diff --git "a/data/dm_maths/full_data_1/1185_11255.jsonl" "b/data/dm_maths/full_data_1/1185_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1185_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let t(s) = -s**2. Let p(x) be the second derivative of -x**7\/630 - x**4\/3 + x. Let d(a) be the third derivative of p(a). Give t(d(j)).\nAnswer: -16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c**2 + 2*c + 2. Let l be i(-1). What are the prime factors of ((-268)\/l*-1)\/(2\/(-3))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21516589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 6. Let c be d(-6). Suppose -s + 2*s - 3 = c. Let h(w) = -s*w - w - w. Let k(q) = -2*q**2. What is h(k(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -4.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -117977, -471905, -1061783, -1887611, -2949389, -4247117?\n\"Answer: -117975*q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.3 - -46. Is -2 less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3965353273?\nAnswer: 7, 80925577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 264351 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4064 = -16*p - 0*p. List the prime factors of p.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 5*l**2 + 10*l - 5. Let w be h(5). Suppose -4 = f, -p + w = -0*p + 3*f. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - -6*sqrt(15)*1)\/sqrt(5))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -1.93.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609328 a multiple of 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144516774 to the nearest integer?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17. Let u(a) = -a**3 + a**2 - a - 2. Let x be u(l). Let f be 22\/(-5) - (x - -6). Which is smaller: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -60*u**3 - 1200*u**2 - 99*u - 1978. Determine t(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -w - 0. Let l(d) = -d**2 - 7*d. Let u be l(w). Suppose u = 3*c - 6*c. Solve c*h = 4*x - 4*h, 5*h - 10 = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*j - 5*g, -4*j - 3*g - 110 = -122. Solve j = 3*r - 4*y - 22, -3*y - 4 = 2*r - y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 5:18 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2. Let l(i) be the third derivative of i**4\/12 + 5*i**2. Determine l(k(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130*m - 1131*m + 2*c = 9, -4*m - 3*c + 3 = -2*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 6\/7, -2\/479383, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x - 4*x + 4*x)*(22*x - 5*x - 12*x) - 2*x**2 - 4*x**2 + 4*x**2)*(0 + 0 + x**2).\nAnswer: -17*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/12 + 2*v**3\/3 + 2*v**2. Suppose -40 = -f + 2. Suppose -6*o - o = -f. Determine g(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1870*p + 5635. What is t(3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 3*q**2 - 3*q**2)*(24*q - 47*q + 26*q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:21 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/13404 and 61\/8.\nAnswer: 26808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*a**4 + 61828*a**2 - 18611*a + 255.\nAnswer: 852*a**2 + 123656","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.1254908 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 845 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33784 (base 14) in base 2?\nAnswer: -11110100000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + 6 + (-216 - (-21 - 98)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*q**2 - 37*q**2 - 9*q**5 + 19*q**2 wrt q?\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8193 + 8230. Solve s*i + 168 = -19*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/2))**26)**(-1\/13)*(l\/(l*l\/l**(-4\/7)))\/(l*l**(2\/5))*(l\/((l*l**(-2\/5)*l)\/l)*l*l)**45 assuming l is positive.\nAnswer: l**(3571\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 2*v - 3 + v**3 + 2*v**3 - 4*v**3 to r*v**2 + p*v + n*v**3 + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3\/(-9)*9\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + m - 87 = -l, -3*m + 6 = 0. Let n = -15 + l. Solve -2 - 4 = -n*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7398 rounded to 0 dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15*l - 8. Let i(x) = 96*x + 20. Let u(n) = -i(n) - 3*v(n). Let z(p) = -17*p + 1. Determine 2*u(g) - 7*z(g).\nAnswer: 17*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66447852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45132 + 45131. Put -0.5, -2, 1\/6, -0.132, g in ascending order.\nAnswer: -2, g, -0.5, -0.132, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose 3*a = -2*m + 14, -3*m - 2*a = -33 + x. Let b be -5*(m\/5 - 3). Which is smaller: b or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 9042469*z + 9042484*z + 9042469*z - 27127417*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-52)\/(-2))\/2 - 1. Let t be i\/15 - 1\/(-5). Calculate the highest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 337, 322, 307, 292?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18404 - 0.18404. Let g = -0.5 - 3.5. Put g, -20, u in ascending order.\nAnswer: -20, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1112002002222?\nAnswer: -1112002010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 3*r**3 + 4*r**2 - 8*r + 13. Let v(a) = 6*a**2 + 5*a - 5. Determine 8*v(l) - 5*y(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103.2*-0.17.\nAnswer: 17.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 3*c**2 - 5*c + 1. Let l be t(3). What is the highest common divisor of l and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l - 4. Let u be k(8). Let r = u - -341\/5. Let y = -6 - -8. Which is the smallest value? (a) -1 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7024962, 14049923, 21074884, 28099845, 35124806?\n\"Answer: 7024961*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2260009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34.5 - 35. Let i = -2.3 + 2. Put s, i, 2 in descending order.\nAnswer: 2, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 11539575?\nAnswer: 11539580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f**2 + 3*f - f - 3*f**3 + 0*f**3 + f**2 to the form i*f**3 + y + j*f + t*f**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1024 divided by 4\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*b + 56*b - 10*b**2 to m*b + n*b**2 + w and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-21) - 20\/(-28). Solve 4 = s + v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/2 + 21\/(7\/1). Calculate the greatest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, and 1 q when three letters picked without replacement from {a: 2, p: 1, r: 1, l: 1, o: 3, q: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1 + 4*h**2 + 5 + 10*h - 2*h. Let g = 13 + -8. Let a(q) = -7*q**2 - 15*q - 12. Let c(v) = g*w(v) + 3*a(v). What is c(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25361518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert 227261.7 millimeters to meters.\nAnswer: 227.2617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 70538.3853?\nAnswer: -70542.3853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 103*q**3 + 5 - 48*q**3 - 54*q**3 - 294*q + 284*q + 16*q**2. Let u(w) = -w**3 - 11*w**2 + 7*w - 3. Give -5*h(i) - 7*u(i).\nAnswer: 2*i**3 - 3*i**2 + i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 - -20386 - -6*(6 + 350\/(-60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3579632 and 792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2. Let d(m) = 1813*m - 49. What is u(d(r))?\nAnswer: 3286969*r**2 - 177674*r + 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q**2 + q - 1. Let g(a) = -68*a**2 + 6*a - 6. Let f(c) = -g(c) + 6*l(c). Let x(k) = -688*k. Calculate x(f(d)).\nAnswer: -1376*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 43*b = 17*b - 59*b. Is b at least 2\/5155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 0)*(11 + -2)*-1. Let x be (-4)\/14 + 178\/(-14). Let k = i - x. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 33\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + -1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-12) - (-1271)\/1230. What is v in x*v**2 + 7\/5*v + 0 = 0?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frjrjdifl. Give prob of picking 1 i, 1 d, 1 j, and 1 l.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23058.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 + 2\/(-4). Let t(d) = -43*d**2 + 2*d - 12. Let o be t(-7). Let q be -2 + 3*o - s. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 8:57 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 179*i = 182*i + 583613, u = 4*i + 291789. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15954*g - 15954*g + 3*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*a = -1081*a + 467*a + 1210 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-693)\/44 + 21 - (-1 - 10\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 72. Suppose s*d = 16*d. Let 4\/5*j - 2\/5*j**4 + d*j**2 - 4\/5*j**3 + 2\/5 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Suppose 2*f + 1 - g = 0. Solve -w + 0 = -f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, r: 1, q: 9, y: 5, w: 1}. Give prob of picking 1 y and 1 s.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2959101, -2959116, -2959133, -2959152, -2959173, -2959196, -2959221?\nAnswer: -2959248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/7)\/(-1 - 0). Suppose p = -2*s, -2*g + s - 4 = -s. Let h = -131\/88 + -1\/88. Which is the second biggest value? (a) g (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 20?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3293.\nAnswer: 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/(b*(b\/((b*(b\/((b**(-3\/2)*b)\/b))\/b*b)\/b*b))\/b)))\/b)\/((b*b*b**18\/b*b)\/b))\/((b**(10\/7)*b)\/(b\/(b\/((b\/b**13)\/b)))))**(1\/19) assuming b is positive.\nAnswer: b**(-531\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3\/1343 (c) -1 (d) -1.012\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**5\/60 + 9*b**4\/8 + 2*b**3 + 34*b**2. List the prime factors of w(11).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*308\/99)\/((-4)\/(-4902)). What is the common denominator of (-8)\/(-14) + (-28509)\/b and 37\/14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-3)\/(-78)*2). Suppose h + 0*h + 3*a = 27, -168 = -5*h - 4*a. Is h\/(-24)*r*-4 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1164 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7444\/9 bigger than 826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -36. Let o = v + -83.000105. What is o rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/16)\/(4640\/14848)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61*-11936565.\nAnswer: 728130465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of 1\/12*g**5 + 0*g**4 - 18*g**2 + 0 + 0*g + 5\/3*g**3. What is the derivative of n(b) wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -37*v + v - 26*v - 6402 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 306 - 479. Let q be 1564\/(-9) - (-2)\/2. Let b = q - h. Is 0.2 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 45348.\nAnswer: 770916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -67\/4? (a) 7 (b) 3 (c) 1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 231 + -233. Let a be (-18)\/n - (-16 + 21). Solve 11 = -3*z - 0*z + 4*i, a*i + 24 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -22) + -15 - -6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032420376 rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1b26 (base 14) to base 7\nAnswer: 20246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 7:48 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 + 8 = -39*t - 48*t. Which is the smallest value? (a) -3\/7 (b) t (c) -1 (d) 1\/38 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -57. Let y be 1 - (0 + (-3)\/3). Solve 4 + k**y + 6*k + k**2 + x = 0 for k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -9*k**3 + 735*k**2 + 90702*k - 60792 = 0.\nAnswer: -68, 2\/3, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*r**2 - 2558454 - 2612*r = 0. Calculate r.\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 77, 173, 285, 407, 533, 657, 773?\n\"Answer: -x**3 + 14*x**2 + 61*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8117*v - 126 = -8126*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1303021569?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (-16 - -21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r = 6. Suppose r*h + 4 = 46. What is the remainder when (-39)\/12*(-40)\/5 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0281 - 0.019. Round h to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/210 - h**6\/10 - 3*h**5\/5 - 40*h**2 - 2*h. Factor z(n).\nAnswer: -n**2*(n + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d - 37. Let z = -30 + d. Find the first derivative of 6 + a - z + 3 wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**3 + 15*u**2 - 9*u - 11. Let v(g) = -5*g**3 + 7*g**2 - 4*g - 5. What is -6*c(o) + 13*v(o)?\nAnswer: o**3 + o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 29 + 11 = -2*l, 4*u + 51 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*t**5 - 48*t**3 + 10*t**2 + 1198*t**4 + 26*t**2 - 1185*t**4 - t**5.\nAnswer: -t**2*(t - 6)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 - 158*g**3 + 32*g**3)*(-27 - 3*g + 16 + 12).\nAnswer: 363*g**4 - 121*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*x - 15. Suppose -3*k + 2*s + x = -s, 5*k + 2*s - 27 = 0. Let o = 11 + -8. Solve -4*c = -5*i - 24, o*c - 5*i + 4*i = k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0921619 millilitres to litres.\nAnswer: 0.0000921619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**2 - 12*o + 3. Suppose -3*b - 4 = g, -2*b + 7*b - 30 = 2*g. Let v be l(g). Let q = v - -254. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j = -5*s + 10, 5*s + j = -5. What is the tens digit of 67\/14*8 + s\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20144 divided by -11126?\nAnswer: -10072\/5563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.190624 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*z**3 + 153*z**3 + 1 - 1.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 3*m**3 + 2*m + 3*m)*(-2 + 1 + 4) + m**3 - 4*m**3 + 0*m**3.\nAnswer: 6*m**3 + 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpdvvbdbbvhbbvdd. Give prob of sequence dbhp.\nAnswer: 5\/8736","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/36)\/(1\/2). What is the closest to 0.2 in r, 2, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwwwnwwwwwwww.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100377 divided by 11153?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3544627*b**2*l**3 - 2*b**2*l**2 - b**2*l - 3003*b**2 - 7*b*l**2 wrt l.\nAnswer: -21267762*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/307 and 28\/5.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 13 = 32*m - 28*m, -2*m - 4 = -2*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 + 70\/4. Suppose 2*q = 5*q - i. Let o(s) = -11*s + 18. Let f(r) = -13*r + 21. Let z(c) = -5*f(c) + 6*o(c). Determine z(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1604 is divided by 134.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = v - 2*q, 655 = 2*v + 2*q + 209. Let u = -3272\/15 + v. Which is the second smallest value? (a) 3 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 21*j + 476. Let v be p(-9). Calculate the highest common divisor of v and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -51 (c) -4 (d) -0.01 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*j + 6258*j + 132525 = 0 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -27. Suppose -3*x = -7*x + 20. What is the greatest common divisor of c and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 313067 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.116 + 0.116. Put i, 3, -3\/2 in increasing order.\nAnswer: i, -3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52686590377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057747990.\nAnswer: 2, 5, 13, 17, 109, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196820?\nAnswer: 2, 5, 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g**2 - 81*g + 29*g + 0*g**2 + 28*g + 24*g.\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 190335 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.79 + -7.41. Let z = f - -83. What is the third biggest value in 15, -2, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35\/17 + 1099\/102. Find the common denominator of 101\/2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwmmwmwwwww?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = i + 48. Let y = i - 268. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1685 = -n - 583, -8 = -4*n. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173663323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 188.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2 = 0, -u = -3*x + 8 + 3. Suppose -x*l - 10 = -22. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29583 = -p + 18390. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**3\/7 + 8950510*s**2\/7 - 2503487295564*s\/7 - 625872383298\/7.\nAnswer: -2*(s - 559407)**2*(4*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15708818 = -260*f + 15692698 for f.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/(k\/k**(-2\/11))*k**2*k**(-3\/2)\/k)**(-17) assuming k is positive.\nAnswer: k**(3247\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1862 - -1479. Is o >= -382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from vvvvvvvvrvvvrvvvvvvv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -336 - -343. Solve -3*c - 5 - q = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3 + 1 + sqrt(300) + ((sqrt(300) - (sqrt(300) + 0 - sqrt(300))) + sqrt(300))*-3 + -1)**2.\nAnswer: -200*sqrt(3) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141\/58 or 3?\nAnswer: 141\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3210 (base 4) to base 8.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66258956*d**2*r**3 - 21*d*r**3 + 9035*d*r + 2*r**3 - 19 wrt d.\nAnswer: 132517912*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(3))\/sqrt(3) - (sqrt(176) + sqrt(176) + 2)**2.\nAnswer: -708 - 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4\/7 + 2302*z**3\/7 + 25964*z**2\/7 + 11258*z\/7 - 12408\/7 = 0 for z.\nAnswer: -564, -11, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 52, 223, 568, 1147?\n\"Answer: 10*w**3 - 3*w**2 - 4*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 75072.\nAnswer: 75072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 + 19 - -100 - -16.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -409757373 and 0.016?\nAnswer: 409757373.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 373.\nAnswer: -81\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56222370931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-9 - -10)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -6, q + 3*u = -q + 56. Let t(c) = -c**3 - c**2 + 10*c - 2. Let l be t(-8). What is the remainder when (l\/15)\/((-2)\/(-5)) is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*k = -159 - 97, -3*s + 5*k - 773 = 0. Let q = s + 268. Solve 5*p - q*t = -16, 6*t = 5*p + 3*t + 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 479 + -484. Let x be -1 - (-2)\/9*5. What is the nearest to -2\/5 in s, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**11))**(11\/6)\/(x**(1\/3)*x**(1\/7)) assuming x is positive.\nAnswer: x**(827\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 - 2 = 126*q - 77*q. Let -12\/5*n**3 + 4\/5*n**q + 0 + 12\/5*n**2 - 4\/5*n = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15832532 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {q: 2, l: 3, o: 5, i: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*x + 6. Let d be ((-63598816)\/(-20))\/(x\/(-15)). Suppose -5899704 = -4*t - d. What is t rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 + 16)*(2 - 82\/42). Factor 1\/3*g + f*g**2 - 2\/3.\nAnswer: (g - 1)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 33*w + 62. Calculate h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 32*h - 269. Calculate o(-12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.3, 138, 5, 1\/2 in decreasing order.\nAnswer: 138, 5, 1\/2, -1\/6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72959642 is divided by 7295964.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 4. Let x be p(-4). Let g = -3 + x. Suppose s + g = 5. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + 2 + (6 - 3). Solve -59*t**m + 18*t**2 - 3*t**4 + 27*t**3 + 35*t**3 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12 = 3*z. Is z at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*l**3 + 169*l**3 + 19*l**3 + (-14*l**2 + 3*l**2 - 9*l**2)*(-l + l + 2*l) to the form y*l**2 + b + r*l + u*l**3 and give u.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21104464 or 21104442?\nAnswer: 21104464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/((-2)\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, 1\/4, 875, -8 in descending order.\nAnswer: 875, 1\/4, -1.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = -24*x - 201. Let z be x - -25 - 42\/(-15). Factor 4\/5*s**2 - 2\/5*s + 2\/5*s**3 - z.\nAnswer: 2*(s - 1)*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25318832 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7\/g*g**(-2\/11)\/g*g**(-6\/5)\/g**(-1\/4))\/(g**(-4)\/g**(1\/14))**(-25) assuming g is positive.\nAnswer: g**(-150793\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*k**5\/17 + 476*k**4 - 11864*k**3\/17 - 8752*k**2\/17 - 1344*k\/17 = 0. What is k?\nAnswer: -84, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 366\/(-4) - (-13)\/(182\/(-21)). Let i = 108 + m. What is the highest common factor of i and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.66, 4, -1, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 + a - 4. Let y(s) = 5*s - 3. Let z(r) = r - 1. Let n(k) = -y(k) + 4*z(k). Let q be n(0). Let c be (q\/2)\/((-7)\/(-56)). Determine m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.33 - 0.03. Sort -4, -1\/5, 3\/2, u in decreasing order.\nAnswer: 3\/2, u, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 373416 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181*z**4 - 875*z**3 + 238*z**2 - 3*z - 29772004 wrt z.\nAnswer: 2172*z**2 - 5250*z + 476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 104*h**2 - 45*h + 361. What is the hundreds digit of z(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, h: 5}. Give prob of picking 1 u and 1 h.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3 + 8*b**2 - 10*b - 16 + 2 - 6. Is t(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13810*d**2 + 13782*d**2 - 27596*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -9.7. Let x = -10.3 - n. Which is the closest to 0? (a) -1 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.201 - 1.1881697151.\nAnswer: -0.9871697151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 5*n - 2. Let y be o(-4). Let j(z) = -13 + y*z - 3*z + 13. Let d = -2 - 3. What is j(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 1353862792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 292095*n**2 + 25103529*n - 539606613.\nAnswer: 3*(n - 97279)*(n - 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**8\/84 + y**5\/60 + 3*y**2 - 10*y. Let r(l) be the first derivative of k(l). What is the third derivative of r(a) wrt a?\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 80230 to the nearest one thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 - 8. Let l(f) = -f**2 - 3. Suppose h - y - 2*y = 7, 3*h - 5*y - 1 = 0. Suppose -3 = -2*x + 3. Give h*l(n) + x*u(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.05 + -38.95. Which is smaller: p or -4\/53?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1940\/2716*(-3)\/(-30)*-4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 443275 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4726014*m**2 + 0 + 19 - 4547888*m**2.\nAnswer: -9273902*m**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 - 559\/3. Let c = -3 - -8. Suppose -9 = 4*o - 2*o - t, 0 = 3*o + 3*t + 18. What is the closest to 4 in o, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(2\/(-3) + (3\/2)\/(29106\/27489)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8407 in 1\/4, -0.1, 5\/33?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 16326*z**2 - 2*z + 16326.\nAnswer: 2*(z - 8163)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = -3*y, 2*y + 3 = 2*r + 21. Suppose 3*u = 3*c + 6*u, 0 = -4*c + y*u. Solve c = b - 2*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-1 - 8\/(-4)). Suppose -5*d + 1 = -a*x - 75, 4*x + 138 = 3*d. Let u = x + 54. What is the smallest common multiple of u and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -117. What is the remainder when o is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213 - 213. Suppose 204 = -i*n - 6*n. Is -35 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(320)\/sqrt(2))\/sqrt(2) + 3 + -1*-2*sqrt(5))**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13878 divided by -4.\nAnswer: -6939\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/(-3))\/(-3*3\/135). What is the highest common factor of p and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-22)\/33)\/((-2)\/12). Let w(f) = -6*f + f + s*f + 0*f. Let i(k) = -6*k. What is i(w(z))?\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*(sqrt(38) - (sqrt(38)*1 - sqrt(38))))\/sqrt(2))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 60847643010.\nAnswer: 60847643009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 1) + -1 - (69 + -34 - 28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 2\/253 (b) 1 (c) -4 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 479218?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from qosqqtqtvqqqvt?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*(-19)\/((-38)\/(-132)). Let n = z + 13. Calculate the remainder when 180 is divided by n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 11:53 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971150507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 452*h - 7099. What is r(-15)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18518929 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*-2*1\/(-6). Let g be ((-6)\/(-4))\/((-1)\/s). Let j(o) = o + 2*o**2 - 4 + 4 + 11*o**g - 4*o**2. Calculate j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*v = -662*v - 1050 - 6342 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000111000 (base 2) in base 16?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -160 - -178. Round u to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**23\/w))\/(w*w**(-5))*((w\/(w\/w**(-8)*w)*w)\/w)\/(w*w\/(w\/(w\/(w\/(((w*w*w*w**(-1\/19)\/w*w*w)\/w)\/w))))*w) assuming w is positive.\nAnswer: w**(-569\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - v + 702. What is the highest common divisor of 45 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5191959667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -28023 at least as big as -28034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -4 + (-16)\/(-6))*-12. Is (-3 - y) + 1 - -2716 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 2611?\nAnswer: 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let u(v) = -v**2 - 7*v - 6. Let n be u(-5). Solve -5*w = -n*w + 2, 6 = -r*g - 3*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**30))\/(d\/d**(-40)*d*d))**(-2\/3) assuming d is positive.\nAnswer: d**(146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/2826 and -8\/785.\nAnswer: 14130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050432 to 3 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 19, 3, 560?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-130))\/(15\/(-30)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36914073.\nAnswer: 3, 7, 1757813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5690780 less than 51278943?\nAnswer: 45588163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 28*m + 6. Give q(-27).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2314 divided by -3288\nAnswer: 1157\/1644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, 177, 0.04, -5, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1 + -4 - -5 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292896?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a**3 - 5*a**2 - 5*a + 18. Let q(m) = 5*m**3 - 2*m**2 - 3*m + 10. Determine 3*i(h) - 5*q(h).\nAnswer: 2*h**3 - 5*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 345576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 9*y)*(3 - 5 + 4)*(-3*y + 2*y + 0*y + (2 + 4 - 1)*(-y - y + 3*y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -34121 (b) 0 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89623 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4, 22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 124 = -0*n + 46*f + 379, 0*f + 20 = -0*f - 5*f for n.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-45))\/(3\/18)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 - 538235*u + 1076450 = 0. What is u?\nAnswer: 2, 107645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 119. Which is the biggest value? (a) 5 (b) o (c) 3\/8 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 22, 2, 4\/23, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5327?\nAnswer: 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209312, 209310, 209308, 209306, 209304, 209302?\nAnswer: 209300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by -1109.\nAnswer: 86\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1476528, 1476520, 1476506, 1476486, 1476460, 1476428, 1476390?\n\"Answer: -3*q**2 + q + 1476530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 638 + -566. What is the highest common factor of f and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (25\/(-20))\/((-1)\/132). Let f = u - 162. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qskk when four letters picked without replacement from {k: 2, r: 10, q: 1, s: 4}?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -6. Let f = -97 - -75. Let w = q - f. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -1\/6*l**3 + l**2 + 0*l + 0 + 1\/24*l**4. Let m(x) = -13*x + 5 - 3 + 12*x. Determine m(j) + 2*w(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85138338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48304962.\nAnswer: 2, 3, 2683609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 7*i + 13*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2. Let j(d) be the first derivative of 6*d**2 + 113*d - 1841. Calculate j(f(p)).\nAnswer: -12*p**2 + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3987, 3983, 3975, 3963, 3947?\n\"Answer: -2*d**2 + 2*d + 3987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 4. Let w = 11 - -19. Let v = w - 59\/2. What is the biggest value in 0.2, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 2*o + 2*o)*(-5 + 2 + 2) - o + 2*o + 0*o + (-o + 5*o + 0*o)*(2 - 4 - 3) to d + u*o and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-3)\/((-27)\/136))\/(3482\/15669)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k - 8. Let q(l) be the second derivative of 4*l**3\/3 - 9*l**2\/2 + l. Suppose 5*v - 56 = 13*v. Determine v*g(p) + 6*q(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 15*v + 332. Give l(27).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 - 0?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33453952 is divided by 1020?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w + 20*w + 786 + 17*w - 54*w.\nAnswer: w + 786","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 13*d + 4. Determine g(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/32)*u*u**9)\/((((u*u**(-39)\/u)\/u)\/u)\/(u*u**(-37))) assuming u is positive.\nAnswer: u**(483\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 1 + j + 0 + 0*j. Suppose -3*b = -33*b + 60. Let l(m) = 8*m**2 - 9*m + 10. What is b*l(n) + 18*o(n)?\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15281328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1251)\/(-54) + 2\/(-12). Suppose 5*x + g = -0*x + s, 0 = -2*g + 6. Suppose -3*d - 2*c - 2 + 4 = 0, -x*c - 24 = -d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 4*b - 8. Let c be u(6). Let v be 8 - (c + -3 + -4). Solve -2*t + 6 = 2*z, 2*t + 0*t + 3*z = v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11*(2\/4)\/(2\/(-15 + 19)). Let u(x) = 8*x - 7. Let k(s) = -17*s + 13. Give f*u(b) - 6*k(b).\nAnswer: 14*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.492721l in millilitres?\nAnswer: 492.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.1 + 8.435. What is j rounded to two dps?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 127558.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**3 + 2*z**2 + 3*z - 3. Let m(o) = -3*o + 2*o - 53596*o**2 + o**3 + 1 + 53595*o**2. Give 2*m(x) + w(x).\nAnswer: -x**3 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*u + 5*j - 52, u + 3*j = -22. Let d = 41 - u. Suppose -d = -5*y + 71. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -118, -187, -234, -253, -238, -183, -82, 71?\n\"Answer: h**3 + 5*h**2 - 91*h - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - -2051?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3*i)\/(i*i\/i**(-14))*i*i\/(i*(((i*i*i*i*(i\/(i\/(i**(-7)\/i)))\/i*i)\/i)\/i)\/i)*i*i**(-3\/4)\/i assuming i is positive.\nAnswer: i**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120232203 + -13102?\nAnswer: 120213101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16908 + -15952. What is the remainder when d is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + m**3 + 2)*(0*m + m - 2*m)*(0 + 0 - 1) to k*m + o + s*m**2 + w*m**4 + y*m**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -8. Suppose 2 = t*d - 4. What is the least common multiple of 5 and (4\/(-2))\/(d\/(-3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 times -0.016\nAnswer: -3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)*(37 + 0). Let l = 29 - -4. Let y = l + c. Let r(z) = -z**3 - 4*z**2 + 3*z + 4. Determine r(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66775448429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 200 = 16*b. Let n = -10 - 14. Which is bigger: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8861 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/6 + n**4\/3 - n**3\/3 - 4*n**2\/3 - 7*n\/6 - 1\/3 = 0. What is n?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 16) to base 3\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(1*(sqrt(5) + 2) - sqrt(5)))**2 - (-2*sqrt(2420) - (sqrt(140)*1)\/sqrt(7)).\nAnswer: -384 + 46*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16314 + -16395.071. Let c = 47.6 + 33.4. Let n = c + p. What is n rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - 5*y)*(y**2 - 5*y**2 + 3*y**2)*(1 + 5*y**2 - 1).\nAnswer: 25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 5 - 4*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -37\/5, -1\/47?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22 - 864\/(-33). Let g be 4\/26 + (-4)\/x. Let a be (-2 + g)*2\/20. Does 1 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - d + 12 = 0, 3*k + 0*d + 4*d - 8 = 0. Suppose f - 5*x = k - 63, x = f + 47. Let t = f - -59. Calculate the remainder when 26 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 18. Suppose -4*l = -28 - q. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.049 (b) 1 (c) 13 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:02 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 2, r: 5}. Give prob of sequence rg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*o, 3*o = -7*a + 10*a. Let x = -8 + 4. Let d be 39\/75 + x\/10. Do d and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*a - 19*a + 18*a.\nAnswer: -47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 221220112 (base 3) to base 16\nAnswer: 49c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24192 (b) -0.2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + x + 6 = -3*n - 10*n - 6*n, 0 = 4*x - x + 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/(-8) - -1) + ((-4914)\/48)\/(-21). Let h be (-2 - -2)*(4 + -3). Sort z, -17, -6, h in descending order.\nAnswer: z, h, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 26400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 12 = 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 743274?\nAnswer: 743280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 100 - 0) + 1. Let m = v + -497\/5. Let s = -3 - -2.6. Which is the closest to m? (a) 2 (b) 0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3061 + 10099. List the prime factors of g.\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 569186, 568381, 567576, 566771, 565966, 565161?\n\"Answer: -805*x + 569991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-9 - (-70)\/5)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**1*i*(i*i*i*(i*i**0\/i)\/i)\/i*i)\/(i**3\/(i*i*i*i*i**(-9)*i*i*i*i*i*i)))**15)**12 assuming i is positive.\nAnswer: i**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 35 = -4*n, 15*n - 6*k + 14302 = 14464 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1087*k**3 + 1328*k**3 + 1064*k**3 + (-4*k**2 + 4*k**2 - 2*k**2)*(0*k - k + 2*k) + 4*k**3 - 6*k**3 + 3*k**3.\nAnswer: 1304*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1670294 = 2*o + 4707648, -4*f - 2*o - 2429884 = 0. What is f rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13889952540 to the nearest 1000000.\nAnswer: -13890000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-7) + (1 - 5). Let p(m) be the first derivative of -2*m**2 - 4*m + 1. Calculate p(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l**2 - l - 1. Calculate g(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**3 - 12*z**2 - 11*z - 2. Let r(s) = -s**2 - s. Let g(j) = 3*i(j) - 12*r(j). Factor g(x).\nAnswer: -3*(x + 1)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 (base 13) in base 11?\nAnswer: -584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 286262 = -4*c, 48*i + 3*c = 53*i + 1431356. What is i rounded to the nearest 1000?\nAnswer: -286000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-14986)\/((-13081)\/(-103)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from yyxoyyyyxxxyxxyxyyy?\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*3*(-4)\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435 + -219. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11220094 is divided by 1735?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/6 - 8*f**3\/3 + 35*f**2\/6 - 3*f = 0 for f.\nAnswer: -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 643608161 to the power of 1\/2, to the nearest integer?\nAnswer: 25369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1053694459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7902, 15789, 23686, 31593, 39510?\nAnswer: 47437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/((-3 - -9)\/12576)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3625180 divided by 49660.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 1781\/273)*(-14)\/(-5). Let k = 35\/3 - 11. Determine s, given that n*s**2 - k - 2\/3*s**4 + 0*s**3 + 0*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 - 2667.\nAnswer: -2666.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187321?\nAnswer: 1187321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13)\/g)**(-1\/19)\/(g*g**(-30)*g*g**(1\/4)*g*g))**(-48) assuming g is positive.\nAnswer: g**(-24156\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 2)*(-17*l + 3*l - 6*l) - 3*l - 10*l - 6*l as f + g*l and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 11, 0, 4.3 in ascending order.\nAnswer: -2\/13, 0, 4.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 9344.\nAnswer: 65408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 88624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5582 + -3737. Suppose -1842 = -2*q + 2*m, -m - y = -2*q + 4*m. What is q rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 12*b - 13. Let m(h) = -h**2 + 6*h + 6. Let x(r) = 13*m(r) + 6*y(r). Find the second derivative of x(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1878036146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8 - 4 + n - 5 - 9*n**2 + 3*n**2. Let o be l(1). Let x be (o\/9)\/((-8)\/(-12)). Sort 5, x, 0 in decreasing order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.04738 litres to millilitres.\nAnswer: 15047.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24462 and 4698.\nAnswer: 709398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Let x(z) be the first derivative of 3*z**5\/20 + 3*z**2\/2 - 18. Let l(p) be the second derivative of x(p). Calculate l(b(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19481948 is divided by 1991?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + ((sqrt(4114)*2*-3)\/((1*sqrt(500))\/sqrt(10)) + -2)**2.\nAnswer: 264*sqrt(17)\/5 + 74227\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 5:46 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -285, 4, 5, -3, 963 in descending order.\nAnswer: 963, 5, 4, -3, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**4\/5 - 428*m**3\/5 + 24546*m**2\/5 - 176336*m\/5 + 339488\/5 = 0?\nAnswer: 4, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -842.7 + 856.9. Let k = -82.2 + 71. Let l = k + j. Put -0.4, 2, l, 0.4 in descending order.\nAnswer: l, 2, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**8\/8400 + x**7\/2100 + x**6\/1800 - x**3\/3 - 3*x**2. Let k(v) be the first derivative of n(v). Let k(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.2, 6, 27, -2, -2507 in ascending order.\nAnswer: -2507, -5, -2, -0.2, 6, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/3 + 58*w**2\/3 + 424*w\/3 - 896 = 0. What is w?\nAnswer: -48, -14, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 568896362 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1605 + 2675. Suppose 5*f + 5*f - r = 0. Does 31 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t**3 - 4*t + 3. Calculate the remainder when r(2) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 j when four letters picked without replacement from bbzjzpjzjz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1815*q*w**3 + 6*q*w - 3*q - 17*w**3 - 14*w**2 + 899*w wrt w?\nAnswer: 10890*q*w - 102*w - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*x = 68*x - 354. Factor -12\/13*k + 18\/13 + 2\/13*k**x.\nAnswer: 2*(k - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000294859 to 7 dps.\nAnswer: 0.0000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348*r + 342*r = -2184. Let u be 1\/(-4) + r\/560. What is f in 72\/5 + u*f**2 - 24\/5*f = 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/1 - (0 + -1). Is s smaller than 72\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/13 (b) 0.16 (c) -234 (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.05 (b) 1 (c) 4 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 8*b**2 + 6*b + 8. Let h be c(7). Differentiate 0 + 5 + h - 9*p - 2 with respect to p.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/3 + 101567*o**2\/3 + 25327000*o + 4719401808 = 0. Calculate o.\nAnswer: -372, 102311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02469 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -485*n**2 - 3543*n - 6. Let c(i) = -i**2 + i - 3. Let g(u) = -2*c(u) + x(u). Find the second derivative of g(q) wrt q.\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o**3 - 120*o**3 + 32*o**3 + 28*o**3 + 16*o**3 + 23*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.066433*-7.\nAnswer: 0.465031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.532 + -489.532. Let n = 488.94 + o. Put 0.06, -1, n in increasing order.\nAnswer: -1, n, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50 + 2975*h**4 - 17 + 24*h - 2975*h**4 - 172*h**5 - 252*h**5 wrt h?\nAnswer: -8480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 3*r - 1. Let p be (-4)\/3*6\/(-4). Let w be x(p). Let l(n) = 1 - w + n. Let z(d) = 2*d. Determine z(l(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r + 5*j = -31, -5*r + j + 135 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 39*o = 5*m - 918000, m = 0. What is o rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 4*b**5 + 25160*b**4 + 39463220*b**3 - 317620160*b**2 - 472350000*b + 5711731776 = 0.\nAnswer: -3149, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b**3 + 2*b)*((0 + 0 - 2)*(-5 + 2 + 0) + 3 - 7 + 2).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-8 - 1) + (1 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(2) + sqrt(10)\/(sqrt(40)\/sqrt(8)) + (sqrt(242) - (sqrt(242) - (sqrt(242) + 4))) + (-5*sqrt(98))**2.\nAnswer: 10*sqrt(2) + 2454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1120 and -145\/6.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**3\/6 - 3*a**2\/2 - 3*a. Let k(x) = -2*x + 5. Let u(c) = 3*k(c) + 5*n(c). Let b(s) = 10*s. Determine b(o) + 12*u(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(208)*2 + 3 + 0 + sqrt(13) + (4*(sqrt(104) + sqrt(104)*1 - sqrt(104)))\/sqrt(8))**2.\nAnswer: 182*sqrt(13) + 2246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccrk when four letters picked without replacement from rcckcrr.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one eighths of a week?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110417 + 71617. Round f to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 500873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 308*q**2 + 37*q - 91. Is d(-6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 173 + 1. Let d = f + -104. What is the remainder when d is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019471951 to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11510 + 9727. Which is smaller: v or -1781?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -855 divided by -3249\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 44466.\nAnswer: -444.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 1913*p + 52532. Calculate n(27).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 19*n - 10*n)*(n + 0*n - 3*n)*(-6*n + 4*n + 0*n).\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10 - -1)*(-12 - (-180)\/12)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 210 = -2*h. Suppose h = 4*w + 14. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2\/9 (c) -1\/3 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3686504*r**2 + r - 3550750 with respect to r.\nAnswer: 7373008*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*h - 49*h - h**2)*(3*h**2 + h**2 - 2*h**2).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(14\/(-4)) + 19. Suppose 0 = 2*r + r - d. What is the highest common divisor of r and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-240)*45*(-5)\/(-3).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100395 (base 11) to base 8\nAnswer: -473356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25313813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2. Let p be (1\/(24\/232))\/(1\/18). Let c(d) = -148*d**2 + p*d**2 + 0*d + 0*d. Determine u(c(l)).\nAnswer: -1352*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**0)**(-27)*((a*a**(3\/5))\/a*a*a)\/(a*a**(-5\/2)))\/(((a**(-5)*a)\/a**(2\/11))\/(a**(-1\/5)\/a**3)) assuming a is positive.\nAnswer: a**(-5381\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q**2 + 12*q. Suppose -4*c + 63*s = 66*s - 27, -3*s = -2*c + 9. Let f(l) = -8*l**2 + 11*l. What is c*f(v) - 5*h(v)?\nAnswer: -3*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.3, -0.2, 3\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10079 > -10075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.02 or -84842\/21?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 39, 74, 113, 156, 203?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.80833 litres to millilitres.\nAnswer: 64808.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, 57, 234, 411, 588?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468 divided by -5?\nAnswer: 1468\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*j**2 + 4*j**2 + j**2)*(1 + 5 - 3) + j**2 + 4*j**2 - 3*j**2)*(-2*j**2 - 2*j + 2*j) to the form m*j**4 + r + g*j**3 + b*j + z*j**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3.34, -4, -3\/4, 0.04, 0.4, -2\/5, -0.01?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 571631 and -3.1.\nAnswer: -1772056.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -499*o + 23433. Give l(47).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*((sqrt(1377)*1 + sqrt(1377))*1 + sqrt(1377) + sqrt(1377) + (sqrt(1377) + 1)*6)*1 + -4)**2.\nAnswer: -360*sqrt(17) + 137704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(720)*1 + -1.\nAnswer: -1 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13671204 less than -111984?\nAnswer: -111984.13671204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 - 52*a + 198. Let p be d(9). What is the greatest common factor of p and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5 - x - 2 - 3. List the prime factors of h(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, 4, 3\/4, 0.09, 4517 in ascending order.\nAnswer: -2\/9, 0.09, 3\/4, 2, 4, 4517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-270)\/(-60)*4\/9. Let f(n) = 37*n - 7. Let s be f(5). Let p be c + s\/(-46) - -2. Is p < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -221, 5, 0, 6 in increasing order.\nAnswer: -221, -1, 0, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 428922539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1396 and 117962.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (-32 + 17)) + 23 + (51 - 1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6393863 and 1372.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -948, -968, -1024, -1134, -1316?\n\"Answer: -3*r**3 + r - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 74*u - 47. Let x(c) = -3531*c + 2255. Let l(p) = -2*p. Let w(t) = 11*l(t) + x(t). Let v(r) = 286*i(r) + 6*w(r). Differentiate v(f) wrt f.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -29454, 2, 0.39 in decreasing order.\nAnswer: 5, 2, 0.39, -5, -29454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 94\/18 - (-14)\/(-63). Suppose 4*n - 16 = -4*y, 0 = 4*n - y + 3*y - 18. Solve d - 3 - 1 = n*z, -3*z - 8 = q*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 76138163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 20 = 4*z, 0 = 5*p - 3*z + 16 - 31 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11879 is divided by 11786.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -0.0558174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46900)\/(-170) - 2\/(-17). Suppose 8*k = 11*k - i. Suppose 6*v - 2*v = k. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54800808593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4150200 (base 7) to base 13\nAnswer: -146487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9106)\/314)\/435*(2\/(-20))\/(2\/24).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/3, -1233, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x**2 + 12*x - 8. What is the units digit of t(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-21))\/(2\/(-108)). Let w = l - -37. Solve p - 2 = -w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(5 - 6 + 45)*(-4*m**2 - 10 + 10).\nAnswer: 176*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - z = 2*s + 7, -4*s = -3*z - 17. Solve 12 = -n + 4*n + 5*g, s*g = -2*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3, 3, -781, -1 in increasing order.\nAnswer: -781, -3, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)*h*h*h**(2\/5))\/((h\/h**(-1))\/h)**(1\/5)*(h\/h**2)**(-5\/9)*h\/h**(5\/6)*h*h\/h**(2\/13)*h assuming h is positive.\nAnswer: h**(721\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 15 = -5*k, 2591*k - 2595*k + p = 33 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -a113a?\nAnswer: -a1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 25 = 5. Let x be (-5 - 2) + -2 + u. Which is the closest to -0.4? (a) -2 (b) 2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 + -6 - (-18 - -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 4*t**2 + 4. Let k be 3*(-1)\/2*-2. Let a = 1432 - 1395. What is the remainder when a is divided by l(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = -4*o. Let g = -0.04 - -3.04. What is the closest to o in g, -1, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*r**4 - 8144*r**3 + 103357*r**2\/2 - 61054*r + 5115\/2 = 0 for r.\nAnswer: 1\/23, 3\/2, 5, 341\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + t - 26)*(5 + 0 - 3 - 17 - 6 + 2 + 3 - 3 + 1 + (-2 + 1 + 3)*(-2 + 0 + 1) - 2 + 4 - 1 + 0 + 1 + 0 + 4 - 4 - 1).\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -26. Let j(h) = -h**2 + 10*h + 4. Let p be j(w). Solve -g - 4*a = p, g - a - 20 = 4*a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/360 + (66\/90)\/((-8)\/(-984)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890010195.\nAnswer: 3, 5, 59334013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0*i*(i*i**(1\/6))\/i)\/(i*i**(-1)\/i)**(-44) assuming i is positive.\nAnswer: i**(-251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = -0*j. What is the least common multiple of j and 3 + 18\/(-3) + (-15)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*v = 191*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*c - 5 + 1, 5*z - 2 = 4*c. Suppose -1596 = z*j - 6214. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*i - 12 = -2*a, 5*a - 2*i = 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/11, 5.7, 0.228?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -23. Suppose 0 = -3*j + w*j - 700. Suppose -3*z - 2*z + j = 0. Calculate the greatest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 2. Let p be a(-4). What is the units digit of (9 - 2)\/(p - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.05, 0.1, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-18)\/(-165)) + (-16)\/(-24). Let z = h + -107. What are the prime factors of (-4)\/22 - 6440\/z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/6)\/((-65)\/((-23400)\/(-80))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-8 - 0) + 224 + -203\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 - 142*w + 442. Let p(o) = o**2 - 36*o + 110. Let k(y) = 2*g(y) - 9*p(y). Let n be k(37). Solve 5*t - 10 = 5*r, 0 = t - 2*t + n*r + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*b + 3, 0*f + 17 = f - 4*b. Suppose -4*a = k - f, 3*k - a - 3*a = 43. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**6*m)\/m)\/m*m**(5\/4))**(4\/5) assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, l: 1, s: 2}. Give prob of picking 1 l and 3 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7148484419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14053.\nAnswer: 13, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/7 + 2*a**2\/7 + 24*a\/7.\nAnswer: -2*a*(a - 4)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 7 + 7 = 2*d, 3*p + 5*d = -3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20970407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 3*q**2 + 2*q - 2. Let i(u) = u**3 - 2*u**2 + u - 1. Let o(s) = -5*i(s) + 2*x(s). What is o(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 356 - 352. Suppose -a*y + 144 = 5*h - 2063, -3*y = 4*h - 1656. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(((-9)\/(-24))\/((-168)\/32))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2. Let d(o) = 5*o**2 + 5*o + 5. Let b(x) = x + 1. Let y = -59 + 61. Let a(v) = y*d(v) - 10*b(v). Calculate a(f(m)).\nAnswer: 360*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**4 - 171*k**3 - 3*k**2 + 171*k. Let d(h) = -5*h**4 + 170*h**3 + 5*h**2 - 170*h. Let n(x) = 4*c(x) + 3*d(x). Factor n(z).\nAnswer: -3*z*(z - 1)*(z + 1)*(z + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 - (14 + 5 + -23)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:27 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/40*3)\/(-32 + -11 + 1035\/24).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12 - -11)\/(6\/2 - 110\/33). Let p = -0.1 + 0.2. Let a = -0.2 + p. What is the closest to a in c, -2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6450 * -32.\nAnswer: 206400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.414\nAnswer: 0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrthhrhphththttrttr. Give prob of sequence ht.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -575621*f*k**2*m**2 - 2*f*k*m**2 + 5*f*k*m + 4*f*k - 168*f*m - 2*f - m**2 wrt k.\nAnswer: -1151242*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = 519 - 204. Let a be (21\/f*5)\/((-6)\/338). What is the greatest common divisor of 13 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2422125, -2422113, -2422087, -2422041, -2421969?\nAnswer: -2421865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -168, -194, -220, -246, -272?\n\"Answer: -26*u - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 230\/50 + 2\/5. Suppose -2*u - 9 = 1, -175 = -v*w + u. Solve -14 + w = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18)\/(u*u**(-7\/5)))\/(((u*u**(-16\/3)\/u)\/u*u)\/(u\/(u\/u**14))) assuming u is positive.\nAnswer: u**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i. Let o(n) = -n**2 + 7*n. Suppose 2*g + 5 = 4*p - 5, -2*g + 2*p = 0. Let d(l) = g*o(l) + 35*k(l). Let f(r) = 6*r. Calculate d(f(a)).\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/10 - 2\/(-4). Suppose 18 = x*z - 0*z. Let y = z + 3. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2591, 5346, 9267, 14936, 22935, 33846, 48251?\n\"Answer: 97*p**3 + p**2 + 2073*p + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27310404, 27310400, 27310396, 27310392, 27310388, 27310384?\n\"Answer: -4*n + 27310408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.06921087 - 153.5613\nAnswer: -153.63051087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*11878995\nAnswer: 11878995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*w + 178*w - 36 + 12*w + 5 + 7*w.\nAnswer: 115*w - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Let m(z) = -177*z - 10 + 353*z - 189*z. Let y be m(-1). Solve -p + c = y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 312*q**3 + 321*q**2 + 630*q.\nAnswer: -3*q*(q - 2)*(q + 1)*(q + 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.35623502 rounded to three decimal places?\nAnswer: 11.356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 554, 785, 1378, 2501, 4322, 7009?\nAnswer: 10730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4*2)\/(-1))\/((-100)\/(-50))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -7*i**3 + 3*i**2 - 43*i - 30. What is the units digit of q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 1)*51\/(-9). Suppose 3*j + r = 23. Suppose -i - j = -5. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d**(-2))**(4\/37))**(-1\/37))**(-2\/37))**(1\/9) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 2*p - 2. Let b be a(1). Let v(n) = n + 49 - 49 - b*n. Let j(s) = -15*s**2. Give v(j(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/9 and (67\/(-12))\/((-66)\/8)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/27370 and -71\/1150?\nAnswer: 136850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*a + 135*a - 296*a - 57*a**3.\nAnswer: -57*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 614587414 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2 + 2*q**2 - 6*q - 14*q**2 + 5*q**2 + 6*q**2. Suppose -w = -5*w - 16. Give t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5185?\nAnswer: 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**6\/30 - 3*p**4\/4 - 6*p. Find the third derivative of n(t) wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181.7 + -182. What is the biggest value in n, 4, -245?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/((-1)\/(-6)). Find the common denominator of 67*l\/(-24) + -1 and -53\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 998972 and 64116?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l. Let b(j) = 3 - 3*j - 11 + 8. Determine v(b(z)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.264382 months to decades.\nAnswer: 0.09386985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -11 - (-2 - -11) - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 33*x**2 + 102 + 101 - 229 + 99.\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 0*s**3 - 3*s**3 - 6*s + 3*s**2 - 6 + 2*s**3. Let d be y(-4). List the prime factors of 130\/14 - d\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z + 173 = -1000 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 462.9 - 1.\nAnswer: 461.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*w**3 + 178*w - 90*w**3 - 178*w - 281 - 12*w**3 wrt w.\nAnswer: -357*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12620, -25321, -38050, -50807, -63592, -76405, -89246?\n\"Answer: -14*k**2 - 12659*k + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -63, -72, -85, -102, -123?\n\"Answer: -2*a**2 + a - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 - 40*d - 43. Let b be m(6). Solve 4*j + 0 = -8, 3*j + b = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233481072 divided by -528\nAnswer: -442199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300712?\nAnswer: 2, 37589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -7. Let j(v) = -3*v**3 - 1 + 2*v**3 - 2*v**2 + 6*v + 2. List the prime factors of j(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 14. Suppose x*q - 3 - 2 = 0. Is q <= -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - d)*(14*d - 5*d - 32*d) + 20*d**2 - 37*d + 21*d + 18*d.\nAnswer: 43*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*c**2 - c + 2*c + 20*c**2 - 11*c**2.\nAnswer: -c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/5)*p*p**(-1\/6)*p)**(-23)\/((p**4*p*(p*(p**(5\/4)*p)\/p)\/p*p)\/(p**(4\/5)\/p*p*p**(-9))) assuming p is positive.\nAnswer: p**(-5389\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 12 = 3*t, 0*c - 4*t = c - 16. Suppose -2*p + 3*p = 22. Solve -2*m = 4*i - c*i + p, -4*m - 16 = i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*l = 0, -5*l + 6*l + 9 = -5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -17*k + 9. Let s(y) = -8*y + 4. Let x(u) = -4*c(u) + 9*s(u). Let b(m) = -26*m + 10*m + 15*m. Give x(b(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4606.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + 9. Suppose -5*a - x = -3. Let n = a - -10. Solve n*z = -3 - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 4*p. Let s be f(-4). Suppose s*i - 2*l = -3*i + 34, 5*l + 10 = 0. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -3, -11, -29?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -21 + 21 + 7.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 6:06 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -744.353102 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88230398 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11550088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 961430293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -103, -206, -311, -418?\n\"Answer: -t**2 - 100*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -15*u**4 + 4*u**3 + 26*u**2 - 4. Let g(r) = 15*r**4 - 3*r**3 - 26*r**2 + 3. Let c(n) = 4*g(n) + 3*z(n). What is the third derivative of c(k) wrt k?\nAnswer: 360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r + 3*l + 12, -3*r + 20 = -5*l. Suppose 0*v - 3*v = -3*a + 75, r = 4*a + 4*v - 68. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + 1a73?\nAnswer: 1a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 3\/5, -0.4, 1, 9700, 3, 0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 26 = r, 5*r = -3*w + 118. What is the remainder when w is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3.75. Let z = m + -0.24999892. What is z rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29508\/211410*-3 + 8\/(-40)*-2 and -193\/2610.\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5*m**2 + 6*m - 16. Suppose -7 = -3*h + 2*t, 12*h + 3*t = 17*h - 13. Let v be g(h). Solve -2 = 3*f - v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + a**2 + a + 17. What is o(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5646226 (base 8) to base 3\nAnswer: 2212120120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*a**5 + 6581*a**4 - 9*a**3 - 2479*a**2 - 2*a + 1963.\nAnswer: -3000*a**2 + 157944*a - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 52025 or -0.04?\nAnswer: 52025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 2. Let m be (-96)\/(-27) + 52\/117. Let t(q) be the first derivative of -5 - 1\/2*q**2 + 0*q. Determine m*t(j) + x(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*t + 132, 2*f - 2*t - 112 = -f. Does 20 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(60)\/sqrt(5)))**2 + (sqrt(396))**2.\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:44 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x - 46. What is r(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*x - 16 = -423*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z - 6. Let u = 0 + 7. What is the least common multiple of 6 and x(u)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 12:07 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = 0. Suppose k + 4*k - 1 = l, 3*l + 3 = 5*k. Solve k = 4*a - q*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**2 + 57*x + 2. Does 19 divide d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 39*c - 231. Calculate the remainder when 4027 is divided by u(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431.4 rounded to the nearest 10?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 - 82 = -3*a, 4*a = -5*y + 76. Suppose a*x - 14*x = 20. Solve x*h = h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 2*w**2 - 4*w - 6. Let y be c(-3). What is the highest common divisor of y and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 94049\/29 - 130\/1885. Calculate the highest common divisor of 235 and k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 5*j + 27, 5*h - 4 = -3*j + 16. What is the units digit of 98\/7 + -2 + h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20048 and 43456?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(4\/24*-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -2)**2.\nAnswer: -40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*y + 51 = 79, -n + 8 = -y. Suppose 5*g - 2*q - 1190 = 0, n*g - 952 = -g - 4*q. Calculate the greatest common divisor of 34 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 9*h - 6. Let g be w(8). Let x = -5520 - -5530. What is the highest common factor of x and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 - 2*p**3 + 7*p**2\/2 + 2*p - 1. Let t be z(-7). Let o be 1 + -1 + 2 - t. Sort 4\/5, o, 4\/3.\nAnswer: o, 4\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11961981*i**3 + 236476321*i?\nAnswer: 71771886*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - z**3 - z**3)*(4 - 3 + 2)*(-5 + 6 + 0).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(-1*(sqrt(4) + 1*sqrt(4))))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/8 - 18256843*f\/2.\nAnswer: f*(f - 73027372)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72396 (base 10) to base 5.\nAnswer: 4304041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 50. Solve -l + 4*l + 15 = h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978912 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 8*r - 8. Let p be z(5). Solve 5 = 2*j + 3*n, -9 = -j - 2*n + p*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**3*w**2 - 8592*t**3*w + 2*t**3 + 39*t**2*w**2 - 143*t*w**2 - 5*w**2 wrt t?\nAnswer: 6*w**2 - 51552*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 175490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 28*d - 7. Let p(g) = -g**2 + 7*g + 13. Let l be p(8). Let i be j(l). Solve -3 = 5*a - i*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 195 - 183. Calculate the lowest common multiple of 8 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3)\/(3\/(-45)). Let f be (-112)\/(-49) + -2 + 0. Which is the closest to f? (a) g (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 3*i**2 + 2*i**2)*(3*i - i - i) + 4*i**3 - i**3 - 6 + 8.\nAnswer: 4*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 1)*(28*p + 7*p - 4*p) as x*p + c and give x.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*q - 15 = 0, -3*r - 2*q = -5*q - 15. Let z(y) = y**2 - 11*y + 2. Let v be z(11). Calculate the remainder when (55\/(-5))\/(v\/(-2)) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 512 - 507. Solve -3*x + 18 = -3*f, h*f - 2*x + 0*x = -27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -82187 and 114726695?\nAnswer: 114808882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -5*k**7\/273 - 43*k**6\/195 - k**5\/65 + 94*k**4\/39 + 88*k**3\/39 - 64*k**2\/13 - 2*k - 278. Find o such that r(o) = 0.\nAnswer: -8, -2, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67062198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:26 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose -4*t - 2*u = -30, 0*t + u = b*t - 5. Suppose x = -4*v - 3*x + 64, -v = -5*x + 14. Solve 0 = r + 5*n - 11, t*r + 0*r - v = -3*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 2323549602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92956.\nAnswer: 2, 17, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 - -3003220113?\nAnswer: 3003220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 2 + 0*p - 3\/2*p**2. Let z(c) = 0*c + 5*c**2 + 0*c. Determine o(z(s)).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/((9\/12)\/((-48)\/(-128))). Solve g*h - 56 = -64 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v - 18. What is d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3485, -6956, -10427?\n\"Answer: -3471*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukukukkukukk. Give prob of picking 2 k.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*b - 101 - 106 - 27 - 18 to f*b + s and give s.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 78*v + 0*v**2 + 0 + 4\/3*v**3 - 25\/12*v**4. Find the second derivative of s(m) wrt m.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 14 = c - 3*n, 4*c + 4*n - 28 = 0. Let l = c + -4. Suppose l*r = 3*o - 18, 2*o + 2*r - 5 = -1. Calculate the greatest common factor of o and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7975\/(-174) - -5) + 6\/(-36)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 5:21 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) + sqrt(275)\/sqrt(44))\/(-2*sqrt(125)) - (-3*sqrt(500) - sqrt(5) - (-5*sqrt(30))\/sqrt(6)))**2.\nAnswer: 267289\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -13. Suppose 75*t - 59*t - 6848 = 0. What is the remainder when t is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 5*t**2 - 5*t + 12. Let z be b(6). List the prime factors of ((-5332)\/6)\/(-2*6\/z).\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001199 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(180) + sqrt(180))*-6)**2.\nAnswer: 1728*sqrt(5) + 26064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46657 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.1. Let p = 0.8 + n. Suppose 18*d - 77 - 67 = 0. What is the smallest value in d, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 11, q: 3}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 15. Suppose 4*a - 6 = -2*p, 5 = i*p + 3*a - 4. Find the third derivative of -2*n**4 - 2*n**3 + 2*n**p - 2*n**2 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 28095 = 10107. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268154109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 8*u**2 + u - 1. Let v be n(8). Suppose -19*f**4 - 6*f**5 + 5*f**5 - 9*f**3 + v*f**4 - 2*f**5 = 0. Calculate f.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**3 + 2*d**2 + 0*d**3 + 11*d**3 wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194 and 61304.\nAnswer: 61304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1643168370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/60*2259\/26355.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68978566 is divided by 22992854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 smaller than -607\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u + 3. Let a(q) be the third derivative of -q**4\/24 + 5*q**2 + 11*q. Determine 6*a(o) + m(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j**3 - 7*j - 10. Let i(m) = -4*m**3 - 2*m + 1. Let h(d) = 12*d**3 + 6*d - 2. Let b(g) = -4*h(g) - 11*i(g). What is -7*b(z) + 2*k(z)?\nAnswer: 2*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 12*t = -2196. What is the biggest value in t, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -4, -7\/6, 12, 16?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48745 divided by -5?\nAnswer: 9749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:26 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**5 - 7*r**5 + r**5 + (-r - 4*r + 2*r)*(-r**4 - 3*r**4 + 2*r**4) + 0*r**5 - 5*r**5 + 2*r**5.\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22300 + -13629. Does 80 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44995)\/15)\/((-6)\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, 0.4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44567701993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 28, 31, 34, 37?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 432 - 292. Suppose -l - 5*y + 38 = 0, -3*y = -0*l - 2*l + 102. Calculate the remainder when g is divided by 2\/((-1)\/3 - (-22)\/l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1540 + 8?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -590\/3 + 195. Let t = 1177 + -775. What is the common denominator of m and ((-1)\/(-4))\/((-15)\/t)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 14796?\nAnswer: 73980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, b: 8, n: 2, u: 1}. What is prob of picking 1 b, 1 n, and 1 a?\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7) + (-22 - -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 4 (c) -1 (d) -429 (e) 5 (f) -0.1 (g) -0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 9:23 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 8*j**2 + 9*j + 7. Let r be l(7). Solve 4*v + 1 - r = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1771, -3292, -4807, -6316, -7819, -9316?\n\"Answer: 3*r**2 - 1530*r - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) -0.08 (c) 0 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 888?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 5*n - 101. Let x be q(17). What is the highest common factor of x and 1274?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2 = -14*n - 158 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 16*p**2 - 23*p - 85. Let f be x(-18). Calculate the highest common divisor of 149 and f.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4720 - 4512 - 78 - 2*b**2 - 130.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 + 23*n**3 - 6*n**2 - 368*n + 352 = 0 for n.\nAnswer: -4, 1, 4, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + 3 - 3)*(2 + 0 + 1) + 1 - 1 - 2*n + (0*n + 4*n - 6*n)*(-4 + 3 + 6) - 20 - 2*n + 20.