*y + f*y**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011 - -11110011100011101?\nAnswer: 11110011101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1000000211?\nAnswer: 1000000212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1019213450 to the nearest 1000000.\nAnswer: -1019000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.7 (c) -3 (d) 11.495 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-23)\/8 - -1*1\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from dpd.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -14\/1718789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11318357?\nAnswer: 19, 595703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 0 - 3*p**3 - 4*p + 5 + 6. Let i(c) = 5*c**3 + 7*c - 21. Let b be ((-8)\/7)\/((96\/(-56))\/6). Let r(n) = b*i(n) + 7*t(n). Differentiate r(g) wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -266*k - 32714. What is a(-123)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u - 39. What are the prime factors of r(17)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*1\/(-3))\/(-3). Let q = u + 5. Let g(r) = r**3 - 5*r**2 + 3. Let v be g(q). Solve 5*j + v*l + 40 = -2*l, -19 = -2*j + 5*l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = 130574 - 1724117. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = -50*h + 474. Solve -8*g + h*g + 1 = s, -13 = g + 3*s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9299635 divided by -4?\nAnswer: 9299635\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005.\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*f - 136809, 14*f - 16*f = -3*y + 82079. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -63*s + 1926. Determine c(31).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-3 - (1 + -3)). Solve -2*z + i*z = 4*h + 14, 4*h = -5*z - 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1210 and 349085.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1286819*n**3 + 2573643*n**3 - 1286819*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0*b + b - 1 + 0 - 2*b. Let f be x(-5). Suppose j - 20 = 12. What is the greatest common divisor of f and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -4, 2, -4\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 3:48 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.8, -1, -5, -425?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 49.9. Let w = 0.677 + -0.69. Let d = w - 0.187. Which is the smallest value? (a) 0.4 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8680739, 8680734, 8680727, 8680718, 8680707, 8680694, 8680679?\n\"Answer: -d**2 - 2*d + 8680742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5 (b) -2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73, -81, 21, 287, 771, 1527?\n\"Answer: 9*g**3 + g**2 - 74*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 1 - 3)*(4*u - 4*u + 2*u)*(11*u - 4*u + 4*u) in the form r*u + v*u**2 + t and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338 = -59*r - 252 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 2:31 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43995505 is divided by 3142535?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**3 - 3*d**2 + 5*d + 22. What is b(-2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46221, 46176, 46131?\n\"Answer: -45*r + 46266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 70 - 12. Suppose g + g + 3*y - w = 0, 3*g - y = 60. Suppose 6*r = 9*r - 30. Calculate the remainder when g is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-3))\/(8\/12). Suppose -3*o + g = 4. Let 2\/7*a**3 + 4\/7*a**o + 2\/7*a + 0 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11088 and 11781?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + -5.2. Let n = p - -6.1. Let j = n + 0.3. What is the third biggest value in -1, 2, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -20, -39, -64, -95, -132?\n\"Answer: -3*j**2 - 4*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2469 + -27.8631. Let m = -28 - f. Let n = -1.11 + m. What is the nearest to -1 in 3\/5, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018498259 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000126413 to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5 - 0. Suppose 5*u + 10 = -3*g, -5*u + u = -3*g + 35. Solve g*w = -4*l - 13 - 6, l = h*w + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009362337 to seven decimal places.\nAnswer: 0.0009362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -60. Suppose 2*v + 4*x - 8*x = 992, p*v - 3*x - 1494 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15266 + -10190. Is 47 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/40 + 2\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/2)\/(13\/((-13)\/2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 3*r = -99, 5*t - 8293*r = -8295*r + 264 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 8*y**3 + 4\/5*y**5 - 8\/5*y + 22\/5*y**2 - 8\/5 + 22\/5*y**4 = 0.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 7047.6.\nAnswer: 7047.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0121570741 to 5 dps.\nAnswer: -0.01216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*((sqrt(99) - 1*sqrt(99)) + -5)**2 + (-1 + sqrt(99) + 0 - (-5 + (sqrt(99) - (1 + sqrt(99) + sqrt(99))))**2)).\nAnswer: -236 - 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1591?\nAnswer: 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-68)\/(-7140))\/((-3)\/(1809\/(-24))) and 81\/160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 5:43 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, -0.04, -0.3, -6, 2\/3 in decreasing order.\nAnswer: 2\/3, -0.04, -0.3, -6, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 7*q**2 - q - 3. Let u be r(-7). Let y = 0 + 2. What is the second derivative of -u*n - 4*n**2 - y*n + n wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 2*m + 5*m - 3*m. Let u(b) = 6 + 26 - 32 + b**2. What is h(u(k))?\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 11*r**3 + 1683 - 1016014*r**2 + 8*r**3 + 1016014*r**2 as c*r**2 + p*r + t*r**3 + h and give h.\nAnswer: 1683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/((-4)\/42). Let j(y) = -3*y - 5. Calculate the remainder when (-2)\/p + 93\/7 is divided by j(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1989516 is divided by 1040?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqbb when four letters picked without replacement from bqbbqbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20740513 - -13920513. What is h rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 156*d**3 + 1836*d**2 + 6804*d = 0. Calculate d.\nAnswer: -21, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, x: 1, f: 3}. What is prob of picking 1 f and 3 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*y - 19, -2*w = -5*y - 7 + 3. Let q(a) be the second derivative of 1\/3*a**3 + 0 - a + 3\/2*a**2. What is q(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l - 3. Let d be 4\/(-10) - (-48)\/20. Let u be (0 + d\/4)*-6. Let p be i(u). Solve x + p = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 803156 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75860 is divided by 18956?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**5\/3 + 152*i**4 - 2712*i**3 + 24496*i**2\/3 + 25068*i + 14040 = 0.\nAnswer: -130, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10 - (-14)\/(-10). Let y be 4\/(2 - (1 + n)). Suppose -2*q - 10 = -5*m, -m + 0*q - 4*q + 2 = 0. Solve -y*o - m*o - 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:49 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 23. Let c be m\/(-4) - 324\/(-48). What is the units digit of c\/1 + (7 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -987*w = -983*w - 12. Solve t = -0*t + w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (-4 + 1 + sqrt(1377))) + 1)**2 + -2 + 4 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100123748723 less than 1169?\nAnswer: -100123747554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.8 - -0.2. Let g = 3.3 - 2.9. Which is the nearest to -0.1? (a) g (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + x - 3*x)*(0 + 0 + 1)*(3 + 0 - 5).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 214009 + 4194*s + s**2 + 214010 to p*s**2 + l + i*s and give i.\nAnswer: 4194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4 = -4*v, 0 = -2*v - 2*v - 5*u + 22. Suppose 424 = y + v*y. Is (-2 - -3)*y\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 3\/22, 4, -0.1, 2\/87 in descending order.\nAnswer: 4, 3\/22, 2\/87, -0.1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 506051515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/17 - 44*l\/17 + 46\/17.\nAnswer: -2*(l - 1)*(l + 23)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h*j**2 - h*j - 5843*h + j**4 + 4218*j**2 - 2 wrt j?\nAnswer: -6*h*j - h + 4*j**3 + 8436*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h**3 + 15*h**2 - h - 17. Let q(v) = -v**3 + v**2 - v. Let c(d) = -3*q(d) + u(d). Let g be c(12). Which is bigger: g or 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 5, 28, -5 in ascending order.\nAnswer: -5, -2, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(3 - 2 - (-36)\/(-45)). Suppose -j - s = -2*x, -85 = -9*x + 4*x - 3*j. Solve -19*t + x = -24*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -31, 1\/4, 0.2, -4, 6\/7?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11928811178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n - 4. Let z(p) = 4*p - 8. Let b(y) = -5*c(y) + 4*z(y). What is b(-7)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18744 and 6726114?\nAnswer: 295949016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6*2 - 10081\/(-51). Calculate the highest common divisor of o and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 300. Suppose 2*i + 62 = -672. Let v = t - i. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -4.9. Let m = 11\/30 + 2\/15. Let x(d) = 5*d - 28. Let k be x(5). What is the nearest to m in g, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Suppose p*t = -t + 3*l + 8, -t - l + 8 = 0. Suppose -10 + 142 = 6*i. Calculate the lowest common multiple of i and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5 - 16 = -h, 2*h = -6. Let m(n) = -n**3 - 6*n**2 + 4. Let y be m(o). Let i(l) = l - 4*l + y*l. Let a(z) = -2*z**2. Give a(i(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 10*f - 6. Let x be y(-7). Suppose 0 = 3*p - x + 3. Let q be -2 + (-22)\/((-4)\/2). Solve -20 = p*a - q*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292.54546 rounded to the nearest ten?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76 - 63a?\nAnswer: -5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - (101 + -57 - 125).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/866250 and 173\/127050.\nAnswer: 9528750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 2*x**2 + 3*x - 4*x + 53*x**2 + 23*x**2 + 16*x**2 + (x + 2 - 2)*(3*x + 2*x - 3*x) to n*x**2 + i*x + v and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -240859591 plus 1?\nAnswer: -240859590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + (0 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -79315*q + 20304638. Determine x(256).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + 3*sqrt(1008).\nAnswer: -4 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 14*g + 11. Let c(x) = -41*x - 32. Let k(q) = -3*c(q) - 8*d(q). Is k(8) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*z - 4*x, 33*z - 3*x = 29*z - 8. Let n(u) = -u**3 - 2*u**2 + 3. Let j be n(z). Let y = 7 - 10. Sort 3, j, y in decreasing order.\nAnswer: 3, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1194211 - -132559916\/111. Let x = k - 23\/74. Let t = 2\/55 - 4569\/110. Find the common denominator of x and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*y + 120 = t, 5*y = -2*t + 89. What is the remainder when 69 is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**2 - 2*c - 2. Let j(q) = q**2 + q + 1. Let x(m) = j(m) - n(m). Let u(v) = -3*v**2 + 2*v - 7. Determine 2*u(w) + 5*x(w).\nAnswer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 887146 is divided by 478.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y + 5. Let t = 6 + y. Suppose -3*j = 4*q + t, j = -5*q - j. Calculate the greatest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x + 5*r = 15, r = 3. Suppose -q - 8 + 90 = x. Let f = q + -75. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*r = 84*r + 6, -4*s + 108268 = 2*r. Is 62 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62.58 - 69.58. What is the second smallest value in 0.12, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5032511.\nAnswer: 11, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -431223331 (base 5) in base 9?\nAnswer: -3374180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 times -1880.9?\nAnswer: -26.3326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(15) - (sqrt(15) - sqrt(240)))\/sqrt(5))**2 + (5 + 1 + sqrt(75) + sqrt(75) + sqrt(75))**2.\nAnswer: 180*sqrt(3) + 759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (13 + -1 + -12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04773174 and 36?\nAnswer: 36.04773174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrvddkrvvkvlnddkdr. What is prob of picking 1 v, 1 l, and 2 r?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0 + 0*v**4 - 2\/15*v**6 + 0*v**3 + 0*v**5 + 2*v**2 + 2*v. Differentiate y(d) with respect to d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-378)\/(-45))\/7*10. Solve -4*k + 0 = -w, 3*k = -a + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21422 + -128527\/6. What is the second smallest value in -132, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 9:03 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2972938, 5945866, 8918788, 11891704?\nAnswer: 14864614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a centimeter in millimeters?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6891.24 months?\nAnswer: 5.7427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 17209*w + 8501258. Give d(-494).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223*o**5 - 17*o**4 - 4*o**3 + 554263*o - 1?\nAnswer: -4460*o**3 - 204*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {b: 3, j: 1, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2095*g**3 - 1050*g**3 - 1028*g**3.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58058102 and 5.\nAnswer: 290290510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3951723l in millilitres?\nAnswer: 395.1723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*d, 5*d + 11 = -2*k + k. Let n(y) be the first derivative of 3 - y - 8\/3*y**3 - y**2. Give n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*a - 63, -4*s + a = s + 79. Let y be 5\/(s\/18)*-50000. Suppose -4*v + v = -y. What is v rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 40800707. Let p(x) = 12*x**2. Give f(p(w)).\nAnswer: 24*w**2 - 40800707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-15)*4*(-351)\/78\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*n + 22*n + 5*n - 31*n + 23*n - 47*n.\nAnswer: 83*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -2) + (-18)\/(-3). Solve 5*t = -y - y + 22, -c*y + 3*t - 7 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 + -107. Suppose -q + 1336 + 951 = z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5827, 11628, 17431, 23236, 29043, 34852?\n\"Answer: l**2 + 5798*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - b - 5*b)*((4 - b - 4)*(-4 + 0 + 3) + 8*b - 3*b + 2*b) to r*b**2 + y + n*b and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 15 - 173 + 89 = 0. Let l(v) = 3*v**3 + 2*v**2 + v. Let u be l(-1). Put u, r, 6 in decreasing order.\nAnswer: 6, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -213 - -219. Calculate the least common multiple of 3 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -3\/4 (c) -6 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -12. Let g = -103.02 + 103.32. What is the nearest to 0.2 in g, d, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-424)\/954)\/((-2)\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5459 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 5*w = 140 - 140. Solve -4*u = 7*y - 4*y + 5, w = 3*u - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by 49380\nAnswer: 17\/24690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1898 + -1238. What is the remainder when k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33047864261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3826*x**2 + 345*x - 79*x - 80*x - 98*x - 87*x.\nAnswer: -3826*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-32 - (50\/(-5) + -3))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001065435 to 6 decimal places.\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 12*s. Let y(j) be the second derivative of -j**3\/3 + 17*j. Give k(y(p)).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 8:55 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 9*c**2 - 17*c + 27. Let w be y(7). Let j(i) = -3*i**2 + 15*i - 1. Calculate j(w).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkkqhqhh. What is prob of sequence hk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l**2 + 3*l**2 - 2*l**2 - 173*l**4 + 162*l**4 wrt l?\nAnswer: -264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -697 + 698. Which is the closest to 1\/4? (a) g (b) -0.14 (c) 2\/109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-6)*(-16)\/(-20). Suppose 0*a - v*a = -20. Suppose 0*f + 33 = f - u, -3*f + 2*u = -96. Calculate the greatest common factor of a and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 10:27 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 96352, 192668, 288984, 385300, 481616?\n\"Answer: 96316*u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4708538000 to the nearest 1000000.\nAnswer: -4709000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0 - 2, 2*d = f - 248. Let r = d - -312. Does 27 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78178 is divided by 3392?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28948552 to the power of 1\/2, to the nearest integer?\nAnswer: 5380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6 - 2*g**2 + 12 + 14*g - 10 - 3*g + 19*g. Calculate i(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7879114*v**2 + 43146*v wrt v?\nAnswer: -15758228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*j - 3*g, 5*j - 4*g + 154 = 45. Let d = j - -22. Solve -q = -0 + d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69.886 + -70. Let s = v + 0.11400079. What is s rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66635 divided by 29?\nAnswer: 66635\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 2\/15 (c) 0.15 (d) -3 (e) 4 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 1 (c) -4\/9 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -32. Which is smaller: 1\/6 or f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*m**2 + (-2 + 3 - 3)*(7*m - m + 2*m)*(4 - 4 + m).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-69)\/184*(-2)\/(-6). Which is the closest to -6\/19? (a) m (b) -2\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-1 + 2) - -17. Suppose -2*r - g - 18 = 0. Let q = -4 - r. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = 3. Let g be (-1)\/(-4*(-2)\/(-16)). Suppose -v + r = g*r - 5, -4*r + 12 = 3*v. Solve m*k = z - 3, 4*k + v = k - 2*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*t + 0 - 1\/6*t**2.\nAnswer: -t*(t + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826986 is divided by 206732.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -2.4944\nAnswer: 4.9888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1580, -5496, -11742, -20318, -31224, -44460?\n\"Answer: -1165*q**2 - 421*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 44 = 20 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:42 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53750628 and 8748.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -309, -268, -207, -120, -1, 156, 357?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 4*p**3 + 5124*p**2 - 5118*p**2 + p to y*p**3 + f + u*p**2 + i*p and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53367 is divided by 2048.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 a, and 1 l when three letters picked without replacement from {k: 1, m: 1, e: 4, n: 2, l: 7, a: 4}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31213 is divided by 2005?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in 27, -0.82, 2\/11, 36, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.07332 or 4\/11?\nAnswer: -5.07332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31*h**4 - 9 - 4*h**4 + 0 wrt h.\nAnswer: 108*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*r**3*t**2 + 33*r**3 + 5*r**2*t**3 wrt t?\nAnswer: 58*r**3*t + 15*r**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11595*g**2 + 5774*g**2 + 5820*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-24)*(3 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**2 - 7 + 0*r**2 - 9*r - 9 - r**2. Let j be p(-6). Solve -10 = -3*h - j*h, 4*h = -2*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398550 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -417172, 4 in decreasing order.\nAnswer: 4, -5, -417172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 999898?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/28)\/(2\/(36\/3))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(15 - (-1611974)\/(-107464)) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccd when three letters picked without replacement from ccllccllcldclc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (224\/(-24) - (-407)\/37) + 158\/(-93)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + -89. Let w be (i*4\/96)\/(1\/(-8)). Let r(p) = -p**2 + 2*p - 1. Let x be r(2). Sort w, -2, x, 2\/5 in increasing order.\nAnswer: -2, x, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51110 and 269?\nAnswer: 51110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - t - 63 = -g, -5*g + 105 = 5*t. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6405276.90402 and 0.1?\nAnswer: 6405277.00402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q = 20*q + 72. Let p = 41 - 25. Calculate the lowest common multiple of q and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r**3 - 4*r**3 - 2*r**3)*(3 - 2 - 2 + (1 + 4 - 3)*(-2 - 1 + 0)).\nAnswer: -126*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 22 + 2 = 0. Let b be 7\/(105\/r)*(-105)\/6. What is the least common multiple of 10 and (7 + 0)*(-20)\/b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 71707 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azayqiiqaqqxqqqaa. Give prob of picking 1 z, 1 i, 1 y, and 1 q.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-3 + 1) - (8 + (-69)\/21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348200 and 7900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -130, 14.\nAnswer: -130, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -6.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1278 and 24666?\nAnswer: 5253858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = 3*m + 2*z - z, -2*m + 700 = -5*z. Suppose -142*y = -89*y - 67*y + 546. What is the remainder when m is divided by y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -43016066 and 68?\nAnswer: 43016134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -83685 - ((-3)\/24 + (-1254)\/(-304)). What is j rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4 = -w. Let v be (-6)\/10*(-1828)\/(-12). Let u = v - -91. Which is the biggest value? (a) 2 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 42*g + 16. Let p(z) = -2*z**2 - 45*z - 18. What is 6*i(x) + 5*p(x)?\nAnswer: 2*x**2 + 27*x + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 12*z**3 - 71*z**2 + 124*z - 769. Give h(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000110111100010011 (base 2) to base 3.\nAnswer: 1112101210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -578 - -569.56. Let h = 8.46 + x. Which is the closest to 0.1? (a) 1 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(130))\/sqrt(10).\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h - 18*h - 37 - h**3 - 7*h + 32*h to v*h**2 + i + y*h + m*h**3 and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, -2, 25 in ascending order.\nAnswer: -13, -3, -2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -137620000 to the nearest one million.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q. Suppose -4*o - 2*d = o - 8, o - 5*d - 7 = 0. Let k(y) = 63*y**o - 10*y**2 - 3*y**2. What is k(v(l))?\nAnswer: 200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 38 = 3*l, -l - 3*l - 3*r = -50. What is the units digit of (-4)\/l - (-18)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-494)\/57*(-12 + -2 - 1). Let a = t - -558. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 + s. Let p be i(1). Solve -3*z = -4*y - 0*y + 5, -z = -p*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**3 + 3*w**3 + 2*w**3)*(w**2 - 5 + 5) - 590*w**5 - 5*w**5 - 48*w**5 - 1179*w**5.\nAnswer: -1823*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t + 139*t**3 + 14 + 75*t**3 - 4*t**3 - 99 wrt t?\nAnswer: 1260*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**3 + 0*o**3 - 3*o**3)*(3*o - 4*o - o + (-9 + 7 + 9)*(-21*o - 12*o + 38*o)) as c*o + t*o**3 + z*o**2 + x*o**4 + q and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 192, 382, 572, 762, 952?\n\"Answer: 190*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d + 5*d = -3465. Calculate the least common multiple of d and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, 2\/5, 1.6 in ascending order.\nAnswer: 2\/29, 2\/5, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 653*v - 17. Suppose -2*d + 5*y = 27, -5*d + 5*y = 7 + 53. Let z be i(d). What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucxochcxxehhochoxo. Give prob of sequence eo.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 225 or 2479\/11?\nAnswer: 2479\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**7\/63 - 4*a**6\/15 + 3*a**5\/2 - 29*a**4\/9 + 8*a**3\/3 - 3208*a + 2. Determine d, given that k(d) = 0.\nAnswer: 0, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -20. Let s(h) = -21*h**3 + 13*h**3 + x*h - 1 + 5*h**3 + 3*h**2. What is the tens digit of s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7200593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 1, i: 2, n: 5, b: 2}. Give prob of sequence un.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (475\/19)\/(8\/104). What is the greatest common factor of m and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 66. Calculate the smallest common multiple of 18 and (-20)\/16*b - (-1)\/(-4).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 1\/2*m**3 - 1\/2*m**4 + 0 + 0*m + 0*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -412, -416?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b93 (base 15) to base 13.\nAnswer: 7446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 13. Let n = d + 13. Solve 5*w = -2*q - 18, 4*q = w - n*w + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/129586243 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-2))\/((-1820)\/780)*-6*76\/(-36)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33944 and -3.\nAnswer: -101832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + 10 + -1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 - 12.9. Let y = -25 - a. Let d = y - -10.9. Is d smaller than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 255*v**3 + 21*v**2 - 123*v + 166. Is i(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 394 + 138. Let p = -99 + m. Suppose p + 1664 = 3*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**2 + 327*z + 246. Is 18 a factor of p(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -406 - -456. What is the remainder when 91 is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-21) - (-14)\/6. Suppose 0 = f + 2*n + 18, -34 = 3*f - f + l*n. Let p(u) = u**2 - 3. Let i(c) = 6*c**2 - 16. Calculate f*p(q) + 3*i(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z = 3*z + 10*z + 162 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8*z. Suppose 4*w - 43 = 3*l, z*w + 5*l = w - 15. Calculate the remainder when 17 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 82 + 766. Suppose b + 42 = 2*a. Let c = 182 - a. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/14 + 2 + 0. Suppose k - 2*y + 5 = 0, -22*k - 5*y = -18*k + 7. What is the second smallest value in k, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290933 is divided by 143482.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*s - 75 - 142, -2*m = -3*s - 134. Let r = s + 69. What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - v)*(-2 + 5 + 12)*(3 + 2 - 6).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28383 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*1 - sqrt(170))*-2 - sqrt(170))\/(sqrt(1440) + 2*sqrt(1440) + sqrt(1440)).\nAnswer: -sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwz when three letters picked without replacement from {w: 4, k: 1, z: 6}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 216 + 17\/(289\/(-68)). Calculate the greatest common divisor of 14204 and u.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s**2 - s**3 + 11*s + 33 + 9*s - 20 - 15 + 8*s. Calculate z(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, p: 7, m: 3}. What is prob of picking 1 p and 3 m?\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -124\/111949 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15\/4 of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**5 - u**3 - u**2 - 1. Let w(j) = j**4 + j**3 + j**2 + 1. Let s(c) = -a(c) - w(c). Factor s(h).\nAnswer: h**4*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omponmpmmnnosspm. What is prob of picking 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-6 - 2)*3)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (24 - 20) + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibqb when four letters picked without replacement from mimnmqjbbbjb.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 2*t + 144. Let a be o(11). Solve 2 = -q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/5 (b) 1.8 (c) 690 (d) -0.1 (e) 5 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2d8 (base 15) to base 6\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001001000 (base 2) in base 13?\nAnswer: 157b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1114, -4476, -10080, -17926?\n\"Answer: -1121*u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -53145 (base 6) in base 14?\nAnswer: -289b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q. Let l(o) = -5*o**2 + 9*o - 9. Let m(x) = -x**2 + 2*x - 2. Let z(a) = -a**2 - 7*a. Let s be z(-9). Let b(c) = s*m(c) + 4*l(c). What is n(b(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -180438300 rounded to the nearest one hundred thousand?\nAnswer: -180400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634993222.\nAnswer: 2, 29, 10948159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135596 is divided by 187.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -88*c - 9. Let a be f(-7). Let x = 1024 - a. What are the prime factors of x?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*u**3 + 196*u**3 - 52*u**3 - 52*u**3 - 42*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 5*b**2 + 5*b - 9. Let c be s(4). Let f(k) = k + 11. Let q be f(-14). Sort c, 3, q.\nAnswer: c, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from aapaapappa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/30*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/136 and 121\/204.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7 and 1.225.\nAnswer: -5.775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60266503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -206 - -205. Are o and -72\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6*x + 4 = -2*x, 0 = -d - 5*x - 16. Let v be (20\/15)\/(d\/(-9)). Suppose v*i - 16 = -5*a, i + 3*a = 3*i. Sort i, 5, -2, 4 in descending order.\nAnswer: 5, 4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23414*0.1.\nAnswer: -2341.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*((-2)\/(-3))\/(52\/2613) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(8)\/sqrt(4)))**2 + (sqrt(3)*-2)**2*3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1504.6 + -1647. Let f = a + 142. Put 1.6, -2\/3, f in ascending order.\nAnswer: -2\/3, f, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7125 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7402 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 1)*(-1 + 1 + 4*s)*(1 - 1 - 1)*(5 + 0 - 3)*(1 - 9 + 2) to w + n*s and give n.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436 - 286. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.747632ml?\nAnswer: 0.009747632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - 6611?\nAnswer: -6574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367492 is divided by 1766.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -17294.639?\nAnswer: 17289.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561670657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3564, 3645, 3880, 4347, 5124, 6289, 7920?\nAnswer: 10095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 338? (a) 225 (b) 5 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003285 rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(320) + 1)**2).\nAnswer: -1304 - 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from zcuueezeppzz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.017 - 4.017. Suppose 2*q = 3*s + 1, -3*q + 4*s + 16 = -4*q. Let r be (-2)\/q - 49\/(-14). Sort p, 0, r.\nAnswer: p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-44))\/(10 + (-11052)\/1104).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and -5818053568.\nAnswer: -5818053567.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36814 (base 15) in base 13?\nAnswer: 61234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1145653170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209 + -213. Let m = 0 - -0.5. Which is the third smallest value? (a) v (b) m (c) -1.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -207, -307, -407, -507, -607?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616\/2772*18\/328*-7*(-32)\/280?\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(2 + -1 - -1). Suppose -u - 2*u = n. Let v = -4 + 9. Solve v*k + 6 + 4 = u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+2.5449\nAnswer: 3.0449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1 - 3*f - 4 - 4*f**3 + 3*f**3. Let k(x) = -5*x - 8. Let n(d) = -d**3 - d. Let t(g) = k(g) + 3*n(g). What is 8*c(z) - 3*t(z)?\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + 1316?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 3\/2 (c) 3698 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*h = -181*h + 921. Let d(s) be the first derivative of 1 - 8\/3*s**h + 0*s + 7*s**2. What is the second derivative of d(x) wrt x?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*l - 2964 = -122*l + 62*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wjo when three letters picked without replacement from hojowojljwojoojohoh?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2024342, 4048857, 6073368, 8097875, 10122378, 12146877, 14171372?\n\"Answer: -2*c**2 + 2024521*c - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1700) + -1 + sqrt(1700) - sqrt(1700)) + sqrt(1700))**2 + (2*sqrt(1700)*2)**2 - (((sqrt(1700) + -3 - sqrt(1700)) + 5)**2 + -2).\nAnswer: 27199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1531*l + 1819*l - 1933*l + 8)*(-3*l + 3*l + l**3).\nAnswer: 1417*l**4 + 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 390316.4 centuries?\nAnswer: 39031640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1595, -1603, -1617, -1637?\nAnswer: -1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(0 - 3)*1. Suppose y = 4*u + 78793857 + 64406143. What is u rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -879, -1758, -2637, -3516?\nAnswer: -4395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -16, 4.\nAnswer: -16, -5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3519918317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/12*11\/33*9*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (112\/64)\/((-49)\/(-14))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 2469, 0.183, -2\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 + (-27 - -52) + 8 + 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1416, 1402, 1372, 1320, 1240, 1126, 972, 772?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**15)\/d))\/((d*d*d**0)\/d)*d\/d**14*d**(1\/2) assuming d is positive.\nAnswer: d**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-58)\/24)\/((-46)\/(-4)). Let b = 1\/23 + h. Let l be 0\/(2 + 1 + -5). Which is smaller: l or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/5 + -116 + 3. Let o = 112 + m. Solve -g + o = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 184, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -19*b. Let s = 1133\/13 + -87. Are s and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131 or 144411\/1112?\nAnswer: 144411\/1112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1523 (base 6) to base 5\nAnswer: -3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -1)*(2 + -1). Suppose -5*q - 10 = 0, 4*q + 5 = -0*y + x*y. Is y bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/6 - 3163*k**4\/3 - 378624*k**3 - 3376001*k**2\/3 + 2271745*k\/6 + 1126388 = 0. Calculate k.\nAnswer: -5944, -379, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-3)\/sqrt(4))\/sqrt(3).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1083 divided by -1\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*g - 2*g + 1, 4*v + g - 17 = 0. What are the prime factors of 0\/(9\/v) - -37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*x = 194*x + 1176 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 6*s - 12. Let v(d) = d**2 + 5*d - 12. Calculate v(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 3. Let x be g(-5). Let v(q) = 0*q**3 - 4*q**x - q**3 + 0*q**3 - 5. Suppose -3*l - 15 = 3*u, -6*l + 5*u - 15 = -l. Determine v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35721 minus 0.6?\nAnswer: 35720.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f + 8. Let s(x) = 11*x - 11. Let j(r) = 4*i(r) + 3*s(r). Suppose 3*q + 0*q + a - 8 = 0, -3*q + 3*a = 12. What is j(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.38 + -0.62. Which is the nearest to 9? (a) 1\/4 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 + -15.9. Let l = y - -17. Which is the closest to l? (a) -3 (b) 1\/4 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(468) - -1*sqrt(52))**2*2 + (sqrt(208)*-6)\/(1*sqrt(16))*-1.\nAnswer: 6*sqrt(13) + 1664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2789.24 + 2786.24. Suppose -45 = 4*d + 11. What is the third smallest value in -1\/4, d, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16769\/5 + 3365. Let a = g - 331\/30. Are a and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let p(h) = -25*h**2 + h - 10. What is p(f(c))?\nAnswer: -100*c**4 + 2*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 0*s - 4*s)*(1 - 8 + 1) + (-5 + 3 + 3)*(0 + 0 + s) + 1 + s - 1 - 3*s + s + s as h + m*s and give m.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 395 = a + 604, -4*k - 2*a - 804 = 0. Let r = k + 303. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 354 and 2100400?\nAnswer: 6301200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -105362 (base 7) to base 13\nAnswer: -8696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 166. Let i = n - -152.00000198. What is i rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) -2\/11 (d) -414.2 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(23*k**4 + 36*k**4 - 71*k**4 + (-29*k + 150 - 150)*(k**3 + k**3 + 0*k**3)) as s + x*k**2 + r*k + d*k**3 + l*k**4 and give l.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 115 = 5*r - 75, -25 = -h + 5*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 8*w**2 + 6*w + 7. List the prime factors of p(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057062 (base 8) in base 2?\nAnswer: -1000101111000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**2 - 90026*v - 89986*v + 180012*v.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.194 + -18.19399422. Round b to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2326 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3211 and 9971?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3327 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a**2 + 131*a + 21. Calculate q(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214.8 - 214.7. What is the nearest to i in 14, -2\/5, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001202 (base 5) in base 3?\nAnswer: -210200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4686*h**2 + h + 1. Let i(v) = 310*v - 5. Calculate i(u(f)).\nAnswer: 1452660*f**2 + 310*f + 305","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-22)\/(-4) - 20\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 - 1 - 908*m**2 + 1 - 9*m + 4*m**4 - 872*m**2 + 1786*m**2 as j*m**3 + v*m + x + b*m**2 + i*m**4 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-24)\/(-18)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8967441 + 105*p**3 - 8967441 + 16*p**3.\nAnswer: 121*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/12)\/(3\/8). Suppose 0 = 2*q + 4*a - g, -2*q - q - a = -15. Suppose 5 = -0*j + 5*j. What is the greatest common factor of q and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81422*i**5 + 7180*i**2 wrt i?\nAnswer: 4885320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30*5\/225)\/((-14)\/(-24)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/17 + 393042*v**2 + 5580692814816*v\/17 + 50225694115968\/17.\nAnswer: 2*(v + 9)*(v + 1670424)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**3\/2 + 39*q**2\/2 - 237*q - 540 = 0.\nAnswer: -20, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5, 0 = -4*d + 7*i - 9*i - 18. Let c be 4\/((-3)\/9*d). Solve 0 = 4*g - o + 14, -g + c = 3*o + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:20 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**5\/20 + 5*w**4\/12 + 7*w**3\/6 - w**2\/2 + 4*w. What is the remainder when 14 is divided by r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1529 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 0, 0 = 3*v - 4*x + 4 - 16. What is the smallest common multiple of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - (25 + -26 + (2 - -11))) + 8?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16941, -16945, -16949?\nAnswer: -16953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -51. Solve u*g = -3 - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 406324, 3250544, 10970576, 26004328, 50789708, 87764624, 139366984?\n\"Answer: 406318*i**3 - 2*i**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3798 + -72168\/19. Let x be 2 + (-204)\/28 + (-4)\/(-14). Sort x, 1\/8, w.\nAnswer: x, w, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -224, 1 in decreasing order.\nAnswer: 34, 1, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeyeyyyyyey.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 1\/30*y**6 + 0 - 16*y**2 + 1\/105*y**7 - 2\/3*y**4 - 2\/15*y**5 + 0*y**3 + y. Factor s(m).\nAnswer: 2*m*(m - 2)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + -8 - 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 172, -5, 4, -6, 0, -14 in ascending order.\nAnswer: -14, -6, -5, 0, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*k + 10 = 0, 3*w - 2*k = -6*k + 22. Suppose 2*d - 23 = p - 0*p, -w*d - 5*p - 7 = 0. Let n = 4 - 2. What is the least common multiple of d and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -7. Suppose -5*f = 3*z - 15, c*f - 3*z + 9 = 21. Suppose f*x - 11 = 1. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q**3 - 9*q**2 - 3*q + 10. Let w(b) = 3*b**3 - 3*b**2 - b + 3. Let y(n) = -2*r(n) + 7*w(n). What is y(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 109*a**3 + 6*a**2 + 5*a. Let i(h) = -108*h**3 - 5*h**2 - 4*h. Let u(o) = -6*i(o) - 5*n(o). Does 17 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/(-84) + (-16)\/3. What is the tens digit of 3003\/i*(-19)\/(152\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 923.1605nm?\nAnswer: 0.00009231605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 19\/325 (b) -3 (c) -5\/2 (d) -34 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -170 - 6?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470 = 118*d - 128*d. Suppose 664 = 3*j - 605. What is the highest common factor of d and j?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 10) + (-2958)\/(-232).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -28. Let x = g + 15. Let w = 11 + x. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i - 48. Suppose i + 15 = 2*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5022363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 2*a**2 + 9*a - 2. Let z be d(4). Solve -z*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 12080*u + 85*u**2 - 89*u**2 + 12111*u)*(0 + 0 - 5) as q + z*u**2 + k*u and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1414 times -8\nAnswer: 11312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -112.1, 7, -0.1, -3, -4 in descending order.\nAnswer: 7, 5, -0.1, -3, -4, -112.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-228)\/(-15) + 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/180 and 71\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 139.6 and 0.50231908?\nAnswer: 139.09768092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/77 and -19\/147180.\nAnswer: 1030260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.7802 to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/(-28) - ((-3)\/4 - 2). Factor 4*r**3 + 4*r**3 + 4*r**z - 8*r**2 - 4*r**4.\nAnswer: -4*r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10205110 (base 6) in base 16?\nAnswer: -486a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.1 + -27. Let x be -30*(4\/3 + -2). Let m = 59\/3 - x. Put b, m, 1 in increasing order.\nAnswer: m, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3 - 6. Let c be (-121)\/(-66) + (-1)\/i. Is 2 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*s**2 + (-5*s + 4*s - s)*(s + 3*s - 3*s) + 3*s**2 + s**2 - 5*s**2 - 68 + 68 + 21*s**2.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13544886 divided by -23273\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b**5 + 81*b**3 + 4652*b. Let o(f) = 10*f**5 + 41*f**3 + 2327*f. Let h(w) = 11*o(w) - 6*u(w). Find the second derivative of h(r) wrt r.\nAnswer: 280*r**3 - 210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 12 = 2*d, 38*o - 2*d = 40*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 0.3242?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-8))\/((-1)\/4). Let b = 33 + n. Let p(z) = -z**2 + b*z - 35*z - z**3 + 5*z**2. Determine p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-10 - (-28 - -7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*m = -11, 0*p + 3*p = 4*m + 10. What is the second biggest value in p, -9, -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86483?\nAnswer: 197, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 y when four letters picked without replacement from {t: 1, e: 1, y: 5, h: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {j: 2, i: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Let s = -479.79 + 477. Let g = s + 1.79. Which is the closest to f? (a) -3 (b) g (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 - 106. Suppose -2*a = -4*q - 26, 3*a = -2*q + 8 - m. Solve a*p - 2*p + 5 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*o + 4 - 6 + 0)*(325 - 360 + 283) as r*o + c and give c.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7871272 - 5012005. Let k = 257949247\/20 + h. Let a = 14191 - k. Calculate the common denominator of a and -13\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + l = -30. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 59246?\nAnswer: 3\/59246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 - d**4*n + 6*d**3 + 27*d**2 + 2*n wrt d.\nAnswer: 60*d**2 - 24*d*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 2*n**7\/63 - 2*n**6\/45 - 2*n**5\/15 + 2*n**4\/9 + 2*n**3\/9 - 2*n**2\/3 + 36*n + 2. Find g, given that v(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a - 9 = 0. Suppose -2 = -2*k, 0 = a*w - 0*w - 3*k - 162. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-14))\/((-32)\/(-1568)). Solve n*x + 2 = 71*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -31692*d - 348620. Determine c(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 2*v + 5*o, 2*v + 2*v + 4*o = -24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrjrzsvzvvwjzrs. What is prob of picking 3 v?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 10 + 16 = -4*a + 2*c, -23*c = 2*a - 201 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 13 - 12 + 25*k**2 - k**3 + 11 - 6*k**3 as l*k**2 + q*k + s + x*k**3 and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27440\/32928*(-6)\/(-20)*-1)\/(2\/1032)?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31320 and 895752?\nAnswer: 4478760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.9 - -2.9000056. What is a rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -9*r + 115. Sort -5, r, -4, -7.\nAnswer: -7, -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(320)*2) + -3)**2.\nAnswer: 48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 24*z + 2. Let p be w(-4). Find the second derivative of -61*y**2 - 33*y**2 - p*y + 14*y**2 - 43*y - 102*y**2 wrt y.\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 8:40 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5\/2)\/o)\/(o**0*o))\/(o**(10\/7)\/(o\/(o**(13\/5)\/o))) assuming o is positive.\nAnswer: o**(-457\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u = y + 1024, -y = 5*u - 1289. Suppose -d - 1294 = -6*l + l, l - 2*d = u. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*l = -2*l + 160, -4*l + 162 = 5*p. Suppose 2*a = -a + 27. What is the remainder when p is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 131, -2, 1 in ascending order.\nAnswer: -2, 1, 4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - -0.97. Let o = 67 + -67.992. Let q = o + m. What is q rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -8 + -4 - (26 + -5 + -14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -4. Let s(w) = -9*w**3 - 1. Let h(u) = -1227*u**2 + 1227*u**2 - u**3. Give p*s(m) + 5*h(m).\nAnswer: 4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:32 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.54537 less than -4?\nAnswer: -451.54537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4558 - 4556. Which is the smallest value? (a) k (b) 977 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:56 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a factor of 729624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81\/4 of a kilogram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1607, 3215, 4827, 6443, 8063, 9687, 11315?\n\"Answer: 2*g**2 + 1602*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 7) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75.9 - 85. Round z to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(3))**2 - (1*sqrt(75))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 - 7*o - 67. Suppose -4*s = -5*q - 8*s - 62, 2*q + 23 = -s. Is r(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3963 + 3644 = 3*o, 0 = -2*o + 3*z + 5072. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-868)\/1176 + 2\/12.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*(-6)\/(-9))\/(10\/45). Let k(o) = -o - 2. Let s be k(-4). Let p be s\/(-6) + (-3)\/(-9). Sort p, r, 4.\nAnswer: p, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.58*177652\nAnswer: -103038.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 948258911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(((-312)\/(-3640))\/((-72)\/(-160))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.08, -28, -3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 6:20 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**4\/4 - p**3\/6 + 5*p**2. Determine u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31192095?\nAnswer: 3, 5, 11, 189043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 z when three letters picked without replacement from dosamzms?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 356225.3mg?\nAnswer: 356225300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 78.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 + 1 - d**2 + 4 - 3*d**2.\nAnswer: -d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 12*c - 86. Let z = 39053 - 39059. What is w(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 15. Let o(u) = -3*u**3 + 2*u**2 + 2*u. Let d be o(0). Suppose x - 2 + 5 = 0. Which is the nearest to s? (a) -2\/19 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.038 + 0.038. What is the closest to u in -3, 0.4, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -466 or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122722?\nAnswer: 2, 43, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h - 144. Calculate the remainder when 107 is divided by p(22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11167*y**5 + 3*y**2 - 49*y - 2 wrt y.\nAnswer: -670020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 12. Let y = 20 - 14. Let u be (-1 - -1)*(-3)\/y. Solve u = -o - s*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.2 + 1. Let n(v) be the first derivative of v**4\/4 - v**2\/2 - 2*v + 4. Let j be n(0). Sort 0.5, j, t in increasing order.\nAnswer: j, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 66. Let t = p + -16. Suppose 12*m - t*m = -27. Let j(h) = h + 1. Let r(n) = -2*n - 2. Determine m*j(o) - r(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -34, -50, -60, -58, -38?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 210022?\nAnswer: -210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (68\/(-3)*-1)\/((-1)\/(-3)). Find the common denominator of g\/264*(-10 - -1) and 78\/4*10\/360.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3 + 3 - 11*m - 2 - 2*m**2 + 2*m**3. Let v(k) be the first derivative of k**4\/4 - k**3\/3 - 3*k**2 - k - 4519. Give -6*l(i) + 11*v(i).\nAnswer: -i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + 220\/121*-22?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 5:09 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10.58244*131\nAnswer: -1386.29964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 9:52 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*t**2 + 12*t**6 - 3*t**6 + 9*t**6 wrt t?\nAnswer: 2160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 71 - 68)*(-48 - 6*y + 23 + 32).\nAnswer: 312*y - 364","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 39 - (-60 - 147\/(-7))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -233 and 4059.\nAnswer: -945747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 18. Let u(c) = c**2 - 14*c + 8. Let m be u(j). Let k = 55 + m. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y - 2\/105*y**7 - 1\/15*y**4 - 2\/25*y**6 + 0 - 3\/25*y**5 + 0*y**3 + 0*y**2. Factor f(v).\nAnswer: -4*v**2*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c + 29. Give k(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/48 and -71\/64920.\nAnswer: 129840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -26*t**3 + 2*t**2 - 1. Let x be z(-1). Let j = x + -18. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eese when four letters picked without replacement from ehhheshse.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1887*d - 4. Let p(q) = 31*q. Determine a(p(v)).\nAnswer: -58497*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75718 less than 5.05781844?\nAnswer: -75712.94218156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x**2 - 25*x**2 - 20*x**2 + 1120*x + 1125 + 40*x**2 = 0. Calculate x.\nAnswer: -1, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3864 + -2527. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 1037 = -8*x. Suppose 0 = 3*o - 3*z - 39, -5*o + 0*z + x = -4*z. Calculate the greatest common divisor of o and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1927391 by 2.\nAnswer: -1927391\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, b: 2, w: 1, c: 1}. What is prob of picking 1 c, 1 b, and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-1)\/24). Suppose 5*a + 4*g = 30, -4*a - b + 72 = -4*g. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364490 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14428.52 times -0.8?\nAnswer: -11542.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14306 - 8479. List the prime factors of p.\nAnswer: 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1128217 and 1.1.\nAnswer: 1241038.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l - 2*l + 137 - 11*l - 137 - 352 - 38*l + 352 + (0*l + l - 2*l)*(-3 + 1 + 3).\nAnswer: -52*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2 + 93963*y + 939730 = 0. Calculate y.\nAnswer: -10, 93973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 9:36 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f - 14 + 2*f**4 + 13*f**2 - 5*f**2 + 13*f wrt f.\nAnswer: 24*f**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-2)\/6*(-11 + 20). Suppose 5*w - 3 = -13. Let p be (0\/2)\/(w\/(-2)). Solve 4*s + 6 - z = p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 91 - 11. Suppose 0 = -4*q - 8 - 8, -3*a = -5*q - 32. Suppose 5*k = a*t + i, 33 = -0*k + 3*k - 3*t. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 - j + j - 2*j**2. Let k(z) be the third derivative of 0 + 13*z**2 + 0*z**3 + 0*z**4 + 0*z + 1\/60*z**5. Determine k(i(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/660125 and -17\/75.\nAnswer: 1980375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from ffmf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 39*c**2 - 233*c - 318. Determine l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 4*a + 4. Let d be h(-3). Suppose 1 = 4*c + j, 2 = -j - d. Solve 3 - c = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-61 + -27 - 7) - 23?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/14 + -27\/70. Let g = 24 + -7. Let h = g + -17.7. What is the nearest to d in h, -0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f + 5*x - 14, 2*f - 12 = -2*x. Let t = 81 - 17. What is the highest common divisor of f and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**3 - 3*z**2 + 2*z + 2. Let f be y(2). Suppose 6*j - 160 + 112 = 0. Suppose -7*l + j*l = f. List the prime factors of l.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22\/4)\/((-1)\/(-1 - -5)). Let o = t + 52. Round o to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368101303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*r. Suppose r = -2*w + 2*q + 2586, 2*q + 1290 = w - 0*w. Suppose 5*g = -w + 116. What is g rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292913 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 - 202.8.\nAnswer: -203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-2 + 3) + -1. Suppose u*g + g = 4. Solve -m + 0*c = c - 2, 0 = -g*m + 3*c - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31309, -31313, -31319, -31327, -31337, -31349?\n\"Answer: -k**2 - k - 31307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-54.95.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u. Suppose -2*n = -4 - 0. Let m(i) = -4*i + 2*i - i**2 + n*i. What is x(m(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19923, -39846, -59769?\n\"Answer: -19923*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -47. Let h = 0.176 - 0.076. Let o = -5.3 - -5. Which is the nearest to 0? (a) h (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 567323 is divided by 662.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 4180433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 <= 6955097\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 7079450 and 7079446 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 519557.\nAnswer: 519557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(512))\/((sqrt(4) - sqrt(48)\/(-1*sqrt(12))) + sqrt(4)))**2.\nAnswer: 512\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 411886177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 110.5 - 0.4?\nAnswer: 110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -336, -675, -1014, -1353?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002022110 - -1011?\nAnswer: -1002021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 5. Let u be 18 + (-3)\/l*-1. Let c = -6 + u. Solve -o - 3*a + 17 = -2*o, a - c = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 7*g**2 - 5*g + 3. Let q be k(-6). Suppose 5*b = -r + 3, q = -5*r + b + 2*b. Let f be (r\/(-15))\/((-1)\/(-10)). Solve f*w = 3*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {b: 2, k: 1, r: 4, p: 3, f: 3, x: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4398?\nAnswer: 2, 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seventeen quarters of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-25)*l)*l\/l**(-13)*l*l\/l**(-1\/12)*l*l*l**(-2\/55) assuming l is positive.\nAnswer: l**(28411\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) 18.1 (c) -5 (d) -113 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {h: 2, s: 4, x: 2, l: 11}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -1335, -3006, -5339, -8328, -11967, -16250?\nAnswer: -21171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -356*b - 1. Let t be o(-6). What is the remainder when t\/14 + (-6)\/(-4) is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*p + 6 = 0, 2*m - 28*p + 25*p + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30996226?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/11 and 55\/175586?\nAnswer: 1931446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/4 (b) 5 (c) -6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -106, -1965, -1, 5, 0 in ascending order.\nAnswer: -1965, -106, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 23. Let c(d) = -2*d + 11. Let v(s) = 7*c(s) - 3*h(s). Let x be v(-4). Let g(k) = -3*k. Let i(o) = 3*o - o - o. Calculate x*i(b) + g(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:07 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/234 and 111\/260.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 14115502?\nAnswer: -14115466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2884.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*o = 6906 - 13332 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -29*y. Let d(x) be the second derivative of 0 - 1\/6*x**3 + 11*x + 0*x**2. What is d(o(f))?\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-12) - (-12372)\/18. Suppose 0 = -5*r + o + 3. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (3\/30*10)\/((-1)\/(-8)) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 * -1322029\nAnswer: 2115246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-78) - ((-507295)\/715 - (-45)\/165). Is b <= 708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5)\/q)**(1\/11))**(-46)\/(((q*q**(-2\/5))\/q)\/((q\/(q**(-2\/19)*q))\/q*q)*(q\/q**1)**(-2\/7)) assuming q is positive.\nAnswer: q**(630\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11497753 not equal to 11497771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/49 - 101\/147. What is the nearest to 1.1 in 0.2, 3, r, -0.14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90104 divided by -90104\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/y**10)*y))\/((y*y**(7\/2)*y)\/y*y) assuming y is positive.\nAnswer: y**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 237 = -3*g, 3*g - 63 + 246 = -2*m. Let z = 1150\/849 - 6\/283. What is the third biggest value in m, -0.4, z, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 12:08 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*40\/30*1*-24\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 5*d**4 - 5*d**3\/2 - 11*d**2 - 162*d - 2. What is the tens digit of h(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -780188, -1560375, -2340562?\nAnswer: -3120749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*f + 164*f - 69*f + 53*f to the form p + g*f and give g.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 1. Let k be s(0). Let x(a) be the second derivative of a**4\/4 + a**2\/2 + a. Let c be x(k). Solve -c = -3*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288\/407 greater than -2023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 34*s**2 + 2*s + 2. Let a(l) = 1359*l**2 + 81*l + 81. Calculate -2*a(j) + 81*f(j).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 0.5\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/12 - (-8)\/12. List the prime factors of i\/7 - (-752)\/28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 466*f**3 - 232*f**3 + 24*f**2 - 4*f + 4 + 6*f - 3 - 237*f**3 in the form v + u*f**2 + s*f**3 + x*f and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18979 is divided by 1725.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*h + 5, n - 9*h - 5 = -11*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -99023\/5 + 12278771\/620. Find the common denominator of -57\/2 and x.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 1. Let s(z) = -1 + z + 0 + 0*z - 2 - 4*z**2. Let l(u) = s(u) - 3*w(u). Find the second derivative of l(r) wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2 - j**2 + j**3 + 3*j**2 + 2*j**2 + j. Suppose -5*t + 6 = -54. Suppose -4*s - t = -s. Give z(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2ab - -352?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1250, -5, 2, -219 in ascending order.\nAnswer: -1250, -219, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6331552*d**3 + d**2 - d - 7693921 wrt d.\nAnswer: -18994656*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -11\/4, 60362\/17?\nAnswer: 60362\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5918*i = -5966*i + 5760. Calculate the least common multiple of i and 210.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -50\/91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*m**2 + 66*m**2 + 124953 - 124953.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 + 8. Let p = x - 739\/7. Is p >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2. Let z(k) be the second derivative of k**4\/12 + 5*k**2 - 2063*k. Calculate z(j(d)).\nAnswer: 9*d**4 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4668.8 - -4158. What is m rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 397.\nAnswer: 119.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15185687?\nAnswer: 11, 1380517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 263\/7, -2\/15, -1?\nAnswer: 263\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 190650 divided by -7626?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s - 1 = -37 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.945738 weeks in hours?\nAnswer: 158.883984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2513031g to milligrams.\nAnswer: 251.3031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 263*a**2*b**3 + 2*a**2*b**2 - 19*a*b**3 + 42*a*b**2 - 71296*a + 223*b**3 wrt b?\nAnswer: 1578*a**2 - 114*a + 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(847) + 5 + (2*sqrt(847))**2 + (sqrt(1008) - (3 + sqrt(1008) + 0) - sqrt(1008)))*1*3 + 2.\nAnswer: -12*sqrt(7) + 40682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 20*l**3 + 4*l**2 + 14*l - 11. Let r(p) = -2*p**3 + 6*p**2 + p + 3. Let d be r(3). Is g(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 2:34 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 - (4 - 2)*-1. Let i be -2*(u\/(-5) + 3). Suppose -i*r**2 + 0 - 2\/5*r - 2\/5*r**3 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyuu when four letters picked without replacement from yzkzyzyzuyuzu?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-180)*(-2781)\/(-206)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(-4 + (sqrt(152)\/sqrt(8) + 3 - -3*sqrt(1216)))*5)**2.\nAnswer: -21000*sqrt(19) + 4750441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/4*(9010\/4 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2496 + -2580. Which is smaller: n or 0.05?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -28. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 224 = 7*u. Suppose -5*t - u = -t. Let x = 20 + t. Solve 3*a + q = -x, -a - 3*q - 5 = -3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156 - 279. Let g = y + 114. What is the hundreds digit of g + 8 - (1 - 142)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**4 + 1226*o**3 - 4915*o**2 + 6148*o - 2460 = 0?\nAnswer: -1230, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-783)\/54)\/(-29)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**2*n**6 + 2*m**2*n + 2*m*n**2 + 60*m*n - 237*n**6 wrt n?\nAnswer: -600*m**2*n**3 - 28440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6794, -13586, -20378?\nAnswer: -27170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + -6 + (1 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 361723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 7062 = 15*i. Let a = i + 392. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h + 14. Let n(p) = -11*p + 35. Let k(o) = -7*g(o) + 3*n(o). Give k(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -484 plus -35.15375?\nAnswer: -519.15375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:08 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7768.254 centimeters to kilometers.\nAnswer: 0.07768254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (15 - 0) + (1 - (-21 - -2) - 22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 2*t - 4. Let n = -29 - -24. Determine c(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011121111001 (base 3) in base 11?\nAnswer: 1284331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 275 + 64 + 66 + 65 - 4*b - 65*b.\nAnswer: -69*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/8 + 5*d**2 - 22*d. Let x(y) = 173*y. Calculate c(x(s)).\nAnswer: 519*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166165 + -166165. Let f be (-5 + 3)\/(1\/(-2)). Let h be -2 - 1*(-2 - f). Solve s*w - 16 = -h*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -702 - 177*y**2 + 30*y**2 + 563 - 125*y**2 wrt y.\nAnswer: -544*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/((-504)\/(-10850)) + (-2)\/(-3). Suppose 0 = -p*m + 255*m. Solve 5 = -j - m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 9*c**2 - 2*c - 5. Calculate j(-8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 4. Let x be d(3). Solve 0 = -x*a + 4*r - 12, -r + 3*r = -3*a + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(735)*-1*-4*-5)\/((sqrt(3993) - 2*sqrt(3993))\/(-1*sqrt(1584))) + -1.\nAnswer: -1680*sqrt(5)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 + 2*n**2 - 3*n**2 + (17*n - 1 - 95*n - 2)*(-4*n + 3*n + 3*n).\nAnswer: -155*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 204*n**2 + 7*n - 7*n. Let j(i) = 59*i - 233*i + 59*i + 59*i + 58*i. What is x(j(m))?\nAnswer: 816*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*a**3 + 15*a**2 + 17*a**2 + 2 - 30*a**2 as q*a**3 + b + t*a + p*a**2 and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050 (base 9) in base 8?\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.2, -66, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 3*i + i)*(-2 + 0 + 0) + (-6 + 4 + 1)*(-i - 4 + 4) + (2*i - 13 - 11 + 13)*(13 + 0 + 0).\nAnswer: 35*i - 143","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r. Let m(l) be the third derivative of 0 - 3*l**2 + 0*l**3 + 0*l - 1\/6*l**4. Let p(k) = 5*k. Let f(n) = -6*m(n) - 5*p(n). Determine f(s(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 3*s + 12. Let b be 4\/(-10) - 36\/(-15). Calculate the highest common factor of s and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2. Let c(d) = -71*d + 13976. Calculate c(x(q)).\nAnswer: 71*q**2 + 13976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 862, 5839, 19356, 45685, 89098, 153867, 244264, 364561?\n\"Answer: 712*k**3 - 2*k**2 - k + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 1:12 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**8\/20160 - j**7\/2520 - j**6\/360 + 2*j**5\/15 + 6*j**2. Let w(i) be the third derivative of x(i). Calculate w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847.\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*p + 54*p + 236 = -4*a, a + 251 = 4*p. Calculate the highest common factor of p and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/3972148 and -81\/236.\nAnswer: 234356732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.62 - 37.38. Let j = p - -43. Which is the second biggest value? (a) -0.1 (b) j (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**7\/1155 - p**6\/165 + p**5\/110 - 54*p**2. Factor y(j).\nAnswer: 2*j**2*(j - 3)*(j - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 4, 5*s + 11 = -y - 3*y. Let n = -8.7 - -9. Which is the nearest to s? (a) n (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.07272 - -0.12?\nAnswer: -1.95272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -449\/8 + 56. Which is the second biggest value? (a) v (b) -1\/10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -505?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 35 + 35 + (-1 + 0 + 2)*(16*j - 16*j + 6*j**2).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**3 - 25*f**2 - 337*f - 2631. Let u be q(-8). Suppose -o + 5*h + 6 = 0, -6*h = 4*o - 2*h. Which is the nearest to u? (a) o (b) 1\/3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t - 4*q, t + 5*q - 25 + 4 = 0. Let h(x) = -5*x - 35. Let b be h(-9). List the prime factors of (16\/t)\/(b\/165).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39, 30, 19, 6?\n\"Answer: -i**2 - 6*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -5*d - 2*c - 5, 0*d = 2*d - c + 39 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.07 - -1.97. Let a = 1.997 + 0.003. Let p = -0.06 + -0.14. Sort -6, a, p, k in decreasing order.\nAnswer: a, k, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.042+-0.021794\nAnswer: 29.020206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441863930.\nAnswer: 2, 5, 44186393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2*f + 14, -8 = -r - f - 2*f. Let p = 11 + -3. Suppose 4*z = -2*g + 10, -r = -2*z - p. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 191 = -5*b - 0*j + 154, -3*b + 5*j - 108 = 261 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(153)*2)\/sqrt(9) + (1 + sqrt(1088))**2.\nAnswer: 19*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(49 + 5*i - 5 - 3*i).\nAnswer: -2*i - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15235042.\nAnswer: 2, 101, 199, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*c + 23*c + 9*c**2 + (2 - 2 - 2*c)*(0*c + 3*c - 4*c) in the form l*c**2 + u + g*c and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6703838 to the nearest integer?\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 1:11 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2276217821?\nAnswer: 331, 6876791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 5*j**2 - 5*j + 1. Let v be d(-4). Suppose -u = -4*h - 0*u + 42, 34 = 4*h - v*u. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)*x**17\/x)\/(x**(-3)*(((x*x**(-14)*x)\/x)\/x)\/x))**(-29) assuming x is positive.\nAnswer: x**(-783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 21. Solve -d*r + 10 - 1 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/5 (c) -1\/4 (d) -0.415 (e) 85 (f) -2 (g) -187\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**5*q**5\/q)**(-4)\/((q\/q**(-1\/5)*q)\/(q\/q**(3\/5)))**(-5\/2) assuming q is positive.\nAnswer: q**(-71\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p*p**3)*p)\/p)\/p**(7\/2))**(-3\/7)\/((p**(-2\/9))**(-42)\/(p\/p**(-2)*p*p*p)**21) assuming p is positive.\nAnswer: p**(4981\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 7)*(-8*u - 66*u - 15*u) to the form s*u + a and give s.\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2708331067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-9))\/((-20)\/24)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -25. Let y = a - -8. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20 + 21)*-2)\/(4\/(-678122)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 + q**2 + 2*q + 1. Let f(n) = -1412*n**3 - 1059*n**2 - 2118*n - 1059. What is -f(b) - 1059*t(b)?\nAnswer: -706*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p**2 + 15*p**2 - 2*p**2)*(3*p + 3*p**2 - 6*p**2 - p) to the form g*p**2 + r*p + f + y*p**3 + b*p**4 and give b.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43, -82, -107, -112, -91, -38, 53?\n\"Answer: b**3 + b**2 - 49*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -6 + 0*r**4 + 0*r**3 + 171\/5*r**5 - 84*r + 0*r**2. Differentiate y(c) wrt c.\nAnswer: 684*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from dsldncxx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -223.08 and -33.\nAnswer: -256.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((70\/45)\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-6) - (-323)\/(-1938).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000223958 to 6 decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 96*g - 255. What is m(-93)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116046 (base 9) to base 5.\nAnswer: -4220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -556, -572, -588?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5821874830 to the nearest integer?\nAnswer: 76301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 679134, 1358506, 2037870, 2717226, 3396574, 4075914, 4755246?\nAnswer: 5434570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 3*y**4\/4 + 374*y**3\/3 - 5*y**2\/2 - 71*y - 209. Find the second derivative of k(s) wrt s.\nAnswer: 18*s + 748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84, 296, 628, 1062, 1580, 2164?\n\"Answer: -3*r**3 + 78*r**2 - r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 110*r + 232. What is s(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -137*s. Let z(g) = -275*g + 1. Give -5*c(w) + 2*z(w).\nAnswer: 135*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/112 and 79\/4144.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 248595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (12*b + 0*b + 8*b)*(-5*b**2 + 3*b**2 - b**2) + (-2*b + 3*b + b)*(b**2 + 3*b**2 - 2*b**2).\nAnswer: -56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2*o**4 + 3 - 4*o**2 + 28*o**3 - 28*o**3. Find the second derivative of q(p) wrt p.\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42447 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21846 + 12846. Round h to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -13)*(28\/(-7) + 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 289.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -639623 divided by -439.\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 38. Calculate the remainder when 23 is divided by n(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -237042 divided by -79014?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**5\/140 + 65*t**4\/28 + 4225*t**3\/14 - 228*t**2. What is p in z(p) = 0?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1777781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 5. Let n be w(-3). Suppose 75 = n*r + r - 3*q, 5*r - q = 117. What is the units digit of (-1)\/((-3)\/(r - -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94465230 + 94465227.59999892. Let c = h - -2.4. Round c to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/39)\/(2\/(-6)). Which is the second biggest value? (a) -4 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 13*w - 13. Let c be p(12). Let s = -464 + 466. Sort -3, c, 4, s in descending order.\nAnswer: 4, s, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - f + 1870 = 0, -y + 0*y - 460 = -4*f. Let x be (-195)\/y - (14\/12 + -1). Suppose 3*n + 0*n - 15 = 0. Sort 0.1, n, x in decreasing order.\nAnswer: n, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35055 - 11374. Suppose 4*w - 11*b - k = -16*b, w - 5924 = -5*b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/37356 and -133\/240.\nAnswer: 747120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -915*s**2. Let q(j) = -56073*j**2. Determine q(l(y)).\nAnswer: -46945717425*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 1539*s - 7675. Give k(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from uuiyviuul?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p**(-6)\/p)\/(p\/((p\/(p\/(p**(-10)*p*p*p*p)))\/p)))\/(p**(2\/35)\/(p*p**(-1\/4))) assuming p is positive.\nAnswer: p**(-1583\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25b - 3?\nAnswer: -25e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*a + 2 = -395*a. Suppose 2*q + 3*x - a*x - 1257 = 0, 3*x + 3170 = 5*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 3) + -1 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9b17a - -72a?\nAnswer: 9b8a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + x = -4*x - 680985, -5*s + 3404991 = -3*x. What is s rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.78 - 0.792. Let k = o + 0.212. Let d be ((-2)\/(-6))\/(2\/(-4)). Which is the biggest value? (a) -3 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430325 > 11618740\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047 * 2354.\nAnswer: -110.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 635959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzw when three letters picked without replacement from zmcgwgczzgccggimgzgc?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -10486 (c) -788\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**2 - w - 19. Let c be p(6). Let h = c + -925. Is (-4 - (-28)\/8)*h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let l be v*2*(-2)\/8. Solve l*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 1. Let n be h(-2). Let o(l) = l**2 - 1. Let d(c) = 3*c - 343592*c**2 - 6 + 343595*c**2 - c**3 - 2*c + c - c**3 + 4. Give n*d(x) - 3*o(x).\nAnswer: -2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.1 + -9.1. What is the biggest value in -0.7, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*d - 65, 3*d = 2*t + 230 - 180. What is the smallest common multiple of 472 and d?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33746595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 944 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i**2 + 2*i**3 + 8*i**2)*(5*i - 3*i - 5*i**2 - i**2).\nAnswer: -12*i**5 + 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38844150 and 1100?\nAnswer: 854571300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-575849.\nAnswer: 2879245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 14. Let d be m(8). What is the third derivative of -3*o**2 - 6*o - 5*o**6 + d*o wrt o?\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 11*i**2 + 4*i + 16. Let v be l(-9). Let o be 6\/(-4) + v\/(-4). Let s = -34 - o. Solve 0 = 3*q + s, 5*x + 2*q + 7 + 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/3 (c) -3 (d) 0.4 (e) -6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1451, 6464, 11473, 16478, 21479?\nAnswer: 26476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -3160 and -3140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnduudcxrru. Give prob of sequence nc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by 76559.\nAnswer: -130\/76559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2\/5 (b) -0.1 (c) 16 (d) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 21*b = -5*h + 45576, -3*h + 3*b + 27333 = 0. What are the prime factors of h?\nAnswer: 2, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.181 - -1.381. Let s = 0.1 - 2.1. Let i = s + 1. What is the closest to g in 4, i, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1224 and -125\/54.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) 2\/3 (c) -28 (d) 4 (e) -59\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -5, -0.8, 11\/3, 7?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.076, -1\/2, 0, -17, -0.07 in descending order.\nAnswer: 0.076, 0, -0.07, -1\/2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3630*a + 65 = -3625*a, 0 = -3*f + 3*a - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6202 is divided by 69?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20496 is divided by 1137.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 17*x - 217*x in the form m*x + q and give m.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = 88. Let l = c - -146. Let t = l + -40. What is the highest common divisor of 80 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 + 969*i - 5868.\nAnswer: 3*(i - 6)*(i + 652)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -7, 179 in decreasing order.\nAnswer: 179, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19\/72 + -7\/18. Let a = -0.02 - 0.08. What is the second biggest value in a, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15232 = 5678. Suppose -4*f - 626 = -y. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -192968 <= -192968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, p: 4, e: 1}. Give prob of picking 1 o, 1 e, and 2 p.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 0.2. Let k = -0.09102 + -0.00898. Suppose -5*f - 2*i - 7 - 6 = 0, -4*f = -4*i + 16. What is the nearest to k in f, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19449403\/120 + -162077. Find the common denominator of x and 145\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/4 (c) -347 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n*n)\/(n\/n**1)*n**(-1)\/n*n**0)**(-44) assuming n is positive.\nAnswer: n**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 32*a - 51. Let m(j) = 4*j - 9. Let n be m(7). Suppose 4*g = -5*r + n, -2*r + 4*g + 0 = -2. What is the remainder when a is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 4. Let y be u(4). Let k = 8 + y. Is -2 + k + 259 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 59. Let b be (54\/a)\/(5\/(-35)). Calculate the highest common factor of 18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let t = -17 - -16. Let i(k) = -k + 1. Let f(a) = -1. Let d(p) = -f(p) + i(p). What is t*d(b) + 3*j(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 2*g**2 + 4*g**2 + 2*g**2 + 101 - 32 - 25.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.069 (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1267\/485 + 234\/97. Let n be 8\/20 + 92\/(-5). Which is the fourth smallest value? (a) 1 (b) n (c) 2\/19 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -30723.\nAnswer: 2\/30723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -94 times -0.38377\nAnswer: 36.07438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, -7, -19, -35, -55, -79?\n\"Answer: -2*i**2 - 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 32 = -5*n, -28 = -0*n + 5*n + y. Does 10 divide (-1)\/n + 118\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.2, -5, 173, 1\/2, -4\/237 in descending order.\nAnswer: 173, 10, 1\/2, -4\/237, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*-13 + (9 - (-400)\/(-48))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 23180168\/(-18) - 4. Let g = -1291149 + z. Let t = 3370 + g. Calculate the common denominator of 25\/6 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*a = -94*a + 50 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 857 divide 337847124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/65 - (-288)\/(-520). Which is the closest to -1\/6? (a) -4 (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 9*j - 10. List the prime factors of s(-13).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**3 - 9*j**2 + 21*j - 49. Is z(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -w - 7, -5*w = -0*s - 4*s + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -13. Let t(r) = -7*r**2 + 7*r + 6. Let a(h) = -8*h**2 + 8*h + 7. Let x(p) = z*a(p) + 7*t(p). Factor x(q).\nAnswer: -q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 22*a + 179. Let k be o(-8). Solve 4 = 2*c - k*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -15 + (2 + -11 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**5 + 213*h**3 + 7*h**2 - 10714*h wrt h.\nAnswer: 60*h**3 + 1278*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b3b - 1?\nAnswer: -3b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538381.\nAnswer: 3, 19, 44533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-9)\/z)\/z**(-3\/2)*z**(-5\/4)\/(z\/(z**6\/z)))**16 assuming z is positive.\nAnswer: z**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -386*b**3 - 109*b**2 - b wrt b?\nAnswer: -2316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 33 - (-2654 + 2665)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + p - 12, -79*a + 78*a + 4*p = 13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9438284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/10)*(-34236)\/6340.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111001011101011101 (base 2) in base 11?\nAnswer: -479807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.47? (a) 6 (b) -1.4 (c) -0.1 (d) -2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 14)\/(7\/5). Let g = l + -185\/14. Put 0.1, g, 4 in decreasing order.\nAnswer: 4, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(7\/10)\/d))**(11\/2)*d**(-25)*d**37*d*d*d)**28 assuming d is positive.\nAnswer: d**(3101\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 15*y + 6. What is l(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10*2*1\/(-5). Suppose 4*t - c + 20 = 5*i, 5*i + 4*t - 24 = 0. Solve 0 = -i*h - 9 - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52 - -73 - -94 - (1 + 0)) + 1 + -11.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -291 - -270. Let n(t) = 2*t - 2. Let f be n(-2). Let j be 14\/p*(-9)\/f. Sort -0.3, -3, j.\nAnswer: -3, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g - 0. Let j = 2137 + -2113. What is the greatest common divisor of g and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 5)\/(4 + -5). Let n = 11 - 6. Which is the third biggest value? (a) n (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14*f**2 - 92*f + 752. Determine c(-11).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138000 is divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*j + 8*j + 8*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/44)\/((-1)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 921 - 919. Let v(c) be the second derivative of -c**3 + 1\/12*c**4 + c**y + 4*c + 0. What is v(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9\/7)*m**6*(m**2)**47 assuming m is positive.\nAnswer: m**(691\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 1:26 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 41*v**2 + 149*v - 104. Determine h(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54843986 to the power of 1\/2, to the nearest integer?\nAnswer: 7406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -16. Let k be 27\/h + (-2)\/4. Let z(i) = -i**2 - 5*i + 2. Let g be z(k). Which is smaller: 3\/5 or g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 12:21 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*m + 365*m = 50040 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, -6\/7, 0.8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -113\/99 + 15\/11. Suppose p + 2 = -p + 4*s, 0 = -5*p + 3*s + 2. Put p, u, -1\/5 in descending order.\nAnswer: p, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 72*d**4\/5 - 1476933*d**3\/5 - 7094808*d**2 - 283866048*d\/5 - 757074432\/5 = 0.\nAnswer: -8, 492887\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 19\/((-45)\/9 - -2)*-18*8.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r*s**2 + 19465*r*s - r + 2990 with respect to s.\nAnswer: 2*r*s + 19465*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/4, -0.1, -4.\nAnswer: -4, -1\/4, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 3*q**2 - 9*q + 5. Calculate u(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2*q*u*v - 3*c**2 + 165*c*q*u + 9*c*u*v**2 + 7*c*v**2 - 2*q*u*v**2 wrt q?\nAnswer: -c**2*u*v + 165*c*u - 2*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 4:33 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 67673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476299714?\nAnswer: 2, 11, 19, 1139473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 37*j**2 - 1769*j - 5631. Calculate l(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 285316 divided by -1\nAnswer: -285316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 30941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(980) + 2*sqrt(980))*-1 + sqrt(980) - sqrt(980))*2)\/(sqrt(48)\/sqrt(3) - (sqrt(576) + 2*sqrt(576) + sqrt(576))).\nAnswer: 21*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723920187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**5\/5 + c**4\/4 + 3*c**2\/2 + 38*c - 1. Let v(i) = 5*i**3 + 2*i**2 + 2. Calculate -2*b(z) + 3*v(z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 915.13 less than -1228150?\nAnswer: -1229065.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 152 + 366. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-3) + 138\/18. Let d = 12 - t. Solve -3*f - b - 8 = 0, 4*f + d + 5 = -3*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 27 - 101 = 2*z, 12 = 4*z. Let s be 26 - (-6 - -4)\/(-4)*-10. Let i = s + n. Solve -2*w - 2*k - 7 - i = 0, -3*w - 4*k = 31 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 49 = w, 0 = 5*i - w - 93 - 37. Suppose 2*l + 925 = i*l. Calculate the remainder when (-434)\/(-6) + 1\/(-3) is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.4 + 42. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-2))\/(21 - 20). Suppose -o*k = -2*d + 1194, 0 = -3*d + k + 2*k + 1773. List the prime factors of d.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - p**4 - 3*p**4 + p**4 + p + 7*p**4 in the form b*p**4 + j + c*p**3 + q*p + z*p**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3511444*g**2 + 8781022*g.\nAnswer: 7022888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77)*-4 + sqrt(77)) - sqrt(77)) + sqrt(77))*-3*-2)\/(sqrt(132)\/(sqrt(108)\/sqrt(9)*5)).\nAnswer: 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukaurtx. What is prob of sequence ut?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -198, -187, -158, -111?\n\"Answer: 9*k**2 - 16*k - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 11) to base 9\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/2673)\/((5\/(-9))\/5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, -26, -23 in descending order.\nAnswer: 5, -23, -25, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = -4. Let q = w - 2. Let p(f) = -42*f. What is the tens digit of p(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-6479 - -6494)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1682 - 61.\nAnswer: -1743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 - 18*s**2 + 9*s**2)*(-3 + 4 + 1)*(1 - s**3 - 1).\nAnswer: 30*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40701\/10 - -4640669\/1140. Find the common denominator of r and 2.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 430 = -18*c, 3*t + 18 = 9*t + 2*c - 3*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -358.1 - -300. Let l = a + 58.100233. Round l to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363983854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 212775 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*g, -2*g + 9 = -q + 2*g. Suppose k - q*k = -3*d + 415, 689 = 5*d - 4*k. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqyyqqy. What is prob of sequence rq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -279, -299, -315, -327?\n\"Answer: 2*n**2 - 26*n - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 108, 117, 128, 141, 156, 173?\n\"Answer: l**2 + 6*l + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -209248 rounded to the nearest 1000?\nAnswer: -209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = 4*s + 5*n, 5*s = 5*n + 25. Let l(j) = 2*j**3 - 2*j**2 - 2*j + 1. What is the units digit of l(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*k - 416*k = 52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 20*f**2 - 5*f**2 - 9*f**2. Let x(u) = -2*u**2. What is x(r(w))?\nAnswer: -72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 173051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.5 - -4.5. Let s = m + -15.4. Let v = s - -2.5. Is v less than -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229679411064 take away 418?\nAnswer: 229679410646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 9\/(27\/(-12)). Let t be 3 - (i - -1) - -55. Let g = 80 - t. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909504 divided by 6?\nAnswer: -151584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-20) - -3)*(-8 - (-697)\/85).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-28)*2*-8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/53 and -73\/4.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -305, 0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 2\/11, 0, 1 in descending order.\nAnswer: 1, 2\/11, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine quarters of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 742.12068637?\nAnswer: 742.13068637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -34*i + 172. Let g be j(5). Solve -5*v + g = -23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1488392.95 to the nearest 1000.\nAnswer: -1488000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-6*(sqrt(700) + 0))**2 + -1 + -2.\nAnswer: 100797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 30*h - 13 = 33*h, -4*r - h = -24. Suppose 10 = r*m, 2*m + 1346 = 2*s + m. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i - 63*i - 300*i - 94*i in the form b*i + n and give b.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -5*d**3\/3 - 5. Let m(t) be the first derivative of -2*t**2 + 12. Give q(m(u)).\nAnswer: -80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/11, -0.2, 0 in ascending order.\nAnswer: -3, -0.2, -1\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2361601 is divided by 416?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h + 45*h**2 - 129*h**2 + 67*h**2 to n*h**2 + v*h + l and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 770760, 1541649, 2312538, 3083427?\nAnswer: 3854316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Suppose 4*w - 4*q = 84, -5*w + 4*q + 52 = -a*w. Let s be 22572\/176 + 1\/(-4). Calculate the greatest common divisor of s and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -786*i - 6046. Give d(-8).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 + -160 - (2 - 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*x**2 - 2*x**4 + 2 - 4 + 50*x**2 + x - 3*x + 51*x**2 - 130*x**3 in the form j + z*x**3 + y*x**2 + n*x + l*x**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31249192543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*2*(-6)\/18?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 less than -0.1126236175?\nAnswer: -266.1126236175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3648 - 3648.00010776. What is s rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u + 36. Give t(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 - 5) + 8 - (10 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/6 + q**4 - 2*q**3\/3 - q**2 + 5*q\/6 = 0. Calculate q.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1383493040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 97, -699, -2253, -4817, -8643, -13983?\nAnswer: -21089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2266\/3 - 756. Let r be 2*(1 + -2 + -10). What is the common denominator of (r\/(-3))\/(2\/(-4)) and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25868 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1851045 and 390.\nAnswer: 48127170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 16*p**2 + p + 21. Let h be s(-16). Which is the closest to 3? (a) h (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, 1198, 105, -2.\nAnswer: -4, -2, -1, 3, 105, 1198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1251\/7 - -179. Let k = -12 - -3. Let y = -9.6 - k. Which is the closest to 1? (a) j (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8312687945839\/290406906 - 5\/16133717. Let b = -28632 - z. Calculate the common denominator of -69\/20 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from ipvziivivpvvvvvivvpv?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 7\/(0 - -1). Let p = -45834 + 45831. Put 11, 0, p, k in descending order.\nAnswer: 11, k, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -420 + 792. Suppose 21*c = 27*c - j. Let t = c - 51. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002741 to four decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1930*f**4 - 96*f**2 - 2 wrt f?\nAnswer: -46320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycy when three letters picked without replacement from {c: 3, u: 9, e: 3, y: 2, l: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(7\/(-4)*10\/5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 1 = -2*n - 25, 5*v - 28 = 3*n for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3*h - 2*q + 799, -h = -3*q - 253. Suppose 5*p + h - 1038 = 0. Calculate the highest common factor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837086130?\nAnswer: 2, 5, 283708613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28359034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -12. Let x be z\/2*9\/(-3). Let t(i) = -2*i - 8. Let r be t(x). Solve 1 = p - r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9845*i**2 + 0 + 9370*i**2 + 4 - 2.\nAnswer: -475*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b = 4*j - 16, b = 4*j - 31. Solve y + j = 9 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3\/11 - 277292*h**2\/11 - 6099690*h\/11 - 32438016\/11 = 0. Calculate h.\nAnswer: -138624, -13, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1393, 5037, 10939, 19099, 29517, 42193, 57127?\nAnswer: 74319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 733 (base 12) to base 8.\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.3 + 10.4. Let x = i + -31. Let w = x - 0.7. What is the smallest value in 3, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*u + 253, -3*w - 67 = -4*w - 5*u. What are the prime factors of w\/2 + -10 + 14?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let d(z) be the first derivative of -z**3\/3 + 4*z - 4. Let v(f) be the first derivative of d(f). Determine n(v(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -17.75. Let s = u + -1.75. Does s = -0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 1. Let o(y) be the second derivative of y**3\/3 - 7*y**2\/2 + 11*y. Let a(j) = -5*d(j) - o(j). Let g be 2 + 0\/(0 + -1). What is a(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 32?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 833 + -1466.2. Let s = b - -567. Round s to 0 decimal places.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13072*v = 13104*v - 1984032. What is the ten thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 4, 0, 75, 71, -5.\nAnswer: -171, -5, 0, 4, 71, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 338*d**2 + 1 - 323*d**2 + 1.\nAnswer: -661*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11870700*o**6 + 8769198*o**2.\nAnswer: 1424484000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p + 9*p - 6*p - 7*p. Let f(x) = -20382*x**2 + 946*x - 3784. Let q(k) = 129*k**2 - 6*k + 24. Let l(j) = 6*f(j) + 946*q(j). Determine l(a(g)).\nAnswer: -258*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 5)*28 + -2. Solve -15*l + 4 = -p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67216.\nAnswer: 2, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8461 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 17c43b?\nAnswer: -17c43f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5520 and 29.68083.\nAnswer: -5490.31917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 6:04 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-1\/14))**(-27)*((b*b\/(b*b*b\/(b*b**1)*b*b*b)*b)\/b)**(-6)\/(b\/(b**(3\/2)*b)*b**5) assuming b is positive.\nAnswer: b**(46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (20 + -30 + 45) - 25?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 92 + 94 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 695*s**2 + 161*s - 235. Is i(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*z + 2964 = -351*z. Calculate the highest common divisor of z and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*m + 39 = 0, 2950*g - 2949*g + 15 = -4*m. Let y = 28 + -16. Solve g*r = y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**2 + 5*n + 7. Let z be r(-2). Let j be (-1141)\/(-315) - 9\/z. Is 3 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210664 + -210662.59979. Let w = 1.4 - l. Round w to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -16 + 4, -s = y - 6. Factor 10*g + 5*g - g**2 + 25*g**2 + 3*g**3 - 14501 + 0*g**y + 14459.\nAnswer: 3*(g - 1)*(g + 2)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7282390 is divided by 2652.\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 5*d**2 + d - 2. Let s be z(2). Suppose 2*k = -k. Let u be 48\/27 + 2\/9. Solve k = 2*p - s*p + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103506 divided by 34502?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4489\/9 + 497. Let g = 1628938\/187 - 8711. Find the common denominator of j and g.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-35))\/(((-28)\/(-40))\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 3303120.\nAnswer: 9909360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -405*d**2 - 2 - 1 - 50*d**2 + 68*d**2. Let y(b) = 2*b. What is c(y(i))?\nAnswer: -1548*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5450 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*g + 2*g + 5*g)*(-4 + 1 + 2) + 97*g + 89*g - 43*g)*(6 - 2 - 2)*(-2*g + 6*g - 2*g).\nAnswer: 564*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333032 divided by -3316?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.9 + -30.9. Which is the nearest to -0.1? (a) j (b) 2\/7 (c) -30 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2440 and 305?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102.86 - -0.14. Let n = -103 + x. Let w be (5 + -1)*2\/(-6). Which is the closest to n? (a) -5 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9785?\nAnswer: 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*d**5 + 2*d**3*y + 49500*d**2*y + 2*d*y - d - 5850733 wrt d?\nAnswer: 880*d**3 + 12*d*y + 99000*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(((-104)\/13)\/(-4)*(-1)\/1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, d: 3}. Give prob of sequence de.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 8*t + 65*t**2 - 65*t**2 in the form n*t**3 + c*t + v*t**2 + s and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8130 and 2.\nAnswer: 8130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z. Let c be m(7). Let p = 70 + -69. Let a be -3*p*(-7)\/63. Are c and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = h + 5*s + 26, s = 2*h - 117. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 220*x = -219*x + 7, 3*c = x - 8. What is the closest to 2 in -0.02, c, -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 9*p**2 - 20*p + 27. Let i be d(-11). Let y = 0 - -6. Sort -5, i, y, 0 in descending order.\nAnswer: y, i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 158.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8018204 divided by -23174\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 935*t = 942*t - 9905. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494613291?\nAnswer: 3, 139, 499, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2151, 2243, 2573, 3261, 4427?\nAnswer: 6191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 2 - (2 + 3 + -10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-73398039\nAnswer: -366990195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -4*r - 67. Let w = -41 - r. Suppose p = 6 - 4. Solve -p*n = n + w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k**2. Let u(j) = -8*j**2. Let l be (15\/9)\/(1\/(-3)). Let i(o) = l*f(o) - 6*u(o). Let y(v) = 3*v**2 - 3*v**2 - 8*v**2. Determine i(y(t)).\nAnswer: 192*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 - 17 - -1) - 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -407, -222, 2.2.\nAnswer: -407, -222, 3\/7, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000146748375 rounded to seven dps?\nAnswer: 0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcjjbbottfbjj. Give prob of picking 1 b and 1 f.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*m + 49401549 + 108052451 = 0. What is m rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*v + 3220, -3915 = -4*v - 2*u - 1345. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -0.2, -1 in descending order.\nAnswer: -0.2, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*j**3 + j**2 - 9*j - 27?\nAnswer: -714*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149483086?\nAnswer: 2, 3, 281, 424967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/5 + 21150*z + 186384375.\nAnswer: 3*(z + 17625)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Suppose -q + 116 = u*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -76 (b) -15 (c) -10 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 - 43*a - 3 - a**3 - 16*a**4 - 15*a**4 + 6*a**3 + 29*a**4 to the form t*a**3 + s*a**2 + w*a**4 + v + c*a and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 27*k - 12. Let q(g) = -6*g - 18. Determine q(p(r)).\nAnswer: -162*r + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*m - 3*l, -3*m - 5*l - 13037 = -12999 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 12) in base 16?\nAnswer: -1d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 190*u**2 + 3*u - 570 wrt u.\nAnswer: 380*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 7*g**2 + 5*g + 6. Let v(u) = -u**2 - u - 1. Give -5*v(s) - w(s).\nAnswer: -s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from btwycwbcwco.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 1. Suppose 2*f - 4 + 2 = 0. Let a(u) = -u**2 + 5*u - 29. Let g(s) = s**2 - 6*s + 36. Let p(t) = 5*a(t) + 4*g(t). Calculate f*y(w) - p(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - 24. Let j be 68\/6*(-57)\/o. Let a(v) = 4*v**2 - 6*v + 7. Let c(q) = -11*q**2 + 17*q - 20. What is j*a(r) + 6*c(r)?\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6424 - 6427. Does -41.9 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by 7425.\nAnswer: -104\/7425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-8)\/220)\/(6\/1140*8).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -534*m - 3302. Calculate b(-6).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l + 485. Let s be t(0). Let y = s + -271. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 6*j - 193. Let w be (8\/(-10))\/((-18)\/j). Let x(g) = -7*g + 4. Let i be x(w). Put -3, i, -4 in decreasing order.\nAnswer: -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + z)*(-2*z - 2*z - 2*z**2 + 5*z - 4).\nAnswer: -2*z**3 + z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (-70)\/5) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + g - 2*g + (-2 - 2 + 5)*((g - 2*g - 4*g)*(-3 + 4 + 0) + g + 0 + 0) to the form p*g + l and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2195 - -2194.9811. Which is the nearest to 0? (a) q (b) 4\/9 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1102)\/(-513)*6\/(-16) and 107\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 36. Let f be j(-11). Let y(v) be the second derivative of -f*v + 0*v**2 + 1\/6*v**3 - 1\/12*v**4 + 0. Find the second derivative of y(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3112\/40 - (-1)\/5?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88707?\nAnswer: 3, 29569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n + 15*n - k + 45502, -4*k - 45472 = -4*n. What is the highest common factor of 484 and n?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccdxdhddhcdddddchcdf. Give prob of sequence fc.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12474 a factor of 2298457804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5\/71?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1*c)\/c*c*c\/c**36 assuming c is positive.\nAnswer: c**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 - 218180*h + 2380125620 = 0. What is h?\nAnswer: 21818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b - 45 = 0. Suppose 7*q = b*q - 30. What is the highest common factor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402541 is divided by 171.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 10*a**2 - 9*a + 4. Let m be g(9). Let k be m\/(-6)*(-108)\/24. Find the second derivative of 3*s**3 - s + 3*s - k*s wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 4*m + 6 = -5*a, -3*a = 4*m + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19118 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 188992807 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 3*r + 1. What is y(5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -145100 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 0*w**2 + 6*w**2 - 2*w**2 + 1. Let u be z(-1). Let l = u - 0. Solve 0 = l*a + 2 - 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b + 60. Let v(m) = -217*m + 1190. Let z(g) = 119*n(g) - 6*v(g). Let q(h) = -12*h**2 - 9*h. Calculate q(z(o)).\nAnswer: -588*o**2 + 63*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(5 + -5 - -2). Factor 26*i + 20 - 217*i**u - 6*i**2 - 202*i**4 + 421*i**4 - 10*i**3.\nAnswer: 2*(i - 5)*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 + 2 + 9)) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -44*x - 445. What is l(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 76a + -4?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 538468119 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11030, 44069, 99110, 176153, 275198, 396245?\nAnswer: 539294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 620 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 13) + 6 - (-5414)\/2. Let h be o\/30 - 8*3\/180. What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*w - 0*m + 3, 5*m - 12 = w. List the prime factors of 2 - ((-14 - 3) + w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 17*b - 36*b - 3 + 22*b. Give c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 7\/((-42)\/(-18)). Let i be a\/7 + (-18)\/14 - -4. Solve 0 = 5*w - p - 6 - 7, -p - i = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620567 - 35*b + 12*b - 37*b + 620567 - 27*b + 20*b.\nAnswer: -67*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305012135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242, 1, -41\/6, 6\/11, 0, -2.\nAnswer: -242, -41\/6, -2, 0, 6\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-38))**7 assuming b is positive.\nAnswer: b**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -322, -393, -482, -583, -690, -797, -898?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2781*t + 1391*t + 1390*t + 2*t**2 - 1291.\nAnswer: 2*t**2 - 1291","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4 = 3*a - 2*u, 2*a - 2*u = 0. Suppose -a*s - 3 = -2*j + 17, 0 = j - 3*s - 14. Solve -5*h + j - 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*q + 2*y - 5*y, 0 = 4*q - 3*y. Sort q, -4, 1.\nAnswer: -4, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -94 - (-7 + 1 + 2) - (-263 - -253)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 339 + 505. Let l = f + -258. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3196525 is divided by 319627?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, -2\/45, 1\/6, -1213?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:36 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2704 + -45970\/17. Let r = 52 + -41. What is the nearest to 2\/7 in -2, 5, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -70*t + 2. Let p(s) = s**2 + 2*s - 4. Let o(n) = -5*n**2 - 9*n + 18. Let w(f) = 2*o(f) + 9*p(f). Determine w(q(v)).\nAnswer: -4900*v**2 + 280*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 43 (b) -2\/17 (c) -4 (d) -0.2 (e) 0.6 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2191 + 2249. Solve j*v = 2*v - 112 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5849 - -5824.53. Let w = -24.5 - z. What is the smallest value in 3\/7, w, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -76, -1, 0 in descending order.\nAnswer: 1, 0, -1, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {x: 6, t: 1, w: 4, c: 4, j: 2, k: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1058, 2119, 3192, 4283, 5398, 6543?\n\"Answer: h**3 + 1054*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 2:13 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -3077cc?\nAnswer: 3077cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -13 + 135*p - 42*p**2 + p**3 - 134*p - 22. Let q be m(42). Solve 0 = 10*y - q*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-5 - -20) - (-19 - -11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 295116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -101*l + 20. Let r be c(1). What are the prime factors of (-16)\/(-36) + -17463*6\/r?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19\/3)\/((-4)\/12). What is the remainder when 35 is divided by (((-513)\/18)\/v)\/(3\/38)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 3:36 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h, -2*b - 7581 = -3*b - 2*h. Suppose -2*s - 19*s = -b. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*d - 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-42)*(-78)\/156*(-424)\/(-6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/22*1\/((-3)\/(-36))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13510 to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/9)\/b)**44)**(-41))**(4\/9) assuming b is positive.\nAnswer: b**(79376\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -456, 1 in decreasing order.\nAnswer: 9, 1, -3, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**4 - 65*g**3 - 1715*g**2 + 5525*g - 3750 = 0.\nAnswer: -15, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 552 = 5*y - 2*n, -5*y + 715 = 5*n + 135. Suppose 0 = 8*f - 3*f. Suppose f = c - 15*c + y. Which is bigger: 6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8598 + 1.84. Round q to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24 = -5*w. Let t(i) = -i**3 - 6*i**2 - i + 5. Let r = -51 + 52. What is the least common multiple of t(w) and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/3 (b) -3 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 8:14 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) - (sqrt(21)\/sqrt(7))**2*-4).\nAnswer: 2*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -32. Suppose -p*i + 0*i + 42 = l, -4*l + 3*i + 213 = 0. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*d**3*i**3*q**3 + d**3*i**2 - 3*d**3*q + 2*d*i*q**3 - 22*i**3 wrt q?\nAnswer: -408*d**3*i**3*q + 12*d*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 11. Let a = z + 52. What is the third derivative of -6*c**6 - 43*c + a*c - 7*c**2 wrt c?\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -53 - 10. Suppose -64*d + h*d + 16 = 0. Calculate the highest common divisor of d and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2081 - -2801. What is the highest common divisor of t and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - q + 20 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 16*j**2 - 33*j - 93. What is the remainder when f(-3) is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2010*v = -1966*v + 440 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 13, 8, -2, -8, 4, 0 in increasing order.\nAnswer: -8, -2, 0, 4, 8, 13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 89*f + 227. Let b be r(7). What is the greatest common divisor of b and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/5 + 36*j**2\/5 + 108*j\/5 - 336\/5.\nAnswer: -3*(j - 14)*(j - 2)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 - 5*h**3 - 5*h**2 - 4663*h + 4663*h in the form u*h**4 + t*h**3 + n*h + j + q*h**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3.51 times -0.4\nAnswer: 1.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 28*m + 231. Determine t(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**3 - 5*n**2 + 5*n. Suppose 4*l = -5*s + 7, 3*l + 22 = 4*s + 4. Let v(g) = -9*g**3 + 9*g**2 - 9*g. Let a = 878 - 873. Calculate a*b(u) + s*v(u).\nAnswer: -2*u**3 + 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 222\/(-24) + 3\/(-4). Let z = -8 - h. Calculate the least common multiple of z and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1023 - -1271. Let f = -21 - -29. What is the greatest common divisor of o and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let j be (r\/(-2))\/(2\/(-12)). What is the third derivative of -2*a**j + a**3 - 2*a**2 + 0*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -12*b**2 - 6. Let j(q) = 44*q - 2. What is k(j(m))?\nAnswer: -23232*m**2 + 2112*m - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 1 - (3 + -28 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 10:23 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35962398.\nAnswer: 2, 3, 1997911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38138837?\nAnswer: 11, 17, 18541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 11. Suppose -12 = 5*g - 2*i + 30, 0 = -3*g + 5*i - 29. What is t(g)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 555 = 2337. Let n = -328 + b. List the prime factors of n.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 15 + -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8)\/(-1 - (-28)\/24). Suppose -5*u = -u + m*v + 11, -19 = -4*u + 3*v. Let w be (-7 - (-152)\/32) + u\/4. Is w equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81912.55nm in micrometers?\nAnswer: 81.91255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 118*h + 993. Let f be x(-6). What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8137 + -0.5137. Suppose 2*l - 3*i + 10 = 0, 0*i - 11 = 5*l - 4*i. Put m, -5, l, -4 in descending order.\nAnswer: l, m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2918419 - 0.2917. What is x rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 + 181. What is the biggest value in -1\/2, j, -1.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26450\/7 + 15180*t - 107642\/7*t**2 + 264*t**3 - 8\/7*t**4 = 0. What is t?\nAnswer: 1\/2, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2844 and 216144?\nAnswer: 216144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10696245.62 + 2331.\nAnswer: -10693914.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/2*(-32)\/(-10). Let k be 0 - (-31 - (-2 + 3)). Calculate the highest common factor of k and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3928 - -27497\/7. Let d be (2\/3)\/(55\/(-15)). Which is the third smallest value? (a) d (b) u (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + c**2 + c**2 + (4*c + c**2 - 4*c)*(1 - 1 + 1) - 3*c**2 + 0*c**2 + 4*c**2 + ((3*c - 3*c - 2*c)*(0*c + 6*c + 6*c) - 2 + 2 - 2*c**2)*(7 - 3 - 3).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*f = -5*s + 107, -3*s + 4*f + 77 = 0. Suppose 1 = -24*q + s*q. Let w = 2 - 1.6. What is the closest to q in 2\/15, -2\/3, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 0*v + v**2 + (-2*v + v - v)*(3 - 3 + 4*v) - 3*v**2 - 3*v**2 + 3*v**2 as t*v + d + p*v**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 39333023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1933778 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p**4 + 0*p**5 + 11\/120*p**6 + 0 + 0*p + 64*p**2 - 10*p**3. What is the first derivative of k(y) wrt y?\nAnswer: 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15919817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.2 - 24.6. What is the nearest to -1 in s, 0.2, 1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2736 and 16781598.\nAnswer: 134252784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26781 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (55\/(-30))\/(-1) - (-3)\/18. Suppose u - 12 = -n, 3*n = -2*u - q*n + 30. Solve 3*f - 4 = 2*w, -u = -4*w + 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 69*d**2 + 33*d + 104. Let j be u(35). Solve -2*t - j = -38 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 11*s - 8 = 0. Differentiate -11 + 0*t**s - 6*t**2 + 0*t + 0*t with respect to t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 - 2) - (-7 + -20)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve sevenths of a week in days?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, b: 5, s: 3}. What is prob of picking 1 p and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*q + 720, -3*q - 2*q = -25. Let c = 124739\/18 + -6934. Find the common denominator of (-6)\/80*i\/6 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 108 - 5\/3*r**3 - 200*r**2 - 8000*r. Factor l(q).\nAnswer: -5*(q + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Let q = -1 - -1.05. Let p = -0.25 - q. Which is the closest to p? (a) 0.3 (b) f (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 147?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/5 - 11*u**3\/5 - 7*u**2 - 5*u.\nAnswer: -u*(u + 1)*(u + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(sqrt(117) - (-5*-3*sqrt(117))**2)*6*-3 + 2.\nAnswer: -324*sqrt(13) + 2843103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -673\/5?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 1198 - 1206 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 - 24*x - 36 = 0. What is x?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, 3 in descending order.\nAnswer: 13, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -30, -2\/101, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-64)\/28)\/(-8))\/(2 - 26\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 1 + 3 - 2. Let k(u) be the second derivative of -u**3\/6 - u**2\/2 + 5*u. Determine -k(j) - t(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - 4\/(-6). Let f be 1 + ((-72)\/15)\/8. Which is the closest to -0.2? (a) f (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/80*-30)\/((168\/(-45))\/(-28))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14661808, 117294548, 395869138, 938356504, 1832727572?\nAnswer: 3166953268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 901\/3 (b) 496 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55494 by -433.\nAnswer: 55494\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5287 divided by 311.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a microgram in nanograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-7)*12\/(-28)*3228\/(-4842).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(10\/(-525)*7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 87*o**2. Let i(h) = -2*h**2. Determine i(x(y)).\nAnswer: -15138*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 286 - -317. Suppose 480 + p = 19*h. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-45))\/((28\/(-50))\/((-4340)\/3100)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4 in increasing order.\nAnswer: -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 18*h**4 + 22*h**3 - 12*h**2 - 24*h - 8. Let l(i) = i**3 + i**2. Let x(y) = 2*l(y) + r(y). Let x(g) = 0. What is g?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16850 - 16851. Which is the closest to w? (a) -13 (b) 3\/43 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 12. Suppose -6 = -3*h - 2*h - 2*a, -2*a = -5*h - 6. Suppose -81 = -2*q - z, h = 3*q + 3*z - 10 - 113. What is the highest common factor of t and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 40*k**2 + 126*k + 641. Calculate l(36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2452.735 kilometers?\nAnswer: 2452735000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 68 + (-7 - -5)\/(2\/1). Suppose x + 4*r - c = 0, 0 = 3*x + 4*r + 14 - 183. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618353 divided by -91.\nAnswer: 618353\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 + -7.2. Let t be 134 + -115 + -3 + -8. Put -1\/3, t, y in increasing order.\nAnswer: y, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4*m**2 - 4*g**4*m + 43*g**4 + 163*g**2 + 6*m**2 wrt g.\nAnswer: -48*g*m**2 - 96*g*m + 1032*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10442 and -3?\nAnswer: 10445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7401 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*j + 196*j = 55825. Solve j = 71*m - 139 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0828*-2\nAnswer: -2.1656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5201.925 * 3.\nAnswer: -15605.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.669562 millilitres to litres.\nAnswer: 0.008669562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -34413*v**3 - 5*v**2 - 78*v - 76. Does 10 divide a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5 + 744*y**4 - 34596*y**3.\nAnswer: -4*y**3*(y - 93)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from tintifvtt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184 - -258. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0*o**2 - 2\/3*o**4 + 0 - 4\/3*o**3 - 1\/10*o**5 + 29*o. Factor r(u).\nAnswer: -2*u*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72, 144, 206, 252, 276?\n\"Answer: -y**3 + y**2 + 76*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5214273 divided by 11\nAnswer: -5214273\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*x + 6, -5 = -3*x - 5*a + 7. Let m = 403 + -398. Sort -5, m, x in increasing order.\nAnswer: -5, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 3\/2 (c) -1\/37 (d) 7 (e) 0.1 (f) 1\/332 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((48\/36)\/(-1))\/(2\/(-141)). Solve s*z + 36 = 85*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*j = -5*j - 12, 0 = 4*j + 16. Let n = 0 + 2. Suppose -v - 1 = n. Which is the biggest value? (a) 0.4 (b) g (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q + 6. Let n(g) = 4. Let r(l) = l - 1. Let d(h) = n(h) + r(h). Let o(y) = 1 + 4*y - 6*y + 0*y - 5. Determine q*d(j) - 2*o(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*n**3 + 20 + 5*n**3 + n**3 - 16 wrt n?\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61172 and 328.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -232?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51902504*d**2*x + d**2 - 553525250*x wrt d?\nAnswer: -103805008*d*x + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 6:41 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7809 or -39052\/5?\nAnswer: -7809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -17*h**2 + 34*h**2 - 19*h**2. Let o(b) = -42*b**2. Determine j(o(s)).\nAnswer: -3528*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - o. Let u(i) = i**2 - 7*i - 5. Let q(k) = 2*h(k) - u(k). Let z be q(-7). What is the derivative of -3 - z*b - 2*b**2 + 19*b wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 12 - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqoqkggxqqqgggqg. Give prob of picking 1 h and 1 x.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - h + 0*h - 6 = 0, o = 3*h + 2. Let f be ((-4)\/(-8))\/(1\/o). Sort -1, -8, f in decreasing order.\nAnswer: f, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 89 + 239 = 0. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-120)\/4 + -1). Let z = -90 + i. Let n be (-80)\/(-60) - (-14)\/z. Solve -4*k = -n*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-36) + (-9051)\/(-27). Suppose 8*w = 13*w - q. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.5. Let u = z + 1. Let t = u + 0.5. What is the third smallest value in 0, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82906627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 4, 70, -1 in descending order.\nAnswer: 70, 4, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x + 6 = 0. Suppose 0 = 3*z + 2*b + 145, 2*b - 110 = 2*z + 6*b. Let d be 1\/(z\/(-21) + x). Solve -2 = 3*u + d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 3*d + 4. Let w be v(-3). Suppose -w*q - 1 + 17 = 0. Let z = q - 8. Put z, 4, -1 in descending order.\nAnswer: 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 248 and 1643?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4867, 2408, -1, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 432662255?\nAnswer: -432662301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**2*p**2 + 14*n**2 - 13*n*p**3*z + 8*n*p*z**3 + 7*p**3*z**3 - p*z**3 wrt p?\nAnswer: -4*n**2 - 78*n*p*z + 42*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = 2*f - 0*f, c = 4. Let s(p) = p - 3. Let q be s(3). Solve o + q*o = f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/320766 and -167\/5790?\nAnswer: 1603830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/16)\/(-57*(-30)\/2280)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 138, 144, 154, 168, 186, 208, 234?\n\"Answer: 2*d**2 + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let p(x) = 23*x**2 - 29*x**2 - 16*x**2. Give p(m(u)).\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -5, 0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*f**3*z**3 - 18*f**3*z**2 + 8*f**2*z**3 - 7*f*z**3 + 20*f*z + z**2 - 28 wrt z.\nAnswer: 240*f**3 + 48*f**2 - 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233 (base 5) to base 7.\nAnswer: -364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 14*m**2 + 25*m - 16. Let x be n(12). Let f(b) = -17*b - 9. Let y(i) = 8*i + 4. Determine x*f(d) - 9*y(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2\/4)*0. Let f(t) = -t**3 + 10*t**2 - 19*t + 10. Let o be f(4). Suppose w - o + 105 = -3*m, -2*w = -2*m - 42. Sort m, 3, v in increasing order.\nAnswer: m, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 19 - (13 - 3 - 17 - -13).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 610 = -7*h. Suppose h = 2*t + 14. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-630))\/(0 + (-3)\/(-12))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 - 57*x**3 - 3090 - 1946 - 5*x**3.\nAnswer: -54*x**3 - 5036","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 >= 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1688*n**3 + 559*n + 2431887 wrt n.\nAnswer: 5064*n**2 + 559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1192315850 and 3025?\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2, -218, 6\/49?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*r**4 + 171*r**3 + 3*r**2 - 7516.\nAnswer: 408*r + 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x. Suppose 4*i - 3*i - 143 = x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -60, -126, -218, -336, -480, -650?\n\"Answer: -13*y**2 - y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/10)\/b)\/b*b**(-10)*((b\/(b**(-16)*b))\/b)\/b**(-2\/31))**40 assuming b is positive.\nAnswer: b**(3676\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490932 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 1 - ((63 - 64) + -1 + 1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.332 - -39204.\nAnswer: 39204.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 6745.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -62, -58, -54, -50?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6760 (base 15) in base 2?\nAnswer: -10000000111100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -46*p**3 - 89*p**2 - 5*p - 118. Let s(m) = 34*m**3 + 67*m**2 + 4*m + 86. Calculate -8*q(x) - 11*s(x).\nAnswer: -6*x**3 - 25*x**2 - 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 + 168. Which is the nearest to 2? (a) -5 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aab when three letters picked without replacement from {b: 2, z: 9, a: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1437*s + 34485. Give b(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5*y, 4*y - 14*z = -17*z - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2851573.\nAnswer: 71, 40163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*s - 7*s - 31*s - 35*s - 33*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 4:36 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -905 + 905.0000802. Round x to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 172 + -161. What is the highest common factor of 55 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + k**3 + 0*k**3)*(-5*k - 4*k + 2*k) - k**4 + 3*k**4 + 0*k**4 - 2*k**4 + 3421 + k + 15*k**2 - 6848 + 3425.\nAnswer: -14*k**4 + 15*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u = -0*u - 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137608547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11715*p**2 + 605. Let m(v) = 58*v**2 + 3. Let a(d) = 6*l(d) - 1210*m(d). Let w(y) = -2*y. Give a(w(h)).\nAnswer: 440*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 1957?\nAnswer: -9\/1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 9*x - 281. What is the remainder when x is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - -1d975?\nAnswer: 1d959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9 - 1608\/(-9). Let x = -111 + n. Let c = x + 26. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-30)*(-1 - -3). Let i = -273.5 + 274. Which is the biggest value? (a) n (b) -1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l. Let s(u) = 771*u**2 + 9*u + 226. What is m(s(o))?\nAnswer: -1542*o**2 - 18*o - 452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -1\/5, 5\/6 in descending order.\nAnswer: 5\/6, 0.4, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose 0 = -2*c, 0*c = -p*i + 2*c + 50. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -6 + 8 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 3*c)*(4*c**3 + 0*c**3 - 3*c**3)*(-633*c + 308*c - 482*c).\nAnswer: 1614*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 + 50*p\/3 + 33\/2.\nAnswer: (p + 1)*(p + 99)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74422639 - 3*b**2 + 37211319 + 37211320.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 4 (c) -1552959 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008103696 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -13*j - 8. Let f(b) = -12*b - 7. Let k(i) = -i**3 + 25*i**2 + 59*i - 140. Let d be k(27). Calculate d*z(q) + 6*f(q).\nAnswer: -7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**6\/720 - c**4\/12 - 11*c**3\/6 - 3*c - 5. Let f(w) be the third derivative of n(w). Let q(x) = -336*x. What is q(f(h))?\nAnswer: 336*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-19) - (0 - (-6684)\/(-38)). Let m be (0 - -2)*2 + -1. Suppose -b = -f - m*f. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(10*a - 43 + 43 + (-3 - 1 + 2)*(2 - 2 + 2*a))*(0*a**3 - a**3 - a**3).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69 - 2) + (3155 - 3122).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.0372\nAnswer: 0.01116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11135 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -23*v - 22. Let l(h) = -567*h - 549. Let j(b) = 4*l(b) - 99*w(b). Let z(o) = o. What is j(z(g))?\nAnswer: 9*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 58 in increasing order.\nAnswer: -3, 0, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 491*j + 64*j - 253*j**2 - 259*j**2 wrt j.\nAnswer: -1024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2563 + -2333?\nAnswer: -5226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1220020 (base 3) to base 6\nAnswer: -10223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11833 - -11835. Calculate the smallest common multiple of 162 and u.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 44, 52, 94, 182, 328, 544, 842?\nAnswer: 1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12313323 - 121232?\nAnswer: 12132031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1\/(-1)) + 2. Let c(y) = -2*y**2 - 3*y + 4*y**3 + 2*y + 2*y. Calculate the lowest common multiple of 6 and c(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**6\/420 + 81*i**4\/28 + 486*i**3\/7 - 12*i**2 + 87. Solve l(c) = 0.\nAnswer: -9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 787728 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -269.1.\nAnswer: -264.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 4:44 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 6*i**2 - 7*i. Let k be w(4). Solve x + q + k = 2*q, -x + 8 = 2*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 111?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28 - (-4 + (5 - -3)). What is the third derivative of 13 + 11 - 8*m**3 - 15*m**2 - x wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67700206.\nAnswer: 2, 7, 281, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/3064 and 47\/5?\nAnswer: 15320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -469\/9. Let k = -5895 + 194552\/33. What is the common denominator of f and k?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 5)*5*15\/50?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 489*x**2 + 496*x - 2830. Calculate f(488).\nAnswer: 1074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 147 + 17\/3*f**3 - 1\/4*f**4 + 7*f + 0*f**2. Calculate m(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165469335 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in 41, 0.041, -0.3?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 8:19 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9928?\nAnswer: 2, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4968875)\/(-917565))\/(-5) - (-4)\/6. Let a = 141\/1474 - g. Calculate the common denominator of (-6)\/14 + 367\/(-140) and a.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o + 7 - 3 + 2*o + 28*o to the form l*o + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -1. Let q = w - -7. Let k = q - 35. Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 7*f - 1600. Round f to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 7, 5, -0.9 in increasing order.\nAnswer: -4, -2, -0.9, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, h: 3, g: 5}. What is prob of picking 1 g, 1 l, and 2 h?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l. Let g(s) = -5*s - 2. Let u(t) = 4 + 3 - 12 - 4 - 21*t. Let d(j) = -9*g(j) + 2*u(j). Give d(a(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 6 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 - d - 60. Let j = -3326 + 3326. Calculate n(j).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -547 divided by -16541?\nAnswer: 547\/16541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-35)\/105 - (-4592)\/6. Does 6 divide (17\/(d\/18))\/((-1)\/(-425))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5697 and 39.\nAnswer: 74061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/806 and (75\/6 - 12) + (1 - 36)?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h = -24*h. Let g be (11 - (11 + h))*2\/4. Sort g, -16, 3 in increasing order.\nAnswer: -16, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0269 - 0.1901. Let c = k - -92.217. Let r = c + -91.99926. Round r to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -68. Let i(t) = -5*t. Let m be i(f). Solve -4*k + m = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5846, 5873, 5920, 5999, 6122?\n\"Answer: 2*q**3 - 2*q**2 + 19*q + 5827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 12. Let j be i(12). Solve -2*s + 3*s = j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 27 = -5*o. Let v = o + 9. Put v, -3, -1 in decreasing order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 105805787 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3 + 27*k**2\/2 + 20*k - 251. Let q(y) = y**2 - y. Let z(n) = j(n) + 2*q(n). Factor z(p).\nAnswer: 5*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 63, 79, 101?\n\"Answer: 3*r**2 + r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-20)\/(-8))*(-8)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 63*u**2 - 15*u + 256. What is the smallest common multiple of k(7) and 18?\nAnswer: 29142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/21 - (-32)\/6. Suppose -m*z + 13 = 4*b, 3*z - 5*b - 20 = 10. Solve -5*i + 3*i + z*r = 9, 0 = -3*i - 5*r + 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = -21. Let x be ((-27 - t)\/6)\/(-2 - 0). Suppose 3 = b - 1. Solve 2*p = -x*p + b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 7414, 14\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/10797 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256247 is divided by 2172.\nAnswer: 2123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-290)*-6*2\/((-42)\/(-140)*5)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbb when four letters picked without replacement from iitibikiiiiibkkibki.\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 + 79*d\/2 + 40.\nAnswer: -(d - 80)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1706*r - 803*r = 836*r - 3350 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 771\/4 - 156. Let w = -36 + d. Put w, 3\/7, 5 in increasing order.\nAnswer: 3\/7, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/6*(-135)\/180.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3\/7 (b) -5 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/2, 3\/4, 4 in ascending order.\nAnswer: -2, -1\/2, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16, 88, 40, -3, -10 in ascending order.\nAnswer: -16, -10, -5, -3, 40, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 2*w**3\/21 + 27*w**2\/7 - 8*w + 185. Factor b(m).\nAnswer: 2*(m - 1)*(m + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460, -414, -364, -352, -420, -610?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 p, and 1 l when three letters picked without replacement from jmlmjpfmpmllmmjmflf.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (651 + 619 - 1451)*(-3*i + 5*i - i) to m*i + z and give m.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 1. Let v(n) = 2*n + 74. Let d be v(-26). Let q(l) = d - 4 + 3*l**2 - 3 - 13. Determine -2*q(c) + 7*u(c).\nAnswer: c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5379 = -27*o + 75849. Calculate the greatest common divisor of o and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5981*m - 616545 = 1550*m - 472*m - 8798*m for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5204 + 8922. What is the lowest common multiple of 3 and f?\nAnswer: 11154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-64)\/240)*(-2)\/(-6). Put -543, x, 2, 4 in descending order.\nAnswer: 4, 2, x, -543","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, d: 1, v: 1, a: 2, u: 1}. Give prob of picking 1 b and 2 a.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 792, -6, -1, 0, 2 in increasing order.\nAnswer: -6, -1, 0, 2, 792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22639882 and 216429.\nAnswer: -22423453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*m - 5*y - 4, 2*m = 3*y + 11. What is the units digit of 3\/(m - -2) + 52275\/100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*t + 64*t = -35. Let a(o) = -o**3 - 5*o**2 + 3*o - 3. Let w be a(-5). Let l = w + t. What is the remainder when 32 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n + 4*h, -n - 3*h - 5 = 3. Let a be 2340\/702*3\/5 - (3 - 1). Solve 5*d - n*d - 6 = a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73 - 246 + 11*h - 129*h + 71 + 98 as f*h + q and give f.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 49946428301888?\nAnswer: 49946428301887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (7 + 154\/(-21)). Which is the closest to u? (a) 4 (b) 0 (c) -2 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0956 - 0.096119. What is r rounded to 5 dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s. Let k(p) = -872*p. Determine g(k(a)).\nAnswer: 9592*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t**5\/7 - 6*t**4\/7 + 18*t**3\/7 - 4*t**2\/7 = 0. Calculate t.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39140 is divided by 787.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3*1*5\/(-205))*(-57)\/(-19).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 2*q**2 - 4*q - 1. Let o(l) = -l**3 - 5*l**2 - 7*l - 9. Let d be o(-4). Suppose 33 = -12*g - d. Determine p(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52287 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13161507, 13161508, 13161509?\nAnswer: 13161510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffn when four letters picked without replacement from {n: 8, o: 4, f: 8}.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehm when three letters picked without replacement from hzhhhhehegem?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 - 2306203?\nAnswer: -2306173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:32 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kktttktbbbttbk. Give prob of sequence tk.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8117469476 to the nearest integer?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011108 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/1353325 and -51\/216532.\nAnswer: 5413300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8.8 - 0.087\nAnswer: -8.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 16?\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3280)\/410 + (1 - (-114 + 0)). What is the greatest common factor of 5564 and c?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*h**5 + 12*h**5 + 6*h**5 + 1 + 2*h**5 - 1 + (-h**5 + 3*h**2 - 3*h**2)*(-3 + 0 + 1) - 2*h**5 + 3*h**5 + h**5.\nAnswer: 63*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6*a**2 - a**2 + 2*a + 7*a**2 as u + h*a**2 + k*a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 1240*p**2 + 50956*p + 52200.\nAnswer: 4*(p - 261)*(p - 50)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16431 - -82154\/5. Which is the closest to -1.97? (a) 4 (b) -2\/19 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**4\/4 - 10*u**3\/3 + 3*u**2\/2 - 15*u + 1. Is 5 a factor of t(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 5. Suppose -2*n = 2*l + 22 - 8, -5*n - 11 = l. Let x be l\/(-8) - 12\/16. Calculate s(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477228451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8181.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or -54?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3965\/(-572) - -7)\/(21\/(-28))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 13*i = -174 + 246 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27020209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 18*r**2 - 77*r + 2. Is c(24) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -28.7. Let z = u + -5. Let i be 1\/((-3)\/(9*-1)). Which is the smallest value? (a) i (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2422 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**3 - q**2 + 5*q - 5. Let z(f) = 6*f**3 + 4*f - 4. Let v(b) = -5*o(b) + 6*z(b). Let g be v(-5). Suppose 160 = g*d - 146. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -36 + 17 - (0 + -6 + 4). Let i(w) = 7*w + 1. Let l(y) = y. Let z(o) = -i(o) + 2*l(o). Let p(s) = -14*s - 3. What is v*z(u) + 6*p(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 6*y**2 + 5*y - 7. Let b be o(8). Let r be 3*(-3 + b\/(-15)). Suppose r*c = 3*c + 140. Solve -c = v - 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prqqrpbqeprrpbpq. Give prob of picking 2 r.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736)*1 - sqrt(2736)) + -4*(sqrt(19) - sqrt(304)) - (-5 + sqrt(38)\/sqrt(2)*-3))**2.\nAnswer: 150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*k - 3*k - 3*p, -k - p + 4 = 0. Solve 4*l - 10 = -q + 6*q, k*l + 2*q - 19 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**3 - 6*n**2 + 21*n - 5. Let z(s) = -s**3 + s**2 - s + 1. Give -d(i) - 6*z(i).\nAnswer: -2*i**3 - 15*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - y**2 + 144. Let l be p(0). Calculate the common denominator of -49\/5 and ((-1)\/(-3))\/((-11)\/l).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.001119 or -5\/31?\nAnswer: -0.001119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 34 = 0. Let w = -12 + n. Suppose 46 - 16 = w*t. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21720662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 13, z: 6}. What is prob of picking 3 z?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 17, n: 2}. What is prob of picking 2 z and 1 n?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3 - 90*r**2 + 525*r - 980 = 0?\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 - -3.56. Let q = 3 - n. Let a = 1.8 - q. Sort -3, a, 0.3 in ascending order.\nAnswer: -3, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 0.3 (c) 0.026\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 9606*x + 18458*x - 9257*x)*(-1 + x**2 + 1).\nAnswer: -x**5 - 405*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 5*h**2 + 3*h + 3542. Let s(f) = 2*f**3 - 4*f**2 - 2*f - 3543. Calculate -2*p(m) - 3*s(m).\nAnswer: -2*m**3 + 2*m**2 + 3545","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**4\/12 + j**3\/3 - 9*j**2 - 9*j. Suppose 0 = -0*o - o - 13. Does 25 divide s(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15528 = -4*a + 4*x, 0 = 7*a - 6*a + x - 3886. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 51*y**2 - 3*y - 2. Let i be n(-1). Suppose -2*g + 471 = 5*p + 42, -5*p + 426 = 3*g. Let z = p - i. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1112652 and -926.\nAnswer: 1030315752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1805*m**3 - 5131520*m**2 - 46564700*m - 105466960 = 0. Calculate m.\nAnswer: -86\/19, 2852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101 in -2\/5, 0.01, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/49613 and 20\/446517?\nAnswer: 446517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-7)\/(-7) - 7\/(-5)) - 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 343, 9949, -1 in decreasing order.\nAnswer: 9949, 343, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8\/3, 2\/15, -0.4 in decreasing order.\nAnswer: 4, 2\/15, -0.4, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 319526 - 4?\nAnswer: 319522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 + 11*c**2 + 3*c + 2. Let f(s) = -4*s**3 + 10*s**2 + 3*s + 2. Let b = -6 + 0. Let r(l) = b*f(l) + 5*g(l). Determine r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42\/44828887 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 726 - (-5 + 0 - -3). Let c = k + 2971\/4. Calculate the common denominator of c and 95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1913353201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41119*f = 41536*f - 5838 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/18 + (-550)\/4788. Let b = i - -547\/3990. What is the smallest value in 0, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o - 5. Let p be a(-5). Let c = p + -6. What is the nearest to -1 in c, -3\/5, 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*r - 68 = -r, 2*r = 0. Suppose -637 = 4*v - z*v. Suppose v = g + 33. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 2. Calculate the remainder when 141 is divided by u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -1 - (83 + -70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 8:15 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10379, -17934, -30505, -48098, -70719, -98374, -131069?\nAnswer: -168810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*p = -142, h = 3*h - 2*p - 154. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 + 349. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -19822, 7 in ascending order.\nAnswer: -19822, -36, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264440.\nAnswer: 2, 5, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 0*x - 24. Let y be ((-15)\/x - 2)*22. Suppose 2*q - 85 = y. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:39 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.58 + -1.88. What is the fourth smallest value in -14, -1, -1\/6, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 333\/18 - 18\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 + 5. Suppose 2*i = 12*k - 11*k + 73, -4*k = 4. What is the remainder when n is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t + 1. Suppose 3*z = -2*z - 70. Let u = z + 9. Let x(o) = 2*o - 5. Let v(n) = -n - 1. Let g(r) = 6*v(r) - x(r). What is u*g(m) - 6*k(m)?\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + (-3)\/(-1) - -5. Suppose -6*d = -a*d - 2. Let f = 0.4 - 0.8. Sort f, d, 1\/2 in decreasing order.\nAnswer: d, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442108 is divided by 46517?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(5118\/7))\/(112\/(-409458)) + 5. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.601475 grams?\nAnswer: 9601475000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108010760 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k - 2*k. Suppose 0*x - 3*x + 6 = 5*j, -5*j = -k*x + 4. Let i(a) = -a**3 + 5*a**2 - 5*a - 1. Let w be i(4). Sort w, -1, j.\nAnswer: w, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5150 divided by 3.\nAnswer: -5150\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-42)\/49)\/((-2)\/14). Suppose -d*a + a + 75 = 0. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 33\/70*a**7 + 0 + 0*a - 20*a**2 + 0*a**6 + 0*a**4 - 15\/2*a**3 + 1\/60*a**5. What is the first derivative of x(r) wrt r?\nAnswer: 396*r**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 32*h**4 - 8*h**2 - 181*h - 6. Let t(c) = -97*c**4 + 23*c**2 + 542*c + 17. Let p(n) = 17*i(n) + 6*t(n). What is the second derivative of p(z) wrt z?\nAnswer: -456*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*p - 311*p - 149 = 434 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-651)\/(-3) + (4\/(-4) - 2)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((800\/125)\/16)\/((-2)\/20))\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j*o**3*y**2 + 279*j*o**3 + 4*j*o**2 - 2*j*y**2 + 239*o**4*y + 31806*o**2*y**2 + 2*o*y**2 wrt o?\nAnswer: -6*j*y**2 + 1674*j + 5736*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5 (c) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z + 44. Let q = z - -38. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -4. Suppose 0 = -x*o + 9 - 3. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 12*x**2 + 8*x + 3. Calculate k(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.5 (c) -4 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 54 + 53 + 52 - 160. Let l(a) = a. Determine l(i) - 6*x(i).\nAnswer: i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + b + 8 = 0, -s - 3*b = 3*s + 30. Let u(v) = -405*v + 803*v + 3*v**2 + 2 - 403*v. List the prime factors of u(s).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95840 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by -2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-44 - -23) + 21 - 86.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16297 and 1552601.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2362295 and 0.17.\nAnswer: 401590.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -51*w + 10440. Let g(a) = -135*a + w*a - 7 - 152*a. What is g(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -94*q + 7402. What are the prime factors of v(0)?\nAnswer: 2, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.5 and -0.13?\nAnswer: 0.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 341*s**6\/120 - 61*s**5\/60 + s**3\/3 - 4*s**2 - 5*s. Find the third derivative of l(a) wrt a.\nAnswer: 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.4, -4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2269 + -0.2.\nAnswer: 2268.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*(-3*r - 5 + 5)*(-22*r + 11*r + 19*r)*(2 - 5 + 1).\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r**3 + 5*r**3 + 0*r**3 - r**3 - 4*r = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 3. Let z be (-9)\/(-2) - 1\/(-2). Let w be y(z). Solve w*a - 4*c = 0, -4*a = c + c - 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -969 + 12590\/13. Let v = g + 37\/117. Let a = -3 - -7. Put v, a, -5 in decreasing order.\nAnswer: a, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 4 + 8*q**2 - 12*q**2 + (-3*q + 0*q + 2*q)*(-q + 0 + 0) + (-2*q + 6*q - 2*q)*(-4*q + 3*q - q).\nAnswer: -7*q**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -846 divided by 3.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {a: 1, w: 2, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6227949 and 4321434?\nAnswer: 211750266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 196731.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 5 - (-173 - -177).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6670834, 13341675, 20012514, 26683351, 33354186?\n\"Answer: -w**2 + 6670844*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7262*n + 181*n + 9509*n + 349*n + 4606*n. Let k(c) = -2*c**2. What is k(g(a))?\nAnswer: -959833298*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55554433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-1)\/((-1)\/(-17)). Let s be 6\/4*30\/9. Suppose 0 = s*c - 24 + 104. Which is greater: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q*s**3 + q*s**2 - 2*q*s + 215*q + 13*s**4 - 1177*s**3 + s + 24 wrt s.\nAnswer: -6*q + 312*s - 7062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - (6 + -2 + (-14 - -6))) + 11 - 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11*u**2 - 4. Let g(k) = 24*k**2 - 9. Let o(l) = 4*g(l) - 9*r(l). Let s(t) = 18*t**2. Let z(j) = j**2. Let x(h) = -s(h) + 2*z(h). Determine o(x(f)).\nAnswer: -768*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1218544\/45 + 27077. Find the common denominator of r and 26\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-105) - (4\/(-15))\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189 + 176.3. Let t = -0.3 + l. Let z = 13.1 + t. Which is the nearest to z? (a) 0.3 (b) 3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/16 (b) 0.0741 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.8 in -4, 0.1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 50555391274+-1.6\nAnswer: 50555391272.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -442 times 0.34612\nAnswer: -152.98504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**6 + 48387*h**5 - h**2 + 2*h + 1801 wrt h?\nAnswer: -240*h**3 + 2903220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*w - 11, 2*v = -5*w - 16. Which is the biggest value? (a) 1\/2 (b) -1\/10 (c) v (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {k: 2, u: 12, z: 4, h: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 574640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 16*p - 5 + 15 + 4*p + p**2 - 11*p. Let v be 183\/(-21) - (-4)\/(-14). What is the tens digit of w(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-28 - (31 + -30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -3*z**4\/2 - 4*z - 5. What is the first derivative of r(s) wrt s?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.276 - 13.56. Let k = -3.44 + o. What is k rounded to 2 decimal places?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77*l*z + 8942*l + 153531*z - 1 wrt l?\nAnswer: -77*z + 8942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*w - 1206828 = -70*w + 4*u, 0 = 2*w - 5*u + 603365. Round w to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/11 and (-11)\/(-3)*(-39)\/26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 36, 0, 5, -5, -3.\nAnswer: -5, -3, 0, 5, 29, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 288*t + 1140. Calculate c(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + 4*q**3 - 4*q**3.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 30112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 27 = l, -p - 5*l + 13 = -10. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33321354 - 144?\nAnswer: 33321210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -958\/5? (a) 3\/4 (b) 251 (c) 0.1 (d) -2 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 457 - 965. Let n = -81 - g. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**3 + 6. Let k(n) = 3*n**2 - n**2 - n**2. Calculate x(k(c)).\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -1302555?\nAnswer: 1303005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007989303 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*j + 5 + 2, -4*c + 19 = 3*j. Let a = c + 0. Which is smaller: 21\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1459, 3230, 5235, 7474, 9947, 12654?\nAnswer: 15595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 1289*i**2 - 483307*i - 41806347.\nAnswer: -(i + 123)*(i + 583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*t - 9 + 9 - 70*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000058208994 to 6 decimal places.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2338 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100101100001001011 (base 2) in base 12?\nAnswer: 28840b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -179.1 and 0.16041474.\nAnswer: -178.93958526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42339 and 17.\nAnswer: 42356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -11030248941638?\nAnswer: -11030248941637.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/11, -3, -1, -2\/21 in decreasing order.\nAnswer: -2\/21, -10\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3416.147 times -0.5\nAnswer: -1708.0735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3311.5 + -3311.5. Which is the closest to g? (a) -36 (b) 0.2 (c) 2\/105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, m: 1, t: 2, y: 7, h: 3, k: 2}. Give prob of picking 1 m, 2 y, and 1 p.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-486)\/(-4)*(24 + -20). Let s = -214 + i. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(78)*2 - 2*(sqrt(78) + sqrt(78)*-1))*4)\/((-5*(sqrt(486) - (2*sqrt(486) + sqrt(486))) + sqrt(486))*5)*-3.\nAnswer: 8*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53001 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (14 - (-20 - 45))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 294 = -4*o, -3*g + 2*o - 598 = -7*g. Let c = -140 + g. Let q be 18\/4 + 4\/8. Solve q*m + c = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 9*p**2 - 11*p - 7. Let l be y(8). Let k = 32 + l. Let d = 14 + -14.2. Which is the closest to k? (a) -3 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/440*7100\/710.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 8. Let k be c(4). Let v = k - 16. Suppose v = -2*m - 5*q + 10 + 11, 3*m - 20 = 4*q. What is the least common multiple of m and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 9*z + z)*(-3 + 4 + 0)*(-z + 5*z - z).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, w: 1}. Give prob of sequence gw.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:17 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnly when four letters picked without replacement from wnbly.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kksk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, -292, -856, -1644?\nAnswer: -2656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 4, 1\/3, -3\/5, -300?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 793.2.\nAnswer: 23.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -110341515 divided by 494805?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -156. What are the prime factors of s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10321552 + 10320923.9741. Let j = -628 - a. Let b = -0.3689 + j. Round b to 2 decimal places.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004553 rounded to four dps?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.5, -127, -4, 14, -13\/2 in decreasing order.\nAnswer: 14, 1\/3, -0.5, -4, -13\/2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -3 + 1\/2*s**2 + s. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -19*p**3 - 4*p - 17. Let x(n) = 9*n**3 + 2*n + 8. Give 13*x(z) + 6*y(z).\nAnswer: 3*z**3 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/110 and -63\/640?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1466262 divided by -7758\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/424 and -73\/43424.\nAnswer: 2301472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 227903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 1. Let p(h) = h**3 - 10*h**2 + 3*h - 8. Let n(d) = -3*p(d) - 21*u(d). Determine w so that n(w) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 804173\/7, 0.06 in ascending order.\nAnswer: 0.06, 0.4, 804173\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/689040 and -101\/292160.\nAnswer: 228761280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**5\/11 - 320*v**4\/11 - 12666*v**3\/11 + 956*v**2\/11 + 37376*v\/11 - 2304 = 0. Calculate v.\nAnswer: -88, -72, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/20 + (-1547)\/(-170). Suppose 25*m = z*m + 560. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 53?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2 - 4*c - 3. Let m be a(3). Let b = 15 - 5. Let n = b + -8. Solve 0 = m*g + n*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1753, -11586, -38289, -90298, -176049, -303978, -482521?\nAnswer: -720114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -45*b**3 + 3*b**2 + 9*b + 13. List the prime factors of t(-2).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9548\/55)\/(-31) + 20. Which is the fifth biggest value? (a) 1 (b) -4 (c) 0.1 (d) 0 (e) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160627 by -223.\nAnswer: 160627\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 97.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -6) + (-36)\/9. Sort -2, -5, h in increasing order.\nAnswer: -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**5 - 21*q**4 - 96*q**3 - 156*q**2 - 93*q - 33. Let u(r) = -r**5 - r**4 - r**3 - r**2 + 2*r - 1. Let b(i) = -6*u(i) + z(i). Factor b(p).\nAnswer: 3*(p - 9)*(p + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)*p**(-4))\/((p*p**3*p)\/(p*p*p*p**(-1))) assuming p is positive.\nAnswer: p**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24055 + 3*f**2 - 24055.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/13 + 45\/104. Let l = 6.7 + 0.3. Let m = 3 - l. What is the third smallest value in -2\/7, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/599184 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3063.19 + -3082. Let c = h + 18. What is c rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10100?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18 + 33 + 6*g**2 + 41 - 15 - 13 + 2*g wrt g.\nAnswer: 12*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -w + 2, 4*j - 22*w + 18*w = 24. Solve j*r - 12 = 5*c, -5*c = -6*c + r - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.0426*8.\nAnswer: 48.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05146 + -0.2.\nAnswer: -0.25146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**5 - 12*c**4 + 33*c**3 - 18*c**2 = 0 for c.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpuk when four letters picked without replacement from cppppuukucpukppuuuuk?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231\/(-28)*72\/(-54).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22307 - -22308. Put f, -5, 5, 6, -3 in decreasing order.\nAnswer: 6, 5, f, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 30. Calculate o(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/32 and -6 - ((-301)\/(-126) + 0).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2843 - 959. What are the prime factors of f?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = p - 3. Let l = p + -9. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -508 (base 11) to base 13\nAnswer: -382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 15 = 3*c - 0*g, -4*c + 20 = 3*g for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 34\/5 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -262602 - 42298. Let x be (80\/(-6))\/((-4)\/(-163470)). Let q = x - s. What is q rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -4 + 0 + 45 + -59?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j = -14*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 27. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 13) + (-2 - (-2 + 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20 + -3)*(-3994)\/(-26). Let s = p + -2614. Find the common denominator of s and (117\/(-6))\/((-2)\/4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, 29, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -169, -689, -1565, -2803, -4409, -6389, -8749, -11495?\n\"Answer: -c**3 - 172*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*y + 735*y - 2494 - 177*y - 185*y - 191*y.\nAnswer: -y - 2494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 22. Let u be h(13). Suppose u*j - b = 8611, b = j + 2*b - 2154. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19390 - 19391. Let b = -942\/43 - 42966\/559. Let h = -99 - b. Which is smaller: h or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 671*m - 344*m - 341*m + 140 = 0 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + s - 16. Suppose -s*t - 25 = t. Put 1, 2, t in descending order.\nAnswer: 2, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 39 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**4\/3 - 13*o**3 + 4471*o**2. Give k(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a + 9*a = 15*a + 546 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*n - 11 = 0, -16*u = -21*u + 4*n - 62. Let y be (-5 + (-905)\/(-175))\/((-6)\/u). Which is smaller: -7 or y?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 67?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -338.8015 + 326.38. Let q = p - -12.4. What is q rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11232)\/(-244) - (239 + -193)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15982513*f**2 - 254*f - 1650.\nAnswer: 31965026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + r - 4 = 0, 155*r = 3*n + 157*r - 8. Solve n = -11*w + 33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187238778 divided by -187238778?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 65. Which is smaller: -19 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185 * 10782\nAnswer: -1994670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.8 and -8?\nAnswer: -110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence huu when three letters picked without replacement from uyyyuyugyyhygyu?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/620 and -37\/1612?\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(2\/31))**(-17) assuming b is positive.\nAnswer: b**(-493\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 5*z + 4. Let x(n) = -n**2 + n - 1. Let i be x(0). Let d = i + z. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 e when three letters picked without replacement from {d: 1, l: 3, e: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Divide 2424006 by -1212003.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let r = 2.5 + v. Suppose -3*h - j = 6, 5*h + 2*j + 2 = 3*j. What is the third biggest value in 3, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 507\/5 + -101. Let l = -814.2 + 814.4. What is the nearest to s in 1\/3, 8\/3, 0.5, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*p = -99, 3*p - 4*p = 4*z - 107. Suppose -34 = -2*a + z. Let v(l) = l**2 + 31*l + 158. What is the remainder when a is divided by v(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 7*j - j**2)*(-3*j**2 + 2*j**2 - j**2).\nAnswer: 2*j**4 + 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(49\/(-14)) + 0. Let z(s) = 18*s**p + 16*s**2 + 15*s**2 - 48*s**2. Let f(r) = 197*r**2 + 2*r. Give f(z(i)).\nAnswer: 197*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4109?\nAnswer: 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 7*m + 5. Let v be z(7). Suppose 3*o - 5*o = 18. Let h = o + v. Sort 4, -3, h in increasing order.\nAnswer: h, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 20*n**3 + 4*n**2 - 84*n - 72.\nAnswer: 4*(n - 2)*(n + 1)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*(l\/((l\/(l*l\/(l*l**(2\/13)*l)))\/l*l)*l)\/l)\/l))**(-8))**29\/(l**(-2\/13)\/(l**(-2\/5)\/l)*(l**(1\/3))**(-39)) assuming l is positive.\nAnswer: l**(-16636\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4408 = -959. What is the remainder when n is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Let q be m(-3). Let z(t) = -3*t**2 + 0*t**2 - 2*t**q. Let g(o) be the second derivative of -o**3\/2 + 5*o. Determine z(g(b)).\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*h**3 + 7*h**2 - 2*h + 79 wrt h.\nAnswer: 210*h + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.034 in 4, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960 divided by 15.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*j + 14, -4*s + 3*s + 5*j = 26. Let t(z) = -z**2 - 7*z**2 + 1 + 4. Let v(u) = 3 - u**2 + 0 - 2. What is s*v(p) + t(p)?\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 5. Let s be v(13). Let y(r) be the second derivative of -r**5\/20 - 3*r**4\/4 - 3*r**3\/2 - 7*r**2\/2 - r. Let u be y(s). Solve -u = 2*g + 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1620800 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 847580.5 meters in kilometers?\nAnswer: 847.5805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/4 + 7\/2. Let j be (-15)\/(-10)*14\/(-105). Which is the nearest to t? (a) 1 (b) 5\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 186\/(-434)*2772\/648?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55888937.\nAnswer: 13, 19, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h*j**2*y - 2*h*j**2 + 72*h*j*y - 3*j**2*y + 3*j*y wrt j?\nAnswer: 12*h*y - 4*h - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13*q + 780 = 0. Let c = q - 95. Let i(x) = -x**2 - 17*x + 30. Calculate the smallest common multiple of 20 and i(c).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44\/271 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 235584*f + 176. Let l(t) = 40222*t + 30. Let a(o) = 88*l(o) - 15*v(o). Let k(m) = -2*m**2. What is a(k(y))?\nAnswer: -11552*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by 3?\nAnswer: 106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5812 - 22*c**3 + 5812)*(2*c - 3*c**2 - 2*c) - c**5 + 18*c**4 - 18*c**4 + 2*c**5 - c**5 - 6*c**5.\nAnswer: 60*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 23154?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - o = 29, b - 3*o - 22 = -o. Suppose -8*h = -11*h + b. Suppose h = -2*z - 50. Is z < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 27 = -3*x, 4*g + 41 = -50*x + 55*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvzsllzvvlzfvsj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 17815204.7 to the nearest 1000.\nAnswer: 17815000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -8720.\nAnswer: -8719.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2638870141684.289963 - -2638871241363. Let d = m - 1099678. Let f = d - 0.71. Round f to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/(-51200)*32*290\/(-6).\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14208894 is divided by 69?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101 - 111?\nAnswer: -10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:37 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:30 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -431332?\nAnswer: -431313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134540332 (base 6) in base 9?\nAnswer: 26121552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 222 - -2?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 775908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27644 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*k + 224 - 1154. Solve 5*m = 14*n - 13*n, k*m = 4*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lgugluyuulgluyuyuy?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 115 - 314 - 1632*y + 1631*y + (1 + 1 + 0)*(2*y - y + 0*y).\nAnswer: y - 199","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -56297*c - 112527. What is p(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 16*g - 73. List the prime factors of i(-6).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -934, -1870, -2802, -3730?\n\"Answer: 2*n**2 - 942*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/10*170\/16)\/((-9)\/4644). What is the highest common divisor of z and 255?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 137*q - 14*q**4 - 137*q + (0*q**2 - 2*q**2 + q**2)*(-26 + 5*q**2 + 26) + (-2*q**2 + 2*q**2 + 2*q**2)*(-3 + 3 - 2)*(-124*q + 3*q**2 + 124*q).\nAnswer: -31*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -10) + 12 + -4 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 6:49 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = 1. Solve 0 = -w*j - 8 + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5. Let p(n) = -n**2 + 1. Let s(o) be the first derivative of -o**3\/3 - o**2\/2 - 2*o + 1. Let h(q) = l*p(q) + s(q). What is h(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-3)\/(27\/(-6)). Let c(f) be the third derivative of a*f**3 + 0 - f**2 - 1\/12*f**5 + 1\/3*f**4 + 0*f. Factor c(n).\nAnswer: -(n - 2)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 350518.5 centuries?\nAnswer: 3505185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103.52514 + -493.81.\nAnswer: -390.28486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 256248788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 404*m + 4*m**3 + 407*m + 1 to b*m**2 + j*m**3 + a*m + y and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -571? (a) -0.5 (b) -49 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/597576973 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 6*u - 2*u - 4*u**2 - 3*u - 1. Is x(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153 - 1153022151?\nAnswer: -1153021554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.065 and -208.4?\nAnswer: 13.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + 38 + -33 + 0 + 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/11 and -15\/29404121.\nAnswer: 323445331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + -5 + -2)\/(0 + -2). Let a be 1\/((1 - -2)\/9). Solve -2*k - 7 = -a*h - 3*k, 3 = -h + w*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -23*m + 21. Let h(q) = -8*q + 7. Let l(j) = 7*h(j) - 2*p(j). Is l(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 554 and 2.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -2\/3*u**3 + 0 - 7\/2*u**2 + 7*u + 1\/24*u**4. Let b(o) be the first derivative of y(o). What is b(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4 - 1014*u**3 - 427064*u**2 - 38157834*u + 38585911 = 0. What is u?\nAnswer: -169, 1, 1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 1, g: 1, s: 2, v: 2}. What is prob of sequence zs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331200323313 (base 4) in base 12?\nAnswer: 5497bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 - 9*f**2 - 3*f + 3. Let u(a) = a**3 + 4*a**2 + a. Let c(g) = 3*u(g) + x(g). Calculate c(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:45 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -21926 (base 11) to base 5\nAnswer: -2003410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -9. Let z = 30 + d. Let m = -4 - z. Is m equal to 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -132, 16, -0.1491 in ascending order.\nAnswer: -132, -0.1491, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12966.29 + 12966. Do w and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14110.2 - -14111.717452. Let j = x + -1.5856. Let o = -0.068 - j. What is o rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -61*k + 59. Let i(q) = -31*q + 31. What is 6*c(n) - 11*i(n)?\nAnswer: -25*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 13*n + 34. Let k(j) = -2*j + 1. Determine -g(q) - 6*k(q).\nAnswer: q**2 - q - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255062, 515457, 775852?\nAnswer: 1036247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*p - 28, -5*h - 8634*p + 8638*p - 34 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 8046*d**2 - 14 + 6303*d**2.\nAnswer: -1743*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 8:05 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 1. Let g be l(-1). Suppose -g*a + z = -7, -4*a + 15 = 2*z - 1. Solve -a = 3*n, -d = d - 4*n - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from ffmfmfmmffmm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 4*s. Let u be (-7)\/(-3) + 2\/s. Let c(p) = -p**3 + p**2 - u - p + 4 + 1. Determine c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56233 (base 7) to base 14.\nAnswer: -5253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 32776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 19. Let p = -7.5 - d. Let k = 5 - 7. Which is the closest to 1? (a) k (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1135\/45 - 2\/9. Suppose 3*q - 22 + l = 0. Which is greater: q or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -21. Sort 3, t, -38 in decreasing order.\nAnswer: t, 3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/45 of a hour?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67598342*d**3 + 115130219?\nAnswer: -202795026*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 40. Is 34 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 + -190\/3. Let k = -8.8 - -11. Let s = k + -1.7. What is the closest to 0.1 in i, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60409673.\nAnswer: 60409673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 7446715 = -1964047. Let p = t + 1574778. Round p to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 3*i**2 - 2*i**2. Let c(q) = 40*q**2 - 102*q - 6. Let v(y) = -7*y**2 + 17*y + 1. Let m(t) = c(t) + 6*v(t). Give m(z(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.95 - -0.05. Let y = 12.5 + -8.5. Which is the nearest to -2? (a) t (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 25. Suppose 57 = 3*u - u - l, -5*u - o*l + 129 = 0. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23260713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 11 + 1)*(2*x - 1 + 1) to n + s*x and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109 and 61367?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3334181, -6668335, -10002463, -13336565, -16670641?\n\"Answer: 13*m**2 - 3334193*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 8. Suppose -3*w = -8*w + 5, -5*d + 2*w + 48 = 0. Let z = -10 + d. Determine k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*x - 8 + 4, 8 = -4*x - 5*d. Suppose -2*j - 4 = -2*a + 3*j, a = -3*j - 9. Let y be (0 + 0)\/(4\/2). Put y, a, x in decreasing order.\nAnswer: y, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(180) + 3*sqrt(5)*2)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 794.2944*0.02\nAnswer: 15.885888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-12)\/(-6))*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -6*d. Let g(l) = 7*l. Determine g(z(a)).\nAnswer: -42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) 41 (c) 0.03 (d) 238\/13 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + q)*(-q - q + q) + 8*q**2 + 17 - 17 - q**2 - 10*q**2 - 8*q**2 - q**2 as w*q + y*q**2 + i and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 6*b + 4. Determine y(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2827 = -i - 8663, 2*d = 5*i + 2316. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 13*t**2 - 23*t - 22. What is a(-15)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 458.5 - 453.5. Which is the smallest value? (a) 2 (b) w (c) 1\/6 (d) 7\/5 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.064*0.5.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 39 - 13 = -5*m, 0 = -3*m - 5*h + 20. Let z be m\/3*(-108)\/90. Sort z, -5, -2.\nAnswer: -5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-seven halves of a day?\nAnswer: 26640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2301284664 to 5 dps.\nAnswer: 0.23013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26166*q**2 + 23288*q wrt q.\nAnswer: 52332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 394881423 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrhtowtwr. Give prob of sequence rwhw.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -21.1?\nAnswer: 21.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9704.04 rounded to the nearest ten?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 2. Let b be m(-8). Let p(j) = -j**3 + j**2 - 1. Let y(r) = 9*r**3 + 3*r**2 + 6*r + 6. Let g(a) = b*p(a) + y(a). Factor g(o).\nAnswer: 3*o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*d + 361*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2) - (5355\/(-14))\/17. Suppose -4*k - d = -9*k, -6 = 5*m - 4*k. Solve 9 = 3*y - m*l, -3*y + 4*y + 11 = -4*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22406713 >= -22406714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2 - ((-1)\/4 - 0).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0093 to 2 decimal places.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n**2\/11 - 52295460*n\/11 - 13674075683058\/11 = 0.\nAnswer: -2614773\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 91621152 to the power of 1\/2, to the nearest integer?\nAnswer: 9572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2. Let c(h) = -446*h**2 + 1308*h**2 - 450*h**2 - 419*h**2 + 13*h. What is c(v(b))?\nAnswer: -112*b**4 - 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 53 + -1069?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1102 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-5 - -9) + 8. Suppose w*l = -16 + 49. Let h(a) = -a**3 + 2*a**2 + 2*a - 1. Let v be h(2). Solve l*o - v = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1813*c + 35 + 5*c**2 - 1813*c + 3.\nAnswer: 5*c**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2 (b) 3\/2093 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1538*g - 321 wrt g?\nAnswer: 1538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3747483 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -48\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 50*h**6\/27 + 464*h**5\/9 + 2899*h**4\/9 + 784*h**3\/27 - 3400*h**2\/9 + 1792*h\/9 - 14371. Solve j(f) = 0.\nAnswer: -16, -7, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + (-10 + 5 - -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -149 + 194. Suppose 4*x - d = y, 2*y = -4*x + 14 + 16. Solve 30 = -5*f + x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 + h - 12. Let k(r) = -9*r**2 - 4*r + 48. Let b(u) = 4*c(u) + k(u). Let a(g) = 18*g**2 - 2*g. Determine a(v) + 2*b(v).\nAnswer: 16*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13015314 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Is 2*((-711)\/(-6))\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, o: 7}. What is prob of picking 3 o?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 163 and -2931 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 283\/4224145?\nAnswer: 283\/4224145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2. Let s be -14*(-1)\/1 - 1. Let w = -42 + 58. Let l(g) = 5*g - w*g + s*g. Give c(l(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-3)*2\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - n = -34*n - 429 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14944\/67 (b) 3 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 11:46 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (-30 + 67 + -60)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5) + 14\/20*1516\/5306\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1664) - (sqrt(1664) + 1*sqrt(1664) + sqrt(1664)))\/(sqrt(18) + sqrt(144)\/sqrt(8)).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (3 - (0 - -4)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) 0.5 (c) 4 (d) 150\/23 (e) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 25000 in increasing order.\nAnswer: -3, 2, 25000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgb when three letters picked without replacement from {i: 4, b: 3, g: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 1. Let b = 1 - 0. Let l be b\/1*(-8)\/2. What is the units digit of d(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 712 - 358. Calculate the lowest common multiple of 6 and z.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2045323 (base 7) to base 10.\nAnswer: -246781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -9*t + 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*c = 6, -5*p + 22 = -3*c - 0*c. Let w(f) = -2*f**2 - 2*f - 1. Let s be w(-2). Let a = -5\/14 - -6\/7. What is the biggest value in a, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(18)*-1 + 2*sqrt(72))*2)\/(sqrt(9) + 1*sqrt(1089) - (sqrt(1089) + 3*sqrt(1089))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(2 + 1) - -6. Solve -5 = 2*w - 3*k, 5*k = -v*w + 3*k + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -16 + -5 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o + 22*o + 206*o**3 - 34*o + 25*o.\nAnswer: 206*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 139 times 2.999298\nAnswer: 416.902422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*(sqrt(187) + (sqrt(187) - 1*sqrt(187)*5) + sqrt(187)))\/((((-2*sqrt(11) - sqrt(11))*-5 - sqrt(11)) + sqrt(11) + -1*sqrt(1331))*3))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/720 and 133\/64284?\nAnswer: 3857040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-882)\/7203*(-91)\/(-104)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5140606 - -0.04?\nAnswer: -5140605.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.59 + -66.41. Let g = 67.95 + t. What is the smallest value in 0, 3, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*m + 5*w, -8 = -5*m + 3*w + 6. Let s(j) = 5 + j - 3*j + m - 10 + 8*j**3. Calculate s(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -347, -607, -783, -869, -859, -747?\n\"Answer: n**3 + 36*n**2 - 375*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -786400 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/21 + 64*r**4\/21 + 2*r**3\/7 - 188*r**2\/21 - 128*r\/21 = 0. Calculate r.\nAnswer: -1, 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6880.79896 + 6906.8. Let m = -74 - -48. Let x = m + a. What is x rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*k + 136*k + 7*k)*(-105*k**3 + 66*k**3 - 4*k**2 + 2*k**2).\nAnswer: -7254*k**4 - 372*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1, -12.\nAnswer: -12, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.38 - -0.34. Let d be 2\/(-3)*(-3)\/(-2). Let j(v) = -v + 1. Let f be j(d). Which is the biggest value? (a) w (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 2 + sqrt(17)).\nAnswer: 6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-15)*4030500\/(-2). Let c be ((-106566)\/(-9))\/((-1)\/(-150)). Let p = c + k. What is p rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 + -0.08. What is the second smallest value in 4, f, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 7638?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*w - 5, 3*w - 2 = -l + 6. Let a(z) = 5*z**2 + z. Let j be a(l). Is 4 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 0*u**2 - u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801165202?\nAnswer: 2, 229, 1749269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = -28. Suppose -v*m - 1 + 1 = 0. Suppose -2*u = 4*r - m*u - 8, -4*u - 20 = -4*r. Solve -r*x = -6 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 + 5164*a**3 - 1504356*a**2 + 125516644*a + 257092088 = 0. What is a?\nAnswer: -2, 187, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, o: 9}. What is prob of picking 1 o and 1 q?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749768097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, 39, 49, 59, 69, 79?\n\"Answer: 10*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (113 + -48 + 35)*(3 - 4)\/2\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/4 + 325*l**4\/4 - 26567*l**3\/4 + 25919*l**2\/4 + 6642*l - 6561 = 0 for l.\nAnswer: -1, 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**10\/3024 - 7*i**6\/360 + i**4 + 7*i. Let s(g) be the third derivative of k(g). Find the second derivative of s(x) wrt x.\nAnswer: 200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhnyncyynhnhnynin. What is prob of picking 2 n and 2 y?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3268, -6583, -9898, -13213?\n\"Answer: -3315*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16 - -75 - (2 - -2). Suppose -53*m = -48*m - l. Calculate the least common multiple of 120 and m.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**2 + 2\/9*z**3 + 15 + 10\/9*z + 1\/18*z**4. Let t(d) = 0. What is d?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 1240215?\nAnswer: 1240200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from {m: 1, v: 1, g: 9, h: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1604 + -65.9496. Let z = -72.8 + 6.8. Let m = z - n. Round m to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1590053647 or 1590053646?\nAnswer: 1590053646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*d**3*y**3 + d**3*y - 2*d**2*y**4 - d**2*y**3 + 255*y**2 wrt y.\nAnswer: -54*d**3 - 48*d**2*y - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 2\/22130999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*l + 20 = 0, 2*q - 16 = -2*q + 3*l. Suppose 0 = -2*u - 4*n + 90, 5*n = -2*u + q*u - 108. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13104\/(-5148)*(-22)\/(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.01 - -0.03. Let f = -376.2 + 376.9. Which is the smallest value? (a) -4 (b) f (c) -0.2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -605*a = -602*a - 144. What is the remainder when 96 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 + -0.39. Let o(t) = -t - 9. Let g be o(-8). Let l = -1.7 + 0.7. Which is the closest to g? (a) 0.3 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**4 + 16 - 30*c**4 - 4 - 4 with respect to c.\nAnswer: -96*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 99*k + 74. Let n(b) = 98*b + 75. Let o(g) = -6*i(g) + 5*n(g). Is o(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238243 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 18. Let f(y) be the third derivative of -y**5\/60 + y**4\/24 - y**3\/2 + 76*y**2. Let m be f(-2). Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-32))\/(2\/(-56)) + (-43)\/(4773\/1073).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 14. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10 - 148\/(-20). Let v(b) = 4*b - 4. Let i be v(3). Suppose -5*s + i = -g*s. Sort s, -6, -2.\nAnswer: -6, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 4*y + 8. Let f be q(-6). Suppose 2*x + 5 - 13 = 0. Let o = x + 1. Calculate the greatest common factor of f and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than 4667.3288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/35)\/(5\/((-2240)\/(-48)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {e: 9, g: 3, y: 2, o: 4}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.84, 4, -0.29, 0.181?\nAnswer: -0.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v + 9. Let z be k(-6). Suppose 20 = u + 3*u, 0 = -4*g - 5*u + z. Let j be (5\/3)\/(((-25)\/5)\/(-15)). Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1097 + -267. What are the prime factors of v?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316011647 divided by 7.\nAnswer: 45144521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krjev. What is prob of picking 1 j and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*w + l, 56 = -3*w - 2*l + 144. Let d = -974 + 1136. What is the least common multiple of w and d?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351 a factor of 673638060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/3 - 8515388*z**2\/3 + 6042638540207*z + 60426669248670 = 0.\nAnswer: -10, 4257699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 684 + -1017. Let c = z - -333.1. Suppose 4*i + 5 = -3*p, 0 = -2*i + 3*p + 2*p - 9. What is the closest to i in -0.2, 4, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 14430 = -18*g. What is the hundreds digit of 5*(-13)\/(g\/4236)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -469.7 - -470. What is the third smallest value in o, -34, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -113*r - 4008. Let v be h(-36). Suppose 3*u = -4*o - 43 + 169, 0 = 3*o + 4*u - 98. What is the highest common factor of o and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o + 58 - 238 = 0. Let s(n) = 6*n - 28. Calculate the remainder when s(o) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*c**2 - 29\/4*c + 1\/4*c**3 - 15\/2 = 0 for c.\nAnswer: -6, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -5, -0.5, 5, -2\/33 in ascending order.\nAnswer: -5, -0.5, -2\/33, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - l**2 + 1. Let x(w) = -5*w**3 + 6*w**2 - 10. Let v be (6 + 1 + -4)\/3. Determine v*x(j) + 6*a(j).\nAnswer: j**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-6 - -6)) + -2 - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 5*i - 4. Let u be o(1). Solve 5*q = -2*y - u + 21, -5*q + 22 = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107 - 81 + 6413*y**2 - 6407*y**2 to the form a + r*y + c*y**2 and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 4:13 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)*-1 + sqrt(90))*2)\/(2*sqrt(576) - sqrt(9)))\/(1*2*sqrt(605) + sqrt(605) + 1*-1*sqrt(605)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4429 + 4465. Solve -u = -3*h + 2*c - 14, -4*c = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p + 2. Suppose -u - 4*y = -11, -7*y + 10 = -p*y. Suppose 0 = -2*k - u*k. Put k, -4, -2 in ascending order.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/((x**(-18)*x)\/x*x)*((x*x**24)\/x)\/x assuming x is positive.\nAnswer: x**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 876 + -874. Solve -5*b**4 + 7\/3*b - 3*b**5 + 1\/3 + 14\/3*b**h + 2\/3*b**3 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -2\/2623 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -2168182827.\nAnswer: -2168182826.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 13.5. Let j = r - -17. What is the third smallest value in 2\/33, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and -113806.\nAnswer: 136567.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 6 (c) 15 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 613328*y + 23510702224.\nAnswer: 4*(y + 76666)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = y + 4*y - 5, -3*i + 1 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 4, -0.004 in ascending order.\nAnswer: -1\/11, -0.004, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419.8 less than 361.7?\nAnswer: -1058.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:45 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 7737\nAnswer: 541.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g - 1. What is t(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 2 - -12) + -10 + -18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*3*-4)\/(sqrt(1728)*2 + sqrt(12))*-5.\nAnswer: 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 5 (b) -1 (c) -225\/68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278598793?\nAnswer: 11, 23, 53, 79, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 248*a**2 + 7628*a - 847. What is q(-212)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2437 minus 1870?\nAnswer: -1869.7563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 400871469 to the power of 1\/2, to the nearest integer?\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 4320.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/934 (b) -5\/3 (c) -1\/3 (d) -0.03 (e) 5 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:44 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -da?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) 5.1 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 0.01 (b) 26\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 7*n**2 + n + 9. Let p be y(-7). Solve s + p*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4673314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -416574.\nAnswer: 79\/416574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 611, -7, 0, -4.\nAnswer: -7, -5, -4, 0, 611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 399 divided by -6\nAnswer: -133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 89220 = 2*d, 4*d - 65147 - 1768 = -3*p. Let h = p + -13796. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i\/(i**1\/i)*i**(-2\/9) assuming i is positive.\nAnswer: i**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-12) + (-8694)\/13608. Factor -7\/9 - t*j**2 - 8\/9*j.\nAnswer: -(j + 1)*(j + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-64)\/(-288))\/(1\/9). Let x be ((-77)\/11)\/(1*(i - 3)). Suppose x*h - 46 = 10. Calculate the remainder when h is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, -1, -10\/9, -1703\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123939\/83600 - -26\/5225. What is the common denominator of -9\/176 and k?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1168*m**3 + 5 - 5 + 1162*m**3.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.185 - 14.985. Let x = n + -10.4. Let u = -30 - x. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 158114 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10977 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6 + (-19)\/3. Let f(s) = -s**2 - 110*s + 1511 - 1497 + 106*s. Let m be f(g). Solve -2*k = 2*k + 4*t - 24, -m*t = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 794 and -4.3.\nAnswer: -3414.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154037829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2642*c**4 + c**2 - c + 3804?\nAnswer: 10568*c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 5. Suppose -2*a + 44 = 3*v, -7*v + 3*v - 5*a + 61 = 0. What is the least common multiple of y and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -40 + 12*h + 1\/4*h**4 - 7\/3*h**3 + 2*h**2. Factor l(q).\nAnswer: (q - 6)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 3, -126, -612?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w - 7 = -63*w - 3*o, -5*o = -3*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3047 and 203872?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -6321782.\nAnswer: 2\/3160891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31425 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271489863?\nAnswer: 3, 677, 133673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1439149290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.2 - -29. Which is the nearest to 0.2? (a) k (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*o + 12*o - 248*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -170, -171, -174, -179, -186?\n\"Answer: -v**2 + 2*v - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 239954286 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 1\/6*b**3 - b + 3\/20*b**5 - 4*b**2 + 0*b**6 + 3 + 0*b**4 + 1\/42*b**7. Find the second derivative of n(r) wrt r.\nAnswer: 20*r**3 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, -13 in increasing order.\nAnswer: -13, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 63353.9283?\nAnswer: -63352.9283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 + 48*j**2 - 1792*j = 0.\nAnswer: -28, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -1775?\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48654 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 437 - -1257. Let u = 1693.063 - r. Let y = u + -0.063. What is the smallest value in y, 4, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17395192184.8669 and 0.2?\nAnswer: 17395192184.6669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**6\/840 + 3*j**5\/140 + j**4\/8 + 2*j**3 - 5. Let t(n) be the third derivative of s(n). Let t(h) = 0. Calculate h.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61884 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-6\/11)\/(p\/(p\/(p*p**(3\/4)))*p*p**(5\/7)) assuming p is positive.\nAnswer: p**(-983\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**5\/10 + 23*t**4\/12 + 49*t**2 - 54*t. Differentiate n(o) with respect to o.\nAnswer: 6*o**2 + 46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/4)*l\/((l\/l**11)\/l)*l*l)**(-4\/7) assuming l is positive.\nAnswer: l**(-53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 846, 1536, 2014, 2286, 2358, 2236, 1926?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -22*w**5\/13 - 224*w**4\/13 + 290*w**3\/13 + 940*w**2\/13 - 808*w\/13 - 176\/13 = 0.\nAnswer: -11, -2, -2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 20. Let m = 2.29 + f. Round m to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 13 = -2*g, 12 = -3*g + 3*u - 6*u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21348450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54668 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11*c**2 - 34*c + 1. Determine s(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 23*l = 24*l - 17, 0 = -g - l - 1. Solve g*x = 10*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 904638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 32*q - 20. Let y be u(6). Let g = y - 102. Suppose -5*k + g = x, 3*x - 190 = -x - 2*k. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -405472?\nAnswer: -405472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/3 + 62*x**4\/3 + 596*x**3\/3 + 1628*x**2\/3 - 598*x\/3 - 1690\/3 = 0.\nAnswer: -13, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (11 - (-7 - -32 - 12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/6 + 11*m**3\/2 + 10*m**2 + 2*m + 2. What is l(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + p**2 + p + 2. Let m be z(0). Let s be 232 + -227 - (2 - 46\/(-16)). Which is the closest to m? (a) s (b) -3\/4 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 340148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, -1\/4, -0.4, -1 in descending order.\nAnswer: -1\/4, -0.4, -1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.06155 rounded to one decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/87, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*v + 5*t - 12*t + 10*t + 1470 = 0, 5*v - 65 = -2*t for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 25 = 3*n, -20 = 3*n + j + 3*j. Suppose n = v + 5*h + 3, -3*h = -5*v + v + 11. Which is smaller: 25 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-10 - 312\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508882 is divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 o when four letters picked without replacement from {o: 5, n: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) 8 (c) -5 (d) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 t when two letters picked without replacement from nttdnttmdmtdd.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let l be q(-4). Let g be -4 + -1 + 2\/l. Put g, 5, -3 in descending order.\nAnswer: 5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -1078.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5169.801 litres to millilitres.\nAnswer: 5169801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43473 is divided by 971?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537221?\nAnswer: 537221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -22*h - 393. Determine f(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.1 in -4, -3, -1\/8, -3101, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 611785.1000014 + -611785. Let d = -0.1 + b. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38534887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-15) + 101\/5. Suppose 0 = -5*w + 2*g + u, 0*g - g = -3*w + 11. Sort -5, w, 22 in descending order.\nAnswer: 22, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26504 - 4?\nAnswer: -26511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -397, -3722, -12739, -30292, -59225?\n\"Answer: -474*g**3 - 2*g**2 - g + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**6\/120 + i**5\/30 + i**4\/12 + i**3\/6 - 3*i**2. Let r be v(-1). Let z be ((-3)\/12)\/(6\/16). Does z = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (0 - 0) + -11 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2)*4\/(180\/(-5))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -5*j - 2*l + 1398, 0 = -2*j - 2*l + 632. Let k be j\/4 + (-2)\/8. What is the greatest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195.5 + -196. Let t = 0.03 + 0.44. Let q = t + -2.47. Which is the third biggest value? (a) -5 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 85, 236, 515, 964, 1625, 2540, 3751?\nAnswer: 5300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 956\/7 and 138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1812 - -1971. Calculate the greatest common factor of r and 17331.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**6\/60 + 5*u. Find y, given that c(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 108 = -5*u. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whivvxvixiwwiv. Give prob of picking 1 x and 1 h.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 5*a**3 - a + 2*a + 2*a.\nAnswer: 6*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 13*n + 12. Let a be q(14). Let w = -686 - -685.63. What is the nearest to -1\/4 in 3, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374 != 4186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -224 + -24?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-214)*4\/(-10). Let j = 242\/749 - k. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*c + 5787 + 17649. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*2)\/((-11)\/(-22)). Solve -r*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/50*0*(230\/25 + -9). Let y = 6 + -9. Put -5, s, y, 2 in increasing order.\nAnswer: -5, y, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3 - 414844*h**2 - 1843344*h.\nAnswer: 12*h - 829688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a*a*a**(-2)*a)\/a)\/(a\/a**(-1\/8)*a*a*a))\/(a**(-1\/3))**26 assuming a is positive.\nAnswer: a**(157\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhtt when four letters picked without replacement from {h: 2, p: 1, z: 1, k: 3, v: 3, t: 5}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 193212 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0 - 5) + (-2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Let b(c) = c**2 + c + 1. Let i(t) = t**3 - 2*t**2 - 2*t - 3. Determine x*b(n) + i(n).\nAnswer: n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 2*s**5 - 2*s**5 + (0*s**3 - s**3 - s**3)*(4 - 4 + 2*s**2) - 489*s**3 - 14*s**5 + 489*s**3.\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1, -33, -82 in ascending order.\nAnswer: -82, -33, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 20\/(-12))\/(13\/156).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dde when three letters picked without replacement from {a: 2, e: 4, x: 2, d: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -p + 6, -3*c = -12*p + 232 - 190 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0751616 minus 918887?\nAnswer: -918886.9248384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/4 + 88527*w\/4 - 486959\/2 = 0?\nAnswer: -88538, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -2\/3 (c) 1\/12 (d) -86711 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 10:37 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 58. Let s(j) = -j**3 - 4*j**2 + 6*j + 5. Let g be s(-5). Suppose g = d*o - 147 - 53. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-56)*((-9)\/(-3))\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44310 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 9 = -10*d + 11*d, -s = d - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.20272 times -0.1?\nAnswer: 0.420272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 133 = -622. Does 16 divide (-9)\/15 - t\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2123 + -1473367?\nAnswer: -1471244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + (-14)\/(-4))*-2*-5. Suppose -3*s - 2*s = 0. Let g be (-2*1)\/(-1) + s. Sort g, -4, h in decreasing order.\nAnswer: g, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/((-6)\/11331). Suppose 2*t + 3*k = 7156 - q, -4*t - 4*k = -11800. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 1, i: 1, t: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -2, 0.9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8551957.\nAnswer: 19, 450103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-33)*3\/(-7). Factor -12\/7*s - p*s**2 - 18\/7.\nAnswer: -2*(s + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t - 35. Let r(h) be the first derivative of 3*h**2\/2 - 1300. Determine y(r(k)).\nAnswer: -18*k - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 1)\/(0 - -4 - (-1296)\/(-108)). Let k = 0.3 + -0.1. Let b = -0.22 - -0.02. What is the closest to b in v, -1, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -151 >= 9960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4*(5 - 3). Suppose 0 = 3*i - 3 - s. Sort 6, -0.2, i in decreasing order.\nAnswer: 6, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 1:37 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 15) + 19 + -7 + -18.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118514067 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*t - 15. What is the lowest common multiple of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*g + 32, i - 16 = -5*g + 17. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*x = -22, -1 - 15 = 3*y + 2*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 44, 42, 30, 2, -48?\n\"Answer: -l**3 + l**2 + 2*l + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s. Let q be u(1). Suppose -q*y = -132 - 21. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.8 - 11. Let q = -31.3 - -30.1. Let v = f - q. What is the nearest to v in 0.4, 1, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -238.653208 to zero dps.\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g - 41. Give w(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1\/3, -126?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -144 - -160. Let j(n) = 2*n + v + 7 - 23. Let k(g) = 10*g. Give k(j(c)).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2764752 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 * -4164250.\nAnswer: 108270500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -25153420 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 17*z - 33. Determine a(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5560?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kdkd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001557 rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**6\/360 - i**5\/20 - 7*i**4\/24 + 5*i**3\/3 - 6. Let m(q) be the third derivative of d(q). Calculate m(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**3 - 8*l**3 - 7*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5 - -7500166265.\nAnswer: 7500166273.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -17050 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 6, d: 2, c: 9}. What is prob of picking 1 a and 1 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-20))\/((-98)\/336)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 17706*r**2 + 11505*r**2 - 19106*r**2 + 21 - 68 + (4*r - 4*r - r)*(-r + 2*r + r) in the form h*r + b*r**2 + p and give b.\nAnswer: -25309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*v - 229284 + 67293, 4*x + 3*v = 129609. Suppose -x = 65*h - 69*h. Round h to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 120\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 2960?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-8))\/((2 - 1)\/(-16)). Let n be (-6)\/(-27) - c\/36. Suppose 4*m = -2*h + 74 + 132, -4*h + 5*m + 425 = n. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 61*b - 25. Calculate o(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 1 + m + 2*m)*(0 + 2*m + 0).\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjsssassjsjjs. Give prob of picking 2 j.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -394*l**5 + 25365*l**4 + 1394901*l**3 + 859060*l**2 + 84000*l = 0. What is l?\nAnswer: -35, -1\/2, -24\/197, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*o - 938, -33*o + 31*o + l + 640 = 0. List the prime factors of o.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2691 less than -2688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 7. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2731 - 2730.8701. Round j to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j + 30. Let o be i(-3). Suppose -4*c - 8 = 5*h - o*h, 0 = 3*h + 5*c - 58. Calculate the remainder when 45 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 5 = -2*p - l, 0 = 2*p + 3*l + 15. Which is the closest to -2\/5? (a) -0.1 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4427 + 4438. Let m(r) be the second derivative of 23\/10*r**5 - 7\/15*r**6 + 0 + 13\/3*r**3 - 2*r**2 - 9\/2*r**4 + b*r. Determine t so that m(t) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 + 331 = -3*i. Let h = i + 68. What is the closest to h in 0.5, -2\/9, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g. Let u be (-3)\/(-6) - 5\/(-2). Suppose -15 = c - 4*b, -u*b + 3 = -2*c - 7. Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in -1, -70\/11, 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 10 - 166. Let r = 77 - x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 9. Let a be m(-9). What is the closest to a in 4, -0.1, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 2002101?\nAnswer: -2002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 819277, 819267, 819257, 819247?\n\"Answer: -10*w + 819287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/14 and 39\/554.\nAnswer: 3878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**(6\/35)*((p**1\/p)\/p*p)\/(p**1*p)*((p**(-2))**(6\/19))**(-10) assuming p is positive.\nAnswer: p**(14578\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -643628909*f**2*n + 482556*f*n - 196*n wrt f.\nAnswer: -1287257818*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32230278 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8873 is divided by 1107.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*5.3472.\nAnswer: 21.3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9823546 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1960563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 491, -4, -5, -118, 4, -3, -6 in decreasing order.\nAnswer: 491, 4, -3, -4, -5, -6, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.311 + -0.381. Is -1\/5 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-364)\/(-63) - (-4)\/18. Let p(t) = 4*t - 1. Let y(b) = b. What is a*y(n) - 2*p(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**8\/1680 - o**7\/420 + 5*o**4\/12 - 4*o. Let v(t) be the third derivative of b(t). Find the third derivative of v(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:55 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1602648 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7480 and 12676840?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9534, -19100, -28702, -38340?\n\"Answer: -18*g**2 - 9512*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen quarters of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104600 (base 8) to base 13.\nAnswer: 13039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17707 is divided by 513?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 = -7*p - 428 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/533647233?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 116*i - 115*i = -24426, -5*i = -20. What are the prime factors of m?\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -55a - 2a08?\nAnswer: -3467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-2\/9)*s**3*s)\/(s**(-1))**(2\/3))\/(s**1\/s**(-2\/11)*((s*s**(2\/9))\/s)\/(s\/((s*s*s*s*s*s\/(s\/(s\/(s**6*s)))*s)\/s))) assuming s is positive.\nAnswer: s**(214\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563073*k - 570*k**2 + k**3 + 563073*k - 2.\nAnswer: k**3 - 570*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czooqq. Give prob of picking 1 z and 2 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12809.3212 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1666222 (base 7) to base 11.\nAnswer: 15067a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-20)*4 - -18 - 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2682065888?\nAnswer: 2, 83814559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*a - 186*a + 7155 = 144*a. Solve -64*v + a*v = 185 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by 2990\nAnswer: -21\/1495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/1787549 or -1?\nAnswer: 4\/1787549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 105*m**2 - 96*m + 1115. Calculate j(-106).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3958 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 105773696699.3 and 15.\nAnswer: 105773696714.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1771 - 1770.7. Sort -18, -6, g.\nAnswer: -18, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -271698465.1169?\nAnswer: 271698470.1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124300235 rounded to three decimal places?\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/918)\/(((-3990)\/1080)\/(-133))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/63936 and -21\/4736?\nAnswer: 127872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245204 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17219612?\nAnswer: 2, 4304903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 7*b**2 + 2*b + 36. Let q be l(-6). Calculate the highest common factor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 5, y: 3, z: 9}. What is prob of sequence cyz?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101100120 (base 3) in base 2?\nAnswer: -10000010000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2022, -4045, -6068, -8091?\nAnswer: -10114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138225910 to the power of 1\/2, to the nearest integer?\nAnswer: 33738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 2*j**2 + 5*j + 3. Let p be x(-4). Let f = p + -5. Solve -2*y + 0*y + f = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/3390 and 137\/10170.\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*t**2*u**3 - 2*b*t**2*u**2 + b*t**2*u + 5*t**2*u**3 + 1392*t*u**3 + 13*t*u**2 - 6*u wrt u?\nAnswer: 12*b*t**2 + 30*t**2 + 8352*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27\/32 + 1151\/1440. Calculate the common denominator of q and 61\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n - 3*n)*(-n**3 - n**3 + 0*n**3) - 176*n**3 + 370*n**3 - 194*n**3 - 979*n**4.\nAnswer: -977*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4349223 nanograms to micrograms.\nAnswer: 0.0004349223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.34 * -0.640329\nAnswer: -0.85804086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2. Let q(y) = -9252*y**2 - 1. Determine q(f(m)).\nAnswer: -1119492*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 74\/44 - 21\/14. Find o, given that -2\/11*o + 2\/11*o**2 + 2\/11*o**3 - m*o**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 1 - (-93 + -12 + 41)) + 11 + -14?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*b = -113*b - 20. Let l be (1\/(-2))\/((-2)\/(-4)). Let s be l*(-6 - (2 + -3)). Solve b*m + s = 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - y - 1. Let q be v(2). Let d(s) = s**2 + 120*s - 1304. Let k be d(10). Put k, q, -2 in decreasing order.\nAnswer: q, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2169\/482 + 18\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 23*z - 20*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 306 = -493. Is l\/(-9) - (-10)\/45 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6388 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + 2*j - 1. Let n be (-20)\/(4 + -2) - 3. Let l(x) = -9*x**2 - 4*x + 3. Let c(a) = n*z(a) - 6*l(a). Does 7 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 450 - -169. Let x = -279 + p. List the prime factors of x.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-4 + 14) + 14. Solve -3*l - t - 10 = 2*l, -23 = 3*l + x*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**4\/6 - 186*c. Let g(f) be the first derivative of -f**2\/2 + 1. Calculate q(g(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.76 or 3\/1661?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1367824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127 a factor of 3423355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + 19*s - 5. Let m be t(9). Suppose 6*a + 10 - m = 0. Is 6\/18*(3130 + a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3\/24 + 583*l**2\/8 + 1167*l\/8 - 6895. Factor k(h).\nAnswer: -(h - 1167)*(h + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102202022 (base 3) to base 5.\nAnswer: 233232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1, -917, -1 in descending order.\nAnswer: 0.5, -0.1, -1, -917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/9))**(-11\/2) assuming j is positive.\nAnswer: j**(-11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 64*a**3 + 3*a**2 + 9*a - 6. Let k(t) = -62*t**3 - 2*t**2 - 7*t + 5. Determine -5*k(z) - 4*r(z).\nAnswer: 54*z**3 - 2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*m + 20, -4*d + 8 = -0*d - 2*m. Solve -34*o + 24*o + 40 = d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6254*k - 75009. What is i(12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 + 3499*h\/4 - 591090.\nAnswer: -(h - 2584)*(h - 915)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.039 + -4.161. Let a = 4 + d. What is the nearest to -0.1 in a, -1\/2, 4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6d (base 15) to base 3\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(1\/7)*a*a**(-3) assuming a is positive.\nAnswer: a**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1290 + (-7*48\/(-56) - 11). Are -1295 and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 5*z - 4*z - 2 + 2 - 2*z + 0 + 0 + z - 2*z + 2*z - 2*z + (-3*z + 4*z + z)*(-2 + 3 + 1) - 5*z + 2*z + 4*z + 0*z + 0*z + 2*z - 2 + 2 + z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*a + 6. Let t(b) be the third derivative of -b**4\/24 + 23*b**3\/6 + 23*b**2. Let f be t(13). Calculate the greatest common factor of a and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271536455 to the power of 1\/2, to the nearest integer?\nAnswer: 16478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**3*v**3 + 504*m**3*v**2 - 15*v**3 wrt v?\nAnswer: 18*m**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 1)*(1 + 2*z - 1)*(-8 + 1 + 2).\nAnswer: -60*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 176532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17\/d)**45\/(((d**21*d)\/d)\/(d*((d*d**(-2\/29))\/d)\/d)) assuming d is positive.\nAnswer: d**(20269\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -24. What is the nearest to 3 in -2\/3, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 777*o - 2310. Give h(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -145.\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -6*k. Let t be (1\/(-8))\/(24\/192). Sort 1, t, k in descending order.\nAnswer: 1, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251 + 0?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3392764, 6785557, 10178414, 13571365, 16964440?\nAnswer: 20357669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 181*z**5\/60 + 23*z**4\/24 + 15*z**3\/2 - 123*z**2. What is the units digit of q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-4\/3)*j*j**(-1\/19))\/(j\/j**6*(j\/(j*j*(j*j**(4\/5))\/j)*j)\/j*j))**(-40))**(11\/3) assuming j is positive.\nAnswer: j**(-160864\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -4, -63, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13417 <= -13416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*k*v**3 - 2*k*v**2 + 64267*k*v*x + 57*k*x - 21*k + 2*x - 526 wrt v.\nAnswer: -27*k*v**2 - 4*k*v + 64267*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*v + 32 = 297*v, -2*d - 3*v + 24 = 0. Solve d = -128*f + 88*f + 240 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tya when three letters picked without replacement from tytayyyytayty.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 0.126, -6.77 in descending order.\nAnswer: 6\/5, 0.126, -6.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 695, -112 in ascending order.\nAnswer: -112, -4, 3, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*c**3 - 1613 + 339*c + 0*c**3 + 5*c**3 - 178 - 375*c + c**2 wrt c?\nAnswer: 45*c**2 + 2*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 2020*u**3\/3 - u**2 + 4680*u - 67. What is the second derivative of d(p) wrt p?\nAnswer: 4040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 5*z**2 - 4*z - 10. Let f be x(6). Solve -h = 2*p - 5, f*h + p = -3 - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j + 2 = 0, -4*u = -5*j + 18. Let v = 13 + -3. Let z = v + u. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 - 6*k**5 + 2*k**5 + k**4 + (2*k**4 - 4*k**4 + k**4)*(0*k + 6*k - 2*k).\nAnswer: -8*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 3*i)*(i - 2*i + 2*i)*(101*i + 44*i - 35*i).\nAnswer: 440*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -536746*o**2 + 10*o + 7196974 wrt o?\nAnswer: -1073492*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -23. Let s be (33\/(-12))\/(a\/28). Let z(o) = -4*o**3 + 2*o**2 + o. Let i be z(-1). Solve -4*h = -2*m + 4, i*h - m + s = -0*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 14, -531\/7?\nAnswer: -531\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 + 4*b + 9. Let f(o) = -o**2 - o. Let h(s) = -4*f(s) + m(s). Let g be h(-7). Suppose v = g*n + 191, 5*v - 475 - 480 = -n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + (-270)\/(-9) + -5 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 195?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14490, -116413, -393212, -932325, -1821190, -3147245, -4997928, -7460677?\nAnswer: -10622930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 171657434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z - 18 - 91 = -4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -19 + -85 + -20 - (-18 - 2).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 0.2, 1 in increasing order.\nAnswer: -110, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32798, 65598, 98398, 131198, 163998, 196798?\nAnswer: 229598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**2. Let w(j) = -2*j**2 - 2*j. Let x(f) = -10*f**2 - 8*f. Suppose -14*l = -11*l - 3. Let n(c) = l*x(c) - 4*w(c). Calculate n(y(a)).\nAnswer: -200*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -289*-26\nAnswer: 7514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 14 = q, -32 + 3 = -2*q + 5*l. Calculate the remainder when 21 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000001 - -10?\nAnswer: 11000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**2 - 5*o + 2. Let c(n) = -9*n**2 + 4*n - 2. Let d(z) = -5*c(z) - 4*j(z). Let g(y) = 4*y**2 + 1. What is 3*d(u) - 7*g(u)?\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 9*u**2 - 19*u - 31. What is q(-11)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4605 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -0*c - 4*m + 29, -2*c = 5*m + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 130, 8, -4\/25?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-9)*q**(-8\/3)*q)**9 assuming q is positive.