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.74 - 0.04. Let z = -2443.89982 + 2443.2. Let h = z + t. What is h rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3675909 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1657 at least -1657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 3:05 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (-6 - -24 - ((-8 - 14) + 24)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 104*s - 504. Give g(-99).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/27)*j**11*((j**(-2\/9)\/j)\/j)**(-1\/19) assuming j is positive.\nAnswer: j**(5722\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjh when three letters picked without replacement from jhhtfhtehtthmtftfjft.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-7)*(-51)\/(-21*44\/1078).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/((-4)\/(-3)))\/(54\/(-19692)). Let w = -1094 - h. Determine k so that -1\/2*k**2 + w + 4*k = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*f - 9. Suppose 4*y - f = 2*y. Find the second derivative of g**y - 2*g - g**2 + 0*g + 3*g**3 wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let d(w) = 3*w. Let u(z) = 2*b(z) + d(z). Let v be u(4). What is the units digit of (3 + 1)\/(v\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(30\/(-35)*25\/(-150))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1 + 9 = 0. Suppose -k = 3*g - 0*k - 7, k - 5 = -r*g. Suppose -h - 6 - 6 = -2*c, g*c - 3*h = 4. Calculate the highest common divisor of c and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 271927409?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241672620?\nAnswer: 2, 3, 5, 7, 109, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -656269\/24 + 27347. Let k = 9032833\/183 - 49360. Calculate the common denominator of o and k.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43715064 is divided by 133?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)\/((h*h**(1\/3)*h)\/h)*h**(-1\/3)*h**(-1\/2) assuming h is positive.\nAnswer: h**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44258570 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18053384 to the nearest integer?\nAnswer: 4249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 - 3500378\nAnswer: -3500380.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = 30. Let h be -1 - (4 + -2 + -5). Suppose h*r - 11 - 29 = 0. Calculate the lowest common multiple of v and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -887136465, -887136464, -887136463, -887136462?\nAnswer: -887136461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - 5*s**2 + 2*s + 2. Let p be i(6). Suppose 21*d - 28 = p. Let f(h) = h + 8. Let n be f(-4). Solve b + 0*b = n*z + d, -4*b - 24 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 46150.09kg?\nAnswer: 46150090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -10595*w + 127137. Calculate b(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 20. Suppose 4*v = -x*w - 23, 2*v = 3*v + 2*w + 2. Let y be v\/28 - 24\/(-7). Solve 5*u - 6*h = -y*h + 15, u - 4*h = 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.59 and -0.4.\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20653221 - 136?\nAnswer: 20653052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(44\/40) + 4. Let v be (w\/12)\/(2\/(-36)). Let p = 15 - v. Solve -2*k + 4*k = p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, 57, 63, 69, 75, 81?\n\"Answer: 6*w + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135795900 rounded to the nearest one million?\nAnswer: 2136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*a + 17. Let m(v) be the first derivative of -v - a - 1\/2*v**2. What is m(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 422 - 3a?\nAnswer: 3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6967846, 13935682, 20903506, 27871312, 34839094, 41806846, 48774562?\n\"Answer: -m**3 + 6967843*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 11. Let n be j(9). Suppose -3*z + 13 = 5*p, -n*z - 2*p + 6 = 2*p. Calculate the highest common factor of 33 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*r + 18. Suppose q = 4*o - 70, r*o + 0*q = -4*q + 98. Let j be 45*1*3\/3. What is the greatest common divisor of o and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = -10. What is the second derivative of -2*o - o + o**3 + y*o - 4*o**3 wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25985137 and 111624.\nAnswer: 4651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by (233 + (-143)\/13)\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -6 - 24. Suppose -i*l = 60 - 6. Let j(n) = -n**2 - 11*n - 8. Does 3 divide j(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418*p + 10379 = -11805*p + 2*l, -4*p + 5*l = 4*p - 11*p - 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 3*c + 2*c - 2900, 0 = 3*k + 5*c - 1742. Suppose 4*y + 27 = k. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d**3*h**2 - 460*d**3 - 3*d**2 - 10*h wrt h?\nAnswer: 8*d**3*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -89*a**6\/4 + 92*a**3\/3 - 10662*a**2. What is the first derivative of v(o) wrt o?\nAnswer: -8010*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*t - 2660 = -12*t. What is the remainder when t is divided by 90?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1 + (3 - 2 - 3)*(-2 - 4 + 4) - 1 - 3 + 2)*(-4*b**2 + 6*b**2 + 3*b**2).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0257813 rounded to four dps?\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 85 + -17 + (0\/2 - -4).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -361*v - 1. Let m(l) = -2848*l. Determine m(w(n)).\nAnswer: 1028128*n + 2848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 543793695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 43. Let x = 232 + -212. Let m(j) = -6*j + 5. Let v(l) = -l + 1. Give x*v(s) + y*m(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53748, 50398, 44814, 36996, 26944, 14658?\n\"Answer: -1117*r**2 + r + 54864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -396479\nAnswer: -4\/396479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*c + 4 - 251*c - 1 + 182*c + 4*c**2 - 417*c to the form q*c**2 + j*c + b and give j.\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**4\/18 - 122*v**3\/9 - 121*v**2\/3 - 1006*v. Factor o(a).\nAnswer: -2*(a + 1)*(a + 121)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v + 3. Let x(o) = 17*o - 7. Calculate 13*g(w) + 6*x(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 3:23 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 616 and 616?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmsm when four letters picked without replacement from {y: 3, m: 5, s: 2, c: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*d, 5*z = 2*z + 3*d. Let k be 0\/(z - -2) + 3. Suppose 7 = k*t - 11. Let o(b) = -b**2 + 8*b - 7. What is o(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84724.91cm to kilometers.\nAnswer: 0.8472491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*z + 301320 = -3557*z for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19577 plus -0.07?\nAnswer: 19576.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: f (base 16) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -62*b**2 + 21*b**2 - 4*b + 16*b**2 + 18*b**2. Let d(y) = 36*y**2 + 20*y. What is 3*d(c) + 16*l(c)?\nAnswer: -4*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 6 - ((-31020)\/(-385) - 9\/(-21)).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 195397.\nAnswer: 195397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(26\/2600*20)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 98. Suppose 5*s + 312 = -f*v - 328, 0 = 5*s - 2*v + 615. Let q = s + 121. Is -4 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-6))\/(2\/(-3)). Suppose -4*f + 436 = -4*y, 2*f - 3*f = -n*y - 105. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2 and -2\/30077.\nAnswer: 60154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/30 - 20\/(-30). Put r, 0, 4 in ascending order.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77125153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 10:21 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -3, 97902 in descending order.\nAnswer: 97902, 32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120258511\/462 + 260300. Let c = j + -2\/77. Find v, given that -1\/6*v**2 - c*v + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.014? (a) 0.2 (b) -0.23 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13331224331 (base 5) to base 2.\nAnswer: 1000001000011110011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2876855 (base 9) in base 11?\nAnswer: -993877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289088018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 - -130. Let i(v) = -16*v**2 + 5*v + 1. Let x(k) = -15*k**2 + 4*k + 1. Let o(t) = -6*i(t) + 7*x(t). Determine o(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 3, -3, -4\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.024 + 28. Let l = -0.014 - o. Let q = -11\/7 - -37\/28. What is the closest to -3 in q, 5, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -349900, -699801, -1049702, -1399603, -1749504, -2099405?\n\"Answer: -349901*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1740.85 nanograms?\nAnswer: 0.00000174085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/15 + 1)\/((-136)\/85). Let m = -0.9 + 4.9. Which is the second smallest value? (a) y (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5031*q + 6245*q + 1109208 = 1460*q for q.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x**2 - 78*x + 338. Let d(q) = 2*q**2 - 10*q. Determine 7*d(n) - h(n).\nAnswer: n**2 + 8*n - 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = 65*i - 324 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30204 + 1103?\nAnswer: -25101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5426.1497 - -5426. What is s rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**2 - 23*r**3 - 5*r**4 + 8*r**2 + 12*r**3 - 9*r + 4*r**4 - 14*r**3 wrt r.\nAnswer: -24*r - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - 3*p**2 + 2*p - 5. Let i(v) = -2*v**3 + v**2 - v + 2. Determine 5*i(x) + 2*n(x).\nAnswer: -4*x**3 - x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6757 and 1189.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*w**3 + 87*w**3 + 17*w**3)*(5 + 0 - 3 + (3 - 1 + 0)*(0 - 1 - 1)).\nAnswer: -162*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/878 + -43897\/2634. Let v = -20347 + 1790441\/88. Find the common denominator of s and v.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 130*u**2 - 26*u - 15. Let m(t) = -87*t**2 + 17*t + 10. Let b(a) = -5*g(a) - 8*m(a). Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -165*d - 352. Let c be m(-17). Suppose 0 = c*f - 2455*f - 8. Let b be 54\/(-10) + (-2)\/(-5). Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 265*w**3 + 403?\nAnswer: 795*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*(i*i**(-3))\/i)\/i))\/i**(1\/9)*(i\/(i\/i**6))\/(i**2\/i*i) assuming i is positive.\nAnswer: i**(71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d - 379. Give w(-62).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -15.8. Let r = 105 - 105.1. What is the closest to l in -0.5, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**4\/5 + 754272*i**3\/5 + 6033873*i**2\/5 - 27907308*i\/5 - 33186912\/5 = 0?\nAnswer: -251416, -11, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a6b (base 16) in base 15?\nAnswer: 9444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i + 3*i**2 + (-i + 0*i + 3*i)*(3 + 2*i - 3) - i**2 - 2*i**2 + 2*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**2 - 19*p + 10. Let y(b) = 5*b**2 + 20*b - 11. Let l(f) = -4*o(f) - 5*y(f). Is 13 a factor of l(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*r - b, 3*r + 20366*b - 11 = 20371*b for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -484 divided by 4\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*s - 144*s + 72*s + 38 in the form p*s + q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 169469849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 - 24*h - 25*h + 57*h - 3*h - 5*h**3 + 3*h**3 + 6 as w + l*h**3 + t*h**2 + o*h and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 21. Let n be y(-33). Is (n + 2\/(-1))*(-23)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -3626.\nAnswer: 5\/1813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.17 - 6.67. Put -1.8, d, 12 in descending order.\nAnswer: 12, d, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c900 (base 13) in base 16?\nAnswer: -6ced","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhee when four letters picked without replacement from eehh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3171 - 480. Is ((-4)\/6)\/((-6)\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 519*r - 1721. Is l(68) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 27*q**2 + 24*q + 33. Let n be x(26). Let i(s) = -2*s - 35. Let a be i(n). Sort a, 5, -1, 14 in decreasing order.\nAnswer: 14, 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -578.0422 + 0.0422. Let f = j - -577.9. Sort -3\/31, f, -3.\nAnswer: -3, f, -3\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105540, 211078, 316616?\nAnswer: 422154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -453*i + 453*i - 1452*i**2 to the form z + g*i**2 + x*i and give g.\nAnswer: -1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, -0.06, 0.1, 0, -2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -5, 64085, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 64 = -5*o, 0*h + 64 = 2*h - 2*o. Which is smaller: 33 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 y when two letters picked without replacement from occzzyq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5231483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4\/7 - 24712*n**3\/7 + 296112*n**2\/7 - 887904*n\/7 = 0. Calculate n.\nAnswer: 0, 6, 6166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 10911078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 4*r = 0. Suppose r = 4*a - a - 3*p + 12, -2*a = -p + 5. Let i be ((-30)\/20 + 2)\/((-2)\/(-4)). Sort -3, i, a in decreasing order.\nAnswer: i, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.06 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Let l be 10*((-2)\/(-4))\/1. Solve -x*t + 5*d = -10, 4*d - 10 = l*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**3)\/s)\/s*s)\/s)\/s*((s\/(s*s**3))\/s)\/s*s*(s**(2\/3)*s)**(-27) assuming s is positive.\nAnswer: s**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waaudjjjuj. Give prob of picking 2 u.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 128, 617, 1446, 2621, 4148, 6033?\nAnswer: 8282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*d + 32. Suppose -r = 5*n + 19, -4*r - d - 10 = n. Let m(a) = a**2 + 4*a + 2. What is the units digit of m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1)))**(-37))**(3\/8)*(v**(2\/7)\/v*v)**11\/(v**(-5)\/(v**(1\/8)\/v)) assuming v is positive.\nAnswer: v**(-185\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose -a - a + 3*w + d = 0, 5*a - 10 = -3*w. Suppose -5*o = 3*j - 3 + 4, -4*o = 2*j + a. Solve -c = -j*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -298\/7, 4, -89.\nAnswer: -89, -298\/7, -38, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 610*t. Let u(s) = s. Determine -m(g) + 40*u(g).\nAnswer: -570*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -55, -234, -2 in decreasing order.\nAnswer: 3, -2, -3, -55, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-eight thirds of a year?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*h + 148*h + 3*h**3 + 37*h.\nAnswer: 3*h**3 - 164*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 2. Let q be y(-6). Let j = q + 4. Suppose j = 5*x, 5*i + 0*x - 50 = 2*x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 6. Let k be g(5). Let d(z) be the second derivative of 7*z**4\/12 - 7*z. Give d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - m + 2, -3*y - m = -5 + 3. Suppose -3*b + 3 + 3 = y. Let d(g) = 5*g**2 - g. Calculate the remainder when 52 is divided by d(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**5 + 0*x**5 + 4*x**5 + 0*x + 0*x + 2*x**5 + (2 - 1 + 1)*(-3*x**5 - 2*x**5 + 6*x**5) - 262*x + 3316*x**5 - 78*x + 340*x.\nAnswer: 3321*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -413413000 rounded to the nearest 1000000?\nAnswer: -413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1852 - 1851.7. Put -2\/7, -0.37, f in ascending order.\nAnswer: -0.37, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30604279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 68322*s - 2801202. What is q(41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 1. Let v be z(-1). Let c(u) = -u - 2. Let j(m) = m + 1. Let f be 7 - 4 - (0 + 0). Let x(r) = f*c(r) + v*j(r). Calculate x(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(1 - -13) - (-22 + 18)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*q - 6 = 0, -f + 3*q + 19 = f. Let k be 2\/13 + (-74)\/(-26). Let a be (1 + ((-80)\/15)\/(-8))*k. What is the greatest common factor of f and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/2 - 17\/6. Let v = -0.822 - 0.178. Let p = -0.4 - -0.8. Which is the nearest to v? (a) m (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 797\/5243 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 35*p**2 + 411*p - 143. Determine y(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2480, -3636, -4792, -5948, -7104, -8260?\n\"Answer: -1156*d - 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/7)*l**(-18))\/(l*l*l**(3\/5)\/l*l)**(-7) assuming l is positive.\nAnswer: l**(37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 4*s**2 + 21*s - 128. Determine n(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5485 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.73 - -0.27. Let x = p - 29.1. Let w = x - -1.4. Sort w, -0.4, 0 in increasing order.\nAnswer: -0.4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(77)\/(sqrt(11)*-1) + sqrt(847)*-1).\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1025451444 (base 6) to base 16.\nAnswer: a67494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3364424 + 66.\nAnswer: 65.6635576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871895 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.961 - 507.639. Let v = o - 79.4. Let u = v - -588.523. What is u rounded to two decimal places?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 155\/62*((-6)\/8 - 542\/(-40)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*j = -30. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-78)*-13*(-2 + (-30)\/4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 30. Let a = -11 + v. Is 24\/a + 4\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(3*2\/36)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(-78)*21\/(-154)*(-77)\/14.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -6589?\nAnswer: -1317.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -2208\/61, -1.\nAnswer: -2208\/61, -1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -277 * 0.27.\nAnswer: -74.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iupp when four letters picked without replacement from {u: 2, i: 5, p: 6}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 0*b**2 + 0*b**2. Let j(x) = -11*x**2 + 0*x**2 + 7*x**2 + 2*x**2 - 4*x**2. Calculate q(j(v)).\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13864643\/272 - 50972. Let z = k + -13\/17. Calculate the common denominator of z and -77\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3))**(-24)*(w*w*w**(2\/13))\/w**(-2\/9))\/((w**1*w*w)**(2\/5)*(w*w**2*w*w)**(-14)) assuming w is positive.\nAnswer: w**(50998\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 336 = -13*z. Let q(r) = r + 4. Let n be q(-5). Let k = z + n. What is the greatest common divisor of 207 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 322165814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 1, g: 1}. What is prob of picking 1 x and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -137, 56, 431, 1048, 1967, 3248, 4951?\nAnswer: 7136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -599*d - 2. Let n(o) = -2*o. What is -9*n(i) - z(i)?\nAnswer: 617*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r + 13*r + 1 + 40*r**2 - 13*r. Is 3 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8291580 divided by -20\nAnswer: 414579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o - 42 = 0. Let k be 4\/3*1*-6. Does 6 divide o\/(-2) - (-4)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.47 + 39.53. Let x = f + -40. Which is the fourth smallest value? (a) 0.5 (b) 2\/9 (c) -0.05 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/(-56))\/((-156)\/364))\/2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512.055737 rounded to one decimal place?\nAnswer: 1512.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 q when four letters picked without replacement from rqsqqgsqgnsrqqg?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)\/(m\/(m*m**(2\/13)*m))*(m\/m**1)**(-49) assuming m is positive.\nAnswer: m**(-219\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1. Let x(n) = 3*n + 10. Let j be x(-3). Let l(s) = 2*s + 7. What is j*l(i) + 6*q(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4066 divided by -38.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 40 = 0, -348*h + 351*h - 62*l - 623 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 221.91897 rounded to 0 dps?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32970 and 57?\nAnswer: 626430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d. Let n = -13 - -14. Let i(z) = 1 - 25*z**2 + 22*z**2 - n. Determine i(w(u)).\nAnswer: -75*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.695 minus 0.4748856?\nAnswer: -28.1698856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17336361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 5*b + 5. Let r be 168\/40 - (-2)\/(-10). Let a be k(r). Calculate the common denominator of -111\/20 and (255\/(-200))\/(a\/12).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2280712? (a) 0.1 (b) 2 (c) 0.6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/3 - (3 + -6). Let d(r) be the first derivative of r**2\/2 + 3*r - 1. Let c be d(4). Solve c*u = q*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a factor of 268318495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -72 + -12?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 6*u - 207, u + 48 - 75 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -472.7 + 454.854. Round g to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1055945 and 440?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*k = 638729 - 619919 for k.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -15*f**2. Let x(u) = u - 3. Let s(k) = -3*k + 8. Let v(p) = p - 2. Let m be v(5). Let b = -116 + 124. Let r(d) = b*x(d) + m*s(d). Calculate y(r(q)).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1959*t**4 + 7*t**3 - 17*t**2 - 36*t - 73.\nAnswer: -47016*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((24888\/476)\/(-61))\/((-33)\/35))\/(10\/12)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153933255 is divided by 1810?\nAnswer: 1805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-96)\/(12\/8*-1) and 18?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 22. Calculate u(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 10*y**2 - 10*y - 6. Let t be a(-9). Let n be ((1\/1)\/t)\/((-5)\/(-75)). Suppose 0 = -n*j - 71 + 236. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.304 - 201.304. Let v = k + 201.362. Round v to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.26 - -23. Let w = -0.16 - q. Let m = 0 + w. Which is the smallest value? (a) -4 (b) m (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 21*z**2 + 19*z + 172. Calculate the smallest common multiple of i(20) and 392.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 31*v + 8. Give i(-3).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*i = -455*i - 1038 - 1796 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484*q + 129*q = 142*q - 16014 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(102)\/sqrt(6) - sqrt(17)) + -2*sqrt(612))*2.\nAnswer: -24*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(153)\/sqrt(9) + -5)*6 + (-2*sqrt(17) + 2 - (sqrt(102)*-1)\/sqrt(6)) + 1.\nAnswer: -22 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 10.94 (b) -0.06 (c) -596\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**3 - 5*i**2 - 5*i + 5. Let t(h) = 2*h**3 + 2*h**2 + 2*h - 2. Let j(m) = -3*b(m) - 7*t(m). Let u be j(0). Sort -4, 1, u.\nAnswer: -4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3180.8 + -3177.3891. What is u rounded to 2 decimal places?\nAnswer: 3.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36371 (base 11) in base 6?\nAnswer: 1042210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074*q - 2329*q + 229216 = 21633 for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14915816 and 786052?\nAnswer: 611548456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*n - 2 + 2)*(17 + 5*n - 17 + (6*n + 2*n + 3*n)*(-1 - 3 + 0)) to the form b*n**2 + x*n + p and give b.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.236 + 2.236. Let g = -8113 - -7374719\/909. Put 1\/5, x, g in decreasing order.\nAnswer: x, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.14. Let f = 2534\/3 + -25381\/30. Let c = -7\/10 - f. Put 0.4, c, n in increasing order.\nAnswer: n, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 10 = -5*s. Let g(d) = d**3 + d**2 - 2*d - 85. Let w be g(s). Which is bigger: w or -86?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 810572 and 616.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2199*i**4*w - 2*i**3*w + 162*i**2 + 2*i*w + 39*i + 6*w + 51 wrt i?\nAnswer: 26388*i**2*w - 12*i*w + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 308. Give g(-14).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3325 is divided by 568?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12597510 divided by 247010.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13926522 is divided by 2390.\nAnswer: 2382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 3523 (c) 0.1 (d) -21 (e) 0.2 (f) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -537881 at least as big as -537880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*d = 72*d - 144 - 2690 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 8)\/((-2)\/(-12)). Let n be o\/4 + (-7)\/(-14). Solve q + n = 5*h - q, -2*h = 3*q + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107492*a**5 + 2*a - 13599?\nAnswer: 2149840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 18 - 21 = q, 3*q + 4*q = 5*x - 5*q + 8*q + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*b - 690. Suppose 4*s - 2*n - 134 = 0, -4*n = -3*s + b - 50. Suppose s = 5*w - w. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.6*1954\nAnswer: 5080.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 4*s + 4, 419*s = u + 414*s - 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24 and -61\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2 (c) 990 (d) -1\/8 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91034?\nAnswer: 2, 23, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((5676\/(-3827))\/132)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157.83 >= -84\/599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.1 * 0.08.\nAnswer: -0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -251793.\nAnswer: -11\/251793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:16 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -11*q**3 + 5*q**2 - q - 1. Let z(j) = -5*j**3 + 2*j**2 - j. Let v(s) = -6*y(s) + 13*z(s). Let w be v(5). Sort w, 1, -5 in decreasing order.\nAnswer: 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9*y = 8. Suppose y*g + 20 = 4*g. Find the third derivative of -v + v - 25*v**3 - 34*v**2 + g*v**2 wrt v.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/4889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 20. Calculate m(-35).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2507*n + 2344. What are the prime factors of m(6)?\nAnswer: 2, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k - 12 = -5*m, 4*m = -3*k + 22. Let i(d) = 3*d**2 - 2*d + 1. What is i(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + a)*(-147 - 882 - 1130).\nAnswer: -2159*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-996382.\nAnswer: -298914.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52.6 and -84.3?\nAnswer: 31.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*x**4 + 4655 + 24*x**4 - 2*x - 12*x**2 - 13*x**4 - 8*x**4 wrt x?\nAnswer: 36*x**3 - 24*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1211 and 4.\nAnswer: -4844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((-4 - -4) + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/24390 and -19\/1809738.\nAnswer: 9048690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**2 + 608*o - 10234. Give k(80).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -955*d**2 + 12*d - 6. Let u(y) = 22919*y**2 - 286*y + 143. Calculate -143*o(p) - 6*u(p).\nAnswer: -949*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 10 = -3*n. Let y be 4\/(9 + 2*-1). Let j = -512 + 512.3. Which is the closest to j? (a) n (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13072401 and 2147121.\nAnswer: 7587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5356 = 17*t - 16508. Suppose -649*q = -t*q + 260785. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 7:29 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**4\/12 - 14*p**3\/3 + 27*p**2\/2 + 34*p. Suppose -190 = -5*w + 70. What is the remainder when w is divided by y(28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 5762*y\/3 + 665992\/3.\nAnswer: (y - 5644)*(y - 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*n + 0*n = -6, 2*n + 9 = 3*a. Suppose -3*k = q + 3, 3*q = -5*k - 12 + a. What is the tens digit of (-74)\/(6\/(-3 + k) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let m = 5976715\/264243 - -10\/12583. Let p = m + -67\/3. What is the third smallest value in -2\/5, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 f when three letters picked without replacement from {m: 2, f: 2, i: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 8359299 - 26959299. Round s to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j + 2*j + 3*j + j**3 + 3 - 3*j**2. Suppose 96 = 12*p + 20*p. Determine d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-2*l + 2*l**3 + 2*l)*(61*l - 30*l - 61*l).\nAnswer: 120*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -1\/6*z**6 - 1\/3*z**3 + 1\/30*z**5 - 14 - 11\/12*z**4 + z**2 + 0*z. Find the second derivative of g(c) wrt c.\nAnswer: -120*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2790, -22275, -75132, -178047, -347706, -600795, -954000, -1424007?\n\"Answer: -2781*m**3 - 18*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248 divided by 1248?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2010339*a**3 - 67108561.\nAnswer: 6031017*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61782*0.05536.\nAnswer: -3420.25152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59844417161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -880 - -866. What is the least common multiple of 50 and (-7)\/r*10\/3*57?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 3*n**2 + 2*n - 1. Let v be q(3). Let z(d) = 16*d + 176. Let y be z(-11). Are y and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 4. Let v(d) = 2*d + 48. Let g be v(-22). What is h(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p**2 + 33*p - 277. Let g(m) = 7*m**2 - 14*m + 139. Let h(l) = 11*g(l) + 6*q(l). Is 8 a factor of h(40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3839827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3) - (-4)\/4) + (-44)\/(-33)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3826530 and 964410.\nAnswer: 118622430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**5\/60 + 5*z**4\/24 + 5*z**3\/6 + z**2\/2 + z. Let y(w) be the first derivative of x(w). Is y(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*15\/2. Suppose 61 - 321 = -m*u. What is the remainder when 197 is divided by u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o. Let g = 8 - 8. Suppose 5*y - 2*u - 30 = g, -15 = -2*y - 4*u - 3. Solve o*k + 2*k = -y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/((-136)\/(-51))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Suppose 3*o = 4*o. Suppose -i + 3*i - 25 = n, 3*i - 2*n = 40. Suppose o*v - i = 2*v. What is s(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let q(n) = -4*n - 7. Let r(k) = 5*l(k) - q(k). Let v be r(0). Is -0.2 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5*o + 5942*b**4*o - 2*b*o - 12*b + 32*o wrt b.\nAnswer: 40*b**3*o + 71304*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 <= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 145.2 (b) 3 (c) -4105 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 + -10.82?\nAnswer: 150.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9590989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y + 2*y)*(-5 + 4 - 1) + 4*y - 4*y - y + (-y - 17*y - y)*(1 - 3 + 4).\nAnswer: -43*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -39. Suppose -2*m + i = 2. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*i**5 + 13*i**5 + 21*i - 11*i**5 wrt i.\nAnswer: 400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0 - g**3 + 5*g**2 + 0 - 4. Let i be v(5). Let t = 27 + -30. Which is the nearest to -1? (a) i (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/9, 0.1, -32549, -1 in decreasing order.\nAnswer: 1\/2, 2\/9, 0.1, -1, -32549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9783208?\nAnswer: 2, 29, 42169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*j = 226*j - 5278 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124704 + -52673. What is the ten thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -34, -50?\n\"Answer: -16*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2\/13, -8.86 in decreasing order.\nAnswer: 2\/13, -2, -4, -8.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002501925 rounded to five dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (8 + 2 - 25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4692867 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.07 + 11.032. Let i = -0.038 - u. What is the second smallest value in 0.5, i, -2\/53?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295*-0.69\nAnswer: 203.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20707 is divided by 80.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + l. Let k(d) = d - 12. Let p be 15\/5*(-11)\/(-3). Let r be k(p). Let y(x) = -6*x - 2 - 5*x**2 + 2*x**2 + 4. Determine r*y(w) - 5*t(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 + 6*q**3 - 4*q**3 - 12*q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 146, -18\/113, 0.4 in decreasing order.\nAnswer: 146, 0.4, -18\/113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -10*r**2 - 8 - 8*r + 3*r**3 + 4 - r**3 - 3*r**3 - 16. What is q(-9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(-5\/3)*l*l*l*l*l\/l**(-1\/4)*(l**(-2))**37 assuming l is positive.\nAnswer: l**(-781\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 8\/(2\/(-1)). Let c(y) = -y**3 - 8*y**2 - 8*y. Let k be c(d). Let x = -12 - k. Solve 8 = -4*o - x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -779, -1560, -2351, -3158, -3987, -4844?\nAnswer: -5735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 - 145.96. Sort 5\/6, g, -0.1, -2 in decreasing order.\nAnswer: 5\/6, g, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/3)\/(2316\/(-330) + 7)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*v - 19*v - 4*v + 3*v**2 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/11, -1, 3\/10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21256803104 - 0.1\nAnswer: -21256803104.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35124 and 64394?\nAnswer: 386364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Suppose -4*r + 3 = -m. Is r at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 9:04 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = g - 4, 7*r = 5*g + 6*r - 16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7680673.93 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g**4*z + 12280*g**3 + g*z - 451993*z with respect to g.\nAnswer: 20*g**3*z + 36840*g**2 + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**8*w*w**(-10)\/w)\/(w**(1\/2)\/w)**(1\/48))**(14\/3) assuming w is positive.\nAnswer: w**(-1337\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**3 + 6*t**2 - 3*t - 10. Let i(x) = -2*x**3 - x**2 - x. Let u(f) = 4*i(f) - z(f). What is the least common multiple of u(-10) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103132951.\nAnswer: 1123, 91837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 3*c - 48. Suppose -10 = -4*o - 2*y - y, -2*o = y - 4. Let g be ((-2)\/5)\/(o\/(-30)). Calculate the highest common factor of g and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2412 and 675288?\nAnswer: 45244296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47552 - 47542. What is the greatest common divisor of 54490 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) -1 (c) 1\/3 (d) 2\/15 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 370 + 385 - 3*t - 732 + t**2. What are the prime factors of h(-24)?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101 + 157. Let k = 127 + -57. Calculate the highest common divisor of k and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71061625?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 60*g**2 - 173591*g + 173591*g - 27*g**3 = 0. Calculate g.\nAnswer: 0, 20\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 + 839*s**3\/2 - 2511*s**2\/2 + 2509*s\/2 - 418.\nAnswer: -(s - 836)*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-88)\/20*(6 + -9 - 2) and 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2936 or 179039\/61?\nAnswer: 2936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m + 4. Let i be j(4). Let y = 8 - 11. Suppose -151 = 18*g + 47. Put y, i, g in decreasing order.\nAnswer: i, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-7) - (-429)\/770\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -566732, -566731, -566730, -566729, -566728, -566727?\n\"Answer: q - 566733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3718 = 6*y - 154. Let h = -245 - y. Suppose 135 + 27 = 2*u - 4*k, 3*k = 4*u - h. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7746 by -531.\nAnswer: -2582\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o**4 + 112*o**3 + 15*o**2 - 2942*o?\nAnswer: -84*o**2 + 672*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/3*(7 + 2). Let q = a + 109\/3. Let g = -3 + 4. Are q and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t + 12. Suppose -4*d - 204 = -5*u, 0*d + 52 = u + 2*d. Let q(h) = -10*h**2 - 11*h - 11. Let l(g) = -g**2 - g - 1. Give t*q(b) + u*l(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 9948.\nAnswer: 69636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k**3 + 26*k**2 - 41*k + 387. Does 171 divide y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 382*p - 5087. Determine q(369).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116364 + 115689 = 25*r for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 10:53 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -127721\/5 - -25634. Let z = 2281\/20 - p. Find the common denominator of z and 57\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 - -154. Let k be ((-3)\/(-2))\/(9\/(-48)). Let l = z - k. Calculate the remainder when 20 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 708 (base 9) to base 14\nAnswer: 2d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 892573?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 4:34 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 31311*d + 31311*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/9 - 4946*n**2\/9 + 283480*n\/9 + 65192 = 0. Calculate n.\nAnswer: -2529, -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 1.585354\nAnswer: -0.01585354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Let f be (-7)\/(-3)*(-13)\/(-91). Let w(c) be the second derivative of f*c**3 + 0*c**2 + 0 + 2*c. Determine l(w(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 3, 1, -1 in decreasing order.\nAnswer: 3, 1, -1, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - -87)\/(56\/65 - 16\/40) - 13\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4393, -8810, -13227, -17644?\n\"Answer: -4417*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3208.62171 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2. Let p(i) be the first derivative of 34*i**3\/3 + i**2\/2 - 5664. Give p(m(a)).\nAnswer: 4114*a**4 + 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:57 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 469926001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30932 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 23\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3106 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 406.9463 to the nearest integer.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 283521 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcdc when four letters picked without replacement from {b: 3, c: 4, d: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*(a\/a**1)\/a)\/(a**2*a*a\/((a\/a**(-1))\/a)*a) assuming a is positive.\nAnswer: a**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44255, -44253, -44251, -44249, -44247?\nAnswer: -44245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/7, -3, 0.2, -5, 124, -6.7, -0.3?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.9 and -10?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.8 - 17. Let o = -0.1 + 0.6. Let j = o + t. Which is the nearest to -0.1? (a) 0.4 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 + o**2 - o**2 + (0 - 3 + 2)*(-2*o**5 + 0*o**3 + 0*o**3) + 2*o**5 - 1 + 1 - 3*o**5 + 0*o**5 - o**5.\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196443814*n**3 - 208105823*n.\nAnswer: 1178662884*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2115)\/27)\/((-40)\/24) - 48\/(-4)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 68.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y**2 + 5*y**2 + 4*y**2 - 8*y**2.\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 12*p**2 - 5*p + 16. Let j be a(-8). Let l = j - 204. What is the greatest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 equal to -89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**4\/8 - 7*q**2. Let g(l) = -3*l - 3*l + 5*l. Give j(g(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2165*s*w**2 + 4*s*w + 2*s - 38*w wrt w.\nAnswer: -4330*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 3*b**4\/16 + 115*b**3\/24 - 13*b**2\/4 - 407*b + 6. Let g(p) = 0. Calculate p.\nAnswer: -13, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**8\/20160 - q**7\/840 - 2*q**5\/3 + 38*q**2. Let s(r) be the third derivative of d(r). Let w = 4 - 9. Calculate s(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93820.\nAnswer: 2, 5, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*y**3 - 2*y**2 + 10*y**3 + 0*y**2 - 15*y**3 + 2*y as r*y + x*y**3 + p*y**2 + b and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 840644, 840630, 840606, 840572, 840528, 840474?\n\"Answer: -5*m**2 + m + 840648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -458 - -1458. Calculate the greatest common factor of y and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 0, -5*h - 3*l + 3 + 17 = 0. What is the hundreds digit of (-35)\/h + 1134\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 129*n**2 - 779*n - 143. Calculate t(70).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 6366 = -12*g. Let l = g - 1059. Let m(u) = -u**2 + 2*u. Let q be m(2). Sort -14, l, q in descending order.\nAnswer: l, q, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37435 smaller than 37712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*d + 890 = 37*d. Calculate the remainder when ((-2 - 21)\/1)\/(-1) is divided by 24\/84 - d\/14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + 0.05. Let z = c - 3.53. Let t = -3.49999927 - z. What is t rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3. Let p(v) = -v - 6. Let y(k) = -5*f(k) - 3*p(k). Let o be (-2)\/(-6)*(-18000)\/1500. What is y(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 582\/5 - 85609\/735. Calculate the common denominator of -79\/30 and k.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 15*y - 12. Determine a(-11).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -4 - -2) + 3 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 420381.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t**2 - 21*t + 1. Let j(z) = 8*z**2 - 29*z + 2. Calculate 8*d(k) - 5*j(k).\nAnswer: 8*k**2 - 23*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3417 - -4?\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 2\/5 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgd when three letters picked without replacement from {b: 1, d: 1, r: 1, g: 5, p: 10, x: 1}?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.0798 (b) -5 (c) 33\/2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 57*v**3 - 153*v**2 - 147*v - 48.\nAnswer: -3*(v + 1)**3*(v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95822, 95818, 95814, 95810, 95806, 95802?\n\"Answer: -4*h + 95826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31 - -19)\/192*-20. Solve -2*j + g*j**4 + 1\/4*j**5 - j**2 + 0 + 3\/2*j**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 6*o**2 + 6*o - 2. Let m be t(-7). Let a(z) = 2 + 1 - 3 + m*z. Let j(r) be the first derivative of r**3\/3 + 345. Give j(a(x)).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14*n + 19. List the prime factors of f(-12).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 2*c**2 + 9*c + 5. Let w be s(-6). Suppose 38*k + w = 19*k. Suppose 4*m = -11 - 9. Is m greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/7 - 724*z\/7 - 7040\/7 = 0.\nAnswer: -352, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -57*x**2 + 60*x - 75. Let a(n) = -8*n**2 + 8*n - 10. Let k(f) = 30*a(f) - 4*t(f). Let q(g) = 15*g. Determine k(q(y)).\nAnswer: -2700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113220108.\nAnswer: 2, 3, 1181, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(720) + -1 + sqrt(720) + -2 + -1 + sqrt(720) + -3 + ((sqrt(45) + sqrt(5))*-6 - (-3 + sqrt(20)\/sqrt(4))))**2.\nAnswer: 104*sqrt(5) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 38. Let s be -2*20\/r*-1. Suppose 4*h - h = -f, 2*f = s*h + 33. Is f smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-7))\/((-2)\/(-14)). Let t(p) be the second derivative of p**3\/6 - p**2 - p. Let x be t(2). Solve x = k - v*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) 0 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37639969 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w - 6. Let x be y(-6). Let o be x\/18*(-6)\/7. Suppose h - 4*c - 43 = c, -o*h + 172 = -5*c. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45857*x + 45853*x = -l + 9, 5*x + 30 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347438?\nAnswer: 2, 7, 13, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -24108*h. Let y(s) = -21*s. Determine d(y(w)).\nAnswer: 506268*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 9*c - 1. Let b be (-425)\/(-35) + 6\/7. Suppose -3*r + 45 = -8*r. Let i = r + b. Calculate j(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.679 times 1.48?\nAnswer: -70.56492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*s - 8, -3*z + z = 2*s + 12. Let b(y) = 7*y**2 - 3*y - 3. Let i(m) = 2*m + 0*m + 2*m**2 - 8*m**2 + 2. Calculate z*i(o) - 4*b(o).\nAnswer: 2*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39426 by -19713.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 58749592 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -698344\/9 + 77496. Let w = 98 + i. What is the common denominator of w and (-6)\/(-4)*38\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 32*b**2 - 22\/5*b**5 + 108 - 15\/2*b**4 - 1\/3*b**6 - 72*b + 62\/3*b**3. Let t(i) = 0. What is i?\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 3*q**2 - 8*q + 12. Suppose 9 = -3*m, 2*x + 15*m = 10*m - 5. Let o be h(x). Solve -o*w + 18*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21)\/35 - 253\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 12. Suppose 5*f + 26 + 9 = 0. Let n be y(f). Sort n, 4, -4.\nAnswer: -4, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 + (-32)\/(-14). Suppose -63*s + 23 = -g - 54*s, 5*s + 85 = 5*g. Sort -4, g, -5, u.\nAnswer: -5, -4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 8*y = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-2 + -3 - -2). Suppose 16 = d + 7*d. Let g(u) = 3*u + 80*u**2 + 89*u**2 - 168*u**d. Calculate g(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 5*c + 2*c - 17 + 18*c. Let b(m) = 4*m - 3. Let k(n) = 34*b(n) - 6*q(n). Let i be k(0). Which is smaller: i or -2\/69?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3870 is divided by 185?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 16*b - 21*b = 100, 3*n - 155 = 5*b. Calculate the remainder when 164 is divided by n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26134 + 1005 = -52*i + 10179. Calculate the highest common divisor of i and 1261.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -10.74. Is 1 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*m**2 + 1017185*m - 39630 = 0. Calculate m.\nAnswer: 3\/77, 2642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a = 2457 - 2721 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 552512 times 5\nAnswer: 2762560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(2\/25))\/h))**(-7\/2) assuming h is positive.\nAnswer: h**(-161\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/127, 2\/11, -4\/7, -0.3.\nAnswer: -4\/7, -0.3, -1\/127, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 531, 1207, 2321, 3867, 5839, 8231?\n\"Answer: -f**3 + 225*f**2 + 8*f + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 8, 0 = -5*u - 4*h + 27. Suppose u = -7*z + 66. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400323 is divided by 6904?\nAnswer: 6795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1482.88 - -1564. Let v = d + -81. Let g = v + -11.12. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/5 (b) 1795 (c) -215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/6435459 and -50\/43191.\nAnswer: 6435459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 31?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2*sqrt(2736))**2 - sqrt(2736)) + sqrt(2736) + (sqrt(2736)*-2*-2)**2.\nAnswer: 54716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/((b\/(b\/(b**(-1)\/b)*b))\/b)))\/(b*b\/(b**(6\/5)*b)*b))\/((b*b**(2\/5))\/b)**(-2\/13))\/((b**(-1))**(-2\/47)*(b**(-1))**(2\/51)) assuming b is positive.\nAnswer: b**(-738796\/155805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = s + 30, 0 = 2*m - 3*s + 5*s + 12 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let n be s\/(-4) + 6\/28. Let q = 27.289 - 25.289. Which is the second smallest value? (a) n (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*(-12)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 798 - 410. Let b = 597 - q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**4\/24 + j**3\/6 + 73*j**2\/12 + 55*j\/2 - 2418. Solve b(o) = 0 for o.\nAnswer: -5, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10) - ((-59)\/10 + 8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 + 0 + 0 - 3) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 60, 121, 186, 243, 280?\n\"Answer: -2*x**3 + 20*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4004 = -5*u - f, -9*f - 3204 = 4*u - 8*f. List the prime factors of (u\/15 - -3)*-30.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 119.48 to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**9\/945 + z**5\/30 + 5*z**4\/8 - 5*z**2. Let x(r) be the second derivative of a(r). Differentiate x(y) wrt y.\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9*j - 42 = -4*j, 4*j = -5*m + 268. Calculate the highest common divisor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, -28, -0.3 in increasing order.\nAnswer: -28, -1, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/4, 2\/3, -19\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1191 (b) 0.01 (c) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -365.\nAnswer: 8\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -407 - -493. Calculate the remainder when n is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 33. Suppose 0 = -18*h + 10*h + 1024. Suppose -t*q = -q - h. Calculate the greatest common divisor of 32 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, s: 8}. What is prob of picking 1 s and 1 f?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 10*u**2 + 12*u**2 + 2*u - 3*u**2 - 1. What is s(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 80 (b) 4 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 44\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -487 - -490. Let c be (-2)\/((10\/j)\/5) - -48. Calculate the highest common factor of c and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2654*r - 29 = 2655*r, -m - 2*r = -29. Calculate the remainder when 3646 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(576))\/((sqrt(112)\/sqrt(2))\/sqrt(7)))**2 + -4 + 2.\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25 + -1.85. Which is the nearest to 0? (a) 5 (b) q (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (12\/(-15))\/(9 - 8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.03066 or 1\/146?\nAnswer: 1\/146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) - 40\/3. Let k be 4\/(-2) - (-17 - f). Suppose -k*o + 76 = 17*o. Which is the nearest to 0.1? (a) 0.3 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y. Let p be x(4). Let f = -9\/2 + p. Which is the closest to f? (a) 0 (b) 1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655302354 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/8 + (-1119)\/(-44). Let r = -552 + 527. Let y = x + r. Put y, -5, 2 in decreasing order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n**5\/3 - 288*n**4 - 4594*n**3\/3 - 1536*n**2 + 4568*n\/3 + 1824 = 0. What is n?\nAnswer: -36\/13, -2, -1, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oijxoeijenjnioei. What is prob of picking 2 i, 1 n, and 1 x?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -2 (c) 1\/8 (d) 0.5 (e) 0.19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 22*l**2 - l - 3. Let m be p(22). Does 6 divide ((-565)\/m - -2) + 9\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -302*b**3*l**3 - b**3*l - 2*b**3 + 2*b**2*l**4 + 11*b*l wrt l.\nAnswer: -1812*b**3*l + 24*b**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 316*z. Let r(t) = 51*t + 76. Calculate r(v(u)).\nAnswer: 16116*u + 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45755 and 3755.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/14 and 103\/5162028?\nAnswer: 36134196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8064, 8142, 8222, 8304?\nAnswer: 8388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-1 - (0 + sqrt(13))*3)**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12670 - -12763. Calculate the highest common divisor of b and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (36514*7*1)\/(-1). Suppose -116*s + 232 + 116 = 0. Let u be m\/6 - 0 - 1\/s. Round u to the nearest 1000.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/2)\/((-6)\/56) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**4\/7 + 4888*y**3\/7 + 200292*y**2\/7 + 2429136*y\/7 + 9175680\/7 = 0. Calculate y.\nAnswer: -1180, -24, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000842184396 to 7 decimal places.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1104 and 2928?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -25 + -44 + 129\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -784079 divided by -739?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 4*v**2 + 424 + 27*v**3 + 163.\nAnswer: 27*v**3 + 587","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(7\/3)*h)\/h)**(-5\/18))**40)**(2\/7) assuming h is positive.\nAnswer: h**(-2000\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5783 and -103?\nAnswer: 595649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.32714m?\nAnswer: 0.00432714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 94 - 114 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 6. Suppose 8*q - 3*q - 37 = -3*j, 0 = -2*q + j + 17. Let d be i(q). Suppose 0 = 3*n + d*n - 40. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -2*r**3\/3 - r**2\/2 + 2*r - 3. Let x(w) = -5*w**2 - w + 4. Let z(d) = -7*h(d) + 3*x(d). Give z(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 20 = m. Suppose -4*b + 48 = -5*u + 3, -m*b + 54 = -2*u. Solve -g + b = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/b**(-5\/3))\/(b**0\/b)**19 assuming b is positive.\nAnswer: b**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19858 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/48*6*-16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/30)\/((-4)\/(-60)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 2, t: 2, x: 2, s: 5, y: 1}. Give prob of sequence ete.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 45670208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-41 - -75) - (39 - (-3 + 2))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 4*n**2 - 5*n - 10. Let p be s(-4). Suppose 20 = 4*a + a. Let r(w) = 2*w. Let d be r(1). Solve -a*f - d = p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/69692 and 127\/1330?\nAnswer: 348460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/3, 477, -333 in descending order.\nAnswer: 477, 2, -1\/3, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762946689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -204247, -204244, -204241, -204238?\n\"Answer: 3*a - 204250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 4 + 110 + -1. Let k = g - 102. Let i(p) = 3*p + 15. Let v be i(8). Calculate the highest common divisor of v and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4bb4 (base 12) to base 3.\nAnswer: 102211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/35 + (-5593)\/(-990). Let x = 14\/495 + k. Let o = 35\/4 - 129\/20. Find the common denominator of x and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23933 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -1\/959?\nAnswer: -1\/959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + 3 + sqrt(320) + 5 + -4 + sqrt(320) + sqrt(320) + -2 + -2 + sqrt(320) + 1*sqrt(320) + sqrt(320) + -2)**2 + -1)*-1.\nAnswer: -15683 + 224*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.0075 + -15. What is w rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjlhfhhlthufujhh. What is prob of picking 2 f and 1 t?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.81 - 53.19. Let f = 53.9 + i. Which is the third smallest value? (a) -0.3 (b) 3 (c) -1\/6 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31108 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, 2\/5, -85, 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x + 1. Let w be h(2). Let j(d) = -d - 3. Let n be j(w). Find the second derivative of -4*k + 0*k**n + 2*k - k**2 wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4410583561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59909?\nAnswer: 139, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3726104939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.18713km to micrometers.\nAnswer: 55187130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*s - 3*w - 8, s - w + 7 = 0. Let i(z) = z**3 - z**2 - 1. Let t be i(0). Suppose -a + 6 = 3. Sort a, t, s in increasing order.\nAnswer: s, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(-4) - (-75 + 63))*20?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g - 1. Let n be m(4). Suppose 3*c = -p + 59, -3*c + 0*p = 5*p - n. Let x = 30 - -10. What is the remainder when x is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 4, t: 1, l: 1, f: 9}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -217 - -220. Suppose -1977 = -10*f + 9*f - 4*x, 0 = o*f - x - 5918. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mlml when four letters picked without replacement from lllaalmlm?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = -18. Let k = -8 + p. Let m be (k\/2)\/((-1)\/2). Which is greater: m or 6\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302991127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 907*b**3 + 2*b**2 - 5*b - 4. Let h be w(-4). What is h rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-28) - 4\/21*-12. Let u be (-1 - 441\/(-91)) + j*-1. Factor -u*l - 8\/13 - 10\/13*l**2.\nAnswer: -2*(l + 2)*(5*l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-15))\/(8\/(-10)). Determine x, given that -1\/2*x**5 + 0 - b*x**4 - 1\/2*x**2 + 0*x - 3\/2*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2629890 (base 10) in base 16?\nAnswer: -282102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(833) + (sqrt(17) - (sqrt(1700) + 1*sqrt(1700))) + -6*sqrt(68)*2)**2.\nAnswer: 72*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 3172 = a - 5*u, 4*u = 4*a - 12316. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -320*h**4 - 1611120*h**3 - 2040744605*h**2 - 32343234000*h - 128961800000 = 0. Calculate h.\nAnswer: -20075\/8, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3924 divided by -327.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -23 - 159*f - 74*f + 22 + 66*f. Let v(x) = -4*x**2. What is v(i(l))?\nAnswer: -111556*l**2 - 1336*l - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + f + 12*f + 93 - f.\nAnswer: 12*f + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/3*6\/(-4). Calculate the common denominator of 1\/2 + 30*1 and 2 - 4\/(v\/57).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 11885 (c) 28 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12160 (b) -1\/3 (c) 0.05 (d) -3\/104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 7.48. What is d rounded to 1 decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 8:40 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7))**(-8\/7)*(m**(4\/3))**(-2\/7) assuming m is positive.\nAnswer: m**(40\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15714 and 3783.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 24\/3*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 9*w + 51. Put w, 2, -5 in increasing order.\nAnswer: -5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1042172361328*p**2 - 2315112*p - 9\/7.\nAnswer: -(2700964*p + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/12 and -97\/24485492?\nAnswer: 73456476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 636, 5130, 17326, 41076, 80232, 138646, 220170, 328656?\n\"Answer: 642*k**3 - k**2 + 3*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169094547?\nAnswer: 3, 19, 109873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 28 = -3*l, -32 = -2*y + 6*l - 11*l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 766.3 less than -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 289955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546995.\nAnswer: 5, 31, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3485 - -3487.009. Let l = c - -30.511. Let i = l - 32. What is i rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2210 and 1326?\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/17, 5, -5, 0.2 in increasing order.\nAnswer: -5, 0.2, 14\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44573 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*y**2 - 20*y**2 - 47*y**2.\nAnswer: 31*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -10. Solve 0 = 4*h + x*j + 2*j - 37, -4*h = -4*j + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 4:31 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 33*x - 290. Solve x*m + 22 = 54 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 9) in base 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 11. Let r be p(8). Let y(g) = 16*g + 38 - 18 - r. What is y(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*a + 2142, -8*t + 5*t + 414 = a. Let l be (-69)\/(-8 - a\/(-54)). Calculate the greatest common divisor of 46 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 4*c - 5 + 9 = 4*y - 12, 2*c + 19 - 34 = -3*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 26 - 72. Let i = g + -1. Suppose -2*s - 5 = 1, 4*a + s = 329. Calculate the remainder when a is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/27, -6\/7, -0.11877, -2\/3 in ascending order.\nAnswer: -6\/7, -2\/3, -0.11877, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-57)\/2*6\/(-9). Suppose -76 = -k*w - 0*w. Let j = 0.3 - -0.2. Which is the nearest to -1\/4? (a) -4 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597 = -4*i - 3*q, -4*i + 0*i = 2*q + 602. What are the prime factors of (-2)\/(-9) + (-65144)\/i?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(5\/(-2)))\/(33\/(-231))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - (21 + -45 + 48)) + (1 - -7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1910535 and 1042110.\nAnswer: 11463210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:34 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -4 (c) -41\/10 (d) 1.1 (e) 192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z**(-2)*z))**15)**(11\/3)\/((((z*z*z\/z**(1\/11))\/z)\/(z*z*z\/((z*z*((z**(6\/11)*z)\/z)\/z)\/z)*z))\/(z**(1\/11)\/z**7)) assuming z is positive.\nAnswer: z**(1756\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570 and 114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -90, -81, -70, -57?\n\"Answer: w**2 + 6*w - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6788.038 minus 4?\nAnswer: -6792.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 527*y - 527*y + 1202*y**3 + 4*y**3 - 2*y**3 + 2*y**3 + (2*y - 2*y - 3*y)*(-1 + y**2 + 1) in the form h*y**3 + t*y + v*y**2 + w and give h.\nAnswer: 1203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45365631 to the power of 1\/2, to the nearest integer?\nAnswer: 6735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063 divided by -5?\nAnswer: -1063\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*q**3 - 137*q**3 - 100*q**3.\nAnswer: -288*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.296, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -324.517 + 350.49. What is p rounded to 0 dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxhmhhhdhdldxphhhh. Give prob of picking 1 h, 2 m, and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 12*j**2 - 16*j**3 - 15*j**3 - 12*j + 35*j**3 - 4*j**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693 and 25137.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1750*-17624\nAnswer: -30842000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + r**2 + 20*r - 2. Let q(w) = -24*w + 216. Let y be q(9). Let n be k(y). Put n, -22, 1\/6, -3\/5 in descending order.\nAnswer: 1\/6, -3\/5, n, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -749 + 24*m + 749 + 56*m - 14*m + 14*m + (5 - 2 - 5)*(-2*m + 4*m - 4*m).\nAnswer: 84*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -423243003?\nAnswer: -423243001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1045385 (base 13) to base 5.\nAnswer: 2231441104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -1\/4, 1\/3, 1\/7, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by -3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-3) + 5\/45*3. Calculate the common denominator of 28\/33 and (3\/x)\/((-27)\/(-339)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4814732 > -4814733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(50)\/sqrt(5) + sqrt(10)) + (1*sqrt(539))**2.\nAnswer: sqrt(11)\/2 + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (80\/96 - (-318)\/(-252))\/(1\/(-7)). Let i(x) = -52*x - 8. Let q(w) = 17*w + 3. Calculate f*i(c) + 8*q(c).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71138 or 213410\/3?\nAnswer: 213410\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 21 + 91 = 0. Let a be -2 - 6\/9*30\/(-20). Calculate the common denominator of -57\/7 and ((30\/u)\/5)\/(a\/4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15253 or 15260?\nAnswer: 15253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145988*f*k**3 + 13351*f*k**2 - 4*k**2 + 1 wrt k?\nAnswer: 875928*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1654 * -55.\nAnswer: -90970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0.075411513276?\nAnswer: -3.075411513276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 + -178 - 1 - (-2 + -1 + -1)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 3*f**2 + f**3 + (f + 3 - 3)*(f**2 + f**2 - 4*f**2) - f**3 + 3*f**3 - 3*f**3 + (23*f**3 + 16*f**3 - 7*f**3)*(-6 + 5 + 11).\nAnswer: 318*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 - 644 = 3*a - 4*u, 0 = -4*a + u - 767. Suppose 15*r - 47*r + 11861 = -2891. Let s = r + a. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - -1) + (-22)\/11. Suppose -5*q = -l - 4, -5 = 4*l - m*q + 11. Is 2\/l*(-6 - 66) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -50. Let s(d) be the first derivative of -d**3\/3 - 21*d**2\/2 - 7*d - 1. Does 23 divide s(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/4 (b) 28 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 6:40 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (33\/3)\/(-4 + (-1045)\/(-261)). Let q be 2\/22 - ((-2880)\/h)\/(-10). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4\/27 - 4*q**3 - 38*q**2 + 400*q - 1. Find m such that d(m) = 0.\nAnswer: -3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d + 7. Let o(x) = -4*x - 5. Let c(t) = 2*g(t) + 3*o(t). Let v = -5 + 3. Let u be 1 + v - (-2)\/(-2). Calculate c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742099 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 + 9*h + 9*h + h**2 - 2 + 6*h - h**3 - 27*h to a*h**3 + x + r*h**2 + j*h**4 + c*h and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1704 and -113\/992864?\nAnswer: 2978592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 9769620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*y - 155*y + 344 = 3*l, 0 = 5*l + 4*y - 568. Calculate the smallest common multiple of l and 42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31548 - 4952 = -5*x. Round x to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11382 + -9296. Are s and 2086 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/2 + 1695*t**4 + 35349*t**3 - 85964*t**2 - 367083*t\/2 + 232461 = 0. Calculate t.\nAnswer: -3369, -23, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.15447 from -1117653931.\nAnswer: -1117653930.84553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 22*l - 5. Let h be 86\/(-2) - (l - 0). What is h rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -756235?\nAnswer: 756234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-496 - -476) + 61 + (2 - -3).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (174\/(-12))\/((-8)\/32). Calculate the greatest common divisor of 87 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 3) in base 12?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 23\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -0.14 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 783263 a multiple of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 25646118*d - 113694. Let p(j) = 2707*j - 12. Calculate 2*h(v) - 18949*p(v).\nAnswer: -2707*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + w. Let f be s(4). Let u = 63 + f. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - (-14)\/(-14))\/(1\/7). Suppose x + b = 2*l, 6 = -2*x + 4. Calculate the remainder when l is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 4*s - 28, 32*s = -r - 194 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 7. Suppose -u + 2*i = -10, -4*u + 4*i = -34 + 14. Suppose u*n - 4*n - 8 = 0. Is c not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + (sqrt(72) + sqrt(72)*-2 + sqrt(72))\/sqrt(4) + 4)*-6*-4)**2.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111.3 - 111. What is the fourth biggest value in 5, -0.12, 0, k?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*i**2*l*s**2 - 2*i**2*s**2 + 18*i**2*s + 26*i*l*s**2 - i*s**2 - l + 10 wrt i?\nAnswer: -112*l*s**2 - 4*s**2 + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -0.03 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(sqrt(99) + sqrt(99) + sqrt(99) + sqrt(99)*-1) - sqrt(99))\/(sqrt(576)\/sqrt(4) - sqrt(9)).\nAnswer: 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 491, -5, 5, 4, 0 in increasing order.\nAnswer: -5, 0, 4, 5, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 5:03 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -44141577\nAnswer: 1\/14713859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 19. Suppose 0 = 2*o + 4 + 12. Calculate x(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2663120 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 2:15 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990 is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -7 - -15) + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1023 - -9. What are the prime factors of t?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362484?\nAnswer: 2, 103, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123*w**3 - 559*w**3 - 563*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**1*f)\/f)\/f)**(3\/4)*(f\/(f*(f*f\/(f**(7\/3)\/f))\/f*f))\/((f\/(f\/(f\/f**(-2))))\/f*f) assuming f is positive.\nAnswer: f**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.119, -4, -1\/4, 11?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 900168 by -1.\nAnswer: -900168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*g - 12, q = -5*g - 0*g + 6. Calculate the greatest common divisor of 4 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*1\/4 - 10\/6. Which is the third smallest value? (a) -5 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 - 93. What are the prime factors of m?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011101101010011110 (base 2) to base 12\nAnswer: -27187a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let w = 1 + v. Let h = -239 - -241. What is the closest to 1 in w, h, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.1, -6\/7, 0.6, -5, 89.3, 4, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 1)*(4 - 3 - 2) + 2 + 1 - 4 - 5 + 8 + 21)*(m - 3*m + 0*m + (2 - 2 - 2)*(0*m + 0*m + 2*m) - 3*m + 2*m + 0*m).\nAnswer: -168*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:06 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6923556 and -73\/13847112?\nAnswer: 13847112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 387 = f, 84 = -5*z - 2*f + 570. Let h = 22 - 37. Let o be 10\/h - 38\/(-3). What is the highest common factor of o and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6448*w - 4*w**2 - 6448*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5568 and 693912.