\nAnswer: q**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 6*f + 4*f**2 - 15*f**2 + 3 + 8*f**2 + f**2. What is the remainder when 188 is divided by j(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*p**5 + 29*p**2 + 2*p wrt p.\nAnswer: 8280*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -818*(-15 + (-406)\/(-28)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.804ml in litres?\nAnswer: 0.895804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*t - 49*t. Solve 2\/9*l - 2\/9*l**3 + 0 + t*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**2 - 266*s + 8675. What is i(-160)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2 and -151\/306223722.\nAnswer: 306223722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -41, -48, -55, -62, -69?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - 41?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29 + -3 + 33684\/1050\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8074 and 172490.\nAnswer: 1897390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 545 = 3*l. Let w = -109 - l. Solve -4*s - 22 + 2 = w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*l + 158*l + 2*l**3 + 107 - 89*l to v*l + n + y*l**3 + r*l**2 and give n.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = -m. Let k be 5*(-4)\/30*-3. What is the remainder when 41*m\/(-2)*k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Suppose 2*b + c*b = 0. Suppose b = -t + 5*t. Let x(s) = -s**2 - s + 8. Calculate x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) + 681672\/45. Let x = l - 15235. Let m = -87 - x. Which is the second biggest value? (a) 0 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -3 (c) -5 (d) -2\/27 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 16*s**2 - 16*s - 7. Let z be m(-17). Let p = z - -35. Let b = p + -9. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -415759 at most -415759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5285*j**2. Let b(p) = -5*p**2 - 2*p + 2. Let i(t) = -7*t**2 - 3*t + 3. Let m(w) = -6*b(w) + 4*i(w). Give m(d(x)).\nAnswer: 55862450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 17 = 4*v, -13 = 3*c + 2*c + v. Sort 0.4, c, -4 in ascending order.\nAnswer: -4, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190)\/(-285))\/(4\/(-6) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 361704119*g**5 + 41716431*g - 10?\nAnswer: 7234082380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/1*(-23 + 24). Suppose t*m - 47 = -51. Let d be m*(12\/(-8)*2 - -1). Which is smaller: 57 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133423333 - 11?\nAnswer: -133423344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 10808640?\nAnswer: 10808640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z**2. Let h(o) = 2*o - 3. Let m(v) = -8*v + 13. Let k(s) = 26*h(s) + 6*m(s). Calculate k(r(d)).\nAnswer: 76*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, b: 1, v: 9, p: 1, m: 4}. Give prob of sequence mmvh.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -132401*w - 2*w**4 + 516*w**2 + 119*w**3 + 6*w**4 - w**3 + 66046*w + 66067*w = 0.\nAnswer: -24, -6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -665*z + 47232. Give u(71).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 32, 0.095388 in decreasing order.\nAnswer: 62, 32, 0.095388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d**4*p + 185*d**3*p**3 + 18888*p**3 wrt d?\nAnswer: 12*d**3*p + 555*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2 - d - 4. Let t be u(-7). Let c be 5*((-2)\/10 + 1). Differentiate -c*k - 2 + t*k + 3*k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -516 and 0.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m**2 - m**3 - 4*m**2 - 4*m**2 - m**3 + 5*m**3 = 0 for m.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9140486*g**3 - 15*g**2 + 2*g + 27419.\nAnswer: -54842916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 7) + (7 - (-6 + -2)). Suppose 0 = -2*j - p*j + 20818. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -9*d**2 + 179*d - 5904. Determine g(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*5\/20)\/(2\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. What is the smallest common multiple of d and 16\/(-10)*(-5)\/1?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i - 16 - 2*i - i**2 - 15*i. Let s be f(-3). Suppose 4*t = 2*o + 2*o - 428, -3*o + 305 = s*t. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 83872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 6*v + 1406. Let z(u) = 14*u**2 - 23*u + 5625. Let d(y) = 9*k(y) - 2*z(y). Differentiate d(h) wrt h.\nAnswer: -2*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 1 l when three letters picked without replacement from {d: 2, u: 2, c: 1, l: 6, g: 3, s: 1}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20536 divided by -4?\nAnswer: -5134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/21)\/(90\/(-210)). Let s(z) = -6*z + 4. Let p(i) = 1. Determine v*s(w) - 6*p(w).\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*r)*(-111*r**2 + 142*r**2 - 116*r**2).\nAnswer: -255*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41486540 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-z - 3*z + 3*z)*(5*z**3 + 0*z**3 - 4*z**3) + 9*z**4 + 9*z**4 + 9*z**4)*(1 + 2 - 2) as g*z**3 + s*z**4 + b + x*z**2 + i*z and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*d - 29. Suppose -5*y + 3 = -d. What is the least common multiple of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 + 10 = -u. Suppose -u = 3*j - 243. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369015794 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*m + 13693, 0 = 4*m - 2*l - 9009 - 4681. Suppose 3576 = 14*s - m. Is s a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6116 and 778956?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 6*b**2 - 3*b**2)*(-3 + 3 + 1) - 2*b**2 - 5 + 5 - b**2 + 3*b**2 - 4*b**2 - 630*b**2 - 8050*b**2 - 8960*b**2 + 2195*b**2.\nAnswer: -15448*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 4:37 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1916*b - 84 = -1921*b - 4*c, 3*b - 53 = -5*c for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/407 and 51\/1004698?\nAnswer: 11051678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + -5. Let c = n - -32. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1912 divide 2901266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 990.1715086 from -666.\nAnswer: -1656.1715086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s**2 + s**2 + 3*s**2)*(4349 - 1408 + 7030) - s + s - s**2 in the form x + g*s**2 + v*s and give g.\nAnswer: 19941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2280 (base 13) to base 5.\nAnswer: 123321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -280, 1, 5, -0.2, 2.\nAnswer: -280, -7, -0.2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 7) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o - 1. Let x be (-74)\/(-407) + ((-46)\/22 + 2)*-53. Let b(n) = -9*n. Calculate x*a(p) + 6*b(p).\nAnswer: -4*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*o**2)*(-4*o**2 + 5*o**2 - 3*o**2)*(4 - 3 - 2)*(-4*o - 5*o - 2*o).\nAnswer: -66*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.6 - 3.4. Let x = g - -17.9. Put -2, 3, x in descending order.\nAnswer: 3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*t - 54, 2*t - 3 = t. Solve -5*h + 19 = -3*d, -10 = 5*d - 4*h + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 250889912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1 = -3. Solve 4 = -4*j + 4*m, -i*m + 11 = -j + m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1734 divided by -17\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x + 165. Let b be 9\/(-6)*4\/(-6). Let w = b - -11. What is the remainder when x is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1221?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715460 and 127488.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 37*c - 1056. What is a(27)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4 - 725859*i**3 + 7258658*i**2 - 23227776*i + 23227808 = 0.\nAnswer: -725869, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 4*w + 7*w)*(7 + 546*w - 20 + 12).\nAnswer: 4914*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvzvzvgvgvgvvvv. Give prob of picking 2 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 20 - (587 + -514).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*j*k**3 + 966*c*k**3 - 68*c*k**2 - 26*c*k + 7*j*k**3 - 7*j*k**2 wrt k?\nAnswer: 6*c*j + 5796*c + 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 241?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -4*c + 3, 4*c = 4. Let b(k) = k**3 + k**2 + k + 1. Let j be b(y). Let u(h) = h**2 - 22*h + 20. Let l be u(21). Put j, l, 4 in descending order.\nAnswer: 4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5298 + -640465.8.\nAnswer: -635167.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 16\/25 (b) 5518 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 1. Let r be j(-3). Suppose -3*n - r*n + 10 = 0. Let h be (-3 + 2)\/((-2)\/(-10)). Put n, 3, h in decreasing order.\nAnswer: 3, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -516055\nAnswer: -56\/516055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from zzcjccblzbccvbj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 13453 = -3*z - 2891, 7042 = 2*z + 3*y. What are the prime factors of (z\/14)\/(14\/49)?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -28 + 153. Calculate the highest common divisor of k and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1.34. Let t = -0.04 + c. Which is greater: t or -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/137600 and 47\/4692160?\nAnswer: 46921600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + -2 + (2385 - 2326).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -21 + 14 + 8562\/(-10). Let s = 864 + n. Find t, given that s - 4\/5*t - 4\/5*t**2 + 4\/5*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 175647938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/3 - -3)\/1. What is the units digit of 8*(g + 1 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -17. Let m(l) = -l**3 - 18*l**2 + 37*l - 61. Let f be m(-20). What is the tens digit of c + 18 - (-3)\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, r: 9}. What is prob of sequence rh?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-90)*21\/42\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/78 + x**3\/13 + 2*x**2\/13 + 20*x. Factor z(s).\nAnswer: 2*(s + 1)*(s + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (5726 - -3) - -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 5)*((0 + 0 - 1)*(-3*k**3 + 2*k**3 + 0*k**3) - 10346*k + 10346*k - 346*k**3) to the form r + o*k + v*k**3 + s*k**2 and give v.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(80) - sqrt(80)) + 1 + -3*(-2*sqrt(80) + -3))**2*4.\nAnswer: 2496*sqrt(5) + 12196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192005879 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15*(-3)\/2. Let l(u) = u**3 - u**2 - u + 1. Let h be l(y). Suppose -1 = -b - z - h*z, 2*z = b - 13. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 304 - -113. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*i**5 - 2385*i**4 - 41380*i**3 - 182625*i**2 + 317630*i - 91200 = 0. What is i?\nAnswer: -32, -19, -10, 3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 9)*(2*g + g - g + (-4 + 3 + 3)*(1 + g - 1)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -208913*z. Let o(u) = -18*u**2. Give o(q(d)).\nAnswer: -785603548242*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((sqrt(65)*-1)\/sqrt(5))**2) + -2 + (sqrt(1573) + 2 + 1)**2.\nAnswer: 67*sqrt(13) + 1567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -178*n*u**3 + 40601*n*u + 11932490*n wrt u.\nAnswer: -534*n*u**2 + 40601*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - 0.03000114. Round x to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*j**3 + j**2 + 128*j**3 + 4*j**4 - 3*j + j**4 in the form s*j**4 + m*j + b*j**2 + f*j**3 + r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 192 = 306. What is the remainder when k is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 + 66. Let m = 13.65 - 15.65. What is the nearest to 1\/9 in m, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1204?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -6. What is the third derivative of -31*x**3 - r*x**5 - 3*x**2 + 31*x**3 wrt x?\nAnswer: -420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -136?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/560 or -154?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*j - 2*r - 112 = -135*j, -j - r + 5 = 1 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129 + (783 - 765 - (1 - -29)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*3\/6 - (1 - 518). Let t = d - 207. Suppose t = 3*g + 7*g. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6 - 8)*(-29 + 9*h + 29) + (3 - 4 - 1)*(2*h - 2*h + h)*(-1 - 1 + 1).\nAnswer: -142*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0537 or 769739?\nAnswer: 769739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 133082 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*d**6 - d**3 - 2*d**2 - 2851 wrt d?\nAnswer: 5520*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 14, y: 1}. Give prob of picking 1 y and 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14528350 and 93250?\nAnswer: 72641750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -955000620*j**3 + 615835799 wrt j?\nAnswer: -2865001860*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 5718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*w - 6 = -p, -4*p + 4*w = -8. Suppose -p*x = y - 4 + 1, 2*x + 3*y + 1 = 0. Is -2 + x + 15\/1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -201? (a) -3\/5 (b) 1\/3 (c) -0.1 (d) 4 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408630 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 + 449*q - 1336. Calculate the remainder when (2 + -1)\/((-2)\/(-446)) is divided by r(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h + 2. Let a(r) be the second derivative of -r**4\/12 - 4*r**3\/3 - r**2 - 21*r. Let o be a(-8). Determine n(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 - 15)\/(3\/(-97)). Suppose -o = -4*y + 103. Calculate the highest common divisor of y and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -g + 6, -4*t - 3 + 5 = -2*g. Let s be 2 + 1 - 1*-1. Suppose w - 26 = -s*l, w = 5*l - 2 + t. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = -0. Let p(y) = 17*y - 6. Is p(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8590021 is divided by 982.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 10*y - 3. What is the least common multiple of 6 and r(-8)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22828840 greater than -22828839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 88?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -298 + 314. Sort 1\/8, z, -0.2, -4 in ascending order.\nAnswer: -4, -0.2, 1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.161? (a) -6\/13 (b) 0.2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4)*r*r)\/(r**(-3\/4)\/r))**(-7\/3)*r**(1\/4)*r\/r**3*r\/(r*r**(-1\/2))*r**(-2\/15) assuming r is positive.\nAnswer: r**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 31. Let d be v(12). Is -12 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113312212 - -33?\nAnswer: -1113312113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/70 + (-4)\/10. Let w be 8\/(-2 - -66)*-4. Put 1\/8, u, w in descending order.\nAnswer: 1\/8, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9760 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/98*21\/(-6))\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*g - 4 = 0, -g - 1 = -2. Suppose -l - o = 2*j, 0*l = -2*l - j - 14. What is the remainder when 27 is divided by 5 + l - (2 + 20)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + -3)**2 + (sqrt(24)\/sqrt(8)*-4)**2 + (6*(sqrt(432) + (sqrt(432) - -3*sqrt(432))))\/sqrt(9).\nAnswer: 67 + 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2073269 is divided by 691074?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (0 - (-42)\/6). Let s(k) = 40*k**2 - 14*k + 5. Is s(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*r + 60 = 0, -2*m + 2*r - 117 = -21. Sort -27, m, 0 in increasing order.\nAnswer: m, -27, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**0*c*c)*c**16)\/(c*c\/((c\/(c**2*c))\/c)*c**(-9)))**(-2\/75))**(1\/58) assuming c is positive.\nAnswer: c**(-6\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2652 in -0.23, -7\/2, -0.1?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q)*(0 - 3 - 3 + 2*q**2).\nAnswer: -4*q**3 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 2\/3, 0.10914, -8, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67354.06cm in meters?\nAnswer: 673.5406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 4*x + 5*y - 0, -y + 15 = -5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.31 in -6\/5, -0.04, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478739997.\nAnswer: 3, 2287, 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24214 - 22?\nAnswer: 24142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1664 divided by -104.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x**3 - 3*x**2 + 8*x + 3. Give o(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d0 + dd?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 0, 14.5, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50432 take away -18720?\nAnswer: -31712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 15 = -5*a, -2*a = 5*v + 8 - 2. Suppose 3*d - 6*d + 255 = v. What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - o - 10 = 0, 35 = -4*f - 2278*o + 2279*o for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.5. Which is smaller: 4\/33 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmp when three letters picked without replacement from mmmpmpppppppppmp?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 8. Let a be b(10). Suppose -q + 3*q = a. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 11cb?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q + 130 = 0. Let i = q + -66. Let u = 19 - i. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l + 82 = 0. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0 - -2) + 2 - -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*k + 5*k - 42*k)*((1 - 3 + 0)*(k - k + k**2) - k**2 - 3*k**2 + 5*k**2 - 3*k**2 - 2*k**2 + 3*k**2 + k**2 + 2*k**2 - k**2).\nAnswer: 46*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**2 + 5*v - 7. Let c(x) = -x. Let a be c(5). Let k = -35 + 58. Calculate the remainder when q(a) is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 34*u**2 - 32*u - 36. Determine a(33).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:35 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/17 - 187446*a**2\/17 - 374898*a\/17 - 187450\/17.\nAnswer: 2*(a - 93725)*(a + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12049515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.4 and 32099671466.\nAnswer: 32099671464.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34005468 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 0.2, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1785 - -366. What are the prime factors of l?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 41320?\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c - 6. Let h be (1\/2*c)\/((-6)\/(-26)). Suppose -h*b + 176 = -2*b. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/18563 and 58\/1881.\nAnswer: 1837737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = -12 + 52 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3 + 74213904*j**2 - 87609531*j + 2 wrt j?\nAnswer: 6*j + 148427808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 0.04 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 126, 0, -5774?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/186402 and -46\/987.\nAnswer: 1304814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:20 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807780408 a multiple of 2923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cycccycqcqc. Give prob of sequence cycc.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 60 + 144075461\nAnswer: 144075521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0139 take away -2?\nAnswer: 3.0139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**3 - 11*i - 4242. Let c(s) = -3*s**2 - 52. Give c(t(f)).\nAnswer: -27*f**4 - 198*f**2 - 415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*r - 16 = -0*n, -n = 4*r - 20. Suppose -d - 6 = -n*d. Factor 12*j**d + 3*j**2 + 3*j**3 + 4*j**3 + 3*j**4 + 6*j + 5*j**3.\nAnswer: 3*j*(j + 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*-2*2\/(-4). Let x = -3 - q. Suppose 4*v - x*p - 7 = -1, 3 = p. Solve -v*s = 2*s - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/2))**(-4\/19))**(-14\/11) assuming s is positive.\nAnswer: s**(-140\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/8)\/((-5)\/160*-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 10*v + 0 + 1\/4*v**4 + 11\/4*v**3 + 19\/2*v**2 = 0.\nAnswer: -5, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 66 + -5543543?\nAnswer: -5543444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 6*f - 12. Let c be k(10). Let t = c + 108. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3557\/30514 + 489\/1606. Find k, given that t + 98\/19*k**2 + 56\/19*k = 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -54750.\nAnswer: -2\/27375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6886, -13776, -20666, -27556, -34446?\nAnswer: -41336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose 2*n - 51 = -5*h, 0 = -5*h + 11 + 14. Suppose 9*l = n*l - 16. Solve -g*c = -5*i - 31, l*c - 27 = 5*i + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - g - 4. Let i be q(2). Factor -16\/13*d**i + 2\/13*d + 10\/13*d**3 + 4\/13.\nAnswer: 2*(d - 1)**2*(5*d + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 0 + (-8 - (-20 + 13)). Let j be 10\/(-2)*(-9)\/15. Suppose -40*i + 130 = 10. Solve n*p = j + i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 57*s + 2972. Calculate the remainder when 486 is divided by l(-49).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -90477 - -34?\nAnswer: -90443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.606 + 33.\nAnswer: 34.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**3 + 2*l**2 - l. Let v be j(1). Let k(b) = b + 12. Let p be k(-10). Let z(a) = 10*a - 2*a**p - 2 + 2*a**2 + a**3 - 13*a. Calculate z(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o + 12. Let n = -638 + 641. Let t(l) = -n*l - 4*l - 2*l - 3*l + 9*l. Give t(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 5*d = 45, 0*v + 5*d = -3*v - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30183 = 2*m - 86957. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-45)\/(-10) - 4)\/((-2)\/(-40)). Suppose 7*o = 2*o + 15. Let z = 3 + -3. Solve 8*s - o*s - i = z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16807634 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.7 - -11.7. What is the closest to -0.19 in 4, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1034140021442 - 0?\nAnswer: 1034140021442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 53*q**2 - 695*q + 4126. Calculate b(63).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2 - 0. Suppose 10 = 5*k + 5*c, -4*k - 5*c + 0 = -8. Let n(i) = 0*i**2 - k*i**2 - s*i + i. Let z(b) = -b**2 - b. Determine -2*n(d) + 3*z(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120510\/429 - 2\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-62)\/(-66) + (-24)\/(-396) - -65. Solve 257 + 139 = -t*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 12 = -3*m + 2*m, 0 = m - 5*s + 4. Is (-2)\/m + (80313\/8 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 - 71. Let f(q) be the third derivative of 0*q**3 + 7\/60*q**5 + 0 + q**2 + a*q + 0*q**4. Let n(m) = m**2. Give f(n(p)).\nAnswer: 7*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1348 - -1350. Which is the smallest value? (a) o (b) 0 (c) -5\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 19*p**2 + 50*p - 26. Let a be q(16). Let b(u) = 16*u - 94. Let j be b(a). What is the nearest to j in 1\/4, -0.1, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0.3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 99*r + 17 - 95*r - 5 - 5.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 13*d + 146. What is h(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3))**(-16)*(p**(-1)*p)**5 assuming p is positive.\nAnswer: p**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -19937?\nAnswer: 19937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 s when three letters picked without replacement from {k: 1, s: 2, z: 3, d: 4, o: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52845, 52843, 52841, 52839, 52837, 52835?\n\"Answer: -2*c + 52847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 1, g: 2, l: 1, u: 1, c: 1}. What is prob of sequence lg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**6\/15 + 86*g**5\/5 + 1393*g**4\/12 - 18*g - 47. Find the third derivative of u(l) wrt l.\nAnswer: -48*l + 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*n**3 + n**2 + 128 - 222*n**3 + 309*n**3 - n**2 wrt n.\nAnswer: -165*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**3 + 960*v**2 - 61440*v + 1310720 = 0 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 368005448 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2366312 and 52338?\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0) + (9 - 3). Suppose 0 = 2*y - a*h + 1245, -4*y = -3*h + 907 + 1598. What is y rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + 2)*5 + (sqrt(2736) + -1 + 0)**2 - (2 + sqrt(2736) + 4 + 1)**2.\nAnswer: -132*sqrt(19) - 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(4394\/(-8))\/1. Let s = -250 + d. Let b = -1188 - s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 11:02 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 554886842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i + 37 = 56*i + 5*q, 3*i = 2*q - 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k + 434 + 988 = 0. Are 83 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 4*v - 1. Let d(g) = 109*g**2 + 10*g + 2. Determine d(k) + 3*r(k).\nAnswer: 103*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 - ((27 - 17) + (10 - (-24 - 11)))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -8. Let f be 75\/(-10)*(-2)\/b. Solve -2*n - f*a = -12, 0 = 2*a + 1 - 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -353\/30 - -1\/10. Is i at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Suppose g = u - 1 + 2. Is (-5)\/((-2)\/(-38)*u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6958 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -21*k + 47. Let g be a(5). Let x = 42 - g. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*i = 45, 0 = -4*f - 0*i - 2*i + 66. Suppose 3*x = -f, 2075 = 4*v + v + 3*x. Suppose v = 3*c - c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 493 = -7*b. Which is smaller: -32 or b?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8322, -16648, -24980, -33324, -41686, -50072, -58488?\n\"Answer: -i**3 + 3*i**2 - 8328*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 n when three letters picked without replacement from {n: 2, j: 1, s: 2, p: 3, y: 3, u: 4}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**(-4\/17)\/(p**1*p)**(-44) assuming p is positive.\nAnswer: p**(1494\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2515190 by -11.\nAnswer: 2515190\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50*(-12)\/75*2\/(-48)*-111.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/866 (b) -2 (c) -5 (d) 2\/37 (e) 32\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + 15\/(-10). Suppose n*q + 2*q - 44 = 0. Suppose l + 4*k = 38, -4*k + k = -5*l + 98. What is the lowest common multiple of l and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/((4\/16)\/((-2)\/(-8))). Let n = -2 - w. Solve 0 = -n*l + 10 + 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4475002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**(-2\/31))**(-44)\/((h\/h**(-2))**4\/(h*h**1\/h*h)**(-36)) assuming h is positive.\nAnswer: h**(-18404\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 490 - 473 - 18*w + 963.\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718176 is divided by 239379.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -154, -339, -598, -931?\n\"Answer: -37*y**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 93\/365 + -4\/73. Which is the biggest value? (a) -1\/6 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157 - -159.13. Round v to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/375 - -784\/6375. Let u = 4.98 + 0.02. Let s = -725 + 722. What is the closest to -1 in t, s, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(1 - -2))\/(4\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjmmzjz. Give prob of picking 1 z and 2 j.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668667, 668344, 668021?\nAnswer: 667698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r**(-11))*(r*(r*r*r*(r\/(r**(-1\/10)\/r*r))\/r)\/r)\/r)\/(r**(-1\/3))**(-25\/6) assuming r is positive.\nAnswer: r**(437\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/9)*l*l\/l**(1\/6)*l)\/(l**(-5)\/l**(-1\/3)))\/((l**1)**(-45)\/(l**(-1)\/l*l)**(-5)) assuming l is positive.\nAnswer: l**(1033\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 z when three letters picked without replacement from zzzpzzzzpz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -26*c - 22. Let s(v) = -12*v - 9. Let b(m) = 7*s(m) - 3*t(m). Suppose -3*k - 7 = -40. Let h(n) = -30*n + 16. Let f(p) = k*b(p) - 2*h(p). Give f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(175)*-4) + -1.\nAnswer: -1 - sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okcn when four letters picked without replacement from {b: 1, n: 2, o: 3, c: 3, k: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-9*b - 9*b - 2*b).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -10, 2\/15, -6, -190\/29.\nAnswer: -10, -190\/29, -6, 2\/15, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 29607 * -4\nAnswer: -118428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8354 + 108604\/13. Which is the second biggest value? (a) -0.047 (b) -6 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 2\/35, -1, 0, 0.2, 2, 0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 7 + 2 - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*v, -2*d + 5*d + 5*v + 7 = 0. Let p be d\/(-2) + 517\/846. Determine g so that p*g**2 + 1\/3*g + 2\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*y - 3266 = -45*y + 46*y + 3346 for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2053*1.7\nAnswer: 3490.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -10. Let p(m) = m**3 + 7*m**2 + 7. Calculate the smallest common multiple of p(a) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32.64 and 0.03.\nAnswer: 32.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2 - 5*x**3 + 0*x**2 + 8*x**3 - 3*x**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.108960633 and -7.\nAnswer: -6.891039367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16743 (base 11) to base 4.\nAnswer: 11233201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 26*y**2 + 17*y**2 - 2 - 42*y**2 to i*y + l + d*y**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -90936 divided by 11367\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14*696\nAnswer: 9744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -8*g - 499. Let k = g - -53. What is the tens digit of k*-7*(-7)\/(98\/276)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(2\/21)\/d)*d)\/d*d\/d**(-8)*(d*d\/(d\/d**0))**(-1\/15))**(13\/3) assuming d is positive.\nAnswer: d**(14794\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1066 + -614. Let l = c + -3158\/7. Determine a, given that -20\/7*a - 16\/7 + l*a**2 = 0.\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 - 7*z - 6. Let o be v(6). Let i = o - -237. What is the highest common divisor of i and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -24*o. Let g be t(2). Let p be (1\/(-2))\/(4\/g). Suppose -f - 8 = -5*v - 0*f, 2*f = -v + p. Is v at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1244*a**2 + a. Let g(d) = d. Give g(r(k)).\nAnswer: 1244*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2982*l - 108 + 24 = 2970*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/84*((-16)\/(-580))\/1.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -495, -493, -491, -489, -487, -485?\n\"Answer: 2*k - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*(2*sqrt(304)*4 - (sqrt(304) - (-2 + sqrt(304)))*-3) + 4))**2 + 3.\nAnswer: 67584*sqrt(19) + 2809411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 5*a**2 - 4*a - 4. Suppose -6 = -t - 2. What is i(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let y = 8 + 13. Let f = y - w. What is the remainder when 64 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 6:14 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26249, 52375, 78511, 104663, 130837?\nAnswer: 157039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15085254 is divided by 17007?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/9 - 10*j\/9 + 8 = 0. What is j?\nAnswer: -9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 12 = -f - 10*v, 0 = 4*v - 12. Let z = 1673 + -1372. Let r = z - 302. What is the second biggest value in f, 0.28, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**4\/4 + 4*y**3\/3 - y**2\/2 - 3181. What is j(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3024810 and 783?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 5*j + 5. Suppose -2 = -4*d + 2. Let p(t) = t**2 - t - 1. Let z(r) = d*f(r) + 5*p(r). Let o(y) = y**2 - y. Calculate 10*o(q) - z(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38946 is divided by 177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159 - -153. Let b(n) = -10*n**3 - 3*n**2 - 6*n - 7. Is b(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8268b (base 15) to base 3.\nAnswer: -202222211212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12)*(-1)\/3*3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010110000 - -10?\nAnswer: -10011010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -21*f + 11. Let x(g) be the second derivative of -7*g**3\/3 + 7*g**2\/2 - 6*g. Let w = -773 - -765. Give w*x(i) + 5*m(i).\nAnswer: 7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 1\/56*p**8 + 0 + 0*p**5 - 1\/12*p**4 + 0*p**2 - 2*p + 0*p**7 + 0*p**3 + 0*p**6. Find the third derivative of g(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3687 greater than or equal to -2873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -229b2 (base 14) in base 12?\nAnswer: -40900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r - 3. Let i be y(2). Put i, -4, -1 in decreasing order.\nAnswer: i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*3\/(-6))\/(16\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3278 (base 14) to base 9.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8637 rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6721703 (base 8) to base 9\nAnswer: -3360681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 4. Let z be y(5). Let r(b) = -b**2 + 11*b + 7. Let o be r(z). Let c = -2 + o. Calculate the greatest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20115.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 98 - 93 + 0*f. Give d(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64a (base 14) to base 5\nAnswer: -14432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p = -12. Suppose -2*q - 5*o = -23, p*q - 28 = -4*o - 0. Solve 5*m - q*m + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 1, e: 1, j: 3, q: 11}. What is prob of sequence eqj?\nAnswer: 11\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*n - 16699384, -6*x + 2*x = n - 66797536. Suppose 56699998 = -3*s + p, 2*s + x + 21100612 = 2*p. Round s to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + 1160\/(-72))*3\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 4*w + 3*w - 22, 10 = 67*w - 62*w for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 q, 1 w, and 1 o when four letters picked without replacement from {w: 2, o: 1, q: 1, v: 5, x: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(7 + 46\/(-6)) - 9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*(k\/(k**0\/k*k))\/k))\/k)**(-36))**(-4\/11)\/(((k*k**(-2))\/(k**8*k))\/(k**(-2))**(-49)) assuming k is positive.\nAnswer: k**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 12*a**3 - 306*a**2 + 26250*a + 110092. Let d(q) = -11*q**3 + 308*q**2 - 26248*q - 110104. Let m(p) = 11*d(p) + 10*u(p). Solve m(v) = 0.\nAnswer: -4, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 - -4) + (-28 - -28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14309 - 9897. List the prime factors of t.\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.6 - -9.8. Suppose -2*m + 4 = 0, 3*m - 11 = j - 2*m. Which is the nearest to j? (a) -1\/13 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 31. Let r = x + 705. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 285366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -0. Suppose 0 = -6*m + t*m. Suppose m = -2*s + 2 + 2. Solve 5*l = -2*n + 10, n + s = 4*l - 3*l for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v - 299. Calculate g(-34).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1882430989?\nAnswer: 1882430989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2907, -5813, -8715, -11613?\n\"Answer: 2*h**2 - 2912*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 4)\/((-206)\/103)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19775*u**3 - 9883*u**3 - 9890*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**2. Let l be (2 - 4\/2)\/(-1). Let b(s) = s**2 + 18*s + l*s**2 - 18*s. Determine u(b(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -r + 4*r + 732, -2*q - r + 376 = 0. What is the remainder when q is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from {w: 6, k: 1, j: 7, m: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w - 72*w + 45*w - 85*w.\nAnswer: -99*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 8*z**2 + 34*z - 146. Give c(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(0 - 2))\/(-1). Suppose 0 = m*n + n. Suppose 3*v - 10 - 2 = n. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + t + 1. Let w(h) = 41*h**3 + h**2 - 5*h - 5. Let c(j) = w(j) + 5*y(j). Suppose -m - 1 = -2. Is c(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741269 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 14*j - 227. Determine a(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34015 (base 6) in base 7?\nAnswer: 16613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Suppose -18 = -4*p + w. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04153 or 0.1?\nAnswer: 0.04153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from wbbwjwwwitiwtiibwbwj.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 2*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4281.\nAnswer: 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 10660 = -y, 4*x - 10644 = 10*y - 5*y. Suppose 6*o - x = 1888. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**3 - 4*z**2 - 3*z + 10. Let g be b(3). What is the greatest common factor of 437 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-168))\/(915\/3843).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {e: 1, x: 1, g: 1, n: 1, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2195 = -4*i, -13*b + 12*b + 410 = -5*i. List the prime factors of b.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31504 by 15752.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**2 - 3088*n + 344916 = 0.\nAnswer: -871, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - (18 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 168.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*u - 219*u = 100 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 11\/165730 (c) 2 (d) -5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from gswiusrgi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + n**2 - 2*n - 2. Let v be u(-1). Suppose -a + 2*d + 43 = 4*d, -v*a = 5*d - 84. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9 + -3.872. Let t = z - 0.528. Put -2\/5, t, -2\/3, 1 in increasing order.\nAnswer: -2\/3, t, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*o + 83*o + 5*w + 90, 8*o - 109 = w for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39560035*c*o**2 - 30*c*o - 41694*c wrt o.\nAnswer: 79120070*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/61, -0.15, 31 in ascending order.\nAnswer: -0.15, 1\/61, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jux when three letters picked without replacement from {u: 1, j: 3, x: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 94, 112, 136, 166, 202, 244?\n\"Answer: 3*w**2 + 9*w + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -950 - -950.3. What is the smallest value in f, 2\/29, -2, -2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8bb + 26?\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqgvgkgvkq. Give prob of sequence kkvv.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-578)\/8*-4 + 0\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u\/u**(8\/5))\/u))\/u)**(-9))**(-23\/2))**(-2\/89) assuming u is positive.\nAnswer: u**(-1656\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16342?\nAnswer: 2, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*l**2 - 53*l**2 + 26*l**2 - 18*l - 16*l**4 wrt l?\nAnswer: -192*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*i - 192 = -187*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 12 = -u. Factor -2 - 3*k**u - 48*k**3 + 3*k**3 - 18*k**4 - 16*k - 44*k**2.\nAnswer: -2*(k + 1)**2*(3*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -30, -1 in decreasing order.\nAnswer: -1, -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3520 - 3383. What is the third smallest value in u, -3\/4, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, k: 3, g: 4}. What is prob of sequence gw?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16d0701 + -3?\nAnswer: -16d0704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/26*((-2)\/(-4))\/((-117)\/2).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/8 - 26317231*g\/4 + 692596647507361\/8.\nAnswer: (g - 26317231)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = 2*t - 9*t. Let m = t - 11. What is x in -3\/5*x**m + 0*x**2 + 0*x + 0*x**4 + 0 + 3\/5*x**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 497 + -422. Suppose o*z - 71*z = 1764. Does 63 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 21 = 4*n. Let m(x) be the third derivative of x**5\/60 - 17*x**4\/24 - 7*x**3\/3 - 251*x**2. Does 5 divide m(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 11:12 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1872 and -47\/13884.\nAnswer: 166608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2485425.\nAnswer: 3, 5, 31, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + w**2 - 3 - 2*w**3 + 23*w**4 + 6 in the form f*w**2 + o*w**4 + l + v*w + k*w**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 46. Let b = f + -27.4. Let c = b + 0.4. Is -2\/5 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29341 and 11544?\nAnswer: 704184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 8*j - 2 + 3)*(-4 + 16 - 59) in the form z*j + u and give z.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(128) + 1*sqrt(128)) + sqrt(128) - ((-5 + sqrt(128)*1 - sqrt(128)) + sqrt(128)))**2.\nAnswer: -960*sqrt(2) + 18457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 501\/107 - -308763\/214. Suppose 3*q + 5 = -2*q, 5*u = 4*q + 7064. Let v = f - u. Find the common denominator of v and -145\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5264, 0 in descending order.\nAnswer: 0, -5, -5264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -2)*35\/(-28). Suppose j = c*f - 9*f + 7172, -2*f - 2*j + 3586 = 0. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/9)\/(7182\/855).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**6\/60 - n**5\/10 - n**4\/8 - 5*n**3\/3 + 9*n**2. Let c be f(-4). Calculate the highest common divisor of 68 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -682*f*j*s**2 + f*j + 52*f*s**2 + 58*s**2 with respect to j.\nAnswer: -682*f*s**2 + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61881\/10 - -6181. Calculate the common denominator of w and -3*(-4)\/12 - 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 500\/3*l**2 + 0 + 35*l**4 + 32*l + 232*l**3 - 25\/3*l**5 = 0.\nAnswer: -3, -2\/5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -525*o + 2 - 1 + 524*o. Let l(w) = -2*w**2 - 8*w + 8. Determine -l(k) + 10*y(k).\nAnswer: 2*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - u = 4*u - 55, 3*u - 21 = q. Let z = q + 14. Suppose 43 + z = 3*w + l, l = -w + 15. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00183611 rounded to 5 dps?\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450528369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 304, 1062, 2540, 4978, 8616?\n\"Answer: 40*q**3 - 2*q - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -24, -17, 8, 57, 136?\n\"Answer: k**3 - 12*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 9) in base 10?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22 - -6.22. Let n = 5.8 - q. Let x = 7 + -7.3. Which is the biggest value? (a) x (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 3*m - 5. Let g be f(0). Sort -2, g, 2, 1 in decreasing order.\nAnswer: 2, 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100001100010000101001?\nAnswer: -100001100010000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-5 + 32 + -20 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-22))\/((-11)\/(-2))*4\/4.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in centimeters?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -1\/4, 5, 10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/99 and ((17856\/264)\/(-31))\/(1\/(-2)*99)?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2526 and 131\/1840.\nAnswer: 2323920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5715*c**2 - 65*c - 26. Let m(q) = 2857*q**2 - 30*q - 12. Give -6*a(w) + 13*m(w).\nAnswer: 2851*w**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -155, 0.2, -491\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + t**2 + 3*t - 3*t + 6*t in the form d*t**2 + i + s*t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 43067, 43070, 43073, 43076?\n\"Answer: 3*u + 43064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:45 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1776967628 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 22*v - 69. Let q be h(3). Suppose -3*g + 1059 = 3*m, 3*g - 9*m = -q*m + 1065. List the prime factors of g.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -216, -485, -862, -1347?\nAnswer: -1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2483768 by -10436.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 572616.6 rounded to the nearest one thousand?\nAnswer: 573000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1081 and 1081.\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.7956 tonnes in micrograms?\nAnswer: 674795600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(3200)*2*-3.\nAnswer: 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830223087.\nAnswer: 7, 11, 23769131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4273, -4426, -4671, -5008?\nAnswer: -5437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 10*v = -5*g - 10, -3*v = 6*g - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6) - 2*sqrt(6)) + 2*sqrt(1539) - (1 + sqrt(19) + 4 + 2).\nAnswer: -7 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4869, 17883, 39565, 69909, 108909?\nAnswer: 156559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2189697.58 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 11:53 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - z = -1576 - 3074, 18585 = 4*g - z. List the prime factors of g.\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/17, -1, -11\/14, -2, -1\/4 in decreasing order.\nAnswer: -1\/4, -6\/17, -11\/14, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 131 divided by 8\nAnswer: 131\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 20 = -2*m - 8*r, 2*m - 2*r - 6 = 0. Suppose -m*g + 103 = -3*x, -x = -2*g - 0*g + 41. Calculate the least common multiple of g and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w + 2. Suppose -22 = -4*q - 2*p, 25 = 4*q + p + 4*p. Let j(i) = -9*i + 5. Let k(s) = q*b(s) - 2*j(s). Let r(g) = 2*g**2. What is r(k(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23816 is divided by 7919.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(49) + -4*sqrt(441))\/sqrt(7).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (18\/27)\/(1\/3). Suppose 0 = -o, 0*a + 4*o = -a + h. Solve -3*v + 4*g - 16 = 0, -a*v + 5*v - g = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j = -43*j + 36 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -492 or -486?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2974*w**2 + 12*w + 1. Let h be g(1). Put -4, h, 2 in increasing order.\nAnswer: h, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*2*2)\/(sqrt(9) + sqrt(36)*3).\nAnswer: 4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t + 26. Let d(s) = 3*s + 44. Let b be d(t). Suppose 4*x + 147 = b*f, 0 - 2 = -x. Calculate the remainder when 120 is divided by f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-8) - -2 - 1. Let t = 1.14 - 0.14. Put -5\/4, t, m in decreasing order.\nAnswer: t, m, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 3:49 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12002 - 12903. Is -898 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/60 + m**4\/24 + 5*m**3\/6 + 2*m**2. Let i be -1*7 - (-3 - -2). Is v(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 310431, 310409, 310397, 310401, 310427, 310481, 310569, 310697?\n\"Answer: y**3 - y**2 - 26*y + 310457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/112 - 1\/(-4). Let q = -6.481 - -6.781. Which is the nearest to 2? (a) 2 (b) 0.4 (c) n (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 540?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*d*l*t**3 + 2*d*l*t**2 - 3085*d*t**3 + 5*d*t**2 + 2*d + 8*l*t**3 - 3*l*t - 200322*l + t**3 wrt t?\nAnswer: -234*d*l - 18510*d + 48*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1965173, -3930275, -5895377?\n\"Answer: -1965102*n - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = y - 2896. Let p be y\/60*(-3)\/(-4). Let g = 44\/5 + p. Put g, -5, -3 in descending order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19703, 39415, 59127, 78839, 98551?\n\"Answer: 19712*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 1\/409, 0, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 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: In base 9, what is -24 - 113?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 3971 and 3955 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 19*g**2 - 2*g - 35. Let x be i(-19). Suppose -108 = -9*j + x*j. Is j at most 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235514531 (base 6) in base 8?\nAnswer: -21041327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 - 35. What is the greatest common factor of 10 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40150 and 250?\nAnswer: 200750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t. Let f be p(-1). Let j be -33*((-1426)\/5115 + 16\/(-60)). Solve 2*k + j = f*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -279341, -5, 0 in decreasing order.\nAnswer: 14, 4, 0, -5, -279341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(40)\/sqrt(8)*5).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**16\/u*u**19)**(-29\/3) assuming u is positive.\nAnswer: u**(-986\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126400 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00083714148 to five dps.\nAnswer: -0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10626 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/36 and -7\/57.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 + -20934?\nAnswer: -20980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47725.4 rounded to the nearest 100?\nAnswer: 47700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -100001011001?\nAnswer: 100001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g + 1. Let o be z(1). Let q be (o\/(-27) + 0)*3. Suppose 4*n - 6*t + 3*t + 17 = 0, 3*t + 23 = -4*n. What is the nearest to q in -0.2, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90, -165, -244, -327, -414, -505?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 29. Let h = -8 - u. Suppose -3 = -5*v + 4*i, 0 = -v - i + 3*i - h. Solve -5*s = -c + 8, 5*s - 1 = v*c - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054705784 rounded to 6 decimal places?\nAnswer: -0.000547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/(-252))\/((-4)\/18)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17204953393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -24614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 10:04 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyz when three letters picked without replacement from {y: 7, z: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 645, 958, 1263?\nAnswer: 1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 1 = -s + 2*o, 4*s + 3*o = 7. Suppose -s*g + 2 = -14. Suppose -1 = -z + g. Solve -u - 3*u + 4*t = 0, 2*t - z = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10092170?\nAnswer: 2, 5, 11, 23, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042550517 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5 = 2*l, 503*s - 499*s + 6*l = 26 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:10 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -57*t + 33. Let k(i) = -85*i + 49. Let x be (-5)\/((-3 - 1) + 3). Let r(g) = x*k(g) - 7*c(g). What is the first derivative of r(v) wrt v?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, k: 1, l: 6, s: 6}. Give prob of picking 1 l, 1 k, and 1 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 650 and 312?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**3 - 1 - 33*f**4 + 7*f**3 + 12*f**4 + (26 + 5*f - 26)*(-5*f**3 - 2*f**3 + 4*f**3).\nAnswer: -36*f**4 + 2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-63) - 64\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 13*h. Let a(q) = -92076455*q**2. Calculate y(a(s)).\nAnswer: -1196993915*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*j**2 - 65*j**2 - j - 11*j**2 + j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -5\/2*b**2 + 13 + 0*b. Let j(t) = -7*t**2. Give m(j(z)).\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-22))\/((-738)\/1804). Let k be (13\/(-3) - -4)*1. Put -3\/5, k, 0.5, f in decreasing order.\nAnswer: f, 0.5, k, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56524 = -12*d + 48128. List the prime factors of d.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/550 + 13336\/825. What is the common denominator of -16\/11 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307971 is divided by 1866?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30025 (base 6) to base 3.\nAnswer: -12100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Factor 2 - 2*j + 2*j + j - i*j**2 + 2*j**3 - 3*j.\nAnswer: 2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssrrrosoxr. Give prob of sequence rroo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77 - 106*m**2 - 40 + 103*m - 37 wrt m?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -73. Let h = 0.1 - 0. Which is the closest to -2? (a) h (b) y (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17543*g + 2087*g + 839*g - 2009*g.\nAnswer: -16626*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 + 4*p**3 - p**3)*(3 - 6 + 2 - 3 + 1 + 1 + (4 - 6 + 3)*(-1 + 4 - 5) + 10 - 5 + 1).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 91245332?\nAnswer: 3\/91245332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*t - 532 = 0, -43*t + 9 = -46*t. Solve -511*r = -n*r + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:09 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, h: 1, b: 2, w: 1, m: 1, q: 1}. What is prob of sequence wvhq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -14. Suppose -60 = 3*r - 7*r. What is the remainder when w is divided by 28\/6 - r\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Which is the closest to y? (a) -0.5 (b) 1\/12 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68485604527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:57 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*j = j - 174, -3*c - 114 = 3*j. Calculate the remainder when 53 is divided by 128\/9 - (-8)\/c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -77*o**2 + 17*o - 1736. Let m(j) = -29*j**2 + 6*j - 579. What is -8*m(n) + 3*t(n)?\nAnswer: n**2 + 3*n - 576","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5501530 (base 7) in base 10?\nAnswer: -672889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13470 - 13329. Calculate the highest common divisor of 13066 and i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 853664 divided by 148.\nAnswer: 5768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*p - 12 = 0, 0*p = -v + 4*p - 14. Let m(u) = u**3 + 1 - 7*u**v + 2*u**2 + 2 - 1 - 7*u. Determine m(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 1:08 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b + 160 = 0. Let a = 11 + b. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 - -287\/3. What is the common denominator of k and 5*2 + 8549\/(-996)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 56 - k**2 - 7 + 2*k - 47. Suppose -3*o - 37 = -2*s, 4*o + 2 + 9 = -5*s. Let f = 5 + o. Calculate z(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-88) + 5372\/22. Suppose 4*l - t = 3*n, -n - 8 = -3*n. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by (212\/6)\/(110\/165)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, -0.1, -1671?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/7*g**2 + 1\/7*g**3 + 4\/7 + 0*g.\nAnswer: (g - 2)**2*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -22.9. Let a = s + 0.100876. Round a to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -575370 - -1?\nAnswer: -57536a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let f be (-1 - 2\/((-40)\/28))*5. Let v(u) = 184*u**2 - 81*u**f - 91*u**2. What is v(g(z))?\nAnswer: 48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00507 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j + 16. Let s be v(2). Suppose 4*u = -u + o + 21, s*u - 5*o = 0. Solve 2*n + 3*n = -w + 15, -u*w + 5*n - 45 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -115 + (81 - -70) + 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 40*t - 37. Calculate i(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x*x\/(x**8\/x)))\/(x*x**(-13)*x))\/(x**(-8)*x*x\/(x*x**(3\/4))*x))**18)**(-2\/33) assuming x is positive.\nAnswer: x**(-273\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-36) - 30\/(-8). Suppose 5*i + 4*x - x - 37 = 0, 0 = -d*i + 3*x + 8. Suppose 3*b + 0*b - 2*h = 54, -90 = -i*b - 2*h. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105901, -105896, -105891, -105886?\n\"Answer: 5*h - 105906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 740.6 + -765.6. Let t = 0.6 + -0.4. Which is the nearest to 1? (a) q (b) 2\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6573*k. Let u(t) = -2*t**2 + 61. Give u(s(c)).\nAnswer: -86408658*c**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -278*h + 280*h - 2*l - 4, 5*h + 3*l - 34 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44183 and 1196.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -5*k - 24. Let i be (-2 - 9\/(-6))*7\/k. Which is the biggest value? (a) -0.17 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186808 or -186806?\nAnswer: -186806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -328, -1139, -1966, -2815, -3692, -4603?\n\"Answer: -k**3 - 2*k**2 - 798*k + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + 8112\/117 + 672\/9.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 168?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/108 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + v**2)*(-v**3 + 0*v + 0*v) - 135*v**4 - 16*v**5 + 135*v**4.\nAnswer: -17*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*f - 147 = -16, -3*k - 2*f = -413. What is the remainder when k is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f - f)*(5716 - 7291 + 6188) in the form l*f + q and give l.\nAnswer: -4613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 16*j - 94. Solve 0*g + g = 2*d + 5, -j*g + 25 = 2*d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 55199*j**3 + 4*j**2 + 4*j + 5. Let y(z) = -2*z + 33. Let p be y(14). Let v be f(p). What is v rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0*k)*(4 - 2 - 3)*(3 + 0 - 1)*(-k**3 - 3*k**2 + 3*k**2).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1155\/2, -1\/4, -2, 8043, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147018*t**3 - 1417*t**2 + 420*t - 276957.\nAnswer: 882108*t - 2834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-598)\/(-520) - (-3)\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -20 + 68. Let v = -6 - f. Let x(c) = c**3 - 6*c**2 + 3*c + 2. Is 8 a factor of x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/41711 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*o + 316554 = 198*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3337.9536 rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -4. What is the remainder when 8\/(-44) + 136\/22 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 c when four letters picked without replacement from acbcbbabbcccbcbacca.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l - 10863 = -45*l. Calculate the greatest common divisor of l and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:38 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 1, j: 4, e: 3}. Give prob of picking 1 w and 1 j.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 + -4.1. What is the nearest to 1 in -0.3, u, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 27. Let c(w) = -w**2 + 6*w + 9. Let v be c(7). Suppose -v*g + 5*g - 2*s = 15, -5*g - 5*s = d. What is the greatest common divisor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -11)\/((-2)\/(-40000)). What is p rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) -208 (c) -1\/572 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*i + 9*i + 8, 0 = c - i - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 6:26 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 - 115. Let i = j - 31.99894. What is i rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/180 and 157\/3559320?\nAnswer: 3559320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 9*w**2 - 9*w + 13. Let t be n(-10). Differentiate 2 + 2*r - t*r**4 + r - 3*r with respect to r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4389*b**2 + 2*b + 8. Let k be f(-6). Round k to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568871 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - g + 6*g**2 - 12*g**2 + 2*g**2 - 22 to b + m*g**2 + w*g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97139*p = 97151*p - 264 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 17, k: 1}. What is prob of picking 4 h?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/151457592 and 89\/50485864.\nAnswer: 151457592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 17 = -0*s - s, -5*d - 2*s + 21 = 0. What is the remainder when (-639)\/(-27) + 4\/(-6) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nok when three letters picked without replacement from {k: 1, y: 11, n: 1, o: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:12 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 3*v**4 + 6*v**4 + (6*v + 3*v - 3*v)*(3 - 3 + v**3) + (-2*v - 4*v + 3*v)*(5*v**3 + 0*v**3 - 4*v**3) + 0*v**4 - 2*v**4 + 6*v**4.\nAnswer: 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1817789732.\nAnswer: 2, 11, 103, 401101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*f**2*s**2*v + 2*f**2*s*v - 2775*f**2*v + 14*f*s**2*v - 3*f*s - 5*s**2*v wrt s.\nAnswer: -18*f**2*v + 28*f*v - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10 and -3\/303328.\nAnswer: 1516640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*((-3*n - n + 2*n)*(-4 + 1 + 5) - 2*n + 2*n - 3*n)*(16*n - 40*n**3 - 16*n).\nAnswer: 560*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, 1.16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5650 and 14750?\nAnswer: 1666750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4730646, -4731038, -4731432, -4731828, -4732226, -4732626?\nAnswer: -4733028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 4*j = -4*u + 32, 2*u = -j - 35. Let t be ((-9)\/24)\/(u\/(-12)). Which is the closest to t? (a) -0.06 (b) -3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18938.5 and 5?\nAnswer: -94692.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/3 + 725416*w\/3 + 65778546632\/3 = 0 for w.\nAnswer: -181354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57.979 + -58. Let v = 0.0237 + j. What is v rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**4\/24 + 71*r**3\/6 - 141*r**2\/4 + 520*r + 1. Let t(k) = 0. What is k?\nAnswer: 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 3 - -16) + 2 - 12 - (1 - -23)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*q - 28*q - 3*i + 2, 29 = -5*q - 4*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 687*o**5\/20 - o**4\/4 - 5*o**3\/6 - o**2 + 29*o. Is h(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446956.\nAnswer: 2, 7, 31, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (486\/(-810))\/((-39)\/10).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2911 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: Calculate prob of sequence aaa when three letters picked without replacement from {p: 2, a: 10, r: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0, -13 in decreasing order.\nAnswer: 4, 2, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9)*u**15*u)\/(u\/(u*u\/(u\/(u*(u**(1\/8)\/u*u*u)\/u))*u))**(-12) assuming u is positive.\nAnswer: u**(-163\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 8095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164806?\nAnswer: 2, 19, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -26. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274434 divided by -5178.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 34*c - 256. Give d(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**5 - 4584*d**4 + 1000290*d**3 + 1009464*d**2 - 1000293*d - 1004880 = 0.\nAnswer: -1, 1, 265, 1264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.52999256 rounded to 3 dps?\nAnswer: 3.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g + 6. Let t be 12\/(-8)*(-10)\/3. Let x(j) = -5 + 59*j - 32*j - 33*j. What is t*n(o) + 6*x(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/8*-65*38\/(-247)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 56. Solve -3*p - h = a, 2*h - 3 + 7 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose -3*v + 18 = -j. Suppose 0 = -v*g + 4*g + 2. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v = -27*v + 266 - 5 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*w - 16, 0 = -4*w - 2*z - 12 - 0. Put 0.4, 1\/3, w in increasing order.\nAnswer: w, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36480\/16769 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 8. Determine a(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 34*w + 1002. Let d be a(19). Sort d, 1, 2, -8, -4.\nAnswer: -8, d, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 82*t - 967. What is the remainder when 2239 is divided by w(-11)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -224 (c) 0.2 (d) -1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 239.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -132. Let g be 679 - (-15 + (16 - -18)). What is the highest common divisor of g and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11874 divided by -3958?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - (2 + -5 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -30*u + 9. Suppose 5*s - s - 32 = 0. Let d be n(s). Let v = d + 164. Round v to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -246*f - 363*f + 609 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7120000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11886132 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 25*s**2 - 27*s + 29. Let c be v(26). Suppose 4*r + 4*t = 1372, -91 - 610 = -2*r + c*t. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1248 divide 966590691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouubeeueuguuubengue. What is prob of sequence eg?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 36540. Let g = l + -102267\/14. What is the common denominator of 77\/8 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/12 and 14\/5392125.\nAnswer: 21568500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -268849\/16 + 16797. Calculate the common denominator of -1 - (-1 + (-35)\/16) and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0735 - 10.\nAnswer: -9.9265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26 - 1)*(-2 + 3). Suppose b = 4*w - b - 20, -4*b + d = 5*w. Is (-5 + 210)*2\/w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.66.\nAnswer: -0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -181 (base 13) to base 4\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 3*v = -o + 93, 2*o - 226 = 2*v. Let z = o + -209. Let d = 177 + z. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2 + -2 + sqrt(931) + (sqrt(931) - (2 + (sqrt(931) - (sqrt(931) + 3))))**2)*-5)*4 + 1.\nAnswer: -18643 - 420*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -129?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 4 = 0. Let k(r) = 3*r**2 + r**3 + 2*r - 2 - n*r - 5*r. Let a = 0 + -4. Determine k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29079491 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 68 - (357 - 397) - (-1 + 9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/125 (b) 0 (c) -0.1 (d) -0.4 (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 4*l + 29*l + 17 = 0 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 36.4 (b) 25 (c) -2 (d) 0.05 (e) 2\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/60 - c**4\/4 - c**3\/2 - 3*c**2. Let u be n(-5). Solve 5*k = 5*j + 25, -u*k + 4*k = -j + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27377, 54769, 82161, 109553, 136945?\nAnswer: 164337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1176*r - 563*r - 664*r.\nAnswer: -51*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1578 rounded to 1 decimal place?\nAnswer: -17.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 568618 and 22?\nAnswer: 6254798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 2*u + 3*u)*(1 - 2*u**4 - 1) + 2*u**2 - u**5 - 2*u**2 + 8*u**5 - 49*u**2 + 49*u**2.\nAnswer: 3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -f + 3*q + 12, -2*f - 11*q = -7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/152 and -111\/106970.\nAnswer: 427880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -924257*j + 924257*j + 118*j**3.\nAnswer: 118*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13.8 (b) 3\/14 (c) 2 (d) 0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 55 = 8*g. Let z(q) be the second derivative of -q**4\/3 + q**3\/6 - q**2 + 3*q. Let x(m) = 21*m**2 - 5*m + 11. What is g*z(v) - 2*x(v)?\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 172 = 2*o - o, -x = -2*o + 91. Let g = -22 - x. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.44\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*p**3 + 78 - 78 + (p - 3*p + p)*(-2*p**2 - 1 + 1 + (-4*p + 4*p + p)*(-p + 3*p + 0*p) - 2*p + 2*p**2 + 2*p + 0*p - p**2 + 0*p).\nAnswer: -75*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*j - 13, 0 = 4*w - 5*w + 2*j - 1. Let x = -7 + 13. Let b = 7 + x. Calculate the remainder when b is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 198.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.49611 to one dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-3)\/((-24)\/(-19)). Suppose 0 = -n - 0*n. Let u be n + 1*(-2)\/22. What is the third smallest value in 1\/4, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 5*b**4\/24 + 2*b**3\/3 + b**2 - 2. Let a(z) be the second derivative of v(z). Is a(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/12)\/((-4)\/(-16)). Let o be 3\/((-30)\/(-34)) + -3. What is the nearest to o in t, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004538259503 to five dps.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 1553552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10973 = 2*c, -2*y + 4*c + 4391 = 3*c. Suppose -5*x + y = -3*t, 1243 + 505 = 4*x - 4*t. Is x a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 1035.\nAnswer: -8\/1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + 9 + -5 + 11. Let z(p) = -p + 22. Let h be z(l). Suppose 4 - h = -4*d. Solve -x + 4*m = -3*x - 8, d*m = -3*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.970412 to one decimal place.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35.1 - 22.3. Let o = -1888.985 - -1876. Let g = f + o. Round g to two dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -57 - (-1837 - -1774).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 4*n**3\/3 - 5*n**2 + 20*n - 32. Is i(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-63)*11151\/118.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*d - 415 = -0*d, 2*d + 89 = -j. Let w = j + 72. Is 73 - w - (3 - -2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(1 + sqrt(9072) + 5*(sqrt(9072) + -3) + sqrt(9072)))**2*-2.\nAnswer: -3557792 + 56448*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*a**3 - 257*a**2*k**3 + 2*a*k**3 - a*k**2 - 4156*k**3 - 2*k wrt a?\nAnswer: 348*a - 514*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/(-45) + 7 - 245\/225.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 11566 + 11629 + 4*h)*(3*h - h + 0*h) in the form i*h**2 + m*h + q and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - i - 4633 = 0, b = i - 211 + 1373. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blb when three letters picked without replacement from {i: 1, b: 1, l: 1, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1468765.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/3 of a day in minutes?\nAnswer: 28320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1754, -3496, -5236, -6974, -8710, -10444?\n\"Answer: l**2 - 1745*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 487404 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 20 = -2*v - 6*c, 24 = 2*v - 4*c. Factor -2\/5*z**v - 8\/5*z + 4\/5*z**3 + 6\/5*z**2 - 8\/5.\nAnswer: -2*(z - 2)**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/(5*(-3)\/(-30))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, x: 3, d: 4}. Give prob of sequence ddx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45802 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1986*a + 11 - 1993*a + 4 - 346*a**2 wrt a?\nAnswer: -692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-1)\/2 + 2. Suppose -4*i - 6 = 2. Let r be 48\/21 + i\/7. Solve 7*q = -5*y + w*q, -2*q + r = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -471 + 471 - 103*h**2 to the form v + q*h**2 + w*h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twtw when four letters picked without replacement from {t: 6, w: 13}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 308\/11101?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 208775 (b) 4 (c) -5 (d) 6 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:57 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 478249189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -789298?\nAnswer: -10260874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40001561?\nAnswer: 17, 151, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/360 + p**5\/40 - p**4\/4 - p**3\/6 + 2*p**2. Let z(r) be the first derivative of v(r). Is z(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.68 - 0.24\nAnswer: 2.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5406947508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8\/47?\nAnswer: 8\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 188*o - 3390. What is n(19)?\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -19 + (0 - 2) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 18*p + 30. What is m(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + 2*g)*(4*g - 3*g - 2*g) - 4*g**2 - 3*g + 3*g + (-3*g + g**2 + 3*g)*(-3 - 3 + 7) + g**2 - 5 + 5 - 356*g + 335*g**2 + 356*g.\nAnswer: 334*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9832214, -9832217, -9832220?\nAnswer: -9832223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 3, 1\/51, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 64 - 1?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(220)\/sqrt(4))\/(3*sqrt(5)*3).\nAnswer: 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047498281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 140\/6 + 6\/9. Suppose d*z - 15 = 16*z. Suppose 5*q = z*q, -215 = -5*c + 4*q. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126908053145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjjvvmjmjjjmmv. Give prob of picking 2 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2412 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*sqrt(68) + (-5*(3 + sqrt(68)))**2.\nAnswer: 350*sqrt(17) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 336889.\nAnswer: 1684445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 788173, 1576348, 2364523, 3152698, 3940873, 4729048?\nAnswer: 5517223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*g - 840 + 207 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6223933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 a when three letters picked without replacement from cxsxaeceececaeb.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5 - 514*n + 12 + 516*n. Let a(v) = v. Calculate p(a(d)).\nAnswer: 2*d + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/63*(-52)\/((-11648)\/784)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 14, 1\/3, 229\/7 in descending order.\nAnswer: 229\/7, 18, 14, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -1. Let g(d) = -3*d**3 - 65*d**2 - 40*d + 39. Let q be g(-21). Sort 0, -11, q, a in increasing order.\nAnswer: -11, q, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*f - 46 = 0, -z + 5*f - 1 = 22. Let r be (9\/(-3))\/((-3)\/z). Let x = r + 4. Is -5 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40612 and 21538205.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 27064 - 3*b + 6*b + 27070. Determine k(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 56. Suppose -4*j = -9*j + f, -540 = -5*v - 4*j. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 6 = 0. Suppose 5*w = o*t + 7, 10*t - 2 = -4*w + 8*t. Is w smaller than -0.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 188 + -183. Sort -11, -3, f in decreasing order.\nAnswer: f, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d*y**4 + 2*d*y + 13658*y**4 - 23478*y**2 + y wrt y.\nAnswer: 144*d*y + 327792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90032.23 millennia to years.\nAnswer: 90032230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92804 is divided by 1307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-148)\/68 + 0 - -2. Which is bigger: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016994317 to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11544044?\nAnswer: 2, 2886011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-40)\/(-6)*1. Calculate the greatest common factor of f and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 24*x**2 - 144*x + 256.\nAnswer: -(x - 16)*(x - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 + -169. Let j be 32\/w - 2*(-3)\/27. Which is the third biggest value? (a) -2\/3 (b) 18\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + -112. Let z = j + 257. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*k = 16, 2*k = 4*w + 6*k - 20. Let c be (-37679)\/14 - 3\/w. Let u = c - -2689. Find the common denominator of 49\/16 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 96*m**3 + 4*m**2 + 13*m. Let q = 185 + -193. Let r be v(q). What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 9:00 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w + 7. Determine i(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 4. Let u be z(0). Let p be u*(2 + 1 + -8). Let h = p - 12. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28075005 divided by -4?\nAnswer: 28075005\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 j when three letters picked without replacement from {j: 2, z: 2, s: 1, p: 1, v: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m + 10 = 0. Let z be m + (-2 - 1) - -10. Suppose -v = 5*f + 8 + z, 0 = -v - 3*f - 9. Solve v*h + h = 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331695 by 110565.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267282?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1280*p**3 + 35*p**3 - 646*p**3)*(-4*p - 18*p - 2*p).\nAnswer: -16056*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17400\/9135*441\/45?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 87.258906 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28850*n**2 + 170 - 28840*n**2 + 57690*n**2 - 170 - 13*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2925 + 2924. Is k at least 8\/165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 1. Let l(f) = f. Determine l(n) + 2*w(n).\nAnswer: -2*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -7. Suppose k*r + 2*b = r - 18, 19 = -r - b. Let l = 64\/3 + r. Is l bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**2. Let u(f) = -41*f**2. Determine t(u(w)).\nAnswer: -15129*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/60)\/((-18)\/6). Which is the closest to -1? (a) -13 (b) q (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-130)\/(-25) + -5 + (-6982)\/10. Let t = f + 1653. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105.38 + 9.\nAnswer: 114.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 0.3, 0.1, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41, 55, 81, 125, 193?\n\"Answer: w**3 + 7*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (0 - -4) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u + 18*u - u**2 - 5*u - 5*u. Let f(n) = n**2 - 5*n. Let m(l) = -5*d(l) - 4*f(l). Let q(z) = 5*z**2. What is m(q(v))?\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 9406*o + 76*o**2 + 4 + 4*o**3 - 18832*o + 9428*o as h + u*o + b*o**3 + q*o**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4 + 627*w**3 + 12762*w**2 - 13392*w = 0.\nAnswer: -186, -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 145604697 and 5313?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, i: 6, u: 3, l: 2, d: 5}. Give prob of picking 2 u, 1 c, and 1 d.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672794?\nAnswer: 2, 336397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145.6 - 145.58. Which is the nearest to -2? (a) 2 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + z**3 + 3*z**3)*(-2*z**2 - z + z) + 15*z**3 - 15*z**3 - 2*z**5 + z**5 - 2*z + 2*z.\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -23720 to the nearest 100.\nAnswer: -23700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -23) + (2 - 8) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 594 = -5*k. What is the greatest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -1033?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 707 and 16927903?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 0, -8, 11 in increasing order.\nAnswer: -8, -5, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46580 times 0.3?\nAnswer: 13974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:01 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.854 plus 20669664?\nAnswer: 20669664.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/7 - 3*b\/7 + 16. Determine x so that v(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*-2*sqrt(190) - sqrt(190))\/sqrt(10) + 0)*-5)**2 - ((sqrt(190)\/sqrt(80))\/(3*sqrt(8)\/sqrt(4)) + 0))*1.\nAnswer: -sqrt(19)\/12 + 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from qqqqpppqqqpqqqppqq.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 5:47 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 17 - 46. Let i be (-2 + 22\/12)\/(14\/c). Suppose -5*n - 11 + 1 = 0. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -1\/4 + 1\/4*x**2 + 1\/4*x**3 - 1\/4*x = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 minus -424?\nAnswer: 419.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0.5, -1\/98, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 37*m + 6. Let x be r(-12). Let c = -3.07 - -0.07. What is the nearest to x in c, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67284368.\nAnswer: 2, 17, 247369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15363 or -3400?\nAnswer: -15363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 = -4*j + 69, -4*l = -20. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437653 is divided by 4052?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*t - 5, 3*t - 5*t = -5*o - 1. Let j be 5 + 2 - (t + -1). Is ((-44)\/j)\/(8\/(-40)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -4, 1\/4, 1\/47, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*f + 83 + 1282. Suppose 5*k + 25 = x, 2*k = 5*x + 7*k - f. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1+-30\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-12)*(-29)\/(-12))\/(280\/420)\nAnswer: 58\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 240*t - 8782. Determine x(-195).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 823 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 162?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-27))\/((-20)\/80).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -116904\/883 at least -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 586.09 - 590. Let h = 0.09 - d. Let x be 22\/(-1 - -12)*(1 - 0). Sort -7, x, h, -0.5 in descending order.\nAnswer: h, x, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90)\/(-8) + 18\/24. Let p be (10 - i)*(-1 + 0). Let g(m) = 5*m + 3. Let z(o) = 4*o + 2. Let d(y) = p*g(y) - 3*z(y). Let l(f) = -6*f. Determine l(d(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56142\/11 + -5104. What is the nearest to 0.58 in 2\/7, 4, q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 45\/(-135) + 2*(-1)\/(-6). Solve l = 3*p - 7*p + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.628+-2\nAnswer: -2.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 156, 139, 164, 249, 412, 671, 1044, 1549?\n\"Answer: 3*k**3 + 3*k**2 - 47*k + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4 = 4*i, -3*i + 5*n = -8*i - 5. Let j = -1172\/5 + 234. Which is the nearest to i? (a) 3\/5 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -2\/11, 1\/31?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148630, -148636, -148640, -148642, -148642?\nAnswer: -148640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2518*s**3 - 87*s**2 + 1070282 wrt s.\nAnswer: 7554*s**2 - 174*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 4) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 7*t**2 + 4*t - 14. Determine n(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1*(6 + 3 + -4). Is (-22001)\/(-35) + i\/(-10) 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 119\/1300 and -41\/50440?\nAnswer: 252200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**2 + 4*i**3 + i**3 - 5*i**3 - 3*i**6 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18360)\/(-252))\/(-30)*(-7)\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 85*x**2. Let z(p) = 2905 - 2905 - 2*p. Give z(a(l)).\nAnswer: -170*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - 27. Let c = -42 - p. Let x = -16.9999965 + c. Round x to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 - 1 = 3*v, 2*o - 2 = 0. Let c be 15\/v*(-1)\/(-3). Suppose -3*a = a - 3*i - 88, c*a - 2*i - 110 = 0. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197\/6 - -33. Let l = -969 + 973. Suppose -1 = -4*v + 5*s + l, 3*s - 4 = v. Which is the second biggest value? (a) -17 (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -88 + 28. Is (i\/8 - -1)*-72 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -14)\/3 + -1. Let f(n) be the second derivative of -2*n + 1\/6*n**4 - 1\/2*n**h + 0 + 0*n**2. What is the second derivative of f(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2769157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -123, -2, 3\/4, 5 in decreasing order.\nAnswer: 5, 3\/4, -2, -4, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130 divided by -426?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/4)\/(87\/10730).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.13, 4, 3\/2, 1047?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340 is divided by 56.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2437 - 12?\nAnswer: 2425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 56, -1\/2, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 43965.663?\nAnswer: 43965.663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2103?\nAnswer: -1051.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 - 2 = -3*c, 2*w + 4 = 0. Suppose 4*b - 2*k = -0*b + 10, 0 = -3*b - 5*k + 27. Let h = c + b. Sort -3, h, 2 in increasing order.\nAnswer: -3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -a628db?\nAnswer: a628d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p + 5. Let j(u) = 1. Calculate -6*j(c) + z(c).\nAnswer: -8*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1061688724 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-3) + 2*2\/(-12). Does 21 divide -5 - (-5 + m) - -509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1493015 - -2858.8886985. Let y = 2855 - u. Round y to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -1\/10 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/91, 2, -1\/5 in descending order.\nAnswer: 2, -1\/91, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18861011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywjd when four letters picked without replacement from {y: 1, j: 1, d: 1, w: 4, u: 4}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.917 + 0.683. Which is the nearest to 0? (a) -0.4 (b) k (c) -2\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 200 + -218. Is 6 a factor of (-21 - j) + (-27)\/6*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9107 divided by -56\nAnswer: -1301\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(600) + (sqrt(600) - ((sqrt(600) - sqrt(600)*-1) + sqrt(600)))))\/(sqrt(108) + (-5*-2*sqrt(108) - sqrt(108)) + sqrt(108)).\nAnswer: -5 + 25*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + 0.11. Let z = 19 + -18.8. Let x = z - u. What is the third smallest value in x, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from ucbuc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792, 794, 796, 798, 800?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -39486424332428 less than -1?\nAnswer: 39486424332427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, s: 2, y: 4, a: 1, j: 3}. What is prob of sequence ajjs?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-12 + 41 - -12) + 7 + -16)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 29168?\nAnswer: 29182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 223 - 224 + 447 - 3*h**3 + 3*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 957117.99162 and 0?\nAnswer: 957117.99162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 5*v - 8. Let r be w(-6). Let x(b) be the third derivative of -b**4\/24 + b**3\/3 - 40*b**2. Let u be x(r). Solve u = 3*k - 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 5*o + 4. Suppose -4*x = -12 - 4. Calculate the remainder when t(3) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**5 + 51*x**4 + 160*x**2 - 6. Let g(q) = 7*q**5 + 51*q**4 + 160*q**2 - 5. Let z(h) = -6*g(h) + 5*y(h). What is the third derivative of z(w) wrt w?\nAnswer: -120*w**2 - 1224*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 5:25 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 474 - 474.000995. What is u rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lss when three letters picked without replacement from yslss?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/27 - (-2562672)\/2268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2111 + 0.185. Let p = -1.97395 + y. Let k = p - -2. What is k rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y**3 - y**3 + 0)*(3*y**2 - 3*y**2 + 3*y**2).\nAnswer: -6*y**5 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (229*b + 243*b + 431*b)*(3 + 0 - 1 - 5 + 3 + 1 + (-3 + 2 + 0)*(-3 + 4 - 2) - 1 + 2 + 3 + 0 - 4 - 1) to the form p*b + r and give p.\nAnswer: 903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 6*k**2 + 6*k - 4. Let t be g(-7). Suppose 3*j - 9 = -5*q, 5*q = -j + 3*q + t. Solve 2*b - 3 = 3*o - 0*o, 0 = j*o + b + 12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2519758 (base 10) to base 9\nAnswer: -4660411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22452*n**4 - 26671?\nAnswer: -89808*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -129, -959.\nAnswer: -959, -129, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - u - 0*u - 47, -2*m + 4*u + 26 = 0. Suppose -3*v - 2*v + 22 = 4*h, -4*v + 5*h = 7. Suppose v*c = 8*c - 24. Solve m*x = c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -33*l + 16*l. Suppose -3*w + 4*w - 3*x + 22 = 0, -3*x + 6 = 0. Let a = l - w. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from nlnnnlnnn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -38. Let z = h - -3.5. Let x = 1.5 + z. Which is the second biggest value? (a) 4 (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -1\/2*a**2 - 15 + 17*a. Let b be y(14). Solve -3*o - s = -o - 4, -b*s = -o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.02 and 1\/137093452 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*((-153)\/(-18))\/17.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 3*t + 4. Let q be u(3). Suppose 3*h - 559 = -i, -2*h + 4*i = -351 - q. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0*y**3 + 0*y**4 - 99\/2*y**2 - 63*y - 41\/4*y**5 + 0. What is the derivative of z(b) wrt b?\nAnswer: -615*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/28 - (-1 + -3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -378 (base 14) to base 10.\nAnswer: -694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1\/(-8) + (-102)\/(-24). Suppose 5*d + 2*w - 281 = 0, v*d + w - 226 = -w. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 0*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 90*q - 81*q. Suppose q*g = -16 + 26. Let k be 1 - ((-22)\/(-10) - 2). Which is the closest to 0? (a) g (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 10 = -2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 7*n = -12*n - 146, -3*n = 2*g - 4*n + 2*n + 27 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*k + 15320 = -134*k. What are the prime factors of k?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/18 - (-8)\/(-6) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 8 = -18*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370441 by -1.\nAnswer: 370441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 238 (c) 0.3 (d) -2\/3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**7\/21 - 408*s**5\/5 - s**3\/3 - 267*s**2 + 622*s - 2. What is the second derivative of d(a) wrt a?\nAnswer: -40*a**3 - 9792*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2 - 205420*w + 212659944 = 0.\nAnswer: 1057, 50298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 251, 57, -1\/5, 0 in decreasing order.\nAnswer: 251, 57, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 3*q - 17. Suppose -4*s + 5*d = 43, -9 = 3*s - 2*d + 18. Let p be k(s). Let h = -40 - p. Solve 0 = -2*f + h + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58614, -58645, -58674, -58701?\nAnswer: -58726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 342966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 95\/190 + 26\/(-36). Let d(f) = f**2 + 3*f - 1. Let b be d(-3). Let p = -77\/3 + 163\/6. Sort g, b, p in descending order.\nAnswer: p, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -2\/7, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 + 60*p**2 + 472*p + 672 = 0.\nAnswer: -4, -2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441, -476, -509, -540, -569, -596?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -5564?\nAnswer: -5\/2782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 - 74. Solve -t*j - 1 = -i, 7*i + 26 = 3*i - 2*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-4)*(-44)\/(-264)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 13*l**2 + 3. Let h(b) = 372*b**2 - 206*b**2 - 206*b**2 - 9 - 1. Calculate 3*h(n) + 10*o(n).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/6 - 5*k**3 + 133*k**2\/6 - 34*k + 50\/3.\nAnswer: (k - 25)*(k - 2)**2*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(-2*sqrt(24)\/sqrt(3)) - (-4 + (-2*sqrt(84))\/sqrt(12))**2.\nAnswer: -44 - 33*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, h: 2, b: 2}. Give prob of sequence bqb.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -11*b**6\/120 - 5*b**4\/24 + 5*b**3\/6 - b**2. Let v(r) = 11 + r**3 + 2*r + 4*r**3 - 6 - 7. What is 2*f(t) + 5*v(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**2 + 1 - 4*d + 1\/3*d**3. Is f(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + 20\/5*1. Let i be 1\/((10\/25)\/2). Which is the smallest value? (a) 3 (b) -0.7 (c) i (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20873272 divided by 2981896.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q - 2*m = -2*q + 54, -8 = 4*q + 2*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21222 + -11?\nAnswer: -22010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 1:27 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -524 divided by -4.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/5976 and -139\/60.\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**3 - 12*k**2 - 12*k - 81. Let w(t) = t**2 + t - 1. Calculate -d(f) - 12*w(f).\nAnswer: 3*f**3 + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**2 - 4. Let y(n) = n**2 + 1. Let v = -7 - -15. Let q(u) = v*y(u) + 2*r(u). Let m(o) = -o**2. Give m(q(s)).\nAnswer: -64*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83586 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 24*c**4 - 2*c**3 + 24*c**2 + 2. Let k(b) = b**3 + b**2 - 1. Let h(x) = -2*k(x) - u(x). Find the third derivative of h(t) wrt t.\nAnswer: -576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*d**2 - 49*d - 6.\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*r + 9*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 193669?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 34*i**2 + 71*i + 57. Let o be m(36). Suppose -o*w + 339 = -837. Factor -2\/7*u**2 - w + 8*u.\nAnswer: -2*(u - 14)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.35 and 2?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**8\/6720 + w**6\/720 - w**5\/120 - 3*w**4\/8 - 7*w**2. Let c(m) be the second derivative of u(m). Determine c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -8 + 30. Let p = r + -1. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/5 = -15098962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 101, 161, 209, 239, 245?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196)\/sqrt(100))\/(sqrt(56)\/sqrt(288)) + (-1 + -1 + sqrt(567) - (sqrt(7)*-2*6 + sqrt(35)\/(sqrt(45) + sqrt(5)))))**2.\nAnswer: -439*sqrt(7)\/5 + 1350647\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 187.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*j + 85*j - 26*j**2 - 35*j**2.\nAnswer: -61*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6627542623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.237113 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-8) - (-11)\/(-44). Suppose -z - 4*u + 15 = 0, -5*z + 4*u + 5 + 46 = a. Suppose k = 4*i + 42, -4*k + 179 = -5*i - z. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7110 by -790.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-12))\/(42\/18). Let l = -12.5 - -12.2. What is the biggest value in f, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**4\/5 - 18*y**3 - 834*y**2\/5 - 1406*y\/5 - 132 = 0.\nAnswer: -33, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -33 - -31 - 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4709 + 8672. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75946*m**2 - 55*m - 12994787.\nAnswer: 151892*m - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/10 and -1\/838.\nAnswer: 4190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42971? (a) -10 (b) 2 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 59. Let y be (-74)\/o + 2 + (-4)\/7. Solve -4*c = 4 + y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1581 and 10.\nAnswer: 15810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/80 - 3*f**5\/32 + f**4\/4 - f**3\/4 - 20*f. Factor g(d).\nAnswer: 3*d*(d - 2)**2*(d - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11501.8 - -12592. Round a to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l - 8*l - 5*l + 14*l + 20*l**2. Let g(w) = -7*w**2 + 4*w. Let s(m) = 11*g(m) + 4*u(m). Let q(h) = 4*h. Calculate s(q(v)).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 544885042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 - 204*g**2 + 689*g + 3657. Give s(-71).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4719) - sqrt(4719)*-2) + sqrt(39))\/(sqrt(30)\/(sqrt(10) + sqrt(50)\/sqrt(5))) - (-5 + 2 + (-1*sqrt(117) - sqrt(117) - ((sqrt(13) + 0)**2 + 3))).\nAnswer: 19 + 74*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 29*t + 164 - 304 + 107 + 214. Give f(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.6417 + -9.5417. Let p = 11 + -15. What is the closest to -3 in p, i, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 6*q = 3. Calculate the remainder when 9 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5003315 divided by -17?\nAnswer: 5003315\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*x + x. Let d be (1\/2)\/(x - 273\/(-54)). Are 11 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 * -20.7.\nAnswer: 1552.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 718960064096 less than -1.2?\nAnswer: -718960064097.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*m = 387*m + 3360. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -256918?\nAnswer: -256942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2355 = -5*g + 120, 2*g - 2*d = 990. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13276.999986356 + -13277. What is s rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 14064575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17089020 divided by 4251.\nAnswer: 4020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a factor of 429853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 691 by 170552.\nAnswer: 691\/170552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/228956 and -55\/1428?\nAnswer: 686868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/4 - 7*m**3\/2 - 17163*m**2 + 3832191*m\/2 - 63414981\/4 = 0 for m.\nAnswer: -301, 9, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**3\/2 - 3*j**2\/2 - 4*j. Differentiate f(m) wrt m.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-76)\/114 + 52\/42. Which is the smallest value? (a) -1 (b) j (c) 3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 6:15 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20516 and 552?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 238*r**2 + 4 + 240*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08389693 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20608709 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 2766306?\nAnswer: -2766303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2672200 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**6\/120 - 7*h**5\/60 - 5*h**4\/24 - 3*h**3\/2 + 6*h**2 + 22. Let y(t) be the second derivative of d(t). Calculate y(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 62. Let x = 67 - g. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2061616326 to the power of 1\/2, to the nearest integer?\nAnswer: 45405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*100*-3. Let u(y) = 104*y + 73. Let n be u(3). Let b = w + n. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*25\/5 + 204\/30.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68116507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 668\nAnswer: -40.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (87354\/2743)\/69 + (-217)\/(-65)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 w when four letters picked without replacement from {j: 1, c: 2, i: 6, w: 3, x: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36387.\nAnswer: 3, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89\/(-267)*(-402)\/(-536)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + -2 + -778 + 814 - -100.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132912?\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -119 - 14*w**2 + 723*w**3 - 360*w**3 - 52 - 362*w**3 + 20*w**2 in the form r*w**3 + a*w + u + y*w**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(4200))\/(sqrt(600)*1*3).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15736.98 - -107.\nAnswer: 15843.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l**2 + 2*l**3 - 2*l**2)*(-3 + 0 + 0)*(-5*l + l + 2*l)*(-3 + 0 + 1) in the form c*l**3 + s*l**4 + v*l + j + r*l**2 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 less than -0.47885818?\nAnswer: 24.52114182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccrccrrc. Give prob of picking 4 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 4*i - 7. Let m be n(5). Suppose -4*f = -m + 7. What is the third derivative of -77*d**4 - f*d**2 + 60*d**4 - 2*d**2 wrt d?\nAnswer: -408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(1 + -6) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2657430 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 802556315 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**3*d)\/d)**(-48)*d**(1\/7)\/d**(-6\/7) assuming d is positive.\nAnswer: d**97","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 5. Suppose n = 3*n - 6. Suppose -n*r = -3*s + 3, -2*r - 4*s + 6 = 2. What is v(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189854857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.88253173 rounded to two dps?\nAnswer: 11.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -31251*i**2 - 5*i - 4. Suppose -5*j = -5*r - 3*j - 10, 0 = -r + 3*j + 11. Let z be u(r). What is z rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310 divided by -2.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:38 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 2492*z**2 + 44597*z - 160810.\nAnswer: (z - 2474)*(z - 13)*(z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*x - 6*x + x - 4*x**3.\nAnswer: -4*x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1011222012022011?\nAnswer: -1011222012022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 22. Let b(m) = -m. What is b(l) + v(l)?\nAnswer: l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 10*r = 15*r - 10, 0 = -3*m + 2*r - 2. Put 0.3, m, 11, 0.4 in increasing order.\nAnswer: 0.3, 0.4, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 - 8 + 0 + 4 - 5 + (-4 + 1 + 5)*(2 + 1 - 1) + 1 + 2 - 2)*(-2 + 2 - 2*z) to h*z + f and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 275478.6 weeks?\nAnswer: 166609457280000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 339 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 9*b**2 - 15*b - 4. Let s(m) = 4*m**3 - 16*m**2 + 30*m + 7. What is -6*s(g) - 11*x(g)?\nAnswer: -2*g**3 - 3*g**2 - 15*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 30 = 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-275)\/(-21) - 1408\/14784?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3351720 divided by -6.\nAnswer: 558620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -3 (b) 0.4 (c) 1\/2 (d) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-65)\/(-10) - -1)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -33*j**2 + 5*j + 5. Let l(u) = -17*u**2 + 2*u + 2. Determine 5*l(t) - 2*p(t).\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*p + 532 - 525 = 0, -3*p - 8 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -11*q**2. Let g(b) = b**2 - 262*b - 103. Calculate g(j(w)).\nAnswer: 121*w**4 + 2882*w**2 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 12049506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 55 = 2*u. Let r = -19 - -31. Is u equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 830 and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 488\/813 + -1033267\/1755267. Let t = 6\/127 + c. Let g be 0 + -2 + (3 - 2). Which is bigger: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54330*l**3 - 19671*l**3 - 18854*l**3 - 17795*l**3.\nAnswer: -1990*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.61 - -0.11. Let d = y + 6. What is the second biggest value in d, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -41*c**2 - 375*c + 99. Let o(m) = 54*m**2 + 500*m - 131. Let a(s) = 10*o(s) + 13*u(s). Calculate a(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*w = 122 - 713 - 471 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/34*(-16456)\/(-7744)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*j + 125, 0*l + 85 = 5*l + 5*j. Let z(c) = 1 + l*c - 15*c + 10. Calculate the remainder when z(13) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -591 - -706. What is the remainder when a is divided by (-1*58)\/(1 + -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14035 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -59*u - 238 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*f + 2 = 1, 2*t = 5*f - 5. Suppose 5*x - 16 - 19 = 0. Let a(v) = x - 5 + 0*v + 2*v. Calculate a(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 236995288, 236995287, 236995286?\n\"Answer: -b + 236995289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffxxfffffffffff. What is prob of sequence fx?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 21 - 1. Suppose 0*w + f*w = 10. What is the units digit of -4*((-6)\/w - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 0 - -2) + 25 + (-21 - 14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.56 + -0.06. Let z = -5.8 + o. Put 0.1, z, 3, -18 in decreasing order.\nAnswer: 3, 0.1, z, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.2 (c) -1992\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1373797535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 6340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/36124212 and 47\/9168.\nAnswer: 144496848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:16 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 - 0.053.\nAnswer: -0.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/3 - 162\/(-48). Let j = 3.4 - -0.6. Sort 2\/5, -1, j, q in descending order.\nAnswer: j, 2\/5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2\/3 + 2859612*n - 8578840\/3 = 0?\nAnswer: -2144710, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(49) + (sqrt(2401) - (sqrt(2401) + 1*sqrt(2401))) + sqrt(2401)*-2 + sqrt(2401))\/(((-2*sqrt(28))\/sqrt(2))\/(sqrt(8)\/sqrt(64) + sqrt(2))))**2.\nAnswer: -88725\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*d + 55 + 55 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 806.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**3 - 7\/2*q**2 - 1\/2*q + 0 = 0.\nAnswer: -1, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.081298857 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - w + 4. Let h be i(2). Let m be 26\/91 + 52\/h. Calculate the greatest common divisor of 36 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.744 - 19.6823\nAnswer: -22.4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261.5 - -425. Let x = -163 + v. Let o be 3*-1*2\/3. What is the nearest to o in x, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465 and 82863?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwzm when four letters picked without replacement from zhwzzzwmzzmm.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0.8. Let v = d - 0.8. Which is the nearest to v? (a) -0.6 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/4 of a millennium?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 823129, 1646256, 2469383, 3292510?\n\"Answer: 823127*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 5*j**3\/3 + 6*j**2 + 17. Find the second derivative of k(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 169 + 2?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1818?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 0*f - 3*f + (2*f - 3 + 3)*(-2 + 3 + 1) + 25*f - 3 - 17*f - 18*f to the form t*f + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.05 - -23.95. Let w = d - 21. Suppose 11 = -x + 16. Which is the closest to 0.3? (a) 2\/9 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10474?\nAnswer: 2, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62094 = 2*q - 2094. What is q rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 + 1. Let k be 2\/4 - 86\/(-4). Calculate the remainder when k\/(-4)*2*-2 is divided by r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**9\/1512 + u**5\/120 - u**3 + 3. Let j(h) be the third derivative of m(h). What is the second derivative of j(n) wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19137 + 19149. Calculate the remainder when 1354 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 0*d + 124 + 2*d + 97 - d. Let n be w(0). Suppose 4*a + 2*v = -v + n, -5*a + 280 = 3*v. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-22)*(-14)\/((-308)\/(-242))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/7))\/(z**7\/z))**(-28\/3) assuming z is positive.\nAnswer: z**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2364, 15630, 37740, 68694, 108492, 157134?\n\"Answer: 4422*x**2 - 2058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z + 3. Let s(t) = -144*t + 40. Determine 40*k(d) - 3*s(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11822 (b) -1\/5 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049157 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2)*8\/6. Suppose 2*x - 52 = -z*x. Differentiate -7*n + x - 5*n**4 + 7*n with respect to n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -5.256.\nAnswer: 1.5768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/((-7)\/42). Suppose 3*t - 11 + 2 = 0. Solve -t*n - 4*x - 1 = -11, 0 = -c*n + 5*x + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -3, -1684682 in decreasing order.\nAnswer: 83, -3, -1684682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Suppose 4*w - 5*h = -69, -p*h + 0*h + 37 = -2*w. List the prime factors of w\/(((-6)\/(-3))\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-19)\/(2128\/1936)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 0*g + g + 0*g. Let z(v) = v**2 + 5*v**2 - 5*v**2 - 2*v**2. Calculate z(y(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - -97. Suppose -5*o = -u - 300. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, -2175, -1441 in descending order.\nAnswer: 180, -1441, -2175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 115560577 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -10 + (-3 - 5 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-28)\/12*3. Suppose -601 + 97 = -4*q + 3*u, -d*q = -4*u - 385. Suppose 5*o + 5*l - 3*l - q = 0, -3*l = -12. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - (-26)\/(-6)) + (-1)\/(-3). Let t be 0 - (0 - -1) - i. Put -1, t, 0 in ascending order.\nAnswer: -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39491 - -61680. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h + 10. Let a(m) = -8*m + 5. Let b be a(h). Let n = -27 + b. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 + 5*a**3 - 4*a**3)*(-1 + 1 + 1) + (a - a + 2*a)*(0 + 0 + a**2).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/30)\/((-7)\/(-1)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 + 7*h - 9*h**2 + 6*h**2 + 0*h + 5. Let w be g(-1). Solve -5*o + 3*o - 4 = w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*1*4 - (sqrt(76)\/(sqrt(32)\/sqrt(8))*-1)**2.\nAnswer: -19 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8432 and -0.4546673?\nAnswer: 8432.4546673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f. Let a(p) = 36*p + 37. Let h be a(-1). Let y(u) = 4*u - 2. Let k(v) = -v**2 + 2*v. Let m(w) = -2*k(w) + 2*y(w). What is h*m(g) - 4*d(g)?\nAnswer: 2*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20, -85, -224, -461, -820?\n\"Answer: -4*q**3 - 13*q**2 + 2*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b + 20*b - 6 = 0. Factor 1\/2*t**b + 2*t + 2.\nAnswer: (t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7962459 is divided by 1860?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -979881*j**3 + 2*j**2 - 3. Let b be g(2). Let u = b - -9453884147\/1206. Let h = u - -25\/18. Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*d = 34*d + 28. Solve 3*p + d*p = 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(2\/6*-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, 6, 4, 1, -3.