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.56 + -28.66. What is the nearest to 3 in -3\/8, -3, q, -2\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2289*b - 1819. What is the units digit of n(24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.8 + 1.3. Let u = o - 27.5. Let k = 8 + u. What is k rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -15, -5, -1, 3 in descending order.\nAnswer: 3, -1, -5, -15, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (246*p**2 + 245*p**2 - 497*p**2)*(-3*p + 2*p + 0*p)*(2 + 0*p - 3 + p)*(-16 + 16 - 5*p).\nAnswer: -30*p**5 + 30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9451*p - 189705. Calculate h(-20).\nAnswer: -685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - -2)*12\/24. Let y = 5 - d. Let t(g) = g**2 - g**3 - 20 + 3*g + 4*g + 4*g**y + 14. Give t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1501, 3666, 7275, 12328, 18825?\n\"Answer: 722*z**2 - z + 780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 6) + 5 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 divided by -2?\nAnswer: -343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 71 = 2*o - 114 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17311 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*k + k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-6))\/d*d)\/d)**(-11)*((d\/d**(3\/8))\/d*d)**(1\/55))**5 assuming d is positive.\nAnswer: d**(29045\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13131 + -13120. Suppose -4*a + 20 = 8. Suppose 2*r + a*r - 100 = 0. Calculate the remainder when r is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*x + 130*t - 67 = 66*t + 7*t, 69 = -3*x - 3*t for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -48.77. Let k = -0.4 - p. Let s = k + -0.33. Which is the biggest value? (a) -5 (b) s (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 k when three letters picked without replacement from ftpktttkkptfftfttt?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13731.\nAnswer: 3, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 + 208. Let s be (252\/(-5))\/((-12)\/w). Let t = -253 + s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -586.9669 + 587. Let b = 3.1631 - y. What is b rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*s - 25855, 3*b + s - 11822 = 3680. List the prime factors of b.\nAnswer: 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 - 246 - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -32. Let m(w) = -w**2 + 8*w + 10. Let n be m(8). Let d be 0 + 22\/5 + (-4)\/n. What is the biggest value in -8, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from morrrromoorrlrr. What is prob of sequence ml?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15428719 - -3.\nAnswer: -15428716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4)*l\/(l**0\/l*l))\/((l\/l**0)\/(l**1\/l)) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pny when three letters picked without replacement from {w: 6, p: 1, n: 4, z: 4, q: 2, y: 1}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 161838255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298183 is divided by 361.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(72) + 3 - sqrt(72))**2 - (sqrt(98) - 3*((5 + sqrt(98))**2 + sqrt(98))).\nAnswer: 224*sqrt(2) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 5*i**2 + 6*i + 7. Let n = -15 + 11. What is the remainder when t(-6) is divided by (-14)\/n + 4\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - a + 0 + 3*a**2 - 2. Let k be t(2). Suppose -3*o + 36 = 4*j - 0*o, -3*j + 2*o + 10 = k. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-4))\/((-4)\/44*-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*y + 14, 7*m = 2*m - 5. What is the smallest common multiple of y and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3665 + 3700. Solve 0 = -29*i + b*i - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-8))\/((-7)\/(-28)). Suppose -c*k = 63 - 413. Suppose 8 + 6 = 2*u. Calculate the greatest common divisor of u and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6347273 and 1804979.\nAnswer: 8152252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*-1262)\/2*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - n + 7 = 22, b - 15 = 4*n. Suppose j - 4*g = 136, -5*j + 4 = -2*g - 658. Suppose -3*m = b*d - j, 0*m + 1 = m. What are the prime factors of d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -97 - (4 - 6\/3). Let y = 96 + m. Calculate the common denominator of 73\/10 and y\/(-22)*-1*2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*(-198)\/24\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.731 - -1.74. What is y rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12412142 (base 5) in base 13?\nAnswer: 43b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752 divided by 1752?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -40 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g**3 - 43*g**3 - 245*g**3.\nAnswer: -312*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1247, -1254, -1275, -1316, -1383, -1482, -1619?\n\"Answer: -z**3 - z**2 + 3*z - 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 10*x**2 - 8*x - 7. Let l be z(9). Let c = 3 - l. Let u(b) = 4*b + 1. What are the prime factors of u(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1443 divide 11888877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 + m**2 - m + 2. Give j(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 8*s**2 - 2*s - 10. Let f be n(-8). Suppose -31*j + 27*j + 4*c = -28, -4*c = 4*j - 4. Suppose 14 = j*h + f. Solve -4*x = -h*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 123. Let w = j + -12. Let o(s) = -s**3 + s**2 + s - 1. Let m(l) = -5*l**3 + 12*l**2 + 13*l - 1. Let x(v) = -m(v) + 6*o(v). Determine x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1254*f**5 - 1138*f**2.\nAnswer: -75240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 - (-1 - 0)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3776 - 2086 - 2551)*(3*r + 0*r - 4*r).\nAnswer: 8413*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.3 (c) -0.5 (d) 4 (e) -268 (f) -4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-3)\/((-135)\/2)). Let z(w) = c*w + 39 - 17*w + 6*w. Let m be z(-9). Solve 0 = 4*h + 2*a + 6 - 0, 10 = -m*h + 4*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 12*x**4 - 16*x**3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a meter in millimeters?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649133?\nAnswer: 761, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 66\/((-4)\/3 + 2). What is the greatest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4740 - -4742. Let v = -15 + 18. Let p(x) = x + 3. Let d be p(-6). Sort d, a, v in descending order.\nAnswer: v, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8452 - 2478?\nAnswer: 5974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (915\/30 - 17)\/((-207)\/(-46)). Factor 0 - 27\/5*g**2 + 6\/5*g - 12\/5*g**4 + 36\/5*g**o.\nAnswer: -3*g*(g - 2)*(2*g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157.714 + -0.286. Let l = q - -159.34. What is l rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**7)\/c)\/c)\/c*c*c)\/(c\/(c\/(c*c*c**(13\/3))*c)*c)*((c\/c**(-11))\/c)\/c**4 assuming c is positive.\nAnswer: c**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.2 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26 - 7*q**2 + 26)*(2*q**2 - q**2 + q**2) + 2*q**4 - 4*q**4 + 0*q**4 - 6*q**4 + 2*q**4 + 2*q**4 as d*q + n*q**4 + w*q**3 + u + a*q**2 and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((2 + (sqrt(78) - sqrt(78)*6)\/sqrt(6)*-2 + (sqrt(1300) + -4 + sqrt(1300) - sqrt(1300)) + 1)*3)**2.\nAnswer: -360*sqrt(13) + 46811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 25. Suppose 2 = 29*u - 30*u. Sort j, -3, u, -1\/8 in decreasing order.\nAnswer: j, -1\/8, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 55. Solve -r - 19 = -3*r + 5*y, 2*y = o*r - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -407064, -407066, -407068, -407070?\nAnswer: -407072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -189808\/14729 + -30\/1339. Is q equal to -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven halves of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)\/((-35)\/14 + -1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m = 55. Suppose b = c - 4*c - m, 0 = 4*b - 2*c + 16. Let l(z) = z**2 + 3*z - 1. Give l(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17119?\nAnswer: 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 355 + -356. Let y = -7 + 11. Sort 0, m, y, -5 in decreasing order.\nAnswer: y, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3121*c + 12497. Determine g(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) + 5*(sqrt(2160) + sqrt(2160)*-2 + sqrt(2160)))\/(sqrt(15)\/(sqrt(3)*1 + sqrt(3)) - (sqrt(125) + sqrt(125)*2)).\nAnswer: -24*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1134 and 702.\nAnswer: 14742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzxq when four letters picked without replacement from {m: 2, x: 2, z: 2, j: 1, q: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -266*x + 262*x + i + 8, -i + 7 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 4. Let v(z) = 2*z - 7. Let t(b) = 7*r(b) - 4*v(b). Let i(o) = 4*o - 4*o - o. Give t(i(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 1\/4, -13\/3 in increasing order.\nAnswer: -13\/3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526717?\nAnswer: 23, 41, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n**2 + n - 1. Let o(j) be the second derivative of -7*j**5\/20 - 7*j**4\/12 - 11*j**3\/3 + 2*j**2 + 1028*j + 3. Give -o(l) - 6*u(l).\nAnswer: l**3 + l**2 + 16*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 45*a**2 + 42*a + 187. Let h be u(46). Solve 2*y = -g + 3, y + h*g - 9 = 5*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 8. Suppose -2*k + k - w = 0. Let i(g) = -g**2 - 13*g - 16. Let j be i(k). Which is bigger: j or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1076798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2088288462?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + -1 + (-2*sqrt(66))\/sqrt(6) + (-5 + sqrt(11) + 0 - (sqrt(66)*-1)\/sqrt(6)).\nAnswer: -6 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*n + 128*n + 221*n.\nAnswer: 78*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f - 3*f + 6*f)*(10588862 - 997*f - 10588862) to the form x*f**2 + n + h*f and give x.\nAnswer: -2991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8330*w - 4 - 8480*w + 16726*w - 3*w**2.\nAnswer: -3*w**2 - 84*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1509 + 1579.9. Let t = f + -71. What is the nearest to t in -0.1, 1\/3, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 381030410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + (-174)\/10 + 9. Solve m - 1\/5*s**2 + 2\/5*s = 0 for s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2. Let s(y) be the second derivative of -7*y**4\/12 - 3*y. Give d(s(m)).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 + 136*v**2 + 0*v - 3*v + 65*v**2 + 62*v**4 - 35*v**4 - 28*v**4 to the form w*v**4 + k*v**3 + b + y*v + i*v**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = c - 64, -192*c + 51 = -g - 188*c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3078759201 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**9\/1008 - p**6\/120 - p**3\/2 + 2*p. Let d(c) be the second derivative of q(c). What is the third derivative of d(a) wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 6 - 53 - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -361533\/638 + 21362\/29. Let p = -170 + j. Find the common denominator of 41\/4 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1188 - 1188.5. Which is the nearest to -153? (a) -2 (b) q (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*c = 792*c + 134*c + 55031 for c.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3193*v + 43698 = -23355 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3\/10))\/o*o\/(o**(4\/3)*o))\/(o**(-5)*o**(-3)) assuming o is positive.\nAnswer: o**(191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 411, 899, 1559, 2379, 3347?\nAnswer: 4451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341028 a multiple of 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/4)*m)**(-4\/25)*(m*m**(1\/5))**(-4) assuming m is positive.\nAnswer: m**(-127\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*c - 27, 2*n + 3*n - c = 18. Let k(l) = 13*l + 0*l**3 + 10*l**2 - 8*l - l**n + 10. What is the hundreds digit of k(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m - 2. Let b be 298\/20*m - -2. Let n = 25\/2 + b. Which is smaller: n or 0.9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*w - 8 = 3*j + 1257*w, -3*w - 22 = 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 + 15*y. Let r(c) = c**4 + c**2 + c. Let n(f) = 4*r(f) - v(f). Find the second derivative of n(u) wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyky when four letters picked without replacement from ykky?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -18*v**3 + 4*v**2 - 13*v - 2. Let p(j) = -18*j**3 + 5*j**2 - 16*j - 2. Calculate -6*g(c) + 5*p(c).\nAnswer: 18*c**3 + c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1598 and -19\/53312.\nAnswer: 2505664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*4*(-21)\/(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 27 = -2*i + 5*x, i - 2*x + 31 = 0. Let u = -13 - i. Let m = -238436 - -238439. Solve 0 = -m*n - 2*w + 14, 2*n - 6*w = -w - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from oiiiyloliyoyihyi.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2852?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v**2 + v)*(2 + 1 - 1) + 0*v**2 - v**2 - v**2 + (-v + 0*v + 2*v)*(2*v - 2*v + v) + 2*v**2 - 4*v**2 + 0*v**2 + 78*v**2 - 150*v**2 + 70*v**2 - 339*v.\nAnswer: -3*v**2 - 339*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8756 divided by -4.\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 7 = -6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1774 or 1775?\nAnswer: 1775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1150*s**2 + 218*s - 1737. Does 49 divide a(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-9)*f)\/f)**(4\/19)*f**(2\/11)*f*f\/(f\/(f*f*f**(2\/9)*f))*f*f)**(-39) assuming f is positive.\nAnswer: f**(-110266\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 24, -9, 3, -2819 in increasing order.\nAnswer: -2819, -9, 3, 17, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -780717 >= -780718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37140007 to the nearest integer?\nAnswer: 6094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 2*b**2 - 4*b + 3. Let f be h(3). Suppose r - 8 - 4 = f. Suppose -r = -0*w - w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23660421?\nAnswer: 3, 79, 99833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420711067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 20, -3*r - 4*g - 56 = -6*r. Let f be (6\/r)\/(2\/1540). Find the common denominator of (-336)\/f - (-3)\/5 and -9\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 8. Let s(g) = g + 7. Suppose 5*o - 32 = 2*v, 6*v - v + 46 = 4*o. Calculate v*y(l) - 7*s(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-170)\/(-34) + (6\/4)\/(10\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {q: 2, k: 4, o: 2, j: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -1\/3*j**3 - 1\/24*j**4 + 0 + 0*j + 5*j**2. Differentiate f(b) with respect to b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(585\/(-10)))\/((-10)\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, l: 2, b: 4, i: 2}. What is prob of sequence lh?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 16) to base 12\nAnswer: -12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(sqrt(11) + -1) - sqrt(33)\/sqrt(3)*-4*-6.\nAnswer: -23*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11208047*d**5 + 4982*d + 2403.\nAnswer: 224160940*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*i + 45. Suppose 11 = -6*u + i. Solve 2*t + 0 + u = 4*z, -2*t = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 1011.7.\nAnswer: -13152.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:58 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s\/(s*(s**9\/s)\/s))\/s)))\/s**1)\/(s**(-4)*s*s\/(s\/(s*s**(2\/31)))) assuming s is positive.\nAnswer: s**(-219\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17 - -10) + 14 - 0) + -5 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93.38 + -96.38. Which is the nearest to -1\/4? (a) -68 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312\/(-195) - ((-324)\/54 + (-404)\/(-10)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23748088 to the nearest integer?\nAnswer: 4873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.9 + 17. Let o = x - 2.100055. What is o rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 22*i - 7. Let t be n(7). Let s = t - 38. What is the fourth smallest value in s, -3\/7, 3\/8, -0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/121 and -137\/6402?\nAnswer: 70422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17, -2\/3, -1909 in descending order.\nAnswer: -2\/3, -1, -17, -1909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 507 + 13*j**2 - 4*j**2 + 611 to the form y*j + u + z*j**2 and give u.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -2\/7, -0.01, 2\/423?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1044*g + 205 + 996*g + 210 - 288*g - 413 as h + w*g and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*u + 2*t - 22, -4*u = -4*t - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300132*f**3 + 87025*f.\nAnswer: 1800792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 4*k + 2*k)*(4*k**4 - 4*k**4 - k**4) + 4*k**4 - 4*k**4 + k**5 + 4*k**3 + 10*k**3 - 4*k**3 - 2*k**5.\nAnswer: -3*k**5 + 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5340, -5352, -5364, -5376?\nAnswer: -5388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -182 - -311. List the prime factors of b.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w. Let i(a) = 249*a - 6 - 234*a + 6 - 18*a**2 - 2*a**2. Determine i(r(m)).\nAnswer: -80*m**2 + 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + -22. Let x = 1.01868 - 0.01868. Which is the second smallest value? (a) x (b) t (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 4)*(-2)\/(-6)*-3. Let c be x\/((-4)\/20*1). Let q be (-9)\/45 - (-42)\/c. Sort q, -10, 5.\nAnswer: -10, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/(-84) + -12 + 2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 1, s: 1, n: 2}. Give prob of picking 1 m and 2 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 132 = 428. Solve -9*k + k - i = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -702 + 1134. Is d a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 12:48 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 33 - (1 + 2 + (2 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196115.7 rounded to the nearest 1000?\nAnswer: -196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y**5 + 9*y**3 - 2793600*y**2 - 489711975*y + 2 wrt y?\nAnswer: -20*y**3 + 54*y - 5587200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294.4 - -294. Let d(l) = l**3 + 25*l**2 - 26*l + 26. Let h be d(-26). What is the fourth biggest value in 3, h, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 4. Let n be (1 - (2 - c))*4. Let g be (1*(-6)\/3)\/(-1). Calculate the greatest common factor of n and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 2, x: 1, h: 4, i: 3}. What is prob of sequence mihm?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434474 divided by -34.\nAnswer: 217237\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -187b (base 12) to base 2\nAnswer: -101110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/17982 and 46\/1467?\nAnswer: 2931066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 3*i**2\/2 + 5*i - 85. Let c be r(0). Solve -3*l = -5*x - 3, c*x + 5*l + 35 = -0*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 3*p**2 + 1. Let t be a(2). Let h be (93\/18)\/(6\/36). Suppose t = o - h. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7 + 11. Let q = 8.8 - 9. Is q bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 496 = 135. Solve 2*y = -u + 23 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.35 + -48.15. What is the second biggest value in 2, 11, 0.5, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -223*f - 223*f - 228*f = -587*f - 2262 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 - q)*(5*q**2 - 8*q**2 + 5*q**2).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.2. Let a = 3.5 + 0.5. Let b = a + -3.8. Is b < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -2. Let r = 0 + w. Let m be 4*(-3 - 34\/(-8)). Put m, 4, r in ascending order.\nAnswer: r, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3*537\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/55*(-2 - 11\/2). What is the highest common divisor of 42 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a**3 - 68774577*a**2 + 39416183574012*a + 3941619045147 = 0. What is a?\nAnswer: -1\/10, 1146243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/23532 and 83\/23532.\nAnswer: 23532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 2269940926.\nAnswer: -2269940925.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 69 = w, 3*o - 6*o - 54 = -3*w. Let f(s) = -s**3 - 17*s**2 - 4. Let l(p) = -p + 1. Let u(r) = f(r) + l(r). What are the prime factors of u(o)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17545 and 10835.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - 17. Let f = p + 0. Let l = -16 - f. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (11 - (16 + -5))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -2222?\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9907030.\nAnswer: 2, 5, 7, 141529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -925258*z**3 - 2*z**2 + 8620839 wrt z.\nAnswer: -2775774*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksqbkhksk. Give prob of sequence qh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + (34 - 16) + 0 + -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:31 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from wwqkwwwww?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of x**4 - 34*x**3 + 813*x**2?\nAnswer: 24*x - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, c: 2, r: 4, k: 6, t: 2, y: 2}. What is prob of sequence ci?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212848401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {z: 6, k: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*g - 173 = 0, -k + 51 = -3*g + g. Let h = k + -2. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 2, 1\/3, -407 in increasing order.\nAnswer: -407, 0, 1\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7164 and 11751348.\nAnswer: 35254044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3124*q - 15622 - 104409 - 129889 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91107609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.3 (b) -1.2 (c) 0.2 (d) 1 (e) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 0 + 31*v + 0*v**2 - 1\/6*v**3. Let l(t) = -53*t**2. Calculate l(z(s)).\nAnswer: -53*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/239 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2652290?\nAnswer: 2, 5, 41, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6516316.\nAnswer: 2, 19, 179, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 0.1 (c) 2 (d) 0.2 (e) 0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242393180 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkykghbh. Give prob of sequence hr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6201860 and 35660695.\nAnswer: 142642780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose -k*a + 50 = 2*n, -6*a + 3*a - 2*n + 70 = 0. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3. Let q(r) = -45*r**4 + r**3 - 44*r**2. Let n(d) = q(d) + w(d). What is the third derivative of n(m) wrt m?\nAnswer: -1080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 24*m**3 + 3*m**2 - 3*m - 4. Let r(a) = -25*a**3 - 4*a**2 + 4*a + 5. Give 4*c(y) + 3*r(y).\nAnswer: 21*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367 is divided by 1363?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72688 and 174286.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*a*b**2*c - 6*a*b**2 - 18*a*b*c**2 - 349*a*c**2 - 2*b**2*c**2 - 1592*b**2 - 33*c**2 wrt b?\nAnswer: -80*a*c - 12*a - 4*c**2 - 3184","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 21029 - 17781 = -39*s - 19*s for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*g**2 - 118*g - 106*g**2 + 118*g.\nAnswer: -147*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(24\/20)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 59 = -4*m - 13, -12 = -3*m. Let l = 3232\/11 + -294. Let c = 1.1 + -0.1. Sort l, h, c in decreasing order.\nAnswer: h, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + p = 10, p - 165613 + 165628 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -13*m - 4. Let k(t) = 15*t + 5. Let v(n) = -6*k(n) - 7*o(n). Let y(i) = -i**2 + 2*i - 3. Give -4*v(q) + 3*y(q).\nAnswer: -3*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*n = n + 6, -3*s + 81*n - 83*n - 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x + 82. Give d(-6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-two fifths of a meter?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6651.377 litres to millilitres.\nAnswer: 6651377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -67 (c) -1.7 (d) 1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/28*1)\/(1\/(-7)). Calculate the greatest common factor of 50 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 12*z**4 + 390*z**3 + 2187*z**2\/4 - 1389*z\/4 + 93\/2 = 0?\nAnswer: -31, -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21863 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 323, 491, 663?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18860 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 times 98?\nAnswer: 28910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7084699 to 2 dps.\nAnswer: -4.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 66 = -3*d, -5*k = -20*d + 5*d - 90 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - -366. Let y = -5788\/15 + a. Let h = 6 - 7. Is y < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 1. Let h(i) = i - 9. Let b(r) = -5*d(r) - h(r). What is the smallest common multiple of b(-4) and 6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.11 (b) -0.0908 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 102? (a) 5 (b) -0.2 (c) 2 (d) -94 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -40. Let z = w - -56. Suppose -3*c = -z + 1. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 9*y + 8. Let d be p(-6). Let u = 828\/7 + d. What is the smallest value in u, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-105)\/49)\/5 + 24\/7. Is p less than or equal to -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -202*f + 2832. Let a be g(14). Let s be (-4)\/10*(-1 + -49). Solve 0 = 2*t + a*h - 6, s = 5*t + h + 4*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12727968.\nAnswer: 2, 3, 11, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from vhqznrhq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssiz. Give prob of sequence zzs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-14))\/((-10)\/(40\/(-12))). What is the closest to -847 in o, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22011000 (base 3) to base 4\nAnswer: -1130310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(704)*1 + sqrt(704)) + (3*(sqrt(704) - (sqrt(704) + (sqrt(704) + -1 + sqrt(704) - sqrt(704)))) - sqrt(704)))**2.\nAnswer: 896*sqrt(11) + 45105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/30 + a**4\/3 - 3*a**3\/2 + 603*a**2. Calculate k(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 68*y**2 - 125*y**2 + 170*y**2 + 1 as u*y + b + w*y**2 and give w.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = d - 32. Let r = -13 + 15. Let g(z) = -z + 3. What is the least common multiple of g(r) and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32\/3 + 0*k + 2\/3*k**4 + 0*k**3 - 16\/3*k**2 = 0. What is k?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -59*a**3 - 18*a**2 - 21*a - 17. Let u(m) = -27*m**3 - 9*m**2 - 9*m - 8. Calculate 5*k(x) - 11*u(x).\nAnswer: 2*x**3 + 9*x**2 - 6*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/5)*g**10\/g*g assuming g is positive.\nAnswer: g**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115648872 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**9\/7560 + c**8\/6720 - c**7\/2520 - c**4\/12 + 3*c**2. Let q(b) be the second derivative of o(b). Factor q(f).\nAnswer: f**2*(f + 1)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**19\/(u*u**(3\/2)))\/((u\/u**(6\/17))\/(u**(-2\/15)*u)) assuming u is positive.\nAnswer: u**(8527\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + (-32 - (46 + -83)) + (-31 - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -13. Let x = -11 - i. Sort x, -2, 0.\nAnswer: x, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*h - 320*c = -162*c - 165*c + 490, 4*h + 424 = 6*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45204 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22492 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*y + 420*y = 4690 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 + 37*m - 49. Let i be x(11). What is the units digit of (-4785)\/(-66)*(-42)\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 82163*y + 82162.\nAnswer: (y + 1)*(y + 82162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 99, 142, 185?\n\"Answer: 43*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2 + i**3 - i + 2 - 3. What is the units digit of t(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.94 + 0.06. Let l = q - 3. Suppose 4*t + 4*h = h + 11, 4*h + 37 = 5*t. Which is the biggest value? (a) t (b) l (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 313365632 or 313365631?\nAnswer: 313365632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 323, 644, 965, 1286, 1607?\n\"Answer: 321*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -5, -0.1, 2, -21, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 678 + -676. Let o(k) be the third derivative of 14*k**z + 1\/6*k**4 + 0*k + 0*k**3 + 0. Let q(a) = -6*a**2. Determine o(q(h)).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -247\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.24g to micrograms.\nAnswer: 104240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233549879 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s + 12*s - 21*s - 228*s + 30*s - 198*s.\nAnswer: -396*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p + 3\/2*p**2 - 2\/3*p**3 - 1 - 1\/4*p**4. Is k(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*s - 3144267196 + 3144267196.\nAnswer: 47*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -66*g + 535. Let y be s(8). Solve -18*t + y*t = -44 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1638.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089000 rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2327 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 363 - 5?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57848*r - 48772?\nAnswer: 57848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70781992 and 20.\nAnswer: 353909960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*2\/4*534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1554782105?\nAnswer: 5, 73, 4259677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - -4*(-3)\/48.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by (-168)\/((-45 + 42)*1\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2494649*x - 271943 wrt x?\nAnswer: -2494649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4 + 3 - 7 - 2*m**2. Let h(u) = 9*u**2. Determine h(t(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 6:22 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963, 1866, 3349, 5424, 8103?\nAnswer: 11398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1401 + -1496. Which is the third biggest value? (a) -5 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/(a\/(a*a**(1\/3))))**(-22) assuming a is positive.\nAnswer: a**(-418\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*v - 8 + 101*v + 9 + 4 + 25.\nAnswer: 2*v + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5844 in -11, -4, 0.2, -58, -3\/5?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8) + 1)*(-10 + 9). Which is the second smallest value? (a) -0.3 (b) -0.4 (c) 0.1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1851832951?\nAnswer: 31327, 59113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11125, -44492, -100105, -177964?\n\"Answer: -11123*q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.3 and -1.1.\nAnswer: 11.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105025246 (base 7) to base 10\nAnswer: 6359695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 5*j + 52 = 2*k, -96 = 4*j + 4*k. Let b = j - -23. Suppose 2*m + 3*p = 123, 0*m + 4*p = b*m - 227. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 9*n**2 - 13*n + 9. Calculate l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3 + 237*k**2 + 318 with respect to k.\nAnswer: 6*k**2 + 474*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - 58. What is s rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 42\/(-9)*30\/(-20). Let c be 2*((-51)\/(-6) - 2). Suppose 3*d - 4*l + 8*l - c = 0, -2*d + 8 = 3*l. Do z and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 1359\/103, 4, -2, -5, -3\/8?\nAnswer: 1359\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 529*h + 1. Let v be y(0). Let p = -0.09 - -0.79. Which is the closest to v? (a) p (b) -3\/7 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 1. Let l(p) = -2*p**3 - 4*p**2 + p + 6. Let f(x) = l(x) + r(x). Let w be f(-4). Let j be ((-4)\/(-6))\/1*-3. Sort j, w, -4 in ascending order.\nAnswer: -4, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -1\/39*a**3 + 1\/390*a**5 + 8*a**2 + 0*a + 0 + 0*a**4. Find t such that s(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 52\/5 of a minute?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-5))\/(-28)*-10*(-38)\/19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r - 3. Let k be b(-6). Suppose m - k = -0*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -2*m**3\/3 + m**2 - 4*m - 2. Let l(z) be the first derivative of v(z). What is l(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 60, 99, 154, 231?\n\"Answer: n**3 - n**2 + 25*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 8*x**2 + 3*x - 7. Calculate s(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -802157, -802158, -802159, -802160?\n\"Answer: -y - 802156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -15. Let g(i) be the first derivative of -1 + 2\/3*i**3 + 0*i**2 + 0*i + 1\/5*i**5 + 0*i**l. What is the third derivative of g(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 623 and 3353.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 45, 533, 1889, 4545, 8933, 15485, 24633?\n\"Answer: 72*u**3 + 2*u**2 - 22*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b**4 + 2*b**3*k**2 + 5*b**3 - 4*b + 5*k**2 wrt b.\nAnswer: -96*b**2 + 12*b*k**2 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 6. Suppose -29 - 43 = -m*a. What is the remainder when a is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5263 is divided by 226.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159582332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 7:26 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 7*v - 2850. Determine g(50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13189 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -19\/75, 1\/8, -4, 3\/7, 1\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*s, 12 = 4*l - s + 2*s. Sort -42, -4, -5, l in increasing order.\nAnswer: -42, -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 6:26 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/18886 and 53\/16875990?\nAnswer: 118131930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**2*l)\/l*l*l**(-2))**(-30))**8 assuming l is positive.\nAnswer: l**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 479 - 477. What is the smallest common multiple of o and (-5)\/5 + (-1 - -20)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34171, -8, 4 in increasing order.\nAnswer: -34171, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 - 4*s - 7. Let a be v(5). Let w be 2 - (8 + 4\/a). What is the units digit of (-2)\/w - 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-2)*6\/(-9). Suppose 0 = 4*d - m*a + 21, -4*d = -2*d + 3*a - 3. Put 0, 4, d in decreasing order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.44 - -0.44. Let v(m) = -m - 7. Let l be v(-8). Let y = -0.3 + -2.7. Which is the nearest to y? (a) r (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -25*y**5 - 186915*y**4 - 31697605*y**3 - 18876525*y**2 + 12634190*y = 0?\nAnswer: -7303, -173, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n - 8*n - 9*n**3 + (1 + 19 + 5)*(n**3 - 2*n**3 - n**3) - 4*n + 4*n - n**3.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6989 from 84541398.\nAnswer: 84548387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00353686829 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58308 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 30d (base 16) to base 6\nAnswer: 3341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 9*y + 8. Let u be i(-8). Sort u, 3, 1 in increasing order.\nAnswer: u, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 407108 and 228184034.\nAnswer: 456368068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43151.7l to millilitres.\nAnswer: 43151700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 15 = 15. Suppose m*x**4 + 1\/4*x**3 + 0*x**2 + 0 - 1\/4*x**5 + 0*x = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from fffgfffg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/20 - 5*y**4\/12 - y**3\/2 + 6*y**2 + 3*y + 6. Let w be d(5). Let p(r) = -r**2 - 2*r - 3. What is p(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = b - 12, -3*b = -d + 3 + 3. Let c(h) = 4 + 4*h - 2*h**3 + 2*h**3 - 2*h**2 - h**3. Determine c(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a meter in millimeters?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1. Let l(d) = d**2 + d. Let o(q) = -q**2 - 3*q. Let g(r) = 2*l(r) + o(r). Let f be g(-1). Solve w*s - 10 = -f*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 73.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cketececeec. Give prob of picking 2 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25.36 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*y + 46*y**2 - 30*y)*(6 - 2 + 2482*y + 6 + 2 - 12).\nAnswer: 114172*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 113510463 divided by -11?\nAnswer: -10319133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -25.8. Let l = 10.02236 + -0.18136. Let g = u + l. Round g to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmwm when four letters picked without replacement from {z: 2, w: 2, m: 8, n: 1}.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/21 - 52\/(-14). Suppose v*f - 5*f + 10 = -4*d, -5*f = d - 92. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9560843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27 and 122?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.163258019 to 3 decimal places.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = o - 5*b, -3*o - 123*b + 128*b = -75. What is the highest common divisor of 745 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/77 and -13\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -6\/13 (c) 0 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 55 + 145 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 2254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/((l*l**(2\/17)*l)\/l))\/l))\/l**7*((l\/((l*l*l**(1\/3))\/l))\/l)**46)**(-7\/12))**(1\/12) assuming l is positive.\nAnswer: l**(23639\/7344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 2 + 0 + (0 - 1 - 1)*(-2 + 4 - 4) + 2 + 0 + 1)*(-10*h**2 + 10*h**2 - 6*h**3) to the form m*h**3 + t + d*h**2 + p*h and give m.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -3*t - 160. Let g = t - 26. What are the prime factors of ((-2)\/(-6))\/(g\/162)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*r + 19 = 0, 3*i + 5*r - 3*r - 12 = 0. Calculate the lowest common multiple of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + f - 2*f - 195674 + 195674.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 10:04 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176654321?\nAnswer: 4391, 40231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 158654280 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10662600.715 - 0.4\nAnswer: 10662600.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544.5 take away 34488?\nAnswer: -32943.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c7d (base 16) to base 13.\nAnswer: 5251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 22 - 3) + (0 - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-16) - 66\/(-8). Let n be -2*(4\/p + -3). Calculate the highest common factor of 25 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 543, 814, 1083, 1350, 1615, 1878?\nAnswer: 2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000011000101011001 + -10?\nAnswer: 1101000011000101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317407759 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i + 4. Does 14 divide p(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:04 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 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 p = -18 + 20. Suppose -3*h + 435 = -p*h. Suppose 179 = 2*w - 3*g, 0 = -5*w - 0*g + 5*g + h. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*c - 67*c = 380. Let h = -13 + c. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -827*j - 14. Let o be l(-2). Suppose 2*u - 27 = 4*x + 2289, 2*u = -3*x + 2323. Suppose u = -i - o. Round i to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(6\/(-4)) - -1. Let z = 1 + 1. What is the second derivative of 3*l - l - l**z + i*l**2 wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 1 - 1\/2*c**2 - 12*c. What is u(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 339.\nAnswer: 14238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1828 - -1833. Solve -2*x + 10 = -4*l, 0 = l - 0*l - i*x + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 11*b - 11. Suppose 4*l + 9 + 7 = 0, 0 = n - 2*l. What is w(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqooqqodhpddplddphdq. What is prob of picking 2 o and 1 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 + -65\/2. Is 1 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50530346 is divided by 1950?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 = -48*c - 217 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 - 237 = -4*m. Suppose -2*f + 5*i = -187, 2*i = 4*i + 6. Let g = m - f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -981 = 14*u - 8681. Let y = u - 548. Solve 2*x = -3*s - 0*x + 10, -x = -y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83 + a80?\nAnswer: 9db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) - (-92)\/28. Let v be 0\/p*-1 - -7. Let r(z) = 12*z + 5. Is r(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 265\/8 - 525\/8. Calculate the common denominator of h and 85\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - g - 1. Let o(s) = s**3 - 6*s**2 - 12*s - 6. Let f(m) = -6*b(m) + o(m). Find the second derivative of f(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 10 + 2)*(0 - 1 - 1)*(r**3 - 5*r**3 + 2*r**3) in the form z*r + x*r**2 + k*r**3 + t and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5140000 rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 5*k**2 + k + 5. Let c be j(-5). Let h(s) = s**3 - 5. Let w be h(c). Let g be 69998\/w - 2\/5. What is g rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.32 in 2\/15, 3\/4, -1\/3, -1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1415 + -1415. Solve o + a + 3 - 5 = 0, -5*a + 10 = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 2*i**7\/525 - 11*i**6\/150 + 26*i**5\/75 - 8*i**4\/15 + 2914*i**2. Determine l so that q(l) = 0.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**3 + a. Let r(z) = -32*z**3 + 17*z**2 + 4*z. Let u(g) = 4*h(g) - r(g). What is the third derivative of u(n) wrt n?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 153 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 48*o - 140. Determine i(48).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 - 7*l**2 - 4*l**2 - 4*l**2. Let x(u) = -u. What is x(v(g))?\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*p + 35 = 0, 44 = 5*m - 3*p - 2. Let s(z) = -z**3 + 6*z**2 - z - 4. Let w be s(5). Let j = w - m. Solve 4*x - 17 = -j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 49. Let g = 0.3 - 0.5. Let o be 3\/(-5)*-1 + -1. What is the nearest to k in g, o, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c + 49. Let v be d(14). Let p be (-22 - v)\/((-1)\/(-114)). Let x = p - -198. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 8}. Give prob of picking 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 717696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:27 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -179 + 504 - 177 - 588*o - 151 in the form r + d*o and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2352525 is divided by 73516?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 2.5 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -51) + (1 - -34)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 7*v**2 + 5. Let s be l(7). Suppose -8 = u - 5*m + 9, s = -u + 2*m. Solve 5*y + w - 17 = 0, -u*y = y - 2*w - 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7840\/45 + 2\/(-9). Is 22 a factor of (k + -1)\/(-2 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81839695 divided by -179?\nAnswer: 457205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1735 + 0.1735. Which is the closest to p? (a) -1\/4 (b) -5 (c) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 - 4) - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8645 by -1729.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 12 + p - 1\/2*p**2 - 3*p**3. Suppose 9*f = -5*f + 14. Calculate a(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4965 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k**3 + 2*k**2 - 5*k - 7. Let m(p) = -15*p**3 + 3*p**2 - 7*p - 10. Let j(a) = 5*m(a) - 7*o(a). Let w be j(1). Sort -1, w, 4 in increasing order.\nAnswer: w, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*i**2*q**2 + 5*f*i**2 + 115*f - i**2*q + 15*q wrt q.\nAnswer: 2*f*i**2*q - i**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3224*t**3 + t**2 + 80319*t wrt t.\nAnswer: 19344*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 128*l**3\/3 + 51*l**2\/2 - 36. What is the second derivative of a(n) wrt n?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 11*w - 14*w + 43.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110100 (base 2) in base 8?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 210*w**2 + 2*w - 5. Let y(f) = f**3 - 417*f**2 - 4*f + 8. What is -5*v(j) - 3*y(j)?\nAnswer: 2*j**3 + 201*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 1262498336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r - 60. Let o(q) = 24*q + 178. Let h(k) = -14*c(k) - 5*o(k). Let s be h(-7). Solve -2*m + s + 4 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-26)\/30) + 214\/30. Solve 3*k = -2*f - 3, 1 = -2*f + a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*f**2 + 2)*(f - 5*f + 2*f) - 28*f**3 + 12*f**3 - 2*f**3 + (-f + f - 2*f)*(3*f**2 - f**2 + f**2).\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2. Let u(m) = m - 2. Let h(w) = -5*w + 9. Suppose 8 = 2*d + 2*p, 0*d + 3*d - 4*p - 12 = 0. Let o(n) = d*h(n) + 18*u(n). What is o(k(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120967623*k**4 + 12*k**2 + 70671*k + 29?\nAnswer: -2903222952*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, -33, -2\/3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 1:51 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhwswwh. Give prob of sequence us.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29391525857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1497b (base 15) to base 8\nAnswer: -201332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -27 - (-6 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 237048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 25. Let s be p(4). Let o(x) = -9*x**2 + 6*x. Let h(b) = -19*b**2 + 13*b. Calculate s*o(v) - 6*h(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 703851 to the power of 1\/2, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (422*136)\/2 - 1397\/127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2052 - -2056. Let s = 5.4 + -2.37. Let p = -0.03 + s. What is the biggest value in 1\/12, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202 - 193. Find the second derivative of 2*o - 5 + p - 235*o**2 - 3 + 86*o wrt o.\nAnswer: -470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:24 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 136674 = 5*v, 2*a - 102494 = -a + 2*v. Let w = a - 26751982\/783. Let m = -4445\/1566 - w. Find the common denominator of m and -62\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 15) in base 16?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Suppose -2*m + 20 = -m + h, 0 = -s*m + h + 43. Suppose -y = -2*y + 42. What is the greatest common factor of y and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3313112203 (base 4) to base 13\nAnswer: 296200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.66 + 3.2. Let u = -0.04 + d. What is the second smallest value in 4, u, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81963 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 1175 (c) -49 (d) 0.1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 320111202300 (base 4) to base 9\nAnswer: 30708266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 3*z - 20, 0 = z - 2*p - 10 + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10 = 0, -3*u - 21*c + 26*c + 10 = 0. Which is smaller: u or 3\/173?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27.875*5\nAnswer: -139.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/11639243 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7322 + -3758. Calculate the remainder when i is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {s: 1, a: 1, o: 1, e: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -219 + 215. Which is the nearest to 1? (a) -1 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*u = -7, -i + 333*u = 330*u + 14. Let x(q) = q**3 + 10*q**2 - 8*q + 24. Determine x(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 40*w. Let k(m) = 33*m**2 + 6*m - 12. Let q(z) = -329*z**2 - 63*z + 126. Let y(d) = 21*k(d) + 2*q(d). Determine y(v(t)).\nAnswer: 56000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-12)*3 - 3 - 2. Solve r = -3*s + s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) 0.2 (d) 130 (e) -0.0142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 31*k + 125. What is the remainder when b(20) is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*h = -114, 4*m = -3*h - h + 88. Suppose 24*v + 24 = m*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108 - 0) + (12 - 2 - (2 + -9 + 16))?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 250703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 45 = -5*d - h, -15 = -3*h. Calculate the greatest common divisor of d and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 - 7 - (2 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3761596 to the nearest integer?\nAnswer: 1939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.1. Let b = 14.6 - 15. Let a = b - m. Put -5\/2, 2\/3, a in descending order.\nAnswer: 2\/3, a, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*b + 3*b. Suppose 0 = -5*i + b*i - 4*c + 60, 2*i - 44 = -4*c. Calculate the smallest common multiple of 20 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, 1 s, and 1 f when four letters picked without replacement from {s: 1, b: 2, g: 1, t: 4, f: 1}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 11. Suppose -11 = 5*m + 2*l, -4*m + 0*l = -l + k. Let s = 3 + -1. Sort 3, s, m in ascending order.\nAnswer: m, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -33, 0.4 in decreasing order.\nAnswer: 4, 0.4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/451 + -5703\/18040. Calculate the common denominator of r and -39\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 18. Let u(w) = w + 11. Let d be u(-6). Suppose 17 = p - d*j, 4*p - 45 - 95 = 2*j. What is the remainder when p is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.13 (b) 4 (c) -963 (d) 1603\/2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3418 + 4655 = -258*t - 41*t for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -2351100?\nAnswer: -2351054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**2 + 41*w**2 + 84*w**2.\nAnswer: 114*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 232?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 11526?\nAnswer: 11513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*k - 150. What is the greatest common factor of 20 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1629*i = 135884 + 4210 for i.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6999, -8278, -9557, -10836, -12115, -13394?\nAnswer: -14673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 12 = -2*s. Let i(h) = 3*h - 6. Calculate the smallest common multiple of 4*(-2 - 10\/(-4)) and i(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, 2, 3\/22, 4?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1406)\/(-57) + (-4)\/6. Let z be 16\/j - (4\/6)\/(-2). Let t = -3 - -2. Is t less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 8*f - 3*f - 4*f + 0*f. Let c(s) = 14*s**2 + 2*s - 4. Let l(u) = -8*u**2 - u + 2. Let k(d) = -3*c(d) - 5*l(d). Determine -4*i(w) - k(w).\nAnswer: 2*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (47 - (-31 - -56)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1019*f**3 - 41778*f**2 - 32*f - 359. What is p(41)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 24. Let p be j(0). Let t = p + 143\/6. What is the closest to 1 in t, 3\/5, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*p + 309*p + 337*p - 53*p + 124*p in the form g*p + t and give g.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41349223 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426 a factor of 1532840364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978.2398cm to kilometers.\nAnswer: 0.009782398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 166204757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1145411 (base 8) to base 6.\nAnswer: -10422133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6 = 2*i, 125*u - 12 = 128*u - 4*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:06 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 80 = 216*l - 217*l, l + 38 = -d for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3304302.41 and 0.023289.\nAnswer: -3304302.386711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186366*d - 186368*d - 187383*d - 186370*d + 746488*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a1 (base 13) to base 7.\nAnswer: -12513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1147184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 850, 1682, 2512, 3340, 4166?\n\"Answer: -g**2 + 835*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**25*q*q)\/(q**24\/q) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149141.\nAnswer: 17, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52649596.\nAnswer: 2, 13162399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 48*a**3 - a**2 - a + 2. Is z(1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 34. Let l be ((-6)\/4)\/(d\/14). Let i = -149 - -1939\/13. Which is the closest to l? (a) i (b) 2 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((8\/4)\/4). Suppose -165 = -q - f*q. Is 27 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 5*t**2 - 27*t - 15. Let j be l(-8). Let c = -119 - j. Which is bigger: c or -130?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - z**2 - 113*z**2 + 2 + 13*z**2 + z**2.\nAnswer: -100*z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:20 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15302 divided by -4.\nAnswer: -7651\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 1428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1))\/w)**(18\/7)*(w\/(((w*w*w*(w\/((w**(2\/55)\/w)\/w*w*w)*w)\/w)\/w*w)\/w))\/w**(1\/6) assuming w is positive.\nAnswer: w**(1019\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8. Suppose 13 + 3 = 16*l. Let s(k) = -k. Give l*o(v) - 2*s(v).\nAnswer: 2*v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 111?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)\/b)\/b)\/(b**(-9)*b) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + f - 4*f - 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Let d = s - 1. Suppose -2 + 0 = d*o. Is -2\/9 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 10 + 5 = -3*k, k + 5 = -i. Suppose w + i*w = 979. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-4 - -9) - (-1 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 5:40 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 49. Let i = 0 + n. Let l = -0.76 + -10.24. Which is the closest to 1\/2? (a) l (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36, 4\/3, -279.3?\nAnswer: -279.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 2*a**2 - 3. Let k be w(3). Let i(t) be the third derivative of t**4\/3 - 5*t**3\/3 + t**2. Does 16 divide i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2246, -4043, -5392, -6293, -6746, -6751, -6308?\n\"Answer: 224*t**2 - 2469*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**6\/21 - 2*x**5\/35 + 14. Factor i(u).\nAnswer: 2*u**4*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - 5. Let f be z\/(-2)*(-4)\/6. Let k(j) = -40*j - 3. Is k(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/12 - 8*r**3\/3 + r**2\/2 + 3*r. Is f(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304572 = -5390*i + 911*i for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4058904 and 32.\nAnswer: 16235616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -26*j - 6. Calculate the remainder when (-3068)\/(-78) + j\/(-3) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.013, 3\/2, 0.334, -0.2, 1\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*t + 9*t - 1392, -3*t + 831 = n. What are the prime factors of t?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-11)\/((-66)\/18)). Sort 11, 2, n, -4 in decreasing order.\nAnswer: 11, 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p - 5*n, -p - 3*n + 7 = -4*n. Suppose -14*h - p = -11*h. Let j be (-2)\/3 + 6\/9. Is h at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -60. Let x be 4\/(-14) - 1\/(b\/(-564)). Let n(v) = 2*v**2 - 3*v + 2. Let k be n(2). What is the greatest common divisor of k and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59049120 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:59 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 163093005*o**2. Let w(b) = -2*b**2. Give w(x(f)).\nAnswer: -53198656559860050*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124000003 (base 5) in base 10?\nAnswer: -4515628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-446 - 13)*(-6)\/9 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 379810.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 152.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 + 3*b - 2*b + 19*b**2 - 5*b**2.\nAnswer: 35*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, -9\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.043 (b) 0.1 (c) -5 (d) -2\/11 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15065693?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2787 and -0.27.\nAnswer: 752.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 78 - (3 + -4 - -3). Suppose 3*o - 2 = h. Suppose 2*m = 4*m - o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - n - 12. Let s = -205 + 225. Suppose -2*v - 13 = -u - 5, -s = 5*u + 5*v. Calculate d(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193 - -737. Calculate the highest common factor of 68 and k.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2158845 is divided by 431718?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/5 - (-440)\/400.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 921 + -129. What is the least common multiple of k and 186?\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - 5 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -386, -4, -2\/3, -3, 0.5, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 49 - 49. Suppose 8*x - 18 - 142 = q. Solve -y - y + 2*u = 16, -u + x = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*x + 19, -5*x - 12 + 7 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5424 + 2304723?\nAnswer: 2312347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {q: 1, t: 4, o: 2, a: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 69\/7. Let l = 2.6 + 1.4. What is the nearest to -0.1 in l, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 5*c - 11*c. Calculate the least common multiple of c and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/22 + ((-1730)\/(-5709))\/(38\/(-36)). Suppose -2*v + 15 = -7*v. What is the nearest to -3 in -13, 2\/9, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3021532518 to the nearest integer?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*z**4 - 5*z**4 - 7 - 2*z**3 + 0*z**4 - z as l*z + d*z**2 + j*z**3 + b + u*z**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 1. Suppose 13*t + 15*t = -56. Let f(u) = -2*u**2 + u + 2. Determine t*z(y) - f(y).\nAnswer: 2*y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 43.\nAnswer: -4, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1524034447.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 206.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2244?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/5? (a) 43 (b) -3 (c) -17.3 (d) -1\/2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 6:19 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2116.34 + 23.3.\nAnswer: 2139.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133404 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1. Let h(p) = p**3 - 3*p**2 - 2*p + 1. Let d(b) = -h(b) - 2*l(b). Let g be d(3). What is the units digit of 1*11 - (5 - g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.4 (b) -5 (c) 1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26429070*y**3 - 74187518*y**2 wrt y.\nAnswer: -158574420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 9*w**2 - 3*w - 13. Let i be t(-9). Calculate the highest common divisor of i and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 2. Let p = 47 + -45. Determine k(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1474, 5, -6, -5, -1 in descending order.\nAnswer: 1474, 5, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -438313.48 + 438297.4800227. Let n = d + 16. Round n to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 37 = 3*s, 5*u - 55 = -0*s + 5*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85\/6 + -14. What is the nearest to 0.2 in m, -3, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-85 - -52 - (-2 + -6))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let n(w) = -w**2 + 3*w + 3. Let s(d) = 2*n(d) + 6*z(d). Suppose 72*q - 23*q = 98. Let r(p) = 29897*p - 29897*p - 6*p**q. Determine r(s(v)).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x - 83 - 86 - 81 + 250.\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1111 by -1.\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-46)\/32*4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5 = 2. Let h = -14 - -13. Sort t, h, 1 in decreasing order.\nAnswer: 1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 13404*s = -13386*s + 12, 0 = 4*h + 4*s - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) - 294\/56.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from ttntvntnnvpnyvvp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**37)**(-4\/17) assuming q is positive.\nAnswer: q**(-152\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*g - 176, -120 = 13*g - 15*g - 2*a. Calculate the remainder when 316 is divided by g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 55*f + 156. Let t be a(3). Let d = 14 + 27. Sort 3, t, d in descending order.\nAnswer: d, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 803, -1, 2 in descending order.\nAnswer: 803, 7, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35819, 71502, 107185, 142868, 178551, 214234?\n\"Answer: 35683*w + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5184)*5*2)\/(5*-2*sqrt(768) - (sqrt(768) + -1*(sqrt(768) + -1*sqrt(768) + sqrt(768)) + sqrt(768))).\nAnswer: 30*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010413 rounded to five decimal places?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Let p(h) = -18649*h - 1. Determine p(n(m)).\nAnswer: -18649*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 2 + 2*m + 0*m**2 - 38\/3*m**3. Find the first derivative of g(v) wrt v.\nAnswer: -76*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45779, 45784, 45805, 45854, 45943, 46084?\nAnswer: 46289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 7 = -1. Let y be (-4)\/12*18\/a. Suppose -4*l + 3 = -x + 33, x - 16 = -y*l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2705127 and 1.\nAnswer: 1.2705127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*513\/(-285).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4 - 3 - 11968*g + 4 + 11951*g. Let y(f) = -8*f + 2. Calculate -4*p(z) + 9*y(z).\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*n, 69 = 30*l - 107*n + 110*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 206?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40295283 rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 - -63. Let h = g + 95. Calculate the highest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*129.385.\nAnswer: -1811.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*p + 2 = -0*c, 0 = c - 4*p + 8. Let m = 9 - -1. Suppose -3*l + c*b = -12 - 3, -2*l + m = 2*b. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62620*z**5 - 2*z**3 - z - 39274 wrt z.\nAnswer: -1252400*z**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -207167 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 3939.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 1, -47, -13, 8 in descending order.\nAnswer: 8, 1, -13, -39, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 19. Suppose 27*s + 6516 = -11196. Let l be 4\/6 + s\/48. Give a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1376 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.48 + 12.98. What is the closest to -1 in 2, 3, w, 14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsddkk. Give prob of sequence dds.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -7, -3, 1, 8 in increasing order.\nAnswer: -10, -7, -3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 2 (c) 22 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40493 is divided by 9617?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-j + 0*j - j) + (6 - 2 + 1)*(-4*j + 3*j + 2*j) as v*j + n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 700938815 to the power of 1\/2, to the nearest integer?\nAnswer: 26475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(45\/(-2)) + (-1592)\/12. Let z be 10\/(-3) + (-770)\/j. Suppose 8*p - 1\/2*p**4 - 9*p**2 + 4*p**3 - z = 0. What is p?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000366 rounded to five dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + i - 6 = 0, -8*g + 2*i - 1 = -7*g. Put 0, g, -9 in decreasing order.\nAnswer: g, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 5*y + 19. Let x(a) be the second derivative of a**3\/6 - a**2\/2 + 15607*a. Give -l(v) + 5*x(v).\nAnswer: v**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -3.7. Which is the second smallest value? (a) -94 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -18. Solve -2*i + 2 = -r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*v - 152 = 96*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9467 - 1232 = x + 3*v, 0 = -5*x + 5*v + 41195. Suppose 3085 = 13*c - x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (161\/(-63) - -5 - -4)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v - v)*(-7 - v + 7) + (v + 0*v - 2*v)*(2*v - 4*v + 0*v) + (1 - 3 + 1)*(-410 - 310*v**2 + 410).\nAnswer: 311*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5333 (b) 26.6 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 - -138.7. Which is the biggest value? (a) -2\/11 (b) 0.06 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (-4 - -10)) + 0. Let n = -7 - -9. Let g(z) = -6*z + n + 1 + 2 - 3*z. Let t(r) = 4*r - 2. Give p*g(h) - 5*t(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*q + 3980 + 29204 = 0 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*s = 17, -4*s + 15 = s. Suppose 20*o - 555 = g*o. Are 35 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7662 is divided by 544?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*z = -6*q + 90000016, -5*z + 20 = 0. What is q rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, k: 2}. What is prob of sequence ekk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 183443*t**4 - 2*t**3 + 1008583 with respect to t.\nAnswer: 733772*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:40 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 32. Let q be (-84)\/(-30) + -3 - (-2)\/i. Let b = 0.1 + -7.1. What is the second biggest value in q, b, -2, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-78)\/(-42) + 7\/49. Suppose 0 = -7*v + 53 - 32. Put u, v, -26 in decreasing order.\nAnswer: v, u, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2 + 5*d**2 + 8*d**5 - 2*d**2 + 2*d**2 wrt d.\nAnswer: 480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000720219782 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + 2*j - 2*j)*(-j - 4*j - 2*j) as d*j**3 + m*j**2 + b + f*j and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 0, 3*y - 38*j = -2*y - 41*j + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.076 - 0.276. Let q be (1\/(-3))\/((-2)\/6). Let y = 3 - 2. What is the closest to y in q, 2, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 80?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.3. Let r = -0.1 - k. Which is the nearest to -1\/3? (a) 5 (b) r (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llllxllxll?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*k - 425 = 56*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7101757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/318 and 67\/212.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943181 is divided by 1176?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 3*i**2 + 4. Let o be t(-3). Suppose 9*z - 4*z = -2*w + 192, 4*w = -o*z + 408. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -6. Suppose c - y*c = -l - 5, c + 2*l - 15 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 19 = 17*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(-3 + 3 - 2*n)*(-3*n + 0*n + n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 530627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164\/1123 <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 9317\nAnswer: -5\/9317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3619787*n**3 + 476*n + 4827.\nAnswer: -21718722*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163476640 and 3680?\nAnswer: 3680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4 (c) -0.2 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7) + (-3 + 5 - 0) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*(sqrt(68) - (sqrt(68)*-2 + 3) - sqrt(68) - ((sqrt(68) + sqrt(68) + 2)*1)**2)*-1 + 5.\nAnswer: -2227 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:28 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 493*o + 15699. Give w(-26).\nAnswer: 2881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2795679594?\nAnswer: 2, 3, 155315533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a**3 - a**2 + 17*a + 37. What is the tens digit of b(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 3*w - 2*w - 13 + 6.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 15*l + 7. Let v(m) = 9 + 12 + 5 - 1 + 7*m - 21. Calculate 4*d(j) - 7*v(j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = -2*a + 3*h, -3*a + 121 = -2*h - 146. Calculate the remainder when 258 is divided by a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48142958*d - 43740084 wrt d?\nAnswer: -48142958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 17 = 9, -2*o = -4*t - 2614. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 17683*c + 3. Let g(t) = -5905*t - 1. What is -8*g(o) - 3*i(o)?\nAnswer: -5809*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24375*w**6 - 72*w**2 - w + 25 wrt w.\nAnswer: -2925000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 17 + 1 = -2*z, 0 = 2*a - 5*z - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 4*a + 4*a**2 - 2 - 4*a**2 + 2*a**2. Suppose 2*f - f + 17 = 3*i, -5*i + 28 = -2*f. Is 12 a factor of u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -n - 2*n - 2, 4 = -2*b. Suppose -2*d - n*j - 46 = 3*d, 4*j + 4 = d. Let r(t) = -t - 3. List the prime factors of r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19372266, 19372268, 19372270, 19372272, 19372274?\nAnswer: 19372276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, h: 2}. Give prob of picking 3 j and 1 h.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.46*11.\nAnswer: -115.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29163456.\nAnswer: 2, 3, 7, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543626.6 millennia in months?\nAnswer: 6523519200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*-3 - 308\/(-8). Let d be 3 + -2 - (-2 - (r + 0)). Let k = d - 36. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9876 or 2?\nAnswer: -9876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 6 + 5 + -8. Let q(x) be the third derivative of z*x**4 + 0*x**5 + 0 - 1\/30*x**6 + 2*x**2 + 0*x - x**3. Differentiate q(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/508 and -17\/180.\nAnswer: 22860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 9:46 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.95151ms to hours.\nAnswer: 0.000044430975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 12:03 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 t when four letters picked without replacement from ddptxxlptdxxpdpfxt?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (19 - 29) - 2 - 16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17214834, -17214828, -17214812, -17214780, -17214726?