\nAnswer: -3, 1, 4, 6, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, r: 7, x: 2, q: 5, c: 3}. Give prob of sequence xrxr.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 35 - 41. Let t = k + 39\/2. Are 5 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1\/24*1*-12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1007 - 1007. Solve -k + z*w + w = -1, -3*k - 3*w = 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-189)*6\/4. Let t(d) be the third derivative of 0*d + 4*d**2 - 1\/12*d**4 + 0 + 1\/60*d**5 - 1\/120*d**6 - p*d**3. Determine t(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*x + 2*x + 3*x - 3)*(-3 + 1 + 1).\nAnswer: 6*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2232 + 2232.1. Which is the third smallest value? (a) y (b) 2\/15 (c) -65 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11*1\/(-33))\/(3\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 133058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**4\/66 - 2*c**3\/11 - 7*c**2\/11 - 372*c. Solve o(u) = 0 for u.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (-38 - (-67 + 61))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1796 - -1796.5. Which is the fifth smallest value? (a) t (b) 11 (c) -2 (d) 0 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 39607972?\nAnswer: -39607971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-v**4 + 5*v**3 - 5*v**3) + v**3 - v**3 + 2*v**4.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -11*f**2 - 4*f - 25. Does 12 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 4*w - 6 + 5 to the form l*w + a and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(7) + -4)*-1.\nAnswer: -3*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1008)\/(-1540)*(-60)\/(-36)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sobkfkk. Give prob of sequence kb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 10) to base 14\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2911, -5825, -8739, -11653?\nAnswer: -14567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/48*1\/(-2)*3. Let p(v) be the third derivative of 19*v**5\/60 + v**4\/24 - v**3\/6 - v**2. What is the units digit of p(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72587, -145204, -217819, -290432, -363043, -435652, -508259?\nAnswer: -580864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7988.8 + 7988. What is the nearest to p in 0, -5, 5\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/3 + j**3\/2 - j**2\/2 + 2*j. Let q(x) = -x**3 + 4*x**2 + 2*x - 5. Let n be q(4). Is 9 a factor of a(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffstysfftyssyfffs. Give prob of picking 4 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/4)\/((-132)\/64 + 2). Solve 4 = u*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = 6. Suppose -x*a + 16 - 4 = 0. Suppose 0*m + 3*m = -12. Sort a, m, 3.\nAnswer: m, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5 + 5 - 8 - 3*z + 8*z. Calculate the smallest common multiple of (24\/(-10))\/((-3)\/10) and b(6).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2513*v**3 + 7*v**2 - 9*v + 25. Let h(n) = -1256*n**3 - 4*n**2 + 5*n - 14. What is 7*h(a) + 4*l(a)?\nAnswer: 1260*a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 101999 + 4?\nAnswer: 102003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*o**3 + o**2 - 93*o wrt o.\nAnswer: 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -21 (b) 4 (c) 5 (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1532 (base 6) to base 11.\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*v - 366*v - 956*v + 5568 = 0. What is the smallest common multiple of v and (-8)\/10*(2 + -47)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 0.4, -2, -1\/7, 3, -1\/20, -38?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, l: 8, r: 1, p: 2, c: 2, q: 2}. What is prob of picking 1 q, 1 p, and 1 l?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 22*f**2 - f - 23. Let v be d(-22). Let x be v - (2 - 10)\/2. Calculate the highest common factor of 24 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 18. Let j be k(-14). Let f = 58 + -26. Calculate the greatest common factor of j and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4 + 10600*d**3 + 5441*d**2 wrt d?\nAnswer: 24*d + 63600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 - -0.66. Let g = f - 1.56. Let w = -1.572 - g. What is w rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 0 = -5*g - 7*z - 16 - 7, 13*z = 39 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 17 + k**3 + 60*k**2 - 60*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 10:53 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 10. Let t = 73 + -70. Suppose t*a + 15 = -3*g, 0*a - 2*a + g = 4. Put a, 1, d in descending order.\nAnswer: d, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 1, k: 2, p: 4}. What is prob of sequence ppkk?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247.64 - -248. Let u = 0.51 - 0.25. Let a = o - u. What is the third biggest value in 5, 8, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Suppose -i = 2*a - 0*a - 34, s = -5*a + 4*i + 111. Is (a\/(-3))\/(2\/(-138)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1241422105 - -212?\nAnswer: -1241421453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f - 15. Suppose 0*a + f*a - 36 = 0. Suppose 6*h - 2*h - a = 0. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 555 or 28336\/51?\nAnswer: 28336\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*c + 1, -3*c = 4*j - 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 e when three letters picked without replacement from {q: 4, e: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3825146381 and 0.4.\nAnswer: -1530058552.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4437*-17)\/((-20)\/(-15))?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 41*d + 36*d = -10, 0 = -3*j + 3*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 422417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -812, -815, -820, -827, -836, -847?\n\"Answer: -d**2 - 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20195.5 times -14.7\nAnswer: 296873.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 0 - 5*w + 1\/138*w**4 - 2\/23*w**3 + 5\/23*w**2. Solve m(c) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3659, 7288, 10891, 14468, 18019, 21544?\n\"Answer: -13*z**2 + 3668*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2. Let a(t) = -21523*t. Calculate u(a(o)).\nAnswer: -463239529*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -15230*f. Let t(h) = 4*h. What is t(l(n))?\nAnswer: -60920*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 758 and 402?\nAnswer: 152358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/3 - 19*z. Let i(g) = -17*g. Calculate i(y(d)).\nAnswer: 34*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 38*x - 68 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1444581*z**4 + 11552687*z**2.\nAnswer: 34669944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 30*i - 184. Let l be c(6). Let p(n) = -4*n**2 + 2*n + 5. Let m(o) = 8*o**2 - 5*o - 11. What is l*m(s) - 9*p(s)?\nAnswer: 4*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 + 332 + 334 - 994 + 7*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5 - 12)*(0 + 1 + 1)*(-a + 2*a + 2*a).\nAnswer: -102*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9149758 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 21. Let j(c) = -c**3 + 6*c**2 + c - 8. Let m be j(6). Let x = m + q. Sort 2, -7, x in ascending order.\nAnswer: -7, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 (base 10) in base 3?\nAnswer: 20220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -317 - -315.03. Let r = 1.67 + a. What is the second biggest value in 0, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0164081208 to five decimal places.\nAnswer: -0.01641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -562, -1485, -2834, -4609, -6810, -9437?\nAnswer: -12490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98000329 divided by -3.\nAnswer: -98000329\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 2241*w**6\/40 - 5077*w**5\/30 + 44*w**2 - 52. What is the third derivative of u(o) wrt o?\nAnswer: 40338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-6 - 1) - (-10 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183845\/66 + -5567\/2. Let w = 38 + -82. Find the common denominator of n and 168\/w - (0 - 2).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/(-4)*((-30)\/9 + 4). Solve 2*a - 4 = h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 374, 839, 1490, 2327?\nAnswer: 3350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q + 2262 = 5*j, 4*j = q + 1812. What is the hundreds digit of 18\/(j\/90 + -5) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661641.\nAnswer: 1661641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 4 + 750*v**2 + 252*v**2 + 0*v + 3*v. Let n be u(-2). Is (n\/(-2))\/(-2) + -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33319, -133209, -299671, -532705, -832311?\nAnswer: -1198489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o = -26*o - 21. Put -7, -1, o in decreasing order.\nAnswer: o, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(72))\/sqrt(11).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 567129.42 take away 4?\nAnswer: 567125.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -37. Suppose 0 = 5*r + 3*n - u, 6 + 6 = 5*r + 2*n. What is the third derivative of 7*d**3 - 15*d**r - 5*d**3 + 11*d**3 + d**3 wrt d?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -67*g + 3685. Let n be p(55). Let i = 1.6 - 7.6. Let w = -6.2 + 6. Which is the second biggest value? (a) i (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 9:25 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 286 = -8*f + 10*f, -2*i = -f - 186. What is the highest common factor of i and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4465 and 44807168?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 33*k - 28*k + 2778, -5*p + 4596 = 3*k. Does 27 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/12 and (-6)\/(-4)*(-305)\/30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -1. Let u = -3 + 11. Let q = u + -2. Calculate the least common multiple of o and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 17. Which is the third smallest value? (a) 5 (b) -2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/127842 and 27\/24556?\nAnswer: 1569644076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-115))\/((-4)\/3*(-6)\/(-4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1890500 and 47\/1134300.\nAnswer: 5671500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*h - 24 = 5*h, 0 = 2*i + 5*h + 12. Suppose 3*g - 5 = i. Solve 9 = 2*o + g*l, -o - 4 - 14 = -3*l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 389*g**4*t**2 + 129*g**4 + 789*g**3 - 2*g**2*t**2 + 8967788*g**2*t - 6*g*t**2 - 2*g*t wrt g?\nAnswer: 9336*g*t**2 + 3096*g + 4734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.38 - 83.38. Let i = q + 81.923. What is i rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5667 + 731 + 4058 - 2959)*(-3 + 3 + 4*z**4).\nAnswer: 29988*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-1)\/(-3)))\/(12936\/392).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 3:51 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16*c + 14. Let m(g) = 50*g - 40. What is -5*m(k) - 14*r(k)?\nAnswer: -26*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6706\/36 - (-15)\/(-10). Let v = k + -185. Which is the smallest value? (a) 2 (b) v (c) 3 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 2*s - 7. Let l be r(-3). Solve 2*c = -5*w + 14, -l*w - c - 8 = -20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185715725 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 676*n + 4079. Determine o(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 91 (b) -2\/7 (c) -2\/3 (d) -118 (e) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7304 + 10009. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 69 = 3*a + 247, a + 104 = h. Let i = -103 - a. What is the greatest common divisor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -17 - (-37 + (45 - 9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**18*g)**50*(g*g**(13\/5)\/g)\/g**0 assuming g is positive.\nAnswer: g**(4763\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 z when three letters picked without replacement from {t: 4, z: 4, c: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2. Let g = 13 - 12. Let a be d(g). Let z(x) = x**2 - 4. What is z(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2525\/(-2626) - (1 - (0 - -2)). Let b = 2.4 - 2. What is the third smallest value in 2\/11, a, -5, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -289329, -578679, -868049, -1157439?\n\"Answer: -10*x**2 - 289320*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 6:24 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 158 = 223 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1312 and (-15)\/(-60)*-41 + 6?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9164 - 5825. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111220013 (base 4) in base 6?\nAnswer: 1522035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76096 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2099\/4 or -526?\nAnswer: -2099\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 24*((-21)\/3)\/(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 0, -d - 6*l = -8*l + 3. Let w = 116 + -673\/6. Let g = -82\/21 + w. Is g equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - j**2 + 0*j**2 + (4 - 4 - 2*j)*(3*j + 6*j - 3*j).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - -9) - (-1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 3:46 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186847, -373791, -560735?\nAnswer: -747679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*p - 5*p - 5, 0 = 4*u - 3*p - 3. Suppose 0*t + 2 = 2*c + 3*t, -5*t + 10 = 0. Put c, 4, u in ascending order.\nAnswer: c, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 550928948 to the nearest integer?\nAnswer: 23472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 8840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/4)\/((-3)\/(-8)). Suppose -3*n + 1 = -4*y, -j*n + 0*y = -5*y + 4. Factor -5*t**3 - 22*t + 17 - n*t - 20*t**2 - 27.\nAnswer: -5*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 927 + -344. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 41, -13 in decreasing order.\nAnswer: 41, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192392900 by 27484700.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6312 and 10158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162\/217 - 1\/31. Find the common denominator of 11\/5 and c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 + 33*d**2 - 17*d - 39. Give j(16).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 17)*(-6*q**4 - 3*q**4 - 2*q**4)*(-14*q - 19 + 19).\nAnswer: 1694*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 185\/10*4\/(-10)*560\/(-56)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6805 - -205751866.1?\nAnswer: 205758671.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167197 - 99*o**2 + 167197.\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 64*x**2 - 145*x - 76. Calculate h(-61).\nAnswer: -2394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**(1\/20)\/(n**(-1\/6)*n**0*n*n))\/((n**(-1)*n)\/(n**0*n)*(n**(-1))**(1\/6)) assuming n is positive.\nAnswer: n**(-137\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:00 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnuuu. What is prob of picking 3 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssooggoqoqo. What is prob of sequence gsq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqqu when four letters picked without replacement from suvuuuqssuuuuvuggqu?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/8)\/(3\/(-178)) and -41\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 10 + 22 = 3*z, 2*z + 3*o = -4. Suppose -3*a + z*i + 2137 = -646, -5*i - 2779 = -3*a. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 577 - 569. What is the greatest common factor of 488 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -57, 1, 0 in ascending order.\nAnswer: -57, -1, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 + 8\/32 + 2\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*t**2 - 2*i**2*t + 3*i**2 + 4875*i*t**2 - 20*i*t - 4*t**3 - 10*t wrt t.\nAnswer: 4*i**2 + 9750*i - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*i = -99*i - 10. Solve 3 = -5*b + d - 14, -4*d = -i*b - 23 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1920853999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 2, g: 1, z: 1, o: 3, h: 7}. Give prob of picking 1 z and 2 h.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - j - 2, -2*j + 20 = -4*p + j. Let y be (-8)\/20 - ((-188)\/20 - p). Solve -y = -3*n + 4*a, -n - 2*a - 3 = 2*a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3000 (base 7) to base 13.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1.6, 2, 1?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*x - 4946 = 301*x + 766 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81371?\nAnswer: 81371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 14 = -4*z. Let h(o) = -6*o - 9. What is the tens digit of h(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 10*f**2 - 10*f + 13. Let l be d(-11). Suppose -l*g + 21 = 17. What is the highest common factor of 7 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17046*49\nAnswer: -835254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/3, -45, 10\/7, 2\/5 in decreasing order.\nAnswer: 10\/7, 2\/3, 2\/5, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -5, 1 in descending order.\nAnswer: 106, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i - 1. Let z(r) be the third derivative of -r**4\/4 - 4*r**3\/3 + 1695*r**2. Determine -6*x(a) + z(a).\nAnswer: 6*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*j - 0*j + 2*v, -j + 8 = -4*v. Let u(n) = -45*n + 5. Let l be u(-5). Suppose j = -2*t + 4, -2*y - 5*t + l = 2*y. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three tenths of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7*f**2 + 14*f - 8*f**3 + 23*f**2 + 6*f**3 = 0. What is f?\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 9:30 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1507 + -1514. What is the nearest to 53 in 4, b, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2025 and 90075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 25*i**2 + 1001 - 19*i**2 - 1014 - 2*i + i**3. Give g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-27)\/(-24))\/(-9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13*(-1)\/2*-2. What is the highest common divisor of 104 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 473*c - 2812. Let t be x(6). Solve -24*v + t + 70 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:00 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -21*s**2\/2 + s + 2. Let y(r) = r**3 + 6*r**2 + 4*r - 6. Let u be y(-5). Does 11 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 6897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-85)\/15*1\/(21\/((-1890)\/80)).\nAnswer: 51\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*s - 24, 0 = k - s + 6*s - 24. Suppose -p - 2 = 4*v, p + 5*v + 3 = -k. Calculate the remainder when p is divided by 6 + (2 + -4 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 10. Let n be o(-7). Suppose 2*p + 95 = -n*p - 4*k, 15 = -3*k. Let v = -3 - p. What is the least common multiple of v and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + (4 - -1) + (-81)\/(-24) and -1*(131\/(-6) - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2*j - 5. Let i be t(4). Let c be i + (-3 + 2 - -3). Let f = -10616 - -10641. What is the greatest common divisor of f and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 - 338*h - 1241. Give o(-63).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -580*b*d**3 - 71*b*w - d**3 + 7*d**2*w + 36*d**2 - 3*w wrt b.\nAnswer: -580*d**3 - 71*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12 + (-7)\/(-3). Suppose -b + 16 = n. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*o**5*p**3 + 4*o**2*p + 3*o*p**3 - 5*p**3 + 2 wrt o?\nAnswer: -800*o**3*p**3 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 617426 and 8481667.\nAnswer: 9099093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-13)*y)**17)**(2\/15) assuming y is positive.\nAnswer: y**(544\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 9, 12, 19, 30, 45?\n\"Answer: 2*c**2 - 7*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 2. Let v be a(5). Suppose 3*g + 54 = -3*i, 0 = -i + v*i + 8. Let c = g + 14. Solve c*u - u = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+781\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 2\/39*w**3 - 52 + 18\/13*w**2 + 162\/13*w. Factor p(a).\nAnswer: 2*(a + 9)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089284 is divided by 737.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2. Let w(x) = 61*x**2 + 1. Determine t(w(y)).\nAnswer: -14884*y**4 - 488*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5877 - 5532. What is the greatest common factor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/120 + x**5\/20 - x**4\/8 + x**3\/6 - 5*x**2. Give v(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let c(x) = 2988*x**2 + 2. What is l(c(d))?\nAnswer: -5976*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 14)*2\/3. Let r(i) = 5*i + i**2 - 7*i + 8 + z*i. What is the units digit of r(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/13268 and -3\/552916.\nAnswer: 59162012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 7*w**2 - 1314 + 7*w**2.\nAnswer: -2*w**3 - 1314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 297086, 4.\nAnswer: 4, 5, 297086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 21 = -11 - 4, -2*m = 8*c - 6*c + 8 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 - (66 - -22) - (0 - 3 - (-10 - -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 89, 75, 61, 47, 33, 19?\n\"Answer: -14*x + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -4, -4, 8, 38, 92, 176?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 - 31*v + 337. Calculate d(-13).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 15, 5*j - 85 = -0*j + 2*z. Solve -5*p = -3*s - 0*p + 31, -p - j = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 3*q. Suppose v - 4*z + 2908 = 0, 3*v - 2*v + 4*z + 2876 = q. Let k = -28969\/10 - v. What is the common denominator of k and -71\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 2\/11, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o + 12. Let p be t(-2). Suppose -p = l - 5. Put l, 6, -2 in increasing order.\nAnswer: -2, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3686 = 283*u - 1045*u - 1081*u. Determine t so that 2*t - 1\/6 - 11\/6*t**u = 0.\nAnswer: 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/15*5*3. Let z(k) = -2*k + 2*k**2 - g + 4 - 2 - 3*k**2 - k**3. Let r be z(-2). Solve 4*x + 3*h = -1, -r*x + 5*h + 13 = -6*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*f = -4*f - 33, 4*f + 8 = 0. Suppose -5*l + 30 = m*w, 2*l + 0 = 8. Factor -10\/3*y**3 + 2\/3*y**4 - 2*y + 14\/3*y**w + 0.\nAnswer: 2*y*(y - 3)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3569420615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 + 0.1. Let f = c + -15.7. Let s = 12.9999925 + f. Round s to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 33925551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 - -42.23. Let o = 2.8 + -2.07. Let u = j - o. What is the third biggest value in -2, 2\/3, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 5:20 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 + 18*z**3 - 31*z**2 + 31*z**2 - 3 + 12*z**3.\nAnswer: 21*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/9, -2\/13, 30, -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15225486 to the power of 1\/2, to the nearest integer?\nAnswer: 3902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/((-896)\/(-432)))\/(9*1\/24).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 22*d - 78. Let m be g(5). Is (-8)\/m*0 + 8123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -45*r + 89. Let o be h(2). Let q(f) = -4*f + 5. Let z(s) = -s - 1. What is o*q(i) + z(i)?\nAnswer: 3*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttct when four letters picked without replacement from ntttttntct.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 381 + -380.75. Which is bigger: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4513, 36819, 124493, 295219, 576681?\n\"Answer: 4614*w**3 + 8*w - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67821.23 decades?\nAnswer: 8138547.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/180 + 2*k**5\/15 + 7*k**4\/12 + 10*k**3\/9 - 688*k**2. Factor s(o).\nAnswer: 2*(o + 1)**2*(o + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4184867 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -119.5 and -26.87.\nAnswer: -146.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7363291*s**4 - 5718125?\nAnswer: 29453164*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118340724 to the power of 1\/2, to the nearest integer?\nAnswer: 10878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 8 + 4*c**3 - 12.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -12*o. Let z(y) = -y. Let c(k) be the second derivative of -5*k**3\/3 - 5*k. Let b(h) = c(h) - 12*z(h). Calculate r(b(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = 16*d. Let m(w) be the second derivative of 3*w + 1\/6*w**3 - 4*w**2 + d. What is m(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*l - 6, t + 7*l - 4*l = 15. Suppose -4*f + 9 - 25 = 0, 3*n = -3*f + t. Solve 0 = 2*j - n*c + 4, j - 8 + 3 = -c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -74 + (15 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 69 = 116. Suppose -14*j = -c - 19. Let d be 27\/(-6)*-12*j. Calculate the greatest common factor of 27 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p + 12*p - 22*p + 2*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 5:27 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + k + 327 = 0, -4*k + 332 = -u + 3*u. Suppose 4*q - 2*x - 452 = 0, -616 + u = -4*q - 2*x. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2049\/7 + 293. Factor -2\/7*f**4 + 2\/7*f - q*f**3 + 2\/7*f**2 + 0.\nAnswer: -2*f*(f - 1)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:31 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 1272020 = 0. Let j be 2\/(-8) + c\/16. What is j rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z - 27. Give s(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 74*j - 2. Suppose -6 = -4*l - 2. What is the units digit of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-two fifths of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 6*v**2 + 2*v - 4. Let b(a) be the third derivative of 1\/6*a**3 - 9*a**2 + 0*a - 1\/24*a**4 - 1\/60*a**5 + 0. Calculate -4*b(x) - s(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.9 - 41. What is the nearest to 1 in -3, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 14*q + 19*q = 35, -8*w + q = 7 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 33*b + 35. Let n(u) = 2*u**2 + 22*u + 23. Let m(j) = -5*a(j) + 8*n(j). Suppose -13*v - 148 = -18. Let k be m(v). Is k smaller than 2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26072?\nAnswer: 2, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*t - 20*t**3 + 47*t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1 + (2 + 3 - 6)*(-2 - 2 + 5) + 2 + 2 - 2 + 15 + 2 + 4 + (-1 + 4 - 1)*(-2 + 1 - 1))*(-3*y + 3*y - y) to the form w + b*y and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9250*i = 9252*i + 72, -2*g - 62 = 2*i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6 - (-564)\/90). Let f(k) = k**2 - 22*k + 109. Let m be f(u). Let o(h) = 5*h**3 + h**2 - 6*h**3 - 3 - 2*h + 4*h**2. What is o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3762 and 1496616.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 103*d**2 - 110*d - 815. Let z be h(-102). Which is greater: z or -124\/383?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389 - -10.053.\nAnswer: -378.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -12. Suppose -4*m = -5*l - 125, -a*m + m + 2*l + 60 = 0. Solve 4*u + m = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377511989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j - 0*j - v, -4*j - v = 4. Is ((-581)\/(-14))\/((-1)\/j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let h(u) = -5*u + 6. Let i(c) = h(c) + 6*v(c). What is the units digit of i(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + g - 4 + (4 - 5 + 2)*(-4*g + g - 6*g) + (9 - 5 + 7)*(-5*g + 3*g + 6*g) - 2*g - 1 + 3*g + 3.\nAnswer: 37*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*v = -56 + 82, 0 = 3*v - 18. Let r(l) = -4*l**2 + 0*l - l - 2 + 2*l**2 + l**2. What is r(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37603 - 18798 - 4*h**3 - 18805.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00744 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-49))\/(14 + 7 + -20)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -364*n**2. Let l(r) = -17129*r. Give l(w(v)).\nAnswer: 6234956*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x**3 + 43*x**3 - 14*x**3 - 10*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 42. Let w = -13.99999964 + s. Round w to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-8)*366\/1647*316\/1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 519 - 819. Let s = i - -304. Solve -s*h = -2*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/sqrt(4)*5*-4)\/(-6*-2*sqrt(3) + sqrt(24)\/sqrt(2) + sqrt(3)))**2 + -2.\nAnswer: 190\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 443, 668, 895, 1124, 1355, 1588?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 - 84 = -2*u. Calculate the greatest common factor of 67 and u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(2 + 2 - 2)*(-287 - 17*i + 287)*(2 - 2 - 1).\nAnswer: -34*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-448)\/(-24))\/(-7)*33\/(-2). Which is greater: y or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108*q**4 - 40*q + 67*q**4 + 115*q wrt q.\nAnswer: -492*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -4e?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2807 + -1929. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 3 (c) 0 (d) -5 (e) -68\/45 (f) -3\/5 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 4 - a + 2*a**4 - 4*a**4 - a to p*a**3 + u + h*a**4 + w*a + r*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 29*y = 72. Let p(w) = -2*w - 7. Calculate p(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 5:17 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6 and 7\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 177345 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or -715?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*n - 13, 3 = 3*n + 3*t + 6. Suppose x + 3*c = n + 5, -3*x = 4*c - 14. What is the smallest common multiple of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -5, 3, 1 in decreasing order.\nAnswer: 3, 1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20682161?\nAnswer: 4129, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -10*f + 48. Let j be n(10). Let m = -47 - j. Suppose -5*u - 3*p + 25 = -192, -m*p - 181 = -4*u. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 35. Let i(h) = -1312*h**3 - h**2 + 10*h - 5. Let y be i(s). Round y to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - j, 6 = 25*a - 28*a - 5*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + -4 + (13 - 3) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uluuuuuuuuuuu. Give prob of picking 2 l and 1 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -f + c, -3*f - c = c - 400. Is f a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from {z: 3, m: 15, c: 2}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzw. Give prob of picking 1 w and 1 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12699092, 12699094, 12699096, 12699098, 12699100?\nAnswer: 12699102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*g*x*y - 7461*g*y**2 + x*y**2 + 3*x*y - 42292*y**2 + 3 wrt g.\nAnswer: -3*x*y - 7461*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 0 + 0*y - 7*y**2 + 17\/60*y**5 + 7\/12*y**4 + 0*y**3. What is the second derivative of p(n) wrt n?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22202210 (base 3) in base 8?\nAnswer: 14371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 - 1. Let f(t) = 5*t**3 + 6*t**2 + 34*t - 6. Determine -f(x) + 6*v(x).\nAnswer: x**3 - 34*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**8\/8400 + f**7\/600 + f**6\/300 - f**3\/6 - 27*f**2\/2 - 25*f. Let a(n) be the second derivative of j(n). Factor a(m).\nAnswer: m**2*(m + 1)*(m + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 12 - 11 - 1. Let i(l) be the first derivative of 19*l**3\/3 - 8. Determine i(k(w)).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 0*s. Let z be (4\/16)\/(s - 1\/(-12)). Solve -z*n - 14 = 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3 - (-190)\/1995)*(-29 - -1). Sort -14, 5, v in decreasing order.\nAnswer: v, 5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 589897 and 532322.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1365408 divided by 3168.\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -9*l - 495. Let z be u(-56). Suppose -4*f + 2*n = -594, 450 = 3*f - 3*n - 0*n. Suppose -f = z*o - 1110. List the prime factors of o.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, a: 2, b: 1, w: 2, u: 1}. What is prob of picking 1 u, 1 w, 1 b, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83149109 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 - 26*o**2 + 252*o.\nAnswer: 2*o*(o - 21)*(o - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 20*j + 108. Let y(f) = -7*f - 36. Let z(v) = 6*s(v) + 17*y(v). Is z(0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*g - 47*g - 67*g + 168*g - 25*g**2.\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)\/(v**4*v))**(-35)\/((v\/(v\/v**(-2\/5)*v*v)*v)**(-26)\/((v*v**(-6))\/(v**5*v))) assuming v is positive.\nAnswer: v**(2738\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 6*g**2 - 9*g - 60. What is y(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o**2 - 311*o - 62. Calculate y(31).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*c + 25, 2*c - 27 + 8 = -x. What are the prime factors of 46\/(-8)*(48\/c - 34)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*p + 50. What is the remainder when p is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-15) + (-5232)\/80. Let m = f + 75. Suppose -4*y = -17 - 3. Solve 15 = y*w - m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -136?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 43 - 505 = 0. What is the smallest common multiple of 183 and i?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5490277307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 658 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - -210?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 183 + 76. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -58634029?\nAnswer: -58634029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 6*m**2 - 6*m - 5. Suppose 3*c + 2*u = 5*u + 18, 4*u = -2*c + 18. Let s be q(c). Solve -s*d = 3*d - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 5*d - 48. Suppose -11*m + d*m = -39. Solve 5*j - 5*p + 5 = 0, 0*j + 5*p = j + m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1298212112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 - 73*p**2 - 45*p - 2423. Give f(-25).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 - 8*l**2 + 8*l. Let p be s(5). What is the highest common divisor of p and 1350?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(832) + -1)*-6)**2*1.\nAnswer: -59976 + 1152*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4050\/(-456) - 2\/24) + 9\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojjmmjjajootjjott. Give prob of picking 2 t and 1 a.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719247 > 1719251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -78*t - 77. Let r be n(9). Let w = r + 823. Calculate the highest common divisor of w and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3726 = 3909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u + 7*u**2 - 5*u**2 + 24*u + 16 + 11084*u**3. Let s be v(-16). Round s to the nearest 1000000.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 7 - 8 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55356.88 centuries to millennia.\nAnswer: 5535.688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 5) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4 - 4*h**2 + 12*h**3 + 0 + 1 - 3*h**3 - 10*h**3. Suppose -2*p + 1 = -2*m - m, -5 = 5*p - 5*m. Give i(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.41 - -1.41. What is the nearest to -2\/5 in -15, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -43 - 297. What is the remainder when 406 is divided by g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*(sqrt(7) + 0))**2.\nAnswer: -30*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52223659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 2, 1, -906, 3, 5.\nAnswer: -906, 1, 2, 3, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2 + 11*v - 12 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 700005 divided by 5?\nAnswer: 140001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-2*(-120)\/96. Let k be 6*(-8)\/2 - 4. Let i = k + 30. Solve -10 = 2*h - u*v, v + 5 = -i*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 8 (b) 0.048 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/2 - 9*b**4\/2 + 5*b**3\/2 + 45*b**2\/2 - 2*b - 18 = 0.\nAnswer: -9, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 25 = -3*n, -2*a + 19 = 2*n - 11. Calculate the greatest common divisor of a and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/(5\/(-20)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 743980*s - 138376560100.\nAnswer: -(s + 371990)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 9 = -5*z. Suppose 2*f + 10 = -0*f - 4*c, 0 = -2*f - 5*c - 14. Find the second derivative of -f*v + 5*v - v + 3*v - z*v**5 wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 675, 1\/12 in increasing order.\nAnswer: -0.3, 1\/12, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3502426, 14009705, 31521842, 56038837, 87560690, 126087401?\n\"Answer: 3502429*a**2 - 8*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1845 = 2*c, -2*c = -2*x + 6*x + 1476. What is the tens digit of x\/(-21) - (-6)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/7 + 103*u**2 + 15378*u\/7.\nAnswer: u*(u + 22)*(u + 699)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 32. Give t(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159629605?\nAnswer: 5, 41, 778681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101101 + 111010?\nAnswer: -10110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*q + 10 = 0. Suppose q*u - 6*u - 2*r = -16, 3*u = -2*r + 11. Solve -v = -u*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 1\/4, -2, 1\/170?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n**2. Let j(z) = -z**3 - 3*z**2 - 4*z - 1. Give -j(v) - 3*u(v).\nAnswer: -2*v**3 + 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20321041 (base 6) to base 12\nAnswer: -243181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 274, 320?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10 + ((-2718)\/(-10))\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u**3 + u)*((-5 + 5 - 2)*(0 - 1 + 3) + 1 + 0 - 3) + (-2 + 0 + 1)*(u**3 + 0*u**3 + u**3).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 6*o + 48 = 0. Suppose o*m = 6*m - 6. What is the units digit of (m - (-2 - 0)) + 73?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 50*a - 130. Let m(c) = -15*c - 35*c - 60 - c**2 + 191. Suppose 83*x - 85*x = -10. Let v(q) = x*m(q) + 6*n(q). What is r in v(r) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -197*b - 1668. Is y(-10) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38484000000 = -49*w - 34*w + 308*w. Round w to the nearest one million.\nAnswer: 171000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354 divided by 4?\nAnswer: -677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1023481711 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 81\/2, -0.3, -1\/2, 48?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgsshsghsssslsh. What is prob of sequence sglg?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 1) + -1 - -6. Suppose 0 = q*j - 0*j - 144. Suppose 3*z - j = -0*z. Calculate the remainder when 62 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 4*z - 4*z + 3*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -0.9767.\nAnswer: 13.6738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -78. Suppose -4*n - 3 + i = 0. Solve n*t + y - 4 = 4*t, 3*t = y - 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + -0.11. Let y = a + 0.22. What is the closest to y in 2\/5, 2\/19, -0.4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -256, -3 in decreasing order.\nAnswer: 0, -3, -5, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 856288933?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18307*d - 1424*d + 1685*d to the form l + z*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -29*r**3 + 4*r**2 + 5*r + 11. What is the hundreds digit of w(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001010003 + -2?\nAnswer: -1001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by 2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 308 = -1132. Suppose -3*w + 1 - 10 = 0, -4*w = 3*y - 1095. Let j = y + d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 560 = 600. Suppose 4*d - 8*d + g = 0. What is the remainder when d is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*2\/8*-2. Let l = -40 + 51. Let r be 3\/l*96\/9 + -3. Which is the third biggest value? (a) -0.5 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1434 + 3275. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 4. Let j be 86\/8 - 3\/(-12). Suppose 0 = g - 4*z + 3, j*z + 48 = 5*g + 12*z. Let i(b) = 4*b - 8. Calculate g*r(f) - 4*i(f).\nAnswer: 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27455823?\nAnswer: 3, 271, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4de1f2 (base 16) to base 13\nAnswer: -10992b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*c**4 - 108670*c**3 + 436300*c**2 - 436840*c = 0 for c.\nAnswer: -21842\/27, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737 is divided by 119.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 2873?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000144036 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810419 is divided by 776.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 1405834. Let f(x) = -48*x. Calculate j(f(q)).\nAnswer: 2304*q**2 + 1405834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 37*r + 82550. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13845, 13853, 13861, 13869, 13877?\n\"Answer: 8*k + 13837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 + d. Let c = 45 - 44. Let w be m(c). Suppose -4*u - 20 = -9*u. What is the highest common factor of u and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3751, -3599, -3405, -3163, -2867?\n\"Answer: l**3 + 15*l**2 + 100*l - 3867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(65)*6 - sqrt(65)) + sqrt(65))\/(-6*sqrt(15)\/sqrt(3)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5060512 < 20242049\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 6*g + y - 10, -12 = -3*y. Suppose -1 = 2*m + g, -4*b + 3*m = -8218. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 15. Let z be o(0). Find the second derivative of 2*i**4 + 0*i**4 - z*i + 25*i wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 13, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {j: 1, z: 1, g: 2, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 121210201221112 (base 3) to base 11\nAnswer: 504aa46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -7, -6, -0.03, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/6)\/(1\/(-4)). Let k be (-18)\/22 + c\/(-11). Let j be 24\/(-9)*k*3. Solve 3*h - 4 - j = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x**3 + 103*x**2 + 28*x - 15. Calculate a(15).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -20, 5*w - 63 + 0 = -z. Let u = -38 + z. Solve u*y = 5*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpdolllpj. Give prob of sequence lppd.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -10. Let v(q) = 4*q. Let c be v(l). Is 8 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/6)\/((-3)\/(-30)). Solve 1 = p*a - 2*r, 2 = -r + 2*r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1175 divided by 12258.\nAnswer: -1175\/12258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*l - 5*w + 22, 35 = 5*l + 2*w. Suppose -l + 16 = 3*h. Let f(u) = -3 + u**3 - 2*u**2 + 0*u**3 + 0*u**2. Give f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.99 - -4. Let j = l + -0.11. Sort 0.2, -2\/9, j in increasing order.\nAnswer: -2\/9, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from rrrxxxrrrprrprrxpprr?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -20. Suppose 2*v + 4 = -d, 4*d + 5*v = -r - 1. Suppose 4 + d = i. Calculate the least common multiple of 8 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 44*y + 2. Let a be d(2). Let q(m) = m**3 - 8*m**2 - 9*m + 10. Let v = -11 - -20. Let c be q(v). What is the highest common divisor of a and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2586 and 0.2.\nAnswer: -517.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 10088240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -345 - -a71?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -25. Suppose -q*z = -4*z + 7560. Let g = z - -14390. What is g rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 15*r + 24. Let p be z(-14). Which is smaller: p or 12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*h*r**2*y**5 - 4*h*r*y - 9*h*y**2 - 3*r**2 - 4 wrt y.\nAnswer: 260*h*r**2*y**3 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 14) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 7*v**2 + 5*v - 1. Let f be j(-6). Suppose -5*m = -2*k - k + f, -k + m + 1 = 0. Solve i + k = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 1443633542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7719, -15714, -23709, -31704, -39699?\nAnswer: -47694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*a + 40*a - 17 = -n, 4*n = 4*a + 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10162 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*v + 9 = -128*v. Solve -v*y + 15 = -6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -5. Let v = 1.6 + i. Which is the third smallest value? (a) 0 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5514514223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34100 + -24921\nAnswer: 9179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m + 39*m + 5*m + 79 + 35. Let g be f(-3). Solve 0 = 3*k + 2*r + 13, -5*k - g - 2 = -5*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**7\/840 - u**6\/360 - 3*u**3 + 7. Let h(k) be the third derivative of s(k). Determine f, given that h(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*y - y + 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 485 = 34*q - 27*q, 2*l - 5*l - 5*q = -q - 293 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**3 - 4*t**2 - 3*t + 2. Let w(g) = 4*g**2 + 11*g - 8 - 20*g**3 + 2*g**2 + 11*g**2. Let p(s) = -18*b(s) - 4*w(s). Factor p(o).\nAnswer: -2*(o - 1)*(o + 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -543268 or -135?\nAnswer: -543268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**3 - 3*y**2 + 6*y - 6. Let k be c(-6). Let u = -152134 + 255280. Suppose 0 = -5*m - k + u. Round m to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -0.1, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -5*r**6\/36 + r**5\/2 + 115*r**4\/24 - 125*r**3\/6 + 125*r**2\/6 + 3163. Solve d(n) = 0 for n.\nAnswer: -5, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1837*p + 18556 = 186 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 11 = -d, -8081*n = -8079*n + 2*d - 26 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119) - sqrt(119))*3)\/(sqrt(847)*-3)*-5.\nAnswer: 5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - -1010101001110?\nAnswer: 1010101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/42*3*(-20)\/70.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m. Let x be q(10). Let i = -25 - -35. Calculate the greatest common factor of x and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38936194 by 38936194.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 223205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*h + 67*h - 6*m = -m - 77, 4*m = -8*h - 292 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let d(c) = -275771*c**2 - 11*c - 7. Calculate d(z(x)).\nAnswer: -275771*x**2 + 11*x - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7917 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2622 + 2639. Let y = -126 - -313. What is the highest common factor of i and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 38\/9 (b) 1 (c) -13\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*n = 3*l + 4, n = 4*l + 13. Suppose -r + 8 - 24 = m, 15 = -3*m. Let s = 6 + r. Sort s, 4, l, 5 in increasing order.\nAnswer: s, l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 2*y - 3. Let k(x) = 0*x + x - 2*x + x**2 + 2. Let p(c) = -11*k(c) - 6*z(c). Is 16 a factor of p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -4*w**3\/3 - w. Let h(r) = -7*r. Suppose -7*t = -2*t - 5. Let a be t*-1 + -12 + 8. Determine a*i(y) + 6*h(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - (sqrt(300) + sqrt(300)*1) - sqrt(300))) + -2*(sqrt(3) + sqrt(3) + 0) + sqrt(3))**2.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63\/118 + -2\/59. Let s(u) be the second derivative of f*u**3 + 2*u**2 + 0 - 3*u. What is s(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8*z - 31. Give j(13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1889*o**3 + 1120*o**3 - 848*o**3)*((2 - 2*o - 2)*(0 - 3 + 1) - 2*o - 2*o + 3*o + 0*o - o + 3*o + o + 0*o - 2*o).\nAnswer: 8644*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 6*n - 288. Suppose -4*o + 995 = 195. Suppose -d = -5*g + 3*d + 245, 4*d + o = 4*g. Calculate the remainder when g is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 - 25*y - 46. Calculate the remainder when a(-2) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2)\/((-10)\/(-20)). Let k(y) = 2*y**2 - 2*y + 10. Let m be k(x). Suppose 189 = 5*h - 3*v, -h - 5*v + m - 1 = 0. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 + 2*z**2\/7 - 41*z\/7 - 6.\nAnswer: (z - 6)*(z + 1)*(z + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 254?\nAnswer: 13\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 n, and 1 x when four letters picked without replacement from {j: 8, n: 2, x: 5, i: 4}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 - 2*u**2 - u**2)*(138*u - 763 + 3703 - 137*u) in the form z*u**3 + i*u + w + t*u**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/228 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 + 2*p - 9. Let a be z(4). Let u = 633 - a. Let c be u\/117 - 2\/(-9). Solve 2*v = -2*v - c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**5 - 57657*x**4 - 690*x**2 - 4*x + 1.\nAnswer: 60*x**2 - 1383768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500*p**3 - 10098*p + 10098*p.\nAnswer: -500*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11159 divided by 11407\nAnswer: 11159\/11407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415641634 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdkd when four letters picked without replacement from {k: 6, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892500561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7 + 246?\nAnswer: 14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/22680 and 137\/4536.\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(-2\/11))\/w)\/w**(2\/21))\/(w**6\/(w*w**(-6))))**(-15\/7) assuming w is positive.\nAnswer: w**(12605\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -5*g. Let r(w) = -824*w**2 + 2*w + 5. Give c(r(k)).\nAnswer: 4120*k**2 - 10*k - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*l + 444*l + 9 - 9.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (704 - -7)*(-140000)\/21. Round u to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) 1 (b) 1\/8 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s**2 + 2*s + 1. Let w be v(-1). Suppose 5*r = w, -2*b - 3*b + 16 = -2*r. What is the second derivative of -4*h + h + h - h**b wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43370 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*-3*(-12)\/189?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -64, -104, -164, -250, -368, -524, -724?\n\"Answer: -q**3 - q**2 - 16*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69385317.\nAnswer: 3, 449, 51511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -27*a**2. Let k(v) = 5*v**2. Calculate k(n(o)).\nAnswer: 3645*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m + 25 = 0. Suppose 8 - 87 = -5*b - 3*h, -m*b + 4*h + 58 = 0. Is b >= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2906*y - 42. Let m be h(-2). Round m to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000100111101110 (base 2) to base 11\nAnswer: 170954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/110 and -5\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -8. Let o = m - -30. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/56 + -1 + (12 - 8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3699*u**3 - 274*u**2 + 3077491*u + 14 wrt u.\nAnswer: 22194*u - 548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 19*y - 14. Let u be c(18). Find the second derivative of -6*i + 11*i + 9*i - 4*i**4 - 9*i**u wrt i.\nAnswer: -156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2734225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672 divided by 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**3 + 7*a**2 + 3*a - 2. Let y(o) = 4*o**3 + 4*o**2 + 2*o - 1. Let z(q) = 6*w(q) - 10*y(q). Solve z(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 9*a - 5*s + 18 = 0, 2*a = -3*s + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20528 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*d + 539487 - 540383 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = -3*a + 8, 4*a = 2*x + 16. Suppose -8*o + 9*o - 2 = 0. Suppose -o*i + 80 = a*i. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**5\/240 - 5*o**4\/48 - 11*o**3\/24 + 40*o**2 + 2. Factor c(z).\nAnswer: (z - 11)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 4 - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5337 - -5423. Solve -3*x = t - 107 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m**2 + m**2 + 0*m**2)*(12*m - 23*m + 23*m)*(4 + 0 - 34) in the form b*m + x*m**2 + u*m**3 + n and give u.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31476 + -31477. Put 16, 5, 103, h in increasing order.\nAnswer: h, 5, 16, 103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 6:15 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*((-44)\/(-11) + 3). Let j(s) be the first derivative of -s**3\/3 - 4*s**2 + 3*s - 5. Give j(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -227 - -378. What is the remainder when i is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02551 and 4643?\nAnswer: 118.44293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {p: 2, q: 2, w: 1, d: 1, h: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 882 + (-4 - 56\/(-7)) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 7:48 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 3:40 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -350681*0.1\nAnswer: -35068.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d - 15. Suppose 32 = d*z - 53. What is the highest common factor of z and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -10979, -1\/7, 1\/3, 8, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 4*z - 5*p - 5, -3*p = -5*z + 11. Is -6\/133 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2\/68*1). Let r be (1 - 1 - 1) + c. Suppose 4*f = f + r. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -31*k + 82. Let s be m(-10). Let v = 397 - s. Solve 0 = 4*f + f + v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 176857*z**2 + 9193807*z - 9370665.\nAnswer: (z - 1)*(z + 53)*(z + 176805)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 10, 0*w = -w + 5*z + 23. Let v = 1 - 1. Let s be 1\/(-7) + (-117)\/(-182). Which is the nearest to s? (a) w (b) 2\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39718 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30570348239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8660 (base 10) to base 7.\nAnswer: 34151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.31 + -0.31. What is the closest to -0.1 in o, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -9, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 5750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-18))\/(48\/(-9) + 5). Which is the biggest value? (a) -2\/7 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -11160, -0.9, -1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 2*u + 17. Let y be p(6). Suppose -d - y = -4*d + 5*o, 3*o - 93 = -3*d. Is 6 a factor of (2\/4 - 0)*d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*g - 1383 - 325 = 0, 0 = -b + 3*g + 853. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 941, 7495, 25289, 59945, 117085?\nAnswer: 202331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/4 and -3\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20 + 12)\/(0 - 2). Suppose 2*n = -0*j - r*j + 136, -2*j = -2. Suppose -n*y + 20 = -61*y. What is the smallest common multiple of 5 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:34 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 divided by 421?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2 - (-3 + 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 28 - 36. Let r = h + -2. Is -42\/11 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 45 = 33 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = k + 2*a - 2, -5*k - 2*a = -20. Suppose -7 = -k*m - 15. What are the prime factors of -6*m\/120 + 664\/5?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -116*c. Let h(n) = -16*n + 101925 - 101925. Determine a(h(t)).\nAnswer: 1856*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 23*j - 133 = 0. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12213 (base 4) in base 6?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 450 = 76. Suppose -3*w = q - 28. Solve w*r - r + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**0)\/o)**(-10\/3)\/(o\/o**(-1)*o**(3\/2)))\/((o**(2\/5)\/o)**33*(o**(2\/7))**(6\/7)) assuming o is positive.\nAnswer: o**(7867\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -33. Suppose w - 50 = -5*f - 3*w, 5*f + 5*w - 55 = 0. What is the lowest common multiple of -3*2*(-22)\/x and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -62*v - 1. Let g be q(-2). Let r = g - 983\/8. Let l = 6421 - 6416. Sort -0.5, r, l.\nAnswer: -0.5, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 5*k + 2*k)*(-1 + 2 - 2)*(-1 + 13*k - 11 + 8) - 5*k**2 + 4*k**2 + k - 3*k.\nAnswer: -27*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**3 + 6*t**2 + 5. Let a(f) = f**3 - f**2 - 1. Calculate 6*a(j) + o(j).\nAnswer: j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5299 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001110110011 (base 2) to base 14.\nAnswer: 4b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + 123440211?\nAnswer: 123440232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 22. Let t be a(-11). Let o(b) be the first derivative of 1\/16*b**4 + 0*b**2 + 0*b**3 + 1\/20*b**5 + 2 + t*b. Determine i so that o(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 + 86 + 7)*(-155 + 155 - 9*d**2).\nAnswer: -1521*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -578061 (base 13) to base 4\nAnswer: -13322112333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586*z**4\/9 - 9388*z**3\/9 + 16472*z**2\/3 - 9488*z + 192 = 0. Calculate z.\nAnswer: 6\/293, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**6\/10 - 49*q**5\/4 - 21*q**4\/2 + q**2 - 2722*q. Find the third derivative of w(k) wrt k.\nAnswer: 72*k - 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 140*d**2 + 1067*d - 5549. Give w(147).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 + 3653407*p**3 - 3336843850206*p**2 - 3336854810432*p + 6673695007232 = 0.\nAnswer: -2, 1, 1826704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-7))\/((-2)\/(-14)). Suppose 0*g + n*g - 6 = 0. Is g smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 2*j**4 + 0*j**4)*(-18 - 10 + 2) - j**4 + 0*j + 0*j.\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 165811, 332162, 498513, 664864, 831215?\n\"Answer: 166351*t - 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((-19)\/(-3) + -7))*(21450\/52)\/(-11)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*n + 363, 27*n + 228 = 30*n + 4*z. What is the highest common factor of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20591356 and -3.\nAnswer: -61774068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 373 = 30*h - 1595 - 1001 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000158019365 rounded to 6 dps?\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244647 + 52?\nAnswer: -244575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 0. Let j = -34 + 47. Let v = z - j. Which is the nearest to -1? (a) v (b) -2\/11 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7862, -31284, -70298, -124904, -195102?\nAnswer: -280892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*h**5 - 25*h**4*t + 35*h*t - 4*h + 2 wrt h?\nAnswer: -620*h**3 - 300*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/4678 = -205.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**9)\/t)\/t)\/t**8*t**(-26)\/(t\/(t\/(t*t**8*t)*t)) assuming t is positive.\nAnswer: t**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.06 + -1. Let h = -243 - -243. Put h, q, 0.4 in decreasing order.\nAnswer: 0.4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 81*v**4 - 150*v**3 + 10374*v**2 + 62361*v - 72501 = 0. Calculate v.\nAnswer: -13, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -3)*(-4)\/(-4). Let d be ((-5)\/2)\/j*0. Solve d = -3*b - 3*w, 3*b + 0 = -5*w + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 468 = 2*c - 327, 2*q - 1594 = -4*c. Suppose c = 4*n + 107. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 789, 771, 753, 735, 717, 699?\n\"Answer: -18*p + 807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgqa when four letters picked without replacement from {g: 4, y: 1, m: 3, a: 5, q: 1, i: 6}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178867 to the power of 1\/2, to the nearest integer?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3\/7 + 7188*w**2\/7 - 6756408*w\/7 + 272028240 = 0.\nAnswer: 642, 2310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-2)*(-6)\/(24\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 45 = -6*d. Let x = -43 + d. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -2, -2\/3, 15\/4 in ascending order.\nAnswer: -38, -2, -2\/3, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009649023 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22236 - -4?\nAnswer: 22241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 + 266.9. Let h = 42 - k. What is h rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -544 + 6*q + q**2 + 999 - 540. Does 2 divide m(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -86, -126, -166, -206, -246?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*5840\nAnswer: -4672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -76, -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**2. Suppose -5*z + z = -28. Let t(u) = 7*u - z*u - u. Give v(t(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000321978853 rounded to seven dps?\nAnswer: 0.0000322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 2*h**3\/63 + 4*h**2\/21 + 8*h\/21 + 961. Factor n(s).\nAnswer: 2*(s + 2)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + c + 1. Let v be ((-1)\/3)\/(352\/1056). Let b(n) = n**3 + 2*n**2 + 28*n - 2. What is v*b(m) - 2*o(m)?\nAnswer: m**3 - 2*m**2 - 30*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2210 + 4532502?\nAnswer: 4530252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pagppllpgappg. What is prob of sequence pl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42942082?\nAnswer: 2, 21471041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1086*n - 2778*n - 2854*n + 1622*n - 93*n)*(n + 2*n - 5*n).\nAnswer: 10378*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -712952 divided by -452.\nAnswer: 178238\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 5) + 1 + 4)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-566566)\/(-20))\/13*-2. Let t = 130927\/30 + k. Let m = 84709\/21 - 4035. Calculate the common denominator of t and m.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1717 times 1.4\nAnswer: 2403.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-28)*4 - (-20)\/(-35). Let q be ((-4 + n)*-1)\/((-6)\/(-4)). Suppose -a = -2*d + 133, 2*d - 47 = q*a + 77. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 514300 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 0 - -6654 - ((2 - 2) + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7117.93 rounded to the nearest ten?\nAnswer: -7120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18870 divided by -1258.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/(-12)*(-4)\/7. Suppose 6 = -d*k - 2*q + 14, 0 = -q. Suppose -1231 = -k*l - o, 5*l - l - 4*o - 1216 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009728981 rounded to 5 decimal places?\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 5. Let z be l(0). Let v(m) = m. Let w(x) = 3*x. Let s(f) = -7*v(f) + 3*w(f). Let n = -8 - -5. Let o(i) = -i. Determine n*s(u) + z*o(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 836498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 249, 799, 1849, 3561, 6097, 9619, 14289?\nAnswer: 20269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90588, 90725, 90968, 91371, 91988, 92873, 94080?\nAnswer: 95663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0310368 + -0.031. Round t to 6 decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3 + (-2 - (-16)\/(-10))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 1. Suppose -13*k - 4 = 35. Let g be f(k). Solve g*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-24) + (-18)\/40.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1016 or -1018?\nAnswer: -1016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {t: 4, v: 6}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 708234660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2. Suppose 3*b + 42 = 3*y, 2*y + 5*b = -2*y + 65. Suppose 1 = -7*w + y. Let i(a) = 11*a**w - 3*a**2 + 2*a**2. Determine d(i(o)).\nAnswer: -200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1866, -1821, -1790, -1779, -1794, -1841, -1926?\n\"Answer: -v**3 - v**2 + 55*v - 1919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x - 4*x)*(0*x**4 + 2*x**4 - 3*x**4) + 5*x**5 - 2*x**5 - x**5 + (-2*x + 0*x + 3*x)*(4*x**4 + x**4 - 4*x**4) - x**5 + x**5 + 4*x**5.\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 11) to base 3.\nAnswer: -101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 210*z + 28. Let m(d) = 38*d + 5. Let k(i) = -28*m(i) + 5*s(i). Let w(l) = -6*l. Determine k(w(p)).\nAnswer: 84*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2669 + 14*i**3 - 2669 - i + i.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 + 112 - 228 - 18*o + 8.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.8 in -4, -2, 9, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(968) + -2*sqrt(968))\/sqrt(4)*-6.\nAnswer: 198*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-8) - (-22041)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daka when four letters picked without replacement from {a: 2, k: 2, d: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 120399 = 3*o - o, -4*o + 240812 = -4*z. What is the thousands digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3*g = 42, 8 = -279*r + 277*r - 2*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 - 9*z - 7. Let j be i(-7). Find the common denominator of (-266)\/(-21)*5\/(j\/(-18)) and -50\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 786 = -4*m. Let s = -115 + m. Round s to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 852478831?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1, 20414, 0.5 in descending order.\nAnswer: 20414, 0.5, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -2*s**7\/5 + 12*s**3 - 105*s**2. What is the first derivative of f(q) wrt q?\nAnswer: -336*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*d = 890600, 4*x - 609216 = -3*d + 103263. Let j = -28481 - x. Round j to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 29*t + 10*t - 13*t. Let x(h) = -7*h - 6. Let z(o) = -17*o - 15. Let f(l) = -5*x(l) + 2*z(l). Calculate p(f(b)).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.148 + 0.012. Let b = 0.27 - c. Let u = b + -0.110155. What is u rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*l - 74, -4*o + 54*l - 59*l + 106 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**2 + 3*a**2 + a**2 + (-3*a + 2*a + 2*a)*(0*a + a - 3*a) + 1259*a**2 - 408*a**2 + 1351*a**2 + 591*a**2 in the form x*a**2 + b*a + y and give x.\nAnswer: 2790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16889.\nAnswer: 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4791181951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/8399?\nAnswer: 2\/8399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 20*i - 2. Let g(u) = 10*u + 1. Let d(l) = 2*g(l) + p(l). Let z(r) = -76*r**2 + 1. Determine d(z(k)).\nAnswer: -5776*k**4 + 152*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -2 (c) -11 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -22 (b) 2\/19 (c) -1377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293091*b**2 - 1051*b + 293070*b**2 + 1053*b.\nAnswer: -21*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/57 + 87052\/304. Let t = 278 - v. What is the third smallest value in 0.2, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.3, 72, 0.8, -2 in increasing order.\nAnswer: -2, -1, -0.3, 0.8, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-15 + 28 - -4) + 67.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(17) - sqrt(17))**2 + 4)*-2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 2\/9, 3, -531?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 6.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 23. Suppose -7*g + 78 = u. Calculate the smallest common multiple of 6 and ((-21)\/g - (-2)\/(-3)) + 25.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(17) - ((sqrt(2057) + -1 - sqrt(2057)) + sqrt(2057)) - sqrt(17) - (3 + 1 + sqrt(17))) + 1))**2.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -2.2, -12, -3 in increasing order.\nAnswer: -12, -5, -3, -2.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -547.8 + 548. Suppose -3*j = -8*j + 10. Let l = -2 + j. What is the nearest to l in n, -3\/4, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 23 - 2 = 0. Let n = 0.3 - -1.7. Which is the third biggest value? (a) -3 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394320 is divided by 4640?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i**3 + i - 2. Let q be p(1). Let t be 3\/((-12)\/8)*q\/(-16). Which is the closest to -0.06? (a) t (b) -0.4 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7327 - -7588. What is the smallest common multiple of 45 and i?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447348538 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 62, 106, 152, 200, 250, 302?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*5 - sqrt(1331))**2 - sqrt(11)) + sqrt(176) + -4 - -3*(4*-6*sqrt(66) - sqrt(66))\/sqrt(6).\nAnswer: -72*sqrt(11) + 21292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 342 + -340. Suppose c - u*n - 522 = 0, -5*c - n - 4*n = -2550. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8470, 8471, 8472, 8473?\n\"Answer: h + 8469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -367*r + 301 + 751 = 318. Suppose 0 = f - 4*f + 15. Solve -r*n + f = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -2*v**4 + 37\/75*v**5 + 0*v - 1\/15*v**6 - v**2 + 0 + 24\/5*v**3 + 2\/525*v**7. Factor l(h).\nAnswer: 4*(h - 3)**2*(h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4948247?\nAnswer: 4948247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*y + 13, 0 = 2*y - 2*w - 9 - 9. Suppose 3*i = -i - y*t + 75, i - 17 = -3*t. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*s + 3, 2*b + 3*s + 9 = 0. Let x be 12\/9*b\/(-4). What is the smallest common multiple of 14 and x\/(-3)*6*-4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 4. Let m be r(3). Let u = 4 + m. Does 12 divide 1*1*99\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12, -55813, 7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 l when four letters picked without replacement from llllillillllillllli?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 84, 86, 80, 60, 20?\n\"Answer: -f**3 + 2*f**2 + 3*f + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 + 63. Let l = -8 + v. What is the second derivative of 0*p + l*p - p - 18*p**3 wrt p?\nAnswer: -108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = -53. Let s(p) = -p**3 + 8*p**2 - 11*p - 1. Let l be s(3). Suppose l*k = 4*k + n. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 73 = 2*s - 249, -440 = -5*s - w. Let k be 205\/(-20)*10*40\/(-25). Suppose 4*n - k = -4*v, n + n - v = s. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.4 (b) -0.2 (c) 978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 43*u + 1. What is the units digit of k(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-567)\/14*(-19)\/171)\/(1\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/5 of a litre in millilitres?\nAnswer: 4400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*1*3 + sqrt(88))\/sqrt(8).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239107, 239111, 239113, 239113, 239111?\nAnswer: 239107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.5 and 0.064.\nAnswer: -2.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 9*o**2 - 106*o + 47. Calculate s(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (-42 + 6)) + (-3 - -8 - (8 + 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 18 - (2 - (-5 + 9))) + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17555, 17607, 17695, 17819?\nAnswer: 17979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 187131.789us in days?\nAnswer: 0.0000021658771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/2)\/(v*v**(-2\/5))*(v*v\/(v*v\/v**(19\/5)))\/(v**(-5)*v))**(5\/11) assuming v is positive.\nAnswer: v**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-6)\/9*-9). Let i = 11 - 9. Let s = i - 12\/7. Put x, s, 1 in ascending order.\nAnswer: x, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6*k + 6594 = 0, -3*n + 3*k = -2452 - 4151. Is n a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1323*b - 2110*b + 400576 = -2618*b - 2721*b for b.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21f (base 16) to base 14.\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-68*78\/10608)?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/5*10\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 66, 242, 582, 1140, 1970, 3126, 4662?\nAnswer: 6632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -1 - (-2)\/(-8). Let h = 142393\/85434 + -1\/28478. Which is the third biggest value? (a) h (b) 0.07 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d. Let l(b) = 777*b. Give l(y(v)).\nAnswer: 5439*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + 0*v**3 - v**3)*(-v - 1 + 1) + 8*v**3 - 3*v**4 - 8*v**3 + (-v**3 + 3*v**3 - 4*v**3)*(0*v + 3*v - 2*v) + v**4 + 3*v**4 + 9*v**4.\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l - 4*f + 6, 39 = 4*l + 5*f. Let b = l - 8. Let t(o) be the third derivative of o**5\/30 + 5*o**2. Determine t(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 - 13) + 17 - -3. Suppose 0 = w - 16*k + v*k - 81, -w + 5*k + 82 = 0. What is the greatest common factor of w and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-4 + 6 + -15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 843.054 centimeters?\nAnswer: 0.00843054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/63*9\/((-18)\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12*o**2 - 4*o - 3. Let y be f(-2). Suppose y = -4*h + 5. Sort -4, 3, h in decreasing order.\nAnswer: 3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/7197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -119, -273, -507, -839, -1287, -1869, -2603?\nAnswer: -3507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111001 (base 2) in base 11?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703816.5 meters to nanometers.\nAnswer: 703816500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i - 1375 + 6787 = -75*i for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r - 1 + 1 + 48*r in the form x*r + k and give x.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c350 (base 15) to base 12.\nAnswer: -6a570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 3 - 3)*(4 - 1 - 4 + 2 + 3 - 4 + (-1 - 3 + 2)*(-1 + 2 + 0))*(4*d**4 - 4*d**4 + 6*d**4).\nAnswer: -12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10169*r**3 - 8743*r**2?\nAnswer: 61014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30088 - -4?\nAnswer: 30103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3*p + 175 = 193, 0 = 5*u - 6*p - 34 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82133 is divided by 254?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100 + -110001111010?\nAnswer: -110100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4 + 6*w**3 - 162*w**2 + 594*w - 648.\nAnswer: 2*(w - 3)**3*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2819238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 6*d**3 + 15*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/2, -10493, 1.14 in decreasing order.\nAnswer: 1.14, -19\/2, -10493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/90*(-36)\/(-24)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103391, 107263, 111135, 115007, 118879, 122751?\nAnswer: 126623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4843.004 + -4843. Which is smaller: r or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052116021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5\/(10\/88) + 2 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-25))\/((-36)\/18*18\/(-75))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 952*p**5\/5 + p**3\/3 - 752*p - 3454. Find the third derivative of h(j) wrt j.\nAnswer: 22848*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 4*g, 0 = -d + 5*g + 38 - 42 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 15*m**2 - m - 1. Suppose -31 - 9 = -5*b. Calculate the lowest common multiple of j(-2) and b.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72081583*f**3*r**3 + f**3*r - 3*f**3 + 50*f**2*r - 158*f*r**2 + 7*f wrt r.\nAnswer: 432489498*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -937 * 5.\nAnswer: -4685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 15. Suppose -25*o = -t*o - 9240000. What is o rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-6 - -10)) + -10 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/4, -167, 351, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 14349 = d + 14364, -3*q + d = -0*q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.96 - -0.04. Let b = -2196 - -2196. What is the nearest to 1\/4 in 0.4, r, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -7. Solve f*u - 20 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 80*a - 58. Let p be x(3). Which is greater: p or 1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g**2 - 8*g + 37. What is t(-14)?\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*n**2 + 33*n + 289*n**2 - 69*n - 504 + 36*n.\nAnswer: 17*n**2 - 504","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97658 - 55999. What are the prime factors of r?\nAnswer: 41659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*f - 2 - 3, -f = 0. Let t(q) = -2 - 10*q**2 + l*q**2 + 7*q + 4*q**2. Calculate t(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*a - s, -4*s = 3*a - 0*s - 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m - 119. Let z(q) = q - 40. Let p(u) = 2*d(u) - 7*z(u). Does 3 divide p(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 12*w - 12. Let x be z(-13). Let t = -14 + 26. What is the least common multiple of -33 - -52 - -1*x and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/5210 and 21\/190.\nAnswer: 98990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 0 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 118481680.8 nanoseconds in weeks?\nAnswer: 0.00000019590225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2*r**3\/51 + 122*r**2\/17 - 242*r\/17 - 227. Suppose l(p) = 0. What is p?\nAnswer: 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - 2*b + 2*b)*(-3 - 11 - 2 + 2*b) to the form j*b + c*b**2 + k + a*b**3 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 2552.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 7*a - 16. Suppose 0 = -4*q - 0*q + 2*f - 274, -5*q - 355 = -5*f. Calculate the common denominator of 34\/9 and (8\/6)\/(a\/q).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -104, 26, -137, -7 in descending order.\nAnswer: 26, 2, -7, -104, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1660*y**2 - 3175592*y - 22956.\nAnswer: -4*(y + 1913)*(415*y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) 3.1 (c) 59\/5 (d) -4 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) -3\/32 (c) 0.1 (d) -0.7 (e) 4 (f) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10294 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/2)*h\/(h**(-4\/13)*h)*h**(-1\/7)\/((((h\/((h*h**(-5))\/h))\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-425\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*-1*sqrt(832)*-3*-1.\nAnswer: -192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (18 + -22 - (-5 + -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 256396.9963 + -256447. Let p = 79 + -29. Let s = p + o. Round s to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, -213, 3\/10, -0.3 in ascending order.\nAnswer: -213, -4, -0.5, -0.3, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 2\/85*z**5 + 13*z + 0*z**3 + 1\/34*z**4 + 0*z**2 + 0 - 1\/51*z**6 - 2\/357*z**7. Suppose w(g) = 0. Calculate g.\nAnswer: -3, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -492, -3412, -11358, -26850, -52408, -90552, -143802, -214678?\n\"Answer: -420*g**3 + 7*g**2 - g - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23659.\nAnswer: 59, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 31869 = 63985 - 6604. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 82*i + 72*i + 86*i - 352*i + 92*i. Let o(z) = -4*z - 44. What is o(l(g))?\nAnswer: 80*g - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 120 (b) -4 (c) 1\/3 (d) 185 (e) 2 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*v + 6612 = -255*v. Solve 0 = -2*d + 214 - v for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 114*h**2 - h + 1. Is 38 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.4089.\nAnswer: 0.4089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1511, -28.8, 24?\nAnswer: -1511","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = 20*f + 121 - 465 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 + 5)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-22*h - 20*h + 37*h + 5).\nAnswer: -5*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2343 - -1142. What is the tens digit of 38\/(-209) - v\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4250064 and 186004.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 7*j + (-1 + 2 + 0)*(3*j - 2*j + 0*j) + 0 + j + 0 + 0 + 0 + 2*j - 1 - j + 1)*(0*j + j**2 + 0*j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:26 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_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: Is 5223457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 110529 = 9*f - 551907. Calculate the greatest common factor of 126 and f.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y + 4. Let s(x) = -1352*x + 2724*x - 1346*x - 5 - 4. What is -5*m(n) - 2*s(n)?\nAnswer: 13*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 + 7406*p - p**2 - 7406*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((872\/(-9156))\/((-100)\/(-35))).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 2*o**2 - 4. Let p be v(-3). Let i be (99\/(-18) - -6)*2\/3. Which is the nearest to -1? (a) 3 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 86*i + 335. Calculate u(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 414793328 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 273704?\nAnswer: 1915928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -450*n - 4696 - 4304 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69442.9ng to micrograms.\nAnswer: 69.4429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 4. Let n(w) = -2*w + 3. Let v(m) = -4*n(m) + 3*s(m). Let t = 15 - 11. Let f(y) = -t*y**2 + 4*y**2 + 3*y**2. Give f(v(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-4 - -10) - (-5 + (15 - 5)) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/12 and 3\/104782?\nAnswer: 628692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*i - 8. Suppose 15*d - 2*d = -117. Let j = 758 + -754. Which is the closest to d? (a) j (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (78\/(-12)*2)\/(3\/(-6)). What is the highest common divisor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010001100 + -11111100011110?\nAnswer: -100001110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, 5, -125\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 82401.5 micrograms in nanograms?\nAnswer: 82401500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13211201 + -101?\nAnswer: 13211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1198 divided by 63\nAnswer: 1198\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16750 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 12:22 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61418, -122833, -184248, -245663, -307078, -368493?\n\"Answer: -61415*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10389, -10318, -10247, -10176, -10105, -10034?\nAnswer: -9963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -155 or -153?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 2*l + 3*s + 6, -1 = -l - 2*s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-3) + (-4)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.66 + -21.56. Which is the biggest value? (a) 5\/3 (b) 0 (c) z (d) 7.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6390791 or -6390788?\nAnswer: -6390791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*n + 77*n - 12*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 1. Let f be j(2). Suppose 15 + 0 = -f*b. Suppose 5 - 3 = -o. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -101780.\nAnswer: 3\/101780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*s*x**3 + 2*s*x**2 + 3*s*x - 2*s + 894*x**3 - 48*x**2 + 210578*x wrt x?\nAnswer: 42*s*x + 4*s + 5364*x - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 519892118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**4\/4 + 3*m**3 + 4*m**2 + 23*m - 19. Let v be z(10). Suppose 5*y = v*y + 886. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 119 - -2829?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 719108 and 86476?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_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: 0.035 times 55\nAnswer: 1.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9534583 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30324412 (base 5) in base 2?\nAnswer: -111011111101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 3662392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 16 + 541820*i + 7.\nAnswer: 541820*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*j**4 + d*j**3 + 2*d*j**2 + 412*d*j + 259*j**5 + 2*j**2 wrt j.\nAnswer: 24*d*j + 6*d + 15540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 210. Let y = -79 + j. Suppose -m + 3*v - 4*v + 146 = y, 3 = -v. List the prime factors of m.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 2:10 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 51203022 (base 6) to base 4\nAnswer: 11211010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 16 = -p + 2*g, -p - 1 = -g. Suppose 2 = -q + 2*l, -2*q = -0*q + p*l - 14. Suppose -5*f + 14 = q. Solve 2*k = 4*k + i + 5, -f = -k - 5*i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807872957 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1098 and 2\/183?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 1 + 4 + 1)*-2 - (-3 + 5 + 2*sqrt(72)*-2).\nAnswer: -14 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 17*u - 4. Let w be p(-8). Suppose -w*t - 3*t = -14. Which is the third biggest value? (a) t (b) -5 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -4, 141, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 m, and 1 h when three letters picked without replacement from hnjhsmj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*x - 2*x - 6*x + 37*x in the form y + a*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 14 - 6 = 5*m, 0 = -q - 2*m + 6. Factor 12*a**3 - 3*a**4 - a**2 - a**q - 10*a**2.\nAnswer: -3*a**2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 24*m - 40. Let l(p) = -p + 8. Let v be l(6). Let f(q) = q**3 + 2*q**2 - q - 1. Calculate the remainder when c(-3) is divided by f(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 3*s**2 + 241*s + 1544. Calculate g(-8).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 158479 not equal to 158375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.91 - 0.09. Suppose -7*w + 4*w = 15. Which is the smallest value? (a) w (b) z (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(sqrt(13)*2)**2 + (1*sqrt(468) + sqrt(468))**2 - ((sqrt(13) + 0 + -3)**2 + -1)).\nAnswer: 6*sqrt(13) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 10:54 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*3\/3 + -164 + 1. Which is greater: w or -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10212111 - 321?\nAnswer: 10211130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.3, 114, -8.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 638, 956?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 591*s**2 + 8*s - 1. Let h be f(2). Let q = 2381 - h. Factor 5\/3*k**q + 0 - 5*k.\nAnswer: 5*k*(k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*t - 1)*(2 - 6 + 3)*(-2 + 1 + 3 + 65 + 126 + 88 + (0 + 3 - 2)*(0 - 4 + 3)) as b + i*t and give i.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - (28006\/(-57))\/((-2)\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -14) + (14 - (13 + -5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y + 12 = 35*y. Let s(r) = r - 1. Calculate s(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24, -12, 8, 36?\n\"Answer: 4*p**2 - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3263932280 to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 695 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 39?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.7 and 4.\nAnswer: 78.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-237)\/(-33) - (-8)\/(-44). Let q(d) = -d**3 + d**2 - k*d - 8*d + 19*d. Let m = -25 - -28. Calculate q(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101010011010101000 + -1010010?\nAnswer: -11101010011011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923 is divided by 187.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 16 = -8*y. Let n = 17 + y. Let w(v) = -2399999*v - 1. Let p be w(n). What is p rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 12:34 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189\/230 + -1\/46. Which is the nearest to 0.2? (a) 1\/5 (b) -1\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25423516 minus -5804223?\nAnswer: 31227739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -88\/37 (c) -5 (d) 2 (e) 23890\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136628027 to the power of 1\/2, to the nearest integer?\nAnswer: 11689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45537 - 45537. Solve a + 0*j**2 + 2\/7*j**3 - 8\/7*j = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/5 and 55\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(112) + 4*sqrt(112)*-3 + -4*(5 + -5*sqrt(112)*1))**2.\nAnswer: -1200*sqrt(7) + 11425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * 119\nAnswer: -226.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 9*y**2 - 8*y - 15. Let n = -25 - -35. Let o be q(n). Suppose -768 = -o*f - 3*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1069*t**2 - 2*t + 2518*t**2 - 1189*t**2 - 56. Let z be s(-17). What is z rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let i(s) = 9647*s + 233. Calculate i(z(q)).\nAnswer: 19294*q + 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o - 2*i + 28 = 0, 0 = o + 5*i - 24. Solve 3*g + 11 + o = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**3 - 5*r**2 + 31*r - 3. Let q(k) = 6*k**3 + 4*k**2 - 24*k + 3. Give 5*q(a) + 4*z(a).\nAnswer: 10*a**3 + 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344328912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(325))**2 + 1*sqrt(325).\nAnswer: 5*sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115 and 2352486?\nAnswer: 11762430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -22*z**4 - 250677*z**3 - 353192*z**2 - 102537*z = 0.\nAnswer: -11393, -1, -9\/22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4014 - 3976. Solve 0 = -z*w + 19*w + 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-16 + (-46 - -71))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, g: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**6\/80 + 465*m**5\/8 - 1801875*m**4\/16 + 465484375*m**3\/4 + 59*m**2. Find b such that a(b) = 0.\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54823426 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + w**3 + 25*w**2 + 26 - 16 to l*w + j + n*w**2 + s*w**3 and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17\/186 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*(-3)\/(-12)*-2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 144, 284, 468, 690, 944, 1224, 1524?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -792 - -50. Let u = -1220 - g. Let p = u - -477.602. What is p rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108 and 40858.\nAnswer: -4412664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 2. Let z(h) be the third derivative of -h**6\/360 - h**5\/40 - h**4\/24 - 3*h**2. Let s(y) be the second derivative of z(y). Give s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, 1\/18, -2, -0.5?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -35.8. Let j = -195 - -200. Let d = u + j. Which is the second smallest value? (a) 2 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7865 - 0.03?\nAnswer: -1.8165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 24*v**2. Let t(p) = -432*p - 2. Give t(s(j)).\nAnswer: -10368*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 16*c + 0*c.\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 154 = 174 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11451 - 11450.99957924. What is j rounded to six decimal places?\nAnswer: 0.000421","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(4)*-3)**2 - (-1 + sqrt(7))*4)*6.\nAnswer: -24*sqrt(7) + 402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53942, 110304, 166666, 223028, 279390?\nAnswer: 335752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 911752*y + 911757*y - 75, -30 = -4*t - 10*y for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8640 + 8639.9. Which is the nearest to s? (a) -11\/6 (b) 18 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 97\/18731 or -1?\nAnswer: 97\/18731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 5*y - 3. Calculate f(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*u + 6*l - 4, -5*u = l - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6446328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/8 - -1 - 1150756\/(-32).\nAnswer: 3, 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((286 - 10)\/12 + -21)*14\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -0.6 (c) 1966 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 120*z**2 - 8*z - 958. Let w be i(-120). Which is the nearest to w? (a) 1\/4 (b) 2\/13 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2048710 + -20?\nAnswer: 2048680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 + 83. Suppose 0 = o*p - 90 - 38. Calculate the highest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1044*25\/63350 + 6\/(-14))*(-60)\/(-90)\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8224219 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5938 + -4101. Is x at most as big as 1837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*c + 1574 + 11731. Suppose 0 = 2*l - u - 1785, -c = -4*l + 3*l - 5*u. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**5\/20 + 23*o**4\/12 - 37*o**3\/6 + 31*o**2\/2 - 55*o. What is the least common multiple of 14 and i(21)?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v - 67. Calculate k(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 1792*p**2 + 640085*p\/3 + 1581454.\nAnswer: (p - 5254)*(p - 129)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1100)*-1)**2 - (3 + sqrt(1100)*-2 + sqrt(1100))) + -4 + (0 + sqrt(1100))*-2 + sqrt(1100) + (sqrt(1100) - -1*sqrt(1100))**2*5.\nAnswer: 31893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**5 - 10*x**4 + 4*x**3 + 8*x**2 + 2*x. Let v(s) = -5*s**5 - 11*s**4 + 5*s**3 + 8*s**2 + 3*s. Let z(n) = -3*f(n) + 2*v(n). Factor z(d).\nAnswer: 2*d**2*(d - 1)*(d + 1)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*3\/(-4)*(-12)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**4 - m**3 - m**2 + 5434*m wrt m.\nAnswer: 36*m**2 - 6*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 11*n**2 + 13*n - 11. Let c be a(12). Solve -z + 0 = c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374692 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556681 is divided by 172963?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269045 is divided by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7601799.1 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z - 0*z. Let n(x) = x**3 - 8*x**2 + 18*x + 6. Calculate the remainder when n(5) is divided by 0 + z\/(3\/(-13)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6*t + 5907 + 36189. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 4:09 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 7*d - 71. Let w = -1 - 2. Let i(a) = a**2 + 8. Let v(c) = w*g(c) + 2*i(c). Differentiate v(b) wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w - 20. Suppose 2*h + w = 110. Suppose -4*s = -27 - h. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -34, -6, 2, 0.\nAnswer: -34, -6, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 874561482 take away 97?\nAnswer: 874561385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b + b**2 - 8 + 5*b + 2*b. Let l(x) be the first derivative of 3*x**2 - 7*x + 1\/3*x**3 - 13. Calculate -7*l(q) + 6*s(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:43 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**2\/13 - 1116*m\/13 + 170750\/13 = 0.\nAnswer: -683, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -11*s - 2*s. Let a(z) = 31*z**2 - 6*z + 2. Is a(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 5*g**4\/2 + 11*g**2\/2 + 9. Find the second derivative of v(q) wrt q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 31. Let z = 3.6 - j. Let l = -0.6 - z. What is the biggest value in -0.5, -3\/8, 1\/3, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2. Let d(f) = -f**2 - 3. Let p(u) = 1. Let c(a) = -d(a) - 2*p(a). Let v(t) be the first derivative of c(t). Determine v(l(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 4*z - 3*q + 2, -2*z = -q - 65. Let p be 117\/4 - (-24)\/32. Is p >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378973681*y**2 + 48970813*y - 10 wrt y.\nAnswer: 757947362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - -59. Suppose -3*o = -0*o - q. Solve -p = 5*f + o, -p - f - 3 = 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -737 + 738. Let k(z) = -z**2 + 4*z - 4. Let u be k(3). Which is the third smallest value? (a) -0.01 (b) 0 (c) t (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -108*j**3 + 9*j**2 + 12*j - 2669. Let y(k) = 55*k**3 - 4*k**2 - 6*k + 1336. Let n(v) = -4*a(v) - 9*y(v). Find the first derivative of n(h) wrt h.\nAnswer: -189*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 3, 9, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 + 9*b + 4. Let k(y) = -8*y**2 - 22*y - 10. Calculate -12*d(q) - 5*k(q).\nAnswer: 4*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 315657 and 6?\nAnswer: 631314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 62806 (base 14) in base 6?\nAnswer: 5031450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9402319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/6, -114, -2\/5, -3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 1. Let t be p - (-1 - -1) - 43. Find the common denominator of 698\/(-36) - 10\/t and -11\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62, -259, -598, -1085, -1726, -2527?\n\"Answer: -o**3 - 65*o**2 + 5*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -19. Solve -a*z = z + n, 0 = z - n - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12541589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4\/19, 140?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513 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 k = -133 + 135. What is the third derivative of -558 + 124*t**6 - 26*t**2 + 556 + 71*t**k wrt t?\nAnswer: 14880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-44)\/30) + (-19)\/(-95)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 0 - (-2252 - -2295)) + 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*x + k, -8*x + 4*k + 233 = 273 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.005 + 0.005. Let x = 9 + b. Let a = 7 + -7. What is the third smallest value in x, a, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 10) to base 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -0.14. Let x = 2133.5 - 2133.8. Which is the biggest value? (a) -18 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 - -160.1. Sort 5, 22, q, 0.5 in descending order.\nAnswer: 22, 5, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 55 = -13*j. Suppose 0 = -j*g + 2*z + 639, 0*g + 133 = g - 3*z. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 times -0.6?\nAnswer: -88.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -3. Let m(v) be the second derivative of 2*v + 0*v**2 + 0 + 0*v**3 + 1\/12*v**l. Let o(c) = -c**2. Determine m(o(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 10*c + 6*c - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - 29 - (3 + (7 - (-3 - -36))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23527789*c**5 + 23955015*c?\nAnswer: -470555780*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a2 (base 14) to base 15.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -4d?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 543761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43672618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + 1. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -81023*w + 891251. Give t(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 72.655.\nAnswer: 65.3895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3448*r**5 + 1507*r**2 - 3312027*r**4 + 3312025*r**4 - 167*r**2 wrt r?\nAnswer: 206880*r**2 - 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 131 = -27. Put d, 0, -1, 7 in decreasing order.\nAnswer: 7, d, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**5 + 3*h**5 + 0*h**5)*(-5 + 2 + 2) - 1250*h**5 + 5979*h - 5979*h.\nAnswer: -1252*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9228 + 9234. What is the third biggest value in 15, c, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 19*c**2 - 27*c + 28. Let b(s) = -s**3 + 20*s**2 + 27*s - 27. Let m(f) = 6*b(f) + 5*d(f). Calculate the lowest common multiple of 5 and m(26).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233.55 + 233.45. Sort u, 0, 2\/24661 in ascending order.\nAnswer: u, 0, 2\/24661","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/(-10) + -1)\/((-11)\/(-3245)). Suppose 2*z - 2*s = n, -4*s + 179 = 2*z + 55. What is the highest common divisor of 105 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2187, -8659, -19439, -34521, -53899, -77567, -105519?\n\"Answer: n**3 - 2160*n**2 + n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 132\/72 - (-16)\/(-12). Let m(r) be the second derivative of -6*r + 0 - 1\/12*r**4 - t*r**2 - 5\/6*r**3. What is m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3))**29\/((r**(4\/9)\/r)\/r**(1\/3)) assuming r is positive.\nAnswer: r**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/1728*-2*1*-4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*p + 303*p**2 - 1699*p**2 - 2123*p**2 + 565*p**2 wrt p?\nAnswer: -5908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 143 - 55. Let q = l + -20. Solve -n = -q - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 5*v**3 - 2*v - 54*v + 30 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*2 - (10 - 8). Suppose -5*q = 5*f - 1870, -5*f = -5*q + y*q - 1894. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 - 20*n - 20. Let s(r) = 3*r**2 + r + 1. Let a(g) = -2*s(g) + t(g). Determine a(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72743*l**2 + 203403*l?\nAnswer: 145486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w**2 + 18. Let i(h) = -257*h. What is i(c(t))?\nAnswer: -3598*t**2 - 4626","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1463*f**2 + 23*f + 1463*f**2 + 47*f + 42*f**3.\nAnswer: 42*f**3 + 70*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 22 - 11) + 2 + 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plegeegllpegp. What is prob of picking 1 e and 1 p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Suppose -11 + 99 = v*d. What is the units digit of 1\/(2 - d\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81800 by -14.\nAnswer: 40900\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23717 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 25*u + 175. Let j be t(-7). What is the fourth biggest value in -1230, 4, j, -3?\nAnswer: -1230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5682332?\nAnswer: 2, 1420583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 171172.\nAnswer: 1198204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 227. Suppose 6*f = y + 415. List the prime factors of f.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*m - 10, -5*i + 10 = -m + 4*m. Solve -2*g - h + 0*h = 4, g = -i*h - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249149, 249003, 248857?\nAnswer: 248711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 34\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 + (-5)\/15. Which is the closest to h? (a) 42 (b) 2\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3796229 and -3796229 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/10)*r)**(-2\/21)\/((r**(14\/9)\/r)\/r*r)**(-26) assuming r is positive.\nAnswer: r**(4517\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5200 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**4 + 21*k**2 - 174?\nAnswer: 12*k**3 + 42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/((-26)\/39)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 130726.9 + -4\nAnswer: 130722.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-750)\/(-2 + (-40)\/(-25)). Suppose 0*b - 5*b = -h. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16972931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 0.11 (c) -1\/6 (d) -0.187 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2313*m**3 + 35*m - 2317*m**3 - 35*m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5.9, -5, -3, -1 in descending order.\nAnswer: 1, -1, -3, -5, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 - -12?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5073 + 5077. Sort -3, -2, 1, u, 19.\nAnswer: -3, -2, 1, u, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r**3 + 10*r**2 - 3*r + 2. Let c(s) = -12*s**3 + 11*s**2 - 4*s + 3. Let k(j) = 4*b(j) - 3*c(j). Find the third derivative of k(v) wrt v.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4927\/1479 + 1\/493. Let d(r) = -2*r + 32. Let c be d(15). Determine j, given that 16\/3*j**4 + 8\/3*j**5 + p*j**3 + 2\/3*j**c + 0 + 0*j = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*3 + -1)**2*4 + 2.\nAnswer: -24*sqrt(7) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 2:30 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1772148.\nAnswer: 2, 3, 7, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -17. Let s = -15 - c. List the prime factors of -110*(s + (-12)\/(-8)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) 18 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160)*4)\/((sqrt(12) - sqrt(60)\/sqrt(5) - sqrt(12))*6) - (5 + sqrt(30)\/(sqrt(42)\/sqrt(847))))**2.\nAnswer: 150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -71240 (base 8) in base 12?\nAnswer: -14b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 110, 1621, 13.\nAnswer: -4, 13, 110, 1621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -3*k**2 + 4*k + 48. Let p be j(-1). Solve w + w = -p for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1147028.5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 = 2*t. Let u(n) = n - 3. Give u(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/2))\/z*z\/z**3)\/(z**1\/z)**(1\/25) assuming z is positive.\nAnswer: z**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 6:15 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145949.2 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 3*h + 3. Let b be 8\/(1\/((-28)\/8)). Let g be (3\/4)\/(7\/b). What is the remainder when 21 is divided by a(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3156 - -235?\nAnswer: 3424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*q**2 + 128\/7*q + 100.\nAnswer: 4*(q + 7)*(q + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + o - 25, 13*q - 12*q - o = 7 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.23 - 0.1208.\nAnswer: 2.1092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -1 + 5 + (-2)\/2. Suppose w + w + 5*i - 85 = m, 4*w + 4*i - 140 = 0. Suppose 0 = 35*g - 40*g + w. Solve g = -d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1282*s + 726*s - 1826*s.\nAnswer: -2382*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.884, 9, 5, -0.19, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38778 + 6398351\/165. What is the common denominator of r and -61\/165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 + -173. Suppose -s + 42 = -m, -2*s = 5*m - 2*m - 74. What is the greatest common factor of s and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11 + 20460\/6 + -10.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/(1751\/(-210120)) - 85\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 114, 117, 122, 129, 138?\n\"Answer: q**2 + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 11:49 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (5 - (14 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270919 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2122 (base 3) in base 13?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5027438 divided by -1?\nAnswer: -5027438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = 2*v - 35, 5*v = r + 5. Let f(b) = -b**2 + 17*b - 51. Let y be f(5). Let u = y + r. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850705219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 233831.7104 rounded to the nearest ten?\nAnswer: 233830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6*n - 538195*l**4*n + 116*l**2*n + 2267 wrt l?\nAnswer: -240*l**3*n - 12916680*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 1. Let k = 2 - -19. Let h be ((k\/2)\/(-7))\/(6\/(-20)). Calculate z(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343 divided by -103\nAnswer: 343\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/30 + (-106)\/10. Let o be (12\/16)\/((-1)\/(-24)). Let r = o + x. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/65 (b) -18 (c) 5 (d) 1 (e) 0 (f) 53 (g) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-21))\/(3\/(-7)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 29*f**3 - 3*f**2 + f + 2. Let r be j(2). Suppose -1 - 9 = -2*m. Suppose -3*k = m*t - r, -t - 5*k = t - 101. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186ed1 (base 15) to base 4.\nAnswer: 10202002003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/((9\/(-12))\/(-1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -286, -598, -944, -1330, -1762, -2246, -2788?\n\"Answer: -h**3 - 11*h**2 - 272*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/2346 and -17\/334635.\nAnswer: 261684570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.0413, -0.3, -5, -10, 0.1 in decreasing order.\nAnswer: 5, 0.1, -0.0413, -0.3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-84)\/(-49)*(-14)\/8*-6 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -35*o. Let c(b) be the first derivative of -b**3\/2 - 14*b - 46. Let d(p) be the first derivative of c(p). Give m(d(g)).\nAnswer: 105*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 34*h = -30*h - 50, 10 = h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 633386\/164800 + (-3 - 18\/(-8)). Let i = y + 1\/2575. Find the common denominator of i and -25\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 892.7 + -865.7. Let g = -2.95 - 0.05. Sort -2\/3, g, a.\nAnswer: g, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 14*q + 131*q + 105*q - 47*q.\nAnswer: 175*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.7 - 1.7. Let z = 107 - 113.7. Let s = z + 7. Which is the nearest to -0.2? (a) k (b) s (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -11. Let c = 18 + p. What is the third derivative of -b**c + b**2 - 3*b**4 + 0*b**4 + 6*b**2 wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 3*z**2 + 6*z - 5. Let p be b(4). Suppose 0 = 5*y + 2*l - 44 + 103, -y = p*l + 17. Is 21281\/143 - 2\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = 16. Let z = 0.3258 + 5.7742. What is the nearest to 0 in s, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6555 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-520)\/6*(15 - 18). Suppose 15*c - s = 10*c. What are the prime factors of c - (-4 + 4 + -4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.7945 rounded to one decimal place?\nAnswer: -142.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**4\/4 - 2*g**3 - 388*g**2 + 2. Give o(9).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181878?\nAnswer: 2, 3, 7, 25253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + p + 14, 2*p + 8 = 0. Let c be 3\/(-6) + (-153)\/(-6). Suppose 0*k - 25 = -a*k, 2*k - c = -3*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 28\/157?\nAnswer: 28\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - 368?\nAnswer: -35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1266895, -1266898, -1266903, -1266910, -1266919, -1266930?\nAnswer: -1266943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -7405\nAnswer: 1\/7405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598764.\nAnswer: 2, 3, 41, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 57 (c) 1261.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 752381 times 6\nAnswer: 4514286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920251769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(2\/49)*n**3*n*n*n*n*n**(-4) assuming n is positive.\nAnswer: n**(151\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -15. Which is the nearest to f? (a) -3\/2 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, -68, -182, -346?\n\"Answer: -25*s**2 + 11*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 17.9, 5 in ascending order.\nAnswer: -156, 5, 17.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 0.3 (b) 91 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)\/a**(-1\/7))\/(a**0)**(2\/17) assuming a is positive.\nAnswer: a**(23\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32316720 divided by -2693060\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -6. Let m(b) = 2*b**2 + 161*b + 2709. Let k be m(-63). Calculate the highest common factor of k and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-915)\/(-12) + 0). Let h = -690 - -751. Calculate the highest common divisor of h and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48101.215355 + 48100. Let u = m + -23.787795. Let n = u - -25. What is n rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 156612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -415, -424, -439, -460, -487, -520?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 0, 1.044, 0.012, 3.