\n\"Answer: x**3 - x**2 + 2*x - 17214836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*((-11040)\/16200)\/((-10)\/(-50))?\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1942\/9 - 216. Which is the third biggest value? (a) 2\/23 (b) -1\/6 (c) f (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from bbdbdbtbbwdbd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1812 (base 9) in base 13?\nAnswer: -82a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84108 or -84109?\nAnswer: -84109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 11*q**7\/70 - q**4\/24 + 2*q**3\/3 + 50*q**2. What is the second derivative of k(x) wrt x?\nAnswer: 396*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*-5*((sqrt(252) + 1 + 1 - (0 + 1 + sqrt(252))) + -5).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 16 = 0, -i - 16*w + 13*w = 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8) + (-8 - 19 - -37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 4*k - 85231 = 85774. What are the prime factors of k?\nAnswer: 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 22*b - 44. Let m be r(-24). Suppose 0 = v - 21 + 1. What is the greatest common divisor of v and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100 - -10000?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d**2. Let t(l) = -l. Determine t(b(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -6, 3\/2, -2, -1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -382, -657, -988, -1375, -1818, -2317?\nAnswer: -2872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 115*a**2 + 3127*a - 10443.\nAnswer: (a - 3)*(a + 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/21 (b) 1 (c) 13\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 40. Calculate the lowest common multiple of d and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + c = 19, 0 = y + 51*c - 46*c - 5. Calculate the remainder when 147 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 10:26 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 543522541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 2977?\nAnswer: 59.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 37*m**2 - 3*m + 7. Is i(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 + (-12 - 53) + -20.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*(-6)\/((-42)\/7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 148.03098 - 0.2775\nAnswer: 147.75348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*c**2)*(3 + 2 - 3) - 76*c**2 + 59242 - 59242 to the form n*c**2 + i + x*c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/129 and 26\/531.\nAnswer: 22833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) -2 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 6*i - i - 25, 0 = 2*i + 4*x - 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 19 = -4*k, 1086*k + 55 = 1081*k + 5*h for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*g + 2*o, -8*o = 1375 - 1399 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 216*i + 163. Let x(d) = d**3 + 36*d**2 + 65*d - 76. Let s be x(-34). Is q(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-6) + 3625\/(-1710). Let u = -16\/19 - w. Which is greater: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 26 - ((-3 + 0 - (-4 + 3)) + -6).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.994 + 24. Let f = 0.006 - g. Which is the nearest to -0.09? (a) f (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*d - 164, 33 = 5*w + 5*d - 127. Suppose -6 = i - w. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 5 - (-1 - (-3 - -4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**8\/72 - 277*u**7\/630 + 439*u**6\/90 - 1723*u**5\/180 + 29*u**4\/36 + 100*u**3\/9 - 6402*u**2. Find o, given that c(o) = 0.\nAnswer: -25, -2\/7, 1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 (base 4) to base 3\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52389\/8456 - 798\/151. Let r = -14819\/60 + 1222\/5. What is the common denominator of r and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 - 41*p - 9. List the prime factors of b(13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22993, -22994, -22995, -22996, -22997?\nAnswer: -22998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -67014.\nAnswer: 5\/67014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -338 + 10426186006\nAnswer: 10426185668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (19 + (-2 - (16 + -11)))) + 49?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3 + 1*sqrt(2736) + sqrt(2736))*6 - (2 + (-2 + 1 + sqrt(2736) + sqrt(2736)*-1*1)**2).\nAnswer: 39 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2 - 1 = -d, -4*d = 3*n + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473960001?\nAnswer: 3, 5953, 26539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223 + -150. Suppose -4*u = -79 - z. Let r = u - 26. Calculate the highest common divisor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**3 + 372*i - 372*i.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(sqrt(704) + 0 - sqrt(704)) + (sqrt(704) - (-2 + sqrt(704)*1)))**2 + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 129889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1774190022 - -1774189969.00000033. Let v = -52 - -105. Let z = v + g. Round z to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**16*h**(-15) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*p - p. Suppose 0 - 3 = 3*z. Let l be 8*(z - p\/(-2)). Solve 3*h + 5 = 2*r - 2, -h - 19 = -l*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + w**2 - 10*w - 51. Let i be v(5). Solve 3*a - 15 = 0, -i - 1 = -5*t - 5*a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1716584 and 15929.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2. Let n(v) = 4*v**2 + 15. Calculate n(g(p)).\nAnswer: 16*p**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -1212?\nAnswer: 120a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41513177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/67? (a) -0.3 (b) 136 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 35\/6, 3 in decreasing order.\nAnswer: 8, 35\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-24))\/((-39200)\/(-19598) + -2). Let j = v + 2433. Calculate the common denominator of (94\/32)\/(1\/2) and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -15*q**2 - 4. Let v(j) = -j**2 - j + 2. What is k(x) + 2*v(x)?\nAnswer: -17*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/2))\/a)\/a**3*(a*a**0*a)\/a*a**0\/a*(a**(3\/4)\/((a*a**1*a*a)\/a))\/(a**(-4\/3)*a*a\/((a**2*a)\/a)) assuming a is positive.\nAnswer: a**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 4*y + 4. Let w be j(1). What is the greatest common divisor of 13 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61022769 is divided by 547.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*(4 + sqrt(7)) - 4*(sqrt(252) + -1))**2.\nAnswer: 1200*sqrt(7) + 6700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by (-392)\/70*-20 + -13?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -894\/1967 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2622 divided by -1?\nAnswer: 2622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 190\/(-8)*(-2)\/15 + -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(30)\/sqrt(2))\/sqrt(3).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 - 9*g**2 + 15*g - 9. Determine a(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.81 - -1.21. Let c = o - -0.2. Suppose 4*d - d - r - 19 = 0, -2*r - 13 = -d. Sort -4\/3, 1\/3, d, c in increasing order.\nAnswer: -4\/3, 1\/3, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6. Calculate the remainder when 30 is divided by a\/(-2)*-26 - -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 18. Suppose 4*h = 2*h + j. Solve 1 - 9 = h*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/5107 or -1?\nAnswer: -21\/5107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4911632*g + 3813790 wrt g?\nAnswer: -4911632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -1, -4 in decreasing order.\nAnswer: -1, -4, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 22, -15, -88, -209, -390, -643?\n\"Answer: -2*v**3 + v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 - -1 - (0 + -8 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millisecond in nanoseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 10*w**2 + 3*w + 4. Suppose -7*r - 32 - 38 = 0. Let i be q(r). Is (i\/(-4))\/(17\/374) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 42*g**2. Let a(c) = c**2. Calculate -10*a(f) - i(f).\nAnswer: -2*f**3 + 32*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11449 + -10900. Calculate the greatest common factor of 36 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k - 1. Let p be n(4). What is the highest common divisor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h - 19. What is r(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + 5 - -4 - (-7 + 8).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = -0*h + 3*i, -4*i = -5*h - 15. Let x = h - -5. Suppose -3*d - x*m + 133 = 36, m - 164 = -5*d. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.01746 - 0.01746. Which is the nearest to 15? (a) t (b) -0.2 (c) 35 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3323818 plus -3.5?\nAnswer: 3323814.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*b**3 + 16*b - 2 - 70477*b**5 + b**4 + 4*b**2 + 70478*b**5 + 2.\nAnswer: b*(b - 2)**2*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1764056, -1764050, -1764042, -1764032, -1764020?\nAnswer: -1764006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121093 + 71087 = 12*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 18 = -0. Suppose 3 = 4*o - i + 1, 5*o + z = 4*i. Let y(x) = -8*x**3 - 2*x**2 + 1. Calculate y(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/60*5\/2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) -4 (c) 2\/3958495\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 5*f - 2. Suppose 15 = -5*c, -j + 0*c = -2*c - 2. Let o be r(j). Suppose o = 3*d - 61. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*i + 318*i = 6075 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 1 - (20 + -9)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.3*172.9.\nAnswer: 1089.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q + 118 = 4*q + 8*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -86864, -173737, -260610?\n\"Answer: -86873*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 0.5 (c) -5 (d) 2\/3 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -188620090467 and -641.\nAnswer: -188620091108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gninrxignginirii. Give prob of sequence ring.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9 + 5571\/27 - (-1)\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 9*q - 12. Suppose n + s = 4*n - 54, -4*n = -2*s - 72. What is the remainder when q\/(-1) + (n - 1) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 21 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108 - 192. Let q = 83.9953 + x. Round q to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 1161\nAnswer: -8\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -5 + 2\/3*u**3 + 0*u + 0*u**2. Let c(m) = -5*m**2. What is d(c(f))?\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1500 + -1505. Which is the fourth biggest value? (a) u (b) -11\/3 (c) -0.03 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1935 divided by -645?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, r: 5, y: 3, m: 1, l: 5, f: 5}. Give prob of picking 1 l and 2 r.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524156.\nAnswer: 2, 59, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13 - -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 72*f + 5. Let j(v) = -2*v + 1. Give 5*j(c) - o(c).\nAnswer: 3*c**2 + 62*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 414, -0.0331, -4, -5?\nAnswer: -0.0331","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2324323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*y + 12, -4*p + 7*p = 5*y - 22. Let x = -269\/7 - -272\/7. Which is the smallest value? (a) -3 (b) x (c) p (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*n + 0*n = 3, -18 = -2*o + 4*n. What is the second smallest value in o, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-145)\/(-45) - (-2)\/(-9). Suppose 4*f = -8, t*f = -4*y - 0*y + 18. What is the greatest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 5:34 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21e110 (base 16) to base 15.\nAnswer: 2dcd04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3498 + -3518. Which is the second smallest value? (a) 0 (b) -0.5 (c) o (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 5*l + 2*l + 2)*((0*l + 4*l - 7*l)*(l + 2*l - 2*l) + l**2 + 4*l**2 - 3*l**2).\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 2*v + 4. Let o be w(3). What is the greatest common divisor of o and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2152 (base 7) to base 5.\nAnswer: 11042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/603? (a) -38.7 (b) -11 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 * 18.258\nAnswer: 8.76384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 - 7*f + 6. Let o(u) = 7*u**3 - u**2 + 13*u - 11. Let s(m) = 5*n(m) + 3*o(m). What are the prime factors of s(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxd when three letters picked without replacement from {x: 10, d: 6, w: 2}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 - 1. Suppose 5*v = -5*u + 45, -4*u + u - 43 = -2*v. Let z be v\/10 + (-8)\/20. Determine h(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -6, 0.4, 0.8, 0.29, 2\/7, 9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 11:35 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.5 + -1.522. Round s to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4*y - 8 + 28 = 0, 2*y = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15395 - -30809\/2. Let a(j) be the first derivative of g*j**2 - 39 + 0*j. Let k(s) = s. Calculate k(a(p)).\nAnswer: 19*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 3*w - 19. Let j be r(-6). Is j less than -0.0066?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31944455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 9 = 2*y, 3*y - 3 = -q - y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 666075 and 3975?\nAnswer: 35301975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(2*x + x - x) + 5*x - 4*x - 3*x + 2*x - 2 + 2 + 223 + 231 + 427*x + 224 - 678.\nAnswer: 431*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13337 + -23?\nAnswer: 13314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -591 + 1675. Does 43 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 6 + 5*t + 0. Let r be z(6). Solve 3*c - 16 + 7 = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 11\/2*c**2 + 5*c + 5\/6*c**4 + 0 + 4\/3*c**3 + 1\/20*c**5. Is 10 a factor of i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 708*a + 3546. Let i be t(-5). Solve i*o - 13 = 2*d + o, -4*d + 44 = 4*o for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000672219 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9065 and 2220.\nAnswer: 108780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r**(-16\/7))\/(r**(4\/7)\/r)**(3\/8) assuming r is positive.\nAnswer: r**(-31\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/12 and 2\/8*-1*(-11684)\/(-828).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**5\/60 - f**3 + 4*f**2 - 339*f. What is p(4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 21. What is the remainder when k(7) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201397829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5963561 is divided by 2359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 376, 839, 1486, 2317, 3332, 4531?\nAnswer: 5914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/64728 and -143\/1392.\nAnswer: 129456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6108 and 60?\nAnswer: 30540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71966 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -679998*l - 2. Let s be c(1). What is s rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 3971?\nAnswer: -9\/3971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003294728179 to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001248569863 to 6 dps.\nAnswer: -0.000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**2 - 12*f**2 + 8*f**2 to r*f**2 + k + w*f and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2412 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 23*j + 168 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 236, 528, 936, 1460, 2100, 2856?\nAnswer: 3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/(sqrt(256)*-1))\/(sqrt(72) + sqrt(72) + (sqrt(72)*-1 + sqrt(72) - sqrt(72))*1).\nAnswer: -sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 160*p - 44067. Let t(f) = 3*f. Determine v(t(n)).\nAnswer: 480*n - 44067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495587 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/28 + (1012\/(-270) - -5). Let r(i) be the third derivative of 4\/9*i**4 + 64\/27*i**3 + 2\/45*i**5 + 11*i**2 + 0*i + z*i**6 + 0. Factor r(p).\nAnswer: 2*(p + 4)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/85*4\/2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6) - (686\/105 + -9)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 21, -0.144, -1, -4?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 461*d**2 + d - 2*d - 473*d**2 in the form c + t*d**2 + f*d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, a: 10, z: 2}. What is prob of sequence aa?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6\/29, 0.079, -117.86?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from geeogzh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 8:29 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 - -5) + -2)\/(3 + -4). Let l(z) = 3*z**2 - z. Let i be l(x). Solve 4*b - 4 = v, i = 3*b - 5*b - v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 9:06 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 4*y + 2. Let p be k(-4). Let j = -17217 - -17220. Solve j*v + 1 = p*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41\/425 + 1699549\/4675. Let y = 363 - o. Calculate the common denominator of 17\/8 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 211?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 6*v + 16. Determine s(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29\/8 + 7\/2*j + 1\/8*j**2.\nAnswer: (j - 1)*(j + 29)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - 10416\/240) + 7 + 231\/(-35)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 + r + 2. Let f be j(-1). Suppose 0 = 2*c + f, 3*d - 2*c = 4*d + 2. Suppose 0 = -o + 4*s + 32, d*s + 10 + 0 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 35*v**3\/3 + 53*v**2\/2 + 9*v - 9. What is the hundreds digit of q(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from xxxvkvxkkkxkvkxkv.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((405\/18)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 529096380 rounded to the nearest one million?\nAnswer: 529000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6998*x**3 + x**2 + 4*x + 5. Let g be z(-2). Suppose 5*t + 3*v = -g, 5*t + 2*v + 23087 = -32903. What is t rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*p + 148*p = 3*h + 8, -h = -2*p + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -390582 + 751546. What are the prime factors of (-4)\/54 + c\/1107?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -56.079 times 4.33\nAnswer: -242.82207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*i + 10 = -15, i + 19 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 18. Suppose -9*l + 6*l = -d. Let s(o) = o**2 - 1. Calculate s(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52668, 10, 2\/3 in decreasing order.\nAnswer: 10, 2\/3, -52668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 40*i + 61 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 0, 6 in decreasing order.\nAnswer: 6, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 476698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 15) in base 16?\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81751 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1624 - -0.3376. Which is the closest to -2\/5? (a) 0 (b) 29 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/7613 or 1?\nAnswer: -9\/7613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2411656, 2411654, 2411650, 2411644, 2411636, 2411626?\nAnswer: 2411614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 6)*(956*k**2 - 956*k**2 + 18*k**5) - k**5 + k**5 - 2*k**5.\nAnswer: -110*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/5 + 19*s**2\/5 + 6*s.\nAnswer: -s*(s - 5)*(s + 2)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2194*b + 495. Is z(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3397051 take away 0.6?\nAnswer: -3397051.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + u**2 - 2. Calculate x(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 31. Let x(d) = -7*d**3 - 30*d**2 - 253. Calculate 8*s(w) - x(w).\nAnswer: -w**3 + 30*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1014, 4, 12.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -5, -20, 16 in increasing order.\nAnswer: -20, -5, 16, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88.55 - 5.\nAnswer: 83.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1159 is divided by 574.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 + 0.17568. What is p rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2))\/(u**3\/u*u))\/((u**(-2)*u)\/(u\/(u\/u**(-9)))) assuming u is positive.\nAnswer: u**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 take away -21.308?\nAnswer: -140.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**5 + 6*y**5 + 4*y**5)*(-4 + 2 + 3).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001101001100110110 (base 2) in base 5?\nAnswer: -440422303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -266 * -107.\nAnswer: 28462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**2 - 21947304*c + 120421038217104 = 0.\nAnswer: 10973652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20384, -40480, -60576, -80672, -100768?\n\"Answer: -20096*o - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 251 + 806 - 1868 - 1661.\nAnswer: -g**2 - 2974","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/12*(-2)\/(-3). Suppose -d*f = -4*f + 11. Let z(x) = -x**3 + 10*x**2 + 11*x + 7. What is the units digit of z(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lttlltttlltltlthl. Give prob of sequence lllt.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(13))**2 - sqrt(26)\/(5*sqrt(2)).\nAnswer: -51*sqrt(13)\/5 + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01909 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12612, 12615, 12612, 12597, 12564, 12507, 12420?\nAnswer: 12297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 + -a?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 321\/2, 0.05?\nAnswer: 321\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 + 2 + -1847 + 1775?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.694 from -69617288.\nAnswer: -69617287.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 11*w + 11. Calculate the common denominator of v(-6) and 73\/87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4 + 14*f**3 + 320*f**2 + 1288*f + 1440 = 0.\nAnswer: -5, -4, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 595*j - 3 + 2289*j + 1441*j + 1 as n + k*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*d + 776 = 103*d. Find the common denominator of 22\/5 and ((d\/6)\/1)\/16*2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuc when three letters picked without replacement from ruuuc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07226 or -27941?\nAnswer: 0.07226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:28 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/324 and -19\/66344589?\nAnswer: 265378356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 3*o - o - 9 + (5 - 4 + 0)*(2 + o - 2) + 7*o - 2*o - 3*o)*(4*o**2 - o**2 - o**2).\nAnswer: 10*o**3 - 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23529739 is divided by 11764833.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 173.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 66 = -3*f. Suppose 0 = -3*y - 5*p - 221, 4*y + 290 = 3*p - 24. Calculate the lowest common multiple of 20\/(-14) + 1 - 2035\/y and f.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -0.10793.\nAnswer: -0.10793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3 + 2) - -2. Suppose 0 = 3*r - r - i. Let z = -201 + 196. Sort 1, r, z.\nAnswer: z, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33572864 + -5112864. What is y rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*q - 32 + 7 = 0, -2*u + 3*q + 8 = 0. Suppose c = 2*c + 4*z + u, 5*c - 2*z = -13. Let y = c + 9. What is the lowest common multiple of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*y = -20, 3*f + 15*y = 17*y - 31 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**5\/30 + 1141*f**4\/8 - 162640*f**3 - 732736*f**2\/3 + 6451. Suppose c(p) = 0. What is p?\nAnswer: -1, 0, 1712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*m = 65, 0*r + 4*r - 315 = -5*m. List the prime factors of r.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**2 - 25*s**2 - 44*s**2 + (-2*s**2 + 0*s**2 + s**2)*(4 - 2 - 1) + 0 + 0 - 2*s**2.\nAnswer: -83*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p - 6. Let s = -4 + 11. Let f be j(s). What is f rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -917, -916, -915, -914, -913, -912?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7221212.\nAnswer: 2, 1805303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4 - (-7)\/14. Suppose -k = -m*k. Let r(q) = 2 - 11*q + q**3 - 8 + 4*q + 3*q**2 + k. Give r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*m + 8. Let w = 851 + -840. What is the remainder when 6\/m - 92\/(-4) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -153, -151, -149, -147, -145?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/132 + 34\/102)*(-9)\/(-16).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 33*c**3 + 41 - 4*c + 0*c - 91*c**3.\nAnswer: -124*c**3 - 4*c + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 775001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/(1\/3). Suppose 4*j - j - 2*x + v = 0, 3*j + 3*x - 24 = 0. What is the first derivative of -2 + 0*k**3 - 4 + 14*k**j + 0 wrt k?\nAnswer: 42*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(2 + 150\/(-155)*2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149715 divided by 6.\nAnswer: 49905\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89890*l*o**2 - 4*l - 2*o**2 + 4*o - 2239 wrt o?\nAnswer: 179780*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 5*g + 3. Let m be w(6). Suppose m*p - 3*p - 216 = 0. Suppose -4*x + p = -32. What is the remainder when 63 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -752*b**2*w**3 + 2*b**2*w**2 + 479*b**2 wrt w.\nAnswer: -4512*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 6 - -12) + (-7 - 34).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/5 (c) 1 (d) -32.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10000110111110?\nAnswer: -10000111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1414 + 2008. What is the greatest common divisor of m and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (415*w + 1795 - 1795)*(3*w**2 + 13*w**2 - 2*w**2) as j*w**2 + f*w + a*w**3 + t and give a.\nAnswer: 5810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**3 + 5510*q**2 + 198675*q + 1757250 = 0?\nAnswer: -1065, -22, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.4, 0, 5\/8, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + (sqrt(405)*-2*2)**2 + -5 + sqrt(500) + 1.\nAnswer: 19*sqrt(5) + 6476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 966, 1130, 1294, 1458, 1622, 1786?\nAnswer: 1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2 + 20\/(-8)). Suppose -b = o, -2*b + 0*b + 1 = c. Let m be 2\/(2 - (-32)\/(-20)). Solve c*h - 5 - 9 = -3*x, -4*h - m = -3*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177.020963302 + -0.025355302. Let h = 177 - k. Round h to 4 dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + 0*u**2 + u**2 + (1 - 1 - 2*u)*(-u - 5*u + 5*u) + 3*u**2 - 4*u**2 + 0*u**2 + u**2 - u**2 - 2*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20623*r - 52074*r + 7186*r - 25475*r - 40360*r)*(2*r**2 + r - r).\nAnswer: -180200*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14911 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (6 - 21) - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -180*f**3 - 113.\nAnswer: -540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1569322*h. Let y(x) = x**2 - 7. What is z(y(u))?\nAnswer: 1569322*u**2 - 10985254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 942, 2137, 3808, 5955, 8578?\nAnswer: 11677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 30, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = -25*j + 147*j - 277 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 86370413 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 + 6792 - v + 4*v**2 - 6793 + 3*v**4 + 0*v in the form t + h*v**4 + d*v**2 + j*v**3 + m*v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3.98. Let z = 2.98 - b. Which is bigger: -0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 - 5)*(0*q**5 + q**5 - 3*q**5).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + o**2 + o + 1. Let v be u(2). Let n be (-2 - v) + 2 - -3. Let h(t) be the second derivative of -t**3\/3 + 5*t**2\/2 - 4*t. Determine h(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1632 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (114 + -541)*(-2)\/7 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p + 16 = 4*z, -3*p = 5*z - 18. Suppose 0 = z*y - 7*y + 4. Let o be (y\/(-5))\/((-2)\/(-5)). Are o and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let l(b) = -23*b + 6. Let n(k) = -6*j(k) + l(k). Let w(u) be the second derivative of -u**4\/6 - 9*u. Give n(w(o)).\nAnswer: 46*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 1, q: 2, f: 1, c: 1, u: 2}. Give prob of picking 2 f, 1 r, and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(117)) - (((0 + sqrt(13))*-2 - sqrt(13))**2 + -1).\nAnswer: -110 - 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -168105 - -4329440\nAnswer: 4161335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 227709631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39 - -40 - 3\/2*-2. Let i = -130 + v. Find the common denominator of 67\/2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (0 - -11 - (7 - 16))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - j**2 + 21929574695 - 63*j**3 - 21929574695.\nAnswer: -63*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -5378.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2322*n - 2861*n - 1436*n - 147*n - 845*n.\nAnswer: -7611*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (-4 + -4) - -4. Solve 0 = 5*n + l + r - 20, 0 = 5*l + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(3 - (-40)\/(-12)). Let r = h + -16. Factor -r*p - 2*p**3 + 10*p**3 - 6*p**3.\nAnswer: 2*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**3 - 11*g**2 + 8*g + 5. Suppose -2*a - 9 = 7. Let y(b) = -29*b**3 - 12*b + 24*b**3 - 2 + 9*b + 4*b**2. What is a*y(k) - 3*f(k)?\nAnswer: -2*k**3 + k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 29 + 8 = -5*n, -2*n = 0. Let x = 30 + -11. Calculate the remainder when x is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 145993 + 145993.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4)*8190\/(-4550).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/23277824 and -67\/101288.\nAnswer: 256056064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 54. Let y be (m\/32)\/((-66)\/16). Which is the biggest value? (a) -2\/3 (b) y (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.30727 meters in kilometers?\nAnswer: 0.08230727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29144 is divided by 539.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let w(c) = -c + 6*c - 5*c - 4*c. Let n(b) = -2*b + 1. Let o be n(-1). Give o*a(k) + w(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 4*b**2 + 2*b + 5. Let z be l(3). Solve 0 = 2*a - a - z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201012200202000 - 0?\nAnswer: 201012200202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.1 rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*u + 20 - 13, 2*i + 3*u + 7 = 0. Put 5, -1, 1, -1031, i in descending order.\nAnswer: 5, 1, -1, i, -1031","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -401 - -526. Solve -2*x + 20 = 4*y, -2*x = 2*y - s + 113 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345125053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k + 29 - 60 - 127*k + 32.\nAnswer: -96*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 1. Let p(n) = -n**2 + 11*n + 3. Let x be p(7). Suppose 2*j = -2*a + 22, -x = -4*a + j - 12. Let o be (4\/a)\/(44\/(-66)). What is f(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(2 + -3))\/(32 - 31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 10:28 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -9. Let q be 1\/s*0 - 657. Calculate the common denominator of 7\/4 and 2\/(-14) - q\/(-154).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l - 67. Let j(o) = 7*o + 29. Let v(n) = 4*f(n) + 9*j(n). Suppose -20 + 2 = 2*b + 2*x, -40 = 4*b + 5*x. Determine v(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = 3*t, 5*t - 58 = 2*b - 86. Let n be -1 + 1 + (-1)\/(-1). Solve 0 = -u - b - n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168 - -170. What is the second derivative of -4*s - 3*s**n + 16*s - 9 - 15*s wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -199\/5496?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.88 - -21.88. Let d = 14 - q. Let y = 3 + -2. What is the nearest to 0 in d, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/3 - 328*g**3\/3 - 4914*g**2 - 59496*g + 225720 = 0.\nAnswer: -99, -38, -30, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 5*r**2 + 3*r - 3. Let v be u(-6). Suppose 3*h - v = 282. What is the highest common factor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4499947 to the power of 1\/2, to the nearest integer?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/18)\/((-16)\/273744). Is v <= 1900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-60))\/(91\/1638).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, a: 8, b: 2}. Give prob of sequence ahbh.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afi when three letters picked without replacement from ffarsiirsiiitrsrfti?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + -3 + 38 + (-4)\/(-2). Suppose f*r - 760 = -2*r. Calculate the smallest common multiple of r and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 776 - 775.5. What is the nearest to 7 in 4, g, -0.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 98 - (-8 - -2 - (-11 - 0)). Calculate the greatest common factor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 v, and 1 n when four letters picked without replacement from ncnnvnccvvvocvonc.\nAnswer: 25\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g + 12. Suppose -3*i = -2*i - 20. Let x = i + g. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96134 is divided by 11875?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10871 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 2082*i**2 - 106920*i - 109000.\nAnswer: 2*(i - 50)*(i + 1)*(i + 1090)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-2)\/(-16) + (-738)\/656). Solve 945 = v*y + 969 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r + 13*r + 4*r + 4*r - 11*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l**3 - 7*l**2 + 1. Let b be 1 - -1*(3 - 10). Let g(s) = -s**3 + s**2. Let d(r) = b*g(r) - u(r). Calculate d(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/5)*c)**(4\/19))**(-8)*((c**(-2\/7))**10)**26 assuming c is positive.\nAnswer: c**(-52088\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o - 12. Let p be j(4). Solve 2*a + 9*i - p = 4*i, -5*i + 7 = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + q - 20143 = 0, 6 = -3*q - 3. Is ((0 + 3)\/3)\/((-7)\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 26. Let r be a(-14). Let i(j) = -77 + 153 - 76 + 2*j**r. Let f(l) = 18*l. Determine i(f(g)).\nAnswer: 648*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -17776*d + 17780*d + 38, -3*d = 4*t - 131 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -5\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/(-260)*1351\/(-273) and -51\/32.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 7*m**4 - 17*m**3 + 2*m + 3*m**2 - 9*m**3 - 5*m**4 + 24*m**3 in the form b*m**2 + j*m**3 + l + y*m + w*m**4 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.05 + 5.35. Let g = -4.13 - -2.13. Which is the nearest to -1\/2? (a) u (b) 0.4 (c) g (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + (-4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1019*l**3 - 488*l**3 + 420*l**3.\nAnswer: -1087*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1056 - 928*s**6 - 94*s + 1057 + 17*s**2 - 20*s**6 wrt s.\nAnswer: -113760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(2\/9))\/z)**7)**(2\/49) assuming z is positive.\nAnswer: z**(4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/858 and 119\/18?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 58764101?\nAnswer: -2\/58764101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (-2 + sqrt(5))**2)*5 + sqrt(5)*1*-5 + (sqrt(180) - sqrt(180)*-2)\/((-2*sqrt(36) + sqrt(36))\/sqrt(4) - sqrt(9)).\nAnswer: -23*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 2*a - 2*h, -84 = -0*a - a - 2*h. Calculate the remainder when a is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139512 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 1. Let h = -8 + 15. Let w = h - 17. Is a(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3 + 59*d**3 + 70*d - 148*d + 64*d wrt d.\nAnswer: 354*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1247, -2496, -3745, -4994, -6243, -7492?\nAnswer: -8741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(5*v - v - v)*((-1 + 1 + 2)*(3*v**2 + 4*v**2 - 4*v**2) + 3*v**2 - 2*v**2 - 2*v**2).\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 17*w - 198. What is f(17)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waliwllwit. Give prob of picking 1 t and 1 i.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15301253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390 a factor of 1082896009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1028, 1026, 1022, 1016, 1008, 998?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*o + 5*g + 1155 = -74*o, -3*o = 5*g - 1670. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72480 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1393000 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82\/7? (a) -3 (b) -0.116 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1254 - 156231?\nAnswer: -157485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**3 + 6*n**3 + 8*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 924, 3024, 7076, 13728, 23628?\nAnswer: 37424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c. Let b = 1 + c. Let z(g) = -g**3 + g**2 - g. Let x(j) = -7*j**3 + 7*j**2 - 8*j + 1. Let n(r) = b*x(r) - 6*z(r). What is n(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + 9.05. Let f = -9.2 + z. Which is greater: 4\/7 or f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btft. Give prob of sequence fbt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/75 and 73\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47841.31mg to tonnes.\nAnswer: 0.00004784131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09163006 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**3)\/t*t**(2\/7)*(t\/t**0)**(10\/9)*(t*t**0*t*t**1)**5 assuming t is positive.\nAnswer: t**(907\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5057 and 50\/11?\nAnswer: 55627","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417970*o = -417894*o + 3952 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 841351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 476477*i - 3811761. Give c(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -161*(-2 - 8). Suppose -t + 5*a = 0, 13*t + 2*a + 90 = 17*t. What is the units digit of i\/t + 4\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.3 (b) 2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v = -24 + 60. What is the common denominator of ((-3869)\/(-2862))\/(0 + v\/3) and 13\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13000 divided by 10\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 11*f**2 - 9*f - 5. Let o be t(10). Suppose -2*v + 15 = o*w, 2*w - 39 = -4*v + v. Suppose -4*s = -v - 5, -2*s + 320 = 5*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -33. Let s(w) be the third derivative of -w**5\/60 + 5*w**4\/24 - w**3\/6 - w**2. What is the units digit of s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.75041?\nAnswer: 0.75041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2069\/3 + -689. Let i = -6 - -4. Put p, i, -1\/5 in increasing order.\nAnswer: i, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3233120 (base 4) in base 13?\nAnswer: -6c86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 + 45*g)*(g**2 + 0*g**2 - 3*g**2) + (4*g**3 - 4*g**3 + 2*g**3)*(-3 + 0 + 1) + g**3 - 3*g**3 + 11*g**3.\nAnswer: -85*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 16) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-6))\/((-592)\/(-5513)) and 85\/2?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2800 (b) 5 (c) 1\/4 (d) -0.2 (e) -1\/54 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -261622 <= -261615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48365\/11 - -4397. Which is the fourth smallest value? (a) 0.5 (b) -4 (c) 2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107272?\nAnswer: 2, 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/54 + (-94)\/1269. Solve -o - 11 + 14 = u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 + h**2 - h + 1. Suppose -45*m - 3883 = -49*m - 3*g, 2*m - 1961 = 5*g. Let v = m - 969. Calculate the least common multiple of u(1) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o - o**2 + 0*o - o + 9. Let s(x) be the second derivative of -2 + 2*x - 1\/12*x**4 + 5\/6*x**3 + 5\/2*x**2. What is 3*g(n) - 5*s(n)?\nAnswer: 2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.392 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58418889?\nAnswer: 3, 1601, 12163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let w = 0.9 + f. Let z = 2.843 + 0.157. Which is the biggest value? (a) z (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61496 + 61499 - 184500 - 2*z**2 + 2*z**2 + z**3 + 61505.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-803)\/44 + 2\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66844 - -118523. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w*(w*w\/w**(-4))\/w*w**(2\/3))\/(w**(-1\/15)*w*w*w\/w**(-15)) assuming w is positive.\nAnswer: w**(-139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9}. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f - 15 = 0. Let d = -1 - -2. Calculate the greatest common factor of f and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 1. Let w(h) = 3*h**3 - 5*h**2 - h - 7. Let v(t) = -3*g(t) - w(t). Is v(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 144069287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-3))\/((-20)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3 - 116*z**2 - 2226*z - 14112 = 0 for z.\nAnswer: -21, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2710 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n, 2*m + 34 = -5*n. Let c = 28 + m. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jofiowffoio. Give prob of sequence wf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*m**3*v**4 - 11*m**3 - 34*m**2*v**2 - 4*v**5 wrt v?\nAnswer: 2496*m**3*v - 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -220*z**3 + 22*z - 554. Let n(y) = -44*y**3 + 4*y - 111. Let p(v) = 2*l(v) - 11*n(v). Differentiate p(k) with respect to k.\nAnswer: 132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1873 from 32.1.\nAnswer: 31.9127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 2*r + 194 = -8*z, -z + 202 = 2*r. What is the highest common factor of z and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/2315 (b) 24 (c) -0.04 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35.3 + 37. Let w = -1.76942738 - -0.06941098. Let r = g + w. What is r rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -30*h + 28*h. What is the remainder when 6 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105047?\nAnswer: 73, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 8 + 25 = -2*x, -i - 2*x + 3 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 502 - 545.6. Let x = j - -39. Let v = 4.60053 + x. Round v to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n*v**3 + 491*n*v**2 + 45*n*v - n - 11*v**3 - 640 wrt v?\nAnswer: 6*n*v + 982*n - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-20) + (-1)\/(-2). Let g(k) = k**2 + 20*k + 19. Let c be g(-1). Is c less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819*d - 734*d = 1011925. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 265 + 39. What is the remainder when a is divided by ((-351)\/(-15) + -3)*35\/14?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/(-77) + -218*42\/5313.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.63 and 26389292.\nAnswer: -16625253.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.0819 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*552\/(-180))\/((-20)\/(-25))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 times 0.5?\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 7*o - t + 2, -26 = -4*o + 5*t. Suppose -5*w = -8*w - c + 2836, -3777 = -o*w + 3*c. List the prime factors of w.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/16 (b) 2 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -171, -175, -179, -183, -187?\n\"Answer: -4*k - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -31. Suppose -51 = -4*o + 5*y, 11 = -8*o + 9*o - 3*y. Suppose 0 = o*m - 13*m + 3*n - 51, 3*m + 2*n = 125. Is m less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04249170698 to 4 decimal places.\nAnswer: 0.0425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 24*g = 52. Solve 0 = g*t + 3*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 90*d - 899. Let q = 2 - 2. What is the remainder when (18\/4 + q)*2 is divided by n(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818205.141 less than -0.54?\nAnswer: 1818204.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - h + 2668 = 0, 28*a - 30*a + h + 5351 = 0. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2208*u**2*y**3 - 7*u*y - 4569*y**3 - 18*y wrt u.\nAnswer: 4416*u*y**3 - 7*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132378.\nAnswer: 2, 3, 22063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 1627.15 (b) 1\/31 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 51*h. Let w(c) = 192*c - 181*c - 8 - 1. Let p(i) = -5*i + 4. Let q(s) = -9*p(s) - 4*w(s). Give q(k(j)).\nAnswer: 2*j**2 + 51*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*c - 124*c = -252. Suppose -c*j + 1740 = -1716. What is the lowest common multiple of j and 168?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 36 - 63. Suppose 8*v = b*v - 344. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k**2. Let z(u) = u**2. Let m(p) = 2*d(p) - 14*z(p). Let g(c) = c**2 + 8*c + 8. Let l be g(-7). Determine m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*q + 21. Let a = 351 - 314. Let h = q + a. What is the lowest common multiple of 18 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*a + 30. Let o be (-4)\/14 - a\/(-14). Let v = 7 + o. Solve -y + 2 = v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1392 + 2344. What is the remainder when ((-6)\/4)\/((-42)\/d) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of -4*1\/(-3)*21 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677*s = 2*x - 675*s + 32, 4*x - 4*s = -120. Suppose -2*b = 3*h + 1, 3*h = 2*b + 15 + 4. Suppose 0 = h*a + 2*a + 5. Put a, 0.4, x in decreasing order.\nAnswer: 0.4, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38803 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*1\/(-3) + (-53)\/((-4293)\/(-47034)). Sort -2, 0, 3, z.\nAnswer: z, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 687010 by -2987.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 5 + 1)*(-21*m + 6*m + 7*m) - 4 + 4 + m)*(-2 + m + 2)*(m + 2*m - m) as k*m**3 + y*m**2 + n*m + v and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9585 (base 16) to base 9\nAnswer: 57450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -232 - -2?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-5)\/(-2))*(10730\/(-174) + -7).\nAnswer: 103\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*k**3*z**2 - 420*k**3*z - 2235*k**2*z**5 + k**2*z + 2*k**2 - 15*z wrt z.\nAnswer: 414*k**3 - 44700*k**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 4:54 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + -1.41. Let g = i - -7.4. Which is the smallest value? (a) 1\/7 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 620\/(-60) + (-18)\/8 and ((-134)\/(-36) - 2) + -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, g: 2, y: 5}. What is prob of sequence yg?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386021 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c - 48. Let t(r) = -r**2 - 28*r + 11. Let f be t(-12). Let l = -133 + f. Calculate the remainder when l is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -43 (b) 4 (c) -154 (d) 2 (e) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661536923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 71, 117, 165, 215, 267?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385521880 divided by -4.\nAnswer: 96380470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 1\/4*v**4 + 0*v**6 - 3\/28*v**8 + 9*v + 0 + 0*v**2 + 0*v**3 + 0*v**7 + 0*v**5. Find the third derivative of d(a) wrt a.\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = -655. Suppose c = 2*u + y, 2*u = 3*y + 341 - 114. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyylbygybybgygybyg. What is prob of sequence gb?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**3*g**2 + a**3 - 7*a**2*g + 10*g**2*i**3 + 26*g*i**3 wrt g?\nAnswer: -12*a**3 + 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14888371?\nAnswer: 41, 211, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Suppose l + o = -2*l + 7, -5*l - 3*o = -5. Solve -t*v = -v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*g + 228*g + 6*g**2 + 232*g - g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*r + 180*r = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 3*f - 6. Let u be 1*-3 - 6\/(6\/(-13)). Suppose -13 = -t - u. Solve -3*o - f = -4*g + 5, -3*o = t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68937, -245381, -539455, -951159?\n\"Answer: -58815*x**2 + x - 10123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 77 - 27. Suppose 7*q - 2*q = t. Suppose 0 = 5*j - 3*w, q*j + 8 = 5*w - 11. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005522052?\nAnswer: 2, 17, 14787089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48425314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89332196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5777920 divided by 15616?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2 (c) -71 (d) -2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 421.6801 from 16.039565.\nAnswer: -405.640535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 7*d**2 + d + 2. Let m = -29 - -22. What is q(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + 0.5. Put z, 5, 1\/4 in increasing order.\nAnswer: 1\/4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -c - 4*c. Let m(i) = -76*i - 69*i + 146*i. Let t(a) = a**2 + a. Let v(f) = c*t(f) + 4*m(f). Find the second derivative of v(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -28*k - 2. Suppose -5*l - 9*l + 252 = k. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -885543?\nAnswer: -885545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 32772445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.52583 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j. Let q(g) = 532*g. Determine q(x(k)).\nAnswer: 2660*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -718940 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 18, 16, 16?\n\"Answer: w**2 - 7*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32300, 32220, 32072, 31856?\nAnswer: 31572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 9*o**2 + 6)*(18*o + 30 - 33*o + 10*o) as m + v*o + b*o**2 + a*o**3 and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 53947 to the power of 1\/2, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1733589 to the nearest one thousand.\nAnswer: -1734000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q**2 - 2*q - 4*q)*(-2*q**2 - 2*q + 2*q).\nAnswer: -4*q**4 + 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*r = 4*u + 8, 2*u - r - 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((3 - -4) + -9) - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*p - 2 + 94*p - 3 - 2 + 5.\nAnswer: 39*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 8*s**2 + 8*s - 3. Let m be l(7). Let u(n) = -n**3 + 5*n**2 - n. What is u(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v - 2700 = -355*v - 9436 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 285 + -273 + ((-1192)\/85 - -2).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23442286\/980 - (0 - (-12)\/(-40)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -15 - (8 - (2 + 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 27*y**2 - 50*y + 6. Give t(25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -110?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 5*j**2 - 8*j + 7. Let q be c(6). Let s be -3 + (-2 - q) - -2. Determine z, given that z**2 + 1 - 3*z + z**s + 0 + 0*z**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4711606.\nAnswer: 2, 271, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001193 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5373*a**5 - 5161*a**2 + 7*a**4 + 5348*a**5 - 39*a**4 wrt a?\nAnswer: -1500*a**2 - 768*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxykxyvyky. Give prob of sequence my.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/10))**(4\/7) assuming y is positive.\nAnswer: y**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 89 and 10.\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*h**5 + 1225*h**3 + 2*h**2 + h - 97787 wrt h?\nAnswer: -1600*h**3 + 7350*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84 - 587\/7. Let t = -23.56 - -34.2. Let n = t - 10.6. What is the third smallest value in 0.3, n, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -5 (c) -0.15 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-343))\/(9\/63)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/3, 0.2, 3 in descending order.\nAnswer: 3, 0.2, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 434 - 229. Let j = 205.0000179 - q. What is j rounded to 6 decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzfztftttfz. What is prob of sequence fftz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2 + 24*u - 6. Let d be z(3). Does 15 divide 32 - d - (-1 - 1)*167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0749 + -118.2749. Let m = i + 118. Sort m, -2\/17, 0.5 in decreasing order.\nAnswer: 0.5, -2\/17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 40*c + 252. Calculate k(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -289*k + 1. Let s be p(2). What is s rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 24*p**2 - 18*p + 138. What is o(-25)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76581175 by -3063247.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*(sqrt(33)\/((sqrt(6)*-2)\/sqrt(2)) + (2*sqrt(66) + sqrt(66))\/sqrt(6) + 1)*6)**2.\nAnswer: 103680*sqrt(11) + 1446336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54699, -54840, -54981?\n\"Answer: -141*q - 54558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7825 is divided by 488.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.109 + -26.809. Let g = o + 30.7. Which is the second biggest value? (a) -6 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 52. Suppose z*h - 352 = 13*h. Let r be (168\/h)\/(3\/(-4)). What is the third smallest value in r, -1, 0.4, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-2)*(-41)\/3608*24)\/24.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - w. Let i(x) be the second derivative of x**4\/8 + 3*x**2 - 3*x. Let j(p) be the first derivative of i(p). What is -j(m) - 3*k(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:26 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66444 and 791?\nAnswer: 66444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let g = 2 + 0. Let z(a) = -5*a**2 + 6*a. Let b(d) = 3 - 3 + d + 9*d**2 - 10*d**2. Let k(x) = 6*b(x) - z(x). Give g*k(l) - 3*p(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 274\/17 (b) -4\/5 (c) 0 (d) 2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m = -7*m - 1 - 131. Suppose 26 = -2*u + 5*h, -5*h + 3 = -17. Is u\/3*(m - 59) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2 - 2 - 2*d + 3 - d**2. Let f be (2\/4)\/(4\/(-16)). Give y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130722, -265984, -401246, -536508?\n\"Answer: -135262*q + 4540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -42. Let c(z) = z - 9. Let d be c(5). What is the remainder when x is divided by d*((-1)\/2 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1459904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:57 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1005, 1003, 999, 993, 985, 975, 963?\n\"Answer: -x**2 + x + 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - sqrt(252)*5*-6)*4 + 2 + (sqrt(252) + 1 + -5 + sqrt(252) - (2 + (2*sqrt(252) - sqrt(252)))))**2.\nAnswer: -6000*sqrt(7) + 3937516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 63 - 3 - 16)*(3*v**2 + 2*v**2 - 3*v**2) to the form f + x*v + z*v**2 and give z.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + 37*i**2 + 12*i - 104. Determine d(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 87, 89, 91, 93, 95?\n\"Answer: 2*s + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -30316962.16 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-1)\/k)\/k*k)**33\/(k**(-3)*k**(-1\/4))*(k*(k\/((k*k\/k**(-5))\/k))\/k*k*k*k\/k**(1\/6)*k*k*k*k*k)**(12\/11) assuming k is positive.\nAnswer: k**(-1173\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/5)\/i**(1\/2))**(-35) assuming i is positive.\nAnswer: i**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -925 and -1.\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -707, -1467, -2235, -3005, -3771, -4527?\n\"Answer: i**3 - 10*i**2 - 737*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 - 2822\/15. Which is the second smallest value? (a) j (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Let m = 1757\/3 + -585. What is the closest to m in -1, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49984.97 kilograms to nanograms.\nAnswer: 49984970000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**3 - 4*k**2 + 4*k**2)*((-56 - 12*k + 30*k - 21*k)*(2 - 5 + 1) + 29*k + 15*k + k) in the form a*k + f*k**4 + o + r*k**2 + z*k**3 and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341 or -334?\nAnswer: -341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 0.07, -43, -3, 5 in descending order.\nAnswer: 5, 0.07, -8\/7, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:40 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -6\/7 + 2\/7*s**2 - 4\/7*s = 0. Calculate s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*g - 46 = -g, 3*g = i + 18. Let f be -2 - i\/10*2. Which is the nearest to 0.1? (a) 4 (b) -6\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**3 + 2*p**2 + p**3 - 5*p**2 as r*p + d*p**3 + u*p**2 + v and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -4 + ((sqrt(176) - 3*(sqrt(176) + sqrt(176)*-2)) + sqrt(176) - sqrt(176)) + (1 + sqrt(176))*6*-5)*3)**2*5.\nAnswer: 290160*sqrt(11) + 5397165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2.72 (b) 2 (c) -8\/2175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36614, 36654, 36718, 36806?\n\"Answer: 12*g**2 + 4*g + 36598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -b - 1, 3*f - 2*b - 2*b = 4. Let s = 4\/15 + 1\/15. Factor s*p**2 + f - 1\/3*p.\nAnswer: p*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(9\/5)*v**(24\/5) assuming v is positive.\nAnswer: v**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 5.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21891*r + 10687*r + 10454*r)*(1 + 5*r - 1) + r**2 - r**2 - 2*r**2.\nAnswer: -3752*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (77 + -38 + 10)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 983 + -404. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 4. Suppose 3*a + 14 - 26 = 0. Suppose -5 = a*l - 21. Calculate p(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -63304*x + 63315*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/13 + 23994*s**2\/13 - 212426*s - 2785530\/13 = 0. What is s?\nAnswer: -12111, -1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24939 is divided by 52.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -23881200 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 212 = -222. Solve 0 = -b*o + 4*q - 20, -3*o - 5*q + 7 = -18 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153518128 divided by -231202.\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32401.4 millennia in months?\nAnswer: 388816800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = 14*c - 248 + 3 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 898278 divided by -6?\nAnswer: -149713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)*y**(2\/19)*(y\/y**(1\/17)*y)**(6\/13) assuming y is positive.\nAnswer: y**(5\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697506227.\nAnswer: 11, 41, 811, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-72)*(189\/5)\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 92 = r. Let z be 4\/(-10)*(-2 - r). Let x(p) = -6*p + 5*p**2 + 4 - 2*p + z*p. Let d(w) = -4*w**2 - 2*w - 3. Determine 4*d(l) + 3*x(l).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 433 and 1.16?\nAnswer: 431.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9\/l)\/l)**(-36) assuming l is positive.\nAnswer: l**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 - y**4\/4 + 2*y**3\/3 + y**2\/2 + 2*y. Calculate the remainder when s(-5) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 8 - (2 - 2 - -5)) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.408829 rounded to three dps?\nAnswer: -0.409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26.96 + 0.04. Let t = 23 - q. Suppose -2*n + 8 + 2 = 0. What is the second biggest value in t, -3\/8, n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/60 - v**4\/3 - 4*v**3\/3 - 4*v**2 + 11*v. Let k(c) = 4*c + 1. Let f be k(1). Suppose 0 = -0*d - f*d - 30. Give w(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + 27*p + 6. Let g be m(13). Let f = 930 - g. Is f bigger than -104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 33 = -154*b + 153*b, -2*r = -4*b - 12 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a3a4b661 - -4?\nAnswer: -1a3a4b659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2773 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19532 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 210513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42119.1 months to years.\nAnswer: 3509.925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 98*i + 1.\nAnswer: -98*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11127, -44396, -99845, -177474, -277283, -399272, -543441?\n\"Answer: -11090*k**2 + k - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1336*0.21\nAnswer: 280.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -579, -3, 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s. Let z(d) = 24073836*d - 111*d**2 - 24073836*d. Give z(g(m)).\nAnswer: -7104*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 2\/9 (b) 8 (c) -4\/7 (d) -1\/6 (e) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 148*i + 163*i + 5 + 3*i**2 to f + n*i**2 + u*i and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/57 in 0.4, 5, -190, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6*(-7)\/((-42)\/(-939))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n - n)*(-2*n + n + 4*n)*(5 - n - 5) + (-3 + 2*n + 3)*(-n + n**2 + n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(756\/70)*(-1)\/(-2)*-12?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1717 - 7163?\nAnswer: -11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 86*l + 18*l + 4*l**2.\nAnswer: -l**2 + 104*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 14*a - 57 = -15*a, -15*y - 3*a = -3*y + 207 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.4, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-4 + 2)) + 27 + -21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - m = -4, -5*o - m + 680 = 655 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1158 + 1162. Let p be (-61)\/(-1*2\/6). Suppose 57 = v*y - p. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203456 and 7480.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1007\/4 (b) 2030 (c) 4 (d) 0.1 (e) -3 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:57 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h**4 + 1 + 9*h**2 - 3*h**4 + 2*h**4 - 13 - 9*h. Let k(a) = a**4 - a**2 + a + 1. Let y(o) = -i(o) - 9*k(o). Differentiate y(c) with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p - 4. Let d(j) = j - 3. Let q(c) = 1. Let k be (4 - 2)\/((-4)\/26). Let i = -9 - k. Let v(m) = i*q(m) + d(m). Calculate f(s) + 4*v(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/55, -0.3 in decreasing order.\nAnswer: -2\/55, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-116)\/28 - -4). Suppose -2*c = -1 - 7. What is the remainder when p - ((-8 - -1) + 4) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrjjjjjrrjjjrj. Give prob of picking 3 j and 1 r.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 6:39 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209 + -209.2. Let p = -11\/2 - -6. What is the second smallest value in p, -0.3, d, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*x - 21, -4*t + 21 = x + 2*x. Suppose 0 = t*d - 2*d - 2. Let b(o) = d*o + 5*o - 4*o + 3*o. Let n(z) = z**2. What is b(n(f))?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1307234560 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549*n + 57635 = -544*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*h + 6*h + 0*h to the form q + t*h and give t.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 32 = 389 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1347*t + 147920 = -20455 for t.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**3\/3 - 7*o**2 + 2*o - 6. Let b be v(11). What is b rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = -8*d. Suppose 6 = d*z - 7*z, z = -5*w + 102. What is the greatest common factor of w and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or 40.776272?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 4*z. Solve z = 2*f - f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (3 + (14 - 10 - 1) + -28).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 1.64?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 88, 306 in ascending order.\nAnswer: -1, 88, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/51, 51, -4, 3?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60, -76, -100, -132, -172, -220?\n\"Answer: -4*p**2 - 4*p - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gararrgrrarga. What is prob of sequence aa?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = 22*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*l - 4731 = 349*l + 85*l - 15279 for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -362*v + 491. What are the prime factors of p(-3)?\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**17*y\/y**(-2\/35)*y**8\/((y**(1\/20)*y*y)\/y) assuming y is positive.\nAnswer: y**(3501\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 + 7 = 2*y, -5*y = s - 14. Is s*((0 - -542) + -1)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1705556638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/4*(22 - -1). Let j = -17 - m. Is ((-6)\/2)\/(15\/j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w - 59*w + 62 = -149*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 53*b - 87. Calculate f(-19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**3 - 4. Let c(r) = 3*r**3 + 3. Let a be (0\/(-3) - 0)\/2. Suppose t = -a + 3. Determine t*c(u) + 2*i(u).\nAnswer: u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22791534 rounded to 4 decimal places?\nAnswer: -0.2279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(s**5 + 2*s**3 + s**5 + 1 - 3).\nAnswer: -10*s**5 - 10*s**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/4, 0.5, 2\/3, -8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uusd when four letters picked without replacement from llklseusulldkldl.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 11*j + 19. Let u be k(-8). What is the nearest to 0 in u, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 + 5 - -2 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 197180?\nAnswer: 985900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192 - -190. Let t = -2.00001275 - b. What is t rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.6 + -71.6. Which is smaller: b or 750?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 2:31 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16103 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 4*u + 14*u**2 - u.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -424 + 429. Solve -2*n + 7 = -d, -n - 11 = x*d + 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794071781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -726760 + 726322. Let t = -0.05 + -3.95. What is the third biggest value in -4\/3, t, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*l**3 - 2*l**2 + 49 wrt l.\nAnswer: 327*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 14*k + 378. Let q be s(-14). Is -38\/3 less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 6. Let u be d(6). Suppose u = 2*m - 2*h + 7*h - 64, -4*m - 4*h + 140 = 0. What is the remainder when m is divided by -2 + 1 - (-5 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291467457 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 519*n + 4. Let j(s) = 39*s**2 - 4*s + 2. Let r be j(1). Let z be 26\/169 - r\/26*-2. Is o(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5101 (b) -14 (c) -4\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 13 - -11) + -6 + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 1\/24*d**4 + 0*d - 5*d**2 + 1\/3*d**3 + 0. What is c(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.5122 litres in millilitres?\nAnswer: 57512.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213\/4*i**2 - 1\/4*i**5 - 35\/4*i**4 + 0 - 45\/2*i - 157\/4*i**3 = 0. Calculate i.\nAnswer: -30, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11362.9 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334 - 30001333?\nAnswer: -30002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 36*f - 34*f - 20, -3*o = 2*f - 30 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -237 + 41?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -455 + 532. Calculate the remainder when j is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, j: 1, x: 5, e: 1}. What is prob of sequence jxge?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 135 = 63. Let w(u) = -13*u - 5*u - 11*u + p*u. Let y(a) = 8*a**2. Give w(y(b)).\nAnswer: -88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1522 + 315. Let o = k - 1988.1. What is o rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1511.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -72185.074 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 7*y**7\/10 - 7*y**6\/2 + 141*y**5\/20 - 29*y**4\/4 + 4*y**3 - 6*y**2\/5 + 7*y. Factor w(u).\nAnswer: 3*(u - 1)**3*(7*u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**4 - s**3 - s**2 - 1. Let p(b) = 18*b**4 - 479*b**3 - 553*b**2 + 4. Let l(y) = 4*f(y) + p(y). Find the third derivative of l(m) wrt m.\nAnswer: 48*m - 2898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 6*r - 4. Let f(p) = 4*p**2 - p. Let t be f(-1). Let y be g(t). Which is greater: -1\/10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q + 26*q = -520. What is the smallest common multiple of 6 and q?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*g**2 + 13*g**2 + 24*g**4 + (3*g + g - 2*g)*(2*g**3 - 2*g**2 + 2*g**2) + (2*g**2 + 1 + 0*g**2 + 0)*(g**2 - 3*g**2 + g**2).\nAnswer: 26*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (24 - 28 - -29)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73 + 11*h - 73)*(-2*h - 4*h + 3*h) - 6*h**2 - 20*h**2 + 12*h**2 + h**2 - 2*h**2 + 2*h**2 to v*h + w*h**2 + r and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 60 = 3*i - 3*n, -5*i - n + 100 = 0. Let s = i - 13. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.679074*2\nAnswer: -19.358148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 0.04, 2, 0.2, 25, 387?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374444 and 903.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 6*m + 4. Let c be j(6). Suppose t + 8 = 4*x, -t - c*t = 0. Suppose 4*p = 3*v + 227, -p - x*v + 38 = v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402 and 16095678?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1016\/15910560*1044)\/((42\/40)\/(2\/(-8)))\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g - 20 = 23*g - 41*g + 7*d, -g + 2*d + 13 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42186, 168595, 379314, 674349, 1053706, 1517391?\nAnswer: 2065410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 159 + 16 = 0. Solve -5*c = -5*b - y, 5*b + 3*c - 1 = -20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 48.1. Let m = 106.93 - 106. Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289943000 rounded to the nearest one million?\nAnswer: -290000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*j + 18543 = -997*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 16*l - 2*l**2 + 0*l - 2 - 1. Calculate the remainder when a(13) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, v: 5, f: 1}. What is prob of picking 3 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/(-16)*2*1. Let u(k) = -k**2 + 8*k + 10. Let x be u(t). Solve -4*s + 8 = -3*w - 7, x = s + 2*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - ((-17 - -23) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 41. What is j(-15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 - 10*b**2 + 38*b**2 + 4 + 45*b**5 wrt b.