\nAnswer: 0, 0.012, 1.044, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, m: 2, y: 1, t: 1, c: 1}. Give prob of picking 1 r and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3*(sqrt(30)*1)\/sqrt(10))**2*6*2*-2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4 - 21. Solve -n = -2*v + 3, -3*v - q - 3 = -4*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 5:28 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -571 - 116. Let d = 689 + m. Which is the second smallest value? (a) d (b) -2.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 38703\nAnswer: 19351.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*q - 5, 5*q - 20 = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -166, -233, -298, -361?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 30604*n**2 - 37*n - 56. Is a(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22382803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2733885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 11. Put -2\/3, t, -1\/4 in descending order.\nAnswer: t, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 + -5?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 131265 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 + 252 + (14 - 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1620\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -691\nAnswer: -2\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*y = -4, -4*o + 2*y = 6*y - 32. Suppose -5*f - 3*p + 6*p + 3 = 0, 5*p = -f - o. Suppose 3*v - 9 - 12 = f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 80, -0.3, -7, -3, 0.3, -2\/7, 355?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 447*n - 24. Let w be q(1). Let s be ((-188)\/w)\/(2 + -2 + 2). Which is the second biggest value? (a) -30 (b) -1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 8:57 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5636 + -39454\/7. What is the closest to 1 in v, 0.07, 1\/10, 0.02?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481, 1252, 2123, 3100, 4189, 5396, 6727, 8188?\nAnswer: 9785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20036, -20045, -20056, -20063, -20060, -20041?\n\"Answer: s**3 - 7*s**2 + 5*s - 20035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nci when three letters picked without replacement from {c: 1, n: 4, m: 1, i: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76265 - 837649\/11. Is 115 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/20*-1*-5. What is the common denominator of g\/28*(-14 + 8) and (-10)\/15 - 91\/66?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 1. Give z(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -227*l**2 - 1 + 3*l**3 - l**3 - 1 + 3 + 147*l - 149*l in the form p*l**3 + v*l + i*l**2 + g and give i.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -1. Let c be (-65576)\/(-48) + 1\/y. Let o = c + -6966. Round o to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2288)\/39)\/(9*(-640)\/1080)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2 - 7*r + 3 - 1 to w + s*r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 73. Let r be 2\/((-2 - -6)*n\/66). What is the closest to 0.1 in 0.3, -2, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 12*v - 18266 + 17546. Solve -51*h - 21 = -v*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32220?\nAnswer: 2, 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 2:54 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 544757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**2 - x. Let r be w(-1). Suppose 0 = -13*z + 1 - 1. Let k(p) = z*p - 40 - 2*p + 51. What is k(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4)*c*c**(2\/3)*c*c*c**(1\/3)\/(c**6*c))\/(c*c**(3\/8)*c**(2\/7)*c**(-1\/9)\/c*c**(3\/4)) assuming c is positive.\nAnswer: c**(-3679\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 226.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/7)))\/((a**(1\/28)\/a)\/a) assuming a is positive.\nAnswer: a**(47\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3046785 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 35 = 0, -3*l - y - 34840 + 130812 = 0. What are the prime factors of l?\nAnswer: 13, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73293158 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45596\/40457 + 6\/1759. Let x = -2424 + 2425. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336748 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 - 21*u**2 + 12*u - 14. Let c(g) = 2*g**2 - 13*g + 16. Let n be c(6). Let z be s(n). Let x(w) = w**3 - 5*w**2 - 5*w - 4. What is x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from iynyrrryio.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3332 - -8353. Suppose 15*n - g = -0*n. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1570133*j**5 + 5*j - 36641.\nAnswer: 31402660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*f, 0*l + 5*f + 35 = 5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*q = 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 4*c + 4. Let y be a(-4). Let j(d) = d**3 - 5*d + 7. Let v be j(y). What is the remainder when 73 is divided by 244\/10 + v\/85?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-6)*u*u**(-3\/13)\/u*u*u*(u\/u**(-24))\/(u**(7\/6)*u*u) assuming u is positive.\nAnswer: u**(2387\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + r = -4, -2*b - 12 = b + 3*r. Solve b*n = 3*d + 4*n + 11, 4 = -2*d - n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 - 10*p**2\/3 + 9*p - 6.\nAnswer: (p - 6)*(p - 3)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167\/380 + -3\/76. Determine b so that 2\/5*b**5 + 0 + 0*b - 2\/5*b**3 - 2\/5*b**2 + f*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12000617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 1, a: 2, t: 3, y: 3, u: 4}. What is prob of sequence qfy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446048033 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/2 - 18*n. Let a(b) = -12*b**2 + 5. Let k(l) = 6*l**2 - 3. Let r(x) = -3*a(x) - 5*k(x). Determine q(r(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*s + 0*s = -1548, 2*v - 3081 = -5*s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f - 36*f + 24*f - 32*f to x + b*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7733, -29918, -66891, -118652, -185201, -266538?\n\"Answer: -7394*z**2 - 3*z - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*q - 129, 124 = 2*a - a + 4*q. Let r = a + -99. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6735 and 6758?\nAnswer: 45515130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2267 - -2267. Let x be (4\/3)\/(1\/3). Solve x*t + 2*a = -2, i*a - 2*a = -4*t + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2443 and 10794570.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/19 (b) 0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276009471.\nAnswer: 3, 10222573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 11*a + 12*a**2 - 15*a**2 + 2*a**2 - 10*a**3 + 8*a**3 in the form z*a**3 + b + v*a + c*a**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 771613.\nAnswer: 1\/771613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58955 divided by 40?\nAnswer: 11791\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**5 - 5*v**4 - 5*v**3 + 5*v**2 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79252106 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5421892, 10843827, 16265762, 21687697, 27109632, 32531567?\n\"Answer: 5421935*q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -1 (c) 0.0044 (d) 1.9 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172 - 172 - 60*q + 517 - 173.\nAnswer: -60*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1925412 and 118894191?\nAnswer: 475576764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p - 584 = -107 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0.8. Let m = 3 - q. Let k = -27 + 80\/3. Is m at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009641?\nAnswer: 1249, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -830, -3052, -5274, -7496, -9718?\nAnswer: -11940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.062 - -14. Let c = -66.938 + l. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -14. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**5\/20 - v**4 + 5*v**3\/2 - 11*v**2\/2 + 5*v. What is the remainder when 131 is divided by s(11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 11*f**2 - 9*f + 1. Is u(12) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3901, -32741, -111007, -263413, -514673, -889501, -1412611, -2108717?\n\"Answer: -4119*w**3 + w**2 - 10*w + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 6*m - 20. Suppose -6 = -2*h + z, -4*h - h + m*z = -15. Suppose 40 = 5*o - 5*v, -h*o + 4*v + 0*v + 27 = 0. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -169*y**4\/3 + 7*y**3 - 13*y**2\/2 - 583*y. What is the second derivative of n(v) wrt v?\nAnswer: -1352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 9 = 2*o, 3*o = -4*w + 2*o - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10103112 (base 5) to base 7.\nAnswer: -460032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 493 and 355657.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*z + 3*z + 1 = 0, 7 = 4*t + 5*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6035801.\nAnswer: 6035801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153141875 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011111010111001110111 - -10?\nAnswer: -101011111010111001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1616 - -1665. What is the remainder when b is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqywybqe. Give prob of picking 1 q, 1 y, and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 0, -5*r = -h + 2*h + h + 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -89. Suppose 5*q + b - 293 = q, 0 = 5*b - 25. What is the highest common factor of c and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 143 + 714 = 267 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94327064.\nAnswer: 2, 13, 181, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/14 and -17\/1576.\nAnswer: 11032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 5*z**2 - z**2 + (1 - 3 + 0)*(z**2 - 2*z + 2*z) - 234*z - 4*z**2 + 234*z)*(-31*z + 33*z - 1 + 10).\nAnswer: -20*z**3 - 90*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 49*s + 1753. Let h be t(-73). Which is greater: h or -2\/4247?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 201240 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18258 and 23953422?\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 2:28 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by ((-2)\/6)\/(7\/(-399))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = 5*j - 166, 0 = -5*j - 5*u + 170. Find the common denominator of -11\/4 and 212\/(-6)*(-5)\/j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 40 = -20. Suppose -5*v = w - 14 - 11, 0 = -5*v + j. Let a = w + -7. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3132 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2977 + -2977.0019365. Round b to 5 dps.\nAnswer: -0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1225, 1227, 1231, 1237?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 356 = y, 0*s + 2*s - 722 = 2*y. What is y rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(27) + 2 - sqrt(9)\/sqrt(3)*-2))**2.\nAnswer: 720*sqrt(3) + 2844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -547733 (base 9) in base 11?\nAnswer: -203905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21210100002111 - 2?\nAnswer: -21210100002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/(-4))\/7)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232122 is divided by 667.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**2 + 4*s + 6. Let y be b(10). Let v = y + -448. Suppose 16*m = 14*m + v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 9:14 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114176 in 5, 4\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 = 3*r, -5*m - 2 = -3*r - 1. Sort r, -3, -15, -5 in decreasing order.\nAnswer: r, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 24 = -2*g, -5*g + 4*g - 23 = -5*x. Let p be (1 + 6)\/((-2)\/6). What is the units digit of 5\/(-5) + (g - p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*-2*sqrt(539)*6*1 - ((-5*-1*sqrt(539) - (sqrt(539) + 2 + -2)) + -1))**2.\nAnswer: -1064*sqrt(11) + 3113265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 3203021?\nAnswer: 3203021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (24 - 16) + -31?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*p**2)*(7405*p + 4234*p + 9512*p - 6012*p) to the form z*p**3 + k*p**2 + l + x*p and give z.\nAnswer: -30278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202.11864 + 0.2.\nAnswer: 202.31864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -780, -29 in descending order.\nAnswer: -3, -29, -780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaabababaabb. Give prob of picking 1 a and 2 b.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10999 - 10999. Solve v = -593*u + 602*u - 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93426, -373689, -840788, -1494723?\n\"Answer: -93418*y**2 - 9*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 21*q + c - 1391283 = 0, -q - 12*c - 695604 = 0. What is q rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25311.080065 and 1.7?\nAnswer: 25312.780065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -893, 1, -15, -6, 3, -5 in decreasing order.\nAnswer: 9, 3, 1, -5, -6, -15, -893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -71?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10200020012001 (base 3) in base 5?\nAnswer: -1000000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872945 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 3 + (sqrt(13) + 1)**2 - (1 + sqrt(39)\/sqrt(3))**2) + 1.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*q + 29*q - 4990. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbttbttbtb. What is prob of picking 1 t and 1 b?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -v + 4. Let z be (10\/v)\/(3\/(-9)). Let g be z\/(-12) - (-2)\/(-4). Sort g, 3, -4 in descending order.\nAnswer: 3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/7368 and -73\/54866?\nAnswer: 202126344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 2*g)*(4 - 4 - 24146*g + 22099*g).\nAnswer: -2047*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/20 in 1\/6, -1\/9, -1\/6, 11, -6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 5*m**2 - 2*m + 1. Let u be g(5). Let c = -90 - u. Suppose -659*r + 36998 + 1347 = -5149. What is the greatest common factor of r and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -17*u. Let r(m) be the third derivative of m**6\/360 - 4*m**3\/3 - 20*m**2. Let g(h) be the first derivative of r(h). Determine g(a(p)).\nAnswer: 289*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(378)*-6)\/sqrt(6) + -2 - 6*((sqrt(448) - (sqrt(448) + 0 + sqrt(448)) - sqrt(448)) + sqrt(112) + 2)) + 3)**2.\nAnswer: -1188*sqrt(7) + 20533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436148395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**3*o**3 - 3*d**3*o*u - 2*d**3*o - 32*d**2*o**2 + 16*d*u**2 - 20286*o**3*u**2 wrt o.\nAnswer: -18*d**3 - 121716*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5830558 and 1784?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106536459 to the nearest integer?\nAnswer: 10322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66\/443, 4, 1, -20 in descending order.\nAnswer: 4, 1, 66\/443, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -k + 14, k - 4*w + 10 = -w. Suppose -6 + 2 = -4*x + 2*l, -l = -5*x + k. Suppose -4*y + 200 + 12 = x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001742898025 to 6 dps.\nAnswer: -0.001743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {m: 2, o: 1, v: 1, b: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 3*sqrt(156)*6)\/sqrt(6))\/(sqrt(162)*-2 - sqrt(2)*-1*-4).\nAnswer: -19*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.5 - -6.7. Let o = 0.5 + -1.5. Let u = -0.2 + -0.1. Which is the nearest to i? (a) u (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.402242 to 2 decimal places.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + 117*g + 76. Calculate h(-19).\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 570016 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let n(u) = -9*u - 2. Determine n(a(j)).\nAnswer: -9*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9148 times -5?\nAnswer: 45740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6265 + 35?\nAnswer: -6230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -25. Let u(s) = 1 - l + 7 + s. Let k(x) = 7*x. Give k(u(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d. Suppose 4*t = 5*k + 28, 5*k + 9 = -11. Let o(u) = -13*u**t - 17*u**2 + 41*u**2. Calculate f(o(y)).\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7759934 and 14?\nAnswer: 7759934","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 0. Suppose n*t - 594 = -5*y + t, 3*t = 6. Let r = y + -51. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f. Let l(u) = -9*u. Determine d(l(q)).\nAnswer: 108*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -265, -2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 + 900284*p\/9 - 1800592\/3.\nAnswer: 2*(p - 6)*(p + 450148)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2 + 2*m**2 + 1 + 2*m**3 - 2 to the form k*m**2 + g + b*m**3 + o*m and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4028 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 4*v + 32. Let p be m(8). Which is the third smallest value? (a) -4\/7 (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813\/197 at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2*(-2)\/(-112)). Let p be (-30)\/(-50) - 90700\/(-500). What is the greatest common divisor of p and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*z + 182 = -148*z. Let v be ((-13 - -2)*-1)\/(-1). Let n = v + 15. Calculate the smallest common multiple of z and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 564833189 - 343464661. Let j = 221368401.9999774 - c. Let f = j - -126. Round f to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) -67 (d) 4\/3 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -2.8.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 2, y: 1, p: 2, n: 2}. Give prob of picking 2 z and 1 l.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2*(-2)\/(-4))\/1. Let b = u + 2. Solve -b*k = 5*i - k + 30, -2*k = 2*i + 18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4836053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 48. Let a be 5 + v - (2 - -1). Solve -1\/5*t + 3\/5*t**2 + 0 - 3\/5*t**a + 1\/5*t**4 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 99\/12 + (70\/(-70))\/(2\/14). Solve 0 - 5\/4*k**2 + c*k**4 + 0*k + 0*k**3 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(171\/1140 + (-4984)\/(-1040) - 6\/(-8))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 288106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10113141 (base 5) to base 12.\nAnswer: -3b760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 333 - 290. Suppose -47*m + 1256 = -p*m. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -12. Sort s, 2, -3.\nAnswer: -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/3 - y**3\/2 - 7*y**2 - 3*y. Suppose 39 = -2*a - a. Is f(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*x = -0*x + 18, 0 = -5*x - 10. Let g(i) = i + 14. Let f be g(m). Suppose 1 = -d, -2*d - 25 + 7 = -f*l. Solve -2 = -2*n + l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*x - 0*x - 23, -4*d + 4 = 0. Find the common denominator of ((-2)\/(-32))\/(x\/(-770)) and 91\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10104 (base 8) to base 12\nAnswer: 24b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1304?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 65040557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 373*m - 370*m = -14, -10 = 3*b - m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47996357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7519 is divided by 439?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(1\/5)*g)\/(g**(4\/7)\/g*g))**(-2\/17) assuming g is positive.\nAnswer: g**(-114\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10311438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(300)*1 + sqrt(135)\/sqrt(5) + 2)*-5*-3)**2.\nAnswer: -24300*sqrt(3) + 492975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3959385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - ((-2)\/9 - (-114)\/27). Is -7 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3207, 6402, 9597, 12792, 15987?\nAnswer: 19182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(3\/5))**(-48)\/((d*d\/(d*d*d**(-5\/6)*d)*d*d)\/d**(-1\/7)) assuming d is positive.\nAnswer: d**(-16543\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, i: 2, b: 1, v: 1, c: 2, e: 4}. What is prob of sequence cetb?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 26 = -9*m. Suppose -10*d = -m*d + 15. Solve d*t = 1 - 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a2e (base 16) in base 8?\nAnswer: -55056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132 + 219. Let d = p - 82. Suppose 0*k - 25 = -d*k. Solve 6 = -k*r + 4*m, 0*r + 4*m = r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40635)\/(-1892) + -16 + 13 + (138\/22 - 3). Let 0 + b*g**3 + 81\/4*g**2 - 3\/2*g = 0. Calculate g.\nAnswer: -1, 0, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1659224155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*sqrt(28)\/sqrt(4).\nAnswer: -5*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 5)*(9*x**2 + 30*x - 30*x) + 3*x**2 - x**2 + 0*x**2 + (2*x - 2 + 2)*(1 + 2*x - 1) as k + j*x + p*x**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 228*n**3 + 14*n**2 - 197*n + 7. Let w(y) = -151*y**3 - 10*y**2 + 132*y - 5. What is 5*k(j) + 7*w(j)?\nAnswer: 83*j**3 - 61*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98429\/609 or -163?\nAnswer: -98429\/609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-6)*(-87)\/(-116).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*g + 18. Suppose -2*i = -g*i - 10. Solve -8 = i*a + 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1956 or -1953?\nAnswer: -1953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.2 and -8854.\nAnswer: -8852.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(35\/(2625\/10))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0418 <= 199733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 = 0, 0*y = -2*y + 2*p. Let h(k) = k**2 - 2*k**2 + 9*k**3 + k + 2*k**2. Give h(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(133) - (sqrt(133)*-1 + sqrt(133))*4)\/(sqrt(63)\/(sqrt(27)\/sqrt(3))*4).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*a + 2520, 0 = -5*u + 3*a + 1263 + 2921. Suppose -46*y + 55072 = u. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = f + 2*z - 10, f + 3*z = 13. Suppose -f*d = -5*d. Suppose d = -5*b - o + 219, 3*b - 117 = 5*o - 2*o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143355 * 0.0249.\nAnswer: 3569.5395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 4042948.\nAnswer: -28300636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -102 + 94. Let k(m) = 15*m + 122. Let p be k(s). Solve -4*z - 18 = p*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -206450, 12, 0.3?\nAnswer: -206450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*60\/(-54) - 14\/21. Which is the second smallest value? (a) -1 (b) 3\/8 (c) -2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*b + 6. Let i(x) = -b - x**3 - x + x**2 + 2. Suppose 387*f - 385*f = 0. Determine i(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -571475.1 - 13476994.9. Let g = 14048696.00113 + w. Let j = 226 - g. Round j to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 12\/3980705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k + 21*k - 38*k + 210 - 15*k. Let i be d(6). Suppose -1\/2*q**3 - 5\/2*q**2 + 0*q + i = 0. Calculate q.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 54 - 200?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*l + 243 = -k, -225 = -3*k + 2*l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 8*v**2 + v + 1. Let z(y) = 61*y**2 + 8*y + 55. Determine 8*r(s) - z(s).\nAnswer: 3*s**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from ztzczrc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*j**2 - 169*j**2 - 140*j**2)*(5 + 2 + 0).\nAnswer: -1470*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7796970.\nAnswer: 2, 3, 5, 41, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16314389978 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1316237?\nAnswer: 13, 103, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 14 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4610 is divided by 649.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g**2 + 2*g - 1. Let o(j) = 2*j**2 - j + 1. Let p be o(0). Give n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 80\/33 (b) 3\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -21431, -0.5, -9\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 32*n**3 - 3104*n**2 - 12672*n + 627264 = 0.\nAnswer: -22, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 479128 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - -2*4\/(-8). Suppose -1077 = -i*f + 1554. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 10*b**6 - 3*b**5 + 3*b**2. Let g(n) = 29*n**6 - 8*n**5 + 10*n**2. Let v(c) = -3*g(c) + 8*k(c). What is the third derivative of v(s) wrt s?\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - z + 1. Let j(a) = 5*a**2 + 5*a - 4. Let x(g) = j(g) + 4*w(g). Let h(u) = -u. Suppose -t = -2 + 1, -4*t - 1 = -5*r. Determine r*x(l) + 2*h(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24870)\/(-3316))\/(165\/1628)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 10*d + 23. Let i be v(-15). Let x = 54 + i. Suppose -3*l + 7 = 1, 0 = 2*b + x*l. Let r(k) = 5*k**2 + k. What is r(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 3 - 3)*(-2*p**3 + 6*p**3 + 0*p**3) - 4*p**5 - 22*p**5 + 0*p**5.\nAnswer: -34*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m - 7*m + 5*m - 6*m to c + b*m and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31985.\nAnswer: 5, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9536 and 117404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 274*h + 287724 - 317864 for h.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45387 and 205?\nAnswer: 226935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4158*x**3 + 12961*x**2?\nAnswer: -24948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (84 - 199001\/2370) + (-669)\/(-180). Factor -1\/4*f**3 - 7\/4*f - 7\/4*f**2 + v.\nAnswer: -(f - 1)*(f + 3)*(f + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 6*n = -16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224363129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65774, -131540, -197306, -263072, -328838?\nAnswer: -394604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 19*w = -3*x + 36, 3*x - 5*w - 24 = 24 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + y + y + 2*y - 2*y - 5*y + (y - 5*y + 3*y)*(7 + 0 - 3) + 0*y + 5*y - 4*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011110110010 (base 2) in base 13?\nAnswer: -18535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1041236 and -1041236 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b1a + 457?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -4 - (-6 - -9 - -3 - 45)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.1, -3684, -5?\nAnswer: -3684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 66 + -62?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**3 - 7 + 0*k**3 + 2*k**3. Let c(z) = -8*z**3 + 8. Calculate 5*c(n) + 6*r(n).\nAnswer: 2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89223 is divided by 6861.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14598 divided by 3.\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -630*q**3*r**3 + q**3*r + 15*q**3 + 2*q**2*r**3 - 17*q*r wrt r?\nAnswer: -3780*q**3*r + 12*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978 is divided by 483?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 7 + (-30 - -11) - -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/5 + 426*l\/5 - 912.\nAnswer: 3*(l - 10)*(l + 152)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10726*v + 10728*v = -14. Let p(c) = -4*c + 12. What is p(v)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*v + h + 15, 3*h = -v + 3. Let t(w) = -w - 7. Let k be t(v). Is -1\/2 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1804 and 5084?\nAnswer: 55924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**5 - 2*g**5 + 2*g**5)*(-4 + 2 + 1) + (-153 - 22*g**3 + 153)*(26*g**2 + 18*g**2 - 19*g**2).\nAnswer: -548*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3521503425.\nAnswer: 3, 5, 11, 283, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f = 59*f - 20. Put f, -211, 2 in decreasing order.\nAnswer: f, 2, -211","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -6157, -20575, -48603, -94777, -163633, -259707, -387535?\nAnswer: -551653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 3 (c) 6168 (d) -8\/19 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -2.1.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.31262202 to four decimal places.\nAnswer: 19.3126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116750 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dfe - -5?\nAnswer: e03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 1232*s**2 - 1244*s + 2472.\nAnswer: 4*(s - 309)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (732 - 745) + (1 - -70) + (-2 + -8 - -2).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-40)*-496 - -28?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-1 - -3) + 2. Let h be 1\/4 + 19\/4. Solve -16 = 4*p, h*f - 7*p + 2*p - 30 = m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35702\/75 - -476. Let k(g) = -2*g**3 + 130*g**2 + 405*g + 205. Let a be k(68). Is a at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70955*o + 1355 + 39 + 35479*o + 35477*o in the form v + n*o and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-20))\/((-2)\/(4*2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/15 - 1202782*o\/15 - 1603656.\nAnswer: -2*(o + 20)*(o + 601371)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -6*y + 7*y + 1, 0 = 3*f + 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-8))\/(6\/4). Let u = 0.26 + -0.3. Let n = -23\/228 + 20\/57. Which is the closest to n? (a) u (b) -4\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = k - 0*k + 737, 2*x - 725 = k. Let m be (-2)\/3 - k\/129. Solve -22 = -m*i - 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5925 + -17951\/3. Which is smaller: r or -58?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3509050 to the nearest integer?\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 0*z**2 + 0*z**5 + 0 - 5*z - 11\/3*z**3 + 3\/7*z**7 + 0*z**4 + 0*z**6. Find the second derivative of d(v) wrt v.\nAnswer: 360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147635604053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 9*s + 3*g = 15, -10 = 5*s - 2*g. Solve 0*t = 5*q - 5*t + 25, s = 4*t - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -27 - 66. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**2 - 47*f - 244*f - 2*f**2 - 168*f**3 + f**2 - 1031*f wrt f?\nAnswer: -1008*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -176*m + 171*m + 135750. Round m to the nearest one hundred.\nAnswer: 27200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 928 and 31900.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwcw when four letters picked without replacement from fcwfwwfw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46826.3 - 288123.3. Let d = 241293.00074 + q. Let b = d - -4. Round b to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1262 - 991 - 709)*(3*g**3 - 5*g**3 + g**3)*(3 - 3 - 2).\nAnswer: -876*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073912220 is divided by 8624?\nAnswer: 8620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 75*t**2 + 485*t - 83. Let m be y(-81). Put 91, -1, m in decreasing order.\nAnswer: 91, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 11*r**3 + 41 + (-2*r + 5*r - 2*r)*(-2*r + 2*r + 2*r**2) to the form a*r + f + d*r**3 + u*r**2 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 96.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 5}. Give prob of picking 1 a and 2 z.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -13. Let t(i) = -i**2 - 4*i - 4. Let q be t(f). Suppose -2*h + 3*v + 30 = q, 6*h + 5*v - 16 = 2*h. What is the remainder when 32 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a second in milliseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*m - 9 = 0, -4*y + 2*m = -3*y - 8. Find the first derivative of y*g - 6*g - 62 + 28*g**3 - 5*g**3 wrt g.\nAnswer: 69*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 1\/2*c**2 + 0*c + 0*c**5 - 1\/7*c**7 - 7 + 0*c**6 - 44\/3*c**3 - 5\/4*c**4. What is the third derivative of x(g) wrt g?\nAnswer: -120*g**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6)*0 + 2. Factor 13*r**d - 3*r**4 - 4*r**3 - r**4 - 9*r**2 + 4*r**5.\nAnswer: 4*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 161*k**2 - 384*k - 10502. Calculate y(-159).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14b + -430a9?\nAnswer: -42e5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4 - 60824*b**3 - 460920522*b**2 + 23198336100*b = 0.\nAnswer: -15231, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10000000?\nAnswer: 2222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d + 11. Let t be n(-11). Let q be t\/33 - (-20)\/(-6). Sort 0, q, -1.\nAnswer: q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*d + 15, -x = 3*d - d - 3. Suppose -12*l + x*l = -744. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444099 is divided by 257.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - i - 10 = 3*i, 4*i = -3*b - 2. Suppose o - 6*o = z - 8, 0 = -b*z - 4*o + 22. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137010 divided by 257.\nAnswer: 137010\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, -2, -0.5, 762?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ddb82 (base 16) in base 11?\nAnswer: 2975616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 - -95. Let p = 107 - i. What is the remainder when p is divided by 450\/275 + (-441)\/(-33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 208149, 223037, 237935, 252849, 267785, 282749, 297747, 312785?\n\"Answer: r**3 - r**2 + 14884*r + 193265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 780*w**2 - 2. Let i(m) = 156 - 156 - 292*m + 303*m. What is i(n(s))?\nAnswer: 8580*s**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -99 + 0*o + 0*o**4 + 23\/3*o**3 - 6\/5*o**5 + 0*o**2 + 1\/3*o**6. What is the third derivative of j(l) wrt l?\nAnswer: 120*l**2 - 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251.1 - 250.6. Which is the fourth biggest value? (a) -1\/2 (b) 0.1 (c) 224 (d) i (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/4 of a week?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6963 + 6961.4315. Let y = o - -1.52. What is y rounded to 3 dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/30 + 1134\/(-2970)\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 2:05 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Suppose -5*i + 10 = 5*y, -i + 2 = 6*y - y. Let 1\/3*f**j + 2\/3*f - 2\/3*f**5 - 7\/3*f**4 - 2*f**3 + y = 0. Calculate f.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j - 8*j. Find the common denominator of -23\/7 and 1\/16*78*j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -668136747*y**3 - 28462*y**2 + 6651 wrt y.\nAnswer: -4008820482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*q - 3 + 73, 5*h - 4*q = 75. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:32 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 1648?\nAnswer: 3296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 237*l + 44 + 422*l + 56*l - 44 to v*l + c and give v.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*i**4 + i**3 - 4*i**3 + 5*i + 32 + 11*i**4 - 5*i**4 - 8*i to m*i + b*i**2 + u*i**3 + g*i**4 + n and give n.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 15*t**2 + 14*t + 2. Give b(16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 9*r = 359, s + 761 - 550 = 5*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1011001000001 (base 2) to base 12\nAnswer: -3369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2.2, -1\/5, -0.5 in descending order.\nAnswer: 2.2, -1\/6, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 18*p - 17. Let u be c(13). Let z = 116 + u. Suppose -8*v = -z - 126. Solve 0 = -a - 3*a + v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-4) - 554\/(-1). Let v = 356 + p. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 95982, 191839, 287696, 383553, 479410?\n\"Answer: 95857*i + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k - p + 6, 0 = 4*p + 16. Suppose -5*t - 28 = -15*q + 11*q, -t = k*q. Solve 5*i = 4*j - 23, -q*j = -j + 5*i + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23429, -23419, -23395, -23351, -23281?\n\"Answer: a**3 + a**2 - 23431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(14)\/sqrt(2) + sqrt(7) + sqrt(7)) - (3 + sqrt(117))) + -5 + sqrt(117) + (sqrt(117) + 0)**2.\nAnswer: sqrt(13)\/3 + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**5\/60 - v**4\/4 - v**3\/2 - 9*v**2. Let x be p(-4). Suppose 12*h - 4 = 20. Solve 2*d - x*k - 17 = -h*k, 15 = -3*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 27*s**4 - 383*s**3 + 745*s**2 - 449*s + 50. Let t(x) = x**4 - x**3 - x**2 + x - 2. Let r(g) = -d(g) + 5*t(g). Find f, given that r(f) = 0.\nAnswer: 2\/11, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1040, 2083, 3126, 4169?\n\"Answer: 1043*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 732708.5l?\nAnswer: 732708500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1284)\/645 - -2)*(15 + -3 + -7)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1007 and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:51 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 12:28 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**3 - k**2 + k + 1. Let a be y(-1). Suppose 0*b = 4*l + 2*b + 20, 0 = 3*b + a. Let d(m) = -m**3 - 5*m**2 - 4*m + 2. Determine d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 244670, 244674, 244676, 244676, 244674?\nAnswer: 244670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -508 - -3336. What are the prime factors of l?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:04 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 12, 3*l + 0*i - 92 = -4*i. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -248, 106, -2\/109 in descending order.\nAnswer: 106, 1\/5, -2\/109, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*(-18)\/(-4). Let k(z) be the first derivative of -z**2 - z + 1. What are the prime factors of k(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21.80653391 - 5\nAnswer: 16.80653391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 75 - 25 = 0. Let z be ((-4)\/u)\/((-9)\/10*4). Is z <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 4. Let y be q(9). Suppose -y*d - 5*h + 2690 = 0, 3*h - 2149 = 3*d - 7*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*k**3 + 3*k**2*q - 5*k**2 - k*q - 18*k - 12 wrt k?\nAnswer: -324*k + 6*q - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-1)\/(1 - 2)). Suppose p*y - 96 = y. Let x = y + -29. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.5 (b) 3 (c) 16636\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 7*o = -96. Let n be (o\/(-21))\/4 - (-6)\/(-21). Suppose 4*k - 48 = 2*q, n = -4*k + 7*q - 9*q + 56. What is the highest common divisor of 52 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 2248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 5, -7, -0.06, 2\/17 in descending order.\nAnswer: 27, 5, 2\/17, -0.06, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3235? (a) 0 (b) 40 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 0*t + 2*t + (-2 + 3*t + 2)*(-3 - 1 + 3)*(2 + 1 - 2).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.4, -2\/15 in ascending order.\nAnswer: -0.4, -2\/15, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22311962 is divided by 299?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11000 (base 2) to base 8\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-540)\/((-60)\/(-4))*440\/132?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/48*(-1)\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 8. Let p(b) = -2*b + 17. Let x(i) = 4*p(i) - 9*r(i). Suppose 4*t = -5*y - 321 - 82, 3*y = -4*t - 405. Let v = -102 - t. What is x(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73815?\nAnswer: 3, 5, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359717.\nAnswer: 3, 453239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 78*f**2 - 410*f + 455. Calculate g(33).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 0.79. Let s = 0.010006 + h. Round s to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1047 or 1046?\nAnswer: 1046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/(-21))\/(8852668\/885269 - 10)?\nAnswer: 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plppppplpppppppllpp. What is prob of picking 2 p?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7691 + -7714.264. What is n rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(110) - 1*sqrt(110)))\/(((2*sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(7)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 890 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 1, o: 3}. What is prob of sequence go?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -836 + 516 - 14*z + 333 to the form y + n*z and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9364 in -0.08, 3, -2, -0.2, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17020, 34028, 51038, 68050, 85064?\n\"Answer: f**2 + 17005*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -185.49105281 - -0.3\nAnswer: -185.19105281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3626376*c**2 - 13 + 13.\nAnswer: -3626376*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 874 + 96 = 465. Calculate the remainder when 329 is divided by g.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 170 - 134995?\nAnswer: -134825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - ((8 - -26) + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -4 + 7\/4*d**4 + 0*d**2 + 0*d - 5\/3*d**3. What is the third derivative of z(t) wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 51*i - 5297. What is l(104)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 328846 divided by -581?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4007 = -174*b + 169*b, 5*x + 3*b = 6667. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*z = 2*l + 632, 0 = -2*l + 8. Suppose -5*s = -2*p + 223 - 77, -4*p - z = 4*s. What is the units digit of (-3)\/2*(s + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*b - 220*b = 89*b + 2034 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/3 - 55009*y**3\/3 - 110010*y**2 - 660044*y\/3 - 440024\/3 = 0.\nAnswer: -55003, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220 - -463)\/((-513)\/(-190))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -506 and -507 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/((-5)\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 9. Let o be s(-7). Suppose -o*q - 4*a + 20 = -2*a, -q + 4*a + 5 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 29*r**3 - 37*r**2 + 56*r - 9. Let f(b) = -21*b**3 + 28*b**2 - 42*b + 7. What is -11*f(u) - 8*q(u)?\nAnswer: -u**3 - 12*u**2 + 14*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 260 - 264. What is the smallest value in -1\/4, 1\/44, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100410 (base 5) to base 12\nAnswer: -1a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 155 = 3*n. Let x = 67 - n. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 5*h + 2*z, -4*z = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.1\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 403 - 399. Solve 2*r + k + 4 = -j*k, -5 = r + 4*k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 1 + 111 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1.43, 5\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 72. Let m(j) = j**3 + 6*j**2 + 5*j + 2. Calculate the remainder when m(w) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114\/38*(-12)\/(-4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 149? (a) -0.2 (b) -287\/9 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:32 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 2*a**2 + 1. Let p be l(1). Let m = 5 - p. Let y(c) = -2*c**2 - 12*c + 2. Let h be y(-6). Solve -2 - h = -m*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m**2. Suppose 0 = 2*r - 4*s + s - 10, -4*s = 4*r. Let l(j) = -j**2 + 3*j**2 + 7*j**r - 7*j**2. Give l(t(w)).\nAnswer: 512*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 8*p + 1. Suppose 3*q = 2*n - 6*n + 21, -q = -n + 14. Let r be d(n). Let x(c) = -2*c + 4 - r + 4*c. What is x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 2, -3, 105915, -4 in decreasing order.\nAnswer: 105915, 2, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3189 and 106?\nAnswer: -338034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 307908128 divided by 9622129\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/6 + 11\/15. Let y = 205.971 + 0.029. Let c = -201 + y. Put 4\/9, b, c in increasing order.\nAnswer: b, 4\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 + 2*y + 32 - 6*y**2 - 156 + 6*y**2.\nAnswer: 9*y**2 + 2*y - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-288)\/2240*(-10)\/(-6))\/((-18)\/21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 21. Let o be r(5). Let w = -32 - o. Let x be 105\/w*11\/((-22)\/128). What is x rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -112, -174, -280, -430, -624, -862?\n\"Answer: -22*r**2 + 4*r - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 + 326149*a**3 - a**2 - 36624407.\nAnswer: 60*a**2 + 1956894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 13 + 9 + 173*y.\nAnswer: 173*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120990974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2851970, -5703931, -8555892, -11407853, -14259814?\nAnswer: -17111775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -313954.88 rounded to the nearest one hundred?\nAnswer: -314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2701, -5378, -8027, -10642, -13217, -15746, -18223?\nAnswer: -20642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/16 + (-88902)\/(-144) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58229\/4734 + 2\/11835. Let g be (-722991)\/92232 + 2 - 2\/7. Let s = -1\/2196 + g. What is the common denominator of z and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 16*a + 1 = 0, 3*z - 42 = -4*a - 37 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (20\/(-5) - -1). Suppose -u - 790 = -q*c, -2*c + 4*u - 1311 = -7*c. What is the remainder when c is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 272*j + 9248.\nAnswer: 2*(j + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6*g**(-5)*(g*g**(-4))\/g**(-1)*g**6\/(g\/g**(4\/3)*g)*(g*g\/(g\/((g**0\/g)\/g))*g)**(7\/4) assuming g is positive.\nAnswer: g**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2047*t - 2049*t = -64, 3*t - 41 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:22 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16633139 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101001101111001011111100 + 1?\nAnswer: -1101101001101111001011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, -10644, -2?\nAnswer: -10644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(13))*-6 - (sqrt(13) - (sqrt(143)\/(sqrt(44)\/sqrt(4)) + sqrt(13))))**2 + 5.\nAnswer: 60*sqrt(13) + 366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -272 * 1.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12*w. Let p(z) be the second derivative of z**3\/6 + 18*z. Determine c(p(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-28))\/(-2*4\/(-128))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -16*x + 19. Let b(w) = 11756*w. Determine c(b(l)).\nAnswer: -188096*l + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1569*n**2*w**2 - 899*w**2 with respect to n.\nAnswer: 3138*n*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:55 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -27\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p**2 + p)*(-4*p + 3*p + 6*p)*(-75 + 75 + 24*p).\nAnswer: 240*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-45))\/((-7)\/35)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.11, -0.1, -25, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4862926553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*x - 28. Suppose 0 = -x*c + 5*t + 17, 4*c = -0*c - 2*t - 18. Let a be c\/9*-3*9. Solve -4*g - 6 - a = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 57*m**2 + 162*m.\nAnswer: m*(m + 3)*(m + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245011 (base 7) to base 9.\nAnswer: 67574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f - 5*f + 45. Suppose 81 = f*s + 72. Solve s*m - 20 = 8*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 1, x: 1, t: 1, y: 1, k: 1}. Give prob of sequence xot.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5765*p - 338032 = -1197*p for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -119. Which is the closest to 6? (a) p (b) -0.3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 3*p**3 - 7*p**3 + 2*p**3 - 2*p**2.\nAnswer: -2*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -0.16, 22\/5, 309?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-31)\/((n\/(n*n**(-1\/3)))\/((n\/(n*n**(-1\/5)\/n*n))\/n*n)) assuming n is positive.\nAnswer: n**(-467\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 3664?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2 (c) 2\/89 (d) 2\/5 (e) 15\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + 1420.\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 14 + -43 + (-442)\/(-26)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2. Suppose -5*a = a - 18. Let i(m) be the first derivative of 0*m + 0*m**2 + 9 + 2\/3*m**a. Give h(i(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3819431 divided by -5.\nAnswer: 3819431\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 286947115 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(6\/7)\/d)\/d)\/(d*((d\/(d**(1\/3)*d))\/d)\/d*d))\/(d**24\/(d*(d\/d**(-5\/8))\/d)))**32 assuming d is positive.\nAnswer: d**(-15580\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*o + 26 = 0, -4*v - 3*o + 35 = v. Solve -l - 6 = -v*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2\/7, 0.5, -0.056?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*-10\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.50993 microseconds in nanoseconds?\nAnswer: 72509.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 918598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/6, -0.5, -61\/5, 9, -4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3316056?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/11)*l**(6\/13))\/(l**(-1)\/l)**(1\/41) assuming l is positive.\nAnswer: l**(1393\/5863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(0 - -2) + -3. Let h be w\/2 - 497\/(-7). Find the first derivative of h*k - 74*k + 8 - 1 wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.31 and 0.583949565.\nAnswer: 0.273949565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 8*w - 8. Let v be m(9). Let s be v + -1 + -1 + 3. Let q(g) = 2*g - 3*g + s*g - 2*g. Let o(t) = -t. Determine o(q(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = m - 5*j, 5*j + 7 = 2*m - 21 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-595)\/(-70))\/(3\/(-6))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1) + (19 - (-44 - -73)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 1. Let y(d) be the first derivative of -d**3 + 5*d**2\/2 + 3*d - 3. Suppose 2*z - p = 4*p - 28, p = 5*z + 1. Give z*y(v) + 5*b(v).\nAnswer: -3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 8 + 3 + (-2 + 5 - 2)*(0 + 4 - 2))*(-10*r + 1 + 2*r - 2).\nAnswer: -248*r - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t*t**(-1)*t)))*t)**(-11)*(t**(2\/5)\/t)**(-29) assuming t is positive.\nAnswer: t**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -235.\nAnswer: -3\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9813*a + 39*l - 117 = -9818*a, -5*a + 2*l = 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10910*g - 32736. What is a(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5380250.000325 - -5380175. Let m = 75 + c. Round m to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - a - 3*a + 35, 5*p = 5*a - 10. Let k be 3\/(p\/2 - 0). Factor -k*w**4 - w**5 + 5*w**4 - 2*w**5 + 2*w**3 + 4*w**5.\nAnswer: w**3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1725, 17165, 61695, 150693, 299537, 523605?\nAnswer: 838275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 555\/179?\nAnswer: 555\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 - 20*k**2 + 18*k + 20. What is the hundreds digit of f(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = 1392577*w - 1392606*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q + 28077 + 3698 = -15*q. Calculate the highest common factor of q and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*w + w**2 - w - 4835*w**4 + 0*w**2 + 4832*w**4 in the form b*w + f + x*w**2 + p*w**3 + s*w**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in -1, -6\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 60 = 2*g, -2*g - 14 = -k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r**3 - 224*r**2 + 6*r - 82. What is b(-15)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22874261.\nAnswer: 197, 116113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 3\/5, 0, -109, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/260491 and 23\/132?\nAnswer: 3125892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-272)\/16)\/(-17)*-38.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18465 - 1564*i - 18465 + 1560*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 + 4*j + 6. Let w be s(-3). Let y = -22 + w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(9\/(-102)) - 18\/27. Let d(k) = -7*k + 107. Let x be d(19). Sort x, s, -5 in descending order.\nAnswer: -5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*r + 377 - 315. Let n(v) = -v**3 + 9*v**2 - 8*v + 3. Let k be n(8). Suppose 6 = -k*m + 6*m. Solve r*f - 12 = -2*o + 3*f, 0 = f + m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5511 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5040 and 4455.\nAnswer: 498960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*t - 1636, t + 2*t = -5*z + 4074. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5171 is divided by 272.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -54. Which is bigger: 15 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24132 - 6131 = -1100*y - 2099 - 26100 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -17 - 9. Suppose 3*p - 4 = 4*v + 1, 5*p - 2*v = r. Suppose p*x + 224 = 671. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*c**2*v**4 - 2729*c**2 - c + 346*v**4 - 6 with respect to v.\nAnswer: 188*c**2*v**3 + 1384*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32743197.\nAnswer: 3, 149, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 249.433 + -0.433. Let x = 232.3 - f. Let m = -16.70107 - x. Round m to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10223\/5 + 2045. What is the closest to -5\/6 in -2\/11, 1\/5, r, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35\/(-21))\/((-2)\/24). Solve -5*d = z - 6*z - r, -5*d + 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, c: 8, f: 4, w: 5}. Give prob of sequence fffi.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4704*o - 23498. Give u(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 - 6*l**2 - 8*l + 4. Let p = -7 - 0. List the prime factors of v(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66*((-342)\/(-27))\/19*5\/(-60)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 5. Let m = 2 + -4. Let z(w) = 9*w**3 - 11*w + 7. Let q(r) = -5*r**3 + 6*r - 4. Let i(b) = 7*q(b) + 4*z(b). Let p be i(m). Give k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/15485 + -17\/815. What is the fourth biggest value in -0.05, -0.5, 3, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219, 1218, 1217?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18217.71926 + -18218. Let c = -16.72 + 17. Let z = i + c. Round z to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 2, w: 6, l: 1, h: 2}. What is prob of sequence iww?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/3))\/(a\/a**(-4\/7))*a**(-1)*a*a**(5\/2) assuming a is positive.\nAnswer: a**(109\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*v**2 - 36769*b**3 + b**2 + 20*b*v + 620*v**2 wrt b.\nAnswer: -6*b*v**2 - 220614*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-134757)*93*399?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = -29*m + 161 - 323 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*z = 14*z - 1410 - 1516 + 924 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13371938 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/7284181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (2 + sqrt(425))**2 + sqrt(51)\/sqrt(3)*-6.\nAnswer: 15*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 + 13*u. Let n(d) = -5*d**2 + 20*d. Let o be 8\/(-3)*(-6)\/(-30)*(-180)\/(-12). What is o*h(x) + 5*n(x)?\nAnswer: -x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -42743?\nAnswer: 17097.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26759019*l + 3 - 5 + 2 - 26759017*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-10 + 2)) + -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22147 + -22150.6. Which is greater: 16\/55 or o?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - z + 74 - 53 = 0, -21*z + 358 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 34449*q - 1612476.\nAnswer: -3*(q - 11436)*(q - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7760173 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 150\/120 + 10\/(-8). Suppose 3*m - b = -a*m + 2600, 12 = 3*b. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -33767, -33779, -33791, -33803?\n\"Answer: -12*x - 33755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2\/15, 0.64 in descending order.\nAnswer: 3, 0.64, 2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 15*y + 9. Let z be c(13). Suppose -28*q - 14 = -z*q. Solve -3*a + 5 = -3*b - 4, -5*a + 29 = q*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91497 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -37\/5 (b) 41 (c) -4\/83 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5408871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 6 + -2 + 6 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26823)\/(-2)*(-20)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 10*r + 18. Let u be i(8). Solve -u*m + 20 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/9 - 2180*b - 1077408.\nAnswer: -2*(b + 522)*(b + 9288)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 42*t**2 + 19*t + 74. Let x be k(-6). Let b be (-4)\/22 + x\/352. Solve 0 = -0*c - b*c - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 378.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -12*b - 81. Give v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 146220315?\nAnswer: -146220312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 65. What is the highest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 466, 649, 814, 955?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3606 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.285299 decades to months.\nAnswer: 274.23588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:09 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose -13 = -10*d + 5*d - y, n*d - 2*y = -2. Suppose -5*o = -3*b + 31, -1 = -2*b - o - 2. Solve 5*t + 21 = -4*j, -b*t + 4 = 2*t - d*j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-5))\/(828\/105). Let q = j + 12\/23. What is the third biggest value in q, 0, 1\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a hour in seconds?\nAnswer: 15300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(363) + 2.\nAnswer: -2 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 r when four letters picked without replacement from {j: 1, q: 4, r: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 3:12 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -182 - -100?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 446, 1007, 1568, 2129, 2690, 3251?\n\"Answer: 561*l - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*n = -1181 + 437 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300115 is divided by 50013?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248*s + 1245*s = 3*r + 57, -3*r = -2*s - 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -39. Suppose t*z + 4 = z. Let d(n) = 5*n**3 - z*n**3 - 3*n**2 - 1 + 0*n**3. What is d(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-35 - -44 - (-2 + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 74\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 2. Suppose -5 = -3*p + 4. Suppose 32 = 4*o - 5*g, 0 = -5*o - 3*g + p. Sort o, q, -3 in descending order.\nAnswer: o, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905033269.\nAnswer: 7, 47, 2750861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.43 + 465.57. Let a = y - 481. Suppose m + 0*m = 1. What is the fourth biggest value in -0.4, a, m, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**5 - 5541*h**4 + 793656*h**3 - 30449616*h**2 + 206923776*h - 389873664 = 0. Calculate h.\nAnswer: -1983, 4, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -1 + 0 + 558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + u - 2*u + (-2*u - 6 + 6)*(-325 - 2684 - 1555 - 734).\nAnswer: 10593*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 341? (a) -0.1 (b) 5 (c) -0.4 (d) -1\/230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/60 + q**4\/2 - q**3\/3 + 352*q**2. What is z(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/9)*s*s**1*s*s)**46 assuming s is positive.\nAnswer: s**(1564\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 1. Let q be g(3). Suppose 0 = 2*t + 4 - 16. Suppose 2*b = t*b. Solve -2*z = q*h - b*h - 12, 5 = h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-30))\/((-11)\/55). Which is the third smallest value? (a) h (b) 1\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 10 - 5 = 0. Solve -2*b + 3 + w = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2 - 35*h - 1 + 37*h. Suppose -2*m - 3*n - 5 = -7*m, -m = -3*n - 1. What is w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11\/4, -4, -21 in decreasing order.\nAnswer: 0, -11\/4, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3113, 24941, 84187, 199559, 389765, 673513?\n\"Answer: 3118*f**3 + f**2 - f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20158 - -123?\nAnswer: 20282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9151 - -9154. Determine k so that -4\/7*k - 6\/7 + 8\/7*k**2 + 4\/7*k**z - 2\/7*k**4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3635 + 88618?\nAnswer: 84873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 8. Let d = 28069 + -28070. Let p(i) be the second derivative of -i**2\/2 + i. Give d*c(u) + 6*p(u).\nAnswer: 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/270*(8\/28 - (-186)\/84).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 17. Let n(y) = 53*y + 6. Let h(i) = -35*i - 6. Let c(d) = -3*h(d) - 2*n(d). Calculate 8*c(g) - 3*q(g).\nAnswer: 4*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4724*o + 562144. What is m(119)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 15. Let u be m(-4). Suppose 42 = -u*f + 6*f. Suppose -f = 4*l + 6. Let d(v) = -v**2 - 8*v - 2. Give d(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*h**4 + 1023*h**3 + 714*h**2 - 288*h = 0. What is h?\nAnswer: -48, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136831?\nAnswer: 293, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18191, 72625, 163343, 290345, 453631, 653201?\n\"Answer: 18142*h**2 + 8*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2032 + 3389. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + (10 - -15) + -6 + -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 244814*r + 1224052. Determine d(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.7355828 to two dps.\nAnswer: 14.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2 - 2\/4. Let m = 510 - 510. Put -5, s, m in decreasing order.\nAnswer: s, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -485 - -0.033041041755.\nAnswer: -484.966958958245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 801045486 from 0.077.\nAnswer: -801045485.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 172941667766.\nAnswer: 172941667767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 14 (c) -0.4 (d) -1\/8 (e) 0.3195\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3158664.\nAnswer: -1\/1579332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 32 = 3*w, 0*w + 5*w = 3*i + 58. Let f(h) = h - 11. Let g be f(17). Suppose 0 = -3*x + g - 0. Calculate the smallest common multiple of w and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 17. Let c = a - 8. Suppose c = 3*t + 16 - 4. Is -4 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22174 (base 8) to base 5.\nAnswer: -244330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3570 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -165 + 103. Let q = 64 + c. Put 2\/5, q, 3 in descending order.\nAnswer: 3, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 536, 546, 568, 608, 672, 766, 896?\n\"Answer: n**3 + 3*n + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74059119 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**2 - 10*j - 6. Let s(f) = f**3 + f**2 - f + 1. Let t(v) = d(v) - s(v). Suppose -2*c + 22 = -3*m, -4*m + 2*m = 4*c + 4. What is t(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -0.01033 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3 + 149301*u**2 + 149300*u = 0 for u.\nAnswer: -149300, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (1 + sqrt(176) + -1))**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -0*t. Let s be -6 + t + 2 + -3. Let p = s + 2. Sort 2, p, -2.\nAnswer: -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + c + 3, -25 = -55*c + 60*c. Suppose 144\/5 + 192\/5*z + 4\/5*z**3 + 52\/5*z**g = 0. What is z?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h + 27*h - 11*h)*((-2 - 2 + 3)*(-2 + 5 + 0) - 1 + 1 + 2)*(-3 - 4 + 1)*(-6*h**2 - 8*h**2 + h**2) to a*h + q*h**2 + r + f*h**3 and give f.\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 621 - 119 - 125 - 123 - 130 - t.\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**7\/630 + o**6\/180 - o**5\/180 + 7*o**2\/2 + 6*o. Let s(c) be the first derivative of n(c). Factor s(z).\nAnswer: -z**2*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, -1\/2, -1\/5, -1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 72 = 8*l, 5*l + 113*b = 110*b - 43 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19692067.\nAnswer: 97, 203011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, y: 2, w: 1, n: 1, s: 4, f: 5}. Give prob of sequence xyy.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153032\/12 + (-52)\/78?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355470 - 19263*d**2 - 355470.\nAnswer: -19263*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20971850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 - 16*c + 1. Let f(j) = 3*j**2 - 15*j. Let y(m) = 4*a(m) - 5*f(m). Let v(p) be the first derivative of y(p). What is the tens digit of v(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11584, -23167, -34750, -46333?\n\"Answer: -11583*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((153\/(-18))\/17)\/((-6)\/28)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-6)*6 - 3. Suppose u*a - 4*a + 120 = 0. Let d = -18 + a. Solve d = -0*r - 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256053839, -256053836, -256053831, -256053824?\nAnswer: -256053815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1309128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33538134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 1266 - 2574 = 0. What is the third biggest value in 0.2, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from yffyyyzfffffyzf.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52*13\/507 - ((-99)\/27 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 22. Let x = f - 16. Suppose 3*h = x*c - 40, -c + 3*h - 40 = -6*c. Solve y + 4*v - c = -3*y, 3 = v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 + 16*s + 9. Let y(w) = -2*w**2 - 4*w - 3. Let x(n) = -2*o(n) - 7*y(n). Determine x(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-4))\/(-36) - (-44)\/(-90). What is the smallest value in l, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -23*q + 1. Let j(v) = -6*v. What is j(g(y))?\nAnswer: 138*y - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1\/2. What is the nearest to n in 3, 2\/17, -0.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306017.\nAnswer: 17, 47, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - -5 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234909, 469819, 704731, 939645, 1174561, 1409479?\nAnswer: 1644399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 944 = -5*c + 3161, -c = -3*a - 802. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -496*a + 1005*a - 375*a - 341*a - 463*a + 3 to d*a + s and give d.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u**2 + 75*u - 18. Let c be f(8). Let y(i) = -i**3 + 6*i**2 + 2*i - 14. Give y(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + k + 4 = -i, i = 3*k - 12. Suppose 11*p - i = 10*p. Solve 3*x + p*w + 0*w = 21, 4*w = -x + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2235029256.\nAnswer: 2, 3, 31042073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 5:10 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/54*(-18)\/8\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 34*n = -2*s - 5, s - 4*n = 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 973484*p - 8698*p**2 - 973484*p in the form d*p**2 + c + a*p and give d.\nAnswer: -8698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31930866 - 31930699.00089. Let c = 167 - a. What is c rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/703330537 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o**3 - 20*o**3 + 5*o**4 - o**2 - 1 + 3 to the form a*o + z*o**4 + h*o**3 + n + b*o**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*(-3)\/15)\/(4600\/(-178250))*4\/6.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**3 - 3 + 3 + 31*f**3 + 120*f - 17*f - 41*f.\nAnswer: -2*f**3 + 62*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152735090 to the power of 1\/2, to the nearest integer?\nAnswer: 12359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 411157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2. Let c be ((-105)\/(-25) + -5)*(-5)\/2. Let x(z) = 153*z + 18*z**2 - 153*z - z**c. What is h(x(f))?\nAnswer: 578*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-4) - -3)*-2. Suppose s*x - 306 - 306 = v, 5*x + 3*v = 1006. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -p - 7 - 13, 5*v = -2*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -57.9. Put 4\/3, 0, u in decreasing order.\nAnswer: 4\/3, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3780 - 3785. Which is the second smallest value? (a) w (b) -50 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 739\/44 + -5305\/308. Which is the smallest value? (a) -10 (b) j (c) 1\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1343013 or 4029040\/3?\nAnswer: 4029040\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6091133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*y**4 + 107*y**3 + 24*y**2 - 3*y + 1195187.\nAnswer: -12*y**3 + 321*y**2 + 48*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -130\/101 or 6828?\nAnswer: -130\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001572 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -327611, -327612, -327613?\n\"Answer: -w - 327610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -83\/4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - -5. Let l = x + -16. Let m = 57 - 36. Calculate the remainder when l is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(50) + (5*sqrt(250))\/sqrt(5))**2.\nAnswer: -10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 5.5. Let i = x - -4.9. Let r = 0.4 + i. Which is the closest to 0? (a) 5 (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 26. Suppose -v*g = -3*g + 49. Let f = g + -45. Solve 0 = -f*n - 0*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*v**5 - 4*v**3 - 52*v**2.\nAnswer: -480*v**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 24601*o**2 - 12301*o**2 - 12300*o**2 + 2*o**5 + 38*o**4 - 84*o**3 = 0.\nAnswer: -21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10264441 + 10?\nAnswer: 10264451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(4\/5)*s**(3\/4)*(s*s*s\/(s\/s**0))**(1\/10)*(s\/(s\/(s**1\/s)*s)*s)\/s**(-6)*(s**1\/s)**(-7\/3) assuming s is positive.\nAnswer: s**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-98)*(-21)\/(-6). Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 1. Let w(f) = f + 7. Let d be w(-6). Let c(m) = -m - 4. What is d*c(z) + 4*q(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from kkmmkkmkmk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -456, -460, -466, -474, -484?\n\"Answer: -p**2 - p - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-2*f + 2*f + 2*f)*(6 + f - 6) - 233*f**2 + 1219*f**2 - 29*f**2.\nAnswer: 955*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*t**5 + 176*f**2 + 8*f*t**2 - 1435*t**4 wrt t.\nAnswer: 60*f**2*t**2 - 34440*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (21 - (5 + 17) - 13).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2704 + 5262. Are t and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 20*o**2 - 21*o - 30. Let f be h(21). Let p be (-702)\/f - 0 - 4\/10. What is the highest common factor of p and 299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b + 70 = 0. Calculate the greatest common factor of b and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5075.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 7*z**2 + 14*z - 24. What is the units digit of t(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3 = 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4250*x + 15 = -4251*x + 5*v, 3*v = 4*x + 9. Solve -3*l + 19*l - 48 = x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 12. Let a be k(-8). Put -2, -3, a in ascending order.\nAnswer: a, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {v: 1, i: 3, t: 1, g: 4, q: 3, u: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3231 = 3*y, y - 1531 + 454 = -v. What is the remainder when 3241 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 55*n + 131. Let x be k(-57). Solve -14*r = x*r + 124 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6989 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from {h: 2, e: 7, r: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10030 + 12586. Calculate the remainder when u is divided by 318.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:50 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - q**2 - q + 2. Let k be l(0). Let u(n) be the second derivative of n**3 + 1\/6*n**4 - n + 2*n**k + 0. Factor u(m).\nAnswer: 2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 57\/5 of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-11543924.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5311 (base 11) to base 5\nAnswer: -211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -232, -353, -490, -649?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5115086?\nAnswer: 2, 881, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1156, 8, 1\/2?\nAnswer: 1156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -172 (base 11) to base 13\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-36)*3*(-12)\/27?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101111110010000000 + -100?\nAnswer: -10111101111110010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12*b**2 + 17*b - 63. Let f(u) = 5*u**2 + 9*u - 32. Let w(v) = -5*f(v) + 2*j(v). Let q be w(-13). Let n(p) = -p + 16. Calculate n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.14 (c) -4\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377625416?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-21 - 1)) + 25 + -36 - 98.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -138*g**3 + 7*g**2 - 5089*g - 25426484?\nAnswer: -414*g**2 + 14*g - 5089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04504 to 4 dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 78 - 1 - (-5 - -5). Suppose 86 = -4*o - 66. Let f = u + o. Find the common denominator of f and 19\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - -2) + 3 + -4. Let s be ((-192)\/30)\/(4\/c). Does 7 divide (-2 + s\/10)*-80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 2*c**2 + 2*c + 72. Suppose p + 2*p + 9 = -4*l, -l - p - 3 = 0. Let x be b(l). Calculate the greatest common divisor of 54 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 8*l)*(-196*l - 378*l + 1193*l).\nAnswer: 4952*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5721*d + 2345.\nAnswer: -5721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 42\/12)\/(-2). Which is the nearest to -0.2? (a) n (b) 5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 1267, 0, 2 in ascending order.\nAnswer: -14, 0, 2, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3422231150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 286*r**2 - 460 - 81*r - 375*r - 282*r**2.\nAnswer: 4*(r - 115)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2. Let y(c) = c**2 - 1. Let d(f) = -4 + 0*f**2 + 1 - 5*f**2 + 7. Let r(q) = -d(q) - 4*y(q). Calculate r(a(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.95 + 0.05. Let t = 12 + -4. Let z = d - t. Which is the closest to -1\/2? (a) -5 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 11*x**2 - 26*x + 4. Let o be p(-7). Let b = o + -1064. Find k such that -1\/4 + 0*k + 0*k**3 + 1\/2*k**2 - 1\/4*k**b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + z**2 - 3. Calculate l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.5583 + 11.51. Round t to three decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-48))\/((-4)\/(-8))\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 1:55 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3)*9\/(-15). Which is the second smallest value? (a) v (b) -7\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 193046 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -309 - -434. Let c = z - -150. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6765 + -6757. Suppose p - 476 = 4. Calculate the greatest common divisor of p and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 3*g**2 - 7*g. Let q(c) = -c**3 - c**2 + c. Suppose 18*f - 13*f - 3*m = -12, 3*f + 4*m = -13. Give f*q(h) - v(h).\nAnswer: -h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z + 9. Let x be o(7). Let n(l) = 2*l - 4. Let k = 0 - -3. Let w be n(k). Sort 3, w, x in increasing order.\nAnswer: x, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -56, -72, -88, -104, -120?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*w**3 + 21*w**2 + 2*w - 82 + 21*w**2 - 42*w**2 + 5*w**3 wrt w?\nAnswer: 159*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/41 + 51\/205. Let d = 10937 - 32809\/3. What is the second biggest value in -2\/9, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 22*m - 10. Does 62 divide d(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*u - 179, -3*u + 5*u - 96 = -3*n. Calculate the greatest common divisor of 26 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5453\/226 or 24?\nAnswer: 5453\/226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-16))**(-23) assuming u is positive.\nAnswer: u**368","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 9*n**2 + 9*n + 7. Let f be l(-8). Sort 0.1, 1, f in increasing order.\nAnswer: f, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -343, -371, -419, -493, -599, -743, -931?\nAnswer: -1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4155551 is divided by 277?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -16. Let c = 11 + -5. Solve c*q = q + w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33637867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 12 = -4*y. Suppose 4*r - 2*w - 86 - 224 = 0, 0 = 3*r + 3*w - 255. Calculate the greatest common divisor of r and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2336360 * 14.8.\nAnswer: 34578128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -16*x**3\/3 - 9*x**2 - 8. Find the second derivative of w(g) wrt g.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 4 - 13 - -6 - -11321.\nAnswer: 22636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -57. Suppose 2 = -5*m + 12. Let v(s) = -5*s**2 - f + 11*s**2 - s**3 - 3*s**m. Calculate v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15961 is divided by 7834.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*u**6 + 3*u**5 + 158*u**6 + 758 - 758 + 202*u**2 wrt u.\nAnswer: 32040*u**3 + 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (4 - -2) + 38 + -1. Suppose -166 = -p*n + 135. Solve 2*i = -u + n, -5*i + u + 3*u - 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytytyeyheyyht. What is prob of sequence tyte?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 413573143*m + 413573143*m.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*n - 130*n + 199*n - 42*n - 52*n.\nAnswer: -167*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -8 - (-1 - (-6 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.113 + 3.26. Let b = z - -71.853. Let k = b - 72.35. What is k rounded to 2 dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 31\/(-651)*-7*(0 + -12). Let q = 0.2 + 0.3. Which is the third biggest value? (a) 5 (b) z (c) q (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29945, 59979, 90013, 120047, 150081?\n\"Answer: 30034*s - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3015 divided by 5.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/4 + 1617*d\/4 - 405.\nAnswer: 3*(d - 1)*(d + 540)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o - 6. Let t(p) = p**2 - 8*p - 1. Let l be t(9). Let d = l + -4. Let b(q) = 6*q - 5. Give d*f(h) - 5*b(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -21*i + 129. Let k be c(6). Suppose 11*y - 14*y - 82 = -w, k*y - 282 = -3*w. What is the remainder when 362 is divided by w?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 7857*t + t**3 + 7857*t - 329*t**2 + 2*t**4 to k*t**4 + p + c*t**2 + d*t**3 + q*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - u + 103 = -110, 4*g + u = 285. What is the greatest common divisor of g and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4432020.\nAnswer: 2, 3, 5, 73867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194093222 to the power of 1\/2, to the nearest integer?\nAnswer: 13932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*z - 789 - 387 = 18*z for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2*4\/16*(77 + -737) is divided by 74.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 2:03 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53724223\/369 - -145594. Calculate the common denominator of -1\/328 and l.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 - 1?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4 + (-4)\/((-80)\/(-15)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -16*-0.05925\nAnswer: 0.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 2:34 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/9 - 2*w**2 + 11*w\/3 - 47. Let h(t) = 0. What is t?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - ((-1)\/1 - 1). Does 3 divide x + 51\/9 + (-218)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 + -142. Let n be 124\/2 + 11\/(33\/15). Let q = f - n. Sort q, 0, -0.3, -4 in increasing order.\nAnswer: -4, -0.3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/633 + -1348\/25953. Which is the closest to -1? (a) -0.5 (b) 2\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011010001110111000000 (base 2) to base 8.\nAnswer: 23216700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -316 or 2\/3?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 8:19 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l**5 - 1460*l**4 - 2445*l**3 + 2660*l**2 + 2420*l - 1200 = 0. What is l?\nAnswer: -2, -1, 2\/5, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 163.6379 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 11. Let c = x + 13. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmyfhm. What is prob of sequence hm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 334 and 329491.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110560874 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/6*306\/126?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iff when three letters picked without replacement from {d: 1, a: 2, i: 1, f: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469086 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -220, -755, -1472, -2251, -2972, -3515, -3760, -3587?\n\"Answer: 20*b**3 - 211*b**2 - 42*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 1 + 10)*(-3 + c - 2 + 3) + 1 - 2*c - 1.\nAnswer: 16*c - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 - 2*o**2 - 3*o + 3. Let z(p) = 11*p**3 - 5*p**2 - 8*p + 8. Determine -8*y(c) + 3*z(c).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12939\/35 - 1847\/5. Let w = 0 - -0.1. What is the closest to -2\/7 in t, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + 5*y)*(-5 + 15*y**2 + 5) - 253*y**3 - 346*y**3 + 196*y**3.\nAnswer: -373*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -81.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let r = 2 - t. What are the prime factors of r*2\/(-4)*13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 23\/12, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 38*l**2 - 45*l + 305. Let d be o(37). Let i be 2\/(-3*4\/(-114)). Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(0*i - i - i) + (2*i + 0 + 0)*(12 - 30 + 11)*(-2 + 3 + 0).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/((2\/4)\/(-1)). Let o be 1\/2*(x + 0). Solve 0 = s + 3*s + o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*n + 47. Let t(z) = -7*z - 17. What is the remainder when 60 is divided by t(n)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1119 = 4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -10 - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**2 + 456088*a - 912168 = 0?\nAnswer: 2, 228042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 29 (b) -1\/2 (c) -3 (d) -2 (e) -2.1 (f) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*v**4 + 0 + 108\/11*v + 0*v**3 + 54\/11*v**2 = 0. Calculate v.\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26324085 by 4.\nAnswer: 26324085\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 192ab - 14?\nAnswer: 19297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 54. Suppose 15900 = u*g - 8936. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2951 and 0.07.\nAnswer: 206.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 9\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 41 = -10*o + 5*o, -3*h = 3*o - 24. What is the fourth smallest value in 2, -0.5, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from {r: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 10:13 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 565 and 73123543?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -618, -1257, -2090, -3081, -4194?\nAnswer: -5393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3*w = 2, -16*w + 2 = -35*w + 16*w + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - 4*-1*sqrt(104)) + sqrt(104))\/(sqrt(8) - (sqrt(56) - sqrt(56)*3)\/sqrt(7)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2. Let h(w) be the first derivative of 1\/3*w**3 - 5*w**2 + 124 + 0*w. Calculate h(o(y)).\nAnswer: 16*y**4 - 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 67 = 22. Calculate the remainder when 20 is divided by 152\/12 + 6\/l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 1\/12*s**4 - 4*s + 0 - 5\/2*s**2 - 1\/2*s**3. What is the units digit of p(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.31 + 6.4554. Let d = o + -0.0354. Which is the closest to 0? (a) 1\/3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b958b1 + -4?\nAnswer: -b958b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7e05cd (base 16) to base 7.\nAnswer: 130125531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**3 - 17*d**2 + 22*d + 169. What is the units digit of z(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 135 = -2*o. Find the second derivative of -15*k**3 - 109*k**2 - o*k**3 + 109*k**2 + 31*k wrt k.\nAnswer: -144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (72\/40)\/((-1)\/5). Let t = k - -48. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62 + 1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 4 (c) -8.555\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 18*j**2 + 26*j. Let l(w) = -w. Give l(i(h)).\nAnswer: -18*h**2 - 26*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4320))\/sqrt(6).\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5, 4*s + 63 + 1228 = 5*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 160.108 - 160. Is 0.1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -521 - -520.9. Let g = -0.3 + 0. What is the closest to p in 1\/5, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2 + 2. Let d(b) = -b**2 + 2*b + 1. What is the units digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4\/11 + 46*w**3 + 47832*w**2\/11 + 2001376*w\/11 + 31258240\/11 = 0.\nAnswer: -68, -65, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(68\/80 + 18\/(-30)). Solve 3*y - o*j = -2*j + 9, -3*y = -4*j - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(192) + sqrt(192) + 0 + -1)*-1)**2*3.\nAnswer: -576*sqrt(3) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*b + 748*b = 39104 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - -3 - (3 - -1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 243140*d + 3161496.\nAnswer: -4*(d - 13)*(d + 60798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33045613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*h + 2 + 7, 4*h - 2*t + 22 = 0. Sort h, -10, 3 in descending order.\nAnswer: 3, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11513 is divided by 3824?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 408 = 294. Suppose q*f = 17*f + 66. Find t, given that 0 + 0*t**2 - 1\/2*t + 1\/2*t**f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -71, -174, -349, -620, -1011, -1546?\nAnswer: -2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**5 - 27135*o**4 - 162695*o**3 - 352425*o**2 - 325280*o - 108420 = 0.\nAnswer: -5421, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + 2*((1*(2 + sqrt(720)) - -1*sqrt(720)*1)**2 + -2)*-4.\nAnswer: -23058 - 768*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4161202 and 101\/66242.\nAnswer: 45773222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5085842540 to the nearest 100000.\nAnswer: -5085800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzuzprj. What is prob of sequence zzp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0 - 3)*-59. Let u = f - 59. Solve u = -5*t - 5 - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29562807559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**0*y\/(y*y*y*y**(-1\/11))*(y**1)**(1\/3) assuming y is positive.\nAnswer: y**(-19\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 46 + 20 = 3*j, -3*j + 4*m + 69 = 0. Let s(l) = -l**2 + 20*l - 2. What is the units digit of s(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:31 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 511491 or 511554?\nAnswer: 511491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {a: 10, r: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g + 42 = 2*n, -2 = -g. Suppose w + 4*o = 8*o + n, -2*w - 3*o = -10. Calculate the remainder when w is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from ddddjijjdbdij.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161779603 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26482680859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 11*t + 3 = -13*t, -2*v + 4*t = -10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 762503 is divided by 762431?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 467*b - 1025*b + 1933 + 1415 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -t - 22, 5*n - 47 = -3*t - 13. Let i(d) = -43*d + d**3 - 15 + 86*d - 7*d**2 - 34*d. Let v be i(6). Sort v, -4, n in increasing order.\nAnswer: -4, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*b + 16 = 0, -7*q - b + 24 = -2*q. What is the greatest common divisor of q and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 8*y**5 - 128*y**4 + 714*y**3 - 1674*y**2 + 1728*y - 648 = 0?\nAnswer: 1, 3\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 - 2. Let h = f - 4.1. Which is the third smallest value? (a) h (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/12*(-6)\/9 and 37\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35300 - -204?\nAnswer: -35052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.05 - -0.05. What is the fourth smallest value in 3\/8, 1\/5, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/9 + 4\/(-18). Let f(u) be the first derivative of 213*u**3 - u**2\/2 + u - 11. Is f(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*y - 25 = 0, 15 = -5*w - 2*y - 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104)\/(-2 - -6) + 189\/27.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 6:38 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086058087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*sqrt(325) + sqrt(325) + 0 + sqrt(325) + -4 + 4 + -4)**2.\nAnswer: -200*sqrt(13) + 8141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -37158415\/8 greater than or equal to -4644803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.2 * -1.\nAnswer: 37.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/14, -3, -5, 41, -2\/9, -4, 89?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 504, 265, 28, -207, -440?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.922469s?\nAnswer: 5922.469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14425 and 50776.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**5*k)\/k)\/(k\/(k**(-6\/5)\/k)))\/(k**(-4\/9)*k**(-5)) assuming k is positive.\nAnswer: k**(-79\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*x + 5, 12*b = x + 13*b. Solve -4*j + 12 = 4*n, x*n - 9 = -2*j + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 1, y: 2, u: 2, a: 10}. What is prob of picking 1 u and 1 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.885 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 9, x: 1, k: 1}. What is prob of picking 1 v and 1 x?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1722 divided by 6.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 52*w - 19. Give x(53).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-3 - (0 + -3)). Which is smaller: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3643*g - 3686*g + 2 + 7393*g.\nAnswer: 64*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*z - 93 - 663 = -33*z + 148 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -649, 10 in ascending order.\nAnswer: -649, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:29 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 1. Let q(j) = -2*j. Let v(z) = -4*n(z) - 4*q(z). What are the prime factors of v(4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18669, -37351, -56033?\nAnswer: -74715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.7, -0.2, -4\/37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 917104396?\nAnswer: 2, 13, 613, 28771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -14.86856?\nAnswer: -178.42272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14508 - 14516. Suppose 3 = -j - 0*j. Let f(l) = 11*l + 3. Let c(r) = -4*r - 1. Determine j*f(q) + t*c(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from vtggxxlkt.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {x: 2, g: 2, e: 10}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-166)\/54)\/(0 + 13\/(-117))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17216 - 7208. Suppose 0*a + a + 7498 = 3*w, -4*w - 4*a = -o. What is w rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**5 + 24950*q**4 + 1460020*q**3 + 26532250*q**2 + 138684375*q = 0.\nAnswer: -4931, -25, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmvy when four letters picked without replacement from {y: 4, h: 2, m: 3, v: 2, o: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.9782 years in millennia?\nAnswer: 0.1999782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 12*i - 10. Let f be l(-13). Let g(n) = 3 - 15*n + f + 1 + 13*n. Calculate g(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Let y = 4 - 1. Suppose 2*u - y + 1 = 0. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -101*p**2 - 10*p.\nAnswer: -p*(101*p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 571.91484*-3\nAnswer: -1715.74452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -137427 not equal to -137427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.1 and 70.3.\nAnswer: 72.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 q when three letters picked without replacement from {v: 6, q: 2, d: 7}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.204 * -5.\nAnswer: 11.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**3 + 6*i**2 - 4*i + 4. Let b(w) = 16*w**3 - 30*w**2 + 21*w - 20. Let k(p) = 2*b(p) + 11*j(p). What are the prime factors of k(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*l**2 + 60*l**2 - 438*l**3.\nAnswer: -438*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85\/3 - -29. Which is the nearest to 1? (a) j (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*f - 9, -2*y + f = -8. Suppose -y*x + 231 = 4*r, -12*r + 10*r + 132 = -4*x. Calculate the least common multiple of 24 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-15)\/(-27))\/(14\/(-12) - -2). Let j = -0.1 - -0.2. Which is the nearest to -1? (a) 7 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 4*c, 5*c + 10 + 6 = -3*r. Let j = 28 - 29. Is r at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o = 8*o - 36 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 10:02 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 698535 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2314 - 231?\nAnswer: -3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 2*k**2 + 4*k**2 + k**2 + 2*k**2 - 2*k**2 + (0*k - k + 2*k)*(3*k - 5*k + 3*k) + k**2 + k**2 - k**2)*(3*k**3 + 2*k**3 - 4*k**3).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 16 + -11 + 3 + (-11 - -1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 - 62*i - 56. Let a(n) = -23*n**2 + 187*n + 168. Let d(r) = 2*a(r) + 7*z(r). Factor d(c).\nAnswer: -4*(c + 1)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*b - 4 = 0, -3*b + 3 = -0. Let x(s) = 2*s + 2. Let j be x(z). Suppose -j = 2*k + 4. Sort k, -2, 3 in descending order.\nAnswer: 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 4*s**2 - s**2)*(-2*s + 5*s - 2*s) + 2*s**2 - 12*s + 12*s - 4*s**3.\nAnswer: -5*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12804479*a**2 + 3*a - 184377?\nAnswer: 25608958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 19 + -5 - -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273125 and 180044?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220503?\nAnswer: 3, 31, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let x be f(-10). Suppose 7*p - 126 = x*p. Let j = -30 - p. Calculate the remainder when 23 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3376203 is divided by 19977.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-815)\/25 - (-2)\/(-5). Let w = s + 79. Calculate the remainder when w is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u**3 + 6*u**2 - 3. Let m(r) = 0 - 11*r**3 + 2*r**3 - 1 + 5*r**3 + 2*r**2. Calculate -17*m(h) + 6*v(h).\nAnswer: 2*h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1102*u**4 + 713*u**3 + 3568262*u**2.\nAnswer: -26448*u + 4278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-874)\/(-570))\/23)\/(2\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -f + 10, -4*f + 44 = -z - 3*z. Let s be 14\/42*f\/1. What is the units digit of ((-55)\/15 + s)*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 288*y - 991. List the prime factors of h(91).\nAnswer: 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6 - 0. Suppose -39*k = -24*k - 360. What is the least common multiple of (-12)\/27*6*(-198)\/k and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 10. Let y be ((-3)\/(-2))\/(60\/496). Let d = y - 13. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/348 - (2676\/(-1566) + 2). What is the third biggest value in 19\/6, j, 4, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*33.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17948 by -77.\nAnswer: 2564\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2424 + -4851\/2. Put r, -2\/13, 6.3, -0.4, 1\/8 in ascending order.\nAnswer: r, -0.4, -2\/13, 1\/8, 6.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/1482900 and 61\/12?\nAnswer: 1482900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12 and 6\/(-854)*651\/186.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)\/b)\/b**29 assuming b is positive.\nAnswer: b**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6*(3 - (-34)\/(-6)). Let l(f) = f + 33. Let q be l(v). Solve 4*h = -j - q, h = 5*j + 4*h + 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1152)\/10764*1183\/(-364)\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -439 (b) 0.14 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -c - 100. Let k = -89 - c. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6104406 by -184982.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5112 divide 396696312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354342 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: Let q be ((-15)\/(-10))\/((-10082)\/8 + 1). Is q < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58950.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*v - 6 + 10 - 4)*(0 + 2 - 7 - 3 - 2 + 3 - 3 + 3 - 2 + 4 - 4 + 1 + (1 - 5 + 3)*(0 - 1 + 2)) in the form l*v + r and give l.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2050 and 100150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50478 and 1918164.\nAnswer: 1918164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Let t = z + -1. Suppose -l + t = -0*l, 4*l = -3*y + 21. Solve 0 = y*q - 0*f - 4*f + 8, f = 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 13*b - 11. Let z be t(-5). Which is greater: 4\/69 or z?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + 0 + 2 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52.5 and 20.\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, -0.14106, 11?\nAnswer: -0.14106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/30 - 53*w**4\/24 + 31*w**3\/6 - w**2 + 68*w. Let x be k(-27). Solve -2 = 2*s + 3*r, x*r = -12 - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w + 1. Let i = -99 + 100. Let n(f) = -15*f**2 - 6*f - 26. Let z(u) = i*n(u) + 6*c(u). What is the derivative of z(k) wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29\/95 - -2\/19. Is t less than -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 36. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1060 and 5671.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = 5*w + 35, 3*z + 3*w = 51. Suppose -z*l - 9*l - 676 = 0. Is -28 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011808 rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2, 2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 23 - 18 - 14)*(-2*y + 6*y - 5*y).\nAnswer: 2*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -v - 7*v. Let g = -21 + v. Suppose -g*z + 238 = 9*z. Solve 4*b + 10 = -k, z = -5*b - 2*k + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 681?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10442536151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/7 - 2851*a - 39910\/7 = 0.\nAnswer: -19955, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m + 1. Let d be s(-4). Let v = 0.010003 - 0.000003. Sort d, 0.02, v in descending order.\nAnswer: 0.02, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 222 + 360 = 5*u, o = u - 118. What is the lowest common multiple of u and 66?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1.2 (c) 2\/15 (d) 0.4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -0.5, 5, 0.8, 4 in decreasing order.\nAnswer: 5, 4, 0.8, -0.5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 143*p = 151*p + 8, -p - 85 = -5*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37543\/42 - 895. Calculate the common denominator of q and 1\/1 - (-110)\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 376*c + 7. Suppose w + 5*p + 85 = -2*w, 5*w = p - 151. Let n = w + 33. Is k(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 34*j**3 + 4*j**2 + 499*j + 6. Let g(o) = 34*o**3 + 4*o**2 + 500*o + 7. Let y(n) = -7*a(n) + 6*g(n). What is the second derivative of y(q) wrt q?\nAnswer: -204*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/4*21*43\/(-102942)?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*l + 31*l + 275. Sort l, 3, 4, 0 in descending order.\nAnswer: 4, 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.42 - 1.52. Let u = 19 - v. Let j = u - 5.1. Which is greater: j or 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccii when four letters picked without replacement from {l: 1, n: 2, c: 8, i: 2, t: 1, p: 1}?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 1. Let k be 22 - (7 + -3) - r. Suppose 5*t = 2*t + k. Let g(z) = -z**2 + 9*z - 5. What is g(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24665\/11158 - 3\/797. Find the common denominator of b and 1\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, t: 3}. Give prob of sequence tt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/238 and -23\/7684.\nAnswer: 53788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w - 15*w - 1422 = 21*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 6\/7 (c) -56 (d) 337 (e) 1 (f) -0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1978673, -7914691, -17808051, -31658753, -49466797?\n\"Answer: -1978671*x**2 - 5*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 101 + -121. Let i = s + 349. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 + -9*(-4)\/12 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -0.5045 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 214?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1652*s - 14676. Give b(-9).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/15359799 and 34\/105.\nAnswer: 76798995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 103 and 95 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540119475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -130053*l**3 - 80800 with respect to l.\nAnswer: -390159*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 16 = 0. Suppose -y + 2*z + 8 = i*z, y + 5*z = 11. Suppose 4*x = y*x - 8. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-15)*-3*18\/(-72)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + 52085\/(-880) - (-25)\/48?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**4\/2 + b**3\/6 - b**2\/2 - 7*b. Let x be w(3). Let g be -2 + (x\/(-12))\/((-2)\/(-6)). Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -19*c**3 - 9*c**2 + 7. Let q be ((-42)\/9 - -14)\/(4\/3). Let u(a) = -10*a**3 - 5*a**2 + 4. Determine q*u(h) - 4*s(h).\nAnswer: 6*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3*z**2 + 5)*(3*z - 2*z + 2*z).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Suppose -j*o - 2 + 33 = w, 5*o = -2*w + 41. What is the remainder when 18 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-943185\nAnswer: 943185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 2 = 5*c + 3*b, 5*c = 4*b + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -6*s**2 - 2*s + 6. Let x(q) be the second derivative of -7*q + 0 + 0*q**3 - 1\/12*q**4 + 1\/2*q**2. Give -r(v) + 4*x(v).\nAnswer: 2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1814 - -1866. What is the remainder when 463 is divided by q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270296609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9675138 divided by -5?\nAnswer: -9675138\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11*(222\/18 - 13)\/((-6)\/(-9))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, 592, 2474, 6138, 12178, 21188?\nAnswer: 33762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 21 = y + 25, -2*j - 5*y - 12 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2693541033 to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5005\/77*4*(2\/12)\/((-20)\/(-30))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -171134 and -171133 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -209, -216, -227, -242?\n\"Answer: -2*v**2 - v - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85616087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.719649 - -0.366687. Let f = y + -0.048178. Let s = -0.4 - f. What is s rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218.5 - -20.5. Let q = 197.9 + m. Let f = -0.6 + 0.9. Sort q, -13, f, -1\/2.\nAnswer: -13, -1\/2, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/54 + 16*u**3\/27 - 64*u**2\/3 - 2*u - 3316. Factor o(j).\nAnswer: 2*(j - 8)*(j + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40824268 - 3?\nAnswer: -40824271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3695 + -36937\/10. What is the common denominator of h and 83\/188?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41664.045451 - 41664. Round x to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 406 + 98. Does 36 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 116 = -8*c + 5*c, 0 = -5*z - 4*c - 146. Let r = z - -26. Suppose -5*q + 53 + 177 = r. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5013 is divided by 75?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 21 - 46 + 17*u - 2*u**2 + 20. Let g be h(8). Suppose 4*a - 61 = 3*k, 5*a - 3*a = -k + 33. Solve -g*x - 4 = -4*q, 0*x - a = 4*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + 2. Let g = -57 + r. Solve 4*n - 4 + 8 = g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*a - 4*a + 9*a)*(7*a - a - a + (-1 - 1 - 2)*(a - 2*a + 0*a) + 2 - 2 + 2*a - 4 + 2*a + 4).\nAnswer: -52*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 - -63. Let c be d + (3 - (-60)\/(-9)). Which is greater: 38 or c?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1848615 divided by -20.\nAnswer: -369723\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 313 = -l - 3*n, 4*n = -l + 66. Suppose i - 5*z = 9 - 3, l = 4*i - z. Let m = 29 - i. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 150, 12806, -10, 0 in descending order.\nAnswer: 12806, 150, 5, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -2*l - 7*p, 4*l + l - 400 = 5*p. Calculate the greatest common factor of 1482 and l.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 4648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*q - 24*q + 204*q + (q + 0*q - 2*q)*(2 - 4 + 4) to z*q + p and give z.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 - -4. Let a = 91 - 86. What is the nearest to y in a, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.3 + -7. Let b be 11\/(-22) - 433\/(-3592). Let f = b + 2\/449. What is the second smallest value in -0.4, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-22))\/(331\/3641). Solve 4*l = -i + 2*i - 8, z*l = 4*i - 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*j + 178250, -2*g + 18*j + 106950 = g. Is 50 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away -52.1?\nAnswer: 49.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*n + 90*n = 447. Let i = -39 - n. Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(28) - 4*(sqrt(7) + 3)**2.\nAnswer: -64 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -0.6, 3\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 432516, 865029, 1297540, 1730049, 2162556, 2595061?\n\"Answer: -l**2 + 432516*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11 and 182.5106605?\nAnswer: 171.5106605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 9. Let s be j(5). Suppose -x - 13 = -s. Let n = x + 21. What is the greatest common divisor of n and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1\/3, -2\/17, 4, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (643\/((-514400)\/(-960)))\/((-2)\/(-135))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 207 and 4383.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/7, 2\/11, -1714 in decreasing order.\nAnswer: 2\/11, -3\/7, -3, -1714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3376663*v**2 - 1993882.\nAnswer: -6753326*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 562*g**3 + 599*g**3 - 224*g**3 + 2*g.\nAnswer: 937*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 13. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.484 less than -4461165267?\nAnswer: -4461165267.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10395 and 89\/304755.\nAnswer: 19199565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.172213 rounded to 1 decimal place?\nAnswer: 107.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 + -157. Suppose -3*h = 5*p - 11, -r*h - 5*p = -9 - 6. Let d = -22 + 32. Calculate the greatest common factor of d and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 + 159. Solve -z + 4 = -4*w - 11, w = m*z + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100202021 + 1013?\nAnswer: 100203100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, 41, -2, 25, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 51.1533, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 2, -5, -12, -19?\n\"Answer: -7*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 111*c**4 + 336*c**3 + 231*c**2 + 6*c.\nAnswer: 3*c*(c + 1)*(c + 2)*(37*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 3*g**3 - 3*g**4 - 2*g**4 + 1 - g**3 + 6*g**3 - 2*g to x + q*g + f*g**2 + z*g**3 + c*g**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 762 + -740. What is the greatest common factor of m and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1069 + 1127. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 294 and 1342?\nAnswer: 197274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z**3 - 12*z**2 - 25*z + 4. Let k = 640 + -645. List the prime factors of p(k).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -2682142?\nAnswer: 54\/1341071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Let w be 6\/v + (-3)\/(-2). Solve -8 + 38 = 4*z + 5*g, w*z + g - 17 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l*r**4 - 206*l*r**3 - 692*l*r**2 - 14*l*r + l - r**4 + 83*r**3 - 4*r wrt r.\nAnswer: -48*l*r - 1236*l - 24*r + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 99 = 77 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.4, -48, 0.3, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (5 + -9)) + 2 + -10 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, -4, -19, -152.\nAnswer: -152, -138, -19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*d + 145*d + 13*d + 22*d in the form w + u*d and give u.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211277 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18066600.\nAnswer: 2, 3, 5, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -85, -90, -103, -130, -177, -250?\n\"Answer: -q**3 + 2*q**2 - 4*q - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-13) + (2 - 0). Which is the closest to -0.1? (a) m (b) 0.4 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z = 2*y - 78, 0 = -y - 2*z + 32. Let n(p) = 10*p - 52. Let r be n(7). Let u be r\/(-7)*28\/(-6). Calculate the highest common factor of y and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6468*c + 110237. Give q(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 1. Let r be u(3). Suppose 0 = -3*t + 4*y + 2 - 9, -r*t - y + 10 = 0. Let h(l) = -t*l + 5*l + 0*l. Let n(q) = -2*q**2. Give h(n(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j + 15. Let s(y) = 4*y + 8. Let b(d) = 3*g(d) - 5*s(d). Let a be b(6). Suppose 11*w = 12*w - 4. Solve 7 + 7 = -5*l - 3*x, -w*l + 5*x + a = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.09 + 11. Let v = m - -1.09. Which is the second biggest value? (a) v (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3)\/(-5) + 246*(-2)\/220 and -81\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(4\/6). Let j be (-8)\/((-6)\/(-3)) - f. Suppose 30 = 5*x + 6*i - i, 0 = -i + 1. Put -1, j, x in decreasing order.\nAnswer: x, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/15 - 4\/(-3). Let z = x + 0. Suppose -z*c = 31 - 136. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-18) - (-8)\/240*2510\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111\/1054 + 6\/31. Let k = a + 1195\/136. What is the common denominator of (-1710)\/(-345)*(-1)\/8 and k?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3404\/7 - (-2)\/(-7). Suppose 3*l + v + 10 = 0, l - 2*v + 16 = 8. Is ((-4)\/6)\/(l\/g) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fddccsdfdccqqdcqc. What is prob of sequence fqqq?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63249?\nAnswer: 3, 29, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 2860 = 585. Suppose 183*u = s*u + 5024. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 28 + 77 - 27 = 0. Let t be (8\/(-18))\/(2\/(-3)). Factor -t*y**p + 4\/3 - 2\/3*y.\nAnswer: -2*(y - 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 8. Suppose h = 3*q + 9, -c*h - 11 = -4*q - 28. Solve -h*m + 1 = 2*p, 10 - 1 = -4*p + 5*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/3 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 83362549 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -5*g**2\/2 - 2*g + 1. Let p be c(-2). Suppose 0 = 2*f - p - 2. Solve 0 = 4*a + 6 - 14, -2*q - f*a = -4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119.7 + -120. What is the second smallest value in 0.28, -0.4, b, -1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -723 - 278 = 7*w. Let c = w + 144. Find the second derivative of 7*t**3 + 4*t**3 - c + 4*t - 14*t**3 - 6*t**5 - 1 wrt t.\nAnswer: -120*t**3 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) -5\/73 (c) -0.3 (d) 4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = -4*r + 26*k + 2828, -k - 2 = 0. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48781*l**3 - 2*l**2 + 193368.\nAnswer: 146343*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -7*f**6\/120 + f**3 - 5*f**2. Differentiate j(l) with respect to l.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253332 divided by -9.\nAnswer: -28148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/((-10)\/8). Let z = -40 - -51.6. Let s = z + -12. Are t and s non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2)*(4*w**4 - 4*w**4 + 2*w**4) + 851*w**3 - 851*w**3 + 43*w**4 as c*w**4 + y + q*w**2 + x*w**3 + i*w and give c.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + d**3)*(4 - 6 + 0 + (4 - 2 + 0)*(2 + 1 - 5) + 1 - 1 + 1 - 1 + 0 - 4).\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -1\/16, 2, 7176 in descending order.\nAnswer: 7176, 2, 2\/19, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1882, -1854, -1780, -1636, -1398?\n\"Answer: 4*q**3 - q**2 + 3*q - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -12, 0.3, 1, 2\/197 in increasing order.\nAnswer: -12, -0.2, 2\/197, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from dzpzzpppzzoqzpzqz.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/553 + 27668\/1659. Let m = u - 17. Let h = -0.3612 - 0.0388. Which is the closest to 1? (a) 0 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196937 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-836)\/32*(-56)\/7. Solve -233 = -3*a - x for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1329984 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwa. What is prob of picking 2 w?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzokkozzkzokzkkoooz. Give prob of sequence oo.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 10*a + 30. Let v be t(13). Let j(q) = -9*q - 68. What is the remainder when 63 is divided by j(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 1397*d + 2798.\nAnswer: -(d - 1399)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*4\/(-16)*1 - 11. Let o be -1044004 + g\/(-6 + 42\/12). What is o rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -27*i + 26*i + 7, -5*i + c = -11. Suppose -28*t + 13361 = i*t. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + ((-16)\/(-30))\/(141\/(-5499))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 8, 248 = -7*y + 9*y + 5*v. Let i = y - 127. What is the tens digit of (-79)\/4*(i - 1)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -519 - -924. Suppose 5*l + 0*l = -4*f + m, 2*l = 4*f - 426. Calculate the common denominator of 28\/5 and ((-24)\/(-10))\/(f\/(-200)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/15 and -46\/85?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-7)\/((-42)\/24))*-2. Sort 0.3, -2\/7, d, 2\/3 in decreasing order.\nAnswer: d, 2\/3, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*z - 3*r, z - 8 = 3*r - 0*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + x - 17. What are the prime factors of d(23)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/9*u - 8\/9*u**2 + 2\/9*u**3 + 0.\nAnswer: 2*u*(u - 5)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169079.3794 plus 0.2?\nAnswer: 169079.5794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/183 (b) -2\/43 (c) 0.3 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 38*w - 13)*(-495 - 445 + 165) in the form f*w + q and give f.\nAnswer: -29450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -20*c**3 + 25*c**2 + 8*c + 8. Let h(r) = 18*r**3 - 26*r**2 - 7*r - 7. Determine -7*g(k) - 8*h(k).\nAnswer: -4*k**3 + 33*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/3))\/(o**(-3\/2)*o)*(o*o\/o**(-4))\/o*o*o**(-2\/7) assuming o is positive.\nAnswer: o**(275\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -9, 2\/15, -2\/7, -5 in ascending order.\nAnswer: -9, -5, -2\/7, -0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.13 + 1.73. What is the closest to 1\/2 in s, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*l**3 + 91*l + 35*l + 106*l**3 - 163*l**3 wrt l?\nAnswer: 252*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10067*0.17.\nAnswer: -1711.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 226776710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - 0.7. Let r = -1.7 + v. What is the biggest value in -1, -0.05, r?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9831, 19660, 29489, 39318?\n\"Answer: 9829*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 294470 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*u + 674 - 248 - 2789 = 3246 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11022.751 and 0.14.\nAnswer: 11022.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 50. Let v = 57 + m. Let w = v + -26. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7425 = -9*j + 22743. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 + -164.8. Let w = -0.1 - d. Which is the nearest to 12? (a) w (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2521 + 2519. Put -91, -3, 2, t, -1 in increasing order.\nAnswer: -91, -3, t, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*v*v**(1\/2)*v))\/v)\/(v*v**(3\/2)))**28\/(((v\/(((v**(-1)\/v)\/v)\/v))\/v*v)**(-2\/7))**38 assuming v is positive.\nAnswer: v**(-992\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a. Let m(t) = -235*t + 78 + 22*t**2 + 131*t**2 - 76 + 235*t. What is m(u(z))?\nAnswer: 5508*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert a94 (base 13) to base 16.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, l: 2, o: 3, d: 3, v: 3}. What is prob of sequence lfl?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 7*s + 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1863 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izhz when four letters picked without replacement from zbbbxbbbbxxxxzzhihh.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19253923, -3 in decreasing order.\nAnswer: 1, -3, -19253923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 10 - (-6192)\/(-504). Which is smaller: o or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 2. Let a(p) = -524*p + 2. Determine -a(h) - q(h).\nAnswer: 523*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 5 - 12. Suppose -5*l + 5 = 3*g, q = -2*g + 3*l - 2. Suppose -24*r + 3*v = -29*r + 19, 3 = v. Solve -d + r*d = g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 2\/3 (c) -5.17 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*l**2 + 320 + 308\/3*l = 0. Calculate l.\nAnswer: -3, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128120, 256251, 384372, 512477, 640560, 768615?\nAnswer: 896636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 1 + 0 + -3. Suppose 0 = o*l - 3*l - 12. Let t = -907 + 963. Calculate the smallest common multiple of t and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*m + 16 = b, -2*b - 4*m = -28. Suppose 0 = 4*k + 2 - 6. Calculate the lowest common multiple of k and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -12. Let m(z) = 11398*z - 10. Let c be m(f). Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 35*l + 220. Calculate v(25).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 808 = -10*o. Let h = o + -147. Let v = 59 + h. Solve -7 = -5*r + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/7, -59, 32?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*b = -2*q - 296*b + 20, 2*b - 24 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**2 + 4*d - 4. Let y(t) be the third derivative of -11*t**5\/10 - 7*t**4\/8 + 7*t**3\/2 - 74*t**2. Calculate 21*w(j) + 4*y(j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)\/(j\/(j*j**(-1\/15))*j))\/(j\/(j*j**3)*j*j*j**(-6)*j) assuming j is positive.\nAnswer: j**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-14833)\/17115)\/((-4)\/(1*60))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + 1.7. Let f = -2.1 + v. Which is smaller: f or 63?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 416 and 75424.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2100 and 1470?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 138 = -42*z. Let t be 4\/(-8) - (-46)\/(-4). Let p(w) = 5*w - 4. Let h(m) = m - 1. Give t*h(j) + z*p(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 36.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10356 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -75.282237 and -0.5.\nAnswer: -75.782237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 2877 + 1303 = 0. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:14 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14343 smaller than -14082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29b1 + 2?\nAnswer: -29ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 32942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -491\/3 - -162. Let m = -5567\/38920 + 1\/5560. What is the second smallest value in -0.3, t, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 4*b + 6*b. Suppose 9*q + 104 = 35*q. Let h be 5*((-3)\/(-1))\/3. Solve -h*f = -b, q*f = 4*d + 22 + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 0.8. Let j = z + -0.27. Round j to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 times -303?\nAnswer: 46965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2*h + 3)*(-3*h**2 - 3*h**2 + 3*h**2) - 4*h**3 + 2 - 2)*(11*h + 5 - 6 + 11*h) to the form g*h**3 + v*h + o + c*h**4 + u*h**2 and give c.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpipppvv. What is prob of picking 2 v and 1 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b. Let g = -36 + 35. Let j(s) = -6*s. Let w(p) be the first derivative of p**2\/2 - 1. Let z(a) = g*j(a) - 10*w(a). Calculate h(z(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, 102 in descending order.\nAnswer: 102, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-30))\/(69\/115)*-9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3040 = -39*n + 23*n. Let x = -26 - -105. Suppose n = g - x. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096191 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129289388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 8*m**2 + 2*m + 18. Let l be d(-8). Let v be (1 - (-12)\/(-8))*4 + l. What is the tens digit of 113 + (-3 - v)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.700154 and 21.8.\nAnswer: -15.2633572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(33)\/sqrt(3))**2 + 4) + 2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/760*20 - 14\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -46. Let p(b) = 4*b**2 + 4 - 4*b - b**3 + 0*b + 8*b. Let r be p(5). What is the third biggest value in 1\/6, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*w + 6, -3*w - w + 30 = 5*x. Let d = 15 + -8. What are the prime factors of 82\/d + x\/21?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1066, 8190, 27456, 64936, 126702, 218826, 347380?\nAnswer: 518436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 2792, 9413, 22302, 43547, 75236, 119457, 178298?\nAnswer: 253847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1872221*m**3 + 57705043 wrt m.\nAnswer: -5616663*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1756*b**2*q - b - 90*q wrt b.\nAnswer: -3512*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -589 minus -0.47?\nAnswer: -588.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 + 3*j - 6. Let z be (5 - 3)\/(-1) - -1. Let y(g) = g**2 - g + 1. Calculate z*c(v) - 6*y(v).\nAnswer: -v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1190 - 1187. What is the remainder when 48 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(28) - sqrt(56)\/sqrt(18))**2 - ((1 + sqrt(28))*-4 - (sqrt(28) - (sqrt(28) + sqrt(56)\/sqrt(2) + -2 - sqrt(28))))) + 5.\nAnswer: 8*sqrt(7) + 229\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41594 and 18102.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by -15.\nAnswer: -22\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.421 + 0.421. Suppose 3*s + 2*b = 68, -5*s + 7*s - 45 = -b. What is the second smallest value in s, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/21)\/((-330)\/70)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**4 + 3*w**3 + w**2 + 11517*w.\nAnswer: 12*w**2 + 18*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(7\/9))**16 assuming f is positive.\nAnswer: f**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-4)\/z*z))\/z)\/(z*(z**(4\/7)*z)\/z))\/(z**(-1))**(2\/41) assuming z is positive.\nAnswer: z**(424\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 j when two letters picked without replacement from {f: 5, j: 3, c: 4, b: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432299?\nAnswer: 7, 61757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-333)\/(-259))\/((-35)\/(-49)*144\/90)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Let j be (2 - c) + (-3)\/1. Sort j, 1, 5.\nAnswer: j, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -976564 and -82 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c\/(c*c**3))\/c))\/c*c)**(-37))**7 assuming c is positive.\nAnswer: c**(-1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:56 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-492)\/(-20) - 6\/(-15). Suppose w*o + 14*o - 380055 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16*g**2*o + 76630857*g**2 - 6191*g*o - 90*o wrt o?\nAnswer: -16*g**2 - 6191*g - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8706869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*i - 17795 - 6615, -32546 = -4*b - 3*i. List the prime factors of b.\nAnswer: 2, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17364028*f + 29874545?\nAnswer: -17364028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159497 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: Which is the nearest to -0.41? (a) 2\/9 (b) 4 (c) -491.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*x + 16326, -73*x + 6571 = -71*x + 5*a. What is the least common multiple of x and 1?\nAnswer: 3268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.94 minus -584021?\nAnswer: 584206.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 5. Let a be 25\/(-10)*4\/(-5). Put a, b, -3 in descending order.\nAnswer: b, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*n - 117*n = 121*n + 13299 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1659720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -10201011021211002?\nAnswer: -10201011021210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520167.9 millilitres to litres.\nAnswer: 520.1679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.471767351 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/142)\/2)\/(5296\/(-5296))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -1\/21*u**7 - 1\/6*u**3 - 9\/20*u**5 + 0*u**2 + 0 + 7\/30*u**6 + 58*u + 5\/12*u**4. What is w in x(w) = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 9:28 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -126*d - 8. Let z be k(3). What is the tens digit of z\/(-2)*(-5)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a - 1. Let c be i(-8). What is the smallest value in c, 1, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 3200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49.72226 milligrams?\nAnswer: 49722.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.01 (b) 7 (c) -2 (d) -64 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 668 - 645. Solve 14*k - i*k + 54 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 14 = -7*y. Let z(f) = 3*f**3 - 2*f**3 - 6*f**2 + 2 + 0*f**2 - y*f**2. Suppose 4*m - 26 = 6. Give z(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/70*(-287)\/(-12) and -59\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308742 - 313327 = 131*x for x.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 0*v**3 + 3*v**2 + 3*v - 7\/12*v**4 + 6. Let x(w) be the first derivative of p(w). Find the first derivative of x(q) wrt q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = 0, 5*h + 3*f = -15 + 1. Let v be (3\/3 + 1)*h. Let t be 641 + 1 - (0 - v). What is t rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (57*m - 27*m + 72*m)*(-4 + 0 + 3)*(m - 26*m + 0*m) as c*m**2 + x*m + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*j**3 + 40*j**3 + 48*j**3 - 2*j + 2*j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 64*p. Let s(i) = -441*i - 3024. Let d(a) = -2*a - 16. Let b(h) = -189*d(h) + s(h). Determine 2*b(c) + 3*w(c).\nAnswer: 66*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1033\/14 or -73?\nAnswer: -1033\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 17*o - 58. Let b be i(-11). Let g be ((-3)\/(-1))\/(17\/b + -1). Factor -g*k - k**2 - 4\/3.\nAnswer: -(k + 2)*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.9, -8\/49, -955?\nAnswer: -955","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6844, -6838, -6822, -6790, -6736, -6654?\n\"Answer: w**3 - w**2 + 2*w - 6846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5026432 to the nearest integer?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 + 1.43. Let t = a + -0.33. What is the third biggest value in 2\/19, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -174 + 682?\nAnswer: 50a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7861 divided by -36?\nAnswer: 7861\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 1:26 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10372.\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*m - 7*m. Let w be (m\/(-3))\/(-2 + (-96)\/(-45)). Suppose 0*d = -d + w. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/16)\/(m*m*m**4\/m*m))**(-22) assuming m is positive.\nAnswer: m**(1067\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4576 - 3702 = -38*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/647430 and -65\/517944?\nAnswer: 2589720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817559 a multiple of 1181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 177 = 4*t + 146, 3*b - 2*t = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, -415?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 + 1184 = 703*r - 668. Solve -r*w + 20 = -5*k, -13*k - w = -20*k - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393280 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -2*(-9)\/12 + 42\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*h - 30, h + 8 = 4*j + 29. Let a be 20\/75*j\/(-4). Which is smaller: -1\/4 or a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23682338*g**4*h**2 + 7657529*h**2 + 2*h wrt g?\nAnswer: 94729352*g**3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2625*y**5\/8 - 12765*y**4\/8 - 4803*y**3\/2 - 960*y**2 + 168*y - 6 = 0 for y.\nAnswer: -2, -1, 2\/35, 2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 22. Let y(k) = 2*k + 2 + 8 + 6*k**2 - 3 + 3*k**s. Is y(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15460.\nAnswer: 2, 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (6 + -10 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5895, -7\/5, -2\/15, 4.\nAnswer: -7\/5, -2\/15, -4\/5895, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51425 - -2?\nAnswer: 51431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/5 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**2 - 4*o + 3. Let j(d) = 3*d**2 + 3*d - 2. Suppose -5*g + 24 = -1. Calculate g*c(x) + 6*j(x).\nAnswer: -2*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804393319.\nAnswer: 277, 2903947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 3.575632.\nAnswer: 14.302528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -668, -967, -1228, -1439, -1588, -1663?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011020001 - -2100?\nAnswer: 1011022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 222*t**2 - 2*t**4 + 2*t + 208*t**2 + 0 - 16*t to z*t**2 + o + b*t**3 + v*t + f*t**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 0.027385?\nAnswer: -5.027385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - -13. Calculate the highest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 3. Let w(y) = -y**3 - 9*y**2 + 4*y + 18. Let b(n) = -3*j(n) + w(n). Determine b(-8).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 + x - 53 - x + 100 - 47.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.07, -1\/6, 2, 0.3, -0.0958?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*p - 8*p + 3*p + 5*p in the form k + x*p and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3)*-23)\/((-2)\/6). Suppose -10*t + 17 = -w. Solve -3*q - 1 = 3*j + 8, -t*j = 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {i: 2, f: 1, b: 2, p: 1, x: 11, r: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 7. Let g be b(10). Let r(p) = -2*p + 3 - g. Let i(u) be the second derivative of u**4\/3 + u. Determine r(i(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {a: 1, o: 1, f: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -19 - (-3 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/75*((-18)\/(-4) + 0). Solve 24 = -9*q - z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0076178302 rounded to 5 decimal places?\nAnswer: 0.00762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)*g*g*g)\/(g\/((g\/g**4)\/g)))**(-2\/9) assuming g is positive.\nAnswer: g**(10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1250653, 1250606, 1250559?\nAnswer: 1250512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184\/(-240) - (23 + -32)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 11*a. Let w(k) = 14*k. Determine o(w(c)).\nAnswer: 392*c**2 - 154*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 17937*a**2 - 25*a + 7. Is w(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10*-3*(-6)\/12. Let k be (4\/5)\/((-3)\/v*9). Which is the nearest to -5? (a) k (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j, d - 2*d + 3*j = -8. Suppose 0 = -5*i + 4*h + 55, i - 2*i + 5*h = -32. Let v be i\/14 - d\/4. What is the third biggest value in 2, v, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 101586.\nAnswer: -101581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.8666 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -20*y**2 - 5*y + 340. Let m(q) = 160*q**2 + 41*q - 2730. Determine 49*b(r) + 6*m(r).\nAnswer: -20*r**2 + r + 280","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 295.\nAnswer: -3\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/30*-4*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 141\/(-2) + 20\/(-40). Let k be 0 - 2 - (-3)\/((-3)\/g). Let h = k + -48. What is the highest common factor of h and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10565 + 4*q + 10565.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - -0.9.\nAnswer: -39.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + y = -7, -9 = 2*t - 4*y + y. Solve 3*d - 15 = -t*r, -4*d + 5 = r - 9*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6 = 0, 5*o + 14*f = 12*f + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43921?\nAnswer: 167, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37099*t**3 - 96880*t**3 - 49724*t**3.\nAnswer: -109505*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 bigger than -2548\/393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 1700*k + 5064.\nAnswer: 4*(k - 422)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00056009091 to five decimal places.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 338 - -904. Let i = d - -87. What are the prime factors of i?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3889, 34, 2.\nAnswer: 2, 34, 3889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 309*u**2 - 3.\nAnswer: -309*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-4))\/(2 + -3). Differentiate -16 + 2*u**a + 0*u**4 + 2*u**4 + 18 with respect to u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k + 3. Let d be ((-306)\/(-36))\/(2\/(-8)). Let f = d + 33. Let i(g) = g. Give f*c(l) - 3*i(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-366)\/168 - (-3)\/7.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1374*i + 131899. Give c(-96).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 10) to base 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 456661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5, -7, -119?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**2 + 2*k - 1. Let w be x(1). Suppose 0 = -w*i + 5, -4*s - 4*i + 13 = i. Solve -3 = y + s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84.1 and 3?\nAnswer: 252.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292644, 585284, 877918, 1170546, 1463168?\nAnswer: 1755784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(8)\/sqrt(2)*1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*-0.0054291.\nAnswer: -0.01411566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 989 - 113 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18666, 18682, 18710, 18750, 18802, 18866, 18942?\nAnswer: 19030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12155562.\nAnswer: 2, 3, 163, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*s + 23*s + 73*s - 24 + 24 + 62*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*a**2 - 165 - 193 - 57 + 16*a**2 - 24)*(-5*a - a + 3*a).\nAnswer: -141*a**3 + 1317*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214433418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -12 - (-75 + 118 + -104)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 749796 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and 161.826.\nAnswer: -8253.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10677\/9053 - 2\/823. Calculate the common denominator of 588\/(-30) + (-3)\/(-30)*6 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = -12. Solve -o - 2*o + 1 = t*i, -11 = o - 4*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 1 = 7*v. Let g be ((-1)\/v)\/(2\/4). Solve g = p - 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35769682.\nAnswer: 2, 13, 1375757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(624)\/((sqrt(96)*3)\/sqrt(8)).\nAnswer: -5 + 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2927 is divided by 114.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117, 103, 77, 39?\n\"Answer: -6*g**2 + 4*g + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 6*m - 5. Let p be r(-4). Solve -3*w = -2*t + 10, p*t - 10 = t - 4*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15397, 32148, 48883, 65596, 82281, 98932, 115543?\nAnswer: 132108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x**(9\/4)*x)*x*x\/(x*x**(-20)*x) assuming x is positive.\nAnswer: x**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.389 from 3.\nAnswer: 6.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -8. Suppose -8 = m*y - 5*n - 3, y = -3*n + 3. Solve y + 3 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -240, -378, -556, -786?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -56*q + 75. Let o(r) = 112*r - 151. Let y(a) = -2*o(a) - 5*w(a). List the prime factors of y(7).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 98*f**2 + 94*f + 1428. Determine w(99).\nAnswer: 933","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114 and -0.074512.\nAnswer: 8.494368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = -47 + 242. Solve -3*d + 0*d = v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 31 = -1 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 29415.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v**3 - 831*v**2 - 5939*v - 120. What is z(99)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -1, -859 in ascending order.\nAnswer: -859, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 - 13 + 7 + t + 5 - 24*t**3 to w*t**3 + i + v*t**2 + n*t + h*t**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 100 - 28 = 0. Let j(x) = -x**3 - 13*x**2 - 12*x + 16. Let i be j(d). Let h be (-84)\/i + 5 - (-6)\/56. Put -3, h, -0.2, 0 in ascending order.\nAnswer: -3, -0.2, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 6:33 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*o - 87 - 130 - o**3 - 664*o + 33.\nAnswer: -o**3 - 552*o - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 278*x - 3709. What is n(14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*2\/(-132) - 84\/(-22). Let j(d) = 36*d**2 + 21*d + 13. Let z(p) = -13*p**2 - 7*p - 4. Let y(b) = u*j(b) + 11*z(b). Calculate y(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 30638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -2666.\nAnswer: -11\/2666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**20*m**(3\/7)\/m*m\/(m**7\/m) assuming m is positive.\nAnswer: m**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/11 - ((-15)\/6 - 5\/(-2)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.03 + 0.03. Let l = v - -6. What is the closest to 2 in l, -1\/2, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 22 + 57 = 15*u. Which is the nearest to u? (a) 0.3 (b) -3 (c) -0.2 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 + 5*r**2 - 2*r**4 - 5 - 3*r**2 + r**2 + r**3 in the form g*r + y*r**4 + h*r**2 + a + s*r**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(256) + (sqrt(256) - -4*sqrt(256))))\/sqrt(8) - ((1*(sqrt(32) - sqrt(64)\/sqrt(2)))**2 - ((-1*sqrt(4608))**2 + sqrt(32))).\nAnswer: -44*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104791, -209583, -314375, -419167, -523959?\nAnswer: -628751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 503 - 488 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2. Suppose 9*x = 12*x. Let i(k) be the first derivative of 1\/3*k**3 + x*k + 2 + 0*k**2. What is d(i(j))?\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 16*f**2 + 11*f - 11. Let k(g) = -3*g**2 - 2*g + 2. Let p = -1 + 1. Suppose -t + 4*t + 3*h - 21 = p, 0 = 4*t - h - 3. What is t*v(y) + 11*k(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1583 and 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.95 - 0.05. Let h = -0.1 - 1.9. Which is the third smallest value? (a) x (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1, -121?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824.088 rounded to the nearest 10?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (14 - -111) + 34 + -20\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000735154687 to 6 dps.\nAnswer: -0.000735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3951\/8 - -489. Which is smaller: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*n - 2730, 4*n = 2*u - 5*u - 2055. Let a = u + 567. Which is greater: -113 or a?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 156*d**2 + 3780*d + 26. Calculate o(-30).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 39. Solve -5*p - 16 = 5*g + w, p - 5*g = 19 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67415054 to the power of 1\/2, to the nearest integer?\nAnswer: 8211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 7336675.15699.\nAnswer: 7336675.35699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802215 is divided by 133702.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3351471741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 329\/6*s**3 - 207*s + 32*s**2 + 0. Find the first derivative of y(b) wrt b.\nAnswer: 329","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198.8451132 - 130.8451029. Let g = z - 68. Round g to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001367 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 + 6*i**2 + 4*i + 18. Let z(p) = 3*p**3 - 5*p**2 - 3*p - 17. Calculate -5*y(v) - 6*z(v).\nAnswer: -3*v**3 - 2*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-3) + 4 - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-3 - 3)\/3. Let c = r + 0. Let h = 5961 + -5950. Solve -c*d - h + 3 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3661 - -3675. What is the remainder when 6199 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 16) to base 10\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 + 61. Let s(d) = d**2 - 2*d + 3. Let h be s(3). Differentiate -r*n**2 + 0*n**2 + 6*n**2 + h*n**2 - 9 with respect to n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**5*y*y*y))*(y*y**(2\/9))\/y)\/(y\/(y*y**(-2\/5)\/y))**(-18) assuming y is positive.\nAnswer: y**(1549\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -123 + 255. Calculate the greatest common factor of w and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3287, 8362, 13437, 18512?\nAnswer: 23587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**7\/14 - 13*b**6\/50 + 27*b**5\/100 + b**4\/20 - b**3\/5 - 9*b. Factor s(l).\nAnswer: 3*l*(l - 1)**3*(5*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100 + 111000022?\nAnswer: 110220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 95052 and 4.\nAnswer: 95052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in micrograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3263*w + 3682*w + 1676 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14432, -5, 120, 3, -3, 2 in ascending order.\nAnswer: -14432, -5, -3, 2, 3, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Solve -b + 5*c + 4 = 0, -g*c - 6 = 4*b - 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254 (base 7) to base 4\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 u, and 1 o when four letters picked without replacement from {o: 2, u: 2, k: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 23. Suppose 0 = -2*l + 4*b + 16, h = 4*l - 5*b - 29. Let u be (-1)\/2 - (-6)\/l. Is -1\/5 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48743, -194569, -437485, -777491?\nAnswer: -1214587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 71 = 43. What is the highest common divisor of i and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 287.0223 + -0.0223. Let g = -9703239.6000411 + 9703526.6. Let i = l - g. Round i to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u - 60. Let a be (-156)\/(-15)*(15\/2)\/3. Let o = u + a. What is the least common multiple of 1 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 280 = -5*n - 2*x, 4*n = -5*x - 207. Suppose 155 = -3*i - 199. Let l = n - i. Calculate the greatest common factor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4041 is divided by 335?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let l(g) = 1 + 11*g**2 - 7*g - 3*g**2 + 3*g - 7*g**2. Let m be l(2). Give t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 1 - 1)*(1 + 3 - 2) + (-1 + 5 - 5)*(-6 - u + 6).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 4*c. Let q be v(3). Let f = -3.4 - -0.7. Let r = f + 2.5. Sort -0.1, q, r in ascending order.\nAnswer: q, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 26*f + 0*f)*(-2*f**2 - 2*f**4 + 2*f**2).\nAnswer: 48*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 108638, -72 in ascending order.\nAnswer: -72, -4, 108638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k + 8*k + 16*k + 2453562*k**2 - 36*k.\nAnswer: 2453562*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5. Let u = 2 - -3. Which is the second smallest value? (a) -2 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*b + 13. Let r(d) = d**3 + 10*d**2 - 16*d. Let f be r(b). Let s = f + 139. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyctyybhhgyc. What is prob of sequence cyt?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*360692.\nAnswer: 360692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -188634 (base 10) in base 15?\nAnswer: -3ad59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 7 = 15*b - 4*x, 0 = -b - 3*x + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/9)\/(-3))\/((-1)\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -663 - -666. Let j = 2135281870631\/13200 - 161763778. Let z = 1\/528 + j. Which is the fourth biggest value? (a) z (b) w (c) 2\/3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 4*w + 3. Give c(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from {h: 2, d: 2, k: 4, m: 2, r: 1, b: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3072 * -12\nAnswer: -36864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {j: 1, f: 2, w: 2, r: 1, k: 10}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 14 - 70. Is (-22)\/((-4)\/(-15) + m\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.602 - 1.398. Let d be 8\/10 + 1 + -2. Which is the third biggest value? (a) 18 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 92, 90, 88?\n\"Answer: -2*p + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*c**4 - 7387*c**3 - 850*c**2 - 143*c wrt c?\nAnswer: -96*c - 44322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 - o - 288 + 881 - 298 + 2*o.\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from asaxaasxssxxsssaxax.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.47 + -0.470019. What is r rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240673275 a multiple of 865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -17\/43055?\nAnswer: -17\/43055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1345040, -1345034, -1345016, -1344980, -1344920, -1344830?\nAnswer: -1344704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 370 - 15?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 838.8967mm in kilometers?\nAnswer: 0.0008388967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 4) + (474 - 454)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*u - 27*u - 116 = 0. Let z(c) = c**2 - c - 4. Let n be z(3). Which is bigger: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*x = -16, 2*l = -2*x - 0*x + 8. Suppose -k - 40 = -l*w - 3*k, 0 = -5*w - 3*k + 51. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1648780*b*z + 1048036*b wrt z?\nAnswer: 1648780*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(-1 + sqrt(72)).\nAnswer: -4 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48929 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.845 and -5.\nAnswer: -5.845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 12\/4*1. Suppose -3*l + 8 = r*b + l, 4*b - 3*l = 25. Solve -b*x = 16, -4*u - 4 = -4*x - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*6\/3)\/(18\/12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-15))\/(((-658)\/21)\/47).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 23*h - 1. Let u be (-1)\/5 + 12\/10. Let n be z(u). Let f = n - 16. What is the least common multiple of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 28*x + 1. Calculate u(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/4 + 2*v**3 - 4*v**2 + 15*v + 164. What is the least common multiple of 25 and h(4)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*h + 123 - 99. Let z(p) = -9*p + 1. Let d(v) = -1. Give h*z(s) + 2*d(s).\nAnswer: -9*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0372 * -25.33.\nAnswer: -0.942276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8667768 is divided by 456194.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 214647478399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58590354 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, and 1 m when three letters picked without replacement from {v: 1, m: 1, x: 2, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -1\/5 (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(832)*1*-3 - sqrt(832)) + -4*((sqrt(1872) + 0 - sqrt(1872)) + sqrt(1872)) + (1*sqrt(1872) + 2)**2.\nAnswer: -32*sqrt(13) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**4\/4 + 4*o**3\/3 - o**2 + 8*o + 11. Let x be q(4). Which is greater: 4\/25 or x?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 114?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o - 5 = 5*t, 2*t - o + 5 = 0. Let p be ((-144)\/64)\/(3\/t). Suppose -5*u + 5*q = -17 - 43, -p*q + 55 = 4*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 6, -1, 1, 915 in descending order.\nAnswer: 915, 6, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6088 + -6087. Sort 0, 29, -15, h in decreasing order.\nAnswer: 29, h, 0, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 48 = 3*q - 0*y, 3*y + 2 = q. What is the greatest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.05 (b) 36 (c) 0 (d) -34.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w + 11. Let f(b) = -3*b + 12. Let c(q) = -6*f(q) + 5*j(q). Let i(v) = -32*v - 7 + 30*v + 5 + 13. Determine -5*c(s) - 8*i(s).\nAnswer: s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2 - (513 + 13). Calculate the common denominator of 28\/99 and -2 + (-415)\/(-4)*14\/k.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-141)\/(-12) + 3\/12. Suppose -84 - 15 = -b*t. Calculate the remainder when t is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -493819 rounded to the nearest one thousand?\nAnswer: -494000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 17. Let q be o(9). Suppose q + 4 = r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s - 26. Let x be o(18). Let t = 90 - x. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17601.91kg to tonnes.\nAnswer: 17.60191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*j**2 + 3*j - 3*j)*(-1179 + 2*j - 1024 + 1446) to the form k*j**3 + p*j + m + t*j**2 and give t.\nAnswer: -8327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - u = 27, -4*u - 45 = -4*d - 5*u. Calculate the least common multiple of d and 116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + (0 - (-75)\/(-10)). Let c be (-126)\/h*(-20)\/(-6). Find the common denominator of c\/20 - 71\/44 and -11\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 6:11 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148607 (base 12) to base 8.\nAnswer: 1244547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -1\/36 (c) 361.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 28*s + 29*s - 2.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 112\/(-672) - (-2 + (-2091)\/18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rxrrrrrxrx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/7 - 39529816*n\/7 + 97662897062116\/7.\nAnswer: 4*(n - 4941227)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v + 5. Let r be y(-5). Solve 5*g = -0*g - r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2\/y)**(-14))**(-13)\/(y*y**(-1)*y**6*y)**(-3\/38) assuming y is positive.\nAnswer: y**(13853\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1) - (-4 + 6 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5\/3)*x)\/x)\/(x**(-2)\/x)*((x*x**1)\/x)**(7\/4) assuming x is positive.\nAnswer: x**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000500920928 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385 + 22 = -100*a + 37 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23311.81 years to months.\nAnswer: 279741.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, e: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 16) to base 4.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (111\/(-3996))\/((-42)\/72)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 350212, 700400, 1050588?\n\"Answer: 350188*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75 (base 14) to base 7.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48\/17 - 3599\/68. Let q = u - -56. Determine j, given that 1\/2 + q*j - 1\/4*j**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, -10, -130, -360, -736, -1294?\n\"Answer: -6*m**3 - m**2 - m + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 2812, 3, 26, -0.2 in decreasing order.\nAnswer: 2812, 32, 26, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 1 + 1)*(3 - 6*a**3 - 3*a**3 + 7*a**3).\nAnswer: -2*a**4 + 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-2*r - 2*r - 6 + 2*r).\nAnswer: -4*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 420 - 418. Suppose 21*q - z = 19*q. Solve -q + 6 = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 18*k**3 - 4239*k**2 - 82176*k + 86772. Let b(g) = g**3 - 223*g**2 - 4325*g + 4567. Let f(t) = -75*b(t) + 4*z(t). Suppose f(s) = 0. Calculate s.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 0*y + y + 15, 0 = -5*s - 4*y - 74. Let f(g) = -g**3 - 12*g**2 + 10*g + 15. Is f(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - f = 4, -4*f = 2*h + 18 - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 418893943 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*s + 284 = 0, 0 = -5*d + s + 121 + 222. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 2004676332?\nAnswer: 2004676325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -55*h - 18. Let n(i) = -6*i**2. Calculate n(b(y)).\nAnswer: -18150*y**2 - 11880*y - 1944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519, 1641, 3479, 6033, 9303, 13289?\nAnswer: 17991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 - c + 2. Let d be 28\/21*9\/6. What is p(d)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-12) - (-5 - -7)\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.07 + 0.97. Let n = 716.89 - 721. Let y = n - -0.11. Is y at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 8*r + 61 = -11*r + 64, 15*t - r - 15 = -16 + 64 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i - 2. Let s = 13 - 19. Calculate the remainder when m(s) is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, a: 4, u: 6, s: 1, w: 4}. What is prob of picking 3 a and 1 u?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 7040324*v + 12391540506244.\nAnswer: (v - 3520162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 0.6, 2, -0.1, 0.32696, -3 in decreasing order.\nAnswer: 2, 5\/6, 0.6, 0.32696, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -351*k**2. Let w(b) = -2*b + 9. Let g(o) = -10*o + 36. Let j(u) = g(u) - 4*w(u). What is j(q(x))?\nAnswer: 702*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m. Let i(g) be the second derivative of 0 - 1\/12*g**4 - 58*g + 1\/2*g**3 + 0*g**2. Determine i(p(r)).\nAnswer: -25*r**2 - 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57 take away 26.7?\nAnswer: -26.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**4\/24 + 19*l**3\/3 - 2*l**2. Let p be s(20). Calculate the greatest common factor of p and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 6. Let t(y) = y**2 - 35*y + 216. Let i be t(7). Suppose -i*x = x - 168. Solve 4*s + x = -c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087223 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 22*w + 2 = 0. Find the third derivative of w - 17*z**3 + 190*z**2 - 374*z**2 + 3*z**5 + 255*z**2 wrt z.\nAnswer: 180*z**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 34 = -4*p + 66, -4*o + p - 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.828 + -9.9. Let i = t - 0.028. Let w be (-3)\/(-7)*(-4)\/6. Which is the closest to w? (a) -0.2 (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l. Let c(v) = v**3 + 5*v - 1. Let i(a) = -c(a) - 4*w(a). Let h(g) be the first derivative of i(g). List the prime factors of h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-3828 - 3)*90\/27. Round p to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2303 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = 64. Let o be (-6 + i)\/(2 - 0). Solve -3*m - 2*f = 15, 4*f + 27 - 7 = -o*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 15 = 3*p + 16, -2*r = -4*p - 12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304384\/38 - -9*52\/(-4446)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*a = -9, -2*h = -3*h + 5*a - 28. Let i(d) = -3*d**2 + 9*d + 7. Let v(p) = -2*p**2 + 8*p + 6. Let s(c) = 5*i(c) - 6*v(c). Give s(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 7*q**2 + 5*q - 7. Calculate c(-6).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -223086340 rounded to the nearest 10000?\nAnswer: -223090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 10640994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 28365*t\/2 - 425025.\nAnswer: -(t - 28335)*(t - 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-6 - (-468)\/81)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 1143513?\nAnswer: -1143512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -81. Suppose -13*c = -i*c + 1. What is the closest to 0.1 in 0.2, -0.4, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**5\/4 + 1900633*j**4\/4 - 903096698579*j**3\/4 - 4515515803705*j**2\/4 - 1806210502884*j - 903106201761 = 0.\nAnswer: -2, -1, 950319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -32*s - 6544. What is x(-208)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1504956234?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83206*b**2 + 548506*b**2 - 8545*b**2 - 32286*b**2.\nAnswer: 590881*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 362.6524 + -360. Let i = d + -2.79. What is i rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -83, -69, -55, -41?\n\"Answer: 14*u - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13000\/9 greater than 1384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/7721 and 34\/12133.\nAnswer: 84931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4172134*a**2. Let x(c) = -c**2. Determine x(r(s)).\nAnswer: -17406702113956*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 2*d**4 + d - 72 - d**3 + 3*d**2 in the form q*d**2 + k*d**4 + u*d**3 + z*d + l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 16275.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22249091273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19341 = 19345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 1624?\nAnswer: 29232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/3 - (-132)\/9 is divided by (-52)\/13 - -11 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*l + 628 + 461 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13181?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**3 - 4*c**2 + 4*c + 8. Let u(m) = -6*m**3 - 4*m**2 + 5*m + 8. Suppose 18 - 13 = -p. Let f(i) = p*d(i) + 6*u(i). Factor f(s).\nAnswer: -2*(s + 1)**2*(3*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 - 6*j + 4319*j**3 - 3 + 4 + 4. Suppose -6 = -3*l + c + 10, -3*c = -4*l + 23. Let t be p(l). What is t rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/16 - (-2)\/(-8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Suppose 4 - 3 + 2 + 5*r**w + r**3 + 7*r = 0. Calculate r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l**(-8)*l)**(-35)\/(l**15*l\/(l*(l*l**(-3))\/l)*l)**(-33) assuming l is positive.\nAnswer: l**872","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) + sqrt(35))\/sqrt(7) + -3 - sqrt(35)\/((sqrt(63)*1)\/sqrt(9)).\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490481*t**2 - 32*t + 32*t - 490478*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -34. What are the prime factors of (-1 + -30)*m\/7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 v when three letters picked without replacement from {u: 1, a: 1, v: 4, r: 1, y: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-13) - 4128\/(-208). Solve -3*t = 2*t + q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3378.8 + 3379. Suppose -5 = 3*v - 5*l + 8, 3*l = -3*v + 3. Which is the nearest to v? (a) p (b) 4 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -8, 0.1, -466, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 0 - (-279)\/99. What is the closest to -0.1 in a, 0, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32494 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 17 = 5. Let s = -1267 - -757. Let g = -510.2 - s. Which is the nearest to 0.1? (a) u (b) 8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 663.7806 centuries?\nAnswer: 796536.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 5:06 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 258?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18\/15*(105\/12)\/7\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*65\/(-15) - 0. Let d(i) = -5*i + 7. What is the smallest common multiple of d(s) and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/23, 3\/2, 1, 1\/8, -1\/3, 0.573, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - 24. Suppose 30*j = 38*j + 272. Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 30 = h. Sort 4, -9, h, 3 in decreasing order.\nAnswer: h, 4, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + l. Let n be i(0). Suppose 0 = 2*a - r - 24, n = 2*a + a + 5*r - 62. What is the highest common factor of a and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1000006560 divided by 105.\nAnswer: -9523872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, -4, -6, -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 13\/5, -3\/8, 3191391 in increasing order.\nAnswer: -3\/8, 4\/3, 13\/5, 3191391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**6\/10 - 113*w**5\/5 + 3*w**4\/4 - 19*w**3\/6 - 3297*w. Find the third derivative of n(s) wrt s.\nAnswer: -72*s - 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11*w**2 - 60*w - 49. Let d(u) = 6*u**2 + 30*u + 24. Let g(x) = -5*d(x) - 3*k(x). Let g(m) = 0. Calculate m.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - 81. Let p = -91 - a. Suppose p*y = -2*q - 2*q + 548, 0 = -3*q - 5*y + 405. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3 - 57*y**2 - 270*y - 216 = 0. What is y?\nAnswer: -12, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s - 96 = -62*s. Calculate the least common multiple of 90 and s.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5867492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 30*c + 30. Let o be (119\/(-35))\/((-1)\/(-5)). List the prime factors of h(o).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -10. Is (-1)\/6 - (-943)\/k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 - -475. Let v be (z*-1 + 0)\/(-1). Let c = v - -108. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 1, h: 2, f: 2, a: 6, l: 7}. Give prob of sequence dal.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 5*u - 1274333, -2*d + 2*u + 637183 = -u. Suppose 0 = -11*l - 113316 + d. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 399?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.4 + 0.6. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-47)\/((-9447)\/(-134)))\/(10\/104))\/(4\/(-10)).\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51347 is divided by 163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - h)*(10 + 4 - 2)*(-3*h**2 - 8*h**2 - 2*h**2).\nAnswer: -312*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, 288, 0, -140.\nAnswer: -140, 0, 1, 65, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfhhzftlzyyylzlfyzyf. Give prob of picking 2 y.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1229615 and 465?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -9, 0.4, 2\/17, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1958524173 from -81.\nAnswer: -1958524254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4243 + -2273. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379 = -9*w + 197. Suppose -3*m + m + 22 = 0. What is the remainder when w is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - 0)*(5 - (-65)\/(-10)). Solve -4*c + d - 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 123?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b - 2 = 0. Calculate the common denominator of ((2 - -46) + b)\/(-6) and 67\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from yyryyooyoctr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2. Let a(m) = 5*m. Let q(p) = -3*p - 16. Let f be q(-7). Let b(y) = -6*y. Let t(n) = f*a(n) + 6*b(n). Give l(t(s)).\nAnswer: -242*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 17208 - 16758 = 0 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a01e7 (base 16) in base 11?\nAnswer: -a64616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11449847 * -12\nAnswer: -137398164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4987, -9976, -14965?\nAnswer: -19954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4143546*f - 4143551*f = 2*q - 19, 4 = 2*f - q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-57))\/(14\/((-1092)\/65))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 5. Let j be w(3). Suppose h - 18 = -j*h - 3*x, -6 = -3*x. Suppose a + 13 = 4*m, -2*a - h - 1 = -m. What is the closest to 1 in 2, m, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -318, -1231, -2764, -4911, -7666?\n\"Answer: m**3 - 316*m**2 + 28*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61739 divided by -4?\nAnswer: -61739\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572614?\nAnswer: 2, 7, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53742949*q**3 - 1471452*q**2?\nAnswer: 322457694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 335315642 and -17.\nAnswer: 335315625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -946068 (base 11) to base 8.\nAnswer: -5621063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and 1 + 0 - (12 + (-24416)\/2200)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60133327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1369, 6411, 16531, 33133, 57621?\n\"Answer: 234*m**3 + 1135*m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 115*a + 1200 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:31 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*f**3 + 47*f**3 - 155*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -4. Let c be 8 + (5 - 1)*-1. What is the common denominator of 11\/4*(c + n) and 95\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -5, -26, -63, -1116.\nAnswer: -1116, -63, -26, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -888 - -887.9. Which is the nearest to 1\/4? (a) v (b) 2 (c) 1\/132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w = 72. Let d be (3600\/2)\/(w\/300). Suppose -5*c + 0*c = -d. What is c rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y. Let g = -2 + 4. Let r(w) = w**2 - 3*w + 2. Let x be r(3). Let z(o) = o**x - o**2 + g*o**2. Determine z(m(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -340 divided by -68\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*i = 169*i - 166*i - 19588 for i.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10319802, 20639600, 30959396, 41279190, 51598982?\n\"Answer: -f**2 + 10319801*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -6\/221 (c) -0.1 (d) 24 (e) 9\/8 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/5 + 184*k\/5 + 2116\/5.\nAnswer: 4*(k + 23)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53851 - 37132. Is g a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 3*a**2 - 5*a + 19. Let q be z(3). What is the greatest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236\/7 + -34. Let m = -0.0107 - 0.1893. Let q = -0.8 + 0.3. Which is the closest to 1? (a) s (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 180.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in minutes?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*r - 59*r + 27 = -2*q, 2*q = -5*r + 45. Calculate the remainder when 23 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23059 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -33, -55, -85?\n\"Answer: -4*k**2 - 2*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:38 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -15. Let i(k) = 3*k + 3*k + 0*k - z - 3*k. Is 7 a factor of i(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 13 = -3*m - 14, 0 = -2*r + 4*m + 12. Let p(q) = -2*q**3 + 5*q**2 + 3*q + 10. What is the tens digit of p(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6584.99961849 - -0.04.\nAnswer: 6585.03961849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73359 = 3*t - 73398 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 3)*(-2*x - x + 0*x)*(-2*x + 0*x + x + (-3 + 3 - 2*x)*(3 + 0 - 2) + 2*x - x - 2*x).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3643*u**3 + 3642*u**3 + 11 - 875 + 155 as y*u**3 + l*u + c*u**2 + z and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -13860955100 to the nearest 1000000.\nAnswer: -13861000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*(sqrt(39) - (sqrt(39) + (sqrt(312) + sqrt(312)*1)\/sqrt(8) - sqrt(39))))\/(sqrt(363)*-2*-3))**2 + 3.\nAnswer: 1102\/363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2*g - 7*f**2 + 9788*f*g - 28*f - 77*g - 65219 wrt f?\nAnswer: 2*f*g - 14*f + 9788*g - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + 10*h**2 + 16*h - 10. Determine c(7).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 406 and 22?\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/855022 and 54\/301?\nAnswer: 36765946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410 - -215015?\nAnswer: 214205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 52, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39049.7 minus -41?\nAnswer: -39008.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 43\/3*t**3 + 0*t**2 + 11\/5*t**5 + 0*t - 20 + 0*t**4. What is the third derivative of b(p) wrt p?\nAnswer: 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*f - 3730 - 8916 + 5967 = 9973 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148444.9791313 + 148445. Round t to four dps.\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-14 - -10) + 0 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 870 (base 10) in base 5?\nAnswer: 11440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -219, -447, -799, -1317, -2043?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1329 + 1329 + 55*n**3 + (2*n**2 + 2*n - n + 0*n)*(4*n - 2*n - n).\nAnswer: 57*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6913 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4214483*b - 2108774*b - 2105707*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148404 and 930928.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 minus 21546938186?\nAnswer: -21546938185.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -4)*-4 + -3.\nAnswer: -4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 921786*h**3 - 2*h**2 - 6*h - 15619786?\nAnswer: 2765358*h**2 - 4*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 210841096.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 22*q - 146. Let s be z(5). Let m be (-8)\/2 - (s - -27). Solve 5*k - m*u - 50 = 0, -k + u = -3*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = 743*r - 745*r + 28, -4*h + 4*r = -0*h - 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:01 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + -1110?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4537*m**3 + 2*m**2 + 11*m - 14. Let f(p) = -p + 7. Let d be f(13). Let w be k(d). What is w rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 1, 8\/9, -5, 4\/7, -0.0325?\nAnswer: -0.0325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0172 and 0.4?\nAnswer: 0.3828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -48. Calculate the remainder when 107 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - f = -0*h + 477, 2*f = -3*h - 713. Let p = h + 107. Let b = p - -248. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 19 + 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003970313 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5304, -5188, -5084, -4998, -4936, -4904, -4908?\nAnswer: -4954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Give u(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571231*v**3 + 570916*v**3 - 1142539*v**3.\nAnswer: -392*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2614*g**6 + 23*g**2 + 2*g wrt g?\nAnswer: -313680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -29420 bigger than -29423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -25\/21*x**7 + 0*x**2 - 19\/4*x**4 - 3 + 0*x**5 + 0*x**6 - 3*x + 0*x**3. What is the third derivative of y(n) wrt n?\nAnswer: -3000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/22 and 7\/816?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*x + 24 - 6, -x - 2*q = 0. Suppose -4*w = -22 + x. Let f(t) = 2*t**2 - 7*t + 5. What is f(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 15 = -2*d. Let t(l) = -5 - 1 + 10*l - 7 - 4. Does 11 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4260.8 + 8.3\nAnswer: 4269.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3, 3\/7, 0, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v - 42*v + 5*v + 756 = 0. Solve 65*z - 61*z = v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -684965 divided by 8\nAnswer: -684965\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/20 - 5\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -d9a9?\nAnswer: d9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**7\/399 + x**6\/285 + 3*x**5\/95 - 2*x**4\/57 - 8*x**3\/57 - 678*x. Solve r(g) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 1874043?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-15 + 114 + -136)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15798076 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32228 and 20.\nAnswer: 644560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 27 = 4*a - 9*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159404\/5 - -31881. Which is the nearest to -0.1? (a) 161 (b) 0 (c) 0.12 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 o when four letters picked without replacement from {s: 4, k: 1, o: 3, x: 1, t: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74742888 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 115?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 9*s - 18. Let d be t(-5). Solve 5 = f + d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22806780 divided by 60\nAnswer: -380113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 23*f + 10*f + 657. Solve 0 = -3*g + f - 55 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2872391 (base 10) to base 8.\nAnswer: 12752107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39113770*y**2 - 27197212*y?\nAnswer: -78227540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (1 - 2 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**3 - 4*v**3 + 3*v**3 + (-3 + 5 - 4)*(0*v**3 - 5*v**3 - 3*v**3 + (2*v**2 - v**2 + 6*v**2)*(v + 0 + 0) + 0*v**2 - 2*v**3 + 0*v**2).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-124)\/(-18))\/(30\/(-90))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 642 or 645?\nAnswer: 642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18768*h + 1947.\nAnswer: 18768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36910000 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -8*b**3 + 3*b**2 + 3. Let v(l) be the first derivative of -95*l**4\/4 + 35*l**3\/3 + 35*l + 1. What is -35*g(m) + 3*v(m)?\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3106, -3, -4, -2 in ascending order.\nAnswer: -5, -4, -3, -2, 3106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {r: 2, q: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 672 and 3031056?\nAnswer: 6062112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1090, -4361, -9812, -17443, -27254, -39245?\nAnswer: -53416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 87018267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1367.48 * 7924\nAnswer: 10835911.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1874 + 3273. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(198))\/sqrt(2).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75892972?\nAnswer: 2, 1021, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17282.5868 rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 65377466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k + 2*k**3 - 2*k**3 - 5*k - k**3 + 3*k**4 as p*k**4 + z + f*k + c*k**3 + j*k**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113.8 - 114. Let k = 0.08 + -3.08. Sort 11, l, k in ascending order.\nAnswer: k, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 + 75.9. Which is the second biggest value? (a) 1\/3 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 8:34 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(300) + (sqrt(24)\/sqrt(3))\/sqrt(4) - (-2*sqrt(8)\/sqrt(4) + -4*1*sqrt(2))**2*3.\nAnswer: -216 + 11*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(3) + -1)*-5)**2.\nAnswer: -30*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 12:59 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:33 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulr when three letters picked without replacement from nruynrlnunrrubu?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 3*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -798, -1511, -2200, -2853, -3458, -4003?\n\"Answer: 2*q**3 - 727*q - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -53*z**9\/63 + z**5\/15 - 53*z**4\/24 - 2*z**2 + 381*z. Find the third derivative of v(l) wrt l.\nAnswer: -50880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/((-3 - 15\/(-6)) + 1). Suppose -5*h - l = -92. Solve 2*z + z + 12 = 3*m, 0 = 4*z + 3*m + h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 3*x**5\/10 + x**3\/3 + x - 8. Let j(h) be the first derivative of v(h). Find the second derivative of j(d) wrt d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 184*n - 2395. Determine r(14).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 75, 117, 197, 327, 519, 785, 1137?\nAnswer: 1587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 11*t**2 - t**3 - t - t**2 - 3*t**2 + 2. Let o = 6 + -2. Suppose 5*q - o*n = 51, 5*n = 2*q - 5*q + 1. What is a(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, -0.0825, 2, 159?\nAnswer: -0.0825","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299195?\nAnswer: 3, 5, 28871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*o**3 - 72*o + 295*o**3 + 72*o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1299154?\nAnswer: 2, 649577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 277\/6 or 45?\nAnswer: 277\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 905953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*f + 238, -f = 2*f - l + 140. Let k = f - -24. Is -21 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 1 = 3*f, -4*f = 2*n - 2*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*((-8)\/44 + 68712\/(-88) + 9). Which is bigger: -1541 or g?\nAnswer: -1541","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1104480 and 422912?\nAnswer: 247403520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 1. Suppose -18 = -6*z + 4*z. Let k(w) = -3*w + 4 + z*w - 4*w. Determine 3*a(f) - k(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -4 (b) -2\/15 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.812 - -0.088. Let u = -4.19 + b. Is 0.1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 12 - 4 = 8, 5925 = -79*r - 3*z for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-28)\/7 + 0) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + 1 + 8*u - 7*u + 3*u**4 - 1 - u**3 - 5*u**4 to the form d*u**3 + x + m*u**2 + w*u**4 + k*u and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvcv when four letters picked without replacement from {c: 4, v: 4, t: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139720 and 1576.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1078, -2117, -3126, -4105, -5054?\n\"Answer: 15*u**2 - 1084*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-27 + 16 + -3)) + -19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 149 = -29. Suppose -5*h - 10 = q, -3*h = -3*c + 519. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 4, d: 3}. Give prob of picking 2 d.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6 + (2 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 d, and 1 j when four letters picked without replacement from jvgddjag.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 6\/2)*140\/5. Let k = 119 - x. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 901 = 217. Calculate the remainder when 70 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21841416 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(1\/(-3)*(-96)\/(-6992))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let z be (-2)\/10 - ((-48)\/15 - 0). Let b be (2*1\/2 - z) + 2. Solve u = 2*g - b*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 51 = 4*x, -2*x + x + l + 12 = 0. Suppose x*d = 10*d - 4. Sort 12, d, -0.5.\nAnswer: -0.5, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let h be (-2 + i)\/(-1 - 1). Let d = -85 - -82. Which is the second smallest value? (a) h (b) d (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 756487?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -56a8a1?\nAnswer: 56a899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -8. Let j = u - -13. Let i = -6 - -6.2. Put -2\/3, i, j in decreasing order.\nAnswer: j, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*x + 30 = -2*g, -2*x = -6. Let j = 23 + -13. Let c = j + g. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 63651 and 63652 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2. Let i be 5 + -3 - -1*1. Suppose 3*o - 2*a = -5 + 1, 0 = -i*a + 6. Let s(k) = o + 0 - k. Give s(v(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6496 + 7414. Calculate the highest common divisor of 3834 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 40 = -21*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 divided by 5571.\nAnswer: -41\/1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196*d + 5487*d + 357*d + 2707*d to g + i*d and give i.\nAnswer: 8747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 223*w**4\/4 - 2*w**3\/3 + w**2 - 39*w. What is the hundreds digit of v(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175763 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02104 and -29526990170?\nAnswer: 29526990169.97896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -116024 in descending order.\nAnswer: 0, -3, -116024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8045, -7970, -7895, -7820, -7745, -7670?\nAnswer: -7595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17626*r + 140995. Calculate j(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = -108 + 28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 84*t - 46*t - 36*t + 15, -3*y + t = -45 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 8\/13*l**2 + 18\/13*l**5 - 14\/13*l**4 + 0*l - 40\/13*l**3 = 0.\nAnswer: -1, -2\/9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxevxn. Give prob of picking 1 e and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 34. Which is the third biggest value? (a) 4 (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 4*x - 9*x. Let z = 440746 - 440674. Calculate the least common multiple of z and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b - -1b28?\nAnswer: 1b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -29*r - 11. Let n be f(-2). Let m(u) = -8*u + 23 + 0 + n*u + 0. What is the hundreds digit of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 0 + 10 - 5*z - 4. Let i(j) = -3*j + 5. Let r(d) = 5*d. Let y be r(1). Let s(f) = y*n(f) - 6*i(f). Let w(h) = h**2. Determine s(w(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -83 (b) 1\/21 (c) -2\/23 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouccooocoooocuo. What is prob of sequence ouo?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-5)*(1 + -6) + -7. Let g(l) = 4*l**3 + 4*l**2 - 4*l. Let z(p) = 4*p**3 + 3*p**2 - 3*p. Let i = 9 - 5. Calculate i*z(r) + y*g(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15273.\nAnswer: 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.57 + -0.43. What is the nearest to u in -8, 0.05, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r - 13. Suppose a + 29 = 4*a + 4*z, -4*a = z - 30. Let c be l(a). Let v(n) = -n**3 - 5*n**2 + 4*n - 5. Give v(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(24\/9363)*-2. Let h = r - -7958. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114450 divided by 21.\nAnswer: -5450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0 - 3*p**2 - 10 + 14*p**2 + 13*p - p**3. Let l be a(12). Suppose 3*v**3 - v**3 + l*v - v**5 + v**3 - v**4 + 5*v**2 = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**3 - 1144*t**2 - 40508*t - 26496 = 0?\nAnswer: -32, -2\/3, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/(-210) - (-6)\/45. Put 11, -0.048, s in descending order.\nAnswer: 11, s, -0.048","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -483 divided by 7\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 262395 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (5 - (1 + 7 + -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 5:50 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 92*392\nAnswer: 36064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004522 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -749881?\nAnswer: -3749405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 0*b**4 + 0*b + 2 - 31\/5*b**5 + 4*b**2 + 0*b**3. What is the second derivative of j(d) wrt d?\nAnswer: -372*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 108.48 and -0.1.\nAnswer: 108.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 15*v - 16. Calculate t(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(56\/52 + -1). What is the greatest common factor of 117 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51614955 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 582236*u**2 - 2*u - 555616 wrt u.\nAnswer: 1164472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207708019*b**4*r - 2*b**3*r - 18*b**2*r + 29*b**2 + 2*b + 1771*r + 2 wrt b.\nAnswer: 4984992456*b*r - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1849.976 - -1842. Let k = w - -8. Let o = 1.024 - k. Which is smaller: o or 8\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -27. Solve -5*x = 8 + i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 1 q when three letters picked without replacement from gqgqqggqwwq?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 42. Let u = c - -33. Suppose 0 = -0*m - u*m + 208. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjzgxggjxzngzenzxnn. Give prob of picking 1 e, 1 g, and 2 z.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(-1*sqrt(7)))\/sqrt(8) - (sqrt(243) + -1 + sqrt(243))*1.\nAnswer: -19*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 9*x**2 + 6*x + 5. Give r(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 - -229. Suppose a - o - j = -0*a, 3*o = -3. Let r be (-1 - -4)\/(3\/(-4)). Sort -1, r, a in increasing order.\nAnswer: r, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {q: 13, w: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g + 6*g = g + 484506000. Round g to the nearest one hundred thousand.\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 + d. Let r(i) = -i**3. Determine -2*n(v) - 7*r(v).\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Is a bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -176, -237, -282, -305, -300, -261?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5328.004 centimeters in meters?\nAnswer: 53.28004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 3*t - 2*t + (0 + 6 - 4)*(0 - 2*t + 0) + 9*t + 13*t - 8*t + 2*t + 2*t - 5*t + (0*t + 0*t - t)*(4 - 3 + 1) + 17 - 17 - 2*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/2)\/(5\/(-6)))\/(1174\/(-2935)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9*o + 5 = 0. Let x be (-16)\/120 + 1\/((-60)\/52). Let s be x\/((-198)\/63 + (-3)\/o). Solve 0 = -2*i + 5*p - 4*p + s, 5*p = i - 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, -2585, 37, -2, -1 in decreasing order.\nAnswer: 37, 9, 4, -1, -2, -2585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + (-27)\/6)*6. Suppose 4*v - 477 = -3*s, 2*v = -s - w*s + 246. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*m - 2 + 3*m**2 + 25*m + 2.\nAnswer: 3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 3)*(3*q - 2*q - 3*q + (1 - 2 + 0)*(-5*q + 0*q + 4*q) - q + 3*q - 17*q)*(9 - 2 + 0) in the form l + g*q and give g.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24553, -53658, -82763?\nAnswer: -111868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v + 3*v + 3*v**2)*(-v**2 - v**2 + 3*v**2) + 5*v**4 + 0 + 0)*(-2 - 3 + 3).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmaj when four letters picked without replacement from {m: 3, a: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*12\/27 + 24\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.24025 + 0.30775. Round t to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 + 25 + 287*s + 92 + 28 + 19.\nAnswer: 287*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 5*x + 4 = 0. Put -4, -8, x in descending order.\nAnswer: x, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3545, 4, 5 in ascending order.\nAnswer: -3, 4, 5, 3545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l*l*l*l**(-24))\/l)\/l)**(-6))**(-12))**(1\/78) assuming l is positive.\nAnswer: l**(-264\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 5*u - 8 + 40 = 0, -a = -3*u + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - 304. Let m = 371.999614 + f. What is m rounded to five decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/16 and 67\/22262.\nAnswer: 178096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r - 22*r - 52*r + 2047708 = 0. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 449689*v**2 - 233*v + 108?\nAnswer: 899378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/2)*t)**33)**48)**(1\/37) assuming t is positive.\nAnswer: t**(-792\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -47. Let x be (-11640)\/(-64) - (-1)\/z. Calculate the greatest common factor of x and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3463 - -3464. Let g = -2 + 0. Is -2*(0 + x)\/g*1847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 - 2*c + 1. Let z = 362 + -164. Let h = z - 196. Calculate the least common multiple of h and y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2521506 to the power of 1\/2, to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 15*u**3 + 10 + 7 + (-u**2 + u**2 - 2*u**2)*(1 + 2*u - 1) + 0*u - 2*u**3 + 0*u in the form v*u + t + g*u**3 + f*u**2 and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbzzbzorrrzgrgzzgo. What is prob of sequence gb?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/20 + 115\/200?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -926, -3139, -7454, -14573, -25198?\nAnswer: -40031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 65289.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 552 and 314663?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3220628 and -71\/1316?\nAnswer: 22544396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -80280 >= -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*t**2 - 10*t**2 - t**2 - 55*t**2.\nAnswer: -233*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68028 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)*g)\/g)**(4\/23)\/(g\/(g*g\/g**(-6)*g*g)*g*g**(-5)*g) assuming g is positive.\nAnswer: g**(272\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -2 + -1 + -1 + 1. Sort 2, c, -1, -3 in increasing order.\nAnswer: -3, c, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1070 and 19\/100.\nAnswer: 10700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 3*b + 116729 + 49*b**2 - 116729.\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/2 - 2\/4. Factor -6*n**3 + 24*n**2 + u*n - 8*n**2 + 8*n**3 + 2*n**4 + 8*n**3.\nAnswer: 2*n*(n + 1)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 1 - (-23 + 26)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, v: 1, h: 5, z: 1, e: 1, g: 2}. Give prob of sequence hzt.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/11 - 8928*u**2\/11 - 9916216*u\/11.\nAnswer: -2*u*(u + 2078)*(u + 2386)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/714732 and -107\/1667708.\nAnswer: 5003124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1081, -8640, -29159, -69118, -134997?\nAnswer: -233276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*i. Let f be -2 - (2 + (-14)\/i). Solve a = -a - 3*g + 20, -5*a = -f*g - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-1 + -2 + 5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3220 and 10304.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1960, 7641, 17134, 30439?\n\"Answer: 1906*r**2 - 37*r + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 - 3*d**4 + 3*d**4 + (1 + 0 + 2)*(-5 + 4 + 6*d**4 - 1) to w + l*d**2 + v*d**4 + h*d + c*d**3 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + q - 80 = 0. Let w = -7 + q. Suppose -2*l = w*d - 9, -2*l + d - 3*d + 12 = 0. What is the highest common divisor of l and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7642605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 0 + 2*l + 2 - l - l**2. Let x be q(-3). Sort -0.4, x, -5\/3.\nAnswer: x, -5\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, o: 1}. Give prob of sequence ddo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24096*c**2 + 112984*c**2 - 12835*c**2 - 38993*c**2 + 99776*c**2.\nAnswer: 185028*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = 3*g - 1698. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -59.56. Let q = m + -0.6. Let v = q + 4.04. Which is the closest to 0? (a) 4 (b) v (c) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*g + 149*g + 144*g + 148*g - 650*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 15*k - 357. Let f be n(37). Let q be ((-1)\/((-1)\/(-113)))\/1. Let u = q + f. What are the prime factors of u?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = g - 211. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - r - 5 = -33, 3*z - 2*r - 64 = 0. Find the first derivative of -z*y + 17*y + 7*y + 14 + 12*y**4 wrt y.\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1804?\nAnswer: 9020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - 2*s + 5*s)*(-2 - 1 - 2) + (2 - 1 + 0)*(-4*s + s + s) to u*s + p and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.157732 decades?\nAnswer: 1.57732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -132.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from uwwwmlqwu.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5. Suppose x = -f - w*x + 11, 0 = -f - 2*x + 15. Differentiate 5 + 14*m**4 - 26*m**4 + f*m**4 wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.89 + -0.3.\nAnswer: -10.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8953736.\nAnswer: 2, 11, 101747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5867815 and 101090.\nAnswer: 4595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251755 rounded to the nearest ten thousand?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135244455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188637889.\nAnswer: 11, 17148899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 21 = -6*u. Let q = u - 17. Factor -2\/3*m**q + 0 + 4\/9*m.\nAnswer: -2*m*(3*m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:10 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-28))\/((-1404)\/1638)*(202*-1 - 2).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 279\/7, 2, 3\/7, 0.2?\nAnswer: 279\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34*1 + 3\/((-18)\/24). Suppose 6*n - l + 18 = 0. Let -5\/2*z**2 - 3\/2*z + 3\/2*z**3 + n*z**4 + 1\/2 = 0. Calculate z.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s**2 - 29*s + 49. Give b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06852155 and 2340.5.\nAnswer: 2340.56852155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1 + 2\/4). Let a = k - -14. 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: Let n(d) = -d. Let k(l) = 5*l - 5. Let w(o) = 1. Let b(x) = -k(x) - 6*w(x). Calculate b(g) - 6*n(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.41219 and -349037171?\nAnswer: 349037170.58781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58184 and 80003.\nAnswer: 640024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/12 + 2\/(-6). Suppose 3*a - 18 = h + m*h, a - 18 = 4*h. Does 3 divide (2 - (a + -1)) + 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/21879 and -95\/3366?\nAnswer: 43758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b - 532 = -16. Suppose 0*r - r - 3*m + 16 = 0, -2*r + b = m. Solve -x + r*y = 2*y + 11, -3*x - 3*y + 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61012 by -3.\nAnswer: 61012\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(720) + -1*sqrt(720)*-3) - (0 + sqrt(720) + -4 + -1))**2.\nAnswer: 360*sqrt(5) + 6505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6138 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -3, -1, 259, 2, 5 in increasing order.\nAnswer: -3, -1, 2, 5, 57, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*c**(-9) assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)\/z**(-2\/15)*z**(3\/7)*z*z*z**(4\/5)\/z*z)**(-45) assuming z is positive.\nAnswer: z**(-177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -223\/2841300 and 137\/4620?\nAnswer: 2841300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 139*m + 5. Let z(u) = 217*u + 37. Let a(y) = 214*y + 27. Let t(s) = 3*a(s) - 2*z(s). What is -7*b(r) + 5*t(r)?\nAnswer: 67*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 - 5*m + 4. Calculate q(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 0 + -3 + 1 + sqrt(242) + -2 + sqrt(242) + 5 + -2)*-3)**2.\nAnswer: -396*sqrt(2) + 8721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 3, n: 12, a: 2}. What is prob of sequence nt?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*i - 18, -5*i + 2 = o - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 250309054, 250309053, 250309052?\n\"Answer: -g + 250309055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*i - 33 - 84*i - 33 + 66.\nAnswer: -38*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3376*k**2. Let l(i) = -i. Give g(l(p)).\nAnswer: 3376*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 163*w**4 + 975*w**3 - 2*w**2 - 9*w - 14955.\nAnswer: 1956*w**2 + 5850*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4 + -1)*(-1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 429*k**3 - 3*k**2 + 3*k - 15*k + 3*k**2 - 421*k**3 to g*k + j*k**2 + d + s*k**3 and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 11*c = -3*o - 10, -2*c + 5*o + 8 = 0. Let d(s) = -21*s**2 - 105*s - 105. Let v(m) = -m - 1. What is c*d(p) + 105*v(p)?\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = 3*l, 3*l = 6*v - 3*v - 6. What is the hundreds digit of -435*((-5)\/15 + l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 17 + -7 + (-1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 2\/35*k**7 + 0 + 0*k - 4*k**2 + 0*k**6 + 0*k**4 - 1\/6*k**5 + 0*k**3. What is the third derivative of q(a) wrt a?\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1264048.81 and -0.012559.\nAnswer: -1264048.822559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106651044 and 1016?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178268 by 44567.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, a: 1, p: 1, j: 1, o: 1}. What is prob of sequence al?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*a + 6822, 2*v = a + a + 2732. Let i be (-10)\/6 + v\/18. Suppose 298 = 4*s - h, -4*s + 384 = 5*h + i. Does 33 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.028, 0, -3 in ascending order.\nAnswer: -3, 0, 0.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, e: 1, n: 4, y: 1, l: 1, z: 1}. Give prob of picking 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4 + 1 + 2 - 2 - 4 + 0 + 3 + (-1 + 0 + 2)*(3 + 0 - 2))*(2*u**2 + 3*u**4 - 2*u**2).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 803597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -283, -426, -433, -304, -39, 362, 899?\n\"Answer: 68*c**2 - 347*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -139, -556, -1241, -2194, -3415?\n\"Answer: -134*r**2 - 15*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -67. Suppose 0 = 5*x + q + 269, -4*x - 20 - 196 = q. Let l = g - x. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104853846 and 34951282.\nAnswer: 104853846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-220)*-12*(-5)\/9*27.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7656 divided by -6\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 656 + -626. Let v(o) = o**2 - o - 22. Let s be v(0). Let p = m + s. Calculate the remainder when p is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.301 - 0.099. Let w = 5 - 9. Let i = 3 + w. Which is the closest to i? (a) h (b) 1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -444 + 125 + 106*u - 4*u**2 - 101 - 18*u.\nAnswer: -4*(u - 15)*(u - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 19 - 19)*(3*v**4 + 0*v**4 + v**4).\nAnswer: -124*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 50 = 3*a - 5*t, -3*t + 6 = 3*a. Let m be (2 + a\/(-4))*20. Let b be 10*(-3)\/(-27)*9. What is the greatest common factor of b and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232553483 is divided by 1536.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 6*r. Let k(s) = -s**2 - 7*s - 1. Let j(z) = 3*k(z) + 4*l(z). Let q = -15 + 10. What is the remainder when 19 is divided by j(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (-1 - (-15 + 11)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 3. Let o be 100\/(-12) + (-1)\/j. Let f be ((-1)\/(-2))\/((-4)\/o). Is -3 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/12 (b) -4 (c) -334.31 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15663.7108 or -1?\nAnswer: 15663.7108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18316 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 994550001 to the nearest integer?\nAnswer: 31536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 6*r - 149, 3*i + 32 + 46 = 3*r. Solve -r = 5*n - 4*o, 6*n - 3*o = 2*n - 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 45483*q - 359 = 45484*q, -3*d + 3*q = -225 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*g + 18, -j + 9 = 2*j. Let p = -1 + 1. Sort 2, g, p.\nAnswer: g, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = -3*w - 3, 5 = 2*x - w. Factor 4\/5*j + 1\/5*j**4 - 4\/5*j**3 - 4\/5 + 3\/5*j**x.\nAnswer: (j - 2)**2*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/9 - (3 - 1). Suppose s*u + 4*r = 2*u + 20, u + 2*r - 10 = 0. Solve 4*i + i + 5 = u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 8:11 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*p - 3 = -6*t, -2 = -2*t + 2*p. Let u be ((-8)\/(160\/15))\/3. Which is the nearest to u? (a) 2 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22110*m**3*p**3 + 3028*m**2 + 2*m*p**3 + 4*m wrt m.\nAnswer: 132660*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5992 is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -18409470?\nAnswer: 1840946b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/95 and 50.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.5594 - 1.0594. Let b = -11 - -4. What is the nearest to -0.1 in b, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1072 - -3?\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 0.1, 0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -169387310.5 rounded to the nearest one hundred thousand?\nAnswer: -169400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 34?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/352 and 87\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84) + sqrt(84)*4*-6 + sqrt(84))*-4)\/(-2*sqrt(1200) + (sqrt(12) - sqrt(12)*-4)*-3).\nAnswer: 88*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -16. Suppose -4*o + 15 = o, -q = -2*l + 5*o. What is the highest common factor of l and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462216808.\nAnswer: 2, 17, 359, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -4.8. Let o = -0.297 - 0.003. Which is the nearest to 3? (a) -4 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145b96 (base 14) to base 11\nAnswer: 443609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, g: 1, s: 3, r: 4}. Give prob of sequence fgsr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -57*g**3 - g**2 - 8*g + 1. Let a be x(-4). Suppose a - 11905 = -10*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*n + 0 - 17128*n**2 + 7 - 7.\nAnswer: -17128*n**2 + 43*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -495, -4, -29 in decreasing order.\nAnswer: 0, -4, -29, -495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Suppose -w*h = 3*h. Let v(n) = n + 9. Calculate the remainder when v(h) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 8527.\nAnswer: -2558.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**2 + 3*k**2 + 2*k**2 - k + k**2 + k + 4*k + k**2 - 4*k + (k - 2*k + 2*k)*(1 - 1 - 2*k) - 4*k**2 + 3*k**2 - k**2 + 1 - k**2 - 1.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 359*z - 1. Is u(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34591*0.4\nAnswer: -13836.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 18*a + 50. Let v be h(5). Let w = 0.1 + -0.1. What is the biggest value in 0.5, v, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35243, -35373, -35503, -35633, -35763, -35893?\nAnswer: -36023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15260847 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-2 + 6)) + -7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9108.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -9*o + 513. Calculate the highest common divisor of 108 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimfifi. Give prob of sequence imi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6901 = 604*w + 7025 + 570 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*p + 5*u, p - 9 = -2*u + 13. Let m = p + 13. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 16 + 45)*(-4*n**4 - n**4 + 2*n**4) + (n**3 + n**3 - n**3)*(4*n - n - n).\nAnswer: -193*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - k = -62, -8 = 4*k - 0. Is 16 != m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -1.2. Let x = -6 - n. Suppose 4*l = 2*q + 8, -2*l - 7*q + 5*q = -10. Sort l, x, 0.1.\nAnswer: x, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = -8*r + 149 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 + 1476 + 2*z**2 - 494 - 461.\nAnswer: 2*z**2 + 731","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4335 = 3*z + 2*z. Let q be 1*((1 - 0) + z). Is 29 a factor of q\/(-10) - (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 390\/18)\/((-2)\/3). Suppose 9*j - 257 = k. Suppose 23*i - 25*i + j = 0. Calculate the greatest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 5) to base 13.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k**3 + k**2 + 6*k + 5. Let b be s(-2). Let t = -47 - b. What is the common denominator of -53\/14 and (-146)\/t + (-1 - 16\/(-12))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -54*h - 11520. Which is smaller: h or -1075\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/17054 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010110010010000 (base 2) to base 3.\nAnswer: 120120012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(0*d + 0*d - 2*d)*(16 - 3*d - 16).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7766.1km to micrometers.\nAnswer: 7766100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 78196 - 78196.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + n**2 + 3*n - 4. Let t be o(2). Suppose t = -0*a + 5*a. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/300 + f**3\/30 - 19*f**2. What is c in t(c) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61428 is divided by 61416?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2077.706 + -14.706. What is the smallest value in -0.2, 0.4, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/(v\/v**1))\/v)\/v**(-2\/5))\/(v**6\/v*(v\/(v*v\/v**6*v*v*v))\/v))\/((v**5\/v)\/(v*v**(2\/5)))**25 assuming v is positive.\nAnswer: v**(-348\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -648, -2561, -5706, -10077, -15668, -22473?\n\"Answer: u**3 - 622*u**2 - 54*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 13) to base 8\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*z + 11, -4*z + z - y - 9 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 + (-14)\/49. Suppose 0 = -x*s + 3*s - 5*z + 35, s = 2*z - 13. Let r(p) = -3*p - 1. List the prime factors of r(s).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - o + 3 = 3*p, 4*o = -2*p + 18. Let k be 2 - p - (-1 + 4). What is the third smallest value in -4, k, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 10*j**2 + j + 10. Let o be c(-10). Let w be (-1 + o)*(-3 - -2). Let h = -15\/143 + 2\/11. Which is greater: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-66 - -72) - (5 + 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*c**2 - 2*c**4 + 36*c**2 + 18 + 0*c + c - 14 to the form x*c**3 + t*c + g*c**2 + y*c**4 + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*t + 2*t. Let p = -1531 - -799. Let r = 734 + p. Solve 5*w - 18 = 2, -r*w = t*x - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1087 and -1084 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 843 - 256ba?\nAnswer: -24a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1647079 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 not equal to -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8918288ml?\nAnswer: 0.0008918288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1700*g + 11003 - 11003)*(-g + 3*g + 0 - 2).\nAnswer: -3400*g**2 + 3400*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -283.4*-2.\nAnswer: 566.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0 - 67\/3*m**3 - 1\/60*m**6 + 0*m**4 + 0*m**5 - 9\/35*m**7 + 0*m + 62*m**2. What is the derivative of k(o) wrt o?\nAnswer: -216*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + a = -110 - 135, a = -4*y + 187. Calculate the remainder when y\/(-9)*(-42)\/4 is divided by 4\/(-6) - 59\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -78*y**3 + 14*y**2 - 7*y. Let w(d) = d**3 + 2*d**2 - d. What is -2*j(x) + 14*w(x)?\nAnswer: 170*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 12454*w\/5 - 24916\/5.\nAnswer: 2*(w - 2)*(w + 6229)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12177.27ms?\nAnswer: 0.003382575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 10*a + 14. Let c be s(-11). Let t(h) = 0 + 0 - 3*h. Give t(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)\/(1\/1). Let d be -1*(0 + i) - 3. Suppose 0 = -134*z - 164 - 346 + 108. Which is the smallest value? (a) 16 (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2*-1*-1)\/(312\/520))\/(196\/(-84))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**8)\/n)\/n)**34 assuming n is positive.\nAnswer: n**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 7. Let f = -54737 - -54737. Sort 0.3, 16, f, v in increasing order.\nAnswer: v, f, 0.3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*c + 3, -4*c + 9*c = -3*f + 13. Find the second derivative of 5*o**3 + c*o + 0*o - 2*o**3 wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y**2. Let k(w) = 7*w**2 - 42037. Calculate k(m(g)).\nAnswer: 567*g**4 - 42037","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 3. Let a(n) = 1363*n + 18. What is a(m) - 5*f(m)?\nAnswer: 1348*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 581 - 465.4. Let o = 116 - d. What is the third smallest value in o, 1, 3, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -30*y - 3. What is the remainder when 133 is divided by l(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -636, -639, -652, -681, -732, -811, -924?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**5\/2 - 16745*z**4\/2 + 14028115*z**3\/2 - 13994635*z**2\/2 - 7014060*z + 7005690 = 0.\nAnswer: -1, 1, 1674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 - 2\/3*o**3 - 16\/3 - 8*o = 0. What is o?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1641 + 1638. What is the fourth biggest value in 1\/4, 12, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1342*x - 621743 + 620711 + 6*x**2 + 202*x = 0. What is x?\nAnswer: -258, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 4. Let r be v(-10). Suppose -r*c + 7012 = -30*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 480?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 51*b**2*g + 22739938*b**2 - 52*b*g**2 - 9*b*g wrt g?\nAnswer: 51*b**2 - 104*b*g - 9*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hchklllhhchkk. Give prob of sequence llc.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 0 - 3)*(x**2 + 5*x**2 - 5*x**2) to d + c*x + z*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/17 + (-2574)\/(-663)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27\/(-6))\/3*-2. Let a be k*(-1)\/(-5)*5. Solve 4*v - 3*r - r = 0, 4*v - r - a = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-1 - -2) + 5. Let q = 6 - 9. Let u be (-4)\/q - 2\/(-3). Solve 0 = n*c - 5*r - 5, -u*c + 4*r = 3*r - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1. Let o(p) = -3*p + 5. Let x be 3 - 5 - -1 - 0. Let i(h) = x*o(h) + z(h). Differentiate i(w) with respect to w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -116, -291, -568, -965?\n\"Answer: -3*y**3 - 24*y**2 + 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, d: 2, p: 1, r: 4}. Give prob of sequence rr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l + 32 = -26752. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1374 - 1374.7. Which is the second biggest value? (a) 0 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -1, -12 in decreasing order.\nAnswer: 61, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -22. Suppose 4 - p = g. Is ((-2)\/g)\/((-2)\/(-489)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let g = -288 - -290. Let f(d) = 0*d**2 - d**2 + 5 + 2*d**g. What is u(f(i))?\nAnswer: -i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29467669 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 607\/(-7) - 20\/70. Let d = t - -89. Solve d = -p + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12282934 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = n - 2*n + 26, 22 = 7*n - 3*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 200*d**5 + 218*d**5 - 14*d**3 + 132*d**5 + 14*d**3 + (3*d**2 + d**3 - 3*d**2)*(3*d**2 - 4*d + 4*d).\nAnswer: 553*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/3, 4, 1\/2, -1.5.\nAnswer: -1.5, 1\/2, 4\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkzk when four letters picked without replacement from kfkkkzkkk?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23323*a**3 - 41 - 63240*a**3 + 24 + 17.\nAnswer: -86563*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-6))\/9*(-11)\/2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 374 and 442?\nAnswer: 4862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**3 - j**2 + 9*j - 11. Let a(o) = 2*o**3 + 4*o - 5. Let g(y) = 7*a(y) - 3*l(y). Give g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*k + 0*k = 16, 3*a - k = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -6 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(6\/11)))\/(l**16\/l) assuming l is positive.\nAnswer: l**(-171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13354, 46, 0, 1.\nAnswer: -13354, 0, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-1*6) + sqrt(76))\/(sqrt(8)\/(sqrt(8)\/sqrt(4))) + (sqrt(228)\/(2*sqrt(12)) - (sqrt(171) + 0))*5.\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j**3 - 45*j + 45*j)*(1 - 1 + 2).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 341 = -339. Solve -5*s = 2*f + 10, -3*f + 2 = -s + w*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2272278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419 = 19*t - 172 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -129187*v + 36559915. Determine m(283).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 21*z + 14. Let i be y(6). What is the remainder when 73 is divided by 31\/i*(-2 + 22)\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020311221 + -2?\nAnswer: -1020311223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 512632338*u**4 - 701*u + 73202.\nAnswer: 6151588056*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c + 51. Determine m(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354541055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 457090?\nAnswer: 2, 5, 43, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + 3*g**4 - 4*g**4 + (10*g - 7*g**2 - 10*g)*(-3*g + 2*g**2 + 3*g).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3384705, -3384703, -3384701, -3384699, -3384697, -3384695?\n\"Answer: 2*r - 3384707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000207207 to 7 decimal places.\nAnswer: -0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4906940091750 and -1.\nAnswer: -4906940091751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 175045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.48 or -7?\nAnswer: -15.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*r**2 - 1 - r - 2*r**2 + 17*r**2.\nAnswer: 199*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 3*u**2 - 4*u + 13. Determine b(3).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 157*1327.3\nAnswer: 208386.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2477, -2382, -2121, -1610, -765?\n\"Answer: 14*s**3 - s**2 - 2490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a + 3. Let x be n(-3). Let b = x + 41. What are the prime factors of b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let g be v(1). Suppose -5*w = -3*y + g - 16, 3*w - 6 = y. Let p be 3*2*(4 + y). Solve 3*r + 3*t - 6 = p, -r = -2*t + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + (-3 - -3) - (17 - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136360.\nAnswer: 2, 5, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (1 + -5)) + -16 + 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -255\nAnswer: -4\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24572\/3 - -8222. Which is the nearest to -0.1? (a) 5 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 26, -10, -42, -70, -94, -114?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1207083?\nAnswer: 3, 402361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*-2*3. Suppose -63 = b*i - 0*i. What is the units digit of i\/2*12\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-12)*(u*u**(4\/3))\/u*u*u**(-4\/9)*u\/u**(-15)*u assuming u is positive.\nAnswer: u**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1647.546939 + 9.122.\nAnswer: 1656.668939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 15.7, 11.\nAnswer: 1\/3, 11, 15.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 2*b**2 + 3. Let k = -40 - -40. Let m be v(k). Suppose m*s = 7*s - 732. What is s rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Let p = -3 + 3. Suppose -n - l*n + 75 = p. Solve 6*c - c - n = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6 - 1 - 3 + 7*c**2 + 4*c - c**2. What is the units digit of d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/2 + 7113 + 4. Let f(t) = -7121 + z + 16*t**2. Let x(g) = 8*g**2. What is f(x(l))?\nAnswer: 1024*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 + 3*f - 14. Let d(s) = -4*s**2 + 11*s + 17. Let k(u) = -10*u**2 + 26*u + 38. Let j(z) = 7*d(z) - 3*k(z). Give -17*j(b) - 6*l(b).\nAnswer: 2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -364888 or -729775\/2?\nAnswer: -729775\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5337.93 and 0.0452?\nAnswer: 5337.8848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/(z*z**(3\/2)))))**(-34)\/((z*(z\/((z*z**(8\/9)*z)\/z))\/z)\/z**(-2\/27)) assuming z is positive.\nAnswer: z**(2317\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2273 = 2*m - 2265 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - 0) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.052 (b) -2\/11 (c) -5 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86755 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*j = -2, 0 = -4*n - n - 5*j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -16*d**3\/3 + d**2\/2 + 7*d. Let u(p) = -p**3 - 4*p**2 + 5*p - 3. Let x be u(-5). Is h(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 0. Sort x, -3, -0.3, 0.1 in decreasing order.\nAnswer: x, 0.1, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 - 2*c**2 - 2*c + 1. What are the prime factors of n(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6484*m**2 + 2*m + 6484*m**2 + 8*m**3 - 3 + 7 - 4.\nAnswer: 8*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -i + 6*i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 19*n**3 - n**2. Let u(m) = -19*m**3 + m**2. Calculate 5*o(b) + 4*u(b).\nAnswer: 19*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p + 74. Let f be t(14). Suppose -16*o = -f*o + 1414. List the prime factors of o.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1985, -1982, -1979?\n\"Answer: 3*y - 1988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 1:32 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 5441508*f**2 - 2467527983487*f - 24674735687070.\nAnswer: -3*(f + 10)*(f + 906913)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 4) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 + -1927\/11. Is 1 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -16*g**2 - 6*g - 75. Let x(h) = -29*h**2 - 11*h - 155. Calculate 11*j(m) - 6*x(m).\nAnswer: -2*m**2 + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2626 is divided by 1261?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + g + 8. Let c be (14 + g)*1\/2. Suppose w - 20 = -w. What is the greatest common factor of c and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -89279251, -89279252, -89279253, -89279254, -89279255?\n\"Answer: -b - 89279250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 468780 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170) + sqrt(170) + (-1*sqrt(170) - sqrt(170))*6))\/((sqrt(10) - -1*sqrt(10)*4) + sqrt(10)*-1*6).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64114, 128070, 192004, 255910, 319782, 383614, 447400?\nAnswer: 511134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -24. Let z = 21 + -19. Suppose -a - z*a - 15 = 3*q, 5*a + 2*q = -19. Which is greater: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from pvvquppmmvvvppqm.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddbdb. What is prob of picking 1 b and 3 d?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4 - a**3 - a**3 - 6*a - 10*a**2 + 3*a**3 + 4*a**2. Let i be 1\/(-1) - (-7 - 1). Let k be n(i). Solve -2*p + 3*p = k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1933750 or 3867501\/2?\nAnswer: 3867501\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 130777*l**4 + 130775*l**4 - 21*l - 12*l**2 - 6 in the form w*l**2 + c*l + z + a*l**3 + b*l**4 and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2304762.55 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 416 - 367. Solve 0 = 7*h + 21 - b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 14 = p, -164*m = -163*m - 2*p + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1. Let m = 2 + -3. Suppose 7*i + 54 = -2*i. Let l(j) be the third derivative of -j**4\/12 + j**3 - j**2. Give i*d(b) + m*l(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/5610 and -105\/638?\nAnswer: 162690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 382921441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15244 divided by 4392?\nAnswer: 3811\/1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 5:01 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -6 - (22 + -26)) + 35\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 869 - w - 431 - 437. Let q = -71 + 65. Let s(b) = 2*b**2 + 8*b - 16. Let y be s(q). Determine u(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 3. Let w be b(3). Let u(f) = 5 - w*f - 3 - 11. Let h be u(-6). What is the greatest common divisor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2\/4 - 235*n\/4 - 495 = 0. Calculate n.\nAnswer: -36, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3825 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtqih. What is prob of picking 1 t, 1 i, and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/145 and -44\/87?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0282 + 1.1?\nAnswer: 1.0718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 14.15\nAnswer: -14.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16 = 5*u, -4*x + 13 + 3 = 5*u. Solve 5*z = -u*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15423 is divided by 3084.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**5\/5 + 300492*s**4\/5 + 7523718642*s**3\/5 - 45150425472*s**2\/5 + 13545698607*s - 6020417340 = 0.\nAnswer: -50085, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.4043449 plus 35?\nAnswer: 708.4043449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 49743078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from {i: 9, w: 3, k: 2, m: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p = -t + 21*p + 11, 4*p = -2*t - 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2 - 198*p - 7112 = 0.\nAnswer: -28, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = -12*j + 458. Let l = j - 56. What is the greatest common divisor of 264 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 5. Let v = 259939 + -259935.99999. Let s = w + v. Round s to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 35, -22, -133, -316, -589?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6612, 1, -15.\nAnswer: -15, 1, 6612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 158*o - 1152. Does 3 divide u(-64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -3 (c) 3 (d) -30.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258969?