\nAnswer: 2700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, v: 1, i: 2, l: 1}. Give prob of sequence vl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5 + (-4 - 1 + 7)*(-5 + 4 + 0) + 3 + 0 - 1 + 1 - 5 + 3)*(-38 + 3 - 9)*(-t + 2 - 2).\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-49)\/(-147) - 38\/6)\/(-2*1). Suppose 2*m + 1 - 13 = 0. Calculate the highest common factor of m and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.573 - 0.4.\nAnswer: 4.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1004 - 996.63. What is g rounded to 1 decimal place?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2*1)*30\/(-396)*(-5388)\/(-2245)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c891d + -2c?\nAnswer: c88e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/2 + 71*n**3 - 216*n**2 + 217*n - 145\/2.\nAnswer: (n - 1)**3*(n + 145)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 26. Solve -a*c = -c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*c - 24 - 1, 4*c + 3640*d - 19 = 3641*d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 (base 11) in base 10?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + l - 44 = 0, 202*t - 409*t + 209*t + l - 24 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*z**2 - 15*z + 24.\nAnswer: -3*(z - 1)*(3*z + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.846 + -0.546. What is the third biggest value in -140, 4, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = -34*t - 3*l + 41, -4*t = 3*l - 37. Which is the nearest to -1.3? (a) -0.5 (b) -0.09 (c) t (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -52. Suppose -r*f - 4*s = -8, 5*f + 3*s = 3*f + 4. Suppose -f*w = 3*j - 346, -5*w = 6*j - 10*j + 492. List the prime factors of j.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 9*b + 11. Let x be g(8). Let r be x\/((27\/6)\/(-3)). Let v(h) = h + 9. Let o be v(-6). Put o, -4, r in decreasing order.\nAnswer: o, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0*a + 3*a**2 + 2*a + 4*a**2 + 1. Let i be t(-4). Suppose 0 = h - 5*s + 24 - 80, -2*h + i = -3*s. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1916\/2599?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 392 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 4:21 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 10*k = 0. Suppose 4*o + 411 - 7 = k. Let t = -64 - o. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7585)\/20 - 1\/(-1). Let o = -375 - i. Let h = -811\/154 - -31\/22. What is the common denominator of h and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39762763 to the nearest integer?\nAnswer: 6306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7028925 (base 10) to base 11\nAnswer: -3a70a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 + 5) - (-10 - -7) - (-31 + -27)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 16*j - 64 = 0. Suppose -j*o = m - 888, m + m = 3*o + 1809. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11703\/(-42911))\/((-1)\/121)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(105\/20).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppff when four letters picked without replacement from fppffpppppp?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 152, 260, 320, 326, 272, 152?\n\"Answer: -q**3 - 18*q**2 + 169*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69 or 332?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 167*v + 952. Calculate k(-83).\nAnswer: 1035","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-4))\/(13\/26))\/(6\/(-40)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11483 divide 2616254544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-621)\/(-1449))\/(6\/(-14))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5402, -11625, -28566, -61583, -116034, -197277, -310670, -461571?\n\"Answer: -893*x**3 - x**2 + 31*x - 4539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2363904 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9084, 18170, 27254, 36336, 45416?\nAnswer: 54494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 8:21 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -955028120 to the nearest 1000000.\nAnswer: -955000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -32 + (2 - 23) - 13.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1626 divided by -51?\nAnswer: 542\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8084 = 183*g + 79*g + 11570 + 9952 for g.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 1120, 2540, 4548, 7156, 10376, 14220?\nAnswer: 18700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2. Let b(y) be the first derivative of -1\/2*y**2 + 1 + 0*y. Determine x(b(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(4\/9)*b)\/(b**(-1\/9)\/b*b))**(-32) assuming b is positive.\nAnswer: b**(-448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w - 162 = -80*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6151.889 - 50.811. Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 2, -3\/31, 210, -0.4.\nAnswer: -0.4, -3\/31, 0.12, 2, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 7*o**2 + 4. Is 10 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2 - (3 + -1). Suppose 4*a + g - 12 = 0, 3*a = -3*g - 2*g + 9. Suppose -a = -5*d + 7. Solve -d*h = r + 2, y = h + 2*h - 3*r + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/(-63))\/((-1)\/3). Let w = -29 + 29.1. What is the biggest value in y, w, -2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.288 + -0.48. Let u = -0.5 - -0.7. Let o = c + u. Round o to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8623 (base 12) to base 11\nAnswer: 10068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2541080 - 3*n**2 + 2541080 - 3*n + 53*n**3. Let p(w) = -4664*w**3 + 265*w**2 + 265*w. Give 265*j(h) + 3*p(h).\nAnswer: 53*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6641\/116 - (-1 + (-5)\/(-4)). Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11623.\nAnswer: 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78751 is divided by 665?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**4\/24 + 14*g**2. Let b = -5 - 1. Let q(m) be the second derivative of -m**4\/6 + 3*m**3\/2 + 191*m. Determine b*z(t) + q(t).\nAnswer: -2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.44 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -9. Let j = 13 - p. What is the closest to 0.1 in -0.1, j, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 86, -2, -5 in ascending order.\nAnswer: -5, -3, -2, 10, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751.0327495237 take away 1.8?\nAnswer: 1749.2327495237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 103 = -3*g. Let d = g + 112\/5. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -108, -103, -84, -45, 20?\n\"Answer: l**3 + l**2 - 5*l - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -371 + 370.422. Let d = j + 0.178. What is the biggest value in d, 2\/13, 0.06, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*v**(-13)*v**15\/(v**13\/v) assuming v is positive.\nAnswer: v**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 203300 (base 5) in base 14?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2210098 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1.0429, 53 in ascending order.\nAnswer: 1.0429, 2, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 15. Let s be y(12). Suppose -3*o = -4*c + 6 + 21, -3*o + s = 5*c. What is the third derivative of -17*f**6 - 2*f**2 + 13*f**c - 2*f**2 wrt f?\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 2748984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.049876141 rounded to two dps?\nAnswer: 6.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1271712 = -11260*i - 1987*i for i.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c - 15 = 0. Suppose -2*i - k + 177 = 0, -8*i = 14*k - 12*k - 710. What is the remainder when i is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.70014 millimeters in meters?\nAnswer: 0.05170014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -7506721.4.\nAnswer: -7506720.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (105\/28)\/(6\/112). Let m be (-260)\/y + 16\/(-7) + 2. Let u = m - -7. Sort 4, -3, u in increasing order.\nAnswer: -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)\/d)**(-1\/39) assuming d is positive.\nAnswer: d**(2\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*b**3*w**4 + 2*b**3 + 21*b*w**2 - w**6 wrt w?\nAnswer: 1776*b**3*w - 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 27.8, -0.2, -2.23, 4\/3, 2\/7?\nAnswer: 27.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -1, -2\/11, 2, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*p**5 + 98*p**3 + 1498*p?\nAnswer: 220*p**3 + 588*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -821.441321 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19760459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4714411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382322.\nAnswer: 2, 191161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*v + 5 = 0, -3*h + 2*v + 10 = h. Calculate the remainder when 13 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from nnnnnnnnoonnnnoonn.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -57429.0265 rounded to zero dps?\nAnswer: -57429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t**(-2))\/(t*t**(1\/5)\/t*t))**18*((t\/(t*t**2))\/t*t\/(t*t**(-1)))**(2\/13) assuming t is positive.\nAnswer: t**(-254\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67.44 + -64. Let j = l + -4.85. What is j rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6227116, -6227115, -6227114, -6227113?\nAnswer: -6227112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -77, -125, -191, -281?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 48*d - 8. Suppose 5*o + 25 = 5*q, -4*q - 3*o - 7 + 13 = 0. Let s be g(q). What is the highest common divisor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4)*r*r*(r\/(r**6*r))\/r)\/(r\/((r\/(r\/(r\/((r*r**(1\/2))\/r)))*r)\/r))**(7\/6) assuming r is positive.\nAnswer: r**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 823.9351g to tonnes.\nAnswer: 0.0008239351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 113243?\nAnswer: 1358916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3 - 3 + 4*o + 2. Suppose 0 = -3*c + 35*u - 32*u, 3*c - 4 = 2*u. Determine a(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(405) - ((sqrt(405) - (sqrt(405) - (sqrt(405) - (sqrt(405)*1 - sqrt(405))*-1 - sqrt(405)))) + sqrt(405)))\/(3*-1*sqrt(9)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 - 5 - (-33 - -30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203 + 103. Let m = -100.065 - d. Let k = m - -0.064616. What is k rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -2 - (5 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d + 57. Let g(o) = o + 11. Let r(n) = 11*g(n) - 2*u(n). Give r(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28566 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -7. Let u be w\/(2\/4 + -2). What is the remainder when 42 + 2 - u\/(-2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 1 + t**2 - 1 + 5 + 2*t - 10. Calculate o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let s = -13 + 16. Calculate the greatest common divisor of s and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - t. Suppose 2*q - p + 2*p + 3 = 0, 12 = -4*p. Let z be q\/((-2 + 3)*2). What is i(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -393*i**4 - i - 3*i**2 + i**2 + 368*i**4 - 1 to l*i**3 + k*i + j*i**4 + x + s*i**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o**2 + 2*o + 1. Let y be a(-3). Let v = -371 + 366. What is the nearest to 2\/23 in y, 5, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4410 = 235*a - 320*a + 211*a for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 536349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257960 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 74*s**2 + 3*s + 1. Let y be a(-1). Let v be ((-2)\/4)\/((-45)\/y). Let 0 - b**3 + v*b**4 + 0*b + 1\/5*b**2 = 0. Calculate b.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 - -3.6. Let r = -1.4 + x. Let j = -7 + r. Put j, -4, -0.05 in decreasing order.\nAnswer: -0.05, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1952 + 1952.000020988. Round y to seven dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14)*(-3 + 10\/15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0.6. Suppose 2*j = 2*w - j - 104, 52 = w + 4*j. Let v be (0 - -1)\/(w\/(-8)). Sort v, d, -1\/8 in decreasing order.\nAnswer: -1\/8, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-6)\/12 - 3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -22*j - 9. Let z be f(-7). Let a = -101 + z. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + -3 - -17) + (3 - 6) + 60 + 0\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118718*f**2 + f - 49068 with respect to f.\nAnswer: -237436*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -197, -198, -199, -200, -201, -202?\n\"Answer: -o - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1397 and -94461.89314.\nAnswer: -94462.03284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 47*q**2 + 18*q - 1. Is x(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -65*x**2 - 35*x. Let a(d) = 7557*d**2 - 2529*d**2 - 6*d - 2518*d**2 - 2521*d**2. Calculate -35*a(y) + 6*v(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.482 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129309*i**3 - 138701*i**2.\nAnswer: 775854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1322107 + -3?\nAnswer: 1322104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0060506 rounded to four decimal places?\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + -7 + 3\/(-3). Let g(k) = k**2 + 9*k + 11. Let f be g(h). Solve -z + 2*i - 28 = f*z, -2*z - 2*i = 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**3 - k**2 + 4*k - 13. Calculate the remainder when t(3) is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2 = -50*g + 48*g, 4*g = 2*h + 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1140 is divided by 1133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367802?\nAnswer: 2, 19, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/19)\/x**(1\/6))**28)**(-31) assuming x is positive.\nAnswer: x**(10850\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*c - 125 = 0, -5*j = -2*c - 14 - 167. Which is bigger: j or 34?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -23. Let u = -15 + m. Let f = 0 + -1. What is the nearest to f in -0.4, -1\/11, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(72) + 0) - (-3*sqrt(2)*-1 - sqrt(2)))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 3. Let x = 53 + -77. Let j = x + 34. Calculate the least common multiple of q(7) and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 988767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 925\/13 - 71. Which is greater: 2\/17 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.247 and -0.01226111.\nAnswer: 6.23473889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1636, 0 in ascending order.\nAnswer: 0, 5, 1636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4.54*14\nAnswer: -63.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 16. Let p = -17 + 22. Let u be h(p). Suppose 4*x - u = a, -10 = -2*x + 2*a - 0*a. Solve -5*i - 15 = -z, i - 4 - x = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 76. Suppose -4*v + 3*l = -859, 4*l + 1073 = -v + i*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -186, -208, -250, -318?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 - 644. Let t = v - -654. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 16) to base 2.\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 66\/5 (b) -0.4 (c) 10 (d) -173 (e) -3 (f) -0.1 (g) 14\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8 - ((-325605)\/(-12060) - 19) and 1\/1206.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**3 + 4020*m**2 + 127809*m - 419526 = 0. What is m?\nAnswer: -34, 3, 1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/30)\/(10\/((-700)\/(-126))).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/(-4)*16\/10 and 590\/(-280) - (-1)\/4.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618 is divided by 101.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 8*n + 3*n - 4 = -h, 3*n + 45*h + 5 = 46*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1554 + 1579. Solve -20*o + p*o + 35 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-1)*(-9)\/(-6). Is g at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 766385 + 7325973 = 10*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**3 + i**3 - 4*i**3)*(40 - 240*i - 240*i + 481*i) as w*i**4 + j*i**2 + m*i**3 + q + c*i and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -877\/3 at least -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 25588 = -4*y, 5*z - 25615 = 2*y + 2*y. Round y to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/4 - (-8 + 1). Let p(q) = -q**3 + 5*q**2 + 6. Let s(z) = z**3 - 1. Let c(r) = p(r) + 2*s(r). Let y be c(-5). Solve 9 + g = -y*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/78 - (-11)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 24 - -145) + 19 - (-2 - (-7 - -5)).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1089*q - 1078*q = -22 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159528139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = -1. Let y be (-28)\/(-8) - v\/(-2). Let h = -1 + y. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/344 and 95\/352?\nAnswer: 15136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t*t)**(-2) assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6*3\/(-1). Let z be 0 - (d - (-1 - -1)). Let u = z - -9. Solve 4*q - 1 + 2 = 3*b, 0 = u*q - 4*b + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -191540, -175066, -158594, -142124?\n\"Answer: -z**2 + 16477*z - 208016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8542.\nAnswer: 2, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 10. Let q = u - -10. Let c = -4 + q. What is the second smallest value in 4\/7, c, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/60 + 6*p**2. Let a(c) = 36*c. Give m(a(t)).\nAnswer: 1296*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 + 12*d**2 + 20*d**2 + 13*d**2 - 70*d**2 + 10*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4589371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44971 by -10.\nAnswer: 44971\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1201110?\nAnswer: -1201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 10:16 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i**3. Let o be a(-1). Suppose 9 = -3*x - o. Let c(y) = y - 1. Give c(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -60358 + 60358 + 271*i**3 - i**2 in the form k*i**2 + n*i + h + f*i**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 260?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9231*n**3 - 16725*n**3 - 89734*n**3.\nAnswer: -115690*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3368 + -3370. What is the nearest to 8 in c, -0.1, 0.3, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594*s**2 + 303*s**2 + 285*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3134 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(1 + (sqrt(1700)*-2 + 3 - sqrt(1700))) + 0)**2.\nAnswer: -10440*sqrt(17) + 551641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -0.14, 365, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 + 76. What is the third biggest value in 0.3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 29*u - 46. Let y be j(-11). Solve z - 6*z - y = 4*i, 4*z = -4*i - 28 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*y + 12*y + 13*y + 12*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/75*5*100\/(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 16*k**2 - 2*k - 23. Calculate y(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -v - 125, 4*u = 3*v + 33. Suppose -9*i + 0*i + 756 = 0. What is the highest common divisor of i and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7796 - -8067. Which is greater: w or 269?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) - sqrt(336)*2) + sqrt(105)\/(3*sqrt(5)))\/((sqrt(1008) + -4*2*sqrt(1008))*-6))**2.\nAnswer: 25\/47628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 10*d + 3*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3863 + -3452. Calculate the remainder when d is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/1015 and 73\/870.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + 0.18. Let b = -2.7 + 3. Is b bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 30*o**2 + 22054*o + 43997. Give w(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 11*b + 16*b + 14*b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489736 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*g - 10*g - 4, 2*y + 2 = -5*g. Let n = g - -127. Calculate the greatest common divisor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 + 28)\/(9\/6). Let l(g) = 25*g + 160. Is l(r) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(2 - 2 + 2*u)*(11 - 10 + 14).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12981058 divided by -4\nAnswer: 6490529\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -18 - 1\/3*s**3 - 6*s + 2*s**2. What is f(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 17*s + 203. Let q be o(8). Suppose -12*k + 2144 = -7*k + 4*i, 4*k - q*i = 1740. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 13*t**2 - 18*t + 12. Let g be j(14). Let o be (-124)\/g - (-5)\/((-110)\/(-4)). Find the common denominator of o*1 - 1785\/(-90) and -19\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6708 - -6708.3. Let t = -1\/337 + 695\/7077. What is the fourth smallest value in 5, b, t, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76 times -0.0083?\nAnswer: 0.006308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.116085 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1921*s**2 - 8*s + 1. Is b(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4 - 7*a**3 + 20*a**2 + 132*a - 144 = 0.\nAnswer: -6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83721?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 9 (b) 1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 15. Let g be ((-2)\/(-3))\/((-4)\/(-60)). Let w = g + 1. What is the smallest common multiple of w and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**4\/4 + o**3\/3 + 7*o**2 + 8*o + 1. Let a be l(-6). Calculate the greatest common divisor of a and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pte when three letters picked without replacement from ppeeteeep?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.230024223 to 5 decimal places.\nAnswer: 0.23002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, -0.2, -0.14, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/357 - -349\/1428. Let m(p) be the first derivative of 0*p**2 + r*p**3 - 21 + 0*p. Factor m(n).\nAnswer: 3*n**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (33\/(-44))\/(((-5)\/(-68))\/(-5)). What is the greatest common divisor of z and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -1\/390 (c) 0 (d) -2\/17 (e) 239\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153062.\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/14104 and 143\/774.\nAnswer: 126936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/5, 1\/2, 0.44, -5?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -13831*q**2 + q - 9. Let i be j(-6). Let a = i - -1077931. Suppose -3*w + a = -2*w. Round w to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 9. Let v(a) = a**3 - 3*a**2 + 3*a - 1. Let q be v(x). Solve 4*c - 5*c + 5*n + 4 = 0, -4*c - 4*n = q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 683*b*v**4*y - 5182*b*v**3*y - 4*b*y - 2*b - 1333*y - 19 wrt v?\nAnswer: 2732*b*v**3*y - 15546*b*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*((sqrt(128) - (1 + sqrt(128) - sqrt(128)))**2 - sqrt(128)).\nAnswer: -387 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = a - 0*a - 23, -4*a - 13 = n. Let b = n + -2. Let z be -6*b\/(30\/(-4)). Solve 7 = z*s - v, -4*s - 3 = -2*v - v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 9. Suppose 0 = -232*l + 235*l - 78. Let h(d) = d + 2. Determine l*h(z) - 6*q(z).\nAnswer: 8*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 23 = -5*a, -4*a = -z + 4*z - 6. Let n be 0*(-3 + (-5)\/z). What is the second derivative of 3*k + n*k + 0*k + 4*k**3 + 0*k wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 10*u + 15. What is the remainder when 26 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -797, -758, -687, -578, -425, -222?\n\"Answer: h**3 + 10*h**2 + 2*h - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7760 divided by 2?\nAnswer: -3880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.34 + -2.58. Let i = h - 0.08. Let t = i + 6.06. What is t rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 10, t: 1, z: 6}.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 21 = 3*r + 77, 0 = -3*m + r - 28. Let n be ((-50)\/(-30))\/(m\/(-12)). Let s(k) = k**3 - 7*k**2 - 2. Let z be s(7). Put z, n, 1 in increasing order.\nAnswer: z, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7357835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 70*g**2 + 341*g - 26. Give o(-6).\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 3. Let z be s(2). Let l = 4.975 - -0.025. Which is bigger: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29530 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9731 is divided by 1868.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -6. Let b be 4\/(-6)*h\/(-6). What is the closest to 1 in 2, b, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -3 (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26\/3, -2\/5, -578837 in descending order.\nAnswer: -2\/5, -26\/3, -578837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2882*o**3 + 2853*o**3 + 2859*o**3 - 8616*o**3.\nAnswer: -22*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**4\/24 - g**3\/3 + 5*g**2\/2 - 2*g. Let l(x) be the first derivative of u(x). Let w be 3 - 23\/(23\/6). Calculate l(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 4:51 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671.03019 nanoseconds to hours.\nAnswer: 0.000000000186397275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 20*v**2 - 10*v + 165. What is z(-21)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2.9 or -303?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -143 (b) 1\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**8\/84 + j**5\/10 + 3*j**2 - 3*j. Let f(n) be the first derivative of a(n). What is the third derivative of f(c) wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-21) + (-119327)\/(-273). Let v = -434 + f. Sort 1, 5, -3, v in descending order.\nAnswer: 5, v, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162.324 to 1 decimal place.\nAnswer: 162.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 12, 5, -6, -21, -40, -63?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 53, 85, 113, 131, 133?\n\"Answer: -k**3 + 7*k**2 + 16*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**3\/3 - 2*f**2 + 2*f + 652. What is j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1 + 10 - 5 + m. Let k(g) = -2*g - 8. Suppose -3*n = 2*l - 6*l - 1, l - 3 = 4*n. Let h be k(l). What is v(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**6 - 2143*z**5 + 2*z**4 + 3*z**2 - 513*z wrt z.\nAnswer: 480*z**3 - 128580*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 75 = 3*n, 123 = n + 4*n + 4*h. Let d(i) = 2*i**2 - 34*i - 4090. Calculate the remainder when d(55) is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 8 + 24 = 0. What is the least common multiple of p and 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 0. Let c = 9 - w. Suppose 16 = 2*g - c*g - 2*m, -12 = -4*g - m. Solve -g*f + 2*f - 4*q - 22 = 0, -q = 5*f + 28 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1837*c*o**3 + 2*o**3 + 1272*o**2 with respect to c.\nAnswer: -1837*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h - 67. Calculate l(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1792*v + 2*v**3 - 2*v**3 - 26519*v**4 + 14872*v**4 + 13447*v**4 wrt v?\nAnswer: 21600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 0.09.\nAnswer: -7.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1025 - -332. What are the prime factors of l?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c3288 - -e?\nAnswer: -1c327a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4*3\/(-180))\/1)\/(26\/130)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, -2, -3, 154 in decreasing order.\nAnswer: 154, 0, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 426 divided by -58497\nAnswer: -142\/19499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 5*i = -55, 2*i - 62 = -5*j. Suppose 4*t = 5*t - j. Is -1 + t - (-2 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 206.235 or 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -7 (b) -4 (c) -2\/2127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1138524?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -35*r**3 + 7*r**2 + 7*r - 3. Is w(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/9))**(-7\/9)\/(v**(-6\/29)\/(v\/v**(2\/73))) assuming v is positive.\nAnswer: v**(142981\/171477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 167a8c (base 13) to base 4\nAnswer: 2020223210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 764412 greater than 764388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-19)\/(10 - (-781)\/(-77)) is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 396*t**5 + 3*t**4 + 204*t + 1. Let m(x) = 394*x**5 + 4*x**4 + 205*x + 2. Let n(l) = 3*m(l) - 4*q(l). What is the second derivative of n(r) wrt r?\nAnswer: -8040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72832.42 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 3 + 3 + 0 - 1 + 2*z + 3 + (-2 - 1 + 5)*(5*z - 3*z - z) + 69*z - 319*z + 135*z.\nAnswer: -110*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -418 (b) -2\/11 (c) -86 (d) 36\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 7 - 9 - (7 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6322*a. Let o(d) = 11*d. Give y(o(r)).\nAnswer: -69542*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**5\/20 - k**4\/3 - k**3\/6 + 3*k**2\/2 + 48*k. Let s be (-23 - -24) + 8\/(-2). Determine w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 484*i**2 + 3428*i + 4426. Determine w(491).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -z + 4*o, 638*o - 633*o + 55 = 4*z. What is the highest common divisor of 9535 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 3*v + 3*v)*(-38*v**2 + 2*v - v**3 + 38*v**2).\nAnswer: -2*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -188, -376, -564, -752, -940, -1128?\n\"Answer: -188*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3472 and 29078?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**2)\/t)\/t)**16\/(((t\/t**(-4\/5)*t)\/t)\/(t\/((t\/(t*t**(-2\/17)\/t*t))\/t))) assuming t is positive.\nAnswer: t**(-2713\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -414 - -415. What is the highest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7652, 7672, 7692, 7712?\nAnswer: 7732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -432.8 and -13.3123.\nAnswer: -446.1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2102 + -1)*(-1)\/(-15). Let h = q + 140. Suppose -3*o + 7*o = 0. Which is bigger: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4869.855 millilitres?\nAnswer: 4.869855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18511)\/40 + (-4)\/(-10). Let k = v - -750961\/1624. Let p = -11197\/812 + k. Find the common denominator of 119\/18 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -18829*i - 148. Let c(o) = 94144*o + 814. Let a(t) = -2*c(t) - 11*x(t). Let y(n) = -2*n**2. Calculate y(a(p)).\nAnswer: -709213122*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 8:00 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -9565.\nAnswer: -76520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -9, -3.14, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 36777.49 to the nearest one hundred.\nAnswer: 36800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 550 + 122 = 0. What is the highest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 3, p: 3}. What is prob of sequence pe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36131.32341 rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9452.377227 + 9452.3. Round i to three decimal places.\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + r. Let x(a) = -4*a**2 + 2*a - 6. Let t(y) = -y + y + 7*y - 9*y**2 - 2*y - 13. Let l(u) = -3*t(u) + 7*x(u). Give l(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34845*o + 34807*o = -4522. What is the remainder when 2247 is divided by o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 260*f + 4209. Determine n(-13).\nAnswer: 829","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -129 + 449. Suppose -u*y - 4 = -38*y. Let m(p) = -236*p**3 - 4*p**2 + 2*p + 2. Let a be m(y). What is a rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202110 (base 3) in base 8?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3463, 6774, 10085, 13396, 16707?\nAnswer: 20018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**4 + s**4 + 2*s**4)*(-3*s + 3*s - 3*s) - s**5 - s**5 + 4*s**5.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50575 or -50041?\nAnswer: -50575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**7\/63 - 19*q**6\/45 - 49*q**5\/30 - 13*q**4\/18 + 50*q**3\/9 + 32*q**2\/3 - 28*q + 5. Suppose w(r) = 0. Calculate r.\nAnswer: -16, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2. Suppose 5*g - z = 12, -4*g + 0*z = 4*z. Let i(b) = 0*b**2 + 3*b**2 - 3*b**g + 2*b**2. Calculate c(i(x)).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9)*3 + 12. Suppose -3*g + 4*y + 28 = g, -z = -3*g - y. Suppose -4*f + 2*i = -18, g*f - 5*i + i - 15 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229.3 + -3.3. Let h = x - 225.999999455. Round h to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3154 + 3*q + 16*q**3 + 4*q**3 + 3152 + 2*q**2 - 2*q**4 to the form w*q**4 + s*q**2 + d + y*q + r*q**3 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124533 is divided by 1055?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10156 - -10978. Calculate the greatest common factor of 66 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.39 at least as big as 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879993?\nAnswer: 3, 97777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w**2 - 33*w + 33*w - 24 - 16*w**2. Let i(k) = 5*k. What is f(i(p))?\nAnswer: -175*p**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, l: 1, r: 1, m: 2, k: 1, a: 1}. Give prob of sequence ar.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 452469000 to the nearest 1000000.\nAnswer: 452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/215, -1, -2\/25, -0.3, 1 in increasing order.\nAnswer: -1, -0.3, -2\/25, 4\/215, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429164 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21828 + 21834. Let l(n) be the first derivative of -4 - 7\/2*n**4 - 1\/3*n**w - 2\/3*n**3 + 2*n**5 - 8*n + 8*n**2. Determine h so that l(h) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 14. Let l be i(-10). Let c(q) = -q**2 + 5*q + 2. What is the units digit of c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z + 148*z**2 - 42*z**2 + 6*z - 43*z**2 + 23 - 50*z**2 as w*z + d*z**2 + v and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.7 - 10. Let u = 5265.699968 - 5266. Let x = k - u. What is x rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187841860 and 1420?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 + 1010000000000001010?\nAnswer: 1001111111111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**2 - 2*w + 5. Let z(k) = -k**2 - 8. What is -r(b) + z(b)?\nAnswer: 8*b**2 + 2*b - 13","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*s + 4796 - 958. What is the remainder when s is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from jjjjjjjttjjjjtpj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**2 + 2*w - 17. Let p be (-2970)\/450 - (-2)\/(-5). Let j(r) = 2*r**2 - r + 8. What is p*j(v) - 3*m(v)?\nAnswer: v**2 + v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49\/7922501 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1934551*b - 2098710 wrt b.\nAnswer: 1934551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1806 = -7*k - 124*k - 627 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhhhhhkhhkhkhhhhk.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 1, q: 1, k: 6, v: 9}. Give prob of sequence aq.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.56 - -10.5562. What is s rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 55230*j**3 - 381211254*j**2 + 1144130886*j.\nAnswer: -2*j*(j - 3)*(j + 13809)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 1. Let n be m(2). Let w = n + 0. Solve -2*g - 2 = 5*j, w*g - 30 = 2*j + 3*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + q**2 - q. Let x be c(0). Suppose 4*a - 11 = -2*u + 7, 3*u - 3*a + 9 = x. Find the common denominator of u + ((-1593)\/42)\/(-9) and 91\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = -2*t - 8, d = -4. Let w be ((-3)\/2)\/(7\/t + 3). Solve c - 8 = w*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from qstvvsvvvsvv?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2463, -2521, -2653, -2889, -3259, -3793?\nAnswer: -4521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201.75 + 201.269. Are o and -1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 26, 0.0552, -9, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028909 is divided by 342966?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1251992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**7\/945 + 7*b**6\/180 + 59*b**5\/135 + 5*b**4\/9 - 200*b**3\/27 + 6*b**2. Find v such that w(v) = 0.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 131. Suppose 4*n + 5*g + 8 = 0, -5 - 27 = -4*n + 5*g. Suppose 57 = 3*y - 3*a, n*y - 2*a + q = 4*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(12\/40)*(-6)\/15. Suppose g - 41 = -r*a, a = 5*g + 4*a - 137. Suppose -6 = 22*l - g*l. Solve -l*j = -7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6*a + 1 = 0. Let g(x) = 14*x**2 - 1. Does 3 divide g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -3*x + 48. Let k = 14 + x. Solve k*l - 4*h + 20 = 0, -5*l - 5*h = -2*h - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mlmlmvmv. What is prob of sequence lmml?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 109. Let k = -4 - y. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.54 + -16.66. Let q = z - -18.2. What is the closest to q in -0.6, 2\/19, 0.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*l + 26202 = 9635*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2287, -24.\nAnswer: -2287, -24, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -21.4 = 0.443535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 248\/185 + -20\/37. What is the closest to -0.1 in 5, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26365239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2912 + 2914. Let f = -21 - -11. Let x = 5 + f. Which is the smallest value? (a) -0.5 (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*q - 53. Let b = q + 59. What are the prime factors of (b\/4 - 0)*124\/3?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103791*t + 102716*t - 206509*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 10) in base 9?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1829.706*-414.\nAnswer: -757498.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 - 178. Solve -3*v - v - z = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 4 (b) 1\/9 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(3 - (3 + 0)). Let u = -3 - m. Let y = 0 - 2. Sort u, y, 2 in ascending order.\nAnswer: u, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -50. Suppose -4*l = -20, 0*u - 2*u + k = 5*l. Let q = 16 + u. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 4 - 1)*(142 + 37*z**2 - 142)*(0*z - 2*z + 3*z) + (0*z + 0*z - z)*(0*z**2 - 2*z**2 + z**2).\nAnswer: 408*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3141*d**3 + 672*d**2 + 31*d - 36014610 with respect to d.\nAnswer: -9423*d**2 + 1344*d + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.7 + -28.6369. Let y = 0.6187 + f. Let l = y - 0.68. Round l to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) -4 (d) -7\/11 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**4\/4 - 4239*g**3\/4 + 438929*g**2\/2 - 1287144*g + 1704904 = 0.\nAnswer: 2, 4, 212, 4021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 787977*x - 7 + 787977*x - 310*x**3 to t*x**3 + c*x + d + j*x**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-18))\/(0 + 9\/18))\/((-2)\/(-51))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvvv when four letters picked without replacement from {q: 7, n: 3, v: 9}?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.07 (b) -3\/4 (c) -183538 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10001100?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*o + v, 4*o + 44 = 9*o + 3*v. Suppose -o = 2*b + 17. Let u be (-1)\/2*0\/b. Solve -3*a - 2*a = u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 16 = -q, -4*m - q + 9 = -2*m. Let n = m + -6. What is the lowest common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-4) - 22\/6. What is the nearest to -2 in 0.3, 1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (5*sqrt(1584) - sqrt(1584))**2 - sqrt(1584))*-4 + 4.\nAnswer: 101380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1744434646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.579246 nanoseconds to minutes.\nAnswer: 0.0000000000596541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.6 + 3. Let h = g + 4. Let m = 1 + h. What is the nearest to -0.1 in 0, -0.4, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**7\/168 - h**5\/20 + h**4\/24 + h**3\/8 - h**2\/4 - 5*h. Factor j(i).\nAnswer: (i - 1)**3*(i + 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 114 = -3*q - 19, y + 5*q - 44 = 0. Calculate the remainder when y is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 7 - 3)*(8*c - 6*c**3 - 1 - 7*c + c) to the form r*c**2 + i*c**3 + o + y*c and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155654 and 0.1.\nAnswer: -15565.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 - s - 6. Let b be j(-6). Suppose 88 = -4*y - b*y. Let x = 97 + y. Calculate the highest common divisor of 30 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633073618 to the power of 1\/3, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -78 in ascending order.\nAnswer: -78, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94232.\nAnswer: 2, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28\/3? (a) 1 (b) 0.2 (c) 5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h*h**(-6)*h)\/h*h\/((h\/(h**(-12)*h))\/h)*(h*h**(4\/9))\/((h**16\/h)\/h) assuming h is positive.\nAnswer: h**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 10*b**4\/13 - 716*b**3\/13 + 10922*b**2\/13 - 6016*b\/13 - 4200\/13 = 0.\nAnswer: -2\/5, 1, 21, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6496623 divided by -1021?\nAnswer: -6363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*f**3\/7 + 251*f**2\/7 - 2290*f\/7 - 104.\nAnswer: (f - 7)*(f + 26)*(13*f + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y - 42. Let z be j(6). Suppose 0 = -2*q + z, 0 = a - 9*q + 4*q + 12. Solve r = -r - 3*d + 14, -a*d + 18 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(128) + (sqrt(1152)*1 - sqrt(1152)))\/(3*(sqrt(16) + sqrt(32)\/sqrt(2))))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {t: 1, a: 11, s: 1, o: 1, m: 1, i: 1}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -11*g**5\/20 - g**4\/6 - 2*g**3\/3 - 3*g**2 - 93*g. What is the second derivative of j(y) wrt y?\nAnswer: -66*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*n**3 + 307*n**2 - 300*n + 36.\nAnswer: -(n - 6)*(n - 1)*(43*n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 244776*v**3*y + 89*v**2*y + 2*v**2 + 7*v*y - 4*y wrt v?\nAnswer: 1468656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/15 + 8985952*m**2\/15 + 23962496*m\/5.\nAnswer: 2*m*(m + 8)*(m + 4492968)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-1) + (-3)\/1. Suppose 5*j = n - 3 - w, 0 = -n - 2*j + 32. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 226 - 1941. Suppose o + 161 = 4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 278178488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3357471 + 6747318.4. Let x = -3389873.599873 + b. Let y = x + 26.2. Round y to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 85 (c) 3 (d) 418 (e) 2 (f) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167448643.\nAnswer: 37, 379, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6069 times 3462?\nAnswer: -21010878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**22*(a*(a*a**(-18))\/a)\/a*a*a)**(-9\/10) assuming a is positive.\nAnswer: a**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 3:09 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 34 = 3*j, j + 66 = 6*j - 3*a. Solve 2*b - 5*n + 11 + j = 0, 4*b + 13 = -n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3*-0.02893\nAnswer: -0.095469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from fpnennnpnpnnpnn?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4214 = 137*c - 855 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004296752 to 5 decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 13*z = -33 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 881\/2, 5, 0.5, -2\/7, 160\/21 in decreasing order.\nAnswer: 881\/2, 160\/21, 5, 0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/330 and -13\/111536.\nAnswer: 18403440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -124*f**4 + 4208*f**3 + 9076*f**2 + 5032*f + 288 = 0. Calculate f.\nAnswer: -1, -2\/31, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + u + 7 = -3*q, 0 = 2*u + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2410 + -30343?\nAnswer: -33153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(13) - (sqrt(13) + -1) - sqrt(13))*-6)*-3 + 5*2*(sqrt(13) - sqrt(26)\/sqrt(2)))**2.\nAnswer: -756*sqrt(13) + 6057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 17*y - 8. Calculate x(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/2 (b) -8 (c) 10 (d) -0.1 (e) -0.129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1145757.9.\nAnswer: -4583031.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -181, -230, -299, -394, -521, -686, -895?\nAnswer: -1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406976600 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 306.8241 years?\nAnswer: 30.68241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6) - (-105897)\/99. Let w = o + -1090. Find the common denominator of w and 119\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 11*c = 465. Let l = c + -123. Let m = 108 + l. What is the remainder when m is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536062194 less than 536062197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q - 2 = l, 18 = -5*q + 3*l. Let j(h) be the second derivative of -4*h**3 - 3*h**2 - h - 134. List the prime factors of j(q).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**5\/5 + 95*n**4\/3 - 736*n**3\/3 + 728*n**2 + 6270*n. Factor p(b).\nAnswer: -4*(b - 91)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43aa0 + 3c?\nAnswer: 43adc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9\/(-36))\/((7\/(-268))\/7) is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 1116 = 3*u. Which is greater: u or -95?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.339261 > 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 1 - 1 + (-7*x + 23*x + 3*x)*(526 - 39*x - 526) - 3*x**2 - x**2 + 2*x**2 as y + f*x + m*x**2 and give m.\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 8586711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5837764 and 1699.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/3 + 15*z**2\/2 + 7*z. What is the tens digit of s(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18516.2 nanograms in micrograms?\nAnswer: 18.5162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (189\/18 + -10)*694 is divided by 93.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 7*x - 44. Let z(s) = s**2 - 2*s - 15. Let c(w) = r(w) - 2*z(w). Calculate c(-8).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4436 + 5448. What is the highest common divisor of 88 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212286*q**3 - 7*q**2 + 3910*q wrt q?\nAnswer: 1273716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1945 + 1943. Let p = -3.4 + 3.2. Which is the smallest value? (a) q (b) 6\/11 (c) p (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(27\/12))\/(-13*(-510)\/23868).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174987.\nAnswer: 3, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 16933\/102?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 886843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-25)\/10 - -3)\/(-2). Which is the third biggest value? (a) -2\/23 (b) y (c) -2 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4124, 8367, 12610?\n\"Answer: 4243*u - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462*u - 64928 = -548*u + 14590 for u.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (14 + -4) - (-48 - (-48 + -12))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 6. Suppose 9*g = -10 + 46. Give n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 13 = r, -2*r = -5*c - 3*r + 49. Calculate the remainder when 63 is divided by (-2)\/(-2)*(c + 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + sqrt(1331)) + (3*sqrt(1331))**2 + sqrt(1331) + -5 + (-3*-1*sqrt(1331) + sqrt(1331) - (sqrt(1331)*3 + sqrt(1331) + -2)).\nAnswer: 55*sqrt(11) + 11960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 4*i - 8. Suppose -5*k - 2*g = -0*g + 1, -2*k - 4*g = 10. Let a(t) = -t + k - t**2 + 2 + 4 + 5*t. Let u(p) = 5*a(p) + 4*h(p). Calculate u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + r = -4, 8846*z - 8843*z - 1 = 2*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90216 is divided by 66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 5*a**2 + 4*a. Let f(d) = d**3 - 4*d**2 - 3*d. Let b be 3 + -6*1*1. Let z(k) = b*n(k) - 4*f(k). Suppose z(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13342 + 12670. What is the second biggest value in k, 3\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 16*f - 2376 = -8*f + 16*f for f.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -29, 237, 829, 1855, 3423, 5641, 8617?\nAnswer: 12459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {m: 1, x: 1, c: 1, u: 1, i: 1, t: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 - 0\/(12\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*q - 428. What is q rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*v*x - 2*v + 171*x wrt v.\nAnswer: 14*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:02 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 3. Let y be x(3). Let b(a) = a**2 - 11*a + 76. Let d be b(11). Let q = -42 + d. Solve w = -5, y = 3*s + 4*w + w + q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 953655001900?\nAnswer: 953655001905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*(-1 + 1*(3*(sqrt(2057) + -1) + (sqrt(2057) - (sqrt(2057)*-2 + 4)) + sqrt(2057))))**2 + 0).\nAnswer: -403428 + 4928*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.013? (a) -0.108 (b) 0.015 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144.295 - -0.295. Let r = u + 147. Which is the nearest to r? (a) -2 (b) -3\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5\/3 - 68*s**4\/3 + 76*s**3\/3 + 68*s**2\/3 - 24*s = 0. Calculate s.\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/1026*(9\/(-6))\/1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {j: 4, h: 1, r: 8}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26599.9 - -25489. Let j = 1208 + g. Let z = j + -90. Round z to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = v - 10, -7*v + 20 = 2*b - 3*v. Suppose 86 = 2*z + y - 504, -3*z - b*y + 887 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186588899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*v + 268 = -0*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/18*-166*(-33)\/11. Let a = x - 285. Suppose 4*f - a = -f. Calculate the remainder when 49 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5998922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 2705932243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l = -160. Let o = 35 - 19. Calculate the greatest common factor of o and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -25, -355 = -2*b - 3*g + 210. Calculate the greatest common divisor of b and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 50*a - 28. Let r be t(-3). Let y = r - -518. What is the greatest common factor of 136 and y?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 b when three letters picked without replacement from fbbfbbffbbfbff.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.012, 2.5, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*g + 11 = 0, 2*f = f + g + 7. Suppose 28*m = 29*m - 224. Let c = 226 - m. Solve 5*i + 4*l = 19, -3*i - c*l - l = -f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 1)*(0 + 6 - 1)*(6*f + 0*f - 4*f)*(-4957 - 226*f**2 + 4957).\nAnswer: -9040*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4 = 739*j - 740*j, 4*a + 8 = 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 680\/((-115)\/(-23)) - -8.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/10010 and 139\/6370?\nAnswer: 70070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-93) - 28\/(-434). Solve j = 4*d + 9 - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -p + 6. Solve u - p = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -12.7 (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 5*v - 2 - 1)*(-4*v + v + 2*v) to k*v**2 + l*v + n and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 432 + -340. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -60705) + (-6 - -15). Suppose 24*z - 19*z = w. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/212237?\nAnswer: 3\/212237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 4*o - r = -16*o - 4, 5*o - 140 = 25*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11304?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4074998 is divided by 1666?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 810?\nAnswer: 80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*a*k**2*w**3 + 3*a*k**2*w**2 - a*w**3 - 2*k**2*w**3 + 167*w**2 wrt w?\nAnswer: -330*a*k**2 - 6*a - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 4*a - 2. Let m be l(-2). Find the third derivative of 3*z**2 - 7*z**4 + 3*z**4 + m*z**4 wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3325, 6635, 9937, 13231, 16517?\nAnswer: 19795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87\/(-27) + 18\/81. Which is the nearest to n? (a) -3 (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 61048, 4 in decreasing order.\nAnswer: 61048, 7, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -316777.7 + 1068160.\nAnswer: 751382.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.739 + 91138683?\nAnswer: 91138697.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.0762 + 0.0762. Which is the nearest to 0? (a) 0.5 (b) o (c) 0.09 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5915*c**3 - 21003*c - 1 wrt c.\nAnswer: 35490*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/(d*d*d\/(d\/d**(-14)*d)))*d))**(1\/15)*(d**7)**(-19\/5) assuming d is positive.\nAnswer: d**(-386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5*(0 + -10). Let z = -2 - k. Find the first derivative of z*x + x**3 - 2*x - 1 wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 14 = m - 4*m, -m + 4*r = -9. What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(2\/7)*w*w)**(-30)*(w\/(w\/w**2))**(-18) assuming w is positive.\nAnswer: w**(-942\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(833)*2*6 + sqrt(833) + 1*sqrt(833)*-4.\nAnswer: 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 15 - -7) + 30 + (2 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -58 + 28 + (7 - (3 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44217 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-0.214.\nAnswer: -0.01712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155691 (base 12) to base 11.\nAnswer: -228085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f. Suppose -3*b - 4*y = 32 + 10, f = 4*y. Let i be -1 - (0 + (-6)\/b). Is i at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(2\/1))\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 5) to base 15\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 3)*(-1 + 2 + 2)*(-2*t + 0*t + 0*t) + 8*t + 12*t - 5 - 13*t to b*t + k and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*b + 96. Calculate the remainder when (-3)\/6*b\/2 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 4:13 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 2*t**2 + 257*t + 2. Let h(i) = 3*i**3 + 5*i**2 + 514*i + 5. Calculate -2*h(v) + 5*n(v).\nAnswer: -v**3 + 257*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (43 - 53) - 0 - (-1 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 2*i**3 - 28*i**2 + 48*i.\nAnswer: 2*i*(i - 3)*(i - 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1995.505 - -2413. Let i = 418 - v. What is i rounded to two decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/14)\/(-2)*112\/140. Let y(m) = -m - 9. Let h be y(-7). Let z = -0.2 - -0.1. What is the nearest to z in h, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34603.9 or 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-322) + 84\/(-92)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-6) + (-3)\/9. Suppose -r*n + 22 = -2. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2550*l**3 + 18 - 2598*l**3 - 62 + 22 + 22.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 89. Let l(q) = q**3 + 5*q**2 - 3*q + 3. Let s be l(-4). Calculate the remainder when d is divided by -4 - s\/(4\/(-4)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 3)*(-32*r + 20*r - 14*r)*(-1 + 7 - 4)*(14*r**2 - 25*r**2 - 66*r**2) in the form w*r**2 + n + m*r**3 + t*r and give m.\nAnswer: -4004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45615445 by -9123089.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268444533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (8 - (-12 - -30))) + -19 + 10.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2930 is divided by 306.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10, z: 4}. What is prob of sequence zzz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/17)*(t*t**(3\/13)\/t)\/t)\/(t\/t**(4\/23))**(-15) assuming t is positive.\nAnswer: t**(59673\/5083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 0*a = -a + 4, -2*a = 3*y - 23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 44 = 4*z, -2*t + 2*z = -4*t + 18. Calculate the remainder when 39 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 - 6*q. Let s be p(-5). Let t(b) = -5*b**3 - 2*b**2 + 1. Let o be t(-1). Sort -4, s, o in decreasing order.\nAnswer: s, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 12:22 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**4\/54 - 2*w**3\/9 + w**2 + 38*w - 1. Factor a(b).\nAnswer: 2*(b - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:54 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85632 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2372 + 2419. Calculate the remainder when 702 is divided by t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 210.9 and -929599?\nAnswer: 929809.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 36 = -26. Suppose -y*b + 312 = 3*b. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3*h**2 + 2*h + (6*h - 3*h - 4*h)*(-2*h + 0 + 0))*(4*h + 4 - 4)*(-h + 7*h - 4*h).\nAnswer: 40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -614*r - 1 + 2 + 619*r to b + q*r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-22))\/(2\/(-2)). Let j = -2\/425 - -6806\/1275. Which is the closest to -0.1? (a) m (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 203054 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 192 - 163 = 75*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.86364 grams to micrograms.\nAnswer: 38863640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 686 and 84.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**2 - 6*m - 7. Let r(n) = n**3 - 10*n**2 - 26*n + 20. Let u be r(12). Let j(p) = -3*p**2 - 3*p - 4. Determine u*f(k) + 7*j(k).\nAnswer: -k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 158, 309, 466, 629?\n\"Answer: 3*u**2 + 142*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 + 0*l**2 - 6*l**3 + 0*l**2 - 2*l**2. Let u be f(1). Let g = u + 7. Solve -15 + 7 = g*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -17. What is the greatest common divisor of 56 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**4\/4 - 94*m**3\/3 - 788*m. Let o(r) = -r**2. Give w(o(a)).\nAnswer: -3*a**4 + 188*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k = 2*a + 62, 0 = -4*k - 13020*a + 13019*a + 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/33 - 8\/(-44)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (-1)\/(12\/(-98)) and -113\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 153*l - 1572. Let q be u(14). What is the highest common factor of q and 600?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpbbpbbbbbbbbpbbbb. Give prob of picking 2 p and 2 b.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095523.7 rounded to the nearest 100?\nAnswer: -1095500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-48))\/(1\/3))\/((-520)\/(-10660)).\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 20. Let t(o) = -o + 11. Let a(m) = -4*n(m) + 9*t(m). What is a(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9126184 = -81*j - 9125617 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 5215421*j\/2 - 2607711.\nAnswer: (j - 5215422)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -13 (b) -4 (c) -19\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 > -6\/7835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 164734794, 164734792, 164734790?\n\"Answer: -2*h + 164734796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -78, -88, -100?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:44 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*m, -w - 2*m - 14 = 2*m. Suppose 10 = -f + w*f. Suppose 2*i = 5*l - 10, 2*l = 4*i - 2*i + f. Solve l = 4*p - p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 176650 - 844845. Suppose 4*q = 92228 - 17248. Let z = q + v. Round z to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 24 - h**5 + (-33 + 33 - 8*h)*(-2*h**4 + 5*h**4 - 4*h**4).\nAnswer: 7*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9 + 2 + 215\/25. Is g <= -0.106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 78.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**7\/280 + u**4\/12 - u**3\/2 + 3*u**2. Let t(f) be the first derivative of p(f). Differentiate t(h) wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 + 12*m**2 - 4*m + 21. Let k be s(4). Solve 266 = k*b + 251 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -378969075329.999999294 + 378969075789. Let k = -452.18 + -6.82. Let m = k + i. What is m rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9\/1463 + -423793\/77539. Let w = y + 15961\/1590. What is the common denominator of 2\/15 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12023705 and 560.\nAnswer: 1346654960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -n - 5*p, 5*p = n + 2*n - 22. Let x(k) = -k**2 + 9*k + 12. Let v be x(n). Let j = -10 + v. What is the closest to -2 in 1\/2, j, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:13 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/4)\/(-1) + 14 + -6. Solve -r - 4 = -4*d, -5*d = x*r - d - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 646 = 32*p + 35*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-446)\/(-4) + (0 - (-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.125938 + -192831.99?\nAnswer: -192832.115938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/1254*((28 - 20) + -9).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1496)\/(-12)*(-18)\/(-456) + -5. Which is the third smallest value? (a) -0.1 (b) -1\/2 (c) 2\/9 (d) h (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 26. Let n = 8.1 - i. What is the closest to n in -1\/4, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333178824 divided by 344193?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 9 - 89012609396*l + 89012609396*l.\nAnswer: 3*l**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 3*b**2\/2 + 4*b - 875. Let y(z) = 7*z + 8. Calculate 13*p(a) - 6*y(a).\nAnswer: -3*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {x: 2, d: 1, z: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 + 58*t**5 - 4 - 3*t**2 - 8 + (0*t - 5*t + 4*t)*(-4*t**3 - 2*t**4 + 4*t**3).\nAnswer: 60*t**5 - 3*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3\/4 (c) -7\/6 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/2969 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2900\/31320)\/(2\/36)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1120378 or 1120376?\nAnswer: 1120376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/363 or 83313?\nAnswer: 83313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308920600?\nAnswer: 2, 5, 17, 43, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -259667, -259664, -259661, -259658, -259655?\n\"Answer: 3*q - 259670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*u + 418*u - 129*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.538353 micrograms?\nAnswer: 0.000000000001538353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**6\/10 - 19*p**4\/12 + 37*p**3\/6 - 4*p - 6. What is the second derivative of k(j) wrt j?\nAnswer: -36*j**2 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 31\/856204 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 28.2.\nAnswer: 28.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 5*p - 24 - 33 - 23*p**3 + 2*p + 77 to d*p + b*p**2 + c + x*p**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -36. Calculate the remainder when 127 is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 31767675 = 4*p. Let k = 5889225 - p. What is k rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558389 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + z - 314, -p + z - 103 = -z. Find the common denominator of (-95)\/p - -3 - 1 and 58\/33.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -156 + 260. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11656641?\nAnswer: 3, 1051, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 995 + -995.000045636. What is y rounded to six dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27806673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(-5*z + 3*z + z)*(16*z**2 + 18*z**2 - 5*z**2) to the form u*z**3 + s + a*z + x*z**2 and give u.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 14\/11 (c) -1 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71182278?\nAnswer: 2, 3, 3954571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -5314.\nAnswer: -5319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30425 - 30430. What is the closest to -2\/5 in -14\/55, a, 1\/3, -1?\nAnswer: -14\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -1139, 0.4, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1131*v**5 - v**4 - 7*v**3 + 213426*v**2?\nAnswer: 67860*v**2 - 24*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**2 + 2*z + 13. What is the tens digit of v(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 76 + 284. Suppose -13*o + b = -12*o. Is 145\/2 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -2 - (2 - 0). Suppose 0*n - n + 6 = 0. Suppose 0 = 2*y - n*y - 4. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 4*j**2 + 4*j**2 - 9. Calculate c(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**5\/10 + y**3\/3 - y**2\/2 + 47*y. Let j = 27 + -29. Does 11 divide l(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174213, 174212, 174211?\nAnswer: 174210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(16\/(-146))*(-392)\/(-49). Are p and 300 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8791 (b) 885.8 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 718153 = 2*i - 167815, 3*i = 3*a + 1328871. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*h + 33. Let t(m) = -m**2 + 13*m - 13. Let q be t(h). Put 1, 5, q in decreasing order.\nAnswer: 5, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*0.6.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-7) + (-12)\/(-1680)*36.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149214, -149107, -149000, -148893, -148786, -148679?\nAnswer: -148572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s**3 - 45*s**2 + 1 - 4*s - 3*s**3 + 46*s**2. Let i(y) = -y**2 + 3*y + 3. Let l be i(3). Is j(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhuhn. Give prob of picking 1 n and 2 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 48764, -3351 in increasing order.\nAnswer: -3351, 3, 48764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0.5 (c) 13.6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/27)\/(6\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/10 + (-10792)\/(-355). Suppose -52*k = -d*k - 336. Solve -k = p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -107 (b) 0.5 (c) 4 (d) -1 (e) 1308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 108421992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-1*5 + (sqrt(405) - -3*sqrt(405)*1))\/(sqrt(54)\/(sqrt(24)\/sqrt(4))*-1).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 + 113940*n**3 - 1253770*n**2 + 3989700*n - 2849875 = 0.\nAnswer: -22799, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -6*z + 35. What is the remainder when 54 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13015 or -13010?\nAnswer: -13010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38942.\nAnswer: 2, 19471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 951\/5 - 191. Let h = -12.7 - 0.3. Let v = h + 17. What is the third smallest value in -1\/7, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84108100 to the power of 1\/2, to the nearest integer?\nAnswer: 9171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1972544.301 to the nearest 1000.\nAnswer: 1973000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*i**4*y**3 - 183531*i**4*y**2 - 127*i**2*y**2 - 760*y**3 - y wrt i?\nAnswer: -1008*i*y**3 - 4404744*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1482*p**3 + 2*p - 3*p + p.\nAnswer: 1482*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1383120 to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.8. Let r = 11.6 + -12. Which is the nearest to -1\/4? (a) w (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3631\/3 - -1227. Which is smaller: 18 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g + 53 = -5*f, 4*f = 5*g - 37. Let v = f - -174. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22673297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8430000401 - -0.843. Round k to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/5 (c) -1 (d) 319 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/40 + (-16)\/(-10). Factor -t**2 + r*t + 23*t**2 - 21*t**2.\nAnswer: t*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10171 = 9*n + 1315. Suppose 36*i + n = 48*i. Is i greater than 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9147151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, w: 3, s: 1, e: 7}. Give prob of sequence kke.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -3.2\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441 divided by 120.\nAnswer: -147\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4237 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 18. Let r be m(6). Suppose k + 0*k + 2 = r, 5*k = o - 11. Suppose 2*y = -c + o, -y - 3*y + 3*c = 3. Which is smaller: -2\/51 or y?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 9 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 37*w + 1369.\nAnswer: (w + 74)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + m + 0*m = -3, -r = -3*m + 13. Suppose 3*p - 5*w - 35 = 0, 8 = p - r*w - 5. Solve -3*h = -2*k - h, h + 16 = p*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1422*h + 46928. Determine a(33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -19 + 3 + 26 + -18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((6*(-5)\/35)\/(-4))\/(342\/(-399))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40.29729 and 11322273.\nAnswer: 11322232.70271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-4\/9)*m))\/(m**17*m))\/(m**(-1\/8)*m**0*m))**(-19) assuming m is positive.\nAnswer: m**(25213\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29, 49, 67, 83, 97?\n\"Answer: -j**2 + 23*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 8074147?\nAnswer: -1\/8074147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.31 - -10.31006941. What is o rounded to 6 dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzj when three letters picked without replacement from {j: 1, u: 3, z: 9, q: 1}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/30 - (-102)\/170.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 2. Let w be v(2). Let z(q) = 0*q + q**w - q - 4 - q. Give z(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7412467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*b**5 - 235*b**4 + 425*b**3 + 1415*b**2 - 510*b = 0. What is b?\nAnswer: -17, -2, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and -6954.0237?\nAnswer: 6962.0237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*d*h**2*r**2 + d*h**2 + 754*d*h*r**2 - d*h*r + 3*h**3*r**2 wrt h?\nAnswer: -14*d*r**2 + 2*d + 18*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let r be 2\/6 - 33\/(-9). Let a(h) = h**2 - 4*h + r*h. Determine a(b(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6857, -22031, -45525, -77339, -117473, -165927, -222701?\nAnswer: -287795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:56 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 plus -1478767?\nAnswer: -1478180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 76. Let r be 5*j\/(-30)*0. Suppose 2*d - 180 = -2*i, r*d + 2*d - 5*i = 194. Calculate the highest common factor of 69 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (7 + -8)) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/12 + 115*x**4\/6 - 18*x**2. Find p such that i(p) = 0.\nAnswer: 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.7088232024 plus 130?