\nAnswer: 3, 86323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3889.745 years to centuries.\nAnswer: 38.89745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j - 2*q + 12, 0 = 4*j + 3*q - 15. Let h be ((-20)\/8)\/((-3)\/j). Suppose -h*g + 455 = -4*a, -g - 3*g + 373 = -5*a. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 950 divide 1187500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:51 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53233*a**3 + 65998*a**2.\nAnswer: 319398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9225290 (base 10) in base 15?\nAnswer: c23645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**2 + 1\/2*r**3 + 1\/120*r**6 + 0*r - 1\/8*r**4 + 0 + 1\/20*r**5. Determine f(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13510354 (base 6) to base 11.\nAnswer: -294854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -731*t**3 + t**2 - 7*t - 8. What are the prime factors of p(-2)?\nAnswer: 2, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1092 + -539. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 43*f**3 + 17*f**2 + 5. Let z = 6 + -15. Let b(i) = -11*i**3 - 4*i**2 - 1. Let o(x) = z*b(x) - 2*c(x). What is o(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*i - 23. Suppose y + i = 2*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 121074767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 21. Let l be k(-4). Let d(c) = c**3 + c**2 + c + 1. Let a(x) = 2*x**2 + 2*x + 3. What is l*a(n) + 2*d(n)?\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -s - 0*s + 707, 3*s - u = 2105. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3 and -101\/514?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12122 (base 6) to base 16.\nAnswer: 6f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019764314 rounded to five decimal places?\nAnswer: -0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a factor of 28394355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53482*k**3 + 175448*k**3 - 43306*k**3 + 340073*k**3.\nAnswer: 418733*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**3 - 45*i + 21 + 42*i + 2*i**4 - 19 to p + g*i**2 + d*i**4 + y*i**3 + a*i and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -2, -5293, 0 in increasing order.\nAnswer: -5293, -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (45 - 45 - 9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 500489415.55 - 500489934.82317522. Let t = w - -288.27317405. Let h = t - -231. Round h to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22677*u**2 + 88838 wrt u.\nAnswer: 45354*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**3 + 2*y**2 + 3*y - 4. Let q be x(1). Sort -4, q, -2 in decreasing order.\nAnswer: -2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97942.76 days in seconds?\nAnswer: 8462254464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37\/4 + 9. What is the nearest to -2\/7 in -0.3, u, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3461 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -40024647.\nAnswer: -40024647, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 87. Sort -1\/4, -1, t in descending order.\nAnswer: t, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -439*y**5\/60 - y**4\/12 - 25*y**3\/3 + 505*y**2. What is the second derivative of r(z) wrt z?\nAnswer: -878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyyyjojjjhojjyhyhyjy. What is prob of sequence hoo?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4291 and 56\/45?\nAnswer: 193095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021012 - -10?\nAnswer: 2021022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1986 and 1\/(45\/97)*(45 - 2001\/46).\nAnswer: 9930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 4. Let d be t(-2). Let b be -2 - (-12)\/d - 2. Suppose -k + 5 = 2*l, -b*l - 4*k - 40 = -6*l. Solve l*v + 3 = -12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen quarters of a millisecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108 by -424.\nAnswer: -27\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34894045 or -34894050?\nAnswer: -34894050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*j + j + 5*s, 10 = -2*s. Let f(d) = -13*d + 12*d + 3071*d**2 - 3070*d**2. Let v(i) = -8*i**2 + 10*i. Determine j*v(o) + 10*f(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -5*q**9\/126 - 23*q**5\/60 - 11*q**2. What is the third derivative of s(h) wrt h?\nAnswer: -2400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503401 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-591)\/(-10638)*(2\/11 - (-936)\/(-66))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 + 738*z**2 - 4*z + 6. Let t(u) = 12*u**3 - 2952*u**2 + 18*u - 27. Calculate 18*k(w) + 4*t(w).\nAnswer: -6*w**3 + 1476*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**6\/120 + 7*c**5\/60 - 5*c**4\/12 + 7*c**3\/2 - 37*c**2. What is the remainder when d(5) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.867132ns in seconds?\nAnswer: 0.000000000867132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/10 - -1)*-5. Calculate the common denominator of (-28)\/p - (-2 - -1) and -83\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/sqrt(192))\/sqrt(2) + sqrt(325) + (sqrt(325)*1 + 5)**2.\nAnswer: 221*sqrt(13)\/4 + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0)\/(-2 - -1). Suppose h - x - 3 = 0. Suppose -4*c + 36 = 2*a, a + h*a + 4*c - 72 = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/90 - 13\/18. Let u = -1555\/9 - -173. Put 5, p, u in decreasing order.\nAnswer: 5, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**2 + 90*b + 5. Let n be u(15). Solve -n*q = -42*q + 74 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = n + 15, 4*n = 3*w + 2 + 3. Calculate the remainder when 175\/35*39\/n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 f when three letters picked without replacement from {t: 2, v: 4, w: 4, r: 2, f: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-2)\/10)\/((-22)\/55)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2245*q**2 - 1218*q**2 - 533*q**2 + 1121*q**2.\nAnswer: -2875*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 473*b - 140. Is q(21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -33. Suppose 0*k = -a*k + 6. What is g in -16*g**k - g**4 + 0*g**4 - 3*g**4 + 16*g**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1238 is divided by 58?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let s(r) = r**2 - 11*r + 6. Let u(b) = 2*n(b) - s(b). Suppose -4*m = m - 40. What are the prime factors of u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o + 5. Let l be v(-4). Let h be (2 + -2)*(l + 4). Suppose 4*m = -3*u + u + 5108, h = -u - 3*m + 2551. Round u to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1090, -5205, -12062, -21661, -34002, -49085, -66910?\n\"Answer: -1371*w**2 - 2*w + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.063538 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3 - w**2\/2 + 3*w = 0.\nAnswer: -2, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8872461.\nAnswer: 3, 13, 75833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31455 divided by 6291.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139410 = -p - 3490. What is p rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 935*c**2\/2 - 217147*c - 1319766.\nAnswer: -(c - 938)**2*(c + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 119818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 0*i**2 - 2*i**2)*(0 + 1 - 3) - 2*i**2 + 3*i**2 + i**2 + (0*i - 3*i + i)*(-3*i + 2*i + 3*i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*a, -3 = -3*r + 5*a + 5. Let y be 66\/14 + r\/(-14). Solve -2*p = -y*m - 3, m - 1 = p + p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11978669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 + 52*j + 1690.\nAnswer: 2*(j + 65)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25693915.\nAnswer: 5, 13, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) + sqrt(8) + -4*(1*sqrt(8) + sqrt(8)))*-3)\/(sqrt(44)\/sqrt(99) - (1*sqrt(144) - sqrt(144))))**2.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 672 + -1014?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31465212151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17809, 35504, 53087, 70558, 87917, 105164, 122299?\nAnswer: 139322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11064 divided by -922\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37541551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmdmxgik. What is prob of picking 1 m and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*z - 75*z = -300. Suppose 0 = 3*n - 2*v - 95, 2*n + 7*v = 9*v + z. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -575 + 882. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/10)\/(1 + 0). Suppose t = -4*b + 2*b + 2*z + 26, 4*b + z - 47 = 0. Let n = b + -8. Solve -5*v + 14 = -2*g + 4, 2*g - 2*v + n = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21667.983 + 21665. Put -3\/2, -3, g in decreasing order.\nAnswer: -3\/2, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, b: 3, n: 5, u: 6}. Give prob of picking 2 b.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*b + 97*b - 1352. Let d be (-1 - (-84)\/b)*(-12)\/15. Let v = -2 - -2.2. Sort d, v, -2\/7, 4.\nAnswer: -2\/7, d, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2. Let f(s) = -s + 1. Let p(c) = 11*c - 5. Let h(z) = z**3 - 2*z**2 + 4*z - 3. Let x be h(2). Let u(l) = x*f(l) + p(l). Give r(u(d)).\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 7*o**2 + 3*o - 16. Let l be v(7). Let x = 7342402\/153585 - 554\/3413. Let c = 236\/5 - x. What is the smallest value in l, c, 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4943.\nAnswer: 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 73608*q + 662557. What is o(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*u + 12 = 0, -3*v + 7*u = 2*u - 17. Suppose c + 95 = 5*n - c, -53 = -v*n - 3*c. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3687600 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12 + 105\/25 + -16 - 9\/(-5). Solve -5*z = a*o, 5*z - 20 = 10*z - 2*o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:31 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 12. Let p = -4 + x. Solve 4*w - c = -4, p*w + 16 = 3*c - 5*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i. Let a(h) = 2*h - 6500. Determine v(a(o)).\nAnswer: 28*o - 91000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l + 3*l + 5*l. Let r(s) = -66*s**2 + 20599*s - 20599*s + 12*s**2. Determine r(p(g)).\nAnswer: -216*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*v - 45 = 4*n, -2*v + 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 782439058 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177538306 and 1529.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 13*h - h + 4 + 0*h. Let d(a) = -4*a - 2. Determine 5*d(l) + 3*f(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -186*m**2 + 45283. Is n(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ton when three letters picked without replacement from toqjtanaaojqtttqqt.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 111*s - 2381 - 4723. What is the lowest common multiple of s and 80?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 153\/17 + (-2 - 4). Let i be (-2)\/(-4) + (-13)\/26. Let k be i\/(1*(2 - 1)). Put k, 4, x in descending order.\nAnswer: 4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 12. Let t be f(0). Let d = t + 4. Calculate the greatest common divisor of d and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30 - -2035435?\nAnswer: 2035505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 266, 10.\nAnswer: 10, 11, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -28 + (-2 - (-3 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 1874*x + 30245. Give g(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 44. Let u(j) = -9*j - 4. What is u(r)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-15\/7))\/n*n**17*n*n*n)\/((n\/n**(-2\/37))\/(((n\/n**(5\/3))\/n)\/n*n)) assuming n is positive.\nAnswer: n**(15868\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**2 - 10*r**2 + 3 + 0.\nAnswer: -26*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 3*z**2 + 0*z**2 + (1 - 5 + 3)*(3*z**2 - z**2 - 3*z**2) - 15*z**2 + 5*z**2 + 5*z**2 + (-3*z + z + 0*z)*(-2*z + 0*z + z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 13*c**2 + 347*c + 27. Let h be p(-29). Calculate the highest common factor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1786832 and 631328.\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -8 - 7)*(-14)\/6. Suppose -12 = -5*v + c*v - 4*w, -4*v = -w + 10. Let z(k) = 8*k + 17. Let i(y) = 2*y + 4. Determine v*z(j) + 9*i(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -7. Suppose -a*q + 0*q + 120 = 0. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w. Suppose 2*n - 109 = o, -4*n = -o - w*o - 219. Suppose 2*q = -a + 8 + 16, 0 = -3*a - 12. Calculate the remainder when n is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 5, j: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - f + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -5*s**3\/6 + 65*s**2\/2 + 99*s. Let y(l) = 21*l - 259. Let j(m) = -26*q(m) - 6*y(m). Differentiate j(o) with respect to o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/42 and -25\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.63 rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10622 and 1808.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4996750909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c = -v + 27, -2*v + 3*c = -64. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 + 4682*d + 182616\/13.\nAnswer: -2*(d - 30436)*(d + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(10\/8)\/((-145)\/(-58)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -788 or -789?\nAnswer: -789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8456\/(-49))\/4*(-2)\/(-12). Let r = -48\/7 - c. Sort -12\/5, -3, r in descending order.\nAnswer: r, -12\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + n**2 + 4*n**2)*(0*n - n - n) + 0*n**3 - n**3 + 2*n**3 - n**3 - 3*n**3 + 3*n**3 - 3*n + 3*n - n**3 - 6*n**3 + 104 + 107 - 4*n - 213.\nAnswer: -11*n**3 - 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 701, 1366, 1983, 2528, 2977, 3306, 3491?\n\"Answer: -4*v**3 + 693*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518174, -518172, -518170, -518168, -518166?\nAnswer: -518164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 8*p**3 + 4 - p**2 - 5 + 2*p**2 - 7*p**3. Let g(t) = 9*t**2 + 2*t - 2. Let i(z) = -g(z) + 2*n(z). Find the third derivative of i(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6770 + 6785. Let a(b) be the first derivative of 3\/4*b**4 - o - 7*b - 7\/2*b**2 + 5*b**3. Let n(q) = q**3 + 7*q**2 - 3*q - 3. What is 3*a(u) - 7*n(u)?\nAnswer: 2*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 5*d - 93 + 102 + 0*d + 8*d - 4*d.\nAnswer: 14*d + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 12:22 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -206 divided by -172999\nAnswer: 206\/172999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1042*g**3*l**3*y - g**3*y - 32*g**2*l**3*y + 6*g**2*l*y + 6*g**2*l wrt g.\nAnswer: 6252*l**3*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -244 + 243 + (-5)\/(-2)*744?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/6)\/((-1)\/(-30)). Solve 0 = v - 6*v + n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-66)\/9)*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + -2. Let o be ((-10932)\/k)\/((-12)\/(-18)). Let w = o - 1055. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4282948268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {x: 2, i: 11, j: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -179*h + 6. Let q(g) = 9*g - 35. Let k be q(-4). Let z = 69 + k. Is 52 a factor of t(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(39\/6))\/((-168)\/(-532)) + -2\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633003.\nAnswer: 3, 7, 43, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160535122 and 11.\nAnswer: 160535122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-25)\/(-5) - ((0 - 189) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -326 + 316. Suppose p + 4*l + 10 = 0, 2*l = p - 1 - 7. Sort b, 5, p.\nAnswer: b, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938468 divided by -564?\nAnswer: -3437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/3 - 5*i**4\/3 - i**3 + 17*i**2\/3 - 10*i\/3.\nAnswer: i*(i - 5)*(i - 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46*s**2 + 770 with respect to s.\nAnswer: -92*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -267, -140, -13, 114, 241?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2021466 is divided by 27317.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1441944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 6. Let h be w(8). Let f be (-42)\/(-10) + 8\/h. Suppose -5*l - 4*a = -306, -5*l + f*a - 7 = -322. Is l a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (456\/72)\/((-7)\/21)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -17*l - 5*l - 3 + l**2 + 23*l + 2. Let t(w) = -8*w**2 - 5*w + 9. What is 6*o(s) + t(s)?\nAnswer: -2*s**2 + s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26398368 and 2556.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 + 72*n - 5. Let s be q(-11). Find the common denominator of -1*1*(12 + 1112\/s) and -115\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (4 + -3 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173 take away -280234930322?\nAnswer: 280234930322.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**3 + 46*i**2 + 9*i - 5. Let v(b) = -b**3 + 9*b**2 + 2*b - 1. Let q(j) = -2*u(j) + 11*v(j). Let g be q(7). Round g to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394371.346 take away 970330?\nAnswer: -1364701.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.39 - -2.479. Let u = -2.311 - v. Which is the second biggest value? (a) 0 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -3\/4 (c) 2 (d) -8\/3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b - 12?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 2468\nAnswer: -740.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 7*f + 28. Let z(h) = -9*h**2 + 6*h + 31. Let v(s) = -6*q(s) + 5*z(s). Let b(i) = i**2. Let m(y) = -4*b(y) - v(y). Calculate m(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**3\/3 + 2*q**2 + 57*q - 31. Let b(m) = -m**2 - m + 1. Let d(f) = -b(f) + y(f). Differentiate d(o) wrt o.\nAnswer: 6*o + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.398 + -0.312. What is g rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**3 - 50 + 29 + 21 - 3*l**2 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 + -56. Find the first derivative of n + 10 + 7 + 33*h**4 wrt h.\nAnswer: 132*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2456 - 354. Let g = -6115 + v. Is (-24)\/(-60) - g\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 + 22*o. Let j(h) = -5*h**2 - 21*h. Let r(p) = 3*j(p) + 4*l(p). Let c be r(-25). Solve 0 = -c*d - 3*d + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*k - 30 = 0, 4*m - 120 = -3*k - 0*k. Suppose -m = -2*s + 24. What is the remainder when 2\/(-12)*-4*s is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-44) + (-41)\/(543004\/(-1820))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1146 + 391 = -5*n, 15 = 3*g. Let i be -8*9*n\/8. What is i rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * -21254.\nAnswer: 12752.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 5*x + 1 - x - 3*x. Let o(h) = 6*h**3 + 4*h + 4. Determine -4*m(p) + o(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.10499 - 0.00499. What is the nearest to b in 1\/50, 4, -2, -0.5?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1263832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-889 + 3742596\/4212)*(1\/1 - (-1 - 31))?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -66. Suppose a = 12*u + 1575 - 8643. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*c - 290 = 265*c. Let g = c + -289. Let p(y) = 16*y - 1. Calculate p(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(1 - 17*x**2 + 17*x**2 + x + x**3).\nAnswer: x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:18 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 8, e: 1, c: 3, j: 4, x: 2}. Give prob of picking 1 v and 1 j.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -58. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4123.8 + -1247.2. Let i = a + 5282.92. Let m = -86 - i. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -16 + 1 - 17 - 24 - 14 - 19*d. Let m be w(-4). Solve 3*b - 2*j + 4 = -0*j, -3*j = -5*b - m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -181*w**2 + w - 11. Let j(m) = -360*m**2 + 2*m - 28. What is 2*j(t) - 5*l(t)?\nAnswer: 185*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4*23\/2576)*((-12)\/40)\/3.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1135549 divided by -1135549\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22729 + -22724. Solve 3*s + 2*f = -q, 2*s + 2*f + 6 = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1257899 = -159*o + 1251857 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*o**2 + 2*o**2 + 3*o**2 + (-o**2 + 5*o**2 - 2*o**2)*(-2 - 1 + 1) + 0*o**2 + o**2 - 3*o**2 + 3823*o**2 + 36*o**2 + 830*o**2 + 2*o - 2*o + 3*o**2.\nAnswer: 4685*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*o + 11. Solve 4*k + 2 = -o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 2*h - 1. Let g(u) = -u**3 - 21*u**2 + 18. Give g(o) + 2*l(o).\nAnswer: -o**3 - 19*o**2 + 4*o + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-24) - (-248)\/21. Let o = 78\/7 - q. Which is the biggest value? (a) o (b) -1\/6 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/336370 and -18\/191.\nAnswer: 64246670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**5\/60 + 3*a**4\/8 - a**3 + 31*a**2. Determine h(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28753?\nAnswer: 28753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -0*w - w, w = 2*z - 43. Suppose -430*i + 248 = -428*i - 3*t, 3*i = 5*t + 369. Calculate the remainder when i is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/26250064 and -63\/8336?\nAnswer: 26250064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 39\/2 + ((-22)\/(-4) - 5). Let d = -14 + r. Let z be (10\/d)\/((-1)\/(-6)). Solve -2*i + 2*k + 2 = -z, -24 = -5*i + 3*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.3 - 0.7. Let n = i + 4.4. Let u = n + 0.14. Round u to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, t: 8}. What is prob of sequence iii?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 1. Let f be 16\/(-64)*-2*3*2. Let k(r) = -6*r + 3. Let g(x) = f*z(x) + k(x). Let h(q) = 6*q**2. Determine g(h(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p + 4. Let y(v) = -2*v + 1. Let q(x) = -9*x - 11. Let k(z) = q(z) + 2*y(z). Determine 4*k(w) + 9*m(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2339149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a**(1\/5)\/a*(a*a**(-1)\/a)\/(a\/(((a*(((a**1*a*a*a*a*a)\/a*a)\/a*a)\/a*a*a)\/a)\/a)))\/((a**2)**(-32))**(1\/5) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30653, -65066, -99483, -133904, -168329, -202758?\n\"Answer: -2*h**2 - 34407*h + 3756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40485.\nAnswer: 3, 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 31*i + 48. What is w(34)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002159298 rounded to 7 decimal places?\nAnswer: -0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let m(k) = 26*k**2 + 41*k - 40. Let j(i) = -44*i**2 - 69*i + 67. Let f(l) = -16*j(l) - 27*m(l). Give p(f(b)).\nAnswer: -2*b**2 + 3*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-15))\/(1\/((-9)\/(-3)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 12*k + 16*k = -16688. Is k greater than -1190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50716893 is divided by 1761.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1202510989+-7.87\nAnswer: -1202510996.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, -5, 1 in increasing order.\nAnswer: -19, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42918 and -0.05.\nAnswer: -42918.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 12*t - 2*t)*(2*t - 6*t + 2*t).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -2, -4 in ascending order.\nAnswer: -4, -2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + q + 10. Let r be y(4). Let h(c) = c**3 - c**2 - 3*c + 4. Let v be h(3). Let i = v + r. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.4, -0.184, 5?\nAnswer: -0.184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 10. Suppose n + 47 = -5*a, 4*a = -5*n + 3*a - 211. Let d be 4 - ((-1)\/3 - (-322)\/n). Solve -5*f + 4*b = d, -3*f - r*b + 12 - 3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*b + 7 = 0, -3*v + 2*v + 3*b = 7. Let o = v + 23. What is the remainder when 63 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + 5 + -4*(1 + sqrt(1900)) + 5 + sqrt(1900) + sqrt(1900)*2 + 5)**2.\nAnswer: -300*sqrt(19) + 2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547673 is divided by 696.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 780, 2791, 6084, 10671, 16564?\n\"Answer: 2*o**3 + 629*o**2 + 110*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/4 (c) -4 (d) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -7*y**3\/3 - 4*y - 15. Find the first derivative of a(d) wrt d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + -55.9. Let n be -6 - -7 - 5\/4. What is the closest to t in n, 1, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.3 to 0 decimal places.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17066\/566865 - -2\/4199. Let b = -1\/27 + a. Let h = -4\/15 - b. Is -1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/2 - (58 + -65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122239213 to the nearest integer?\nAnswer: 11056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-4 - -3)*-1. Suppose 3*y = -p*y + 126. Suppose -2*q - 42 = -4*q. What is the greatest common factor of q and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 11:21 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 39, -1, 5 in descending order.\nAnswer: 39, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2328563 (base 10) to base 11.\nAnswer: 1350536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 22, -2, 90685, -15, -5 in decreasing order.\nAnswer: 90685, 22, 4, 3, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/12)\/(80\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -11*r - 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 + 776680*q + 150807955600 = 0. Calculate q.\nAnswer: -388340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 31\/(-180) + (-4)\/(-18). Let j = r - 3\/10. Let g = -31\/2 - -15. Which is the second smallest value? (a) g (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10809 by 3603.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/(k**(-1\/4)*k))\/(((k*k\/(k*(((k*k*k**(-5\/3)*k*k)\/k)\/k*k)\/k))\/k*k)\/k*k**(-1\/4))*((k**(-2\/7)\/k)**(-46))**(-29) assuming k is positive.\nAnswer: k**(-71749\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*w**2 - 12 + 13 - 68*w**2 - 157*w**2.\nAnswer: -397*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 77\/25 in -1\/2, 75, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:04 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1867901 and 3076?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.61 + -0.39. Let r = 2761\/85 + -163\/5. Which is the biggest value? (a) r (b) -0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167677582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*h = 3*s + 4, 2*s + 2*h = 12. Calculate the remainder when 437 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-256)\/(-6)*(0 + (-6)\/(-4)). Suppose x = 2*x - t. Suppose 43 = 2*r - 3*y, -5*y + 25 = -r + x. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 244596 and 6315024?\nAnswer: 69465264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**7\/5040 - q**6\/240 + 35*q**4\/12 + q**3\/3 - 109*q. Let m(b) be the third derivative of a(b). Factor m(f).\nAnswer: f*(f - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -787*z**3 + 915*z. Let p(w) = 1575*w**3 - 1831*w. Let v(g) = 5*f(g) + 2*p(g). Find the second derivative of v(s) wrt s.\nAnswer: -4710*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Let a be ((-1 + 21)\/(-4))\/1. Calculate o(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1894956.\nAnswer: 2, 3, 7, 17, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 12177*w**2 + w + 45053*w**2 - 22619*w**2 to the form z*w**2 + l + n*w and give z.\nAnswer: 10257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*21.875.\nAnswer: -6.5625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u + 5. What is the lowest common multiple of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883 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 1285 and 21095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-2133) + 12261\/(-674660)?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/7)*c**(-2\/17))\/(c\/c**3*c**(-1\/2)) assuming c is positive.\nAnswer: c**(703\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4250.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458270?\nAnswer: 2, 5, 45827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -3, -2, 5 in descending order.\nAnswer: 76, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.95 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 163*-8\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -31 + 38 - s - 6*s. Let v be q(2). Let u be 2\/1*(22 - v). What is the greatest common divisor of 87 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -6) + (-6 - 1). Let b be (n\/(-280)*5)\/((-4)\/(-7)). Suppose -b*d**4 + 1\/4*d**2 + 0 + 1\/2*d**3 - 1\/2*d = 0. Calculate d.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-9)\/(-6))*1)\/(224\/(-336)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536789 (base 10) in base 3?\nAnswer: -2220002002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*a**4 + 0*a**4 + a**2 + 4*a**4 + 2*a**4 - 2*a**3 as t + v*a + j*a**4 + h*a**3 + o*a**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -970, -4900, -11442, -20590, -32338, -46680, -63610, -83122?\n\"Answer: b**3 - 1312*b**2 - b + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 46*w**2 - 364*w + 24. Determine g(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1027601 by 1126.\nAnswer: 1027601\/1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0, 384 in increasing order.\nAnswer: -4, 0, 5, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70007 - 70004. Suppose -3*w + 39 = -4*w. Put -5, b, w in decreasing order.\nAnswer: b, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 + -21)*-5)\/1 + 17 + -11. Suppose 2*q + 21 = p - 40, -4*p - q + 244 = 0. Let c = x + p. What is the greatest common factor of c and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4 - 2, -2542 = -5*t - 4*o. Is 51 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241084 is divided by 128.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 + 36 = 42*l. Which is smaller: l or -39\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 88 - 48. Suppose h - k = -4*h + 3*n, 18 = 3*h - n. Suppose -4*p - 5*j + 4 = -6*j, 10 = -h*p + 5*j. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) -131.5 (c) 7 (d) 2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 0*y + 1242 = -97*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 531 - 3979. Let l = b + -771. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1285633, -1285625, -1285617, -1285609, -1285601, -1285593?\n\"Answer: 8*s - 1285641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -406*f + 200. Let p be a(-15). What is p rounded to the nearest one hundred?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w - 15. Let k be f(-5). Suppose k = 2*l - 2*i - 122, -2*l + l - 5*i + 55 = 0. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.348741 litres to millilitres.\nAnswer: 7348.741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 881, 885, 889, 893?\n\"Answer: 4*q + 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -55? (a) -0.2 (b) 2 (c) -2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**1))**46*(h**1*h*h)\/(h*h**(3\/2)) assuming h is positive.\nAnswer: h**(-91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -50. Let k = p + 3. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x. Let i be t(2). Suppose -2*b - 8 = -2*w + 6, -2*b - i = -5*w. Sort 3\/8, 1, w in ascending order.\nAnswer: 3\/8, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619356007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k + 200 - 3170. Does 33 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4248 - -0.2461. What is z rounded to 3 decimal places?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from eeeneennnneeee?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 4*t + 30 = 0. Solve 5*s + a + 14 = -10, -3*s + t*a = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 10:04 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (623\/(-49) + 13)\/((-10)\/(-28)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/9 - 4009796*n**3\/9 + 223308880714*n**2 + 3126391605792*n + 10049180319360 = 0.\nAnswer: -9, -5, 1002456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020380896 to 5 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/9 - 1852*m**2\/9 - 1858*m\/9 + 412 = 0.\nAnswer: -2, 1, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -12.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4880 and 4880.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69296343 to the nearest integer?\nAnswer: 8324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3421 (base 6) to base 5\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55426609 is divided by 635.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 11*m**2 - 5*m + 33. Let x be n(11). Let o(p) = -p**2 - 11*p + 1. Let z be o(-7). Let f = z + x. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/16 + (-9 - -12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -59. Solve -h*w = 4*q - 18, -2*w = -q - 3*w + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**4 + 3*x**4 + 0*x**4 + (0*x**2 - x**2 + 0*x**2)*(-4*x**2 + 4*x**2 - x**2) to m*x**2 + p*x**4 + n*x**3 + t + u*x and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.024 + 0.02. Let r = 0 + o. Round r to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 27*h + 1365287 = 146*h. Does 149 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10*12\/192*-8)\/(10\/(-96))\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**4\/12 + 11*q**3\/6 + 5*q**2 - 3*q + 3238. What is k(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = -3. Sort b, 4, -15 in decreasing order.\nAnswer: 4, b, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8248*x**4 + 211464*x**2.\nAnswer: 197952*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -3)\/3*-5. Suppose 4*x + 9 = t. Let f(o) = 10*o**3 - o - 1. What is f(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40104 and -15.91.\nAnswer: -40119.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181758 is divided by 403.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 399118 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -1\/2 (c) -114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 8:10 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59247, -59487, -59727, -59967, -60207?\n\"Answer: -240*u - 59007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1472402778.7 to the nearest one hundred thousand.\nAnswer: -1472400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12694, 12701, 12708, 12715?\nAnswer: 12722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3016 or 0.0932?\nAnswer: 3016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 0) + -2 + (-19 - -11 - -14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 17 - 2*i**2 + 7 + i in the form s*i**2 + d + y*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (8 - (-9 - (-9 - 7))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36400 - -59889. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182313, 729383, 1641167, 2917665?\nAnswer: 4558877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460395 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-9*1 - (-20)\/(-10)). Suppose 3*y - 16 = 2*t + c, 0 = -2*y + 3*t + 11. Suppose 0 = 5*b - 18 + 3. Solve b*l = y - 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 63*q - 111. Let f(j) = -22*j + 37. Determine 17*f(p) + 6*x(p).\nAnswer: 4*p - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-7 + 7 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4629*c = -4633*c - 4*s - 8, 4*s - 60 = 13*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3025 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.051*0.119.\nAnswer: 0.006069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c - 30*c - 774 + 5435 = -69*c for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 65079 = -45*a + 46*a, -4*r - a + 130153 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 989647281 to the nearest integer?\nAnswer: 31459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 209833528*s + 2751881842057924.\nAnswer: 4*(s - 26229191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 10918985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -470*h**4 + 9*h**3 + h**2 + 82*h - 15 wrt h?\nAnswer: -11280*h + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.37418 + 0.3.\nAnswer: 3.67418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**3 - 2*c**3 - c**3 + (-4*c**2 + 5*c**2 + c**2)*(-1 + c + 1 + 0*c + 2*c + 0*c + (-5*c + c + 2*c)*(3 - 1 - 3) + 6*c + 4 - 4) - c**3 - 9*c**3 - 4*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -23*b**2 - 2095*b - 117. Calculate the least common multiple of 1001 and y(-91).\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47, 71, 95, 119?\n\"Answer: 24*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7272419 to the nearest integer?\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26439794*n = 26439493*n - 4816 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*z - 2*k, 229 - 185 = 2*z - 5*k. Solve -8*j = -z - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338239 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1152?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -2*m**2 - 26*m - 8. Let j be a(-8). Suppose -2*z = -j - 168. What are the prime factors of z?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-42)*3)\/(99\/(-2178))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.37 - -134.37. Let g = a - 158.4. Let s = 24.3867 + g. Round s to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 2*y**2 + 3*y + 5. Give s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 11) to base 2.\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3 - 27691*u - 30310*u - 2. Suppose -6 = 2*d + 4. Let i be o(d). Round i to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, m: 7}. What is prob of picking 1 m and 3 x?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*s)*(75 - 9*s**2 + 12*s**2 - 1240*s + 1242*s)*(2*s + 1 - 1) to o*s**2 + r*s**4 + g + i*s + c*s**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -4 - 1)\/2. Let m(r) = -r**2 - 5*r - 4. Let t be m(-3). Do t and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43130233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 + 10*o + 3. Let b be i(-2). What is the hundreds digit of (3\/((-15)\/815))\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1519099 = 5*x - 1518724. Suppose 0 = 2*c - 4, -7*u + 2*u + 3*c - 366 = 0. Is u less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = -t. Suppose t*g - g = 0. Suppose 0 = -2*f - k - 5, 5*f = -0*k + 2*k - 26. What is the biggest value in f, g, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77 - 0?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 552?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -186*o**2\/17 + 315274*o\/17 - 6780\/17.\nAnswer: -2*(o - 1695)*(93*o - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64558 and 203606?\nAnswer: 2646878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -133*k**5\/30 - k**4\/8 + 724*k**3\/3 - 1684*k**2. Find the first derivative of r(n) wrt n.\nAnswer: -532*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1482, 2947, 4412?\n\"Answer: 1465*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 0 - (1 + 1). Suppose 1 = -3*l + i + 3, -2*l + 3*i = -q. Solve -a = 1 - l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*z + 31. Let q = -7 + z. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 305?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -19383469791998.\nAnswer: 19383469791997.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 81541181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 212.930558 to two dps.\nAnswer: 212.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**(-3)))**4)**15)**47)**(11\/9) assuming i is positive.\nAnswer: i**10340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2594a (base 16) to base 3\nAnswer: 21211011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -10) + 35 + -31 - (-8 - -8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 986 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44.4 + -43.774. Let g = b + -0.62599418. Round g to seven decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 - 6*n + 4. Let j be 20\/25*15\/(-2). Let f be v(j). Which is the closest to 0.1? (a) f (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2 + 26. Let y be v(0). Suppose -55*d = 48*d - 85*d - 54. Suppose -25*z = -y*z + d. Solve -l + z = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22097 divided by -12\nAnswer: -22097\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 - 5*q**5 + 4*q**5 + (2 + q - 2)*(-7*q + q + 2*q)*(3*q**3 - q + q).\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 60*r**3 + 35 + 58*r**3 + 30 to the form d*r + y + v*r**2 + w*r**3 and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 13. Let k be ((-52)\/(-12) - 1)*-3. Let m be l(k). Suppose 152640 + 27360 = m*z. Round z to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 f when four letters picked without replacement from ifffi?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*k + 397 = -29 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 9 + -10 + (6 - 14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 25564?\nAnswer: 76692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -2. Let t = 3.9812 + 0.0188. What is the second biggest value in t, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.592067nm in millimeters?\nAnswer: 0.000003592067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:58 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 929713*p**2 - 1 - 929712*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + a0?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - (4 + 190\/(-4)) and 46\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 1. Let h = -1 + 0. Let o be j(h). Let p = -20 - -18. Put 5, p, o in increasing order.\nAnswer: p, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = k - 5. What is the second derivative of k*y + 27*y**5 - 11*y**5 + 10*y wrt y?\nAnswer: 320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (2 - 0) - -2. Suppose v*o + 20 = -2*n, 0*n - 5 = 4*n + o. Sort n, 4, 2 in descending order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -507*u**5\/4 + 2021*u**3\/6 + 1143*u - 2. Find the second derivative of i(w) wrt w.\nAnswer: -15210*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 19\/((-95)\/(-1820)). What are the prime factors of (-1556 + (0 - -1))*k\/(-615)?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**6\/360 - d**5\/12 + d**4\/3 + 7*d**3\/3 - 2. Let k(o) be the third derivative of f(o). What are the prime factors of k(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 544*j**2. Let t be l(-5). Round t to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -1, 2 in increasing order.\nAnswer: -1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/294306 and -187\/16260.\nAnswer: 2943060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-36)*2*(-3)\/(-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 39.57.\nAnswer: -3.957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2823, 11313, 25463, 45273, 70743, 101873?\nAnswer: 138663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 12:14 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703014 + 3*a**3 - 9*a**3 - 702926.\nAnswer: -6*a**3 + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (3 + sqrt(288)) - (sqrt(162) + 2)**2.\nAnswer: -169 - 47*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 21 = 3*v - 0, 0 = 3*v - s - 9. Suppose -5 = -3*a - 4*w + 3*w, -v*w = -3*a + 8. Solve -2*m = 4*r + 14, -a*m - 5*r - 28 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2812 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 776.3 and -352.1135?\nAnswer: 1128.4135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -199203428 divided by 329807\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = 642 - 8256. Let d = u + -500. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 12*f**2 + 13*f + 4. Let i be q(11). Suppose -5*s + 3*s = -i. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27692\/9 + 775499\/252. Let j = l + -4\/7. Is j at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.011, -2, 0, -3950\/3?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (12 + 4 + 20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 15. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 0.9, 0.01, -5, 2001, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/30 - q**4\/24 - q**3\/6 - 8*q**2. Let y(d) be the first derivative of h(d). What is y(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 5*f + 3011 = 2981, 2*r + 5*f = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, y: 12}. What is prob of sequence ybyb?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 780389012 a multiple of 6169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -121*v**3 - 2015.\nAnswer: -363*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*i + 5 = 2*i, -6 = 4*h - 5*i. Is h at most -2\/12093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2346*a - 16415. Give z(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u**2 - 5*u**2 + 2*u**2)*(0*u + 0*u - 8*u**2) + 1 - 1 + 3*u**4 to k*u**4 + g*u**3 + d + x*u + v*u**2 and give k.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*n - 25 = 0, -225*q = -229*q - 5*n - 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -135700 greater than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 - 12. Let j = i - 10. Suppose -5*y = 2*b + b - 47, j*y - 38 = -2*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 2*y + 7*y - 1.\nAnswer: 6*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:46 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 256001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510250 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 275.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 728, 784, 840, 896, 952?\n\"Answer: 56*m + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o + 30 = 0. Suppose 2*q + o = 7*q. Suppose -3*a = -0*a. Solve q*v + 4 + 2 = a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + sqrt(11) + 1))**2 + (-1 + (sqrt(22)\/sqrt(2) + sqrt(11))*5)**2.\nAnswer: -20*sqrt(11) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**2 + 2*c**3 + 8*c**3 + 4*c**3 + 34*c**2 wrt c?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(2816))\/(sqrt(400) + -2*sqrt(400)*-3 + sqrt(400)).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(2448) + -4)**2.\nAnswer: -240*sqrt(17) + 4946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -490, -939, -1366, -1777, -2178, -2575, -2974, -3381?\n\"Answer: -g**3 + 17*g**2 - 493*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -12350*s + 21130857. Determine i(1711).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18944 + 18999 = 2*z + 10487. Calculate the smallest common multiple of z and 18.\nAnswer: 41184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824\/12*2\/2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 26, 67, 124?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397812002?\nAnswer: 2, 7, 17, 23, 72673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009523 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqccrjell. What is prob of picking 1 l and 1 r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**2. Let u(p) = 11*p + 23521 - 23521. Give n(u(f)).\nAnswer: -484*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -21, -12, 15, 66, 147?\n\"Answer: n**3 - 10*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - a. Let f be g(2). Let n = f - -7. Which is greater: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**3 - 12*v**2 - 4*v + 3. Determine x(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/8)\/(a*(a\/(a\/(a**(1\/5)*a)))\/a) assuming a is positive.\nAnswer: a**(-33\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.025057 decades?\nAnswer: 0.08025057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q + 2*q**2)*(3*q**2 + 4*q - 4*q) + q**4 + q**4 - q**4 + (q - 3*q + 4*q)*(-3*q**3 - 3*q**3 + 4*q**3) + 0*q**4 + 2*q**4 + 0*q**4.\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p - 227 = -u, 5*u + 233 = 4*p. Calculate the remainder when p is divided by (38\/(-9) - 6\/(-27)) + 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 23. Suppose -j + 2 - 1 = q, -3*j + 12 = 3*h. Solve 2*u + 1 = h*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 116*j - 8. Let t = -21 - -25. Let b be g(t). Suppose -720 = -5*p + 5*v, -3*p - 4*v + b = -v. What is p rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*j**2 + 6*j - 87*j**2 - 3*j - 24*j**2 to m*j + f + n*j**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2768 + -2763. Let c = -2.5 + 2. Sort c, -2\/3, -3, i in decreasing order.\nAnswer: i, c, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 34206 and -9.\nAnswer: 34197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(((-2)\/(-12))\/((-1)\/(-6))). What is the closest to -1 in -1.2, 4, v?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 9*f**2\/2 + 16*f - 1. Let a be 480\/288 - (-34)\/3. Is n(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*q + 0*q - 2*q)*(-2*q**3 + q**3 - 2*q**3) + 29*q**4 + 78*q - 78*q to the form s*q**3 + p*q**4 + y + u*q**2 + j*q and give p.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k = -2438 - 1282. Calculate the greatest common divisor of k and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*m = -5*h - 11, 2*h + 6 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*q + 2725 - 2644. Determine f, given that q*f - 1\/2*f**2 + 0 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.3 - -32.299998954. Round h to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orhr when four letters picked without replacement from {h: 2, e: 1, u: 2, y: 1, o: 2, r: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + n + 5. Let g be z(-3). Solve -2*k + t - 1 = 0, 5*t + 20 = -5*k - g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v - 96. Let w(u) be the second derivative of -u**4\/6 + 279*u - 2. Calculate w(x(l)).\nAnswer: -32*l**2 + 1536*l - 18432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 55. Suppose 3*q - 1 = 5. Let x = q + j. Is x > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*x**2 + 1608 - 1608 to y*x**2 + g*x + o and give y.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1740034304.5 and -12.65.\nAnswer: 1740034291.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-10)*(-45)\/6. Calculate the remainder when (1 + 106)\/(m\/12) is divided by 2 - (-15 + -39 + 20).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3\/11 - 73732*j**2\/11 + 6179376*j\/11 = 0.\nAnswer: 0, 84, 36782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 6390863?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-26 + (-29161)\/(-1122))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-276)\/28 - (-1)\/(-28)*4. Is (-37)\/(-1) - r\/(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**3 - 30*j**2 + 21*j - 36466 wrt j.\nAnswer: 3*j**2 - 60*j + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b - 3. Let s be j(2). Let m(a) = 0 - 2*a + a + 12 - 1. Let f be m(6). Solve -w - 3*w + 7 = -3*k, -f*k = -s*w + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158623 - 158623 - 17*i**3.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1797*-7\nAnswer: -12579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziiz when four letters picked without replacement from iozzi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -124.4084498.\nAnswer: -124.7084498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6099 rounded to two decimal places?\nAnswer: -1.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2. Let w(j) be the first derivative of -112*j**3\/3 + 203. Calculate w(n(f)).\nAnswer: -448*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 k, and 1 d when four letters picked without replacement from {d: 5, k: 2, n: 2, b: 2, p: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k**2 + 5. Let c = 155 - 159. Let i(g) = 8*g**2 - 2. What is c*o(u) - 10*i(u)?\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*g + 14, 0*w - w - 3 = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y + 44 = 28*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 0 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -47. Which is bigger: 0.057 or h?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.5 (b) -3 (c) -3\/4 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -9\/2*c**2 + 1\/20*c**5 + 5\/3*c**3 + 0 - 5\/6*c**4 - 7*c. Let q be k(9). Solve -y + 4 - 1 = q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffbffbbbbbbbffbfbff. What is prob of picking 3 b?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (98\/441)\/(8\/(-6))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 + -93. Let g(t) = t**2 + 7*t + 7. Let v be g(-6). Suppose -44 - v = -3*k. Calculate the remainder when h is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87397467, -87397465, -87397463?\nAnswer: -87397461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -0 - 2. Suppose 28 = -l*w + 4*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 1 + 20. Suppose 4*f = -5*j + 80, 2*f - 54 = -j + 2*j. Suppose -2*d = -4*z - 6*d + 568, -f = 5*d. Calculate the highest common factor of z and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6222610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3889676, -3889668, -3889654, -3889634, -3889608, -3889576, -3889538?\nAnswer: -3889494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 0. Let x = 11.3 - -1.7. Let f = x - 17. Which is the third smallest value? (a) f (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 14. Let i be y(-8). Let m be ((-6)\/10)\/((-2)\/i) + 20. Let p = m + 26. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Let u = 22 + -10. Let k = u - 11.9. Which is the nearest to -3? (a) -1\/2 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 44. Let f be p(18). Calculate the greatest common divisor of 15 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4133 + -4143. Is 18 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*z + 52 - 13, 3*x = 0. Suppose z*y - 21*y + 135544 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 22. Suppose 5*t - 3*i = 31, -4*t + 0*t = -p*i - 28. Suppose t*b + 13 = z - 5*z, 4*z = 4*b + 32. Sort -6, z, -1.\nAnswer: -6, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 6385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*z - 5, -z - 1 = q - 6. Solve -5 = -4*n - h, 0*n - q = -4*n + 3*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20728 divided by 7116.\nAnswer: 5182\/1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.54 times 7\nAnswer: -3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 334, 279, 226, 175, 126, 79?\n\"Answer: p**2 - 58*p + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61024186 - 57635.\nAnswer: -61081821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.045 + -0.665. Round p to one decimal place.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4692, 4689, 4686, 4683?\nAnswer: 4680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0 + 0*j**5 + 14*j + 0*j**4 + 0*j**2 + j**3 + 1\/21*j**7 + 0*j**6. What is the second derivative of s(o) wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1598091 is divided by 3015.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -7. Let b be 14\/6 + (h - 112\/(-24)). Solve 0 = -a - 2 + b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -38*b + 17. Let n be v(13). Let u = n + 673. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4164 + 26809. Let y(z) = 1 - 7 - 3*z - 10689*z**2 - 2*z - c*z**2. Let k be y(-6). What is k rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (1 - -3 - (28 - (-2 - 12))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*w**5 - 2*w**3 + 439*w**2 + 72686*w wrt w.\nAnswer: 1480*w**3 - 12*w + 878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2113 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (75 - (-43 + 59 - -13)) + 4 + 2\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180331, -360778, -541225, -721672?\nAnswer: -902119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1651206.\nAnswer: 1\/825603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t + 2. Let c be w(0). Let d be (2 + 1)*(-5)\/(-3). Suppose 0*j = -4*p + 3*j - 3, -2*p + j = -1. Solve c*l = -p*l - d for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 1, r: 2, c: 3, h: 7, i: 2}. Give prob of picking 1 i and 3 u.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265734, -1063071, -2391974, -4252443, -6644478, -9568079?\nAnswer: -13023246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101100 + -101101100?\nAnswer: -1100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.040771 to four dps.\nAnswer: -0.0408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2347532 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -176*j + 883. Calculate i(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 1.1955. What is d rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**6\/72 - 5*z**5\/12 - 19*z**3 + 2*z + 27. Let j(t) be the third derivative of g(t). Factor j(d).\nAnswer: -5*d*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -1487\nAnswer: 18\/1487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 518\/(-20)*(-1 + 1716\/42). Let h = -13949\/30 - w. Let m = h - 581. Calculate the common denominator of m and 21\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 - 2*m - 5. Suppose 4 = 2*o + 12. Give t(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 256\/(-504) + (-4)\/(-18). Let s = 2 - 2.2. Put s, -5, g in descending order.\nAnswer: s, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3565087 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-336)\/322)\/(-3))\/(-4)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 12322133001?\nAnswer: 12322132330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:27 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2.3, 3, 0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000357 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -317462066695 + -161?\nAnswer: -317462066856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/532 and 91\/2.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, 447, 110, 2 in descending order.\nAnswer: 447, 110, 4, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a*q**4 - 51254*a*q**3 - 2*a*q**2 - 12*a + 4*q**5 - 23*q**2 + 2407 wrt q?\nAnswer: -72*a*q - 307524*a + 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19809468617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*j - 265*j - 221*j + 6*j to y + c*j and give c.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.2 + 7.2. Let y = 0.3 - -2.7. What is the closest to -2\/3 in y, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-12)\/8) - -6. Let b(r) = 3*r**3 - r**2 - 6*r + 5. Is b(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Let h = -0.7 + 0.3. Put h, -4, s in descending order.\nAnswer: s, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74115\/(-122))\/(-135)*15\/72*-2.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 644.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.3297861 to 1 decimal place.\nAnswer: 8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + 74\/14. Let r(n) = 20*n - 5. Let c be r(1). Is c\/b*2\/2 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2. Let s(a) = 213641*a**2. Calculate s(x(m)).\nAnswer: 1922769*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.06 (c) -0.1 (d) 1 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.747576 rounded to three decimal places?\nAnswer: -4.748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = 15*t + 3. Solve -5*j = 3*s - 13, 9 = t*j + 2*s + s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(200) + -1*sqrt(200) + -4 - (sqrt(200) + -1*sqrt(200) + sqrt(200) + sqrt(200))*-6*-2)**2*-4*4*-2.\nAnswer: 69120*sqrt(2) + 4666112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 5*g**2\/2 - 22*g - 6. What are the prime factors of y(12)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 4*o**3 + 15 - 8*o**3.\nAnswer: 2*o**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0. Let n = -6.9 + 0.9. Let z = -6 - n. Sort f, z, -5\/2 in increasing order.\nAnswer: -5\/2, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126205566 - 4?\nAnswer: -126205572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y\/(y*y**(2\/9)*y))\/(y**0)**(-1\/18) assuming y is positive.\nAnswer: y**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(((m*m\/m**(-4)*m)\/m)\/m)\/m)\/(m*m\/m**(2\/3)*m))**(-8\/19) assuming m is positive.\nAnswer: m**(-64\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l**3 + 0 + 0*l - 4*l**2 - 1\/8*l**4. Let i(x) = x**2. Determine m(i(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20604 divided by 4\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:29 PM?\nAnswer: 368","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 14*w**2 - 2*w - 2. Let n(o) = 6*o**3 + 98*o**2 - 16*o - 16. What is -2*n(s) + 15*q(s)?\nAnswer: 3*s**3 + 14*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.552 or -0.101?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**3\/7 - 51*q**2\/7 + 93*q\/7 - 45\/7 = 0 for q.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1342 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55736 by 29.\nAnswer: 55736\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613 = 4*v + 93. Let j be (-1 + -1)\/((-10)\/v). Let t = j - 10. What is the least common multiple of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 180161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 4 - 4 + 0*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h + 1. Suppose -2*k + 5*k = 3. Let p(r) = -r**3 + 4*r**2 + r - 2. Calculate the remainder when t(k) is divided by p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23065150 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:06 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x - 8. Let n(h) = 3*h - 5. Determine 5*b(q) - 8*n(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = -6*l + 5*l, 4 = -h. Suppose 38 = -l*s + 19*s. Solve s*r = 3*f - 4, 0 = -2*r - 2*f + 3*f + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53564105 to the power of 1\/2, to the nearest integer?\nAnswer: 7319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*s + 2508 = 116*s. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 2:44 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.98 less than 798?\nAnswer: 796.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 6*z - 11. Let l be s(12). Let w = -58 + l. Let t(u) = -u + 4. Calculate t(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21393100 to the nearest 100000.\nAnswer: 21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/2*(2 - (-84)\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9421413 millilitres?\nAnswer: 0.0009421413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 57 = -3*f, 76 = 4*u - 0*u - 4*f. Let l(d) = -d**3 - 11*d**2 + 62*d + 27. Let k be l(-15). Sort u, k, -2 in ascending order.\nAnswer: k, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556*j - 1320 + 83 - 311 = 1232. Solve 116\/3*w - 8 - 73\/6*w**4 + 87\/2*w**3 + 7\/6*w**j - 379\/6*w**2 = 0 for w.\nAnswer: 3\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*c**3 + 240*c**2 - 240*c**2 + 79*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 918 - 491. Let o = b + -426.6. Let w = 177 - 1949\/11. Put o, 3, w in descending order.\nAnswer: 3, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12788210 to the nearest 100000.\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((-242)\/99)*(-1550)\/(-23715)?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 188*a\/5 - 187\/5.\nAnswer: -(a + 1)*(a + 187)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**3 - y**4 - 9*y + 7*y - 3*y**3 + y**3 - y**2 to the form z*y**4 + m*y**2 + l + h*y**3 + s*y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 71794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4898*k - 3 = -4899*k, -41*w + 6 = -44*w + 2*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 967*i**7\/210 - 779*i**4\/8 - 5698*i**2. Find the second derivative of q(p) wrt p.\nAnswer: 11604*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 108442525.\nAnswer: 108442525.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d. Suppose 5*x - 5 = 2*x - h, -x = -5*h - 7. Suppose 7*y - 21 = -7. Let i(a) = a - a + 5*a**y - 3*a**x. Determine f(i(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 3:57 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 138289, 553161, 1244641, 2212747, 3457497, 4978909, 6777001, 8851791?\n\"Answer: 3*l**3 + 138286*l**2 - 7*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2719072 and 80.\nAnswer: 13595360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(-4*s - s + 6*s) - 4*s + 3 - 3 - 3*s + 3 - 3.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17044*d**3*w**3 - 4332*d**2*w**3 + d*w**3 wrt d.\nAnswer: -102264*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s + 109*s + 237 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y - 6. Let z be m(2). Suppose -3*q + 37 = 5*b - 6*q, 3*b + 1 = -z*q. Suppose -2*k - 2*o + 0*o = -338, -4*k + b*o = -649. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - 0) + 1 + -3. Suppose 69*j = 64*j - 105. Sort p, j, 5, -4 in descending order.\nAnswer: 5, -4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 12*p**2 - 14*p - 9. Let j be u(10). What is the highest common divisor of 102 and j?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 207940 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/6 + 11*k**4\/3 + 59*k**3\/2 + 308*k**2\/3 + 392*k\/3.\nAnswer: k*(k + 4)**2*(k + 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 5. Let b(h) = 2 + 6*h - 3 + 0*h**2 + h**2. What is b(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 203*q**4*x**3 + x**3 + 131*x wrt q?\nAnswer: 812*q**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -17810069.732 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -20.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6439454 to the power of 1\/2, to the nearest integer?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.044\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g**2 - 6*g**2 + 5*g**2)*(-6*g**2 + 2*g**2 - 5*g**2).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/8)*z**(-1\/4))**(11\/4))**(-1\/2) assuming z is positive.\nAnswer: z**(-11\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 - 180*y**4 - 2784*y**3 - 13024*y**2 - 24768*y - 16704 = 0. What is y?\nAnswer: -6, -3, -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677?\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r**4 - r**4 + 2*r**4)*(-1 + 3 + 0) - 2*r**3 + 2*r**3 - 5*r**4 as w*r**2 + d*r**4 + l*r + h + b*r**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*p**2*y**2 + i**2*p**2 + 3*i**2*p*y + 77*i*p**3*y - i*p**3 + 10*p**3*y**2 - 6*p*y**2 wrt y?\nAnswer: -4*i**2*p**2 + 20*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -537, -523, -485, -411, -289?\n\"Answer: 2*i**3 - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -233099, -465976, -698853, -931730, -1164607, -1397484?\n\"Answer: -232877*p - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37593944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*k - 2*t, 2*k - 2*t - 19 = -23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-45)\/(-36))\/(-5))\/(3\/(-60)). Solve -8 = t + y, 0*t - 19 = -2*t + d*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1812970?\nAnswer: 2, 5, 181297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {h: 6, t: 2, l: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -649*h**3 + 22*h**2 + 5*h + 1997. Let t(k) = -130*k**3 + 4*k**2 + k + 399. Let s(w) = -2*g(w) + 11*t(w). Find the first derivative of s(b) wrt b.\nAnswer: -396*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (14\/5)\/((-12)\/(-30)) and 8 - (52\/(-39))\/(8\/(-18))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 6*b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38396665 to the nearest integer?\nAnswer: 6197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = -24*p + 254. What is the nearest to p in 0.2, -2\/7, 0, -34?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 3*g + 2*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-25))\/((-18)\/(-45)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 191, 2915, 4?\nAnswer: 2915","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 135*i - 132*i - 6927. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**7\/3780 - d**6\/1620 + 30*d**3 + 269*d. Let k(o) be the second derivative of j(o). Suppose k(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16083383*t**2 + 11478016 with respect to t.\nAnswer: 32166766*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 + (-5 - -7). Let z(d) = -7*d - 5. Let k(v) = -v - 1. Let w(q) = -6*k(q) + z(q). Let t be w(-1). Solve l*i = i + t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -583a341 + 3?\nAnswer: -583a33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1. Let l(u) = 6*u + 6. Give -6*i(m) + l(m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from dfffffddfddfdfdf.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 15*n + 10. Let x(f) = 44*f + 32. Give -4*x(j) + 11*z(j).\nAnswer: -11*j - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 170. Let c be t(-19). Calculate the highest common divisor of c and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -1.25389237934?\nAnswer: 0.75389237934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k - 3*k - 3*k)*(6 + 5 - 8)*(-2*k**3 + k**2 - k**2) to the form a*k**3 + v*k**2 + j*k**4 + d + f*k and give j.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1054614 or -1054599?\nAnswer: -1054599","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 31\/5, -3, 4, 5\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 18629680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 1, -0.1851, -219, -2, -1\/4, 3?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ee78 (base 15) to base 12.\nAnswer: 4a642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 + 13*b**2 + 10*b**2.\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/1078 - -6\/539. Let a = f - -89\/882. Put 5, a, -1\/5 in increasing order.\nAnswer: -1\/5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 246 + -225. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.872 - -11.38. What is r rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 22*y + 4. Let z be i(-4). What is the units digit of 2*(1 + z\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 48*x**2 - 28*x + 20. Let b(g) = -4*g**3 - 97*g**2 + 54*g - 40. Let j(i) = 3*b(i) + 5*r(i). List the prime factors of j(-27).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p - 27. What is l(-32)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (80*a + 71*a - 88*a**3 - 160*a)*(-4 + 4 - 7*a)*(0 - 2 + 0) to z + q*a**3 + r*a + f*a**4 + d*a**2 and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n = 9*n + 160 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65841 (base 10) in base 12?\nAnswer: 32129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 625584?\nAnswer: 3127920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 127528.\nAnswer: -3\/127528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2512\/204997 or 1?\nAnswer: -2512\/204997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - ((-2)\/(-7))\/((-14)\/(-294)). Suppose 5*p + 2*w = 48, 0*p - 5*p = -4*w - 24. Suppose 2*h - 3*h = 0. Solve -p = m*u - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*f**3 - 797652*f**2 - 227900*f.\nAnswer: -f*(f + 113950)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 5*r - 24, -5*f - 42951*r + 42947*r - 25 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*s**3*w - 749*s**3 + 25*s**2*w + s**2 - 470*s*w + 16*s - 2*w + 1 wrt s?\nAnswer: -24*s*w - 4494*s + 50*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 4*z**6\/3 + z**4\/24 - 83*z**3\/3 - 93*z**2. Find the second derivative of g(m) wrt m.\nAnswer: 960*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 - 8*j - 128.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 3, -20, -53, -96?\n\"Answer: -5*r**2 + 2*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 16\/55 (c) -3757\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9245968 divided by 4.\nAnswer: 2311492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148103 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from rrrrhhrrrhhrhhrrrhr.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -770171.1?\nAnswer: 770170.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, z: 2, t: 3, p: 4, e: 1}. Give prob of picking 1 e and 1 u.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7) - sqrt(175)*2))**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.4 - 24. Let w(o) = -o**3 - 6*o**2 + 19*o - 7. Let j be w(2). Which is the smallest value? (a) x (b) -1\/8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 + 3)) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3300230?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**5 - 2*t**4 - 6153*t**3 - 18*t**2 - 520*t + 4?\nAnswer: -180*t**2 - 48*t - 36918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 13*q**4\/2 - 7*q - 51. Let o(v) = -5*v. Calculate o(n(f)).\nAnswer: -390*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -516545, -1033087, -1549629, -2066171, -2582713?\n\"Answer: -516542*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 25 = -5*a, 10696*k - 10694*k + 5*a - 60 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)*v*v\/((v**(-3\/4)\/v)\/v))**(-25\/6)\/((v**(6\/11)*v\/(v**(-1\/7)*v))\/(v*v\/(v**(-1)\/v)*v**(2\/5))) assuming v is positive.\nAnswer: v**(-14963\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*n + 421*n + 23*u - 680 = 0, -2*u = n - 36 - 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.24 (b) 2\/5 (c) 1\/28 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, and 1 s when three letters picked without replacement from {s: 1, n: 1, m: 3, c: 1, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - -1002033331?\nAnswer: 1002100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -60445 divided by -12089\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 0.1 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + (sqrt(200) + sqrt(200) + 5 + 2*sqrt(200) - (4 + -1*sqrt(200) + sqrt(200))) + -1 + -2*-1*sqrt(200)*-5)**2.\nAnswer: -480*sqrt(2) + 7216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -23*a + 364. Calculate the greatest common divisor of a and 650.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 8347750.\nAnswer: 8347750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*q**5 - 24*q**5 + 30*q**5)*(1 + 0 + 2) + (-6*q**2 + 0*q**2 + q**2)*(-2*q**3 + q**2 - q**2).\nAnswer: 106*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 224*m**2 + 1375*m - 1150.\nAnswer: -(m - 5)*(m - 1)*(m + 230)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23424 is divided by 803.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*z + 33 - 36, 0 = -d - z - 1. Let v = -7\/30 - 1\/60. Is v bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41365 - 41361. Let x = 0.02 - 2.02. What is the closest to x in 2, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17157 at most as big as 17165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 0.06, 1\/6, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 13. Calculate the least common multiple of ((5 - 4) + 7)\/2 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4320263 - -6?\nAnswer: -4320257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2235)\/21)\/(-5) + 2\/(-7). Suppose 0 = 2*z + 5*u - 47, 0 = -3*z + 3*u + 81 + t. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {t: 2, n: 2, r: 2, i: 1, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 16.2?\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -301, 68, -0.64, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3059875 divided by -17485\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 + -7.6. Let v = 0.03 + -0.63. Let h = f + v. Round h to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11243 (base 10) to base 14\nAnswer: -4151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1962 divide 901377511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-16)\/(((-6)\/(-3))\/(-2))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -69*o + 30. What is y(2)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**6\/90 - 2*q**5\/15 + 2*q**4\/3 - q**3\/6 - 10*q. Let u(d) be the second derivative of k(d). Factor u(r).\nAnswer: 4*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 251299652 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r**5\/5 + 128*r**4\/5 - 212*r**3\/5 - 464*r**2\/5 + 944*r\/5 - 384\/5 = 0. What is r?\nAnswer: -2, 2\/3, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32386\/525 - -4648\/75. Factor -16\/7 - p*x**2 - 12\/7*x.\nAnswer: -2*(x + 2)*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 29 + 0)*(581 - 581 + 45*m)*(15 + 6*m - 15) - 2*m**2 - 3*m**2 + 4*m**2.\nAnswer: -7561*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 5 = 3*f + 8, -f - 2*j - 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61429.54 micrograms in nanograms?\nAnswer: 61429540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2093 (b) 2.9 (c) -5 (d) 2 (e) -0.5 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**2\/8 + 31201371*y\/8 + 31201395 = 0?\nAnswer: -8, 10400465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**4 - 2*h**4 + h**4)*(-18 + 44 + 12) - 5 + 5 + 3*h**4 + (-1 + 2 - 2)*(3*h**4 + 0*h**4 - 5*h**4) + 3*h**4 + 3*h**4 - 4*h**4.\nAnswer: -221*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49195990*l**2 + 415003219.\nAnswer: -98391980*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/1495)\/((-18)\/(-1190)) - 3.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*x - 4, -4*x + 3*o = -2 - 22. Let y = -1 + x. Suppose -5*a + 3*s + 36 = 0, 3*a + y*a - 2*s = 34. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8087920 and 618488.\nAnswer: 105142960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82340.93 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 143*u**2 - 109 + 166 - 57 as g*u**3 + c*u + n*u**2 + q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*(3 + ((sqrt(1900) - sqrt(1900)*-1)*5 + sqrt(1900) - sqrt(1900)*-2*-2))*5 + 0)**2.\nAnswer: 154000*sqrt(19) + 37243025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x - 13. Let g be k(-6). Suppose -g*z + 173 = -67. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -221676*o - 122. Let l(s) = -2*s**2. What is i(l(w))?\nAnswer: 443352*w**2 - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 111000101?\nAnswer: -111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -33*(-21)\/90 + 30\/(-25). Which is greater: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 8*a + 2. Let h be w(4). Find s, given that -17*s**2 - h*s**4 - s**2 - 15*s**3 + 27*s**3 + 8*s = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, 22, 65, 136, 241, 386, 577, 820?\n\"Answer: p**3 + 5*p**2 - p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by -22?\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 1 - 9. Let o be 1*(-2)\/4*c. Solve 0 = -o*x + 3*v + 18, 4*x - x + 3*v = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 403*s + 35 - 46*s**3 + 46 - 403*s + (3 - 1 + 0)*(s**3 + 2*s**3 - 2*s**3).\nAnswer: -44*s**3 + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b2c4 (base 13) in base 15?\nAnswer: 10b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2139 - 883 = -380*m - 4554 - 7968 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 280*l**3\/3 - 89*l**2\/2 - 3*l + 17. Is c(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 31030583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5585933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-3)*(18\/280)\/((-4530)\/(-5285)).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 + 2021950*a + 4043920 = 0 for a.\nAnswer: -2, 404392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 30 = -6. Suppose 0 = -w*z + 58 + 16. Calculate the remainder when 127 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.4. Let o be (((-80)\/35)\/(-4))\/(25 - 26). What is the fourth biggest value in 20, o, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*u + 8, 2*k + 2*u - 3 = 11. Suppose -s = s - k. Is (4 + -5)\/(s\/(-45)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5879607 is divided by 839940?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (10 + 7 + -9)) + 9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11444 divided by -4?\nAnswer: -2861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 0. Suppose -64 = -29*s + h*s. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.48266, -0.5, -1, 1\/6 in decreasing order.\nAnswer: 1\/6, -0.48266, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(37 + 14*a - 37)*(3*a**2 - a**2 - a**2).\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -156, -6, 4, 6, 2, -7 in decreasing order.\nAnswer: 6, 4, 2, -5, -6, -7, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 20*x = -55, 10*u - 5*u = 4*x + 42 - 33 - 46 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 5:56 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3478 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 34*x + 402 - 114 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1377 and 952425.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8064*v - 2231 = -7967*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/282*(-77)\/(-7) - (-184)\/(-161)*-7\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 205.59 in 0.07, -3\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*g + 8712, 1 = -7*g + 6*g. What are the prime factors of f?\nAnswer: 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3*3 - -2. Suppose 0 = -3*n + n. Let x be -1 + t - (n + 0). Solve -2 - x = -5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b + 0)*(-2*b**3 - 1 + 1) - 4*b**4 + 3*b**4 + 0*b**4 - 1 + 1 - b**4 - 2*b**4 + 2*b**4 - b**4.\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 - a**4 + a**4)*((3 - 3 - 2)*(7 - 4 - 1) + 2 + 0 - 1 + 8 + 1 - 5).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/9))**24)**(1\/10) assuming d is positive.\nAnswer: d**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/16*(-64)\/12. Solve 5*a = -t*u - 12, 6*u - 2*u + a = -12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 7 - 6*d**3 + 6 - 13.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 4) to base 2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194688 and 4225?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 25 = 2*k. Suppose 4*g = 2*b, 0*g + g + k*b = 22. Find the third derivative of 2*w**g + 3*w - 3*w - 2*w**6 - 3*w**2 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15378, 15380, 15382?\nAnswer: 15384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 518153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3138.\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 409a05546 + -1?\nAnswer: 409a05545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**3\/3 + 4*t**2 - 16*t + 9. Let v be p(4). Suppose -33 = -5*g + 5*h + 12, g + 3*h - 29 = v. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let n = 49 - 48. What is the closest to -0.09 in -3\/2, 5\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211410 + -32223?\nAnswer: 124132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 648943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 43*l**5\/30 - 49*l**4\/24 + 24*l**2 - 24. Let f(d) be the second derivative of x(d). Find the second derivative of f(i) wrt i.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 3*t**2 + 3*t - 3. Let m be j(2). Let o(h) = 21*h**3 - 673*h**2 + 33*h - 28. Let d be o(32). Which is the nearest to m? (a) -9 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 3. Let n be y(0). Is -13\/8 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (sqrt(2) - (-1 + sqrt(2))) + (sqrt(14)\/sqrt(7)*-3)**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4458.79 centuries in months?\nAnswer: 5350548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(65)*-1 + sqrt(65))*4 + -1*(sqrt(65) + (sqrt(65) - sqrt(65)*-1) - sqrt(65)))\/(-4*sqrt(5)*1 - sqrt(40)\/sqrt(2)) + 5.\nAnswer: sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 37. Suppose -l = u - 72, h*l + 2*u - 264 = 4*u. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16748 and 4.\nAnswer: 66992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 4:36 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/52959 or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, p: 3, f: 1, m: 3, y: 1}. Give prob of sequence femm.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105860?\nAnswer: 2, 3, 5, 7, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/329 and -153\/1610?\nAnswer: 75670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 140*t**3 - 2*t**2 + 4*t - 11. Is o(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yjj when three letters picked without replacement from jjjjjjjjjjjjyjjjjj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 12470*t**2 - 24955*t - 12480.\nAnswer: 5*(t - 2496)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 63*a + 27. Give j(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-9)\/126*1\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -211.\nAnswer: 1\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + 15\/6. Let l = -288 + 302. Calculate the highest common divisor of l and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - a - 59 = 0, -265 = -5*f - 0*a - a. Let v = -51 + f. What is the derivative of -28*r**v + 35 - 3 - 11 wrt r?\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-3\/5))*k\/(k\/(k*(((k\/(k**(-3)*k))\/k*k)\/k)\/k)))\/(k**(-4)*k**(-8)) assuming k is positive.\nAnswer: k**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -2)\/((-12)\/(-8)). Let p = -93.83 + 93.53. Which is the third smallest value? (a) -3\/2 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 35 = -144*g - 36. Suppose 2*t = -0 - 16. Which is the closest to g? (a) t (b) 0.3 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deywv. What is prob of sequence wv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 + 23*z)*(2*z - 2*z - 2*z).\nAnswer: -46*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + 28)*((-5)\/(-2) + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/(u**(-1\/3)*u))**(-14)\/(u\/u**(1\/4))**(-13\/6))\/(((u**(-2)*u)\/(u\/u**3))\/(u**(-3\/5)*u*(((u\/(u\/u**(-1\/16)*u)*u)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-8329\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 2427*v**3 + 2007390*v**2 - 599760100*v + 28103223000 = 0. What is v?\nAnswer: 57, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 - 8*q**2 - q**2 - 3 - 9*q + 5*q**2. Determine s(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/1104, 0.5, 0.3, 370 in increasing order.\nAnswer: -1\/1104, 0.3, 0.5, 370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 36*c. Let z(q) = 15*q**2. Calculate o(z(x)).\nAnswer: 540*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 78*z**2 - 1042*z + 30450. Calculate a(86).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45971 is divided by 413?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-2)\/11 + 1170\/22 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 7*p = -2*p + 40, -2*f + 3*p = -9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -116, -89, -48, 7, 76, 159, 256?\n\"Answer: 7*j**2 + 6*j - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5400 = 2318407*j - 2318207*j for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 843526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 + 4)\/((-24)\/1048). Suppose -130*p - 46 = -c*p. What is the highest common divisor of 368 and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2)*(-4*y - y - 12*y) + 84*y + 30 + 119*y - 179*y to the form r + z*y and give z.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**3 + 43*t**2 - 43*t**2.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6574 - -10682. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19082*i**5 - 44*i + 37?\nAnswer: -381640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/60 + 233*b**4\/12 + 54289*b**3\/6 - b**2 - 27*b. Factor w(s).\nAnswer: (s + 233)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a + 3*a + 0*a)*(-12 - 6 - 30 + (2 - 3 + 2)*(4 - 2 - 4)) to n*a + s and give n.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1543054.95 rounded to the nearest 10000?\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2781 + 3?\nAnswer: -2777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3649 - -96?\nAnswer: -3553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 3.9. Let r(p) = -p**3 - 11*p**2 - 10*p + 4. Let q be r(-10). Suppose -q*i + 8 = -2*i - 4*u, 4*i - 16 = -2*u. Sort -5, i, o.\nAnswer: -5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10670053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 3. Let k(p) = -p - 9. Let x be k(-9). Let a be q(x). Let g be (-1 - (-6 + 2)) + -2. Is a != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*f = -19, -3*l = 3*f + f + 63. Let t = -203 + l. Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -9299*o**2. Let x(h) = -51*h**2 - 24. Calculate x(z(u)).\nAnswer: -4410041451*u**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-3\/7)))**20 assuming o is positive.\nAnswer: o**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*l + 97*l + 98 + 56*l - 2*l**2.\nAnswer: -2*(l - 49)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in seconds?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 6048.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4 + 6. Let x(j) = 149*j**2 + 3*j + 2. Is 37 a factor of x(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 76. Which is the nearest to -1? (a) 13 (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -35*m + 43 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -2. Calculate the common denominator of 91\/12 and 17\/(-3)*7\/j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13556 - -19837. Which is smaller: 6283 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578 divided by 2.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -2. Suppose -2*v - v + 24 = 0. Let w(j) = -j + 19. Calculate the lowest common multiple of s and w(v).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(5 + -3) + 0. Let s be 2*i\/(-3)*3. Suppose j - 3*o + 5 = 27, -84 = -5*j + s*o. What is the highest common divisor of j and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - m = 576, 5*q - 4*m + m = 1439. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 - 5*m + 2. Let i be y(-5). Let h = i - -21. Let g = h + -22. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 6, e: 4, a: 6}. Give prob of sequence ag.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**3 - 3*y**2 - 8*y + 15*y**2 + 2*y**3.\nAnswer: -4*y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01270637 - -3486977.01270637. Let t = 3486971.000018 - z. Let n = t + 6. Round n to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z + 3. Let f = -21 - -21. Let m be x(f). Solve -a = m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Let j(p) = -p**2 + 5*p - 1. Let b be j(2). Calculate the least common multiple of (2\/b)\/(1\/30) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -1381?\nAnswer: 1381.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(351)\/sqrt(3) - -5*2*-2*sqrt(208))**2.\nAnswer: 254800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10320, 10300, 10292, 10302, 10336, 10400?\n\"Answer: d**3 - 27*d + 10346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-18)*3\/6. Let q be (-2)\/4*8\/3. Which is the second biggest value? (a) r (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/56)\/((-1)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 123.2, -2, -52 in ascending order.\nAnswer: -52, -2, 1\/2, 123.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 10*m**2 - m + 10. Calculate p(7).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000173435066 to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u**3 + 7*u**2 - 10*u + 16. Let w(y) = -4*y**3 - 4*y**2 + 4*y - 7. Give -2*v(k) - 5*w(k).\nAnswer: 2*k**3 + 6*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -437121602 by -218560801.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*m - 2*r + 570, -189 = -m - 2*r. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44543, -44502, -44443, -44366, -44271, -44158, -44027?\nAnswer: -43878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-36)\/384). Let j = w + -11. Suppose 2*f - 18 = -4*v, j*v + 12 = -8. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -189254.3 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 14, o: 1}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33701855.\nAnswer: 5, 11, 317, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/11 - 33358*w**4 - 16832088038*w**3\/11 - 13768306082*w**2 + 353400465680*w\/11 - 16828785800 = 0.\nAnswer: -91730, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420.27 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178\/9 + 8603\/450. Calculate the common denominator of 113\/100 and a.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*c + 3124 + 4156 = -363*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343*y - 342*y = -4. Let s = 9 - y. Let f(q) = q + 11. What is the remainder when s is divided by f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + b + 959 + 951 - 1910 - b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.005. What is p rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0459 + -0.1459. Which is the second biggest value? (a) -5\/3 (b) 14 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -76 (b) 0 (c) 393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2. Let p(a) = -28847*a. Determine t(p(m)).\nAnswer: -2496448227*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-1))\/((-4)\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**5\/7 - 72*j**4\/7 + 26*j**3 + 1068*j**2\/7 - 2736*j\/7 = 0 for j.\nAnswer: -38, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -231600 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvlvinzzsvvliszl. What is prob of picking 2 z?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/7)\/f*f*f\/f**(-2\/19)*((f*f**(-4\/7)*f)\/f*f)\/(f*f**6)*((f*f**(1\/4))**(1\/57))**(-25) assuming f is positive.\nAnswer: f**(-8231\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + 0.2. Let a = 10624.1 + -10624. What is the fourth smallest value in a, 4, x, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 575202?\nAnswer: -172560.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -248482 and -0.3.\nAnswer: 74544.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-14096\nAnswer: -4228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*a + 683 = 0, 4*q = 11*a - 12*a + 2743. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwggngnwkwncwh. What is prob of picking 2 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 8. Suppose -3*f - 3*a - 8 = 2*f, f + o*a - 16 = 0. Let j = -26.2 - -26. Sort 2\/19, j, f.\nAnswer: f, j, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 16615393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - -0.098. Let w = 0.108 - v. Which is the nearest to w? (a) 2 (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -490*h + 490*h - 23*h**2 + (4*h - 4*h + 2*h)*(3*h - h + 0*h) + 3*h**2 - 3*h**2 + 2*h**2 to the form v*h + f + a*h**2 and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 304331 + 246577 = 0. Let h(c) = -2450182*c + 2. Let w be h(5). Let f = w - g. Round f to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23505*w + 23366*w = -15985 for w.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(931) + sqrt(931)*2 + 2)**2 - sqrt(931) - (-3*(1*sqrt(931) - sqrt(931)) - sqrt(931))**2 - (6*(sqrt(931) + 3*sqrt(931) + sqrt(931))**2 + 4)).\nAnswer: -154*sqrt(19) + 264404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, 2\/15, -1\/4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) - -1*sqrt(153)*-6) + sqrt(153) + 3*-2*sqrt(153))*5)\/(-1*(-4*(sqrt(9) - sqrt(27)\/sqrt(3)) + (sqrt(126)\/sqrt(2) + sqrt(63))\/sqrt(7))).\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**3*x**3 - 31*c**3*x + 5548*c**3 - 2*c**2*x**3 + 8943*c**2*x**2 - 53 wrt c?\nAnswer: 18*x**3 - 186*x + 33288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - 6\/(-12)*2 - -29. What is the highest common factor of r and 575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49721*s**3 - s**2 - 4*s + 63 wrt s.\nAnswer: 298326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07941 rounded to 3 dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*q = 0. Let u = 60\/23 - 974\/391. Is u not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13912 and 19129.\nAnswer: 153032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 0 + (-62 - -115) + -42.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usunnnuunnunun. Give prob of sequence nsnu.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 13*o + 2*z = 14, 17 = o + z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 173*u - 3*u**2 - 3*u**3 - 173*u + u**4 as x*u + y + o*u**2 + h*u**4 + c*u**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5784, 5747, 5686, 5589, 5444, 5239, 4962?\n\"Answer: -2*d**3 - 23*d + 5809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-1400))\/((-54)\/(-432))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128827?\nAnswer: 47, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 318, 236, 0, -3 in descending order.\nAnswer: 318, 236, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -521906*i**3 - 48*i**2*w - 2*i*w - 10977*w - 224 wrt i.\nAnswer: -3131436*i - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -39. Let f(t) = -21*t**2 - 11 - 15*t - 3*t**2 + 23*t**2. Is 11 a factor of f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.270233ms?\nAnswer: 5270.233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2233149, 2233147, 2233145, 2233143, 2233141?\n\"Answer: -2*o + 2233151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 0, 4, 1188, 3 in descending order.\nAnswer: 1188, 38, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -871 - -605. Let r = g - -443. List the prime factors of r.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - (-3*(sqrt(33) - sqrt(99)\/sqrt(3)) + sqrt(33)))\/(sqrt(243)*2 + sqrt(243) - sqrt(3))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.5966m to kilometers.\nAnswer: 0.0265966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 6 = -16*j. What is the smallest value in 6\/13, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83284592 by -8264.\nAnswer: -10078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -41. Let g be 5\/2 - -1 - c\/2. Is (-59)\/1*(g + (-16)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1362 - 1346 + o**4 + 2708 - 944*o + (5*o**2 + 2*o**2 - 2*o**2)*(-o**2 + 0 + 0).\nAnswer: -4*o**4 - 944*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(24\/80*15*(-108)\/(-81))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19997 is divided by 4994?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -465\nAnswer: -8\/465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 14*y + 10 = 0. Let i = 140 - 134. Find the second derivative of 76*g + 32*g**y - i*g**5 - 94*g wrt g.\nAnswer: 520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125.96319193 - 0.03892807. Let w = m - -126. What is w rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 697088910.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1b5035 (base 12) to base 14\nAnswer: -c8d85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/10 and 57\/274.\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23107 and 31696202.\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 11. Let g(r) = -2*r**2 - 13*r + 7. Let l be g(-6). Determine k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67581.72 millennia in decades?\nAnswer: 6758172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5261.\nAnswer: 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 29 + 8 = -3*g, -15 = -3*p. Let h(f) be the second derivative of -1\/12*f**4 - f**2 + g*f + 0 + 0*f**3. What is the first derivative of h(s) wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bubbuuubuxb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g - 27. Let n(x) be the second derivative of x**3\/6 - x**2\/2 - 124*x - 11. Calculate m(d) - 6*n(d).\nAnswer: 2*d - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*y - 16, -27 = -2*c - y - 4. Calculate the remainder when c is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 - -251. What is the highest common divisor of t and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n - 3. Let v be q(5). Let b = -9 + 4. Is v\/b + (-24)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 425438 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/6 - 1736\/336.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4552*p**3 - 15354*p**3 + 876544*p**2 - 876544*p**2.\nAnswer: -10802*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1210 and 198.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 11) to base 4.\nAnswer: -3302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10))\/((-6)\/24)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968487895 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4608*p**2 - 61*p**5 - 13870*p**4 + 3330*p**2 + 3*p**3 + 156*p**5 + 13864*p**4 wrt p.\nAnswer: 5700*p**2 - 144*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:06 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-312)\/1404)\/(-2 + (-3415)\/(-1704)) - 4\/(-42)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*k - 8234, -31*k = -32*k + 3. Suppose 680*n = 681*n - a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1657 = 8*x - 79. Solve 209 - x = 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81380729\/245 - 332165. Let y = x - 2\/49. Let z = -0.1 + 0. What is the closest to z in 1\/9, y, 2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/10 of a kilogram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 155 - 3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c - 2*h = -0*c - 9, 308*c - 304*c + 24 = -3*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = p. Let r = 196 + -178. Calculate the smallest common multiple of r and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0188751696 to 4 decimal places.\nAnswer: -0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = 3*t. Let u(s) = -6*s**2 + 12. Let k be u(-3). Which is the closest to 1? (a) -2 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 0*g + 8 - 8*g + 0. Let i(z) = 7*z - 7. Let b(r) = 7*i(r) + 6*j(r). Let y(p) = 2*p - 2. What is -9*b(q) + 4*y(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 39*r**2 + 10262*r + 10264. Give w(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Suppose l = 3*z - 0*z - 12. Differentiate 0*h**z + h**4 - 3 + 1 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11323133 (base 4) to base 9\nAnswer: 36275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*c + c = -1193, 0 = 2*c - 8. What is the greatest common factor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 6*a**2 - 4*a - 1. What is l(-4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-12) + (-34)\/6. Let n = x + 8. Let h(j) = 2*j - 4. Calculate the least common multiple of h(n) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**5\/20 - j**4\/12 - j**3 - 9*j**2. Let h be m(-7). What is the greatest common factor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1987)\/19870)\/(((-7)\/(-370))\/(-7))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -301963 + -4?\nAnswer: -301967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 6:07 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhxayxaxayayya. What is prob of picking 1 x, 2 y, and 1 h?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 13696 = 4*b, 5*t + 4*b - 13672 = 6*b. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1791549 + -1791623.9307. Let y = b - -74.9. Round y to three dps.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/((-2)\/8). Suppose -7*f + l*f + 16 = 0. Suppose -16 = f*u, 3*u - 7*u = 2*g + 56. Find the common denominator of -38\/5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = 19*j - 175. Let l(u) = -6*u + u - u - u**3 - 4 + 0*u - 5*u**2. What is l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/42)\/(83\/((-9296)\/384))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*i**2 + 268*g**3*i - 169*g**3 - g**2 - 175*g*i**2 - 119*g*i wrt g.\nAnswer: 6*i**2 + 1608*i - 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 325 = 15*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2.1. Let f = -1.4 + 1.3. Let t be -6*(24\/(-9) + 2). What is the nearest to f in t, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/7 and 67\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sbssbs?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from iiuggggkiui.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -779003 + 779002. Let b(m) = 3 + 10*m**2 - 4 + m**2 - m. Give b(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y - 1. Calculate b(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (8 + (-17 + 15 - 12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 + 339 = -31*g - 196 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 21462411.66 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Suppose m = i - 3*i + 4. Solve 8 = 2*g - x + 21, 0 = -i*g - x - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476262 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4215*o + 30. Let k(q) = 1405*q - 9. Give 10*k(f) + 3*r(f).\nAnswer: 1405*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 8. Let l = d + 42. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 5*q**8\/56 - q**7\/21 - q**4\/12 + q**2\/2 - 49*q. Find the third derivative of p(g) wrt g.\nAnswer: 600*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 6. Let j = 0 - 0.01. Let n = -1.01 - j. Is v bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 25*h**2 - 199*h + 795. What is the lowest common multiple of 21 and c(4)?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5 - 5692*m**4 + 2616712*m**3 - 346343360*m**2 - 19716418048*m + 106917130240 = 0?\nAnswer: -46, 5, 488","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 18*y = -69. List the prime factors of y.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 + -84. Let p be (t + -4)\/((15\/(-6))\/5). Let n be 8\/32 - (-7)\/4. Sort p, 4, 3, n in increasing order.\nAnswer: p, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*g = 2 - 24, -5*s + 58 = -g. What is the greatest common divisor of s and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 363*f**2 - 2179*f + 3. Let n be t(6). Is n at least 515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(605) + (sqrt(605) - -2*sqrt(605)))*-3*4.\nAnswer: -528*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 594 and 176094.\nAnswer: 1937034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316788550 a multiple of 1829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13945 + 15811 + 16552 = -569*j + 115*j for j.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 0, -2*q + 7 + 4 = r. Suppose -f + 5 = 0, -5*v - f + q*f + 5 = 0. Suppose 166 + 155 = v*g. Round g to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3077958 and 1973050?\nAnswer: 76948950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - f - 2*f)*(2 - 2 + 3) - 14*f + 8*f + f as d + q*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13527 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 20\/47?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 35 = -27. Let l be -1 + (y - (-3)\/((-6)\/(-2))). Suppose -16 = -l*z - 3*a, 6*a = 4*z + 4*a. Is z > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*r = 438*r + 88581. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 957 + -1308. Which is the second smallest value? (a) x (b) -4\/7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 6. Let u be j(-10). Let g be 1\/4 - 7\/u. Solve 3*p + b + 3 = 0, 0*p + b - 7 = g*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1308 + -2?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 162*n - 1603. What is k(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/((-12)\/18). Find the second derivative of -a + 1 - 7*c**5 + c - 3*c wrt c.\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 10 - 50. Calculate the greatest common divisor of 4 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**11)\/(l*l\/(l*l**(-4\/5)\/l)))\/(l**(2\/31)*(l\/(l*(((l**(2\/13)\/l*l)\/l)\/l)\/l))\/l*l) assuming l is positive.\nAnswer: l**(12673\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 18, -1\/5, -635, -1\/4, 2\/13?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-11 - (23 + -28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17628, 16254, 14894, 13554, 12240, 10958, 9714?\nAnswer: 8514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*t + 4*c = -199*t + 15, 0 = 3*t - 3*c + 27. Suppose -j - 604 = 4*f, j + 564 = -3*f + 112. Sort t, f, -5.\nAnswer: f, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1)*2\/(-27).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 + -45. What is the highest common divisor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b - 1 - b + 0 + (-2*b + 5 - 5)*(38 + 33 + 80) in the form f + j*b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -124*i - 3. Let q(z) = 1112*z + 28. Calculate -28*p(u) - 3*q(u).\nAnswer: 136*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, t: 10, e: 1, u: 3}. What is prob of picking 1 m and 3 t?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 207.1563 * -15.2\nAnswer: -3148.77576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/32*288\/180. Let r = 21.008 + -0.008. Which is smaller: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.331276 decades?\nAnswer: 1119.75312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36565279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u + 1. Let v be r(2). Let o be ((-3)\/v)\/((-1)\/(-57)). Let t = o + -8. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbb when three letters picked without replacement from bbpbbpbp?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 8. Suppose -76*x = -14*x + 186. Which is the closest to -1? (a) j (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.44999675 and 76.74.\nAnswer: 73.29000325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19621085 to 3 decimal places.\nAnswer: 0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u**3 + 4*u**2 + 179*u - 123889?\nAnswer: 3*u**2 + 8*u + 179","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-210231)\/(-105) - 18\/15. Suppose 0 = -5*j + 3*n + f, 0 = -3*j - 2*n + n + 1195. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 2*v, -w = -2*w + v - 6. Let l be 17\/30 - (-2)\/w. Let t be ((-75)\/(-10))\/3*2\/5. Sort t, l, 0.1 in descending order.\nAnswer: t, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a**2 + 17*a**2 - 10*a**2 + 2*a - 3*a in the form r*a + i*a**2 + q and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 9*c)*(c**2 + 2*c - 2*c)*(-71*c + 37*c + 30*c).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 6825?\nAnswer: 6816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**3 - 7*k**3 + 2*k**3 + 2*k**3 - 2 + 2 - 2*k**3 - k**3 + k**3 + (2*k**3 + 5*k**2 - 5*k**2)*(1 + 4 - 3) - 5*k**3 + 5*k**3 + k**3.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 2*z - 9 = 6, -4*z = -5*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10458)\/168 - -63) + (5 - 0 - 1325\/220).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*b - 3*i = -252*b - 327, -3*b - 2*i + 478 = 0. What is the biggest value in 5\/3, 1, -0.2, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74607789 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376, 372, 368, 364, 360?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 7.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 3596*x + 1495681. Give u(-480).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j + 9. Let r be i(-6). Let l = r + -54. Is 0 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + (15 - 14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275612 is divided by 2876.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*l - 109*l + 15 = 0, 3*q - 5*l = -3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = -2*v + 2*k + 111, 1435 = 5*v + k. What are the prime factors of v?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -445*v**3 + 3*v**2 + 94*v - 8. Let s(y) = -3115*y**3 + 20*y**2 + 657*y - 60. Let w(p) = 15*k(p) - 2*s(p). What is the third derivative of w(d) wrt d?\nAnswer: -2670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018186006 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3743.013 milliseconds?\nAnswer: 0.06238355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1149647 and 72229546.\nAnswer: 2094656834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/(-6) - 10\/15. Suppose -3*x = -4*x + p. Let s(v) = v**2 + 20*v + 86. Calculate the smallest common multiple of x and s(-16).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-35))\/(90\/500*-5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6814 + 2.69\nAnswer: 6816.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104840?\nAnswer: 2, 5, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i**2 + 8*i. Let l(o) = -2*o**3 + 2*o**2 - 23*o. What is -8*h(r) - 3*l(r)?\nAnswer: -2*r**3 + 2*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 60 = 75 + 80. Solve 0 = -2*y + m*f + 11, -3*f = -y - 0 + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 165\/(-6)*12\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 4. Let j(y) = -2*y**2 - 27*y - 86. Let b be j(-8). Give d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-735)*((-32)\/(-192) - (-2 - -1))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42706394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387865.\nAnswer: 3, 5, 159191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cum when three letters picked without replacement from uucuuymummccucmcyc.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195020 and 1560160.\nAnswer: 1560160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -910, -7180, -24192, -57316, -111922?\nAnswer: -193380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.97 - -0.03. Let x = -3 + h. Let d = -1.07 + 0.07. What is the smallest value in d, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 6*k**2 + 5*k - 13. Let d(x) = -9*x + 13. Let q be d(1). Suppose 6*o + 26 = -q*z + 5*o, 2*z + 20 = 3*o. Determine l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-18))\/(3\/9). Let m = 889\/333 - 25\/9. Is n greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 150448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 253, 1030, 2329, 4150?\n\"Answer: 261*r**2 - 6*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*z + 255 - 219*z - 428 - 2*z**2 + 173.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = w - 10 - 24 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v**(-9))**(-16) assuming v is positive.\nAnswer: v**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4691 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 624888\nAnswer: -187466.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + c + 1. Suppose 3*j + 2*l - 37 = 0, 4*j + 16*l - 72 = 19*l. What is the remainder when v(6) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5500*b. Let l(j) = 3*j + 730. Determine l(x(i)).\nAnswer: -16500*i + 730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9858*w - 867469. What is y(88)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13524 - 13526. What is the closest to -2 in z, 1, 0.02?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -81521?\nAnswer: 3\/81521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -22*t**2 - 415*t + 80. What is u(-19)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*a = a + 1268, -4*x + 1260 = -a. Let o = -2 - 0. What is the common denominator of o*1 - x\/(-16) and -115\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*i = -346 - 298 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(171) + -1)**2 + -1 + 2 + -5 - (-6*(-5*-2*sqrt(171) + 4))**2).\nAnswer: -616009 - 8646*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 - 131. Solve -7 = f*k - 4*a, 1 = 2*a + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 1638?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*i - 31 + 8, 0 = -5*i + 2*g + 49. Suppose 0 = -3*z - 3*f + i, 0 = 2*f - 3*f. Solve -5*b = -3*t - 16, -2*b + z*t + 2 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -6 - 0. Let m be 3 + -6 + 0\/a. Is 0.1 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4531 and 4474 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/18776 and 53\/11735?\nAnswer: 93880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60571, -60576, -60581?