\nAnswer: 161.7088232024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -5*h - 8, 5*k + 37*h + 3 = 39*h - 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 1}. Give prob of sequence jj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13025745*h - 4. Let r be i(2). Suppose -3*j = -r + 2351486. Round j to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2594.5 + -2595. Let a = -1\/4 - -5\/52. Sort a, i, 4, 3 in descending order.\nAnswer: 4, 3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000553 to six dps.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41530891*t**5 - 92235360*t wrt t.\nAnswer: 830617820*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = 9*n - 497. What is the remainder when 2202 is divided by n?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5351 = -3*m + 5*i, -m - 3*i + 831 + 976 = 0. Suppose 4*u - v = 9*u - 2240, -4*u = v - m. Calculate the remainder when u is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 28935 + 2849 - 4434. Is t a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvvvvvvvvvevv.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1341, 2655, 3969, 5283?\n\"Answer: 1314*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1362 + -1352. What is the smallest common multiple of d and 173?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18580652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -45*p + 1. Is h(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1905d?\nAnswer: -19061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(((h\/(h**(-4\/3)*h))\/h*h)\/h))\/h)\/(h**(-5\/7)\/h))**(-39) assuming h is positive.\nAnswer: h**(-377\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2, 2*r = -y - 3*y + 8. Suppose h + 7 = 2, r = -3*a + 2*h + 34. Differentiate a + 4 + 70*f - 82*f wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58811.4 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**8\/840 - t**7\/210 - t**6\/180 + 28*t**3\/3 - 10. Let w(s) be the third derivative of n(s). Factor w(r).\nAnswer: -2*r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 17 = 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1145737 + 375806 = 17489*q for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000256 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1137, -2271, -3405, -4539?\n\"Answer: -1134*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 186 - 72 = 3*r, -5*r - 250 = -5*h. Calculate the remainder when h is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -741, -2979, -6679, -11841, -18465, -26551, -36099?\n\"Answer: -731*x**2 - 45*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -38*t**2. Suppose -2*g + 11*g + 5*g = 0. Let p(l) be the third derivative of 0*l**3 + 17*l**2 + 1\/30*l**5 + g*l + 0*l**4 + 0. Calculate w(p(i)).\nAnswer: -152*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35375405 and 25506.\nAnswer: 636757290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(27\/12) + 6. Suppose r = -0 - 1, t*b + r - 189 = 0. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4 - (-2)\/(-300)*-597). Solve -a*z = -73*z + 138 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/11, 0.1, 0.17?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -19*w**4\/6 - w**3\/3 - 4*w**2. Let h be s(-5). Let z = h - 194. Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-48))\/(2*(-3)\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83\/60 - -7\/12. Let g = 122 + -126. Let s(b) = -b + 3. Let o be s(3). What is the closest to o in -0.2, g, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -40*l - 321. What is n(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*r + 4*u, -2*r - 9*u + 6*u - 5 = 0. What is the derivative of -22 + 9*t**r + 76 + 8*t**2 - 2*t - 6*t**2 wrt t?\nAnswer: 22*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/((-6)\/4))\/((-4)\/(-130)). Let k be 88\/10*(-4 + x\/(-10)). Suppose 8*j - 10 = k. Solve 0 + 12 = j*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-38))**(-12) assuming o is positive.\nAnswer: o**444","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 4. Let p(y) = y**2 - 7*y + 15. Is p(l) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 129*k - 5*k**2 + 190*k - 311*k - 1. Let w(d) = d**2 + 1. Let v be 1\/(-1)*(3 - 2). Let z(g) = v*o(g) - 6*w(g). Determine z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 140 + -134 - -13\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -7b167?\nAnswer: 7b167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -925, 4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-36))\/(548\/(-2055))*2\/5\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 - 5761\/77. Let s = w + 168. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:40 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 9 + (4 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*t + 1430 = -46*t. What is the greatest common divisor of 26 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 45*f + 558. Let o be s(-12). Solve 10*v + o = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -35*g - 17. Let w(h) = -h**2 - 182*h. Calculate f(w(m)).\nAnswer: 35*m**2 + 6370*m - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109600 - 43839971\/400. What is the common denominator of 53\/150 and d?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - 726.95.\nAnswer: -726.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccl when three letters picked without replacement from {c: 4, l: 1, i: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**3\/11 - 6*q**2 = 0.\nAnswer: -33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7176 divided by 8\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -628\/77 - -96\/11. What is the nearest to 1 in -18, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9766.6 - 9767. Which is the nearest to -2? (a) 42\/19 (b) t (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-6)*(-3)\/2. Suppose 14 = -l*y - 0. Let m = y - -11. Solve -m*k = 4*n, 3*k - n + 4 = -2*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-4 - 43) - 30?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -792*161\nAnswer: -127512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) -3 (c) -0.5 (d) -615\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 5*s**4\/24 - s**3\/3 + 6344*s**2. Let c(b) = -4*b + 1. What is 4*c(f) + 3*r(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 + 12*y - 22. Let j be a(9). Suppose -30 = -j*c + 5*q, 4*q + 21 = 4*c - c. Suppose c - 25 = -m. Solve 3 = -5*o - m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107242483.1 plus -445114?\nAnswer: 106797369.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21369*j*l**3 - 379*j*l**2*u**2 - j*l*u**2 - 2*j*l + 15*l**3*u**2 + l**2*u + 37*l**2 + 2*l wrt l.\nAnswer: 128214*j + 90*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 - 10*b - 8. Let l(g) = -9*g**2 + 21*g + 16. Let j(w) = -3*l(w) - 7*s(w). Let h be j(12). What is h rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1204 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 1361*j - 468. Calculate i(0).\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320275 (base 8) to base 11.\nAnswer: -73177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - (31 + -15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 46. Let l be m(-13). Solve l = 4*h - 2*b, 2*h - b - 15 = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -723332 divided by 180833.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -6 - (-85 - -90)) + 72.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 1)*1\/7*(-6 - -300). Let b(h) = 56*h. Let n be b(3). Calculate the highest common factor of n and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7720711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 13*l**2 + 38*l - 26. Calculate i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -1, 0, -367, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/7))**(-13))**(-3\/37)*((p*((p*((p\/p**(-1))\/p)\/p)\/p)\/p*p*p)\/p)**(-2\/5)*p**(-2\/7)*p*p\/(p**(-3)*p) assuming p is positive.\nAnswer: p**(4097\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((1\/(-4))\/((-6)\/24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6014907*s**3 + 570400*s wrt s.\nAnswer: -36089442*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4 = 4*g, 34 - 49 = -5*g - a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 71 = -23*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-64)*((-96)\/51)\/(-4)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*l - 320, 2*l - 34 - 94 = 4*j. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2*n)\/(n\/(n\/n**5*n)))\/(n**6)**(2\/3))**(21\/8) assuming n is positive.\nAnswer: n**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from {p: 6, w: 5, g: 1, y: 2, a: 5, k: 1}.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 12*g**2 + g + 1. Let w be z(12). Let q = 2\/1371 - 18743\/4113. Let f = 152\/9 + q. Is w greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.0698?\nAnswer: 0.0349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 131104.\nAnswer: -131082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 2*d - 164. Let l be t(12). Solve -12 = -l*j, -f = 2*j + 2*j - 17 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k - 4. Let j(q) = 7*q + 3. Calculate 7*j(p) + 5*s(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101999423.\nAnswer: 1223, 83401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*z - 1 = 0, 0 = 5*u + 5*z - 0*z - 15. Let f(b) = b**3 - 6*b**2 + 2*b - 1. Let t be f(u). Suppose -50 = 3*n - t. Solve q + 25 = -n*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from mmggmuugmsssug?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (153408\/1880)\/(1\/(-550)*-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 3*n - 5. Let h = -5 - -1. Let g be v(h). Is g smaller than 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2)*(-86 - 423106\/(-4895)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = -4*a + 347, 2*y - 342 = -4*a. Suppose -a = -7*p + 1. Calculate the remainder when 43 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1.416?\nAnswer: 2.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*p**2 + 2 + 481*p**2 - 5.\nAnswer: 154*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 156 + -107. Let u = -40 + c. Let w be (-3)\/(u\/6)*(-3)\/2. Solve 3*m = -a, -4*m - m + w*a = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 647141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**5 - 10*l**4 + 15*l**3 + 20*l**2 - 20*l = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484874201 to the nearest integer?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 317*r*w**3 + 10841773*r - 1647*w**4 wrt w.\nAnswer: 951*r*w**2 - 6588*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + w + 5982 = 0, -5*w + 1186 = h - 0*w. Suppose 9*b - h = -89. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 564 - 121. Suppose 0 = 4*j + s - 360, 0*j - 3*s = 5*j - o. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4*a**3 - 20 + 5*a**3 in the form r*a + k + x*a**3 + s*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-657)\/365)\/(-5 - 1)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 1180*y + 16271. What is k(14)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-170)\/8*216\/(-45) and 2788?\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8233 <= -8233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19685437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082324 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14004 and 516.\nAnswer: -7226064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 10*m - 51*m + 53*m - 7*m + 64*m + 3*m**2 + 360 = 0.\nAnswer: -15, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 13*c + 11. Determine l(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101011020022202 (base 3) to base 4\nAnswer: -110211303320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 - 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702 + 850 = 2*h. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113.2 * 253720.\nAnswer: 28721104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 24*s - 3*h - 74, 21 = 4*s + 267*h - 270*h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 5*q**2 - 7*q + 8. Let o be y(6). Suppose 5*u + 5 = 2*h, -u - u - o = -h. What are the prime factors of (1 + h)\/((-4)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -316*q - 26. Let p(s) = 63*s + 5. Determine -2*n(u) - 11*p(u).\nAnswer: -61*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/13))\/(f*f\/f**(-1\/7))*(f*f\/((f*f*f*f*f**(-5))\/f)*f*f)\/f**(2\/23)*(f\/(f*f**(-1\/6))*f\/(f\/(f*f*f**(-4))*f*f)*f)**(-6) assuming f is positive.\nAnswer: f**(47336\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1254)\/(-45) - 4\/(-30) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 73*h = -37441 + 13727. Calculate the remainder when h is divided by 159.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 1, 16, 47, 100, 181, 296, 451?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -21. Let x(r) = r**3 + 5*r**2 + 10*r + 18. Let j be x(-2). Let n = j + b. Solve -3*d - a - 12 = n, -4 = -d - 3*a - 0*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15723890*n**3 - 4*n**2 - 5*n - 20666 wrt n.\nAnswer: 94343340","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -1403) + (2 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 353292 and 925356.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -0.70692?\nAnswer: -4.29308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -375404, -375455, -375510, -375569, -375632, -375699, -375770?\n\"Answer: -2*m**2 - 45*m - 375357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/20 + y**4\/2 + 4*y**3\/3 - 2*y**2 - 1340*y. Calculate c(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4543 - 60?\nAnswer: 44b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-8))\/w*w*w**(1\/9)*(w**(1\/4))**(-47))**(-4\/5) assuming w is positive.\nAnswer: w**(671\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 85219108 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1790\/3113 - 5998831\/9961600. Calculate the common denominator of j and -19\/10.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*60\/8. Suppose -288 = -5*p - 31*p. Let r(x) = -5 + p*x**2 - 6*x**2 + 5*x**2 - 7*x - 6*x**2. What is r(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 212\/8 - (-12)\/(-8). Solve 7*u - 2*u = l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35953668 divided by 438.\nAnswer: -82086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 808565, 808593, 808627, 808667, 808713, 808765?\n\"Answer: 3*h**2 + 19*h + 808543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -208.4 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 1)*(6 - 1 - 2)*(5*l - 3*l + 3*l) - l + 3*l - l to the form t + r*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 + 792*l - 796 = 0 for l.\nAnswer: -199, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:51 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(35 - 20) - 2*-1. Solve -3*g + 8 = -h, f*g + 8 - 4 = 3*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4871, 1, -3, 0.1 in descending order.\nAnswer: 4871, 1, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**3\/6 - 5*q**2 - 4*q. Let b be o(11). Is 149 - 0\/(2\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqj when three letters picked without replacement from {d: 2, j: 1, q: 11}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6179638549?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-three quarters of a millennium?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 24 = -4*j, 13*j - 8*j = 30. Solve l = -5*c + 6*c + 2*h - 4, 5*c - 20 = 2*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**5\/20 - 7*r**2\/2 - 15. Let q(a) be the second derivative of g(a). Let z(t) = 10*t**2 + t + 1. Give 7*q(s) + 2*z(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453264 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6039 or -1?\nAnswer: 6039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7469\/(-388))\/((-7)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/45*2670\/(-178)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 781 + 347 = 3*k, 5*o + 11*k - 8*k - 280 = 0 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**4\/12 - 2*w**3 + 15*w**2 + 9*w. Let h be u(-14). Suppose 0 = -5*a + v + 25, -h*a + 6*a = -5*v + 49. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -24*y**2 + 713*y - 5230. Determine q(15).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 52*i. Let f(n) be the third derivative of n**4\/12 + 84*n**2. Calculate f(g(z)).\nAnswer: 104*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i*i**(-2\/5)*i)*i)**(-1\/3)\/(i**3*i**3\/i))**(-6\/5))**(-3) assuming i is positive.\nAnswer: i**(-432\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3411278, 1.\nAnswer: -3411278, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-6 - (-154)\/28). Which is the third smallest value? (a) -9 (b) -3 (c) -0.3 (d) -0.13 (e) i\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4710685136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 704927581 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5*q + 10 = 0, -5*a + 2*q - 7 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (166\/4)\/((-2)\/(-8)) - 2. Let m(y) = b + 166 - 332 - y. Determine m(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(13))*-3 + (sqrt(1300) - (sqrt(1300) - (0 + sqrt(1300)))) - ((sqrt(65) - 2*sqrt(65))*3 + sqrt(65))\/(1*sqrt(5)*-1)) + 0 + -1)**2.\nAnswer: -70*sqrt(13) + 374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-2\/21)*p**4\/(p\/(p\/((p*p*p**(1\/6))\/p))*p) assuming p is positive.\nAnswer: p**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*h + 26 = 0, -3*q + 4*q - h = -1. Let s = 56 + -54. Suppose -s*z + 0*z + 10 = -b, 4*z = 3*b + 20. Solve b*r = q*r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28881, 28879, 28875, 28869, 28861?\nAnswer: 28851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*l - 229 + 322. Which is the closest to -0.06? (a) l (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(5 + -4 + (2 + sqrt(7) - sqrt(7)) + sqrt(7)) + 2 + -1)**2.\nAnswer: 120*sqrt(7) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvvm when four letters picked without replacement from mvvmvvmv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42\/349 - -837\/1745. Let f(q) be the second derivative of -p*q**5 + 0 + 18*q - 5\/3*q**4 - 4\/3*q**3 + 0*q**2. Find z, given that f(z) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**5\/20 - f**4\/3 - 2*f**3\/3 - f**2 - f. Calculate j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/12*(-1 + -15). Let j = p + -2. Suppose 0*n - 6 = -2*n. Solve 0 = 2*l + n*c + 15, l = c + j - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9180)\/(1\/(-2) + 1). Let l = -936569493\/51020 + -21023\/2551. Let p = k - l. Find the common denominator of p and -37\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/112997 and 83\/2?\nAnswer: 225994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*q*v**5 + 210806*q*v**2 - 40*q*v + 771399*v**5 wrt v?\nAnswer: 1320*q*v**2 + 46283940*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5165201780 rounded to the nearest one million?\nAnswer: 5165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 13 = 3*l. Is (2 - -90) + (l - -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -326, -1275, -2854, -5063, -7902, -11371, -15470?\n\"Answer: -315*o**2 - 4*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15458 and 10903785.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99843594 and 342.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 6 = i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -7\/60*h**6 - 1\/8*h**4 + 0 - 3\/10*h**5 + 0*h**2 - 5*h + 1\/6*h**3. Solve d(j) = 0 for j.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 6870.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301974?\nAnswer: 2, 3, 50329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 9:13 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 7*m**2 - 5*m + 2. Let p be n(4). Suppose d + p = 6*d. Factor -d*a**2 + 2*a + a**2 - a**2.\nAnswer: -2*a*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - 6*h + 5. Let a be x(3). What is the highest common factor of a and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 5*p = 610, -12 = -4*p. Let x = -620 - w. Solve -x*u - 15 = -0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -1.59393194.\nAnswer: -4.59393194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -51. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 15. Let h = -0.2 - 0.1. Let x = -0.63 - -0.23. Which is the third smallest value? (a) x (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 - (-19 + 26)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -37*q**2. Let p(r) = 39*r - 36. What is u(p(h))?\nAnswer: -56277*h**2 + 103896*h - 47952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-12)\/m*m)**(8\/5)*m**4*m**(5\/8))**(-22) assuming m is positive.\nAnswer: m**(1001\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Suppose -1 = -a + 2. Suppose -4 = -2*i, 0*z + z + 6 = a*i. Let d(b) = -b - b + b + z. Determine s(d(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3*t*u*v + l**3*u**2 + 38*l**2*v - 12*l*t*u**2*v + 2*l*u**2*v - 13*l*u**2 + 2*t*u*v wrt t?\nAnswer: l**3*u*v - 12*l*u**2*v + 2*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5 + 3864*s**4 - 367668*s**3 - 11586*s**2 + 1110705*s - 735318 = 0 for s.\nAnswer: -1377, -2, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -334 - -322. Let a be 3\/(-9)*s\/(-4). Is -1\/17 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, n: 13}. What is prob of sequence tt?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -2 + -1 + -4 - -4 - (3 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*d**2*x - 17*d**2 + 2*d*x + 23849*x wrt d.\nAnswer: 16*d*x - 34*d + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21328 is divided by 171.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 50 = 10397*q - 10392*q, q - 3*z + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/4 - 8*z**3\/3 + 7*z**2\/2 + 10*z + 1. List the prime factors of c(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157\/20 - 25\/4. Factor 8\/5*l - 2\/5*l**5 - g*l**4 - 2\/5*l**3 + 4*l**2 - 16\/5.\nAnswer: -2*(l - 1)**2*(l + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1176087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9433*l**5 - 1093*l**2 wrt l.\nAnswer: 565980*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -994 and -658 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 767832 a multiple of 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*(k\/k**9)\/k)*k)\/k)\/(k*k**(2\/3)) assuming k is positive.\nAnswer: k**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + s)*(-4 - 3 - 3) + 0 + 0 + 2*s - 3*s - 3*s + 3*s as t + x*s and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 22 = -z, 2*v = 5*z - 4*z + 14. Suppose v*t - 5*t = 14. Let k = t + 3. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = h + 19, 45*f - 50*f - h - 29 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2970682 and 360646.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 334*s**2 + 8570*s - 33. Calculate p(28).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 25?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -186.803 - -187. Let p = -0.128 + w. Let f = p - -0.119. What is f rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 0, 3*y - 4*b - 15 = -0. Let d = 13 + -4. Suppose d = 2*u + u. What is the smallest common multiple of y and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = 3*t + h, 4*t + 2*h + 147 = -551. Suppose j + 4*f = 83, -6*f = -j - f + 101. Let c = j - t. Does 53 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = -4*f. Let i = 14 + f. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -755 + 2c?\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 163*q + 12. Let s(w) = 3*w - 12. Let o be s(6). Let g be h(o). What is g rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3133220 (base 4) in base 3?\nAnswer: 201122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 2*x = 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3024 (base 12) to base 3\nAnswer: 21011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 3*t - 6*t + (-4 + 0 - 2)*(4 + 1 + 7)*(2*t + t - t).\nAnswer: -150*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12*w - 46. Let s(h) = h + 1. Let o(p) = 3*p - 44. Let i be o(15). Let q(c) = i*n(c) - 4*s(c). Let x be q(7). Solve -1 = -5*b - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 10:43 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2677 = 13*x - 2612 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 110 = 8*i. Suppose 4*p - l = 108, -3*p - l + 64 = -17. Let h = p + i. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -146, -219, -292?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a1c (base 16) in base 3?\nAnswer: -22122220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**3\/3 - 16240*j**2 + 60383664*j - 62336055168 = 0.\nAnswer: 1704, 5238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 26. Let w = 11 + -18. Is 13 a factor of (-180)\/w - 4\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/11)\/(27768\/114543).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323303.\nAnswer: 271, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8 and (0 - -3)*1 - 71\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2 + 54*h - 29. Let v be q(-14). Let b be v + (-54)\/(-24) + 3\/(-12). Put 5, 2, 38, b in descending order.\nAnswer: 38, 5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97197789 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 + 44*w**2 + 18*w - 30. Let x be q(15). Suppose -24 = 7*b - x*b. Solve -b*z + 6 = 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -8, -0.67, 0.1, -25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 e, 1 r, and 1 j when four letters picked without replacement from noronjorjnjekjjrjrro?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 164 times -6985.75\nAnswer: -1145663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -247558 divided by 41\nAnswer: -6038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 458*j**2 - 13647*j + 2422*j**2 + 1026*j**2 + 6354*j + 6595*j wrt j?\nAnswer: 5980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277946, 277937, 277914, 277871, 277802, 277701, 277562, 277379?\nAnswer: 277146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2. Let f(n) = -25824520*n. What is d(f(c))?\nAnswer: -2000717499691200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -9. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*z - 1680 = -99*z - 66*z for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*i - 252, 161 = 19*q - 17*q - i. Calculate the greatest common divisor of q and 1066.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**5\/20 - 5*a**4\/12 + 2*a**3\/3 - a**2 - a. Suppose 4*u + u = 25. Calculate the remainder when v(u) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q - 3. Let y(d) be the third derivative of -d**4 + 0 + 0*d - 1\/15*d**5 + 2*d**2 + 8\/3*d**q + 11\/60*d**6 + 1\/168*d**8 - 2\/35*d**7. Factor y(i).\nAnswer: 2*(i - 2)**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 569\/475 - 22\/19. Sort 0.2, i, 0.\nAnswer: 0, i, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((8 - (17 - 18)) + -4 + -1) - 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -27\/10 (b) -4 (c) -5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 + -54 - -9) + -31.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k + 30. Let q = -123 - -123. Let i be ((-45)\/(-10) - 4)*q\/1. Is m(i) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + 22 + -13 + -20 + 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 2:08 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-48)\/(-68)) + (-2)\/8. Is ((-25650)\/6)\/(-5) - o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 861 = -2079. Calculate the remainder when n is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 419.3 + -419.1. Let t be (3\/7)\/((-6)\/21). Which is the biggest value? (a) -1 (b) l (c) t (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from czucepcpucppcccppcu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16696 divided by 3.\nAnswer: 16696\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49807388*o**3 - 130096437 wrt o?\nAnswer: 149422164*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 + t**5\/60 + t**4\/24 - 2*t**3\/3 - t**2 + 518*t. Determine w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000344 to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243100111 (base 5) in base 10?\nAnswer: -5050031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3110 at least as big as 3002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 - 0\/(-10 - -16). Suppose -19*d - 45 - 12 = p. Suppose r + 3*o + o = -40, -4*o + 12 = 0. Sort r, 2, d in ascending order.\nAnswer: r, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -779*m + 768*m = -11. What is the greatest common divisor of m and 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3 + 3*k - 2*k**2 - 3 + k**3 + 4. Let u be n(2). Suppose 2*b + 2*b - x + 11 = 0, 0 = 2*b - 4*x + 16. Sort -5, u, b in ascending order.\nAnswer: -5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 3*y + y + 4*y - 3438 + 3376. Give x(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 57. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(5\/3 - (-8 + 6)). Suppose 2*g - a = 1. Solve 3*l - g = 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10428 - 6307. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + (5 - 6)*4. Solve g*l - 6 + 26 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 5*q**2 + 7*q - 2. Let a(s) = 2*s**2 + 8*s - 2. What is the lowest common multiple of a(-6) and j(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/10*(-2)\/4. Let r = -47\/4 + 251\/20. Let a be (-6)\/21 + 2\/28*4. What is the closest to r in g, 2\/25, a?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67003?\nAnswer: 67003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540956.\nAnswer: 2, 13, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 4673 = -3*l + 7*n, -l = -3*n - 1536. Calculate the highest common divisor of l and 1269.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:16 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 0.206 in ascending order.\nAnswer: -3, 0.206, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 58622 - 2163\nAnswer: 56459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(5\/12))\/((-252)\/(-84))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 8*u**2 - 6*u - 9. Let m be x(7). Let p = m + 22. Suppose -2*w + p = 2*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132815 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1311750 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*p + 66*p + 9 = 5*s, -3*s = -5*p + 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pec when three letters picked without replacement from {c: 1, e: 1, i: 2, r: 1, w: 1, p: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 182*d - 183*d - 13 = 0, -3*d - 4 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 158*t**3 - 171486*t**2.\nAnswer: 2*t**2*(79*t - 85743)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2684843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -7 - (7 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 15. Let i be o(6). Suppose 0 = -10*g + i*g + 71. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15*i**2 - i - 7. Let z(f) = -17*f**2 - 7. Give 4*o(g) - 5*z(g).\nAnswer: 25*g**2 - 4*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(0 - 12\/(-27)). Suppose -122*d = -120*d. What is the second smallest value in c, -0.2, d, 0.04?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**3\/5 - 2444*p**2\/5 + 56672*p\/5 - 37568 = 0.\nAnswer: 4, 20, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -50. Suppose -3*d = 5*x + 29, -4*d + 2*d + x - 2 = 0. What is the third biggest value in -2\/3, p, -1\/4, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(135\/(-2)) - (-3402)\/(-810).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-3) - 2\/3. Let h(s) = -2*s. Let c(n) = 4*n + 4. Let o(m) = -2*c(m) + 10*h(m). Let x be o(a). What is x rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 26 - 9 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from khorh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.27, -4, 4.56, 0.4 in descending order.\nAnswer: 4.56, 0.4, -0.27, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4261383085.\nAnswer: 5, 852276617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a - 1051?\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(931)*-1*-1 + (sqrt(931) + 1)*5 + -3*(0 + sqrt(931)) + 3*sqrt(931)*2 + -5)**2.\nAnswer: -630*sqrt(19) + 75436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 12*c - 14. What is the remainder when l(6) is divided by (-759)\/(-51) - (16\/68)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -268976?\nAnswer: -268976.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 180 (c) 2\/5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -150*t + 33\/5*t**5 - 35 + 0*t**4 + 0*t**2 + 0*t**3. Differentiate q(y) wrt y.\nAnswer: 132*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -2*w - 20, -5*w + 10*w + 16 = 4*n. Calculate the lowest common multiple of (-8)\/2*-2 - 0 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6512 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15758 and -0.035.\nAnswer: 15757.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1085956524?\nAnswer: 2, 3, 10055153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.8 - 11. Sort 1\/3, k, 3 in decreasing order.\nAnswer: 3, 1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013873890758 to 6 dps.\nAnswer: -0.013874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.15\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 3*z + 3. Let a(x) = x**2 - x - 1. Let v(k) = 3*a(k) + y(k). Let l(j) be the first derivative of -4*j**3\/3 + 1214. Give l(v(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 23*f - 43. Determine b(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/sqrt(2)*-1)\/(sqrt(16)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 352 - 182. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865776 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - -383?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 1. Let w(h) = 14*h**2 - 16. Let n(q) = -16*u(q) + w(q). Let i(z) be the third derivative of 0 - 1\/6*z**4 + 0*z**3 - z**2 + 0*z. Give i(n(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45712 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2640639784.\nAnswer: 2, 17, 19416469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2331*r**5 + 286*r**2 - 6.\nAnswer: -139860*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from enaeaenaanna.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400971189 + 400971189 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cay when three letters picked without replacement from {j: 2, y: 11, a: 4, c: 2}.\nAnswer: 44\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -187998 + 169950241\/904. Find the common denominator of 133\/6 and q.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(4\/19)*p**(-2\/7)*(p\/(p*p\/p**3))\/p assuming p is positive.\nAnswer: p**(313\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (25\/(-2))\/5*53716\/(-65)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tosu when four letters picked without replacement from soout.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*i + 505 = -225*i + 348 - 707 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 80707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 96*w**2 + 8*w - 3. Is t(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 678548, 678550, 678552, 678554?\n\"Answer: 2*w + 678546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*l + 1 = 0, -4*o + 25 = -3*l + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1117 + 9)\/((-4)\/1) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from izcizizddceczcdddicd. Give prob of picking 1 z, 1 e, and 1 c.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-48) - 26\/(-6). Solve 0*s = 5*s + 3*k - 21, 0 = -l*s + 3*k + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6867 - 6867.2. Let u = -25 - -24.9. What is the nearest to h in -2\/3, 5, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(-1 + sqrt(243) + 4 - sqrt(243)) + (-1*sqrt(144) - sqrt(144) - sqrt(144))\/(sqrt(3) - sqrt(18)\/(sqrt(54) + sqrt(6)))*-3)**2.\nAnswer: -1632*sqrt(3) + 7201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/637 (b) 22 (c) 9319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(6\/9) - (-2 + 0). Suppose -2*i + 0 = -5*p - 2, 5*i - 75 = -k*p. Let a = i + 7. Solve 0 = 3*l + 6 - a, 3*t = 2*l - 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + 2*r)*(-6 + 5 + 2)*(-r**2 + 7*r**2 - 2*r**2).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2010389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**3 - 4451032*z**2 - 20*z - 10674 wrt z?\nAnswer: -12*z - 8902064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 145. Differentiate -4 - 10 - t - 135*p + 73*p with respect to p.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09555 and -36.1.\nAnswer: -3.449355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*w - 2, 5*x + 9 - 11 = -2*w. Suppose 2*s - k - 4 = x, -2*k + 1 = -s - 0. Factor 6*q - 2 - q**s - 2 + 0 - q**3.\nAnswer: -2*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**3 + h**2 - 25*h + 0*h - 3*h**3 - 3*h - 17*h as f*h**2 + s + k*h**3 + q*h and give q.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4 + 0)*2. Suppose 3*g = -5*a - 20, l*a = 4 - 16. Suppose -3*f + 0*f - 2*x + 11 = g, -7 = -3*f - x. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 488475 and 30?\nAnswer: 976950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48746357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33011 + -33007. Let v(g) be the third derivative of 21*g**2 - 2\/3*g**p + 0 + 0*g**3 - 1\/30*g**6 - 1\/3*g**5 + 0*g. Factor v(s).\nAnswer: -4*s*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 376311 + 4*j + 376311.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**3 + 3*f**2 + 2*f - 20. Let p(n) = -10*n**3 + 8*n**2 + 5*n - 40. Give -5*m(g) + 2*p(g).\nAnswer: 5*g**3 + g**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 753, 2995, 6709, 11883, 18505, 26563, 36045, 46939?\n\"Answer: -2*q**3 + 748*q**2 + 12*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-28)\/(-480) - 1\/8. Let t(u) be the second derivative of 0 + 5\/8*u**4 - 1\/2*u**3 + 3*u + p*u**6 - 3\/10*u**5 + 0*u**2. Factor t(q).\nAnswer: 3*q*(q - 2)*(q - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000409358417 to five dps.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693018 to the power of 1\/2, to the nearest integer?\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b + 245 = 0. Let u be (b\/(-28))\/(1\/4). What is the highest common factor of u and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2. Let z(t) = t**2 - 8*t + 7. Let o be z(7). Let k(c) = c - 3. Let m be k(6). Let a(p) = o*p + p + m*p - 2*p. What is a(f(x))?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 58949.\nAnswer: 58950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2800940 and 6722256?\nAnswer: 33611280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1080)*1 + sqrt(1080) + sqrt(1080))*-5)\/((sqrt(40)*-2)\/sqrt(4)*3*6).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 - 155 - 84 = 46*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -7, -23, -4, -5 in descending order.\nAnswer: 1, -3, -4, -5, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22934 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151.41 + -150. Let r = f - 1.40998496. What is r rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857311853?\nAnswer: 3, 619103951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4272?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75988776*d*l - 15564596*l wrt d.\nAnswer: -75988776*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -39*y - 3. Let s(c) = 40*c - 224. Let n(d) = 27*d - 160. Let x(g) = -7*n(g) + 5*s(g). Calculate x(h(r)).\nAnswer: -429*r - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 - 379*c - 567. Calculate q(-74).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -5 - (-2 - -5). Suppose s = -j*s + 21. Solve -3*i - 3*l = s, 0 = -4*i + l - 2*l - 22 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18706, 18709, 18714, 18721, 18730, 18741?\nAnswer: 18754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 4*o - 36. Let q be z(-12). Let p = -2 + 26. Calculate the greatest common divisor of q and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89729463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*p**3 - 1 - 6*p**3 - 2*p**3 + 7 wrt p?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*w + k - 3*k, -4*w + 78 = -5*k. Let s be (-16)\/(-8) - w\/(-1). Let a = s - -11. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.989149 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**2 + 512*l - 264*l - 248*l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/((r*r**(-2))\/r*r))\/r)**13)**(-2\/177) assuming r is positive.\nAnswer: r**(-52\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9 = 4*y - 84, y + 32 = 2*z. What is the highest common factor of z and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*c + 1 = 0, 4*i + 31 + 1 = 2*c for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31.4 - 0.6. Let w = 493650910.0000009 - 493650942. Let z = c - w. What is z rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwvz when four letters picked without replacement from vzrwvvzggzz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -5 - 1\/2*i**3 - 6*i - 1\/12*i**4 + 3\/2*i**2. What is t(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 294*s - 19141. Calculate p(96).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 629557, 1 in ascending order.\nAnswer: -25, 1, 629557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 33902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 524 - 524.597. Let u = 0.297 + o. Let m = 272\/1197 - 2\/399. Which is the third biggest value? (a) m (b) 0.01 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 101*n + 90. Let f be b(6). What is the greatest common divisor of 96 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14313 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 take away 100354?\nAnswer: -100403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 22692*z + 930603. Calculate c(-41).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**18*l**(2\/61)*l**(3\/8)*l**(-2)*l)**(1\/5) assuming l is positive.\nAnswer: l**(9471\/2440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpp when three letters picked without replacement from ppppcpc?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 2, p: 1}. What is prob of picking 1 t and 1 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -54?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8655, -7514, -6373, -5232?\nAnswer: -4091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -1639 + 344. Let b = -907 + t. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7e0 (base 16) to base 8.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 6*d - 5*d - 3 + 3 + (3 - 1 - 3)*(2 - 2 - 2*d) + 4*d + d - 4*d to i + k*d and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/5 + 33\/5. Let c = -15303 - -15306. Sort 7, 4, q, c.\nAnswer: q, c, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 0*l + 0*l)*(-2 + 2 - 2)*(-2 + 1 - 1).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (164\/48 + -3)*3.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 8564345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19206552 and -0.2.\nAnswer: -19206552.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 10840.69 to the nearest one hundred.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2907590.\nAnswer: 2, 5, 7, 73, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46979?\nAnswer: 109, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 11*k + 1. What are the prime factors of v(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 - 9*(-1219)\/477\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69*a**2*q**2 + 2*a**2 + 27*q wrt q?\nAnswer: 138*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.85 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.4245 - -4.42450035898. What is b rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201 and 256677.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 - 2375880.756?\nAnswer: -2375844.756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 1 - 3788*k**3 + 0*k + 3782*k**3 to a*k + j*k**2 + d*k**3 + c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496 = 49*c + 334 + 52 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79454 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 844\/4153 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = h + 24. Let t be (0 - (h - -2)) + -2. What is the third derivative of -k**3 + 4*k**2 + 2*k**3 - t*k**2 wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 3*q + 15. Suppose 0 = 2*o - 5*h + 14 + 4, -3*o = -q*h + 22. Let x be (8\/42)\/(o\/(-14)). What is the second smallest value in x, 4, -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 7:47 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 40097400.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1686587\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 - 126. What is the nearest to 0.1 in 3\/2, -1, x, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-513)\/(-570))\/((-2)\/(-20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -2. Suppose -r*f = -5*g + 620, 3*f + 1 - 16 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6105 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**2 - 5*q**2 + 4*q**2)*(-q + q + 2*q)*(0 + 0 - 1).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 8*m + 13. Let p be h(-9). Let z = -949.1 - -949. What is the closest to 0.2 in z, p, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2013300, -2013298, -2013296?\n\"Answer: 2*z - 2013302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 2 - -22) + 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 15*m + 10. Let s be q(-8). Suppose -10*t = -14*t + 24. Solve s*p = t*p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82695, -661539, -2232679, -5292261, -10336431?\nAnswer: -17861335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -493468094672.\nAnswer: -493468094671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5*u + 601 = 0, 4*w - 3*u = -0*w + 599. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -30. Suppose n*h + 365 = -40. What is the units digit of h\/(-54)*(0 + 166\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 13*h**2 + 11*h - 24. Let p be (-816)\/(-56) - (-4)\/(-7). What are the prime factors of a(p)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, n: 1, a: 10}. What is prob of sequence aia?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-16))\/(((-3)\/10)\/(28428\/(-515))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, -0.3, 4\/3, 1 in descending order.\nAnswer: 4\/3, 1, -0.3, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33925449 and 4?\nAnswer: 1.35701796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -1, 0.0903.\nAnswer: -1, 0.0903, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*5 - (10 + (-19 - -13)). Solve -29*l - r = -32*l, 5*s = 4*l - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + sqrt(468) + (0 + sqrt(468) + sqrt(468) - sqrt(468) - sqrt(468)) + 5 - (3 + sqrt(468)*2)) + 1*(0 + sqrt(468)) + (1 + sqrt(468))*-3)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 3, 2 in increasing order.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11219.1 + -11740. Let t = q + 495. Let r = -26 - t. What is the closest to r in -0.4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -50. Suppose 4*v - 14 = 26. Let x(n) = -n**2 + 9*n + 12. Let i be x(v). Solve i*y = -d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12763364 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -4. Let j be 3 + -10*(r + -3). Let h(t) = t**3 + 8*t**2 + 5*t. List the prime factors of h(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 12*x**2 - 15*x + 12. Let r(a) = -a**2 - 7*a + 5. Let h be r(-9). Is g(h) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 3, 7, -35, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - t + 5. Let j be n(-3). What are the prime factors of (19\/(-3))\/(j\/3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c - 77. What are the prime factors of f(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*x + 277850 - 277824, -2 = d + 5*x for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*z - 67*z - 85. Let c(k) = k + 11 + 2*k + 10*k - 3 - 4*k. Let u(b) = -10*b - 9. Calculate z*u(w) - 6*c(w).\nAnswer: -4*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xex when three letters picked without replacement from xxxspexep.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058878 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19584 and 6513516.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/15*((-15)\/(-12))\/5. Is 1\/4 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114723090 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 43*d + 1 + 2\/3*d**3 + 4*d**2 - 1\/12*d**4. Give s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 136*k + 348*k + 297*k to t*k + x and give t.\nAnswer: 781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32645 and 486.\nAnswer: 33131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06 + -0.16. Let p = o - -0.2217. What is p rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 30. Let p = 2\/81 - 338\/567. Are r and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-28)*1*1218\/(-87).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -4*h - 32. 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 -6 times -480800?\nAnswer: 2884800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.397649 millilitres to litres.\nAnswer: 0.000397649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007666647683 to 7 decimal places.\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2. Let j(g) = 6*g - 2*g - 3*g + 4*g. Calculate o(j(z)).\nAnswer: -125*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m + 16. Let z(f) = -4*f**3 - 1539*f**2 - 10*f - 80. Determine -5*q(g) - z(g).\nAnswer: 4*g**3 + 1539*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 - x - 3. Let f(h) be the third derivative of -11*h**5\/60 + h**4\/12 + 5*h**3\/6 - 1411*h**2. Let v = -12 + 20. Calculate v*c(j) + 5*f(j).\nAnswer: j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 76*b**2 - 176*b - 372. List the prime factors of x(72).\nAnswer: 2, 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x + x + (-3 + 2 - 1)*(2*x + 0*x + 0*x) - x - 2*x + x)*(-13 + 1 - 10*x + 8*x).\nAnswer: 8*x**2 + 48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 197*q**2 + 6042*q - 5. Let l be z(38). Suppose -2*k - k = m - 47, -2*k = -4*m - 50. Sort k, 2, l in decreasing order.\nAnswer: k, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12 - (-19)\/28\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10918*d*p*y + 19540*d*p - 2*d*y + 2*d - 114*p*y - 2*y + 679 wrt y.\nAnswer: 10918*d*p - 2*d - 114*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -2*t. Suppose 2*a + 0 = t. Solve -s - a*s = 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7138 is divided by 2369.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*p - 18 = 0, 6*u - 4*u + 3*p - 54 = 0. Suppose u*j = 25*j - 50. What is the highest common factor of j and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + w + 4, -5 = 3*w + 7. Let z = 3\/17 - 32\/85. Let y = -36 - -52. Sort m, z, y.\nAnswer: z, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -5. Let k be 2*-1*(t - 6). Let l be 0 + (2 - (0 - k)). Which is the closest to -1? (a) 1 (b) -4\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 68*v**3 - 5*v**2 + 8*v - 7. Let a be b(3). What is the greatest common divisor of a and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**5 - 132*c**4 - 1806*c**3 - 9588*c**2 - 19791*c - 11880 = 0.\nAnswer: -24, -11, -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*y - 14728 = 9006 - 8129 + 8407 for y.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Suppose 0 = p*m + 2*m. Sort 2, m, -3.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*k, 0*w - 44 - 9 = -w - 0*k + 2*k + 72 - 14 for w.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/14331 and 52\/52547?\nAnswer: 157641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:36 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -1.96. Let k = -678.62 + 678.5. What is the third smallest value in t, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 - -114. Is y\/(-6)*(0 + 42\/4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 24*d**2 + 21*d - 146. What is y(23)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzffzkzzzzzftfkzfzzo. Give prob of picking 1 k, 1 z, and 2 f.\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/6 - w**4\/24 + 9*w**2. What is t(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10117281 equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 69*i - 72*i. Let k be -4 + i\/(-15) - -4. What is the third smallest value in k, -2, -4\/7, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from embgmmbbmegm. What is prob of sequence bmgg?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 733097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(14\/16))\/((-1830)\/(-2135)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (0 - 0))*(7 + -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5371975*v**2 - 378*v + 5305 wrt v?\nAnswer: 10743950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaayxt. Give prob of picking 1 a, 1 x, and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (178 + 93 + 2315)*(0*n - 2 - 5*n + 0) to the form w + r*n and give r.\nAnswer: -12930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-7*g**3 - 4*g**2 + 4*g**2).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 39*c**2 + 18*c - 14. Let o be p(-13). Let t = o + -4278. Suppose -4*g + t = g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*n + 726*n - 23435 = 0 for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*k**2 + 619*k**2 - 289*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*q - 60*q = 3*o + 76*q + 16, -2*o - 20 = -4*q for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 13*m - 6. Suppose -3*t + 324 = 6*t. Let d(g) = -t + 70 - 35. Let q(u) = c(u) + 5*d(u). Differentiate q(a) wrt a.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**2 - 12*l**4 - 27*l**4 - 33*l**4 - 12*l**2 wrt l.\nAnswer: -1728*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2235425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1137\/(0 + -1)*5\/3. Let v = -7195 - g. What is v rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -18. Solve -2*q + 6*q - 4 = i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*c*d**2 + 2*c*d - 118*c - d**2 - 508*d wrt c.\nAnswer: -13*d**2 + 2*d - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128256893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.155496*32\nAnswer: -4.975872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -2b0?\nAnswer: -2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(720) - sqrt(720))**2 - sqrt(720)) + -2 + sqrt(80) + ((sqrt(405) + 0 + sqrt(405) - sqrt(5)) + sqrt(5) + 0 + -5)**2.\nAnswer: -188*sqrt(5) + 8123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -0.07 (c) 591 (d) -2 (e) -142\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/6 and (-2*1068\/16)\/(-9) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3504 and 4929252?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11061119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 10:32 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 84 = 5*h. Let f = 251\/9 - h. Let q be (-2)\/1*2\/(-12). Which is the second smallest value? (a) f (b) 2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29913526.\nAnswer: 2, 47, 318229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Calculate the common denominator of -10\/11 and 228\/8 + (f - -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 19*x**2 + 9*x + 18. Let l be n(-9). Suppose -10*h + l*h = -40. Put 1, 2, h, -14 in descending order.\nAnswer: 2, 1, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*i - 192. Let f = i + -97\/3. Put f, 0, -1\/9 in increasing order.\nAnswer: f, -1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, f: 2, s: 11}. What is prob of picking 2 f and 2 s?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 34 = -8. Let j(l) = -l**2 - 8*l - 6. Let g be j(q). What is the tens digit of 1*(32 + (-1 - g))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10480.7995 + -10476.0995031. Let g = 4.7 - h. What is g rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + b**3 + b + 142*b**3 - 16*b**3 + b to t + f*b**3 + v*b + c*b**2 and give f.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2237 - 0.4237. Which is the nearest to 11\/3? (a) t (b) -4 (c) 3\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 154610371 + 3?\nAnswer: 154610374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1758, -2\/17, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -68*y**2 + 5*y - 26. Let u(g) = -3*g**2 - g + 1. Let i(s) = n(s) + 6*u(s). What is the second derivative of i(o) wrt o?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-24)*((-1014)\/(-247))\/(-26)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 4*f**2 - f + 2*f**2 - 1 - 3*f**2 - f. Let t = -2920 + 2928. What is the least common multiple of h(-3) and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -17 + 23 - (2 + -4). Suppose 0 = i - 3*s - 127, 0 = -12*s + c*s. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -110.43. Let f = o - -0.43. Which is the second smallest value? (a) -3 (b) f (c) 1\/3 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -29. Let d be (-110)\/o - (-4)\/(-10). Calculate the greatest common divisor of d and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 334 and 930777956.\nAnswer: 930778290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8109170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272678616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 12. Suppose 5*y + 54 - 4 = q. What is the closest to 1 in y, -0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 214 = -805 - 69 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 273*w - 173*w - 32 - 140*w. Does 33 divide y(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323259519?\nAnswer: 3, 11, 83, 107, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 19*c**2 + 62*c + 9. List the prime factors of l(18).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 982764 to the power of 1\/2, to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/5)*i*i\/(((i\/(i\/(((i**(-4\/7)\/i)\/i*i)\/i*i)))\/i)\/i))\/(i**(1\/5)*i**(-3)*i*i) assuming i is positive.\nAnswer: i**(279\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 19, -4, 17778 in descending order.\nAnswer: 17778, 19, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-5 + sqrt(19))*4 - sqrt(228)\/sqrt(588)))**2.\nAnswer: -1242*sqrt(19)\/7 + 39772\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.353459441 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 0*t**2 - 3*t**2)*(2*t**3 - t**3 + 0*t**3) + (4 - 4 + 7*t**4)*(-5*t - t + t) + (-t**2 + 0*t + 0*t)*(-37*t**2 + 37*t**2 + 2*t**3).\nAnswer: -36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3732 divided by 933?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2080955 + -4?\nAnswer: -2080959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - h + 1. Let q(f) = 184*f**2 + 104*f - 104. Let d(r) = -q(r) - 104*w(r). Let l(o) = 2*o + 2. What is d(l(u))?\nAnswer: 96*u**2 + 192*u + 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - f**2 + 193*f**4 - 2*f - 4*f**3 - 189*f**4 + 2*f + 1 to the form i*f**4 + r*f + h*f**2 + s + y*f**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 756\/(-15) - 9\/15. Let s = n - -79. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + -10010111011001100100111?\nAnswer: -10010111011001100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(2541) + (sqrt(2541) - sqrt(2541)*2))*-1 + sqrt(2541)))\/(sqrt(3)*-2*-6 - (sqrt(30)\/(sqrt(30)\/sqrt(3)) - sqrt(3))).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01169 and 753.\nAnswer: 8.80257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.665 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 288*v**2 - 2*v**3 + 130*v**2 - 6*v**2 - 20464*v - 754*v = 0.\nAnswer: 0, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/23400 and 83\/30870?\nAnswer: 8026200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/9 - 18458*o**3\/9 - 191440*o**2\/3 + 1852136*o\/9 - 1259360\/9 = 0.\nAnswer: -34, 1, 2, 9260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -40. Let v(s) = -345 + 345 - 3*s**h. Let q(b) be the third derivative of b**5\/60 - b**2. Calculate v(q(y)).\nAnswer: -3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439690 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 430 and 31690?\nAnswer: 1362670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 12. Let x be (7 + 0)\/((-3)\/6). Let r = t - x. Calculate the smallest common multiple of 3 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 1 + 1 + (-2 - 2 + 3)*(-1 + i + 1)*(3 - 4 - 1))*(2 - 3 - 1).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 6:18 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + -0.1. Let k = -20003\/582 - -7\/194. Let l = k + 35. What is the smallest value in l, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 3. Let i be m(-5). Let a(d) = 6*d + 66. Let z be a(-6). Let s be ((-9)\/z*8)\/(1\/(-5)). Solve -12 = -4*p + 5*u, 0 = i*p - 5*u - 4 - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 14*f + 16. Let d be m(15). Let v = d - -16. Calculate the remainder when v is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/8, 0, 21, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 18*m**2 + 17*m + 47. Determine b(17).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6798, 9197, 13190, 18771, 25934?\nAnswer: 34673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + 0.38. Let q(m) = -m + 13. Let y be q(14). Put -0.1, y, r in descending order.\nAnswer: r, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 0*p**2 + 3*p + 0 + 5\/56*p**7 - 1\/3*p**4 + 2\/15*p**6 - 1\/6*p**3 - 11\/80*p**5. Solve i(o) = 0.\nAnswer: -1, -2\/3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a + cb88?\nAnswer: cbf2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 1295. Let u(o) = -2*o - 32. What is u(l(n))?\nAnswer: -4*n + 2558","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2091*u - 840*u + 12510 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23813221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/165764360 and -1\/30535540.\nAnswer: 1160350520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (2 - -14*1) + (-6 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.4 (c) -1\/4 (d) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38689 - -38689.0064068. Round b to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -73, -1 in descending order.\nAnswer: 5, 0, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/9 + 5072*h**2 - 15230*h\/3 - 913000\/9 = 0.\nAnswer: -22825, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3284251776 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 + 3b?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.9 - -4.9. Let r = -745 + 744.8. Which is the nearest to r? (a) 0.5 (b) x (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 495 by -99.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/3 - 59*r\/3 = 0.\nAnswer: -59, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 851\/37664 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9107 + 9558. Sort a, 2, -1, 5 in increasing order.\nAnswer: -1, 2, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 812311 to the power of 1\/2, to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*h**2*x - 2*h**2 + 5*h*x + 5*h - 1 wrt h?\nAnswer: -38*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:18 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -76\/31 (b) -2\/17 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12833353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 5, 6, -1, -4, -5 in ascending order.\nAnswer: -84, -5, -4, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 976 + -32182\/33. Let t be (-1)\/((-1356)\/12022 - 0). Let b = 34\/113 + t. Calculate the common denominator of x and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -41 (c) -31 (d) 0.3 (e) 5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiww when four letters picked without replacement from {f: 4, j: 2, s: 1, i: 1, x: 2, w: 2}.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -178470111\/750610 - -22\/225183. Let o = v + 238. Do o and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + x - x + 3 + (0*x - x - 2*x)*(-2*x + 4*x - 3*x)*(1 - 1 + x**2) as c*x**2 + a + y*x**3 + n*x**4 + k*x and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -649*-23.67\nAnswer: 15361.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 14*k**3)*(4 - 2 - 3)*(k + 2 - 2) - 12*k**4 + k**2 - k**2.\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5088.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483933497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-9)*((-11)\/((-66)\/(-54)))\/(-3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0.7, 2, -3, 1896, 3.\nAnswer: -3, -1, 0.7, 2, 3, 5, 1896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let k(f) = -616*f. Determine k(q(x)).\nAnswer: -616*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40957050 and 450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*v = -5*o - 270*v + 65, o + 83 = 5*v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -79*r - 9395. What is v(-119)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-249)\/(-15) + (-15)\/25. Let v(x) = 10*x - 161. Give v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.19 + -8.81. Let u = 13 + a. Let y = u - 4.00132. Round y to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6671 - 6263. What is the nearest to b in 0.4, -2\/27, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 5*l**2 - 3*l + 5. Let q be o(-4). Let v be (-1 + 1)\/2 - q. Let h be 5 - 5 - 5\/v. Solve 5*x - z - 18 = 0, 3*x + 0*z = h*z + 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*m - 10, m - 4*m + 36 = 4*h. Suppose -40 = -4*i - i. Let v = 13 - i. Is h greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-60))\/((-14)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1115, 1196, 1299, 1436, 1619, 1860, 2171, 2564?\n\"Answer: 2*o**3 - o**2 + 70*o + 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -17, -51, -99?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 99\/27 - 10\/15. Suppose -3*y = 0, 0*y = -4*g - 4*y + 60. Let q = g - 12. Solve -2*w + 11 = -5*t - 4*w, -q*t + b*w = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 + 197*o - 393.\nAnswer: -(o - 786)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -49.6. Let d = 119102.5959 + -119110. Let v = h - d. Round v to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 8*j - 10. Let g be i(-10). What is the second derivative of g*n + 199 - 199 + 13*n**5 wrt n?\nAnswer: 260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-16)\/u)\/u**(-14) assuming u is positive.\nAnswer: u**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 1. Let u(b) = 4*b + 5. Let m(q) = 6*p(q) - u(q). Let n(s) = 11*s + 6. What is -34*m(y) + 6*n(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*s + 114208, 28564 = -79*m + 80*m - s. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/2 of a millennium?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 506*l + 492*l - 4*l**2. Let w be c(-7). Suppose 0 = j - w*j - 493. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 257343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 at most 209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.223 and -0.1?\nAnswer: 0.4223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - l = r, 0 = 2*l + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 9*t**2 - 144*t**3 + 145*t**3 + 1 + 0*t**2 - 2*t. Let a = -15 - -6. List the prime factors of q(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**2 - 1\/6*g**4 + 0 + 2\/3*g**3 - 8*g. Let x(o) = 4*o**2 - 9*o - 5. Give 9*s(b) + 4*x(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*a - 632*a - 926*a + 138*a.\nAnswer: -1778*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(80) - -5*sqrt(80)*2)**2 + (sqrt(80) + (2 + sqrt(80) + -5 - sqrt(80)))**2 + 3 + 1).\nAnswer: -39092 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 763935846 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*t - 146 - 122 = 0. Put 135, -2, t in ascending order.\nAnswer: t, -2, 135","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*x**3 - 112*x**3 - 115*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*z - 58, 3*o + 4*z - 77 = 60. Suppose 0 = -f - 2*d - o, -3 + 1 = 2*d. Is (1 - 2)*2 - f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 13 - 2*q**3 + q**3 + 2*q + 32 - 10 - 12. What is y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 23*b - 17. Let i be n(-1). Let s be (3\/4)\/((-2)\/760). What are the prime factors of (32\/i)\/(2\/s)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, z: 6, u: 1}. What is prob of picking 3 c?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0*s + 0*s + s**3 - s. Let p = 201 + -202. Let i(l) = -4*l**3 + 5*l. Give p*i(v) - 5*z(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3237 is divided by 229.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2228 = -4*j, 533 = -0*j + j + 5*f. Suppose j = 2*z - 3*h, 21 = 3*h + 6. Find the common denominator of -99\/2 and (z\/12 + 0)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Let k = 5022 - 5018. What is the closest to o in 0.05, 2\/9, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.2 (b) 2\/7 (c) -3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*f + 2. Factor 7*u**5 + 3*u - u + 5*u**4 + 109*u**3 - 118*u**3 - 5*u**f.\nAnswer: u*(u - 1)*(u + 1)**2*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 28\/10 - -2. Let f = 0 + 0.4. Put f, -1, t in ascending order.\nAnswer: -1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253715 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/1611024 and -65\/1946654.\nAnswer: 46719696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -67, -131, -195, -259?\n\"Answer: -64*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 6*m**2 + 4*m. Let t be y(-5). Suppose -4*g + 5*l + 30 = -t, -8 = -4*g - 4*l. Solve 0 = -o + g*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (39\/2)\/(0 + 3\/8) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 9.\nAnswer: 188\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 22\nAnswer: -7\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 18. Suppose -z - 2*z + n = 0. Solve 0 = 4*w - 3*w + z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*q + 21, -3*q + q + 19 = -3*s. Let b be (3 - (-2123)\/(-704))\/((-4)\/q). Suppose -2*r + 4*r = 0. Do r and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353 divided by -4\nAnswer: 353\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + m - 2. Let r be d(0). Suppose -1 = u + 4*l - 21, -10 = -5*u - 2*l. Let h(s) = 0 - 2 + u*s + 2*s - s**2 - 4*s. Give h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49271512?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -543 - 862*n**4 + 504*n**4 + 1486 wrt n.\nAnswer: -1432*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1827?\nAnswer: -1827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32775406.\nAnswer: 2, 16387703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6885117*y**5 + 1288*y + 4 wrt y?\nAnswer: 137702340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 28 - -9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/8 - c**3 - 16*c**2 - 1. Suppose 4 = -4*v - 12. Calculate i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/8 - 4165112*z + 34696315945088.\nAnswer: (z - 16660448)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 4 - 3*s**3 - 10.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13229 - -13224. What is the closest to j in -2\/3, 1\/4, -124?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29786 - 27350. Calculate the greatest common factor of 105 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/17)\/(y**(2\/5)*y))\/(y**(1\/8)\/y**(-4)) assuming y is positive.\nAnswer: y**(-3837\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -18037.2772 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 12. Let b(a) = a**3 + 11*a**2 - a - 1. What is the units digit of b(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1360841 (base 9) to base 10\nAnswer: 748639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86688 and 173376.\nAnswer: 173376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 11*u**2 - 19*u - 5. Let j(s) = -s**3 - 6*s**2 + 9*s + 2. Let z(y) = -5*j(y) - 2*v(y). Let c be z(1). Let a(f) = -8*f - 4. Give a(c).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 2*l**2 + 2*l + 5*l**2.\nAnswer: -2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*n*o**4*u + 2*n*o - 27*n*u - o**5*u - o**4 + 5*o**2 wrt o.\nAnswer: 552*n*o*u - 60*o**2*u - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-54))\/(((-2)\/8)\/1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -318 + 320. Let p(r) be the third derivative of 4*r**5\/15 - r**4\/6 + r**3\/2 - r**2. Is p(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/69028 and -43\/19427.\nAnswer: 1341006956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3)*-5*(-36)\/30. Suppose z*p - 3 = 4*h - 27, p = -2*h + 3. Solve 2*o = -h*y - 7, -o + 5*y = -4*o - 12 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from eleleeeleeell?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-9)*(-2 - -5). Suppose 0 = m - w. Suppose 2*c + 0 = 4. What is the remainder when m is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5379921 + 0.4.\nAnswer: -5379920.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417402.\nAnswer: 2, 7, 137, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010000000110000 (base 2) in base 3?\nAnswer: 101101222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4157*p + 185 = 4152*p - 30*k, -5*p - 3*k = 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-9)\/(-108)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -4, -227, 108 in decreasing order.\nAnswer: 108, -4, -25, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 48 + 12. Let h = -7 - r. Let t(p) = 0*p + p - 4 - 5. Give t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100606 is divided by 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - l - 17 = 12, 13 = x - l. Suppose -x = 4*h - 8*h. Solve h*i - 7 = -5*a - 0, 3*a - 19 = 5*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 14. Let h be t(12). Solve 2*v + 10 = 2*a, 2*a = -h*v + 3*v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/2? (a) 0.1 (b) -1\/6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let d(n) = 22 + n**2 + n - 2*n + 0*n**2. Let u be d(0). Let c(i) = -u*i + 19*i - 46*i. Give c(p(r)).\nAnswer: -98*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (2 - (0 + (5 - 1)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a**3 + 6*a**2 - 48*a - 176. What is x(-5)?