\nAnswer: -60586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55614 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 14*t**2 - 3*t - 21. Let h = -49 + 2. Let d = -61 - h. What is the tens digit of l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4932494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 4*m - 1. Let z be n(5). Suppose z = 3*a - 5. Suppose 0 = -4*u + w + w + 20, 4*u - 26 = 5*w. Sort u, -1, a in descending order.\nAnswer: u, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**5 - 94 + 113 + 2*x**4 + 8*x**3 - 2*x**4. What is the third derivative of b(z) wrt z?\nAnswer: 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003487 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 5*w + 290, -2*w - 287 = -3*b. Find the second derivative of -3*z + 89*z**5 + 4*z + 6*z - b*z**5 wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q**3 + 4*q**2 + 122*q + 40 = 0. What is q?\nAnswer: -4, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*q - 752*q + 371*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -32*h**3 - 2*h**2 + h + 2. Does 4 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from jdgjjggjggjjjdjjjgj.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 467*h + 13009. List the prime factors of s(0).\nAnswer: 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18515 + -5?\nAnswer: -18520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -264.53.\nAnswer: 132.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 10*q**2 - 4*q - 3. Suppose -4*f + 10 = -s, 0*s + 2*f - 20 = 2*s. Calculate the remainder when h(s) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10889, 12105, 13321, 14537, 15753, 16969?\nAnswer: 18185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 24*a**2 + 455*a - 41. What is r(-19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18793.00075 + -18774. Let i = -0.129 + -18.871. Let q = x + i. What is q rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*12*25\/(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2310469.0000033 - 2310465. Let k = 4 - d. What is k rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 91430014?\nAnswer: 91430014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 80 = 5*g. Let w = -10 - g. Let q be -1 - -1 - 19\/(247\/(-234)). What is the greatest common factor of q and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2795319?\nAnswer: 3, 310591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 10*c + 2*c - 11*c.\nAnswer: c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 985*u**4 - 339*u**2 - 11*u + 12. Let z(h) = 328*h**4 - 113*h**2 - 4*h + 4. Let b(p) = -4*y(p) + 11*z(p). Find the third derivative of b(n) wrt n.\nAnswer: -7968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138.925159 + -138.981. Let t = s + 0.0564. What is t rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983 a factor of 118604848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9 - 11 = 0. Solve x*b = 3*b - 3*m + 12, 0 = 5*b - 4*m + 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 63 = -28, 0 = -5*y + 4*j - 195869972. Round y to the nearest 100000.\nAnswer: -39200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -465 + 987. Suppose 0*i + 513 = 5*w + i, 4*i = -5*w + t. Suppose 0*o - 2*o + w = 0. Calculate the highest common factor of o and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3530495 is divided by 550?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - w**2 + 0 + (520*w + 129*w - 55*w)*(2*w + 0*w - 4*w + (-15*w + 3*w - w)*(-3 + 1 + 0)).\nAnswer: 14255*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -0.1, -0.4, -0.64?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = -6. Suppose -4*q + 28 = 3*x, -g*q = -3*x - 3 - 5. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let o be ((-2 - 4) + -3)*1\/(-3). Let v(m) be the third derivative of 2*m**2 + 0 + 0*m**o - 1\/4*m**4 + 0*m. Give v(k(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212232 (base 4) in base 16?\nAnswer: -19ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*l = 2*l + 276, z - 5*l - 81 = 0. Suppose 6*c = 4*c + z. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 404389\/27 - 29951\/2. Find the common denominator of -151\/1026 and h.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/6)\/((-12)\/267232). Let x = c - 935215\/28. Calculate the common denominator of (3 - 7\/4)*(-1)\/2 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (0 - 3))*5. Suppose -8*m = -4*m - q. Solve -m*f = 3*z + 19, 5*z - 3*f = -8 - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1168390 and 872?\nAnswer: 509418040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -1\/4, 3, 0.05, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8 + (-4 - 11778\/(-987)) and 129\/70?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -112102122212?\nAnswer: -112102122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i + 32 = 0. Suppose -4*m + y = -57, 14 + i = m + 5*y. What are the prime factors of (9\/3 - 5) + m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3501 is divided by 430.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107645.\nAnswer: 5, 21529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2645 - -2630.79. What is x rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-116)\/(-24) + -5)*(-88)\/(-33).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (11 - (-11 + 17)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0*z**3 + 1\/2*z**2 + 1\/6*z**4 + 0 - 4*z. What is the first derivative of f(k) wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = 4*f + n, -5*f = -n - 4. Suppose -5*h - 25 = w, 0 = -2*h - 5*w + 14 - f. What are the prime factors of (-4)\/h - ((-25900)\/21)\/10?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 - 49. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -435*p - 1485. Let k be t(-7). Calculate the highest common factor of k and 2808.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/4 + (-48315)\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 16*b - 5. Let p(t) = -3*t + 1. Let o(h) = -2*g(h) - 11*p(h). Give o(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 5, p: 15}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (9 + -10 - (-1 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**6\/15 + 4*h**2 - 4*h. Differentiate n(d) with respect to d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -q + 16, 154635*q - 10 = 154630*q + 5*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -3435 (c) 2\/11 (d) -4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*u + 1399*u - 17875 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 - 34*x**2 + 2 + 16*x**2 + 18*x**2 + x**3 to the form j*x**4 + m*x + y + o*x**2 + z*x**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 17\/113?\nAnswer: 17\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (584\/13140)\/((-6)\/5)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (2 + -108) - 50?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 9 + 21 + y)*(0*y**2 + y**2 + y**2) as s*y**3 + v*y**2 + x + t*y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aewccec. Give prob of sequence cae.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 20) + (27 + -8 - 37).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, a: 1, t: 6}. Give prob of picking 1 s, 1 t, and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(405) - sqrt(405)) + 5 + -2)**2 + -2 + -1.\nAnswer: 54*sqrt(5) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/21))\/r*r*(r\/(r*r\/(r*r**(2\/3)*r)*r))\/r*(r\/(r\/(r*(r\/(r*r*r\/(r*r*r\/r**(1\/4))))\/r)*r)*r)**(25\/4) assuming r is positive.\nAnswer: r**(1831\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82706299.\nAnswer: 13, 73, 87151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -33. What is the closest to -1 in t, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -23*b**2. Let q(f) = -4*f + 120 + f - 120. Give k(q(c)).\nAnswer: -207*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, -355, -965, -1817, -2911, -4247?\n\"Answer: -121*f**2 - 5*f + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59026778 and 6059?\nAnswer: 59026778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/5 - -5) + 170 + 1. Let a = 239 - r. Calculate the remainder when a is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2029558 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10)\/4*211\/((-156140)\/3552)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198.628 - 199. Let s = -0.028 + y. What is the third biggest value in s, -1\/2, 4, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + g + 8 = 0, -3*v - 5*g + 2*g = 0. Suppose -4*i = -2*i + v. Let m be 1*(-2 + 5 + i). Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37889207383*v**2 - 37889207383*v**2 + 21*v**3.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*1302\/651*((-4)\/20)\/(4\/10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5919274, -5919286, -5919298, -5919310?\nAnswer: -5919322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(51 - 9))\/((-6)\/(-14)). Suppose -4\/3 + 4\/3*z - v*z**2 = 0. Calculate z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -57337308*f**3 - 12478*f + 35 + 1703595*f**2 - 3 - 33426*f + 14838765*f**2 = 0.\nAnswer: 2\/1431, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 5) + (9 - 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.9, -5, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d + 1930 = 2194 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12900 + -12831.53. Let d = x + -63. Let y = d + -5.1. What is y rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-322)\/8 - (-9)\/36. Let c = f + 76. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*c + 0*c = -104, 0 = -5*s - 5*c - 140. Let a = 45 + s. Let f = 29 - a. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13146 and 64806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -529, -796?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1712 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 495.016 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240073 + 996276 = 59*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7. Let g be d(6). Suppose g = 2*z - 91. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*p + 1605720 = 1607904 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -383, -856, -1527, -2402, -3487, -4788, -6311?\nAnswer: -8062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1750 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 2*d + 1. Let n(a) = -120*a**2 - 15*a + 20. Let p(u) = -n(u) + 6*s(u). Find the second derivative of p(i) wrt i.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512*n**3 + 3*n**2 + 128*n**3 - 3*n**2 + 17.\nAnswer: -384*n**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (8 + 9 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y + 12, 4*b - 2*y = 88. Let v be (2\/b)\/((-14)\/16). What is the closest to -2 in v, 2, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 21*p + 40*p - 133542. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -392*a. Let l(u) = 7*u + 3. Let t(j) = 40*j + 17. Let v(w) = 34*l(w) - 6*t(w). Determine v(m(p)).\nAnswer: 784*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - v = 24*c + 3, -2*v - 10 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38809165 is divided by 52?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 192217247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/674 > -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -157*z - 117. Let c(n) = -77*n - 54. Let t(w) = 13*c(w) - 6*m(w). Let u(d) = -d. Give u(t(k)).\nAnswer: 59*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4509 - -7569. Let f be 141605\/a + 2*2\/16. Let b = f + -4\/153. Calculate the common denominator of -27\/38 and b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*((3*s - 2 + 2)*(-2*s**2 + 2*s**2 + s**4) - 3*s**3 + 3*s**3 - 7*s**5 - 45*s**5 + 24*s**5 + 19*s**5).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 2*z**5\/55 + 29*z**4\/22 + 340*z**3\/33 + 364*z**2\/11 + 48*z + 14216. Let c(a) = 0. What is a?\nAnswer: -22, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 - 133 + 150 - 26 - 144 - 2*p.\nAnswer: -2*p - 305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39194942117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.085 (b) 0.2 (c) 0.1 (d) -4\/3 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152120400 and 64?\nAnswer: 608481600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10349600117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 7*b - 448. What is the least common multiple of 48 and b?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - 94.9020067?\nAnswer: -94.9420067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*t + 116 = 328, 4*b + 3*t = -233. Let n = -40 - b. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6208\/3880)\/(((-56)\/(-10))\/(-2)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1164795 divided by -5\nAnswer: -232959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*c - 5, 3*x - 16 = -3*c - 1. Suppose 0 = 5*i + 3*m - 1474, x*i - m - 1470 = -6*m. What is the greatest common divisor of i and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3260*g**2 - 487*g + 3 wrt g?\nAnswer: 6520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-1 - (1 - 4 - -1)) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - -68) + -68 + -94.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-104)\/(-13)*1\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(3\/(-10)*36\/27).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1642967 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 7, w: 3, s: 1, c: 1}. What is prob of sequence wsuw?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q + 5*u + 28135 = 0, 4*u = 2*q - 14066. Let o = q + -98607\/14. Find the common denominator of 1*2 - 45\/16 and o.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, p: 11, i: 1}. What is prob of picking 1 r and 2 p?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2971041, -2971014, -2970987, -2970960, -2970933?\n\"Answer: 27*b - 2971068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*j**2*m**3 - j**2*y - 9*j - 4*m**3*y - 2*m**2*y wrt j?\nAnswer: 218*m**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (22 - 40)) + (26 - 67)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 1034847?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-285)\/19380*17\/(-1)*-276\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -14653 and -14652 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782279895 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2)\/((s\/(s**(-6)*s))\/s*s*s*s))**21)**(1\/3))**(3\/4) assuming s is positive.\nAnswer: s**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 74*g**2 + 814*g + 554. Calculate y(-61).\nAnswer: -727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*v - 13*v - 4*h - 28, v + 4*h = 7 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1139908*l**2 + 4*l + 104260.\nAnswer: -2279816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15594087 by 1.\nAnswer: 15594087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10\/(g\/g**(-4\/3)))\/(g**(1\/2)\/(g\/(g\/((g*g*g**(-2\/17))\/g)*g*g)*g)) assuming g is positive.\nAnswer: g**(719\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d + 48*d + 45*d + 46*d - 179*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -0.2 (c) 4.27 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46035 divided by 93?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114.24 + 13.56. Let n = 36 - z. Let j = n - -98. Round j to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 186520 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 + 70 - 11)*(0*w + 2*w - 3*w).\nAnswer: -121*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -448, -246, 290, 1322, 3012, 5522, 9014, 13650?\n\"Answer: 27*m**3 + 5*m**2 - 2*m - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 70*u**2 + 105*u + 450.\nAnswer: -5*(u - 3)*(u + 2)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -25. Let p = n - -12. Is p smaller than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 114 + 58. Is 3\/4 - (-28978)\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 490, 976, 1462, 1948?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14490 divided by -14.\nAnswer: -1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 768 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wubc when four letters picked without replacement from wuvfbwcb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) - sqrt(6)\/sqrt(3)*-5 - (sqrt(16)*2)\/sqrt(8)) + -3*(3 + (sqrt(50))**2 + -2*sqrt(8)\/sqrt(4)).\nAnswer: -164 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504085502 - 504085502 + 3*p + 6*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k*(k\/(k*k\/(k*k**4*k)))\/k))\/k**(2\/5))\/((((((k*k**(-8))\/k*k*k)\/k)\/k)\/k)\/((k*k**3)\/k)) assuming k is positive.\nAnswer: k**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:58 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, y: 1, b: 2, l: 6}. Give prob of picking 1 l, 1 u, and 2 b.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p - 25*p = -341*p - 556. Suppose -3*f = 2*f - 10. Put 12, p, 4, f in descending order.\nAnswer: 12, 4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - (-14 + -46) - 38.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x. Let y(q) = 10*q**2 + 33*q. Give z(y(l)).\nAnswer: -10*l**2 - 33*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1614844 + -892338\nAnswer: -2507182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -749121 or -749136?\nAnswer: -749121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a factor of 39051792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30793 and 0.08.\nAnswer: 2463.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 887958?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*c**4*t**3 + 2*c**4 - 291*c**2*t**3 + 2*c*t**3 wrt c.\nAnswer: -552*c*t**3 + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/3864 and -11\/1780188.\nAnswer: 573220536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*c + 15 = 0, -4*a - 5*c - 8 + 33 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 9576252?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 + (25 + 44 - 29).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v*v**0*v))**(-5\/4))**(-9\/2)\/((v**(-6)\/v*v*v**(-6))\/(v\/(v\/(v\/((v*v**(-2)\/v)\/v)))*v*v*v**(-4)*v)) assuming v is positive.\nAnswer: v**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 28 + 14. Suppose w + 4*w - n = -4*l, -2*l = -w. Solve 2 = w*a - a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 75*v**3 - 4*v. Let d(p) = -32548*p**3 + 1738*p. Determine -2*d(q) - 869*h(q).\nAnswer: -79*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -75*a**3 - a**2 - 8*a + 41. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-15))\/2*(-9)\/(-2). What is the lowest common multiple of (1\/(-1))\/(p\/30) and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 22*g - 32 + 8*g**4 - 31*g**3 + 60*g**3 - 31*g**3 + 13 in the form r + f*g + k*g**3 + b*g**2 + i*g**4 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1253*r + 130969. Determine d(107).\nAnswer: -3102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456104 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -41*h + 7 + 46*h - 3 + 0*h**2 + 2*h**2. Calculate a(7).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 732\/390 - ((-2310)\/(-75) + -30). Determine y so that -s*y**3 + 54\/13*y - 60\/13*y**2 + 20\/13 = 0.\nAnswer: -5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvyyyvyyyyyyyvyy. What is prob of picking 1 y and 2 v?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -1\/20*o**5 - 11 + 1\/8*o**2 + 1\/24*o**6 - 1\/4*o - 1\/8*o**4 + 1\/6*o**3. Factor s(h).\nAnswer: (h - 1)**3*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58587821.\nAnswer: 6959, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -329\/8489 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -403 - -1311. Find the third derivative of 9*v**3 + o + 22*v**2 - 908 wrt v.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94059, -185698, -277337?\nAnswer: -368976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 75575551.2861 and 4.\nAnswer: 75575555.2861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 581598 times 1\nAnswer: 581598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:34 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*g**3 - 7*g**3 - 8*g**3 + 98*g**2.\nAnswer: -g**3 + 98*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*d - 13*d + 105. Let k(c) = -55*c**2 + 1. Let y be k(-1). Let u = d - y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m**4 - 684*m**3 - 2320*m**2 - 1968*m = 0.\nAnswer: -82, -2, -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -33897807 to the nearest ten thousand.\nAnswer: -33900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -13*g**3 - 14*g**2 - 7*g - 1. Let c(y) = -4*y**3 - 5*y**2 - 2*y - 1. Calculate 7*c(d) - 2*x(d).\nAnswer: -2*d**3 - 7*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-854)\/(-168) - (-3)\/(-4) - 4. Let b(a) be the second derivative of -7*a - 1\/6*a**4 + 0*a**2 + w*a**3 + 0. Find the second derivative of b(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -18*b**2 - 4 + 0 + 5*b**2 + b + b**3. Let r be g(13). Suppose -4*f + r*f = -25, -m = f - 112. Calculate the highest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.8, 1, -59.7, 0.5, 2, -5?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29.8 (b) -183 (c) 1\/6 (d) 16 (e) -1.4 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/(-260)*-37070 - (-4)\/(-26). Round m to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141142479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 - 47.05. Let l = -0.05 - o. Suppose 3*d + 16 = -0*x - 5*x, -2*d - 4 = 2*x. Which is the closest to l? (a) -4 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -13. What is the closest to w in 4, -0.5, -1.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1143031103324 - 4?\nAnswer: 1143031103320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.17383 millilitres in litres?\nAnswer: 0.01017383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 a, and 2 o when four letters picked without replacement from sfaaoffoaoo.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9541\/26 - 367. Is 0 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**5\/5 + 2*s**4\/3 - 14*s**3\/3 + 8*s**2 - 2*s + 2. Let j(c) be the first derivative of d(c). Factor j(m).\nAnswer: 4*(m - 1)**2*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 983 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l + 3 - 24944*l**3 - 1 - l**2 - 1 - 3*l + 24943*l**3. Calculate k(-5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/18 + -6 - 826\/708 - 61.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2.2 (c) 18.3 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -5138?\nAnswer: 25690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*w + 11, 0 = -w + 3*r + 6 - 3. Let d be ((-2)\/6)\/((-10)\/(-90)). Let y = d + 3. Is y at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298553?\nAnswer: 3, 53, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/5 + 17644*h\/5 + 38913842\/5 = 0. Calculate h.\nAnswer: -4411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2421550*p**2 + 1210762*p**2 + 1210788*p**2 - 8*p**3 + 4*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.053906144 to 3 dps.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**3 + r**2. Let x be s(-2). Let p be x\/(-6) + (-14)\/42. What is p rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41948.\nAnswer: 2, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*-4 + 2. Suppose -5*c + 84 - 24 = u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 35328.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 11*f + 6. Let b be h(-11). Let y(l) = -2*l**2 + 1 - 5*l**3 - 1 - 5 + b. Let q be y(-1). Solve 0*c = -4*c - q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395\/(-237)*(-4)\/(-5)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*v - x + 29, 2*v = 5*x + 52. What is the units digit of 6\/v - (-33)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 17\nAnswer: 96\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 877602774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqx when three letters picked without replacement from {u: 4, q: 5, x: 8}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2 - 515. Let i = a - -256. Suppose -12*o = -i + 25. Solve -o*l - 18 - 2 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6835 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24 + -6 + 3\/(-3). Suppose -i = 3*k - 2. Let u(t) = 7*t**2 - t - 9. Let p(n) = 4*n**2 - n - 5. Determine k*p(c) + 3*u(c).\nAnswer: c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2616.329 + -2615. Let o = j - 0.129. Sort o, 0, -1 in decreasing order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 3007*c**6\/120 - 89*c**5\/60 - 2*c**2 + 502. Find the third derivative of g(d) wrt d.\nAnswer: 18042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*d - 88*d + 720 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*y - 9*y + 6*y + (-1 + 5 - 5)*(0*y + 0*y - y))*(-725*y + 1343*y - 751*y) to the form i + k*y + n*y**2 and give n.\nAnswer: 1330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324260.\nAnswer: 2, 5, 31, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 4*o - 91 + 100, -4*o + 12 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.8, 2\/13, -0.5, 0.3, 0.17?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 2. Let r be d(-1). Let v(w) = 22*w - 42*w + 3 - 3*w**r + w**3 + 21*w + 0*w**3. What is the units digit of v(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (2 - 1) + -91 + 73 - 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 159 = -168 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1687415 (base 9) to base 14\nAnswer: -1a7c88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3341124 millennia to decades.\nAnswer: 33.41124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.742 + 1.41. Let k = -0.132 - n. Let p = -0.4 - 0. Which is the smallest value? (a) k (b) 3 (c) -1\/11 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 97127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 6*r + 2. Let x be a(-6). Suppose 16*n = -42 - 22. Let u be (10\/(-3) - n)\/(1\/3). Solve u = x*m + 12 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710402?\nAnswer: 2, 7, 11, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 276 - -2b8?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.00726 + 0.76726. Put -0.1, o, 0.4, 28 in ascending order.\nAnswer: -0.1, 0.4, o, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(35)\/sqrt(5))**2 + -2 + 0 - (3 + sqrt(42)\/sqrt(6)*-2 + -2).\nAnswer: -6*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1830 divide 1309445520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513035.4s to milliseconds.\nAnswer: 513035400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004882972 rounded to four decimal places?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -4*q + 6, -13*j - 5 = 12*j - 26*j - 4*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 26946080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 4845 (c) -4967\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284123.3 millennia to years.\nAnswer: 284123300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/28*-25*(-294)\/147.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277616?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + i + 3 = 3*j, -2*j + 5*i + 15 = 0. Solve j = -19*t + 18*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s + 24578 = 26*s. Let i = -86225\/7 + s. Which is greater: -30 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4726 a factor of 1705805347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/2*(-14)\/(-280)*-10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 26088?\nAnswer: 52176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 297 + 1422. Let v = n - -129. Solve v*s - 10 = -14 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 88 = 10*b + 12*b - 39*b - 2*o, 428*b - 2*o + 19262 = 0 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26.6 or -52989?\nAnswer: -26.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = 4*d - 9*d - 3*i, 3*i = 0. Suppose 2*v + 20 = 5*h + v, 4*v + 23 = h. Let n(s) = 5*s + 3. Calculate the remainder when d is divided by n(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 + -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15995 - 15989. Suppose 0*d = d - 24. Calculate the smallest common multiple of x and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.79891 and 4.659?\nAnswer: 3.86009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 16*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 98227?\nAnswer: 1178724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 2*a + 3*a)*(2*a - 2 + 2) - 2*a**2 + 2 - 1 + 3 to h + n*a**2 + q*a and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -951 (b) 21 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 395641\/10 + 629\/5*b + 1\/10*b**2 = 0. What is b?\nAnswer: -629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 120 = 5*w, 0 = w - 4*w - 4*m + 51. Let o(x) = 2*x - 17. Calculate the remainder when o(w) is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1034 and 11186?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q. What is w(5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 2*g**2 - 2\/5*g**5 - g**4 + 2\/3*g**3 + 4 + 0*g. Factor q(v).\nAnswer: -2*v*(v - 1)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -19.1 (b) 1 (c) 13 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -19. Suppose -57 = -3*t + 3*w, -10*w + 13*w = 24. What is the highest common divisor of j and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.04845\nAnswer: -0.024225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -n + 5, -r - 15 = -n + 5. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v = -19*v - 30. Suppose -v*g + 90 = -g + 5*s, 3*s = 2*g - 51. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -924*w - 2332.\nAnswer: -924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v - 600 = 5*z, v - 4*z + 300 = 0. Let f = v + 327. What is the least common multiple of f and 14?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.999945 - 11. What is q rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*x - 25*m = 102*x - 140, -4*m = -4*x - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 240 = -2*h - 7*j, -2*j + 496 = 4*h. What is the remainder when h is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*a, -3*d = -a - 30473 - 6689. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, n: 1, x: 2, p: 1}. What is prob of picking 1 p, 1 d, and 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*a = -317*a - 800. What is the remainder when a is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -261, -4\/5, 5, -2\/23, -2\/21, 3\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = 2*u. Let x(p) = 16*p - 11. Let t be (-330)\/(-25)*(-20)\/(-6). Suppose -4*k = -0*k - t. Let q(v) = -3*v + 2. Determine k*q(r) + u*x(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1118, 1109, 1094, 1073, 1046?\n\"Answer: -3*n**2 + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2754, -4, 1\/10, 2, 14\/25 in decreasing order.\nAnswer: 2754, 2, 14\/25, 1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -57*o**3 + 6*o**2 - 6. Let u(y) = 172*y**3 - 17*y**2 + 17. What is 17*n(k) + 6*u(k)?\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/9*(36\/(-56))\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**7\/21 + h**3 - 8*h. What is the second derivative of v(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*f + f - 212, -51 = f + 2*v. Is -0.1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37769763 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 668002?\nAnswer: 2, 19, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10501 - -10478. Which is the smallest value? (a) s (b) 1 (c) 0 (d) 0.1 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.87873 times -734?\nAnswer: 2112.98782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/((-9)\/3) - 9\/(-3). What is the closest to 0.1 in -3, c, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2308 + 5202. Let a = z - 28917\/10. Calculate the common denominator of a and 53\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4833 and 126111.\nAnswer: 203164821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.89 in 2, 3, 17, 130?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -60*v + 399. List the prime factors of y(-6).\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*l**5 + 6*l**2 - 77*l wrt l?\nAnswer: 120*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 68, 57, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11499.\nAnswer: 3, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1877\/14 - 134. Let j(b) be the first derivative of 1\/7*b**2 + 4\/21*b**3 + u*b**4 - 1 + 0*b. Let j(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23568*n + 261 - 9 = 23610*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -848, 4, 2 in descending order.\nAnswer: 4, 2, -848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*i**2*m**2 - 3*i**2*m*q**2 - i**2*q**3 - 45*i**2*q**2 + 19*i*m**2*q - 2*m**2*q**3 wrt m.\nAnswer: 10*i**2 + 38*i*q - 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3))**(-9\/4)*(p**1)**46 assuming p is positive.\nAnswer: p**(187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n, 2*u - 3*n = -2*u. Suppose 3*v - 99 + 90 = u. Calculate the greatest common factor of v and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(192))\/(sqrt(24) + sqrt(24)*2)*-3 - (1 + 2 + -3*(-1 + sqrt(288)))**2).\nAnswer: -7884 + 1284*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*m**2 - 3839761*m - 436135304 with respect to m.\nAnswer: 16*m - 3839761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*l - 10*l + 1 - 2*l**4 + l**3 - 5*l - l**2 - 4*l**2 + 3*l**2 as y*l + m + t*l**3 + w*l**2 + v*l**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.01 + -1. Let q = v - 0.01. Suppose -3*s = 2*j - 7, 0 = -2*j - 5*s + 9 - 0. Which is the third biggest value? (a) q (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from jkkkisg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeoi when four letters picked without replacement from {i: 2, o: 2, e: 2, l: 4}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 79. Suppose -m - 14 = -g. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 558.2236 tonnes?\nAnswer: 558223600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -25 + 18 - -22?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let b(a) be the second derivative of a**3\/2 + 20*a**2 - 25*a. Calculate b(g(t)).\nAnswer: -3*t + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4))**(2\/29)*(l\/(l\/(l*l\/(l\/((l*l**(4\/7))\/l))))*l)\/(l*l**(-5\/6)))**(1\/19) assuming l is positive.\nAnswer: l**(1475\/11571)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 15 - 21 + 188*n**2 - 45*n**2 - 140*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 2. Let n be 20\/3*((-9)\/(-4))\/3. What is p(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + v**2 + 2 - 1 + (0*v - 3*v - 7*v)*(-16*v - 12*v + 12*v).\nAnswer: 161*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-47)\/(-7) + (60\/14 - 4). Let q(b) = 3*b - 2. Let r be q(1). What is the units digit of (d - 10) + (r - -60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)\/(((y\/(((y\/y**(-2\/19))\/y*y)\/y))\/y)\/y))\/((y*y*(((y**(-2\/41)*y)\/y)\/y*y)\/y)\/y**(-12)))**(-47) assuming y is positive.\nAnswer: y**(3182464\/5453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 4, 0 = 9*s - 6*s - 4*f + 5. Which is the nearest to 0? (a) s (b) 3\/5 (c) -0.12 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 104, 218, 356, 506, 656, 794?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -12, 5\/2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u + 25. Let b be i(-6). Let r be 10*(0 + b)*(0 - -1). Solve -5*o + 3*o - r = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-760)\/(-60))\/(-38))\/((92\/(-240))\/(-23))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 472 - (25\/(-5))\/(-5). Suppose c = 369*u - 368*u. Is u a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 330.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*o**2 + 3)*(-12 - 17 - 9)*(3 + 6 - 4) as t + l*o**2 + q*o and give l.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 1. Let p be a(-2). Suppose 6*c = p*c - 12. Is (-20)\/c*109\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22.979 not equal to 0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -70 = -8922\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -45, 5, -3, -4, -1 in increasing order.\nAnswer: -45, -4, -3, -1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*1\/(-6)*57\/(-95)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**4*w**3 - 307027*d**4*w**2 + 4440*d**2*w + 383*w**3 wrt d.\nAnswer: -72*d*w**3 - 7368648*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -w**3\/6 + 19*w**2\/2 - 6*w. Let u be r(14). Solve -5 - 5 + 12*z + 3 - u - 3*z**2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 268*q\/7.\nAnswer: 2*q*(q + 134)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 + -11001?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-896)\/8976*-17*6\/8\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*m**4*r**3 + 2*m**3*r**3 + 283*m**2*r**3 wrt m?\nAnswer: 1248*m*r**3 + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 1. Let r = f - 0.7. Let c = -0.2 - r. Which is smaller: 2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 49. Suppose 5390 = g*f - 2*o, -f = -0*f - 3*o - 1355. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-9))\/(-1))\/((10164\/378)\/121).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 500512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y + 0*y)*(y**3 + y**3 + 4*y**3) + y**4 - y**4 + y**4 + (2*y**2 - 3*y**2 - y**2)*(y + y**2 - y).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 629045 and 6305?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.31. Let n = -0.39 + i. Suppose 0 = 9*t - 0*t - 36. Which is the smallest value? (a) 0 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o**4\/4 - 207*o**3\/2 - 252*o**2 - 417*o\/2 - 225\/4 = 0.\nAnswer: -25, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) - sqrt(144))\/sqrt(3) + sqrt(3) - -4*sqrt(6)\/sqrt(2).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25264, 25266, 25268, 25270, 25272, 25274?\nAnswer: 25276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(2\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050505231 (base 6) in base 8?\nAnswer: 53736763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 13 = 7, 5*j = y + 23. Suppose -4445000 = 5*g + y*g. What is g rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6436934 and 50274?\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) - (sqrt(99) + 1)**2)) + 4 + (sqrt(99)*2*3)**2.\nAnswer: 6*sqrt(11) + 3668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 18*d. Let q(r) = -3*r**2 + 35*r. Let t(i) = 5*h(i) + 3*q(i). Find the second derivative of t(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/4)\/(33\/44). Let b = 0 + 2. Calculate the highest common factor of b and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 259 + (6 + -3)\/(-1). Suppose 5*a - a + m = 0. Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 + 237*j - 225. What is h(-48)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2. Let x(h) = -9*h**2 - 5*h. Let c(d) = -29*d**2 - 15*d**2 + 46*d - 70*d. Let b(n) = 5*c(n) - 24*x(n). Determine b(j(f)).\nAnswer: -100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 46. What is the lowest common multiple of r and (-249)\/(-15) + (96\/(-20))\/8?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u. Let s(o) = 8*o**2 + 934*o + 6. Let c(x) = 2*x**2 - 2*x + 1. Let w(p) = -6*c(p) + s(p). What is w(i(r))?\nAnswer: -16*r**2 - 1892*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 71387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 902 and 1232?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/132 and (20\/(-14))\/(-5) - 31052\/119658.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 4. Let i be n(-3). Suppose 2*l - i*v - 30 = -0*l, -l - 4*v = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*q - 24054172 = 7445848, -o = -q + 6300005. Round o to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*l**3 - 197763678*l**2 - 847559970*l - 908100450.\nAnswer: 2*(l - 2018001)*(7*l + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2 + 5\/2*b**2 + 0*b. Let g(y) = y. Give g(q(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*t - 70*t - 49*t - 4*t.\nAnswer: -188*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 216?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 14*i + 15. Calculate q(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 20.9999997. Round y to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*y + 21606595 = 318*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 - (-18 + -62 + 117)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2604 and 33.\nAnswer: 28644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.85 - -94. Let g = m - 0.95. Which is the third smallest value? (a) 3\/8 (b) -0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(6\/13)\/(j\/(j\/(j**(1\/2)\/j)*j*j))*j**(3\/2)\/((j\/j**21)\/j*j) assuming j is positive.\nAnswer: j**(318\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13397674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22 or -70\/3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.2 + 0.2. Let w = 2478 - 2497.01. Let v = w - l. Which is the nearest to -1? (a) -0.1 (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 6*v + 6*v)*(-2*v - 1 + 1)*(-307*v + 307*v - 129*v**3).\nAnswer: 3354*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -60*((-24)\/10)\/3. What is the greatest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i + 0 + 1\/90*i**5 - 1\/1008*i**8 + 0*i**3 - 1\/315*i**7 + i**2 + 1\/72*i**4 + 0*i**6. Factor r(v).\nAnswer: -v*(v - 1)*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/24732 and -25\/10224?\nAnswer: 7023888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 - -47.8. What is the second biggest value in 0, -0.3, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/3)\/((-1)\/126). Let r be (w\/(-38) - -1) + 1. Let q be (4 + -5)*(20 - 19). Is r smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -128.293 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12023420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 18 = 3*k, -253*k - 3 = -252*k + 2*t. Solve -2*d - 2*d = -f + 1, 0 = 2*f + k*d - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(18) + -6*(sqrt(2) + 1))*6 + ((sqrt(96)\/(-2*sqrt(4)))\/(-1*sqrt(768)))**2.\nAnswer: -18*sqrt(2) - 1535\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -470*g. Let v be i(1). Let o be (-2)\/(0 - 1\/(-2)). What is the common denominator of o\/(-6) + v\/48 and -99\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050176269 to three decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = 0, -5*q + 0*q = -5*k - 5. Solve q = 3*x - 0 - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19968758 to the nearest integer?\nAnswer: 4469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2008*l**2 + 275*l + 81. Let w(k) = 1005*k**2 - 137*k - 44. Let b(o) = 6*f(o) + 11*w(o). Find the second derivative of b(c) wrt c.\nAnswer: -1986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.7 + -5. Let b = o - -0.4. What is the smallest value in b, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610187\/33 + (-522)\/957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, s: 6, i: 2, q: 2, a: 4}. What is prob of sequence vsvq?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3051 divide 524839122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 71801.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42170 + -169.\nAnswer: -42339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 872\/5 + -175. Suppose a = 2*j + 2*j - 11, 4*a - 20 = 0. Put 3, j, b in decreasing order.\nAnswer: j, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {y: 1, t: 1, u: 1, e: 1, s: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.6 - -1499.891.\nAnswer: 1518.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.00762313 - 0.007863. Round c to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Suppose n*r = r. Suppose 3*p + f - 56 = r, -p + 5*f + 4 + 4 = 0. Solve 0 = -5*m - s + p, m + m + 4*s = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45295\/3736 - 1\/934. Let o(m) = m**3 - m - 6. Let w be o(0). Calculate the common denominator of ((-423)\/(-84))\/(w\/(-4)) and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419907, 839843, 1259789, 1679751, 2099735, 2519747, 2939793?\nAnswer: 3359879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 15. Differentiate 1 + o*l - 9*l - 4*l**2 with respect to l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21831000 to the nearest 100000.\nAnswer: 21800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 686*z**3 - z + 1. Let b be a(1). Suppose r = -r + b. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183786 divided by 6.\nAnswer: -30631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 3*v + 2*v + 0*v + 0*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1697*w = 1550*w - 3481*w + 14040 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 13*b**2 + 24*b + 22. Let l be i(-11). Let d = 13 - 18. Sort d, -2, l in increasing order.\nAnswer: d, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 163.132 and 0.0678.\nAnswer: 11.0603496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 405\/94 and 1317\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96857*i**2 - 2*i + 750890.\nAnswer: 193714*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -18. Suppose y*p - 60 = p. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 87. Suppose 0 = -g*m + 32*m + 2748. List the prime factors of m.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*((0 - 5) + 3). Suppose 7*m = 6*m + c. What is the lowest common multiple of 5 and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 580364014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104379044683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*0.02.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 26.25. Round j to 1 dp.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -126*c + 4 - 14 - 1 - 5. List the prime factors of h(-5).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1034, -327?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1510801?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*r + 12, -w + 3 = -3*r + 2*r. Suppose w = -3*l - 3 + 21. Suppose p - 22 = l. Is 28 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65410148*g**3 + g**2 - 18491772*g.\nAnswer: 392460888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 7*q**3 - 3*q**3)*(2*q**2 - 4 + 4 + (2*q + 2*q + 3*q)*(-2*q + q + 0*q) - q**2 + 2*q**2 - 7*q**2).\nAnswer: -55*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44595, 44396, 44197, 43998, 43799, 43600?\nAnswer: 43401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116 divided by 5.\nAnswer: -116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -1, 5, 19591, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5048 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -12*d - 132. What is the units digit of d\/66 - (-394)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6808, -7096, -7474, -7858, -8164, -8308, -8206?\nAnswer: -7774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4209, 4927, 5617, 6279, 6913?\n\"Answer: -14*b**2 + 760*b + 3463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b\/(b**8*b))\/(b*b\/b**(-1\/4)*(b\/(b**(3\/5)*b))\/b)*b**(3\/4)*b**(-3)*((b*b**(-1\/13))\/b)\/b**(1\/4) assuming b is positive.\nAnswer: b**(-2659\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929846272.\nAnswer: 2, 908053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*c + 40, 0 = -c + 5*n + 4 + 6. Let j be (7 - 6)\/((-3)\/c). Suppose -j*f + g + 17 = 0, -6*g + 3*g + 9 = 0. Solve 4 = -f*p + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 78. Suppose 2*x = 8, 0*s - 3*s + z = 2*x. Let k(o) = o**2 - 4*o - 4. What is the units digit of k(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3)\/z*z)**(9\/10))**(-15) assuming z is positive.\nAnswer: z**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d + 0*d**5 + d**5 - 2 - 6*d + (-6*d + 2*d - 5*d + 1)*(0*d**4 + 5*d**4 + d**4).\nAnswer: -53*d**5 + 6*d**4 - d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 + 4. Let t(j) = -4 + 3*j**2 - 1 + 0. Calculate -4*t(v) - 5*u(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30569294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 - (-3336)\/(-2919)*(-105)\/(-12)?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -6*g + 110. Let y(v) = -v + 6. What is the remainder when g is divided by y(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8592248 and 7544.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/436230 and 71\/70.\nAnswer: 3053610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133.7 + 13473.\nAnswer: 13606.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + 5*g - 4*g)*(-18*g**2 - 15*g**2 + 34*g**2) to the form f*g**3 + o + r*g + q*g**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-1092)*2\/(-4) + (-1853)\/(-1105).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (((sqrt(136) - (sqrt(136)*3 + sqrt(136) + sqrt(136) - sqrt(136))) + sqrt(136))*-2 - sqrt(136)))\/sqrt(8) + -5 + sqrt(119)\/(sqrt(7)*-3).\nAnswer: -5 + 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 216068, 216064, 216056, 216044, 216028?\n\"Answer: -2*a**2 + 2*a + 216068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 - 10*l + 26. Let p(u) = 20*u**2 + 30*u - 73. What is -8*j(w) - 3*p(w)?\nAnswer: -4*w**2 - 10*w + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1*(-8)\/(-12). Suppose u*h + 4*f = -0*h + 32, 0 = -h + 4*f + 46. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/192 and -5\/348?\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.02 - -0.02. Suppose g + 13 = 16. Suppose 5*v = -0*n - g*n - 34, 19 = -5*v + 2*n. What is the second biggest value in f, v, 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.041 - -0.041. Put -0.06, o, -0.3 in increasing order.\nAnswer: o, -0.3, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a factor of 146099660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.31 (b) 2 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.386 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wbipiwdbv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 10:17 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14261, -57087, -128477, -228431, -356949, -514031, -699677?\n\"Answer: -14282*c**2 + 20*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/88)\/(1\/115202). Let p = 7852 + v. What is the common denominator of 78\/(-13) - (-14)\/(-20) and p?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 - ((4 - -1) + -11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 14. Solve -2*z - 6 = p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -123.91054 and -0.33.\nAnswer: 40.8904782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -117, -1 in decreasing order.\nAnswer: 2, -1, -2, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 7:30 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - c = 0. Let p be (-10 + c)\/5 - -17. Calculate the highest common factor of 30 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(7\/5)*d**(-6)*d*d)\/((d\/((d**(-7\/4)\/d*d)\/d)*d)\/(d\/d**(1\/25))) assuming d is positive.\nAnswer: d**(-819\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/191 - -400\/1719. Let b(m) be the first derivative of 1\/3*m**2 - 3 - w*m**3 + 0*m. Factor b(s).\nAnswer: -2*s*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1107982\/127101 - 340\/39. Let g = -140117\/32590 + f. Calculate the common denominator of g and 234\/24 - (-1 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*i - 19 = 0, -5*n - 140*i - 50 = -137*i for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 14 - (3 - (0 - 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -7. Calculate the common denominator of -2 - ((-226)\/36 + -2) and r\/24 - 2\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 40. Let l(n) = n**3 - 14*n**2 - 8*n - 14. Let t be l(a). Calculate the highest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, 24, 102, 180, 258?\n\"Answer: 78*i - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3395 - -3402. Let t be (1*-2*(-12)\/(-56))\/(-1). Sort 9, -5, t, q in ascending order.\nAnswer: -5, t, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from {f: 2, z: 1, s: 2, n: 3, j: 3, l: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8890 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*m + 147 - 35 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/458, 2\/13?\nAnswer: 1\/458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) 0.4 (c) -36\/23317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75989612 to the power of 1\/2, to the nearest integer?\nAnswer: 8717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*a - 9, 5*a - 3 = 4*c - 2. Let j be (-26)\/(-8) - 21\/(-28). Let p be 2*((-6)\/j - 1). Sort 5, c, p.\nAnswer: p, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, -30, 6, 3 in decreasing order.\nAnswer: 6, 3, -1, -9, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 8*m**2 + 12*m + 4. Let k be w(-5). Find the second derivative of -37 + 37 + 15*r**3 + k*r wrt r.\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(-3 - 0)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2 - (-41 + 43)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*n - 16 + 7 = -0*g, -50*g - n = 153 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(0*f - 4*f - f)*(-4 - 2*f + 4).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4d924 (base 16) to base 11\nAnswer: -1a7798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + m - 7. Let l(p) = p**3 + 5*p**2 + 7*p + 3. Let z be l(-3). Give x(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -63 (b) 8 (c) -1\/5 (d) 13 (e) 0 (f) 39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -10. Let d(j) = -611*j + 2 - 8 + 9*j**3 - 6*j**2 + 606*j. Let n(q) = -8*q**3 + 5*q**2 + 4*q + 5. Give r*n(k) + 5*d(k).\nAnswer: -3*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -8\/1619?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 7. Give l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 44240050 to the nearest one hundred thousand.\nAnswer: 44200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -19. Let p(y) = 4*y**w - 9*y + 3 - y**3 + 4*y**2 + 2. What is p(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-3 + 4 - 2)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14708*f*u**3*w - 5*f*u**2*w - f*u**2 - 8*f*u - 8*u**3*w - 158*u**2 - 3*u - 4*w wrt u?\nAnswer: 88248*f*w - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -32*i**2 - 24. Let d(o) = 9*o**2. Determine y(d(b)).\nAnswer: -2592*b**4 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 18*u**4\/19 + 112*u**3\/19 + 78*u**2\/19 - 168*u\/19 - 40\/19 = 0.\nAnswer: -5, -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15034 - 15033. Put 0, -2, -4, -1, m in descending order.\nAnswer: m, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-207)\/9)\/230*12\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32008, 127992, 287956, 511894, 799800, 1151668, 1567492, 2047266?\nAnswer: 2590984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-14 - -13 - 36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.349 + -8.1705. Let y = l - -4.684378. Let b = y - -0.137. Round b to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uphp when four letters picked without replacement from {u: 5, p: 3, h: 7, z: 1}.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -5 + 10 + -3. Let c(d) = 1 + 11*d - s - 16*d. Suppose 3*n = -p - 4 - 7, 0 = -2*p - 4. Calculate c(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 109282, 874266, 2950646, 6994120, 13660386, 23605142, 37484086, 55952916?\n\"Answer: 109283*i**3 + 3*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1019*o**2 - 2412*o**2 - o**4 + 0*o**4 + (o**4 - o**4 - 2*o**4)*(0 + 1 - 2).\nAnswer: o**4 - 1393*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275575034.\nAnswer: 2, 7, 181, 108751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1872)*2 + sqrt(117)*-3 + 1 + sqrt(117))**2.\nAnswer: 180*sqrt(13) + 105301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 + -3. Let q be (-1 - -1)*(-5)\/10. Suppose 5*z + 1 - f = q. What is the greatest common divisor of z and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - k - 20. Suppose 0 = 8*o - 13*o + k. Suppose 2*d - o = -2*d. What is the highest common divisor of 11 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 5 (c) -162 (d) 2\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g*u**3 + 9*g*u**2 - 5*g + 5*u**2 + 91 wrt u?\nAnswer: 6*g*u**2 + 18*g*u + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.03 + 8. Let g = -5.7 - -0.7. Which is the third biggest value? (a) -2 (b) h (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3648?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5 + -2.5. Let i = 32.94 + 0.06. Let t = -38 + i. Which is the second smallest value? (a) g (b) -3 (c) t (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 38\/9*o**3 + 8\/9*o**4 + 16\/9*o + 6*o**2 - 8\/9 = 0.\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8243 + 8243 + 8*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + (0 - (-2)\/(-1)). Suppose 10 = x - 3*v, -2*v + t = 2. Let a = -11 + x. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 + -3.4. Let w = -0.98 + g. Let x = 0.08 - -3.92. What is the third biggest value in x, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/42 - 4\/(-14). Suppose -2*x + 244 = 4*g, j*g = 3*g - 3*x - 201. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 13 + (705 - 585)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zssjosiiijjsozjz. Give prob of sequence izzo.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -72. Suppose -4*i + 1379 = -d*u - 604, 4*u = -2*i + 972. Suppose -150 + i = 6*f. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2854008 (base 9) to base 7\nAnswer: -16232120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/14 - o**6\/120 - 2*o**5\/15 - 11*o**4\/24 - 3*o**2 - 32*o. Find the third derivative of h(m) wrt m.\nAnswer: 360*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -58326345.\nAnswer: 408284415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22334214 (base 5) to base 15.\nAnswer: 3e0c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -140*v + 13275. Let b be m(94). Suppose 3*j + 12 - 81 = 0. What is the highest common divisor of b and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 8*d + 4. Calculate t(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (83 - 2 - (21 + -16 + -21)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -17. Is 17 + ((-12)\/g - 4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = w - 6. Suppose -6*f + w*f + 16 = 0. Find the third derivative of f*x**4 - x**2 - 4*x**4 + 2*x**4 wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/120 - g**5\/12 - 5*g**4\/24 - g**3\/3 - g**2. Let b be r(-3). What is the units digit of b\/(-2) - 2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 5*s**3 + 7 + 3*s**3.\nAnswer: -2*s**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 - -112.765. Let f = n + 0.23500141. What is f rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681.8473 minus -0.03?\nAnswer: 681.8773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p. Let l(n) = 69*n**2 + 110 - 110 + 9*n - 9*n. What is b(l(h))?\nAnswer: -759*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42285 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -16. Let v(u) = u - 8. Let y(r) = -2*v(r) + w(r). Let z(l) = -l**2 - l**2 - l**2. Give y(z(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12982000 rounded to the nearest 100000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8742468l to millilitres.\nAnswer: 874.2468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1423066*s + 1423131*s - 780 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 3*n**2 - 2*n - 4. Let k be h(-3). Let g be (-5 - -3)*1\/k. Let l be (-49)\/21*12\/21. Which is bigger: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158488 divided by 4\nAnswer: 39622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2, y + h = -3*h - 9. Let d(v) = 11*v**2 - 5*v - 5. Let t(f) = 6*f**2 - 3*f - 3. Let n(i) = y*t(i) + 3*d(i). Let l(r) = -5*r**2. Give l(n(b)).\nAnswer: -45*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 47127?\nAnswer: 94254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31789584?\nAnswer: 2, 3, 19, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10509 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 31 = -4*q, q - 5*q + 4 = 4*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + a - 85, -a = b - 14 - 3. Suppose -13*y + b*y = 64. Solve -v + 0*v = -3*m + 8, 0 = -4*m - 4*v + y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 - -174. Solve 0 = u*s + 13 + 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -9.12. Let j = 10 + l. Let n = -0.3 - -0.1. What is the nearest to j in 0, n, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6490843.\nAnswer: 127, 51109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8, -4*a - 4*o + 704 = -728. What is the remainder when a is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -30*k**2 - 2330*k + 14. What is the tens digit of z(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*x - 167 - 175 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let p = 1421 - 1411. Solve b*j = -c - p, 4*j - 3*c = -17 - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 38 (b) -4\/3 (c) -350 (d) 1\/8 (e) -4 (f) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, 3, -4, 6, 2, -634.\nAnswer: -634, -26, -4, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34\/5 of a minute?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4537 + -13088. What is k rounded to the nearest 100?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 96 - 272 = -15*w + 12*w, -74 = -5*w - 2*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 39 + 9 = -3*z, -4*f - z = -64. Let t = -1 + f. What is the lowest common multiple of t and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27149679?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from zzzllolzzbllzzzlbz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 9:26 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 199815655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 12 + 3. Suppose 7*o - 400 = -p*o. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591463238 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1017 is divided by 112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**2 + 0 + 1\/2*z**3 - 14*z. Let u(r) = -21*r - 10*r + 37*r. Calculate u(c(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 149. Let a be t(-29). Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142 - -293. Let q = u - 154. Let o be 1*(2 + -5 + -1). Put 2\/9, o, -5, q in increasing order.\nAnswer: -5, o, q, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*o**4 - 8254918*o**3 + 44137996*o**2 wrt o?\nAnswer: 720*o - 49529508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2069991239 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001587417 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -5bb08?\nAnswer: -5bb09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let g be 4\/(-8) - 2\/u. Let h be (10\/15)\/(g\/3). Is -5\/7 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 203103323233?\nAnswer: 203103323301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 - ((4 - 1) + -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(-10) + (-66)\/110?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1213 (c) 3 (d) 0.4 (e) -3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1618436 divided by -5?\nAnswer: -1618436\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (5 - (1 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*q - 5, -n - q + 2*q + 10 = 0. Suppose n*s - 4*c + 61 = 0, 9*c - 4*c = -s - 18. What is the units digit of 118\/3 + s\/39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6252115608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 355*m**2 - 34*m + 17. List the prime factors of y(6).\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = -6. Let l be j\/8 - 25\/(-2). Suppose 0*f - 2*f = 3*s - l, f - 3 = -5*s. Calculate the least common multiple of f and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -5\/218, 0.9, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5798 - 5798.000007163. Round h to seven dps.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 15 + (4 - 8)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*y = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t - 8. Is k(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/63)\/((-20)\/(-14)). Which is the nearest to k? (a) -4 (b) 2\/3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssessswsiszs. What is prob of picking 3 s and 1 e?\nAnswer: 56\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 9. Let o(p) = 5*p - 41. Calculate -o(v) - 4*r(v).\nAnswer: -v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 8.99. Let n = q + 0.33. Let g = n + -0.32034. Round g to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23424344 + 2?\nAnswer: -23424342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*c = -10, 3*k = 2*k - 3*c - 31. Let l be 4\/(-1 - 23\/k). Let z = -51 + l. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -117. Calculate the remainder when 9 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/5 - 198*x**4\/5 - 5536*x**3\/5 - 31064*x**2\/5 - 30912*x\/5 + 67712\/5 = 0?\nAnswer: -46, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((31416\/(-63))\/(-17))\/((-56)\/(-42))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(27)\/(2*sqrt(9)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 29699216?\nAnswer: 118796864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -d - 2*d**4 + 2*d**3 - 3 - 5*d**3 + 4*d**3 + 2*d**3 in the form s*d**4 + p + k*d**3 + n*d + a*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1423488 by -4224.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 28*z - 90. Let p be j(3). What is the third smallest value in p, -9, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 30 = -4*b, -2*f + 0*f = b - 12. Let j = b - 2. Solve 0 = q - u + 1, q + 7 = -4*u - j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 99, 83, 13.\nAnswer: 2, 13, 83, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 152*u + 4. Let s be n(10). Suppose 0 = 5*i - 8476 - s. Round i to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 2 - 2)*(14*g + 23*g + 4*g - 9*g).\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 + 1258 - 1258.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a**5*w - 3*a**4 - 16*a**3*w + 2*a**2 - 2728*w wrt a.\nAnswer: -780*a**2*w - 72*a - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 2*w**3 + 0*w**3 + w**3 + 3*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -813, -1834, -3263?\nAnswer: -5100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7685\/56 + 825\/7. Let n = 31\/4 + i. Calculate the common denominator of n and (-6)\/(-9) - 355\/42.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Let i(p) = -p - p**2 - x*p + 6*p + p. Suppose 2*z = -z - 6. Give i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9*g**3 + 81*g**2 + 5*g - 76. What is u(9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 - 39114*b**3 + 78240*b**2.\nAnswer: -3*b**2*(b - 2)*(b + 13040)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r**3 + 4*r**2 - 15*r + 16. Let h be l(5). Suppose -h = -3*q + 3*s, -1180 = -0*q - 2*q - 5*s. What are the prime factors of q?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 34*s**2 - 34*s - 60. Let r be a(26). Suppose -10*w - 154 = -r. List the prime factors of w.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373070?\nAnswer: 2, 5, 37307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**2)\/g*g)\/g*g)**(18\/7)*(g*g**(-6))\/(g\/(g**(-4\/7)*g)) assuming g is positive.\nAnswer: g**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 20. Let b = c + 17. Let d = b + 18. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 take away 318.107?\nAnswer: -318.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -403166682.22781?\nAnswer: -403166680.22781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/((25\/(-45))\/(-5)). What is the first derivative of 12*r**2 + j*r - 6*r - 21 wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, j: 6, x: 8}. What is prob of picking 1 x and 1 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 21*l - 34 + 17*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 4, r: 3, m: 1, d: 2}. Give prob of sequence rd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 + 133*z - 856*z**3 - 49*z + 6 + 104*z - 6 wrt z?\nAnswer: -5136*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 25\/14 (b) -14 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -147240414 divided by -9?\nAnswer: 16360046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22965 and 333?\nAnswer: 7647345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((sqrt(544) - (sqrt(544)*1 - sqrt(544)))*-6)\/((sqrt(48)\/((sqrt(6) - sqrt(6)*1) + sqrt(6)))\/sqrt(4)))*-6)**2.\nAnswer: -1728*sqrt(17) + 352548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 904, 914, 926, 940, 956?\n\"Answer: w**2 + 7*w + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -286*n + 936. Calculate j(3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -428\/433 + 3872\/2165. Let q = -7 - -13. Sort 2\/13, 0.4, q, j in decreasing order.\nAnswer: q, j, 0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 19. Let h(j) = j + 3*j**3 + 2 + 2 - c. Let z be h(1). Solve 0 = -z*o - 0 + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nen when three letters picked without replacement from ezkzn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 - -5?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 4580 + 2289 + 2285. Let p(f) = -9*f + 29. Let y(g) = -3*i(g) - p(g). Let t(k) = 4*k**2. Give t(y(l)).\nAnswer: 144*l**2 - 528*l + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.114 + -0.1140295. Round f to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 33, 5, -21?\n\"Answer: m**2 - 33*m + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 5*q**2 + 6*q - 1. Determine i(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 1\/8*p**4 - 529\/2 + 23\/2*p**3 - 23\/2*p + 2115\/8*p**2 = 0.\nAnswer: -46, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3567*p - 7828*p - 10774*p - 25659*p.\nAnswer: -40694*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001273715 rounded to 7 dps?\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Let t = 33 + -19. Suppose 2*n + 4 = t. Solve n*k + 4*p + s = p, -5*k = 5*p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 196*h**2 + 5*h - 49. Is v(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y + 4*y - 6*y)*(2 + 1 - 5)*(4 - 2 - 6)*(-4*y + 5*y + 3*y) to n*y + f*y**2 + v and give f.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2744*r**4 + 140*r**2 - 19*r.\nAnswer: -65856*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) + ((-3828)\/(-2639))\/(-3). Let j = -9 - -15. Let i = j - 5.5. Put o, i, -6\/5 in increasing order.\nAnswer: -6\/5, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4598, 4613, 4638, 4673, 4718, 4773?\nAnswer: 4838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1221 and 8888.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + 3*(sqrt(112) - (sqrt(112) + -3)**2))*-3.\nAnswer: -252*sqrt(7) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 1, 5 in ascending order.\nAnswer: 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*b = -272*b - 371*b - 5000 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*u*w*z**2 + u*w*z + 702*u*w - 1895*u*z**4 + 3*u - 15023*w*z**3 + 4 wrt z.\nAnswer: -45480*u*z - 90138*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8529.46 - 37230716\nAnswer: -37222186.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**5\/20 + 5*g**4\/12 - g**3 + 5*g**2\/2 - g. Let o be r(-6). Solve -1 = -o*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -341870, -341871, -341872, -341873, -341874?\nAnswer: -341875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 14*d + 84 = 0, 39*d + 8 = z + 70*d - 34*d for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = -y, 3 = -3*u - 6. Calculate the greatest common divisor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/12*(-1)\/4*-2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2. Let d(u) = -6*u. Let z be d(1). Let s be z\/(-9) + 3\/9. Let t(l) = -2*l + 0 + 1 - s. Determine t(a(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1233 and 2284886.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 - (0 + -50) - 11 - 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2. Let g(n) = -12*n**2 + 3*n - 6. Let o(z) = 132*z**2 - 32*z + 64. Let s(l) = -32*g(l) - 3*o(l). What is 2*s(b) - 9*y(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 3 - 1)*12. Let r(i) = 23*i - 7. Let t be r(5). Calculate the greatest common factor of o and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/44 and (-2)\/(-264)*(-3449)\/(-3) - 5 - 4?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231 + 2*i - i + 64 + 47 to the form h + b*i and give h.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 - (-5 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 75372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 15*o = 70 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, k: 2, s: 7, u: 2}. Give prob of sequence uuss.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290 and 18423874.\nAnswer: 92119370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -32 - 2\/((42\/12)\/7). Let y be ((-29)\/(-435))\/((-3)\/a). Factor -8\/5 - y*b + 12\/5*b**2.\nAnswer: 4*(b - 1)*(3*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 27762.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -186463*t - 19951539. Give g(-107).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40.5 + 41. Which is the third biggest value? (a) -1\/9 (b) -16 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-6)*(-3)\/(-36). Let v be (-28)\/88 - (-1)\/2. What is the closest to 1 in v, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 214*x + 222. Let p be n(12). Suppose 54*o = 44*o + p. What are the prime factors of o?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 - 3*p**2 - 2*p**2 + 5*p + 0*p**2 - 2. Let q be r(2). What is the second derivative of -2 + 3*i + 33*i**4 - 32*i**q + 2 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0*s**5 + 11\/30*s**6 + 1\/4*s**4 + 1\/3*s**3 - 103\/2*s**2 - 3 - 17*s. Find the second derivative of g(a) wrt a.\nAnswer: 132*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633 divided by -4?\nAnswer: -1633\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -5?\nAnswer: -104\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 565207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 448816513746.\nAnswer: 448816513745.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 40248.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + a + 3*a)*(-2 + 5 - 2)*(3 + 0 + 2)*(-2*a**3 + 0*a**3 + 3*a**3) in the form f*a**4 + v + n*a + x*a**2 + u*a**3 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - v**2 - v + 2. Let z be k(0). Let i(c) = 5*c - 1 - 1 + c - c**z. Let n be (2 + (-6 - 0))*(-9)\/6. Give i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/176 and 115\/6201492.\nAnswer: 24805968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1931826?\nAnswer: 2, 3, 13, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241325128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*(sqrt(76)*-1 + sqrt(76))*5)\/(-4*-2*((sqrt(144) - sqrt(144)*-2) + sqrt(144))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/(-27) - (-4)\/(-18). Let g(w) = -w**3 + 8*w**2 - 7*w + 2. Let j be g(7). Solve -l = -j*l - o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 842831 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14460*o = -j - 14458*o - 29 - 1, 10*o + 42 + 0 = -j for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + (sqrt(2299) + -2)*-4 + (sqrt(38)\/sqrt(2))**2 + -1 + -2 + -2.\nAnswer: -33*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4025 and 285292.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 10*h**2 + 2. Let s be v(10). Suppose -s*k - 4*x + 58 = -k, 3*k - 202 = 2*x. Calculate the lowest common multiple of 12 and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12 - 11 + 24*x - 22*x. Let q(z) = -z - 1. Determine 2*l(j) + 3*q(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4290681 to 2 decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4535950439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9) + (-993005)\/15. What is t rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189659 + 3*m + 94764 - m + 94874.\nAnswer: 2*m - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -28060134 to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3\/4 - 4489397*l**2\/2 - 35915128*l - 143660448 = 0.\nAnswer: -8978778, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -131778*l - 15286231. Calculate j(-116).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519 is divided by (12\/(-9))\/(4 - (-242)\/(-60))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -845, -2925, -6393, -11249, -17493?\nAnswer: -25125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/5)*u**(-2\/19))\/((u*(u\/(u*u**(-15)))\/u)\/(u\/u**(-1\/6))) assuming u is positive.\nAnswer: u**(-8287\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21474 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -1\/6*m**4 + 2\/15*m**3 + 0 - 2*m + 0*m**2. Suppose i(h) = 0. What is h?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2422899.\nAnswer: 5\/2422899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 + 7319. What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17887*f**3*v**4 - f**3*v**2 - 6*f**3*v + 695*f**2*v**2 + 2*f**2*v - 2*f*v**6 wrt v.\nAnswer: -429288*f**3*v - 240*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 187. Let i = -90 + h. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51501c + -1?\nAnswer: 51501b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -33*r - 162. Let l be n(-5). Let q(m) be the first derivative of -1\/24*m**4 - 3 - 1\/18*m**l + 0*m**2 + 0*m. Factor q(k).\nAnswer: -k**2*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 293*o**5 + 2*o**4 - 3*o - 33?\nAnswer: 5860*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*a + 3961 = -400 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*f = 127, f = 3*i + 2*i - 343. Let r be (5 - 7)*(-17)\/2. Calculate the highest common divisor of i and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1958959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 x when four letters picked without replacement from yyxyxxyxyyyyx?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/((-3*sqrt(3) - sqrt(3)) + sqrt(3)))\/(-2*sqrt(6)*-4) + 4)**2.\nAnswer: -sqrt(3)\/3 + 3073\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 9*f**2 + 2*f + 11. Calculate the remainder when m(9) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-3)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 234?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 5999.2\nAnswer: 5999.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**7\/399 + 7*t**6\/285 + 3*t**5\/38 + 13*t**4\/114 + 4*t**3\/57 - t + 10. Solve v(z) = 0 for z.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*m + 15*m + 27*m + 8 as s*m + q and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**6\/120 - o**5\/15 + o**3\/2 + 11*o**2 - 3. Let h be a(-4). Solve 6*t = h*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 483 + -273. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95014 at most as big as -397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25, 14, 1, -8, -7?\n\"Answer: q**3 - 7*q**2 + 3*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:09 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 6 = -f, -2*d = -0*d - 8. Suppose 60*w - 2 = 58*w. Let u = 84 + -81. Sort f, w, u in increasing order.\nAnswer: w, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27646 - 27645.9985813. What is l rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24950 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 16. Let h(x) = -x**3 + 5*x**2 + 13*x - 36. Let w be h(6). Let v(p) = -1 + 4*p - p**3 + 0*p**3 - 4*p**2 - w*p + 4. What is v(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 20 = -q. Suppose 16 = -9*x + 43. Calculate the remainder when q is divided by ((-4)\/3)\/(4\/(-18))*x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o**3 + 3*o**2 - 3*o + 3. What is s(2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75327201.\nAnswer: 3, 241, 34729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(170))\/sqrt(10) + -4 - (4 + 3 + (-3 + sqrt(17)*2 - sqrt(17))).\nAnswer: -13*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = -2*a, n = 2780*a - 2785*a - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 770 - 1219. Let l = k - -448.72. Let z = -0.1 - 0.1. Which is bigger: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g - g)*(-g - 3*g - 4*g + (2*g - 3 + 3)*(0 + 1 + 1)) + 2*g - 2*g + 3*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 - -207. Let v be (6\/(-48))\/((-4)\/z)*5. Solve -c + 0*o + 2*o + 8 = 0, 0 = -v*c - 4*o - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 29838153.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14239 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - x + 4*x + (-35*x + 93*x + 199*x)*(-13 + 5 - 12) to w*x + n and give w.\nAnswer: -5139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 7*n + 4. Let j be y(6). Suppose 13*k = 8*k - j. List the prime factors of -2 + 53 + (-2)\/k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcm when three letters picked without replacement from cccmcmcmcmmccc?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -32999*g - 1. List the prime factors of v(-2).\nAnswer: 3, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-1 + 1 - -2 - (30 - 30)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1020 and 21766800?\nAnswer: 21766800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26680, 26768, 26856, 26944?\n\"Answer: 88*s + 26592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + 216*z**3 - 17784*z**2 - 1317792*z - 2562768 = 0 for z.\nAnswer: -74, -2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1378678.3 + -1.742\nAnswer: 1378676.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12757483709 and -148.\nAnswer: -12757483857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*q + q. Let p(t) = t - 2. Let v be p(2). Let m(a) = -a + 2. Let y be m(v). Do y and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14368 and 69590.\nAnswer: -999869120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let c be r(-3). Suppose 0 = -4*m + c*m + 4. Let t = 127 + -91. Calculate the highest common divisor of t and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 28*g - 1349*g - 1 + 41*g.\nAnswer: -1280*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 4ea2?\nAnswer: 4ea0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 = 12. Sort v, -7, -4 in descending order.\nAnswer: v, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3749*m**4 - 5 + 6*m**3 - 3750*m**4 + 5 + 31*m**2 to w*m**4 + q*m**2 + l + j*m**3 + b*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-13 - -5)) + (5 - 12) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305 - 4?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*i, -2*t = t + 2*i - 16. Suppose t*c = -2*c - 8. Let o be (-56)\/115 + 2\/5. Put -4, c, o in decreasing order.\nAnswer: o, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b302 - 951?\nAnswer: -1bc53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/6)\/(2\/6). Suppose 3*u - u = z. Let f(n) = -4*n**2 + u*n**2 + n**2. Let p(v) = -3*v**2. Calculate f(p(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*-3 + (sqrt(12) - (sqrt(1728) + 1*sqrt(1728))))\/(1*sqrt(5400) + 3*sqrt(162)\/sqrt(3)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + 0.1. Let v(w) = -w - 5. Let c be v(-9). Suppose -2*r + u - 10 = -0*u, u = c. Sort r, -2\/9, p in decreasing order.\nAnswer: p, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**2 + 9*a. Let z = 5 + -3. Let l(g) = 4*g + 0*g**z + 0*g**2 + 3*g**2. Suppose 5*f + 2*u = 45, -2*f - 2*u + 18 = -0. Calculate f*l(y) - 4*o(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14.76 (b) -0.4 (c) 3 (d) 0.7 (e) -1 (f) 0 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - -3) + -2 - 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**4\/4 - n**3 + 2. Let j be l(-2). Let p = -17295 + 17308. Solve 5*t + p = -j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1273436771.7111 and -2?\nAnswer: 1273436773.7111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/(3*(-4)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4076 and -19758.66532.\nAnswer: -23834.66532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27664254221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.6 + 19. Let f = 1106 - 1109. Which is the nearest to -1\/2? (a) h (b) 1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(1\/2))\/s*s**(-6))\/(s**(1\/5))**(-17) assuming s is positive.\nAnswer: s**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2563*p**2 - 792*p**2 - p**3 - 696*p**2 - 626*p**2 - 708*p**2.\nAnswer: -p**3 - 259*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 37*p**2 + 2*p + 47. What is the units digit of a(37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l = -66*l + 168 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(-1062*y - 1130*y + 2243*y - 1) + 39 - 39 + 21*y + 0*y - 4*y + y to z*y + s and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 62.0074. Round w to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13017 - 49611 = -9*c. Does 32 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -382, -427, -510, -637, -814, -1047, -1342, -1705?\nAnswer: -2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 286 - 283. Solve 6*n - 3 = y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 + 3*l - 5. Let b be f(-4). Let k be (-2 + (-3)\/b)*3. Suppose -k*z + 98 = o, 0 = 4*z - o - 2*o - 122. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (31 - (8 - (9 - 10)))) + 7 + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**3 + n**2 + 28560409*n + 50909647 wrt n.\nAnswer: -3*n**2 + 2*n + 28560409","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.207977um?\nAnswer: 0.000007207977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1) - ((-304)\/(-171))\/((-110)\/(-990))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r**4\/4 + 17083*r**3\/2 + 544729*r**2\/4 - 6528427*r\/2 + 718562 = 0.\nAnswer: -29, 2\/9, 13, 3812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641908 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:44 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -13 + 10 + (0 - 2) - -509?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -25*m**2 + 29*m + 27. Let k(v) = 12*v**2 - 14*v - 14. Suppose -17*a = -2*a - 60. Let h(z) = a*o(z) + 10*k(z). Find g such that h(g) = 0.\nAnswer: -4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 7*z + 2*g = -6, -2*z - 9 = 3*g. What is the second biggest value in z, -3\/4, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -582 divided by -97?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21253*k**2 + 10627*k**2 + k - k + 10627*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 140. Let b be i(0). Suppose 20*v - 6*v - 280 = 0. What is the greatest common factor of v and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 12?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 210?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3033669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3221.36 times 7\nAnswer: 22549.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-3\/2))\/v*v**(6\/23)\/v)**(1\/2) assuming v is positive.\nAnswer: v**(81\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 7\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -2*k**3\/3 - 36. Let j(u) = 36*u**2. Determine n(j(t)).\nAnswer: -2592*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b**(3\/7)*b)*b)\/b)\/b**(-10))\/(b**(-1))**14 assuming b is positive.\nAnswer: b**(172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 4*m**3 + 7 - 5)*((-2*m + 0*m + m)*(-2 - 5 + 4) + m - 4 + 4 + 2*m + m - m).\nAnswer: 24*m**4 + 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/14)\/(156\/(-364)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 31 in decreasing order.\nAnswer: 31, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*1 - sqrt(17) - (-1 + sqrt(1377)))*3 + 2.\nAnswer: -15*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 13. Let z(t) = 2*t - 60. Let s(u) = 7*u - 168. Let k(v) = -s(v) + 3*z(v). Give -6*k(p) - 4*r(p).\nAnswer: 2*p + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16159 - 9420. Does 293 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*f**2*n**3*r**2*w**3 + 9*f**2*n*r**3*w**2 - 2*f**2*n + 2*f*n**3*r**3 - 2*f*n**2*w**3 + 4*n*r**2*w**3 wrt n.\nAnswer: 690*f**2*r**2*w**3 + 12*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 46*v - 2622. Let j be q(100). Calculate the highest common factor of 602 and j.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 64. Let h(u) = -4*u**2 - 7 + 6 + u**2 + s*u + 7*u**2 - u**3. Let m be h(5). Solve -2*z + m = k + 17, 0 = -3*z + 4*k + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136 + 748 = -40*r - 708 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -311\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5 + u**2 - 4*u + 0 - u**3 - u + 6*u. Let v be z(5). Round v to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Let h = p + 2. Let s = -2 + 3. Which is the closest to s? (a) 0.4 (b) -1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 6) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 10. Let n be o(7). Suppose n*z + 9 = 2*r + 85, 5*z - 2*r = 132. Let w = z + -15. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5512 - 5514. Let a be ((-44)\/6)\/((-6)\/9). What is the nearest to 2\/5 in j, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.31796 centuries to years.\nAnswer: 5331.796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15226, 15213, 15190, 15151, 15090, 15001, 14878?\n\"Answer: -g**3 + g**2 - 9*g + 15235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105062 and 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 8 + (3 - (-3 - -11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 2*n**3 - 2*n**3 - 3 - 3*n**3.\nAnswer: -3*n**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -4, 2, 0.\nAnswer: -34, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 = -5*c. Is (636\/(-18))\/(2\/c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2058879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/(1\/6)*(-38)\/(-12) and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 12. Let a be x(7). Suppose 0 = 4*t + 1 - a. Let s = 24 - t. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 3. Let g be (-28)\/35 - (-38)\/10. Suppose -5*a - 18 = -g. Calculate b(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90823?\nAnswer: 90823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 6) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -41, -66?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2\/(-10)*35. Is 15 a factor of (-4)\/f + (-3536)\/(-119)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 10*m + 26. Let i be o(-12). What is the least common multiple of 6 and 56\/7 + -2 + i\/2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 10. Suppose -v*b + 60 = -4. Calculate the highest common divisor of 48 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (2 + 0 + 1). Let y be (j - 22)*(-2)\/(-4). Let f = y - -18. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 3801642.\nAnswer: -19008210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000029810531 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 318011 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1024 - -232?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/3 (b) -25.86 (c) -0.1 (d) 1.783\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 97, 142, 187, 232?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v + 33. Let b be z(-12). What is the tens digit of 592\/12 - (b\/(-9) - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10 and -9\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(15\/2))\/(f\/(f\/(f**(1\/39)\/f))) assuming f is positive.\nAnswer: f**(739\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 8:56 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 324083132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -38, -23, 8, 61, 142, 257?\n\"Answer: y**3 - y**2 + y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10343, -41480, -93385, -166064, -259523, -373768?\nAnswer: -508805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 + 4*u**3\/3 - 7*u**2\/2 + 5*u. Let a be z(6). Factor 2*r**3 + 5*r - a*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 21276*k + 276613. Give q(-13).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w**3 - w**3 + 0*w**3)*(-w + w - w) in the form c*w**2 + h*w + i*w**3 + d + p*w**4 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 3511?\nAnswer: 702.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.6 and 0.0508168.\nAnswer: -3.5491832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83, 101, 119, 137?\n\"Answer: 18*x + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2. Let a(d) = 2. Let u(s) = -s**2 + 5. Let w(j) = 5*a(j) - 2*u(j). Give z(w(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.02, 1, 25, 4, -88?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5aa + -28988?\nAnswer: -29376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(28\/(-16))\/(-7). Which is bigger: k or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-1)*1*(-8)\/100. Let j = -21.3 + 21. What is the closest to 0 in 0, i, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(5\/3)\/(z**(-1\/13)\/((z*z**(-10)*z)\/z)))**44 assuming z is positive.\nAnswer: z**(-9592\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1196\/9 - -133. Let t = -1.1 - -0.1. Which is smaller: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 2204730.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82569986800 and -0.734.\nAnswer: 82569986799.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/3, 2\/5 in increasing order.\nAnswer: -3, -4\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4*(-8)\/18. Let y = 0.0405 - 0.0405. What is the third biggest value in n, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*z**3 - 36315*z**2 - 18140*z + 54465 = 0. Calculate z.\nAnswer: -3631, -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1019, -992, -991, -1022, -1091, -1204, -1367?\n\"Answer: -p**3 - 7*p**2 + 55*p - 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -0.8. Let v = 29.035 - 28.8. Let p = 0.135 - v. Which is the closest to 2? (a) p (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -3.1. Let t = l - 2.5. Suppose 2*r = 7*r + 5. What is the nearest to r in -1, t, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*r + 51*r - 40 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 6. Suppose h*l - 11 = 9. Solve -5*j = 4*y - 36, 5*j - 8 = -y + l*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -325\/4, -1, 0.2, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 1.2. Let u = -1.1 + 0.7. Which is the smallest value? (a) t (b) 1\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + z = 14*k - 267, 0 = -5*k - z - 449. Let d = -235 - -360. Let m = d + k. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + n = 0. Suppose n = m - 5*m - 8, 4*k = 2*m + 20. Let y(h) = 5*h - 3. What is y(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 265*d - 128*d - 134*d - 8 + 4*d**4 to r*d**3 + u + q*d**2 + y*d**4 + l*d and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -3 + (3 - 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -270, -427, -596?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5524\/1320 - 8\/(-44) and -67\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 36702507 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 165*h**3 + 163*h**3 + 165*h**3 - 495*h**3 + 5*h + 3*h**4 as o + z*h**4 + a*h + b*h**3 + v*h**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7 = 5*s - 35, -4*t = -5*s + 44. Sort t, -3, 3.\nAnswer: t, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f - 13*f = -1326. Calculate the greatest common factor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 greater than or equal to 39496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10*b - 1. Let o be h(-1). Suppose -2*c - 3*y = 10, y + o = -2*c + 3. Let j be (3\/1)\/(-1 - c). Solve j = -n - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3933\/92)\/((-63)\/(-112)*44\/33)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1025, 104.\nAnswer: -1025, -2, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -15, -0.22, 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 8*c**2 + c + 4. Suppose w = -2*y - 11, 3*y + 12 = w - 2. What is the remainder when m(y) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/15 (b) 6 (c) 1647\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 + 3.7. Suppose 3 + 7 = -2*d + 2*m, -d - 4*m = -15. What is the biggest value in g, d, -0.1, 0.06?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwljwlwwwwwlww. Give prob of picking 1 l and 1 w.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1083900 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 0 + -9)\/(-1). Suppose 0 = -27*u + 30*u + g. What is the smallest value in -1\/4, 1\/6, u, -2\/105?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 132792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384676 and 6256.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6789922369 to the power of 1\/2, to the nearest integer?\nAnswer: 82401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -2.4567.\nAnswer: -9.8268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twwt when four letters picked without replacement from {t: 3, w: 13}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 85*n - 84*n. Suppose -2*g + 130 = n*g. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9974 is divided by (930\/93 - (-1 - -140))*12\/(-9).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*c**2\/7 + 3056*c\/7 - 72962\/7.\nAnswer: -2*(4*c - 191)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13507.4589 rounded to 0 dps?\nAnswer: -13507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 78947767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 346\/(-315) - (-10576)\/9254\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u - 62. Let i be z(18). Let m = i + -62. Let d(k) = 5*k**m + k**2 - k - 17*k**3 + 16*k**3. Determine d(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (110\/(-33))\/(1 - (-10)\/(-9)). Suppose 0 = -c + 6*c - n. Let j(v) = 3*v**2 + 2*v**2 - 7*v**2 - c*v**2. Let u(s) = -3*s. Determine j(u(d)).\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 953799 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19265943*a = 19266012*a. Factor 6*t - 1\/2*t**4 - 6*t**3 + 1\/2*t**2 + a.\nAnswer: -t*(t - 1)*(t + 1)*(t + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 617 + -646. Sort 1, -5, w, 3 in descending order.\nAnswer: 3, 1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3 - 8 + 0*f**2 + 2*f**2 - f**2 - 7*f. Let u be k(8). Let l(z) = 2*z**3 - 5*z**2 + 3*z. Calculate l(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbp when three letters picked without replacement from {b: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 26\/3, -5, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1514 and 398.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916, -1838, -2764, -3694, -4628, -5566?\nAnswer: -6508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from {j: 10, h: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 79 - 80 + l.\nAnswer: 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**3 - 155*u**2 + 170*u + 320 = 0. Calculate u.\nAnswer: -32, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11600 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(640)*1 - 2*sqrt(160))\/(sqrt(48)\/(sqrt(6) + sqrt(294)) - sqrt(24)\/sqrt(108)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 311580052 to the power of 1\/2, to the nearest integer?\nAnswer: 17652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -t - 14, -9 = 2*t + 4*x - 29. Let p = 47\/9 - 5. Put 0.2, t, p in descending order.\nAnswer: t, p, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4545 = -6*t + 2463. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*w, 2 = -3*q - 3*w - 1. Solve q*z = -3*h + 12, -3*z = -5*h + 3 + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/5*(-30)\/9. Suppose 0 = -7*m + m + 2880. Let a = -477 + m. Put b, a, -1 in ascending order.\nAnswer: b, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + m. Let n(q) = -44*q**2 - 26*q - 26. Let r(i) = 5*i**2 + 3*i + 3. Let h(o) = -6*n(o) - 52*r(o). Determine g(h(l)).\nAnswer: 16*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -1\/45*w**3 - 30*w + 0*w**2 - 2\/75*w**5 + 0 - 1\/18*w**4. Factor j(n).\nAnswer: -2*n*(n + 1)*(4*n + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.047 + 0.337. Let a = u - 0.23. Let d = a - 0.26. Put 4, d, -2\/9 in increasing order.\nAnswer: -2\/9, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130404342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1188 - -1139) + (-1 + 3 - (-1 - -1))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -262.7 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**2 - 6*a + 292. Does 3 divide b(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*v**2 + 6*l**2*v - 39579*l*v**2 - 511*v wrt v?\nAnswer: 4*l**2 - 79158*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/2223 + -166901\/97812. What is the common denominator of r and 23\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -2 + 6 + 0 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*x - 8. Let z = -41635 + 41637. Calculate the lowest common multiple of x and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 132.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(-1 + sqrt(320) + -3 + (sqrt(320) - (sqrt(320) + -3 + sqrt(320) + 0)))*3)**2.\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c = -l - 155, -5*l + 16*l - 2*c = 7*l - 3*c - 118 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174653 is divided by 313?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Let w = 2.4 + -2. Let z(g) = -g - 3. Let l be z(-6). What is the biggest value in l, v, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2, 0.118, -3\/5?\nAnswer: 0.118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 16*c + 4. What is the hundreds digit of v(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 9\/4, 2\/7, 2, 25?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -12. Suppose -4*v = -x*d - 2*v + 1239, -3*d = -v - 1236. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x**2 + 167*x + 26. Let i be k(-11). Which is the nearest to -52\/3? (a) -0.07 (b) -0.01 (c) -1\/5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 7 + (-4)\/(2 - -2). Let p(c) = -8*c**2 - 3*c. Let h(u) = 40*u**2 + 16*u. Determine b*h(d) + 16*p(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 290881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06193 rounded to 3 decimal places?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1012 divide 11143132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 5*b**2 + 8*b - 9. Let v be ((-6)\/(-3) - 1)*-23. Let z = v + 16. Is g(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76706, 76553, 76400, 76247, 76094, 75941?\nAnswer: 75788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 58*m**2 + 46*m - 27. Does 30 divide q(-57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-30) + (-9)\/(-2). Let u(t) = 2 + 0 - 6 - t**3 + 5*t**2. Give u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -7 in ascending order.\nAnswer: -7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, f: 5, s: 2}. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*a = -3*a + 365, a = -4. Let k = d - -149. What is the smallest common multiple of k and 12?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 11*w. Let c be f(11). Let s = 2\/923 + 811\/51688. Is c less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 4*m = -11*l - 3120, m = 3*l + 2320. Let b = 595 + l. Which is greater: -177 or b?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-176))\/((-5)\/(5\/13)).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 3*l**2 - 4*l - 1. Let r be (-20)\/(-6) - (-45)\/(-135). What is h(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56370*v**2 + 28180*v**2 + 28188*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*((5*sqrt(176) - sqrt(55)\/sqrt(5)*-3)**2 - (3*sqrt(99) + -2*(sqrt(11) + 0))).\nAnswer: -35*sqrt(11) + 29095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 23. Let j be (1\/(-3))\/(1\/m). Let b be 18\/4 + j\/6. Solve b*s - 5*r + 8 + 2 = 0, -5*s = 5*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 69. Suppose 7*f + 5 = -b. Let s be f - -1 - ((-291)\/3 - -5). What is the greatest common divisor of 36 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*(y**(-2\/29)*y)\/y)**(11\/2) assuming y is positive.\nAnswer: y**(297\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, e: 7}. Give prob of sequence eee.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239 + 66*w + 256 - 495 + 47*w.\nAnswer: 113*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1043252 and 1786?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 2*t - 8*t + t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -34*t**2 + 10*t - 3. Let h(z) = -4*z. Calculate d(h(s)).\nAnswer: -544*s**2 - 40*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14923 + -4963. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46893628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.785342238 from -0.02.\nAnswer: -0.805342238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/1*-1 - (-5 - -5). Suppose 4*p + i = 2*p + 224, -k*p + 3*i = -571. Suppose 29 = u - p. Calculate the remainder when u is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338422 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 272 - 212. What is the remainder when p is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197172 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - u. Let f(l) = -12*l**2 + 4*l. Calculate f(z) + 4*w(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 136 times -5.74\nAnswer: -780.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(4\/5))\/c**(-2\/21)*(c*c**(-4\/5))\/c**8 assuming c is positive.\nAnswer: c**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:40 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v = 8. List the prime factors of 19 + (-3)\/(v + -3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qiiiiq. Give prob of picking 2 q and 2 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*s = 2*j + 9, -3*j - 4*s = 10. Let w be -1 - j - 1*-3. Is w greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssms when four letters picked without replacement from {s: 6, m: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a - 98*a - 2*a - 45*a - 58*a.\nAnswer: -234*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a**2. Let x(d) = 4*d**2. Give x(z(w)).\nAnswer: 196*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -89. Let b = -8 - q. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 1:09 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/1*73*55\/12045?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 + 13380*g + 26748 = 0. Calculate g.\nAnswer: -4458, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 40.9. Round k to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.323084 months in millennia?\nAnswer: 0.001110257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 8) to base 6\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-84)\/10*(-1 + 6). Let v = 43 + s. Suppose -f = 2*h - 7, 3*f - v = -3*h + 2. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9957434.\nAnswer: 2, 137, 36341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 2*d + 0*d)*(2 + 2 - 1) - d - d - 2*d + (2*d + 0*d - d)*(-26 + 42 + 9) as c + g*d and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-15) - (-11)\/(-5). Let p(f) = f**2 + 2*f + 1. What is the remainder when 0 + 16 + (-2)\/u is divided by p(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8, 82, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwzgzwwwn. Give prob of sequence wn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -2, 5, -3 in ascending order.\nAnswer: -34, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 0 - 3 + 1. Let n be m(-4). Solve 3*z + 2 = n*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*w + 300 = 0, -13*w - 180 = -3*k - 17*w. What is the remainder when 657 is divided by k?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m + 3. Suppose -5 - 79 = -m*u. Calculate the remainder when 81 is divided by u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -3 + -9 - (-2 + 7) - -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a (base 12) in base 5?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + 12. Let p = c + -38. Suppose -p*f + 5*f - 24 = 0. Calculate the remainder when f is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*b**6*y - 689013*b**4*y**2 + 1256*b**2*y**2 + b**2*y - 1517*y**2 + 1 wrt b?\nAnswer: -2520*b**3*y - 16536312*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:37 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18203 - 3978. Calculate the greatest common divisor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2 - 5385*v - 2119788 = 0. Calculate v.\nAnswer: -1212, -583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 7*p**2 + 5*p - 10. Let w = -1 + 56. Suppose 0 = -3*j - 0*s + 2*s + 13, 5*j + 5*s = w. What are the prime factors of m(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3065 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 134 + -58. Suppose 4*f = -16 + n. Let o = 65 + -36. Calculate the remainder when o is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - v**2 - 3*v**2 + (4*v - 6*v + 0*v)*(7 + 21*v - 42*v + 23*v).\nAnswer: -9*v**2 - 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3894302 is divided by 486745.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -5*w**6\/48 - w**5\/24 + 25*w**4\/48 + 5*w**3\/12 + 8*w**2. Solve s(h) = 0.\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419920333 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513694.\nAnswer: 2, 419, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.95 from 1.591214.\nAnswer: -1.358786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238135553774625 + -0.5.\nAnswer: 238135553774624.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1160118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*x + 20 - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 17129040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 0) + (39 - 61)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n + 2 = -2*j, 4*j + 4*n - 4 = 0. Suppose j = 3*p - 6. Suppose 0*o - p = -o. Solve 1 = -4*l - 4*m - o, -2*l = 4*m - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3775229231.\nAnswer: 3775229231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.046 - 3.046. What is the closest to n in -0.4, -0.3, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5460 and 143?\nAnswer: 60060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, u: 2, f: 2, v: 6, x: 3}. What is prob of picking 2 w and 1 u?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:55 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13*(-32)\/42 + (-4)\/(-42). Suppose 3*b - 29 = j + 66, 4*b - 148 = -4*j. Suppose b = -3*w + 363. Calculate the greatest common divisor of c and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 3 - 28*j + 24*j - j**2. Let t(n) = n**3 - 10*n**2 + 7*n - 9. Let w be t(9). Let h be (-29)\/(-9) - (-6)\/w. What is c(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 900 and 450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 7, -332, 22 in decreasing order.\nAnswer: 22, 7, 3, 0, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-20)*-12 - 8\/20. Calculate the highest common factor of d and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 105136*p + 9987921. Give h(-95).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21971045 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 15*p**2 + 155*p - 14. Determine w(-21).\nAnswer: -623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let m(n) = 3*n. Let y(p) be the third derivative of -13*p**4\/24 - 37*p**3\/6 + 11*p**2. Let l be y(-3). What is l*u(x) - m(x)?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-1)\/18). Let p = q - -14. Let g(w) = 4*w**2 + w. Let c be g(-1). Solve -2*m = 0, x - 4*m + p*m - c = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171 divided by 57\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 252 times -11995.53\nAnswer: -3022873.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26885 and 10.\nAnswer: 53770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 0.5, -3\/4, -3\/5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppyp when four letters picked without replacement from pyppypppyypyy?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from ffffeeffefffffffefff?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 - (14 + 36 + (15 - 24))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(175)*2 + 5 - sqrt(175))*5 - (-4 + -5 + sqrt(175)*-3 + sqrt(175))) + 3)**2.\nAnswer: 2590*sqrt(7) + 9944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15773 - 37376?\nAnswer: -21403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:29 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18601, 37168, 55735, 74302?\n\"Answer: 18567*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*v = -v, -4*v + 9 = w. Let m = 15 - w. Find the common denominator of 43\/m - (-1 - -2) and 109\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-856 - -965) + (4 - 2 - (3 - (-7 + 2))).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 220 - 215. Suppose a*c = 5*c + 5*c. Solve -4*h - 7 = -3*q, 3*h + 6 = 2*q - c*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + o)*(-9*o - 2*o + o) + o**2 + 12*o**2 + 9*o**2.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -257, -703, -1557, -2951, -5017, -7887, -11693?\nAnswer: -16567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/((-22)\/(-495)). Let k = 0 - 0. Suppose k*w = -3*w + r. What is the highest common divisor of w and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*7\/(42\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3248\/(-70) - ((-84)\/(-15) + 348\/(-58))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-78475)\/(-90) - 2\/(-9). Let c = 865 - g. What is the common denominator of ((-230)\/20)\/((-5)\/3) and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1490 divided by 298?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1285653233 + m**2 + 2571306461 - 1285653228.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3 = q, 8 = -37572*r + 37566*r - q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v + 0 - 4*v + 2. Let s be y(-6). Let i = 111 - s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231704 = 231703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 25*u**2 + 47*u - 18. Let n be x(23). Suppose -n*h + 58505431 = 4355431. What is h rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 4*j**2 - 5*j + 2. Let o be a(5). Let f(h) = o + 47*h + 4 - 20*h. Is f(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43838, -87676, -131514, -175352, -219190?\nAnswer: -263028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 3*k**2 - 6. Let l(i) = 2*i**3 - 7*i**2 - 13. Give 3*l(o) - 7*x(o).\nAnswer: -o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 41.93. Let q be 24\/(-36)*(-2)\/(-4). What is the second smallest value in 4, q, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 + f**3 + 81*f**2 - 81*f.\nAnswer: -f*(f - 9)*(f - 1)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + 3*v)*(-v**2 + 84*v - 82*v - v**2).\nAnswer: -2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*5\/(-20)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 8*u = -3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65103 (base 11) in base 3?\nAnswer: 11210210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d**3 - 1 + 1)*(138*d + 17*d + 145*d).\nAnswer: -300*d**4 + 300*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k - 4161 + 4212 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = -4*p + 19*b + 321455, -6*p = -b - 482181. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4082667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**2 + h + 232 + 13*h**2 - 12*h**2. Is 16 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-55)*242\/(-44).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooyyzioyxxo. What is prob of picking 2 x, 1 y, and 1 o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 6505*w - 6518*w + 76, 5*w = -5*k - 260 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 + 118*j + 55. Let v be n(-29). Let r be (-1)\/2 - 11\/(-2). Sort v, r, 62 in decreasing order.\nAnswer: 62, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -10*l**5 + 84*l**4 - 192*l**3 + 64*l**2 = 0.\nAnswer: 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/60 + 17*j**4\/24 + 19*j**3\/6 + 6*j**2. Let o be c(-16). Solve -g - o*g = -12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -737?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62905 is divided by 15615.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-4))\/(6\/(-4)). Let r(w) = w - 1. Let p be r(10). Calculate the highest common factor of p and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 1058.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}