\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1300241 divided by -193.\nAnswer: 6737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -29850902\/93 and -320977 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 19932 = 327*g + 124*g for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 + 9*b**3 + 4*b**3 - 150*b + 150*b.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -2 + 1 + sqrt(117) + -2*sqrt(117)*-4 + sqrt(117))*-1)**2 + -4.\nAnswer: -66*sqrt(13) + 14154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-35)*33000\/4400\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52717598 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -1\/7, -3, -2\/131 in decreasing order.\nAnswer: 2, -2\/131, -1\/7, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156390 is divided by 10609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7619 is divided by 1285?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:50 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 + 0.023.\nAnswer: -114.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 20 = -4*c, 4*c - 25 = -c. Solve j*z = z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 16245079?\nAnswer: 178695869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjyxvyjjyybyjnb. Give prob of sequence bvn.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -346.9? (a) -0.2 (b) 2\/27 (c) 3 (d) -2 (e) -8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 20 = k, 2*g + 4913 - 4909 = -5*k for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 15*g**2 + 12*g - 28. Let r be y(-14). Solve r + 20 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 53*(-2 + 4\/4). Let o = b + 82. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*n - 14, 2*o - o + 4 = -2*n. Put -3\/8, -0.5, o in decreasing order.\nAnswer: -3\/8, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/3 + (-22)\/(-66).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424.9502901 rounded to 2 dps?\nAnswer: -424.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 11*k**2 + 8*k - 8. Let n be b(-10). Let i = -7 + n. Solve -a - 14 = i*r, 5*a = -2*r - 0*r - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, c: 1, y: 5, g: 2, j: 1, m: 2}. Give prob of picking 2 f and 2 y.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:32 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -9. Suppose i - 4*i = 48. Are i and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-244))\/(-9))\/(((-301)\/(-430))\/(28\/10)).\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 2*s**2 + s**2)*(-3*s**2 - 3*s**2 + 5*s**2 + (-3*s + 7*s - 2*s)*(-4*s + 6*s - s) + (843 - 711 - 9*s + 16*s)*(-4 + 4 + 2*s)).\nAnswer: -30*s**4 - 528*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -62 - -581184?\nAnswer: 581122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 3*j + 131. Calculate w(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -1\/2*x**2 - 3 + 2*x. Differentiate r(y) with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11.2657, -25.4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3 = 7. Let u be 1\/(-1) + j - -4. Suppose 2 + 2 = -u*y. Let q(d) = -8*d**2. Determine q(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43409, -86861, -130331, -173825, -217349, -260909?\n\"Answer: -r**3 - 3*r**2 - 43436*r + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s + 18. Let c(z) = -7*z - 18*z - 13*z + 39*z. Determine o(c(g)).\nAnswer: -2*g + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 9988*v - 9991*v + 5*q, -3*v - 31 = -2*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 1)*(-6)\/(-18). Let z(x) = x**3 + 56*x**2 + 160*x + 55. Let a be z(-53). Solve w*v + a = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33722541 - 26*r**3 - 30*r**3 - 16861271 - 16861270 - 2*r**3.\nAnswer: -58*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 832?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + 15\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Let h(k) = -2 + 8 - m*k - 9. What is the units digit of h(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.05 (c) 23241\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -48. Let b be 6\/n*10\/(-1). What is the second smallest value in 0.5, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31239 and -31533737601?\nAnswer: 31533768840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -169. Let u be 50\/63 - 16\/f. Solve 1\/7*y**2 - 5\/7 + u*y = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 16*q**2 - 7*q + 41. Let b be a(-17). Let y = -81 - b. Let o be -32*((-3)\/2 + 1). Calculate the highest common factor of y and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079098.\nAnswer: 2, 709, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37.4 + 3.6. Let w = 154 - 190. Let t = w + s. Sort -0.3, t, -2\/7 in increasing order.\nAnswer: -0.3, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-117)\/((-13338)\/(-2204)))\/((-2)\/12)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -286648*g**2 + 392349 wrt g.\nAnswer: -573296*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7*84\/(-108)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(s**3 - s**3 + s**3) - 98859*s**3 + 39 + 55582*s**3 + 40 - 79 - 70119*s**3.\nAnswer: -113398*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 110763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**2 + 623850*q = 0.\nAnswer: -124770, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.4? (a) 139 (b) -10 (c) -391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/19161 and -37\/97803.\nAnswer: 208222587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {u: 7, n: 1, d: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**3 - g**2 + 8*g - 16. Let s(u) = -7*u**3 - 9*u + 15. Let w(o) = -6*n(o) - 5*s(o). Let f be w(6). Solve -3 = -f*d + 12 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3*m + 12. Let a be p(-6). Calculate the highest common factor of a and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 - 1. Give r(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + (-15 - ((-34 - 4) + -10))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 488154?\nAnswer: 1\/162718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -61a8?\nAnswer: -61a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1204250838 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 1\/9*q**3 - 1\/18*q**4 - 3*q + 0*q**2 + 0. Factor m(i).\nAnswer: -2*i*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*m - 6. Suppose -i + m = -1. Solve 2*h**2 - 4*h + h + 4*h**3 - 10*h**i - h + 8 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*w**3 - 2*w + 3*w**4 - 24*w**3 + 6*w + 0*w**3 - w**4 + 0*w**3 + (-5*w - 14*w + 0*w)*(w**3 + w**3 + 0*w**3).\nAnswer: -36*w**4 - 2*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 + -149)\/(((-18)\/(-4))\/(-3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 181, 189, 201, 217, 237?\n\"Answer: 2*g**2 + 2*g + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 104 = -89*z - 100. Let q be 21\/(-60) + 2\/(-8). Sort z, 2\/11, q, -2\/3 in descending order.\nAnswer: 2\/11, q, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/9)\/(3*1\/9). Which is the closest to 11? (a) -2\/15 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 3:10 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326468 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, k: 1, c: 1, o: 9, v: 4, g: 1}. Give prob of picking 1 g, 1 o, 1 c, and 1 u.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 5. Let i be u(6). Let g = 15603 - 15603. Which is the second smallest value? (a) i (b) 7 (c) g (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/5 or -9?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45bb (base 15) to base 13.\nAnswer: -6977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.04, -2\/5, 0.02864?\nAnswer: 0.02864","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:38 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 11455595*a**2 - 6561584390075*a - 59053331611125.\nAnswer: -5*(a + 9)*(a + 1145555)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + -11012021221202010?\nAnswer: -11012021221202220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697619169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67733*q**2 + 41233*q?\nAnswer: 135466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in hours?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/21 - 152\/(-6). Let s = -20 + v. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14364, 58183, 131462, 234201, 366400?\nAnswer: 528059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.965, 1.3, 0.1 in ascending order.\nAnswer: -0.965, 0.1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10 = -5. Let w be -2 + -1 + p + 3. Suppose -2*s + 4785 - 421 = -2*l, w*l + 4*s + 6532 = 0. Round l to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1374025665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177646*y**3 + 532914*y**3 - 177643*y**3 - 177639*y**3.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*sqrt(216)\/sqrt(4))\/(5*(sqrt(98) + 2*sqrt(98))).\nAnswer: -36*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**2 + 10*f**4 - 11*f**2 + f + 172 - 140 wrt f?\nAnswer: 120*f**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by 10?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -176739 at least -176715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 2*j)*(-33 + 204 + 484 - 17).\nAnswer: 1276*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -109*z**5\/5 + 1123*z**4\/6 + 622*z - 1. Find the third derivative of t(d) wrt d.\nAnswer: -2616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (-8 - (10 + -19 + 19)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.2893 + 0.2893. Which is the third smallest value? (a) 4 (b) q (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229873067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3663539 is divided by 203.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.927119 take away -16?\nAnswer: 16.927119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*s + 244, 4*s - 4*a = -s + 610. What are the prime factors of s?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 - 3*p**3 + p**3 + (4*p**2 - 5*p**2 + 4*p**2)*(0*p + 0*p - 2*p).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 20 = -4*o, -19 + 4 = -3*o + 5*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 + 4*z. Let a be p(3). Let m be 3*(-3)\/a*2. Solve 0 = m*s + 5*h - 17, 2*s + 4*h = 11 + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 12*r**2 - 8*r - 27. Let v be u(11). Suppose -84*c = -82*c - v. Solve -4*b + 7*b - c = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63499 and -4.\nAnswer: -253996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22130861569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + 10*r**2 + 2*r**3 + 60*r**3.\nAnswer: 62*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 248*t + 71535. Give o(137).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - 14)*(-220722)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*y - 74057, -4*f = 261*y - 257*y - 148112. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 80288838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w**2 + 13*w + 30. Is 8 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*c - c, -2*j = 3*c - 55. Suppose -6*f - j = -10*f. Calculate the highest common factor of f and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.641 + 1.641. Is 2\/955 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 4. Let a be d(-5). Suppose 7*i + j = 3*i + 1, -5*i + 2*j + 11 = 0. Let u = i - a. Solve -u*f + 3*f + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -6*h + 442. Suppose h = -13*q + 91. Suppose 2*s = -3*g + 5264, -4*s - 1686 = q*g - 10460. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10732572*q**2 + 6574264*q wrt q.\nAnswer: 21465144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-9)*(0 + -3). Let k = o + 15. Suppose -2*h - 3*s + s + 32 = 0, 0 = k*h + 2*s - 71. Calculate the greatest common divisor of 91 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1305664 and 32.\nAnswer: 1305664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1368.380386 + 5930.7.\nAnswer: 4562.319614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*f - 840 = 383 + 730 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1659*s**3 + 11*s**2 - 17. Let y(t) = -332*t**3 + 2*t**2 - 3. Calculate -2*f(j) + 11*y(j).\nAnswer: -334*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -30. Let p = l - 0. Let s = 19 - p. Calculate the smallest common multiple of s and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/27 - 196\/(-9). Suppose 2*b - h = 2*j, 3*b = -0*j - j + 49. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 94224 (c) -1269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4930, 4937, 4954, 4987, 5042?\nAnswer: 5125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-500)\/1080*-27 - (-11)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**48\/((b**(-2\/9)*b*b)\/b)**(9\/8) assuming b is positive.\nAnswer: b**(761\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136*r**5 - 187*r wrt r?\nAnswer: 2720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14442 divided by -2767.\nAnswer: -14442\/2767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452866 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3123\/13 or 241?\nAnswer: 3123\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5288, 10580, 15886, 21218, 26588, 32008?\n\"Answer: 2*g**3 - 5*g**2 + 5293*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1792 + 350 = -7*m. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 462*q + 568*q - 922*q to the form x + w*q and give w.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4471292 divided by 4876.\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37816584463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 5 (c) 9 (d) -56\/3 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3 - 338477*p + 2874627?\nAnswer: -3*p**2 - 338477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = d, 51*y - 47*y + 2*d = 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*u = 4*u. Let p be (-4)\/(-12)*u*-1. Solve p = 2*b - 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, and 1 r when three letters picked without replacement from {p: 1, r: 1, a: 1, h: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 49*r**6\/120 + r**5\/60 + r**4\/12 + r**2 - 4. Find the third derivative of v(n) wrt n.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*6\/24*(-212)\/(-1431)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8, 70, 162, 278, 412, 558, 710?\n\"Answer: -d**3 + 21*d**2 + 6*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/36 and 38\/1041?\nAnswer: 12492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13911999 - -774.88718001. Let n = c + -775. Round n to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25387406.1ms to weeks.\nAnswer: 0.04197653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -32*o - 181. Give t(0).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11.315467 times 9.5\nAnswer: -107.4969365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6343194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 + -5 + 2\/2. Let d = -7 + z. Suppose -d*l + 45 = -4*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3\/s*s**(-2\/7))**9 assuming s is positive.\nAnswer: s**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 9, w: 9}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**2 - 5*o**2 + 0*o**2 - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1498*u**3 + 4707*u**2 wrt u.\nAnswer: 8988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/303581 or -1?\nAnswer: -2\/303581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 - 5*a + 1. Let u(l) = 12*l**2 - 9*l + 2. Let p(s) = -7*n(s) + 4*u(s). Let d(x) = -3*x**2 - 3*x. What is d(m) - 2*p(m)?\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1288866723.\nAnswer: 3, 429622241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 + 0.34. Let c = 9.03 + -12.03. What is the smallest value in c, -2\/17, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*a - a - 86, 5*a - 3*x = 146. Suppose 30*w - a*w = 814. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70541, 141214, 211877, 282524, 353149, 423746, 494309?\nAnswer: 564832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 5*z + 22. Let p(o) = o**3 - 4*o + 21. Let m(l) = -5*p(l) + 4*w(l). What is the first derivative of m(c) wrt c?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3046\/27 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let m be v(-2). Find the first derivative of 3 + 1 - 1 + 2*l**m wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = -14*o + 2*w, -4*o + 544458 = 5*w + 544504 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/87 - -4\/29. What is the closest to -0.1 in 5, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-3))\/(-3 - (-330760)\/110255) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 1 + 11. Suppose 0*l = 5*l. Suppose -3 = -l*c - m*c. Is 2\/5 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121368*i**4 - 2*i + 2*i + 123006*i**4)*(2 - 3 - 2).\nAnswer: -4914*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -55, -15, -65, -72, -4 in increasing order.\nAnswer: -72, -65, -55, -15, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4029 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/228067 or 0?\nAnswer: 2\/228067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 9*b**3\/2 - b. Let i(t) = 31*t + 10. Let a(j) = -25*j - 8. Let d(r) = -5*a(r) - 4*i(r). Give c(d(o)).\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7215 nanograms to grams.\nAnswer: 0.0000000017215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 50*x + 577. Let r be c(-32). Let g(a) = -8*a - 5. Give g(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 2:50 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72289 + 5*n - 3*n - 72499 - 2*n**2 wrt n?\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89580258 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -93*c + 400. Let v = -10 + 20. Calculate the remainder when l(4) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)\/((-2)\/(-12)). Suppose 2*j + 42 = 5*r, -3*j - r + 37 = -q*j. Let w = -6 - j. Solve -3*y + 9 = u - 5*y, 4*u - w*y - 27 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7671266 microseconds in milliseconds?\nAnswer: 0.0007671266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, u: 4}. What is prob of picking 2 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minus 4666944?\nAnswer: -4666908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 402 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 818 + 0*o**2 - o**2 - 817 + o. Let w(u) = 4*u**2 - 4*u - 69. Let j(h) = -3*q(h) - w(h). Differentiate j(g) wrt g.\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 2, g: 1, l: 4, v: 1, c: 3}. Give prob of sequence cvg.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*j**3 + 2138*j + 49*j**3 + 438*j**3 - 2138*j - 3*j**2 + 3*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 36234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32086?\nAnswer: 2, 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*t - 114 + 107, -25 = -5*t + 4*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**4\/4 + z**3 - 3*z**2 - 121. What is c(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 6*w - 3*w + 3 + 4*w - w. Let z be ((-8)\/3)\/((-26)\/39). List the prime factors of k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 12152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10348077 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/4)\/(78\/(-26)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 85*y + 14. Let z = -49 + 32. Let a(j) = -28*j - 5. Let p(w) = z*a(w) - 6*x(w). Is p(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/1982?\nAnswer: 3\/1982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/((5 - 2)\/(-3)). Suppose 2*t - y = 5. Suppose 109 + 507 = 4*s + 10*s. What is the remainder when s is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 972, 1896, 2820, 3744, 4668?\nAnswer: 5592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 + 4*h**2 + 4*h - 4. Let q(t) = t**3 + t**2 + t - 1. Determine 20*q(w) - 5*u(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyxttdvytytdtyykvv. What is prob of sequence dtyy?\nAnswer: 25\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = -4*g - 16, -g - 21 = -4*s. Let d(c) be the second derivative of 7\/2*c**3 - 3*c**2 - 2*c - 5\/4*c**s + 0. Factor d(r).\nAnswer: -3*(r - 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*x + 208*x - 2542 + 2522 - x**3.\nAnswer: -x**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -4. Let m be -1 - (s - (1 - 1)). Let u = 2.222 - 3.222. What is the closest to m in 0.4, 0, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3548 divided by 5\nAnswer: -3548\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 5 = -8*y. Let g(o) = -o**2 - o. Let c(x) = 2*x - 1 - 3 + 2 + 3*x**2. Give y*c(b) + g(b).\nAnswer: 2*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 15. Let b be y(-10). Let j(q) = -q**2 - 1 - q**3 - b*q**3 + q - q - 2*q. Determine j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 38 = -7 + 95 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 6. Let y(u) = -2*u**3 + 2*u**2 - u + 1. Let x be y(2). Let o be c(x). What is the tens digit of 1\/(-2)*2*o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p + 3. Let n(o) = -1. Let m be ((-6)\/(-8))\/((-1)\/(-5 - -1)). Calculate m*n(l) + y(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1413952 rounded to three dps?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.5 (c) -105 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -0.0297966.\nAnswer: -0.000893898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)\/m*m\/(m*m**(-1)*m)*(m\/(m*m**(-13)))\/m*m*m**1\/m assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**5\/60 + 5*k**2\/2 + 3. Let z(w) be the second derivative of v(w). Let i(s) = -4*s. Determine z(i(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 540*a + 15 + 153*a)*(-1 - 3 + 1).\nAnswer: 1161*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0 + 4. Suppose -x*r + 24 - 8 = 0. List the prime factors of ((-9)\/r)\/((-430)\/(-72) + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by 413?\nAnswer: -205\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -94?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (4 + 4 + -3) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2232 - -2?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 31 - 192 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -553*66.\nAnswer: -36498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 173*y - 148*y.\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 43\/5 + (-1 + -11 - -8).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 174\/45 + 1 - 5. Sort p, 0, -0.38 in decreasing order.\nAnswer: 0, p, -0.38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/341*(-11)\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -2*w**3\/3 - w**2\/2 + w + 9. Calculate h(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22944, -45929, -69006, -92175?\nAnswer: -115436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*h = -19, 4*r - 5*r + 3 = h. Suppose r*a = -4*m + a - 3, 4*m = 3*a + 27. Let v = 21 - m. Calculate the remainder when v is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 69. Let j = -97\/3 + g. Which is smaller: 3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**4\/12 - k**3\/9 - k**2\/6 + k\/3 + 59. Factor g(i).\nAnswer: (i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -797*a + 280674 = -3199028. Calculate the greatest common divisor of 1062 and a.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 k when two letters picked without replacement from {s: 1, p: 2, h: 1, k: 2, l: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1345, 5, -3 in descending order.\nAnswer: 5, 1, -3, -1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 130 + 256 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*l - 457 - 823 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + o = 5*s - 7, -s + 8 = -5*o. Suppose -2*f + 4*p = 3 - 23, -s*p - 55 = -4*f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.45994 rounded to 2 dps?\nAnswer: 48.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365688?\nAnswer: 2, 170711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 100*c + 1252. Let s(t) = 2*t**2 - 1. Let z(j) = -f(j) - 2*s(j). Factor z(u).\nAnswer: -2*(u + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3392 + 33858. List the prime factors of c.\nAnswer: 2, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/113, -14, 8, -86\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.11 less than 7444894?\nAnswer: 7444898.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -192.9787 and -0.1.\nAnswer: 19.29787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1572)\/(-396) + -4)*-6\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*m**2 + 122*m**3 - 192*m**2.\nAnswer: 122*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1579 - 791 - 788 + 4*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 582\/(-113296)*(-1)\/(27\/288)\nAnswer: 4\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1.5251478 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*s = -3, -5*s + 6 = -u + 1. Let o(l) = 2*l. Let a be o(u). What is the tens digit of (-13)\/(13\/(-60)) + a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*q + 290*q + 102*q - 5502 = 40*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13*y**2 - 59*y - 1. Let p(u) = -27*u**2 - 116*u - 2. Give 5*m(c) - 3*p(c).\nAnswer: 16*c**2 + 53*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9905405 months in millennia?\nAnswer: 0.000165878375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 take away -391?\nAnswer: 390.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 7*y - 7. Let h be q(5). Let g = -1 + h. Factor 1\/3 + 4\/3*t + 4\/3*t**g.\nAnswer: (2*t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357182*y**2 - 357069*y**2 + 714139*y**2.\nAnswer: -112*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -90. Let f = 2\/21 + -94\/105. Which is the second biggest value? (a) f (b) l (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4\/5)*x**(-4))**(1\/20)\/((x**(2\/7))**(-36)*x**(-7)*((x*x**(-5))\/x*x)\/x) assuming x is positive.\nAnswer: x**(15467\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.043 - -0.082. Let l = z + 23.961. Let r = l + -22. Is r greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**4 + 1070805*h**3 - 10199*h**2 - 299*h?\nAnswer: -72*h + 6424830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.84658l in millilitres?\nAnswer: 53846.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4 + 0)*-10. Suppose 5*k + 10 = -n. Let t = -375.7 - -375.72. Which is the third biggest value? (a) k (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 + 1.1. Let c = -0.8 + u. Round c to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0741 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37233 or -37225?\nAnswer: -37225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**6 - 27*j**5 + 350*j**3 - 2*j**2 - 1716*j + 2.\nAnswer: -240*j**3 - 1620*j**2 + 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 10*j**2 + 10*j + 13. Let o be v(-9). Suppose 102 = -o*s + 22. What is s rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9694 at most as big as 9696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**2 - a - 2. Let d be l(-1). Let v(b) = -411112*b**2 + 5*b - 7. Let y be v(d). What is y rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*l**3 - 53*l**3 + 111*l**3.\nAnswer: 261*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - -0.12. Let f = -0.26 + a. Is -0.1 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 19. Suppose -5*m = -0*m - h. Calculate the smallest common multiple of m and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4940*v**3 + 45*v**2 + 50*v.\nAnswer: -5*v*(19*v - 2)*(52*v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 1472*z**2 + 10148*z - 14440.\nAnswer: 4*(z - 361)*(z - 5)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 9046*b**2 - 224732*b - 755664.\nAnswer: -2*(b - 4498)*(b - 28)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10330 - 4) + 1 + -1. Let q = m - 51352\/5. Let w = -56 + q. What is the nearest to 2\/7 in -4\/5, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*j**5 + 31*j**4 - 11*j**2 - 9?\nAnswer: -780*j**2 + 744*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123393177?\nAnswer: 1303, 862159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y + 70245 + 114535. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 + -33. Suppose 0 = -4*o + 2 - n. What is the units digit of 20\/(o\/15*-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 57838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -293 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 divided by 3?\nAnswer: 670\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3420435 (base 8) to base 16\nAnswer: -e211d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 6:22 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1925494571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 22. Let p be l(0). Let m = p - 10. Let v = -18 - m. Calculate the remainder when 24 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180\/11 + 911\/55. Let q = -180 - -181.8. What is the third biggest value in q, -0.2, v, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-51) - 240\/72*3\/30.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15424987*r**3 - 17538036.\nAnswer: 46274961*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50075 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + 2.98. Let u = 5 - n. What is the second smallest value in u, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -115 + (245 - 87)\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5299)\/(-21) + 6\/9. Let k be ((-8)\/(-6))\/(4\/6). Let c be 25 + (k + -1)*-2. Calculate the greatest common divisor of b and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 17 = -4*i, 39*d - 37*d + 16 = -5*i - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.458 to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 59 (b) -1\/5 (c) -4 (d) 1\/4 (e) -577\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**3 + 40*a**2 - 29*a + 69. Let u(o) = -o**3 - 8*o**2 + 6*o - 14. Let n(g) = -2*d(g) - 11*u(g). Let f be n(7). Solve -2*l + 3 - f = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394, 788, 1182, 1576, 1970?\nAnswer: 2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 + 10 - 15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24117 + 24117 - 3289*k**3)*(-4 + 4 - 2) + k**3 - 4*k**3 + k**3 in the form j*k**3 + u + w*k + v*k**2 and give j.\nAnswer: 6576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1204 - 698. Suppose -5*c + 3*w = -z, 4*c + 2*w - 331 = 65. Calculate the remainder when 398 is divided by c.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 1 u when three letters picked without replacement from tbyiuyb.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - j - 4 + (1 + 14 - 7)*(-j + 0 + 0) as q*j + h and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6970357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*m - 1373 - 3256 - 4975. Which is bigger: m or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/((39\/(-12) - -3)*16\/(-32)). What is the greatest common factor of 1312 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 15*u**4 - 17 - 36*u**4 + 19*u**4 to the form o*u**2 + c*u + b*u**3 + w + i*u**4 and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - q - 24 + 87, 4*y + 4*q - 72 = 0. Let u(t) = t**3 - 5*t**2 + 4*t + 1. Let c be u(4). What is the units digit of ((-1)\/(-3))\/(c\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -21*o**3 - o**2 + o - 11. Let s(v) = -62*v**3 - 2*v**2 + 2*v - 32. Let k(y) = -11*d(y) + 4*s(y). Is k(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122 + -110?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((179040\/192)\/(-373))\/((-65)\/(-6)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 389 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/9 + 608*a**2\/9 + 16384*a\/9 + 40960\/3.\nAnswer: 4*(a + 16)**2*(a + 120)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 + (-56)\/(-35). Let p(y) = 2*y**3 + 111*y**2 - 171*y - 12. Let j be p(-57). Sort c, 4, -5, j in increasing order.\nAnswer: j, -5, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*r**3 + 32*r**3 + r**5 - 6*r + (-1371*r**3 + 400*r**3 - 857*r**3)*(r + r**2 - r).\nAnswer: -1827*r**5 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y + 15. What are the prime factors of p(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 7*s - 6*s - 9)*(5*s**3 - s**3 - 3*s**3)*(-2*s - 2*s + 2*s).\nAnswer: 2*s**5 + 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + b**2 + b + 6. Suppose -2*v + 3 + 3 = 0. Suppose -m = v*m. What is k(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2820, 5580, 8352, 11142, 13956, 16800?\n\"Answer: f**3 + 2753*f + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 559049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u**2 - 4*u - 4. Let w(f) = -3*f**2 + f + 1. Let q(j) = -2*o(j) - 9*w(j). Let z(b) = b**2 - b + 5. Determine -q(d) - z(d).\nAnswer: -2*d**2 + 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304137250 divided by 1.\nAnswer: 304137250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**2 - 7164*n - 142071. Give i(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/4))\/l)**(2\/75)*(l**2*l*l)**(10\/7))**31 assuming l is positive.\nAnswer: l**(186217\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 8*v**2 - 10*v - 7. Let z be g(-9). Let r(h) = -2*h + 2*h + z*h - 3*h. Let n(m) = 3*m**2. What is n(r(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 0.10343.\nAnswer: 0.113773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81\/20 + 24\/5. Which is the third biggest value? (a) 9 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 258.99618398 + 7.00382872. Let l = z + -266. What is l rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(20)\/(sqrt(10)\/sqrt(2)))\/(1*sqrt(6)\/sqrt(3) + sqrt(2) - sqrt(2)) + 0 + sqrt(108)\/sqrt(6) + 5 + -2)**2.\nAnswer: 40*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 11745.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17070, 17088, 17132, 17214, 17346?\nAnswer: 17540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146970 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*o**2*q + 2370*o*q - 1652014*q wrt o.\nAnswer: -140*o*q + 2370*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of y**4\/24 + y**3\/6 + 5*y**2. Let f(p) = -31*p - 8*p + 1 - 3*p**2 + 36*p. What is -f(o) - j(o)?\nAnswer: 3*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*6*(-5)\/(-10). Let g(i) = 2*i + p*i**2 - 7*i - 2*i**2. Let n(w) = w**3 - w**2 - 3*w - 4. Let q be n(3). Determine g(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 17518 - 5986 = 0. Let f = g - 211411\/18. Calculate the common denominator of 76\/6*14\/24 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.24 + 0.07. Let q = -0.01 + y. Suppose -2*w + 3*a = 6*a - 8, 5*a - 24 = 2*w. What is the nearest to -0.1 in -4\/9, q, w?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 121*j + 1940. Let g be h(-102). Solve g*w = 2*t + 1 + 9, 5*w - 17 = 3*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(sqrt(2) - sqrt(10)\/sqrt(5))*-4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 16, k: 1, e: 1}. What is prob of sequence ek?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63.2 + 63.49. What is the third biggest value in -5\/3, m, 2\/11, 1\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 726\/7 - 104. Suppose -9*s + 2*s = -7. Which is bigger: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and 38.57959.\nAnswer: -1003.06934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-7))\/(f\/(f**(-3\/8)\/f)))**(4\/25))**(-10) assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3\/145147, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 32*j**2 - 1433*j + 426. Give i(57).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*d + 4*f, 3*d + 4*f + 5 = -9. Let a(x) = 3*x**3 - 14*x**2 - 7*x + 10. Let y be a(5). Find the second derivative of 2*i - 6*i + i**d + y*i wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufp when three letters picked without replacement from {f: 1, u: 2, p: 7}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ico when three letters picked without replacement from {m: 4, d: 1, i: 4, h: 2, o: 1, c: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6086?\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25.5 + 25. Let m = x + 0.4999968. What is m rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*2\/(16\/(-20)). Find the common denominator of 6\/11*(-3 + x) and -59\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/4 + -1*(-3 - -1). Suppose 0 = -y + 3 - 2. Let l be y\/2*(12 + -6). Which is the smallest value? (a) w (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216189 or 216143?\nAnswer: 216189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggt when three letters picked without replacement from {g: 12, t: 6}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -50. Suppose r - v = 5*n, -5*r - 3*n = -8*r + 159. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7738 + 7737.93314. Let v = r + 0.068. What is v rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24275749 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -0.014?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -718 - -932. Is f <= 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3282 + 588 = -6*v. What are the prime factors of v?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1\/(-1)*-2. What is the second derivative of -2*x**2 - i*x**2 + 4*x**2 + 4*x - x**2 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001252 to 7 decimal places.\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -173, 11, 1, -4, -2 in descending order.\nAnswer: 11, 1, -2, -4, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 1395557*i\/2 - 348889.\nAnswer: -(i + 697778)*(2*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 64*y**2 - 863*y - 4850. Give n(-41).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -425 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*a - 4 = 3, -3*s + 2*a = 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*f + 168*f - 55*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 10473.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-5) + 24\/15. Let z be (9\/(-189))\/(y\/(-12)). What is d in -z + 0*d**3 + 4\/7*d**2 - 2\/7*d**4 + 0*d = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 567*d - 829 wrt d?\nAnswer: 567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1371880\nAnswer: -1371877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8052, 16155, 24258, 32361?\n\"Answer: 8103*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 449382112 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 0, 14, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/143 and 97\/78?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14549349 and 23775?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -3, 0 in increasing order.\nAnswer: -4, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -2*y - 14, 0 = -4*l + 2886*y - 2882*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 2*j)*(4 - 4 - 3) + (0 + 3 - 6)*(0*j + 0*j - j) in the form n*j + a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 11*y + 48 - 19.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3.3, 1, -194, -6?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1837 or 1829?\nAnswer: 1829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 118b + 8?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29\/2? (a) 4 (b) 0.9 (c) -2 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.02 or 0.017?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2 + 4*o + 19. Let x(t) = 22*t**2 + 14*t + 53. Let g(h) = 2*x(h) - 7*z(h). Let j(w) = -3*w. What is g(j(d))?\nAnswer: -108*d**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 53 - q**2 + 2*q**3 - q - q**3 + 0*q. What is the remainder when a(0) is divided by (6118\/(-57))\/23*-3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**6\/360 - 16*y**4\/3 + 51*y. Let r(n) be the third derivative of s(n). Let k(j) = -j**2 - 3. What is k(r(h))?\nAnswer: -4*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 684\/(-1539)*3*(-3)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-265)\/(-3180)*5*8\/(-40)*12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -380a733 (base 11) in base 15?\nAnswer: -8aaa24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 824 - 575. Does 47 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20453132317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**3 + 13*v**2 - 4*v + 6. Let k(w) = -w**3 - w**2 + w. Let x(p) = -f(p) - 5*k(p). Let g be x(-8). What is y in 2*y - g*y**3 + 4*y - y - 3*y = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 1622*b - 17 - 1620*b - 4*b + 11*b - 5*b + (-1 + 2 + 1)*(2 + 4*b - 2) in the form x*b + d and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*z - 9, -3*t + 4*z = -t - 12. Is (15\/t)\/(11\/264) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 - 47*w - 13. Let g be b(-9). Suppose g*y + y - 1272 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - m)*(-4*m**2 - m**2 + 3*m**2) - 86*m**3 - 9*m**2 + 126*m**3 - 74*m**3.\nAnswer: -32*m**3 - 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 248779009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 1 + 1)*(o + 3*o + o) - 8 + 0*o**2 + 19 + o**2 + (o - o - o)*(-22 + 48 - 25*o - 28) as r + g*o**2 + w*o and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 n(i) = 1 + 140*i**2 - 3 + 2 - 148*i**2. Let a(t) = -9*t**2. Determine n(a(q)).\nAnswer: -648*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 8*x**2 + 10*x + 10. Let r be j(-9). Is (-3628)\/(-4) + (r - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 22 = 2*f + 34, 4*k - 3*f = 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 39. Let h be (q\/(-9)*3)\/(-1). Find the first derivative of -7*r - h*r - 13 + 8*r - 11*r wrt r.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15*h**2. Let p(n) be the first derivative of -n**4\/4 - 29*n - 20. Let k(j) be the first derivative of p(j). What is x(k(s))?\nAnswer: 135*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/347 or 0.2?\nAnswer: -6\/347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -7*z. Let i(r) = -r**3 + r + 168. Let n be i(z). Suppose n = -5*c + 8*c. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/10)\/((-2)\/(-20)). Let w be 5\/(-5)*(0 - -3). Sort 2, x, w in descending order.\nAnswer: x, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 6*s - 5499. List the prime factors of s.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x + 44. Let d = 2888 + -2855. Calculate the greatest common factor of x and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.9175 + 0.0825. Put 54, -4, b in ascending order.\nAnswer: -4, b, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*t + 7 + 1120 = -91*t. Calculate the remainder when 383 is divided by t.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/2*p**3 + 0 - 1\/12*p**4 - 11*p - 3*p**2. Determine t(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*n**2*w*y + n**2*w + 124253*n**2*y - 2*n*w*y - n*w + 3*n*y - 8*w*y + 3*w + 83*y wrt n?\nAnswer: 52*w*y + 2*w + 248506*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.1 * -1.478.\nAnswer: -37.0978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 803, 823, 795, 713, 571?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440 divided by -4.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4 = c, 5*c - 2*j = -193 + 178 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxbbxbbxxxxxx. What is prob of sequence xx?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -196\/11 equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 4. Let x be ((-5)\/(-10)*2)\/(49\/1078). Let l be (-51)\/(-6)*w + 11\/x. Solve -l*i - 9 = -6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -476*h + 96. Calculate the smallest common multiple of 168 and g(0).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11383636 divided by 1\nAnswer: 11383636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 1 - 1 + 5*f**2 + 6*f. Let q(t) = -t**2 - t. Let x(l) = -h(l) - 6*q(l). Let r(s) = -s**2 + 4*s**2 - s**2. Give x(r(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + sqrt(176) + sqrt(176))*-3)**2*1 + 2.\nAnswer: 864*sqrt(11) + 12836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a)**(-42)*(a**3)**(-1\/36))**(2\/23) assuming a is positive.\nAnswer: a**(503\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 35 = -2*x, -2*w - 13 - 2 = -5*x. Let k = -9685 - -9705. Sort x, 3, k in increasing order.\nAnswer: 3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -2*n. Let k be ((-1)\/n)\/(19\/2). Let r = -3.95 + -0.05. Which is the second biggest value? (a) k (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 56*v**2 - 3*v - 56. Let x be f(-28). What is the third derivative of 2*s**2 + 109*s**4 + 141*s**3 - 141*s**3 - x*s - 41*s wrt s?\nAnswer: 2616*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 + 754*m + 4130. What is k(-145)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-718)\/(-322) - 980\/11270.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 285 + -134. Let j = -21400.3 - -21551.3122. Let t = f - j. Round t to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13564557*u + 8808764?\nAnswer: 13564557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 6*v**2 + 6*v - 7. Let d be n(5). Let t = -41 + d. Let r(j) = j**3 - 6*j**2 - 7*j + 3. Give r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6)*-1 + sqrt(10)\/sqrt(20).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 9. Let q be 9\/(-2) - (-12)\/(-8). Give y(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x, -4*f - 8*x = -7*x - 124. Let o = f - 0. Solve -o = 5*w - 11, -v = w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -122 (b) -8 (c) 10893\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 103 = -97. Suppose -2*i = 2*y, 4*i + 6*y = 3*y. Suppose -10*q + u - 20 = i. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5003\/3536 + 5\/221. Suppose 0 = -3*o - 4*l - l - 4040, -5*l - 5380 = 4*o. Let c = o + 5327\/4. Calculate the common denominator of p and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-8) + (-9)\/(-12). Suppose w = 3*o + o. What are the prime factors of 1 + o - 15\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/716176 and -61\/448.\nAnswer: 20052928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13245370 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 201229049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 104332 = -3*x - 10455, 4*x = 4*q - 75076. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 10*m**2 + m**2 + (2 - 3 + 3)*(-m**2 + 3*m**2 - 5*m**2)*(4 - 3 - 3).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5709, -5718, -5737, -5772, -5829?\nAnswer: -5914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19631.3 - -19630. What is the closest to -0.1 in -4, 5, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by ((10\/5)\/1)\/((-2)\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15008.938 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 2.2.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001292 to five decimal places.\nAnswer: 0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/15)\/(-14)*3*-145*(-14)\/140?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {a: 2, v: 5, l: 1, m: 1, e: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-120))\/((-3009)\/1093270).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 3, x: 1, l: 3}. What is prob of sequence lz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.4, -5, 1817 in increasing order.\nAnswer: -5, -0.4, -1\/6, 1817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**2\/4 - 465*m\/4 + 2425 = 0. Calculate m.\nAnswer: -485, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -1\/2*z**2 - 2*z + 1\/6*z**3 + 1\/12*z**4 + 0. What are the prime factors of t(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14283)\/1150 + (2\/(-100))\/((-106)\/(-424))?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6\/13, 4, 1?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 9*d - 779. Let t be s(-33). Calculate the greatest common factor of 65 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -40*y**3 - 2*y**2 + 38*y - 8. Let m(n) = -14*n**3 - n**2 + 14*n - 3. Let a(o) = 3*d(o) - 8*m(o). Determine a(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246276206 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: b\"What is the ath term of 2016892, 2016891, 2016890?\n\"Answer: -a + 2016893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o - 116. Let t be x(17). Let k be 41417 + -14 + (0 - t). What is k rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10*l - 7*l + 138745 = 0, -w - 6*l = -27749. List the prime factors of w.\nAnswer: 27749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-27)*-3*-237?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3) - (4 + -4). Suppose l = 3*o + 12, -5*m + 13 = -2*o - 0*o. Put -3, m, -1 in descending order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18909 + -2959. Is 280 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2701, 2653, 2609, 2569, 2533?\nAnswer: 2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/4 - -18) + -24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-39)\/36 - (-2)\/(-8). Let y = 661 - 660.4. Which is the smallest value? (a) s (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 0, 163207, 9 in decreasing order.\nAnswer: 163207, 9, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246887.1 millilitres to litres.\nAnswer: 246.8871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/21 (b) -5 (c) -0.1 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Let p(k) be the third derivative of -k**4\/3 - 3*k**3\/2 + 6*k**2 + 2*k. Is p(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6280 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nll when three letters picked without replacement from nlqllncnlcc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 11:17 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 33*d + 218. Calculate v(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.5 - 6. Let z = x + 19.1. What is z rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11247*v**2 - 11270*v**2 + 4 - 3*v**3 - 2 as s*v + i + x*v**3 + q*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 4:03 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 6*s - 3*s. Let h be ((-1024)\/48)\/(s\/(-3)). Let c = 70 - h. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1373\/40 - -176\/5. Let s be (-33)\/39 + (-6)\/39. Find the common denominator of (1\/((-14)\/(-83)))\/s and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-1 - -2)*-1. Suppose -5*j - 30 = -s*j. Is 57 - (-3)\/j*-4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.088 and -4246.\nAnswer: -373.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 107 - -1321?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11055\/2613 - (-60)\/78.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-4))\/(68\/(-170)*(-1 - 4)). Solve 19*i + 73 + 41 = g for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 34 - 3 = -5*w, 5*q + 2 = w. Solve 0 = 5*n + 8 + w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3542824657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354 and 7198.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.4 - -18.9. Let t = h + -5.6. Round t to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50592)\/(-6696) - 356\/(-72)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1\/5, 2\/9, 2, 1, 744031?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -5 + (-42)\/7 + 13. Sort 5, -18, m, -5 in descending order.\nAnswer: 5, m, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.3 times -27265\nAnswer: -226299.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - 4*f - 3. Let u be (-6)\/2 + 12 + -2. Let y(p) = -5*p**2 - 8*p - 5. Let m(q) = u*i(q) - 4*y(q). Suppose 8*w = -13*w + 26*w - 15. Give m(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -171. Suppose 2*a + 1136 = w*a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3912107815 by 5.\nAnswer: -782421563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -259*l**5\/30 + 109*l**4\/8 + 434*l**2. What is the second derivative of k(j) wrt j?\nAnswer: -1036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 - n + 12. Let o be q(8). Let r = 77 + -16. Suppose -m = -3*s + r, 31 = o*s - m - 49. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*i + 31*i + 8*i + 823*i**2 - 4313*i**2 + 38*i wrt i.\nAnswer: -6980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*f**3 - 25*f**2 + 25*f**2)*(-3 + 2 + 3)*(-2 - 3 + 3) - 2871 + 2871 - 126*f**3 + (-f**2 + 0*f**2 + 3*f**2)*(5*f - 5*f + 2*f).\nAnswer: 114*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 337, -1, 2 in decreasing order.\nAnswer: 337, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106.99999852 + 107. Round v to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*t**2 + 9*t - 2*t**4 + 5*t**2 - 8*t - 5*t**2 + 2*t**3 in the form n*t**3 + u + v*t**2 + s*t**4 + q*t and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-7) - 1220\/(-854). Let x = -48727\/109 - -447. Let w = -181\/1962 - x. Is w less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 8. Let m be x(10). Let h be -1 - (m + 3 + -2). Let d = 17\/6 + -2. Which is greater: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (40 + -18)) + 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 28*d - 21. Let g be t(13). Suppose r = 33 - 23. Solve -g = y, -4*m + y - r = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 2*p + 3. Determine j(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 divided by -151?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -39 + 10 - (5 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18715.5 and 17.\nAnswer: -318163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*a + 10 + 7, -a - 6 = 2*j. Let c = 11.74 + 0.26. Is j less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 2735026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 12*f**2 - 27*f + 11. Determine x(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**2 - 1703431*r = 0.\nAnswer: 0, 1703431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**(2\/5)\/a)\/a)*a)**(-21\/5)\/(a**(-2\/11)\/(a**(-4\/11)*a)) assuming a is positive.\nAnswer: a**(-3933\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 26989*m - 323907. Calculate o(-12).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417117501?\nAnswer: 3, 43, 1077823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**3\/6 + 6*k**2. Let l = 13 + -19. Let v(p) = 3*p - 9. Let h(c) = l*b(c) - v(c). What is the first derivative of h(q) wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*o - 12 + 37 = 0, z - 5*o = -7. Solve -2 - z = -5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*0\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43\/15 + 8\/3. Which is the smallest value? (a) 8 (b) i (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38776 is divided by 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((6 - 5) + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c. Suppose 7*f + 12 = -16. Put f, c, 1 in descending order.\nAnswer: 1, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a centimeter in millimeters?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-123621*r**2 + 3*r + 24772*r**2 - 3*r - 40751*r**2 + 8832*r**2)*(-5 + 1 + 3) in the form m*r**2 + a*r + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**2 - 2*h**2 + 4*h**2)*(-1 + 1 + 1)*(2826 - 783 - 528) to the form n*h**2 + k + g*h and give n.\nAnswer: -3030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from {v: 3, u: 8, m: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5477 + 6*h - 5*h - 5481 + 2*h.\nAnswer: 3*h - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fvofffvfofvfvfv?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5 = -2. Let v = -6 - o. Let b(m) = -m**2 - m - 1. Let k(h) = -4*h**2 - 5*h - 4. Let z(g) = v*b(g) + k(g). Differentiate z(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16677 and 54?\nAnswer: 100062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*x + 216 = 4*c + 149*x, -238 = -5*c - 3*x. What is the remainder when 3999 is divided by c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 39*w**2 - 220*w + 27. What is the remainder when 446 is divided by i(-44)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -70*f + 80. Let h(u) = 70*u - 81. Let j(c) = 3*h(c) + 2*l(c). Differentiate j(n) with respect to n.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5814848 = 138*x - 31545086. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 + 7*r + 10. Let l(d) = -9*d - 5 - 2*d**2 + 14*d - 8*d. Let o(w) = 7*l(w) + 3*t(w). Differentiate o(g) with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = 6*r. Which is bigger: r or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6796, 6785, 6772, 6757, 6740, 6721, 6700?\nAnswer: 6677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 928.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.981098 centimeters?\nAnswer: 0.05981098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 457121167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 - 2*a - 3 - 3*a + a**3 + 2. Let l be x(-4). Suppose -5*b + 206 = 2*s + 51, -4*b = l*s - 124. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:32 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 45430?\nAnswer: 136290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 553 + -552. Which is the smallest value? (a) 191 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1 - 0*(-7)\/(-77). Let u(o) be the first derivative of a*o**2 - 10\/7*o**4 + 10\/7*o**5 + 2 + 8\/21*o**3 + 0*o. Solve u(s) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/35894 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -26*h**2 + 11*h + 7. Let g(u) = -78*u**2 + 33*u + 20. Let r(v) = -3*g(v) + 8*l(v). What is the second derivative of r(d) wrt d?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/51*1 - (-380)\/(-255).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7621.18715 rounded to 1 dp?\nAnswer: 7621.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 122.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-32)*((-4)\/6 - 0). Which is the third smallest value? (a) -5 (b) -1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -311661635.\nAnswer: 155830817.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -213. Let p be g\/(-4)*7\/1449. Let h = p + 1\/46. Which is bigger: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2085006057.\nAnswer: 3, 47, 14787277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 14*q**2 + 50*q + 26. Suppose -4*r = -r - 54. What is the smallest common multiple of r and n(17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 t, and 1 s when three letters picked without replacement from qjsxtnq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -67.67 and 19.\nAnswer: -1285.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318459807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - 3*g**2 + 0*g + (2*g + g - 2*g)*(-454 + 454 + 22*g) + (3 + 0 - 5)*(4 - 2*g**2 - 4) as b*g**2 + h*g + o and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*w**5 + 177*w**3 - 1929*w**2 - 77*w + 2849.\nAnswer: -40*w**3 + 1062*w - 3858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b + 2. Suppose -m - 4 + 13 = 4*k, -9 = 2*k + 5*m. Suppose b + k = d. Solve 0*h - d*h = 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 273*a**4 + 3*a**3 - 3*a**3 + a**3 + 5*a - 328*a**4 + a**3 as d + x*a**2 + u*a**3 + k*a**4 + t*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7231 divided by -35?\nAnswer: -1033\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 13. Suppose -5*h - o*g + 45 = -2*g, 0 = -h + 3*g + 13. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -156, 242, 616, 966?\n\"Answer: -12*x**2 + 434*x - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/35)\/((-1)\/7)*0. What is f in v*f + 2\/19*f**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55 and -5?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 - 7*x + 5. Let y(i) = 4*i**2 + 4*i - 2. Determine 2*c(q) + 5*y(q).\nAnswer: 2*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/9 + (-8)\/(-36). Let a = 1372.628 - 1376. Let m = a + 0.072. What is the third biggest value in m, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) + (sqrt(114) - -1*sqrt(114)*2)))\/(6*sqrt(30)\/sqrt(5)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 4*y**2 + 5*y + 6. Let p be w(5). Let b be ((-8)\/(-6))\/(p\/27). Let c be ((-6)\/(-27))\/(8\/72). Solve -c*f + 4 = -b*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/2 + 409*b\/2 - 810 = 0. What is b?\nAnswer: 4, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.82 - 2431.18. Is 1\/4 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13255 is divided by 221?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111101101000 + 10011?\nAnswer: -101111101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 27*j**2 + 26*j - 49. What is v(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 481 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -5 + -14 + 18 - (-6 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20 + 5)*(8 - 133574\/21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c**2 + 6*c + 6. Let o = 4 - 10. Let l(y) = 3*y**2 + 7*y + 7. Let u(b) = -2*b**2 - 4*b - 4. Let k(i) = 3*l(i) + 5*u(i). Calculate o*k(w) + n(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/192 - (-2)\/(-6). Sort m, 4\/9, 2\/7 in ascending order.\nAnswer: m, 2\/7, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -30017, -3, 47.\nAnswer: -30017, -3, 12, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 1. Let t(i) = 0*i + 6*i - w - 5*i. Determine t(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a + 3*a. Let g = a - 3. Calculate the lowest common multiple of 2 and (-249)\/(-27) + g\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -247, -390, -663, -1108, -1767, -2682?\nAnswer: -3895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 15*o + 6*o - 241 + 102 + 48.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*b + 37*b + 575*b + 6.\nAnswer: 544*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.081 + 0.083. Let v = -0.198 - q. Suppose 5*r - 30 = 5*j, -r + j - 10 = -4*r. Which is the nearest to 4? (a) v (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (90\/12*124)\/(((-408)\/(-464))\/17) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116824543, 116824544, 116824545, 116824546?\nAnswer: 116824547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 13. Suppose 5*c = -4*d - 20, 0 = -0*d - 3*d - 5*c - 20. Let b(n) = -n**3 + n**2 + n + 2. What is the lowest common multiple of b(d) and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c - 6 = 26*c - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1. Let z(i) = -i + 5. Let y(h) = 5*o(h) - z(h). Let d(b) be the first derivative of -b**3\/3 - 4. Give d(y(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from pvpvvppvvzpz.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4*l**2 - 2*l**2 + 9*l - 9*l.\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1259 + -1c7?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide (-17392)\/(-4) - (-8 + 19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/2, -3, -71, 269, -4 in increasing order.\nAnswer: -71, -4, -7\/2, -3, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 6*i - 21. Let a be f(9). Let j(b) = 8*b**3 + 8*b**2 - 5*b + 14. Let g be j(a). What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66272 and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1103269\/14 - -78842. Let q = k + -249\/7. Let -3 + 0*r**2 + q*r**3 - 9\/2*r = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -382 - -394. What is the closest to -1 in -1\/4, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 210, -19 in descending order.\nAnswer: 210, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m + m**2 - 14 + 2 - 5*m**3 + 6*m**2 + 4*m**3. Let b be t(8). Let u(s) = -9*s + b*s + 6*s + 7*s. Let l(v) = v. Calculate l(u(n)).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Let a = 3 - h. Let g = 5 + a. What is the second biggest value in g, -3, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27, 19, 11?\n\"Answer: -8*i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 5*o**2 - 2*o - 6. Let c be v(-5). Solve 1 - 21 = -c*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -24. Let h = 7349917\/2140770 + 2\/71359. What is the common denominator of 2 + -2 + r\/(-3) and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1132*x. Let y(p) = 408*p. Determine w(y(h)).\nAnswer: -461856*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:35 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6730*d - 57. What is the tens digit of k(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -16. Suppose -r*d = -0*d + 20. Let g = -3.96 + 0.96. Which is the third biggest value? (a) 0.4 (b) d (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3473\/2 + 1641. Let y = r + 95. Which is the nearest to -0.2? (a) 3 (b) 0.5 (c) y (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z**8\/z))**(-1\/32))**(-3\/2))**(1\/44) assuming z is positive.\nAnswer: z**(-15\/2816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5) + -5 + (sqrt(343) - -1*sqrt(343)) + sqrt(7))**2.\nAnswer: -160*sqrt(7) + 1817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 121112011 (base 4) to base 9\nAnswer: 167357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 546379\/4167 < 131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*s - 5117 = -775*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 446 and 5663977.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4843, -19369, -43579, -77473, -121051?\n\"Answer: -4842*n**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 2, g: 3}. What is prob of picking 2 g?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*d - 291*d + 57 = 3*x, 40 = 5*x - 3*d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725320 is divided by 241558?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5454 and 707.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuzumumuuumup. What is prob of sequence uvm?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + 5 + (-4 - -5) + 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 4*r + 192 - 233 = 0, 4*r - 20 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5631*y + 28121. Give d(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**6\/420 - 2*u**5\/105 + u**4\/21 + 2*u**2 + 4*u. Let r(p) be the first derivative of j(p). Determine h, given that r(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -308.01 + 310. Let i = n + -2. Let l = 0.01035 + i. What is l rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44653 to the power of 1\/2, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -27, -5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-18) + 5\/(-6). What are the prime factors of (37 - j)*2\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -523034\/11 smaller than -47550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -533\/7, 9, -143 in descending order.\nAnswer: 9, -533\/7, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6154, -13215, -20276, -27337, -34398, -41459?\nAnswer: -48520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 1\/6*k**3 - 5*k + 0 + 0*k**2 - 2\/15*k**6 + 0*k**5 + 0*k**4. What is the second derivative of o(v) wrt v?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103863 divided by -1\nAnswer: 103863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63.06 - 0.94. Let b = k + 111. Let n = 46.99928 - b. Round n to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 - 2*n - 1. Let a be i(-4). What is the greatest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3131*x**3 + 216?\nAnswer: 9393*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/20413157 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -104223\/8285?\nAnswer: -104223\/8285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/80844 and -31\/646752.\nAnswer: 646752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m - 7 = 2*w, -m = -2*w + 23. Let v be -1 - 3\/3*-118. Calculate the greatest common factor of w and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21035, -21405, -21769, -22121, -22455, -22765?\n\"Answer: f**3 - 3*f**2 - 368*f - 20665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 265.1 - 265. Which is the nearest to f? (a) 3\/8 (b) -37 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18721.29 micrometers in nanometers?\nAnswer: 18721290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncpypcnpucuc. Give prob of sequence nny.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*r - 8*r + 3*p, 0 = 3*r - 3*p - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1620634 (base 9) to base 16\nAnswer: -db92e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or -2\/543?\nAnswer: -2\/543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/232 and (-1212)\/(-870)*135\/(-4644).\nAnswer: 9976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 37 - 17 = 0. Let s(n) = 3*n - 4. Let c be s(3). Suppose 2*z = m*x - 22, 3 = c*x + 3*z - 8. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68)\/(-12)*(1 + 2). Solve 3*c - i - 10 = 0, 16*c - l*c - i + 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, 2, 75, -5, -2 in descending order.\nAnswer: 75, 10, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*y - 2*y - 18071. Calculate the remainder when y is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1716 and 6402.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a092c - -3?\nAnswer: -a0929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**4\/6 - 5*u**3\/2 + 3*u**2 - 6*u. Suppose -32*x + 143 = -177. What is the units digit of q(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2088\/11 - 190. What is the closest to -2 in -9, p, 1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.7 + 32.7233. Let m = 2.0233 - h. Which is the fourth smallest value? (a) -2 (b) 4\/7 (c) 49\/4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1489*x + v = 2979*x - 1489*x - 9, 3*x + 3*v + 3 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 + 2*h**3\/3 + 241*h + 136. What is the tens digit of m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 222?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2863678.3778 - 38.6.\nAnswer: 2863639.7778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-15)*-2*9. Let g(q) = -q**2 - 12*q + 7. Let j be g(x). Let s(k) = -3*k**2 + 4*k + 3*k - j*k. Let a(z) = 5*z**2. Calculate a(s(r)).\nAnswer: 45*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 2, m: 2, h: 1, y: 1, d: 1}. Give prob of picking 1 d and 2 n.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, -32, -109, -244, -455, -760, -1177?\n\"Answer: -3*b**3 - 2*b**2 - 10*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1320\/(-225) + -1 + 7. Let v = 7.2 + -12.2. Which is the nearest to -1\/8? (a) 2 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 smaller than -1.7807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 16, 18, 20?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1785679 or 1785680?\nAnswer: 1785680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 730 = 3*w, 2*w = 9*k - 5*k + 482. Differentiate 57*g**4 - 65*g**4 - w + g**2 + 74 with respect to g.\nAnswer: -32*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 874 or 1747\/2?\nAnswer: 874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyty when four letters picked without replacement from {w: 3, y: 3, t: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + 28*m**3 + 2*m + 0*m - 8*m**2.\nAnswer: 28*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 24 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (1*-2)\/(-2). Let u(z) = z**3 - 11*z**2 + 15*z - 49. Let x be u(10). Is (x\/(-2))\/(r\/36) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = -10. Suppose -3*i = q - 8, 0 = 3*q + 4*i - 8 - u. Sort -2, q, -9.\nAnswer: -9, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b. Suppose -m = -42 + 32. Let n(x) = 12*x + 10. Let u(v) = 4*v + 3. Let h(k) = m*u(k) - 3*n(k). Calculate l(h(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2 + -1 - 0). Is 9 a factor of 33 + 3 - 2 - x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -42, 2, 42, -116 in decreasing order.\nAnswer: 42, 5, 2, -42, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:21 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/138 and (-102)\/9936*172 - -2.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 23*k**8\/56 + 65*k**4\/12 - 57*k + 2. Find the third derivative of t(a) wrt a.\nAnswer: 2760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7656 by 3828.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**6\/120 - 3*x**5\/20 - x**3\/3 - 5*x**2. Let n be f(-9). Let z(c) = -6*c**2 - c**3 + 4*c**2 - 2*c - 517 + 515. What is z(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*q - 5*q - 43 = 0, -3*q + 48 = 5*f. Suppose -f*n = 4*n - 1807. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = 5*r. Let w(m) be the third derivative of m**5\/60 + m**4\/12 - 5*m**3\/6 - 2*m**2. Calculate w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-4\/9)*x*x**0)**24\/((x\/(x\/(x*x**(-2)\/x)*x))**(-10\/7))**40 assuming x is positive.\nAnswer: x**(-2368\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066*g - 309*g - 2338 = -597*g - 10462 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22972\/91 + (-4)\/14. Let g = -252 + s. Suppose -4*a + 5*y - 1 = 0, -6*a + 3*a + 7 = 4*y. Which is bigger: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajj when three letters picked without replacement from jajbujb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -26 and -21696676.015.\nAnswer: -21696702.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/27)\/(-1 - (-44)\/48). Let v(t) = 3*t - 11. What is v(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -819125466*g**4 - 1080892126*g**2?\nAnswer: -19659011184*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/15 - 26*q**4\/15 + 86*q**3\/15 - 38*q**2\/15 - 88*q\/15 + 64\/15 = 0. Calculate q.\nAnswer: -1, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206649*x**3 + 6*x**2 - 1097110 wrt x.\nAnswer: 619947*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163 - 6*n**3 + 3*n**3 + 12*n - 140.\nAnswer: -3*n**3 + 12*n + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*j - 273*j - 270*j - 217*j + 688*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3 - 69*s**2 + 22682*s - 11758904.\nAnswer: -3*s**2 - 138*s + 22682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-33)\/(-30))*(2123\/(-396))\/(-193).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.6. Suppose 2*x + 5 = -1. Which is the smallest value? (a) x (b) z (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 359907, 1439519, 3238871, 5757963, 8996795?\n\"Answer: 359870*b**2 + 2*b + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/8*(-11)\/3. Suppose -x*v - 105 = -4*v. Let k = -15 - v. Solve -4*f + k = -3*a - 2, -4 = f - 3*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -8. Let t(q) = 3*q**2 + 6*q + 4. Calculate the remainder when t(-5) is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1512)\/(-15120))\/((-1)\/(-5))*-19\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = 13. Let k = 1 + u. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 18.8. Put 5, c, -0.2 in descending order.\nAnswer: c, 5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -16. Suppose 0*r - 2*h + o = -5*r, r + h = 3. Let w = 237 + -1669\/7. Which is bigger: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1075\/7 + -153. Let f(g) = -3*g**3 + 6*g**2 + 6*g - 2. Let h be f(3). Which is the nearest to p? (a) h (b) -2\/19 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 1089942*a + 1089940.\nAnswer: 2*(a + 1)*(a + 544970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, 1 k, and 1 m when four letters picked without replacement from ckkmcmskccsmsklm.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 3 - 1) + 3. Let x = a + 13. Suppose 5*w - 48 = 2*w - 2*n, w - 30 = 4*n. What is the lowest common multiple of x and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 22.26335 nanograms?\nAnswer: 0.00000000002226335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14682 - 7752. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -201100?\nAnswer: -201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 14598331 + 6659369 = 41*r. What is r rounded to the nearest ten thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, -3, -28, 1, -2, -1 in decreasing order.\nAnswer: 1, -1, -2, -3, -28, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 3:04 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, e: 2, k: 2, n: 1}. Give prob of sequence nkse.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70280*m**2*p**2 - 2*m**2*p + 99*m**2 + 19*m*p - p**2 - p wrt p?\nAnswer: -140560*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 - 2*c + 2*c + (65*c - 23*c + 95*c)*(-c**2 - 1 + 1).\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 2*h**2 - h + 6. Let b be o(-3). Do 1\/32 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/488*40\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a = 5*v - 43, a + 11 = v. Let n(l) = 3*l + 35. Let z be n(-11). Suppose -z*s = 3*k - 0*s - 577, 0 = -4*s + v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*u**2 - 72*u**2 + 16*u**2 + 15*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184714 is divided by 23023?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 11*q - 3. Let f be z(-12). Suppose -3*c + 18 = -f. Let y = 16 - -9. Calculate the remainder when y is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 36 (b) 0.2 (c) 15.5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1846, 3710, 5546, 7342, 9086, 10766, 12370, 13886?\n\"Answer: -2*h**3 - 2*h**2 + 1884*h - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 213 and 710.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z**3 + z**2 + 5*z - 13. Determine n(3).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 9 + -7 + -3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*-6*-2*sqrt(152))\/(sqrt(128)*-5).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1973 + 1871 - 4*u - 2*u)*(1 - 1 + 3*u).\nAnswer: -18*u**2 - 306*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/14 and 59\/1659?\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43d3 (base 14) to base 13.\nAnswer: -546a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8376 or -58635\/7?\nAnswer: -8376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -u - 15. Let l = u + 28. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7292301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 6:14 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**2 - 5144. Let u(n) = 117*n + 2. Let w(m) = -935*m - 17. Let z(j) = -17*u(j) - 2*w(j). Give z(k(v)).\nAnswer: 238*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -153, -3\/5, -1, 2\/5 in decreasing order.\nAnswer: 2\/5, 0, -3\/5, -1, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(30)\/(4*4*sqrt(10)) + (-2 + sqrt(363))**2*-4 + -1 + 0).\nAnswer: -4407 + 8451*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -18*c + 92. Let b(f) = 7*f - 86. Let a be b(13). Let l be j(a). Factor 3\/2*i**l + 6 - 15\/2*i.\nAnswer: 3*(i - 4)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-350)\/(-15). Suppose i + 11 = l. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/20706 and -103\/24450.\nAnswer: 84376950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n - 0. Suppose r = -n*i + 19, -r - 2*r = -3*i + 33. Let a = i + -2. Solve -4*c + 5*f - 15 = 0, -a*c - 3*f + 10 = 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-12 + -13 - -10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.967\nAnswer: 0.2901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (30\/(-9))\/(2\/(-6)) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 442912\/13 - -9*30\/(-1755). Round y to the nearest one hundred.\nAnswer: 34100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19060608 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9198976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1699159 nanoseconds in seconds?\nAnswer: 0.0000000001699159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 53.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35934 - 6713. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259 + -32. Let o be (3 + x\/(-10))*2. Let z = 3183\/70 + o. What is the common denominator of z and 111\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 plus -249?\nAnswer: -248.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 4. Let a be d(4). Suppose 2*s + 4*t - 14 = -s, 5*t - 18 = -4*s. Find the third derivative of 5*h**5 - h**5 + a*h**2 + 4*h**s wrt h.\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -60772, -60757, -60726, -60673, -60592, -60477, -60322?\n\"Answer: i**3 + 2*i**2 + 2*i - 60777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2 + 8. Let g(p) = -3*p + 31. Let y be g(s). Which is smaller: 2\/165 or y?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {q: 4, m: 2, p: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3870.8*0.5.\nAnswer: -1935.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-99046)\/((-8 - -13) + -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 + 1597. Does 87 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*h - 99*h = 8896 - 1293862. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40.09809 + 40.1. What is u rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-3*g**2 - g**2 + 6*g**2) + 3771587 - 3771602 + 81*g**2 - 419*g**2.\nAnswer: -340*g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 9*h + 153. Let i be -4 + h\/(-4 - -7). Let d = 5 - 6. Put -2, d, i, 11 in descending order.\nAnswer: 11, i, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 times 1261?\nAnswer: 71877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -520422 (base 6) in base 11?\nAnswer: -29306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1100, -1113, -1126, -1139, -1152, -1165?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 2\/21, 432\/91, 6, 30?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 752 (base 8) to base 6.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:53 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 12 - (21 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5756734*f*m*n**3 + 3*f*m*n + 2*m*n**3 + 17982*m - 2*n + 4 wrt f?\nAnswer: 5756734*m*n**3 + 3*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1525 + 21599851.\nAnswer: 21599851.1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 6*j + 14. Let h be i(-2). Is 46533\/(-2)*(-8 + 44\/h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u + 2*l + 535 = 0, -5*l - 342 = -2*u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -63\/4. Let g = 77 - 78. Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**4\/11 - 17*t**3\/11 - 71*t**2\/11 + 113*t\/11 + 840\/11 = 0.\nAnswer: -8, -7, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27 - -2*(-3 - -4). Let d = m + -47. Which is smaller: d or -17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 117*i - 115*i + 17, i - r + 10 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257 - -87. Let t = q + 403. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 + 3*t**2 - 4*t + 2. What is the remainder when -6*(-2 - (-3)\/(-3)) is divided by f(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. Suppose 20 = 4*b - 5*o, 4*o - 5*o = b + f. Solve -5*a = -b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - (sqrt(70)*2 + sqrt(70) - sqrt(70) - sqrt(70))) + sqrt(70))*-5 + sqrt(70))\/sqrt(10) + -5.\nAnswer: -4*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1401+0.14\nAnswer: 1401.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 36*x. Let z(j) = j - 3*j + 2009 - 4018 + 2009. Calculate k(z(d)).\nAnswer: -72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:39 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 2*c**6\/3 + c**5\/4 - 5*c**4\/4 - 127*c + 83. Let u(l) be the first derivative of j(l). Let u(n) = 0. Calculate n.\nAnswer: -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.81134kg in tonnes?\nAnswer: 0.02481134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 802, 9, 2\/5, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 7.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3477 - 5526 = -1709*y - 61982 for y.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -205?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17525, -17887, -18249, -18611, -18973?\n\"Answer: -362*x - 17163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167\/795 or 1?\nAnswer: -167\/795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - 24)*1\/2. Is ((-36)\/(-8) + k)*-2222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 12:39 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11637 or -718?\nAnswer: -718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r + 15 - 15 - 2*r as v*r + f and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/(-231)*140\/(-160).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29 and 9?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2350 and 411720?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-15) - -1)\/((-4)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35 - 49) + 92 - (-3 + 10)) + 0 + -56\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 10166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let x(t) = t**2 + 2 - 2*t - 3 - 3. Let p be x(4). Suppose -3*s - 40 = -5*n, -6 = p*s - 3*n + 40. Let o(w) = 2*w. Calculate s*l(k) + 6*o(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -25*q**2. Let k(r) = -14332*r. Calculate f(k(p)).\nAnswer: -5135155600*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 0.5, -20, 2 in increasing order.\nAnswer: -20, -3, -2, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2 and 700\/16 - 6\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9254713*i**3 - 11125263 wrt i?\nAnswer: 27764139*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n - n - 4*n)*(-n + 0*n - 3*n)*(0*n**2 - 2*n**2 + 0*n**2).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1465720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 588 and 54.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -750828*v**2 - 1676138 with respect to v.\nAnswer: -1501656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314850258.\nAnswer: 2, 3, 17491681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 6407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/5, -2, -0.06, 3, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 38, -3, -0.332, 1, -0.053?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.77 - -7. Round k to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -207 (c) -4.1 (d) 0.2 (e) 0.3 (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(1335 - 1335 - 23*c)*(7*c - 2*c + c).\nAnswer: 138*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22471144?\nAnswer: 2, 17, 165229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -2 (c) 11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 52*l**2 - 159*l + 5. Suppose -4*s - 2*a + 3*a + 168 = 0, 2*s - 4*a - 84 = 0. What is the remainder when k(55) is divided by s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*z = -17548 + 45533. Differentiate 1037 - 31*n - z + 118*n with respect to n.\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*m**3*n + a*m**3 + 5*a*m**2*n**2 + a*m - 64*m**3 + 3*m*n**2 wrt n.\nAnswer: a*m**3 + 10*a*m**2*n + 6*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x - 36. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*y - 277*y - 195 = -3*l, 5*l = 3*y - 139. What is the smallest common multiple of y and 56?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21.22405nm?\nAnswer: 0.000002122405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34\/5 of a microgram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8092277223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:10 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 15 = 12*k. Suppose k*d - 241 = 49. What is the remainder when d is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:16 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 2, n: 5, e: 1, w: 1}. What is prob of picking 1 w and 1 e?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 + 15*m**2 + 51*m - 408. Give k(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:33 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/21)\/(24\/(-36)) + (-94)\/(-70).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*i = -466*i + 44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*v**2 - 7*v**2 + 4*v**3 - 9*v**2 as x*v + r*v**2 + q + m*v**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (7 - (15 + -3 - -4)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -9690491734155.\nAnswer: -9690491734155.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372724491.\nAnswer: 3, 124241497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 529*g**2 + 561*g + 78444. Give y(-265).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**3\/3 + 2. Let u(n) = 4*n + 3. Let o(m) = -m - 1. Let x be -1 - 2\/((-1)\/(-1)). Let y(h) = x*o(h) - u(h). Give y(r(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -40 + (-30 - (-26 + 26 + -29)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*f - 5. Suppose -t + 3 = f. Suppose -3*h = t*h - 95. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 1209*d. Let v(p) = -4*p**2. What is c(v(r))?\nAnswer: -4836*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 2*z**2 - 3*z + 2. Suppose 0 = -2*l - 2*g, -4*g + 4 + 8 = 0. Calculate j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1\/5, -2\/31, 2\/3.\nAnswer: -2\/11, -2\/31, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3775 - -3730. Let v be 2\/6 + 100\/(-84). Which is the third biggest value? (a) m (b) 2\/13 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(11) - sqrt(77)\/sqrt(7)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -3*f**7\/140 + 19*f**6\/80 - 33*f**5\/40 + 9*f**4\/16 + 8*f**2. Suppose s(y) = 0. Calculate y.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (sqrt(26) + sqrt(416)*-1)\/((sqrt(2) + 2*sqrt(2))*-2))*-4*2.\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9132 is divided by 239?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117a00 + 16?\nAnswer: 117a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 4. Let c(p) = 4*p - 4. Give -3*c(n) + 2*m(n).\nAnswer: -4*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -1\/17*w**4 + 2\/85*w**5 + 0*w + 2\/17*w**2 - 23 - 2\/51*w**3. Factor h(b).\nAnswer: 2*b*(b - 2)*(b - 1)*(b + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 660258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 27.5?\nAnswer: -137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*d**5 + 124*d**4 - 106*d**3 + 13076*d**2 + 2*d - 169?\nAnswer: 6060*d**2 + 2976*d - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 287, 290, 293, 296, 299?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 40. Suppose 0 = -u + 5*b + 11, -c*u + 3*b + 121 = -0*u. Let n = u - 21. What is the remainder when 9 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-16) + 1\/2. Let b(f) = -f**3 + 3*f**2 + f + 1. Suppose -20*x + 151 = -149. Calculate the smallest common multiple of b(n) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(36) - sqrt(9)))\/(sqrt(96) - (sqrt(96)*3 - sqrt(96))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101110111 (base 2) in base 9?\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16081\/10 - -1613. Let g(j) = j + 7. Let o be g(-5). Find the common denominator of b and (o\/2)\/(6\/34).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - d**3 + d**3 + (-2*d**3 - d**3 + 2*d**3 + (-4*d**3 - d + d)*(-1 + 2 - 2))*(5*d + 0*d - 2*d).\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 6*s**3 + 3*s**3 + (-10*s**2 + s**2 - 3*s**2)*(-17*s - 24*s + 10*s).\nAnswer: 369*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6 - -24 - 200\/(-60) - (-5)\/3)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/6 + 185*m\/6 - 30.\nAnswer: -5*(m - 36)*(m - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40685 or -40683?\nAnswer: -40683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5700 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(2028\/(-36)))\/(2\/(-78)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*p + 570*p - 191*p - 187*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1127*o. Let k(x) = 4503*x. Determine -9*c(b) + 2*k(b).\nAnswer: -1137*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-17) + -2 + (-12)\/102?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 2c2?\nAnswer: 2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - c)*(2 - 1 - 2).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27853 - 27849. Calculate the highest common factor of h and 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = 4*f - 1, 0 = 2*q - f - 5. Let u be 32 - q\/(-3)*6. Is 3\/4 - (-369)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 - (-3 - -3 - 7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/7)\/((h*(h\/(h*h**9*h))\/h)\/h))**(2\/17) assuming h is positive.\nAnswer: h**(160\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 108*s**2 - 636*s - 5465. Determine i(114).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402623 (base 8) in base 16?\nAnswer: a0593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 11315702*v**3 - 2*v - 11315650*v**3.\nAnswer: 52*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349331406?\nAnswer: 2, 197, 3424699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 85 = 2*u, w - 2*w + 169 = -4*u. Let a be 1\/5 + u\/(-490). Let o be ((-1)\/7)\/((-24)\/42). What is the closest to a in o, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(0 + 0 - 4)*(4 - 4 + x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -353*n + 1249 + 1072*n - 359*n - 358*n in the form y + m*n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-5) + (-78)\/(-30). Solve 4*f + l + 2*l = -4, -j*l + 5 = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1606 - -1611. Solve -s*q - 7*m + 10*m - 6 = 0, 0 = -4*m + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j + 22826 - 10*j - 22847 as a + q*j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 34, 0.1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 6. Let a be k(-6). Factor 6 - a*m**3 + 15*m**3 - 3*m**4 + 3*m**2 - 6*m**2 + 9*m.\nAnswer: -3*(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 602706 (base 8) in base 3?\nAnswer: 101001201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.122, 0.3, 0.00682893, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 438961.7 minutes in seconds?\nAnswer: 26337702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29240 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/7410 and (3\/(-20))\/(37168\/1960 - 19).\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 15*l**2 + 13*l + 10. Suppose 55 - 7 = 4*v. Suppose -v*o + 15*o = 42. Determine r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*w - 4, 0 = -w - k - k - 7. Let q be (5 - 4) + (1 + -2)\/w. What is the third derivative of 4*t**3 + t**2 + q*t**3 + 20*t**3 + 11*t**3 wrt t?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314561801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = h - 2. Suppose -h*q + 7*q = 0. Solve q = 6*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.103901*-92\nAnswer: 9.558892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 2*z - 5. Let m be 2\/(32\/(-84))*-4*1. Let s = m - 23. Let p(g) = g**2 - 2*g + 4. Calculate s*y(u) - 3*p(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Let h be 3\/6 - 303\/(-6). Let t(d) = -h*d + 51*d + 5*d**2. Give t(x(j)).\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -y - 34, z - 24 = 3*z - 3*y for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*(-2 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3375163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 64*y + 32. Let h be a(-2). Let c = -107 - h. Sort 5, c, 0, -1.\nAnswer: c, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-15)\/i*i*i)**(-29)\/(i**(-1\/10)*i**(-2)*i) assuming i is positive.\nAnswer: i**(3781\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24224 - 24229. Let g = 3 + -2. Which is the smallest value? (a) -0.3 (b) g (c) 2\/17 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t**3 + 13*t**2 + 8*t + 15. Let y(x) = 4*x**3 - 4*x**2 - 3*x - 5. Let z(f) = 3*b(f) + 8*y(f). What is z(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 5699\nAnswer: -2279.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12187166.\nAnswer: 2, 67, 103, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320121 (base 4) in base 11?\nAnswer: -5875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3 = 5*w, 0 = 2*w - 5*w - 5*i - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 147\/12233 or -1?\nAnswer: 147\/12233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:24 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.959627 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**3 - 2*s**3 + 6 - 17 + 12 + 11*s**2 in the form i*s + q*s**3 + j + a*s**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23*(-2)\/(-14) - 2\/7. Suppose -v*t + 4581 = -7386. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(3\/3))\/(-2). Suppose 3*u - 30 + 12 = w, 18 = 3*u - 5*w. Suppose a = -x + 10 - u. Solve -4 = x*c, i - 2*c - 4 = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -13*r**2 - 571*r + 99. Calculate the remainder when 1074 is divided by g(-44).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966.182 weeks in nanoseconds?\nAnswer: 3003546873600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - y**2 - 2*y**2 + y - 3*y. Let u be o(-3). Let f = u + 77. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**5\/300 + 8*a**4\/15 - 61*a**3\/10 - 7*a**2 + 186*a. Factor o(y).\nAnswer: -(y - 61)*(y - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*(2 + (1*sqrt(76) - sqrt(76)) - sqrt(76)) + (1*sqrt(171) - sqrt(2736)*-1))**2.\nAnswer: -506*sqrt(19) + 10172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 0, -1\/6, 3, 0.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1089 and 81873.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v**2 + 39*v + 4. Calculate j(8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11375*q*r + 5192521*q - 72*r wrt r.\nAnswer: 11375*q - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 3*s**2 + 8*s - 1. Let t(i) = -i**3 - i + 1. Let r(u) = h(u) + 4*t(u). Let p be r(4). Sort -4, p, 2.\nAnswer: -4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 546 or 55362?\nAnswer: 55362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.041 + -1.96. Let g = c + -0.581. What is the smallest value in g, 1, -0.05?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122978394 by 11.\nAnswer: 11179854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(8\/64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*n = 159*n - 47239 + 1002683. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 3302436.\nAnswer: 3302436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*d = -140*d + 2*t + 128, -32 = -3*d - 2*t. What is the highest common factor of 47024 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.92 + -1.9. Is o bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/9? (a) 0 (b) 147 (c) -1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 993, 992, 991, 990, 989?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 divided by -6?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 149*w - 150*w - 25710. Let m = -5910 - w. Round m to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -36*x + 57. Let i(z) = -z**3 + 9*z**2 - 18. Let u be i(9). Let j(p) = 9*p - 14. Let w(o) = u*j(o) - 4*b(o). Differentiate w(k) wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376*g + 39521 = 3733*g + 9324*g - 1245389 for g.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - sqrt(90)*-1*-6)\/(sqrt(10) - sqrt(1000)*-2))\/((sqrt(189)*2)\/(1*sqrt(7)*5)).\nAnswer: -25*sqrt(3)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 + -181*252\/((-33)\/11). Calculate the highest common factor of 85 and x.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -9. Let o be 7\/((-14)\/396) + -2 + 0. Let t = o - -201. Put 4, -3, n, t in decreasing order.\nAnswer: n, 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 31 - (0 + 1)\/(-1). Let t(j) = 2*j - 11. Let h be t(-6). Let a = f + h. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -110*l - 182 - 38 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 15 = 87 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p + 12*p + 9*p + 4*p + 13*p**2 wrt p.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(21)*-2)\/sqrt(7) + sqrt(21)\/(sqrt(7)*-2 - sqrt(7)) + sqrt(15)\/sqrt(5)*6*6) + 0)**2 + -2 + -2.\nAnswer: 255013\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 1)*(-o + 3*o**2 + o).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/10 - 2)*-1. What is the closest to 2\/13 in z, -0.4, 95, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5600\/2280 - (-8)\/(-18) - 2. Which is the fourth biggest value? (a) x (b) 5 (c) -5 (d) -0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 138*q**2 - 1409*q - 4998. Determine a(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 9}. What is prob of picking 2 g?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, k: 1, v: 1, t: 3, c: 2}. What is prob of picking 1 v and 1 k?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*a**2*h**2 - 7*a**2 - a*h**3 - h**3 - 3*h - 12 wrt h?\nAnswer: -120*a**2 - 6*a*h - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 12 = p, w + 14 = 3*p - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15215 smaller than -0.10439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 664798 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1564)\/(-85) + 54\/(-3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284003417 and 2253?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115.63735 + -53.63368. Let w = 61.865 - -0.135. Let m = w - k. Round m to four dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1296927 + 1296929. Suppose -s**q - 1\/6*s**3 - 4\/3 - 2*s = 0. What is s?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 549103213 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 13) to base 5.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 17. Let y be n(-10). Calculate the greatest common divisor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -73, -148, -253, -394?\nAnswer: -577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 11. Solve -3*g - d = -0*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(7) + 5.\nAnswer: -2*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6555 + 6555 + 17*a)*(-2*a**2 + 3 + 2*a**2 + 2*a**2).\nAnswer: 34*a**3 + 51*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248640 by -5.\nAnswer: -49728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(17))**2 + -1 - sqrt(153)*-2)*3 + -4 + ((1 + sqrt(2057) - sqrt(2057)) + sqrt(17) - (sqrt(153)*1 - sqrt(153))).\nAnswer: 19*sqrt(17) + 1269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67315 + 3*t**3 + 3*t**3 - 25*t**2 - 67275 - 4*t**3.\nAnswer: 2*t**3 - 25*t**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*((sqrt(11) - (-2*sqrt(77))\/sqrt(7))*-5)**2 + 1) + 0.\nAnswer: 19804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31975 - 31974.97. Which is the fourth smallest value? (a) i (b) 2\/9 (c) -15 (d) -1\/5 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58, -212, -460, -796, -1214?\n\"Answer: v**3 - 53*v**2 - 2*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*m**3*u**2 - 106*m**3 + 563*m**2 + u**2 wrt m?\nAnswer: 48*u**2 - 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2057))**2 - (2 + sqrt(1377) + sqrt(17)))*3 + ((-6*-1*sqrt(51))\/(sqrt(3) - ((sqrt(12) - (sqrt(12) - sqrt(108)))\/sqrt(4) + sqrt(3))))**2.\nAnswer: 102*sqrt(17) + 6245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 5*c - 2. Let v be o(-5). Suppose 2*z + 4*l = 2*l + 10, 5*z = -3*l + 15. Let m be (v\/(-4))\/(-1)*z. Solve m - 2 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4738 = 126*t - 124*t. List the prime factors of t.\nAnswer: 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3 + (-10)\/6. Let p = l + -26. Let t = 43 + p. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2 + 22400*m + 22404 = 0. What is m?\nAnswer: -1, 5601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/3 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287258589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*w - 101, -4*b + 82 - 25 = w. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/31 + 49\/124. Let n be (-4 - (0 - 1)) + 1. What is the closest to 0.1 in n, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2 + 1*(-2 + (sqrt(90)*-2)\/sqrt(2)))**2.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + -4 + (2 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -2*x + 0 - 1\/3*x**3 - 3\/2*x**2. Differentiate z(k) with respect to k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 23050887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32930)\/(-356) - (-13)\/(-2). Solve -11*i + 9 = k for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299281866 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 5. Suppose -s = -3, -4*y + 6*s = s - 13. Let u be p(y). Let w(b) = b**2 + b**3 - 7*b**2 + 2*b**2 + 2 - 2*b. Calculate w(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 2*l**3 - 49. Let c(q) be the third derivative of 23*q**5\/60 - 29*q**2 + 3*q. Calculate c(w(r)).\nAnswer: 828*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 131381.1 minutes?\nAnswer: 91.236875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1062 and -38\/166911.\nAnswer: 1001466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b8 + -5?\nAnswer: 1b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 - (-7 + (-5 - 25 - 37)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 271932070505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*a**3 - 63*a**3 - 68*a**3.\nAnswer: -27*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 3*m**2 - 4*m + 6. Let f be h(4). Suppose f*a + 5 = 7*a. Solve -5*c - 8 = -a*g - 33, g + 5 = -2*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 96956608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 22 - 52. Calculate the smallest common multiple of 24 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -60*s**2 + 48*s + 12. Let g(x) = -61*x**2 + 49*x + 10. Let a(p) = -5*d(p) + 6*g(p). What is the second derivative of a(h) wrt h?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:01 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-25 - -50 - 18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvyy when four letters picked without replacement from {y: 3, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -639970, -1279882, -1919794, -2559706?\n\"Answer: -639912*j - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -37, -91, -167, -265, -385?\n\"Answer: -11*v**2 + v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714499?\nAnswer: 1714499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2169 - 2205 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6614829 and -8?\nAnswer: 6614821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -275, -548, -821, -1094, -1367?\n\"Answer: -273*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:56 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 + 190. Calculate the remainder when y is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 56 = 3*w - 41, w + 1 = 0. Let h(y) be the third derivative of -1\/6*y**3 - 2*y**2 - 7\/8*y**i + 0*y + 0. What is the first derivative of h(j) wrt j?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/108 and 91\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -8, 0*q - 2*q - 12 = -4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**2 + 150*w + 131. What is b(31)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3\/4 (b) 7\/3 (c) -3\/7 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170661 - 3?\nAnswer: -170664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27 - 0 - (-20 - -18). Let f = -88\/3 + q. What is the second smallest value in -3, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/663 + -665\/1326. Let o = 0.6 - 0.3. Suppose -p + 2 = -2*p. Which is the nearest to y? (a) -5 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1555853 + -1?\nAnswer: 1555852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*k**4 + c*k**2 - 148*c*k - 287*c + 4222*k**4 + 80*k**3 - k**2 + 2 wrt k?\nAnswer: -24*c*k + 101328*k + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4992 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-6)\/(sqrt(80)\/sqrt(10)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 1. Solve 0 = y + y - u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 73 = 5*v, 1 = -v + 2. Let t be (1 - 23)*(-3)\/6. Suppose i - 3*r = t, -4*i + 2*r + 56 = 12. What is the remainder when c is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1256, -3141, -5026, -6911, -8796?\n\"Answer: -1885*f + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)*s\/s**10*s**(-1\/5)*s*s*s\/(s\/s**(-5)) assuming s is positive.\nAnswer: s**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/7)*t*t*t\/(t*t**(-22)\/t))\/(t**3*((t*t*t*(t*t**(-19))\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e3c (base 15) in base 13?\nAnswer: -2cc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144.731 + -0.731. Let s = 143.9999003 - f. Round s to 6 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -49*x**6\/6 + 2875*x**4\/12 - 1762*x**2. What is the second derivative of v(s) wrt s?\nAnswer: -5880*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 549*s*u + 2022*u wrt s?\nAnswer: 549*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/m)**(-1\/37)*m\/(m*m**(-2\/11)\/m*m)*m\/(m*(m\/m**(-3\/7))\/m) assuming m is positive.\nAnswer: m**(-19\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**2\/2 + r + 285. Suppose -5*n + 9 = -1. Let z = -1 - n. Determine t(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (3 + -6 + 2). Sort v, 2\/17, 2\/13.\nAnswer: v, 2\/17, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 70 - 72 - (-86 - (0 + 3)). Put 1, -4, m, 0, -3 in decreasing order.\nAnswer: m, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205 and 33055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/11)*i)\/i)\/(i\/(i\/((i**(-1)\/i)\/i)))*i**0\/(i**(-6)\/i))\/(i\/i**(-2\/37)*i**(7\/5))**(-2\/7) assuming i is positive.\nAnswer: i**(151143\/14245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i - 6. Let n be a(-5). Let h be (n\/5)\/(70\/25). What is the closest to 2 in h, -2\/19, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*o - 2 + 2 = 203*o. Solve -3*x + 7*l - 5*l = 1, -l + 5 = o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 21, 1, -2, -17.\nAnswer: -17, -2, 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 6*i - 7. Let q be r(7). Suppose -s + q*s + 1 = 0. Let u be s\/((6\/(-20))\/(-3)). What is the highest common factor of u and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:16 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 0*x + 1\/2*x**2 + 8. Let o(n) = 6*n. Calculate -o(l) + 3*s(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + l**2 - 5. Let s be a(0). Let b = s - -5. Solve 2*g + 2*g = b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**6\/9 + 4*n**5\/15 - n**4 - 40*n**3\/9 - 19*n**2\/3 - 4*n + 164. Suppose f(c) = 0. Calculate c.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z + 4. Let v = -3 - 11. Let n = 33 - v. Let d = n + -50. Determine h(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(75)*-1)**2 - (sqrt(189)*3 + sqrt(21))\/sqrt(7).\nAnswer: 20*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -2 + 0*w**5 + w**3 + 0*w**2 + 0*w + 4\/7*w**7 + 0*w**6 + 0*w**4. What is the third derivative of s(v) wrt v?\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11765\/4246 - 53\/193. Suppose 36 = f + 5*r, -5*f + 4*r + 241 = -26. What is the common denominator of f\/9*(-6)\/4 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -21*k**4\/4 - k**3\/3 - k**2 - k - 876. Let o(v) = -2*v**2 + 2*v - 1. Let c be o(1). What is the units digit of z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w**2 - 30*w**2 - 12*w + 15*w**2. Let o(d) = d. Determine o(z(f)).\nAnswer: -f**2 - 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {x: 1, z: 1, l: 1, k: 1, j: 1, w: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*z**3 - 49936*z**2 + 9387540*z - 3123632 = 0. Calculate z.\nAnswer: 1\/3, 197, 3964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10870174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 11786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 1 + 6*l**2 - 2*l + 2*l**3 + 11*l**2 - 2*l**4 - 21*l**2 to the form d + s*l + w*l**4 + v*l**3 + u*l**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-6 - 6) + (-3 - -7)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46852.02 * 0.7.\nAnswer: -32796.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 9*j**2 + 21*j + 11. Let h = 109 - 65. Suppose -2*f + h = -0*f. What is the lowest common multiple of y(-11) and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**4\/6 - 91*i**2. Let o(l) = -3*l - 1. Suppose -b - 2 = 3. Let y(x) = b*o(x) + 4*d(x). Differentiate y(q) wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**3 - 9*c**2 + c**2 + 4*c**3 - c**2 to the form w*c**2 + i*c**3 + u*c + d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x + 1 + 0*x + x)*(-68831*x**2 + 139809*x**2 - 70136*x**2) to the form a + n*x**3 + z*x + b*x**2 and give n.\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30040 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 - 6*c. Let i(a) = -a. Let p be (-2 - -1)\/1*1. Let j(l) = p*f(l) + 5*i(l). Factor j(z).\nAnswer: z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 57 (b) 1\/8 (c) 34\/11 (d) -0.3 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, k: 4, b: 9}. Give prob of picking 2 k and 1 r.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + -132 + 30 - -33?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 9*p - 1 + 4*p - 5*p**2 - 2. What is the units digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + 4 + 0 + 1 + sqrt(98) + -2 + 1*sqrt(98) + -5 + -2)**2.\nAnswer: -28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y - 65. Let q(x) = -22*x - 4. Let v(s) = 26*s + 1. Let a(f) = -7*q(f) - 6*v(f). Determine 7*a(g) + 2*n(g).\nAnswer: -2*g + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -776*6.81373.\nAnswer: -5287.45448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1571657 (base 9) to base 3.\nAnswer: 1122101201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:01 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = 28 - 156 - 192 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + m**2 + m - 3. Let b be h(-2). Is (-21)\/b*(-330 + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let v(s) = -2*s**3 - 3*s**2 - 4*s - 3. Let p be v(-2). Suppose 3*n + 6 = -3*h, -5*h - 31 + p = 2*n. Give f(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 10*t - 19*t)*(-218*t**2 + 218*t**2 + 30*t**3).\nAnswer: -570*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -63*n**2 + 5*n. Let d(a) = a. Let o(z) = 5*d(z) - g(z). Let k(r) be the first derivative of -6*r**3 - 5. Let s(q) = 18*k(q) + 5*o(q). Determine s(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 13. Suppose -2*r + 4*h + 0*h = -124, p*r - 236 = 2*h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4992)\/195)\/((-784)\/1470)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3118080 = 25380*x - 25436*x. Is 126 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609761 is divided by 1163.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275058.\nAnswer: 2, 3, 7, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 145, -44, -221, -380, -515, -620, -689, -716?\n\"Answer: d**3 - 196*d + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwgggsggyggwvggg. Give prob of picking 2 v and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11929, -11942, -11941, -11920, -11873, -11794?\nAnswer: -11677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1672 + -2700746?\nAnswer: -2677054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 2*y**3 + 0*y + 3*y + 5*y**2 in the form r*y + j + m*y**2 + q*y**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -28\/24021 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 12119504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x - 102*x + 47*x + 24*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17784*m - 35562*m + 17780*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 39*g - 3. Let v = -123 + 111. Does 10 divide l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 8 = -5*i, 4*i - 3*t = 5 - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -117680, -470730, -1059152, -1882946, -2942112?\n\"Answer: -117686*v**2 + 8*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = -2*u + 4*g, -u - 1 = -3*g. Suppose -w = 4, u*y - 237 = 4*y - w. What is the remainder when y is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5914118 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6 = 4*w, -3*c - 6 = 5*w + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 2. Let k be y(-3). Calculate the greatest common factor of k and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 - -11)*39\/3. Suppose 80 = 18*v - d*v. Calculate the least common multiple of v and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - z = -f - 11, 2*f - 5*z = -30 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-20)\/(-15))\/(1\/3) and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n**17 assuming n is positive.\nAnswer: n**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40770, -81531, -122292?\nAnswer: -163053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpwpmxpxmxxxkx. What is prob of sequence pkw?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3437365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 2\/3*m**3 - 19 + 50*m + 10*m**2. Factor x(q).\nAnswer: 2*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 303045, 606118, 909191?\n\"Answer: 303073*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = -w. Let u(y) = -19*y**3 - 2*y + 1. Let v be u(w). Is 6\/(-15) - 328\/v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -698.161 and 0?\nAnswer: 698.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 16 = -2*l + 3*o, -5*l = o - 6. Suppose l*c = -7 + 9. Which is bigger: 2\/15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -83, -168, -253?\n\"Answer: -85*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2\/2 + 145*l\/2 + 195 = 0. Calculate l.\nAnswer: -26, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hjjjmhhhhjhhjkhqhhj. What is prob of picking 1 m, 2 j, and 1 k?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -528 by -6.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 4*m + 100. Let i = -49 + 25. Let n = i + 34. What is the remainder when m is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let n(s) = -48*s**2 + 42*s - 7. What is n(o(k))?\nAnswer: -48*k**2 - 42*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*k*z**4 - 2*k*z**2 + 1483*k*z - 292088*k with respect to z.\nAnswer: -76*k*z**3 - 4*k*z + 1483*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0 - -9 - 14) + (4 - -26).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from jibj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/14 + 96\/168. Let k be (-1 + 4)*(-3 - -2). Let r(x) = 2*x**3 - 2*x + 5. Let h be r(0). Sort h, n, k.\nAnswer: k, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*m**5 + 13*m**5 + 7*m - 2*m wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - -105. Suppose t - 19883 = -5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*n = -2, -5*s - 18 = -0*s + 4*n. Let u(y) = 15*y**2 + 8*y - 36. Let v(b) = 11*b**2 + 6*b - 26. Let d(k) = 8*u(k) - 11*v(k). Determine d(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**4\/4 + 2*f**3\/3 - f**2 + 6*f. Let x(g) = g**2 - 4*g - 3. Let d be x(5). Determine m(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*u*y**2 + 109*u*y - 16118*u + 2 wrt y.\nAnswer: -18*u*y + 109*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513 = -11*j - 458 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441239 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21891943*f**3 + 8505594*f**3 - 2908931*f**3.\nAnswer: 27488606*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.86 - 5.1. Let p = -3.18 + w. Let l = p + 1.420138. Round l to 5 dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-35\/2)\/(u**(1\/7)\/(u\/u**(-1))) assuming u is positive.\nAnswer: u**(271\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-4*i + 12 - 5*i - i) - 14 - 12*i + 14.\nAnswer: -32*i + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179360.\nAnswer: 2, 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/4, 4.9, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1068 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1) + 36\/(-54)*54\/(-4). Which is the biggest value? (a) g (b) 3 (c) 1\/2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -12.\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + y + 6. What is s(-4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 7*g**2 - 8*g - 6. Let c be r(-6). Let o = 1 + 3. Let k(q) = -2*q + 8. Let x be k(o). Solve x = 2*l - c - 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -31900, -1, -0.3 in descending order.\nAnswer: 2, -0.3, -1, -5, -31900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 4. Suppose 0 = -j + p*j. Suppose 2*x = -2*v - 2, 3*x + j*v - 3*v = 21. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2)*h\/(h\/(h*h**4*h)))\/(((h\/(h\/((h\/(h*h**(-8)))\/h)))\/h)\/(h*h**2)))**(-43) assuming h is positive.\nAnswer: h**(-215\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let j(f) = f - 1. Let m be j(o). Suppose -222 + 60 = -m*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5717505.\nAnswer: -1\/5717505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 7*h + 9*g + 122, 28 = -2*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729 = -16*i - 85*i + 2173 - 579 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 9*w**2 - 21*w**3 + 17*w**3 - 11*w. Let h(g) = -g**3 - 2*g**2 - 2*g. What is -18*h(n) + 4*v(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-120)\/(-126))\/((-14)\/(-49))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*t**4 - 2994971*c*t**3 + 5*c*t**2 + 114701463*c - 13*t**4 wrt t?\nAnswer: 24*c*t - 17969826*c - 312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 7*q - 2*q - 3*x, 5*q - 23 = 2*x. Suppose -q*h + 6 = -0*h. Suppose -5*g + 10 = -0*g. Calculate the greatest common divisor of g and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -67*h**6\/6 + 5*h**3 + 7*h**2\/2 + 386. Find the third derivative of f(c) wrt c.\nAnswer: -4020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-779 + 17)*(-78)\/13.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*z**2 + 0*z**3 - 11*z**2 - 36*z**2 + 4*z**3 - 3*z**3 + 42*z**4 wrt z?\nAnswer: 1008*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqqqi. Give prob of picking 1 q and 1 i.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329672 is divided by 388276.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x + 31 - 20 - 15. Let j be o(-1). Suppose 5*f = 0, j*h + 5*f - 19 = 169. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5567470.\nAnswer: 2, 5, 61, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-173)\/(-3633))\/((-30)\/(-378))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - -2. Suppose -3*v + 4*s + 6 + 0 = 0, 3*s - 8 = -4*v. Suppose -5*m = -x + w, -2*m + 20 = v*m. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.6 - 32. Let k = 0.991 + 0.009. Which is the fourth smallest value? (a) -0.5 (b) 3 (c) k (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (444\/(-7326))\/((-4)\/18)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 2. Let r(q) = q**3 - 11*q**2 - 2*q + 7. Let j be r(11). Let b = j + 12. Determine c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*-3*(sqrt(1100) - (-2*sqrt(1100)*-4 - sqrt(1100))))**2.\nAnswer: 9000*sqrt(11) + 8910025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 8*w**2 - 13*w + 8. Let q(x) = -x**2 - x - 1. Let u(o) = 3*q(o) - y(o). Let a = 49 - -1. What is the remainder when a is divided by u(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3195 + 209*g**3 + 3195.\nAnswer: 209*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b - 340*b**2 - 90*b**3 + 8*b + 340*b**2 as t*b + q + z*b**3 + y*b**2 and give z.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 4*u = 6, 4*v = 4*u + 13 - 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48474813 to the nearest integer?\nAnswer: 6962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417552759.\nAnswer: 7, 47, 4308671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 6*z + 5 = 0, 8 = -3*i - 4*z. Suppose 6*s - s - 1081 = i*h, -4*h = 16. What is the greatest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-810)\/(-30))\/243)\/(1\/(-5)*(-15)\/1647)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*z + 2271 + 2878 = -11735 for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x + 8. Let n(r) = 11*r - 15. Determine 5*j(h) + 3*n(h).\nAnswer: 3*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-18395)\/(-114049))\/((-7)\/(-5859))\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 3*m**2 + 7*m - 7. Let d be u(4). Let x = d - 6. Let w(i) = 9*i**2 + 2. List the prime factors of w(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 11:59 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 21*a**6\/10 - 29*a**4\/12 - a**2\/2 + 5*a + 5. What is the third derivative of v(d) wrt d?\nAnswer: 1512*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/8 - 134461*t\/8 + 1681075\/4 = 0. Calculate t.\nAnswer: -134486, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 + 3*k**2 + 8*k - 5. Let s(v) = 2*v - 2. Let p be s(-4). Let r be (1\/2)\/(p\/(-100)). Is o(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 9*h + 3. Let u be t(-9). Suppose -u*s = 2*s - 45. Let c = -7 + s. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277 + 282. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*x + 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 2*r - 2*r + (1 + 3 - 7)*(-51 - 9*r + 51).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1379189, -1379184, -1379179, -1379174?\nAnswer: -1379169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13653, 13226, 12787, 12330, 11849, 11338?\n\"Answer: -z**3 - 420*z + 14074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31943 (base 13) in base 7?\nAnswer: -521543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 19*g = 4*x + 60, -3*g - 5*x = -2*x - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3042341 (base 5) to base 13.\nAnswer: 19829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1.2, 3\/2, 9, 6\/65?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293633842?\nAnswer: 2, 43, 103, 33149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 152+-2218369950\nAnswer: -2218369798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**3 - 507320*l**2 + 1014605*l + 1521930 = 0?\nAnswer: -1, 3, 101462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/8 and 39\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50042 and 2228588.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 511529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*s + 604, 38*s - 218 = -t + 36*s. What is the highest common divisor of t and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o + 42. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -450*s**3 + 451*s**3 - 2*s**2 + s**4 - s + s**2.\nAnswer: s*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4362003 and 18376?\nAnswer: 2297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075387205.\nAnswer: 5, 509, 422549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*r**2 + 72*r**2 + 0*r - 17*r**2 + 2*r in the form k*r**2 + u*r + b and give k.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30498 and 276.\nAnswer: 60996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.5066 - -48.511. Let o = 42 - 51. Let j = o + i. What is j rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 8 (c) -53.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -1 + -2 + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 11*l = -15. Suppose -3*g + 6 = -0*q + l*q, -3*q = g + 4. Let p(m) = -m**3 + 5*m**2 + 4*m + 4. What is the tens digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -4. Solve -25*g**2 - 3*g**3 - 22*g**2 + g**u + 49*g**2 = 0 for g.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 72*f**2 - 121*f - 431. What is z(-4)?\nAnswer: 1205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349431.\nAnswer: 3, 269, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3 + (-32 - -1141) - 0. What is the highest common divisor of r and 237?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22*y**3 + 9*y**2 + 20. Let q(t) = -11*t**3 + 4*t**2 + 10. Let c(u) = -9*q(u) + 4*x(u). Differentiate c(b) with respect to b.\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + x + 75 = 9, -2*d + 44 = 2*x. Let c = -25 - -45. Suppose c = 7*n - 2*n. What is the smallest common multiple of d and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 105. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 7. Suppose 5 + 30 = -5*t. Let i be m(t). Suppose -d - i = -3*d. Calculate the least common multiple of d and 11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -162. Find the common denominator of -49 and (-2)\/(d\/33) - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(11178\/(-4374))\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:55 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19471671 and 24.\nAnswer: 155773368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738 <= 28683\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 663 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**3 - v**2 + 2*v. Let s = -14 - -11. Let m(j) = -6*j**3 + 3*j. Let d(u) = s*x(u) + 2*m(u). Find the third derivative of d(o) wrt o.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024) - 2*sqrt(3024)*1)\/(-4*(sqrt(35)\/sqrt(5) + sqrt(7))*-3))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 8, d: 4}. Give prob of sequence id.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1694134551 to the nearest integer?\nAnswer: 41160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 4*x = -263 - 127. What is the least common multiple of 1417 and x?\nAnswer: 8502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*l + 3, 2*l + 20 = 3*b - 17. Let h = b + 19. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-4 - 1 - (-13 - (-6 - -3)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10030*f**3 + 66 + 10026*f**3 - 2 to the form u + q*f + g*f**2 + n*f**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2 + 5*f - 175. Let d(j) = j**2 - j + 44. Let l(u) = -4*d(u) - t(u). Let m(a) = 8*a**2 - 8*a - 2. Determine 6*l(q) - m(q).\nAnswer: -2*q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*m**3*o**2 - 37*m**3*o + 31*m**3 - m**2*o**2 + m**2*o - 1782*m**2 + 4*o**2 wrt m?\nAnswer: -42*o**2 - 222*o + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 6652891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -38163542266.\nAnswer: -38163542262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {g: 1, r: 3, y: 5, o: 5, i: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m - 3*t - 101 + 59, 3*m + 4*t + 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -196*r + 558. Determine p(3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2012.3 + -2116. Let r = t + 108. Round r to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-20)\/(-5))\/4*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v + 101*v + v)*(2 - 2 + 1) to h + u*v and give u.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 7*o - 2. What is j(9)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385120009 to the nearest integer?\nAnswer: 19624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**3 + 8*t**3 + t**3 - 2*t**4)*(124*t + 14212 - 14212 - 2 + 2 - 2*t - t - t + 3*t + (2*t + 1 - 1)*(5 - 1 - 2) + 3*t - t - 4*t).\nAnswer: -250*t**5 + 250*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 20\/9 (b) 0.1 (c) 1\/7 (d) 4 (e) 0.02 (f) -3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170 or 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t - 4. Let h(j) = -j + 1. Let g be h(8). Let a be f(g). Let m = a + -10. Solve m = -0*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5215*k**3*r + 1203*k**3 - 9*k**2 + 5228460*r wrt k?\nAnswer: 31290*r + 7218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -606.\nAnswer: 5\/606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11979, 23593, 35203, 46809, 58411?\nAnswer: 70009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/6)\/((-2 + -2)\/20044) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u**(-1)*u)\/u*u*u*u)**12*u**7*u**7\/u)\/((u**5\/(u**9\/u))\/(u\/((u*u**(-2\/5))\/u))**(-1\/26)) assuming u is positive.\nAnswer: u**(9873\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -16?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 812778 or 1\/2?\nAnswer: 812778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:34 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10652 - 5055. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2, -308, 28, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -2*y**5\/5 - y**4\/12 - y**3\/6 + y**2\/2 + 12*y - 21. Determine u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 0 + sqrt(2448))**2 + -5 + sqrt(68)\/sqrt(4).\nAnswer: sqrt(17) + 9787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 583514411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49075567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*k = 8505, 5*i - 4*k - 2898 - 5589 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, and 1 m when three letters picked without replacement from zzdsqqmdn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 93 = -101 + 32 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/22)\/(1\/10) + 6. Let m(a) = -1 + a + 6 - 4*a. Let c(s) = 1. Calculate b*m(p) - 4*c(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuucuuuuuuuuuuuu. Give prob of picking 2 u.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*f - 8*k + 10, -4*f - k = -17. Solve -4*p + 29 = 5*t - 3*p, f*p - 11 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*j = 12. Let k = j + -3. Suppose -i = -5*f, -3*i + 2 = -2*i - k*f. Solve i*h + 4*w = -1 - 12, 2*h + 8 = -3*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f = 1 - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4958315040 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1087*m**2 + 260*m. Let c(f) = 56*f. Calculate c(v(k)).\nAnswer: -60872*k**2 + 14560*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4383 a factor of 1206411984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 447555300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {z: 2, g: 13, a: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**2 - q + 6. Let z(b) = -5*b**3 + 4*b + 5. Let u be z(-1). Let g(c) = -14*c**2 + 2*c - 17. Give u*g(a) + 17*m(a).\nAnswer: a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665953916.\nAnswer: 2, 103, 167, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17671.\nAnswer: 41, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, e: 2, j: 1, u: 1, l: 1}. What is prob of sequence lebj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114 + -13214?\nAnswer: -13332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.6 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/9*((-18)\/(-63))\/((-70)\/(-147)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + (2 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2388409 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*m - 5*m + 31, 4*b = -8. Let v = m + -9. What is the closest to v in -4, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/56 and -19\/167932780.\nAnswer: 2351058920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*i = -692 - 816. Suppose 0*b = -5*t + 3*b - 157, 0 = -3*b + 12. Let y = t + i. Solve m - 5*m + 20 = y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 57. Suppose -113*f = -104*f - y. Solve t = -f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p - 17. Let k(n) = 4*n - 8. Suppose 89 = 7*i + 47. Give i*r(x) - 13*k(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4\/7, 0.3, 1\/4, 69?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309.3 - 308.3. Put -21, -1, g, -2\/5 in decreasing order.\nAnswer: g, -2\/5, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/13 + 17\/26. Let h = -4007 - -4440.6. Let q = 434 - h. What is the second smallest value in -0.1, q, 5\/4, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -597*w - 30. Let q(l) = 150*l + 7. Calculate 2*p(g) + 9*q(g).\nAnswer: 156*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20367 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157 and 944871.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = 0. Let w(n) = -n**2 - 8*n + 12. Let c be w(-9). Find h such that z*h**3 + 10*h**3 - 8*h**c - 2*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-81))\/(((-2)\/(-6))\/((-30)\/(-20)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1553567*u**3 - 2*u**2 - 47968467 wrt u.\nAnswer: 9321402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 14*c**5 + 6*c**5 + (2*c**5 - 3 + 3)*(-3 - 2 + 3) - 6*c**5 - 3*c**5 + 35*c**4 - 34*c**4.\nAnswer: 8*c**5 + c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 41*g**3\/3 - 195*g**2\/2 - 185. What is the second derivative of t(d) wrt d?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) -0.2 (d) -1\/11 (e) 0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1028, 2057, 3098, 4157, 5240, 6353?\nAnswer: 7502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*x + 2442, 5*t - 2*t - x + 7331 = 0. Is 12 a factor of (-6)\/4*t\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, u: 1, m: 1, l: 1, q: 1}. Give prob of sequence qluh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -128*q**2 - 236*q - 3. Give n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4042925 by -9.\nAnswer: 4042925\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 3)*(1 - 6 + 3)*(-3*n + 5*n + 11*n) as f*n + g and give f.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81216828 is divided by 248?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**3 - 2*h**2 + 3*h. Let m be r(2). Let a = m + -30. What is the derivative of a*y - 13 - 117*y**3 + 104*y**3 + 0*y wrt y?\nAnswer: -39*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5)*f\/(f\/(f**(3\/5)*f*f)))\/((f\/f**(1\/3))\/f)**(1\/20)*((f*f**(-2\/7)*f)**(3\/35))**36 assuming f is positive.\nAnswer: f**(27361\/2940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 0.244?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 126*i + 7. Determine m(-2).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 53690 = -5*k + 53738, -2*w = -13*k + 37*k - 176 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 9\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 0 = 5*z + 11, -5 = -5*z. Let c be (-42)\/(1 - (-1 + i)). Calculate the greatest common factor of c and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -17. Solve 4*h - 41 = -6*c + c, 0 = -4*h + v*c + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1257*w - 90*w**3 - 234*w**3 - 4200*w**2 + 32928 - 8533*w - 8*w**4 - 7620*w.\nAnswer: -4*(w + 14)**3*(2*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*a - 4*j, 2*a - j + 2 = a. Let k(w) = w**3 - 3*w**2 + 6. Let m be k(3). Let p(n) = -3*n**2 + 3*n**2 + a + m*n + n**2. Calculate p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -10, -9, -18, -43, -90, -165?\n\"Answer: -c**3 + 4*c**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 2056?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136665856 and 2432.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.755032 millilitres to litres.\nAnswer: 0.004755032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(11) - (sqrt(11) - sqrt(704))) + ((-4*sqrt(171) + sqrt(171))\/sqrt(9))**2.\nAnswer: sqrt(19)\/8 + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) - (sqrt(396)*-1 + 4))) + 2*(0 + sqrt(396)) + -4 - (-4*(0 + sqrt(396)) - (5*(sqrt(396) + sqrt(396) + 2) + sqrt(396))))**2.\nAnswer: 1920*sqrt(11) + 101476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 - 32080184*t + 320801440 = 0.\nAnswer: 10, 8020036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1744580112371\/58187680 - 1\/11637536. Let n = g + 29988. Calculate the common denominator of n and -65\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 - 7*l + 10. Let f be k(-8). Which is the fourth biggest value? (a) 0.3 (b) -0.5 (c) -3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36894.61780741 take away -2.6?\nAnswer: 36897.21780741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2449 and -7.\nAnswer: 17143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -12941, 2, 0, -245 in descending order.\nAnswer: 2, 0, -245, -12941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -227856360 - 0?\nAnswer: -227856360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, q: 3}. What is prob of sequence yqq?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + -3. Let n = 7 + p. Does n = -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 488464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9623 + 492 = -983*r - 10528 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229568543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1505*i + 1515*i = -430 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 5)*(-1 + u - 3*u + 3*u) + (-13 + 4*u + 13)*(-1 + 4 + 0).\nAnswer: 5*u + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 348 + -344. Solve 0 = -3*k + 3*t + 18, 3*k - f*t - 22 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2584.16928 minutes?\nAnswer: 0.256366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 59, -0.12 in descending order.\nAnswer: 59, 0.01, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 618592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213183940 minus 0.023?\nAnswer: 3213183939.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-6\/11)\/h)*h**0)**(-1\/54) assuming h is positive.\nAnswer: h**(-14\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d. Let i(q) = q**2 + 6*q. Let j(v) = 3*v**2 + 11*v. Suppose p = 8 + 3. Let u(s) = p*i(s) - 6*j(s). Give x(u(z)).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 6*v - 18. Calculate the lowest common multiple of v and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -m - 2, 3*m + 1 = -r + 8. Suppose b - 4 = 3*p, m*p + 1 + 1 = 0. Solve -b + 5 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/2 - (4 - 3). Suppose 3*h = 2*o - 2*h - n, -o - 3 = 4*h. Differentiate q + 3*q + o + 3 - q wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1015? (a) -3 (b) 11 (c) 0.062 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -103\/4. Let m = 1.8 + -2. Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 156. Suppose 0 = b - c - c - 16, 3*b - k = 4*c. What is the lowest common multiple of 18 and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1097*k = -30196 - 4908 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23663 is divided by 11831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3106724 and 2864.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/120)\/((-1)\/((-27)\/(-9)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*i - 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -688340 divided by 635?\nAnswer: -1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*c - 52, 4*c + 16 = -3*i - 10. Let l be (12\/5 + -2)\/(6\/i). What is the nearest to l in 1, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5586 divided by -2793\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 51 (b) 2\/5 (c) 1.2 (d) -2 (e) 52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 210 - 629. Let z = k + 456. Which is the second smallest value? (a) -4 (b) z (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 + 0 - 0)*1. Suppose -s + n*s = 4*g + 12, -4*s = -3*g - 15. Calculate the lowest common multiple of s and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.286? (a) -5 (b) 2 (c) -0.5 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*p - 0*p + 11, -2*q + 16 = -4*p. Let w(s) = -5*s**3 - 2*s + 1 - s**q + 5*s**3 + 4*s**3 + 3*s**2. Let t = 1 + 0. Give w(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 1045430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.073493 + 0.006507. Round f to three dps.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = 543. List the prime factors of w.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 1, -4?\n\"Answer: -5*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22a78 - -136?\nAnswer: 22bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 298\/25 - (-9 - 2676\/(-300))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-5))\/(48\/30). Let o = 32.4 - 32. Which is the closest to 2\/5? (a) o (b) -0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1700*a + 3392*a - 579*a + 955*a + 612*a in the form f*a + g and give f.\nAnswer: 6080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 5*m**2. Let s be p(5). Suppose -3*c + 30 = -s*c. Suppose c = t - 0*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 7*y - 10. Let z be s(-6). Let h be z\/(-12) + (-1)\/(-15). Which is the second smallest value? (a) 1\/5 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqn when three letters picked without replacement from xnbqxnnqqqqbqbnh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**5\/180 - 7*w**4\/9 - 6*w**3 + 14*w**2 - 11. Factor u(o).\nAnswer: -(o + 2)*(o + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 114 = 7*z. Calculate the least common multiple of 15 and z.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560164.2 meters in centimeters?\nAnswer: 56016420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i + 3*w - 1813, i - 5*w = -345. What is the tens digit of 2\/(-8) + i\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53849143 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/110324 and 48\/91.\nAnswer: 10039484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21672.9169+-0.2\nAnswer: -21673.1169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1164 divide 71249232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*y + 2*y - 5*p, 4 = 2*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 8:33 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 12, 382\/7, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 17813789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r*r*r**7*r*r*r*r**(-6)\/(r*r**(-2\/3)))**33 assuming r is positive.\nAnswer: r**(341\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-280))\/(66\/(-48) - 2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**5 + 0*c**5 - c**5)*(0 - 6 + 3)*(-15 + 5 - 22).\nAnswer: -96*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1909?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*(-y**2 - 2*y**2 + y**2) - 51*y**2 - 196*y**2 - 99*y**2 - 3*y**2 - 2*y**2 + 2*y**2.\nAnswer: -341*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/10)\/((-2)\/5). Let f = -1584.97 - -17.97. Let v = f + 1567. What is the closest to v in 4, u, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -17*u**2 - 2*u - 3. Let p(f) = 14*f**2 + 3*f + 4. Let j(g) = 6*p(g) + 5*v(g). Determine j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11750\/50)\/9400*30\/4\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4800 divided by 5.\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/20 and 41\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*f = -14 - 18, 2*r - f = 31. Let d = r + -10. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4189929 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: Express -488*r**2 - 7*r + 483*r**2 + 7*r + 146 in the form t*r**2 + c*r + h and give h.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274*y**2 + 130*y**2 - 463*y**2)*(0 - 4 + 6 + (-2 + 0 + 0)*(-3 + 1 + 1)).\nAnswer: -2428*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 10*t**2 + 12*t + 14. Let m be q(-11). Suppose 4 = 2*d - 3*h - 0*h, -m*d = -2*h - 11. Solve 0 = -n + d*n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-142)\/(-355))\/((-8)\/15)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -42887.\nAnswer: -5\/42887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 4*s**2 + 2*s - 3. Give h(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 918 + 9.\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0*n**5 + 7\/30*n**6 - 1\/6*n**4 + 0*n**2 + n + 0 + 0*n**3. What is the third derivative of c(u) wrt u?\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 500?\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-15) - (-9250)\/15000?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (141\/(-6))\/((-5)\/30). Suppose -4*m = -c + 29. Let v = m + 9. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 329910.\nAnswer: 329910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-8)*38328\/1597.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5145404 and 29\/6080932?\nAnswer: 66890252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -5)*127\/(-2). Suppose -2*k - 3*v + 635 = 3*k, -3*k - 5*v = -m. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + sqrt(72)))**2 + -5.\nAnswer: -900*sqrt(2) + 2020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562 take away -516.97278003?\nAnswer: -1045.02721997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 18. Let x be g(-5). Suppose n + 5*u = 99, -2*u + 245 = n + x*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.816146 to two decimal places.\nAnswer: -4.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -8*n + 173. What is the remainder when n is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 2. Let p(v) = -2*v**2 + 14*v - 9. Let m(n) = -p(n) - 3*s(n). Calculate m(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -1.26. Let i = w + 0.86. Let t = -243 - -1211\/5. Which is the smallest value? (a) 15 (b) i (c) 1\/9 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126589394 to the power of 1\/2, to the nearest integer?\nAnswer: 11251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = 12. Let h = q - 35\/2. Suppose 5*d = -7 - 18. Which is the nearest to h? (a) d (b) -3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6636 = -513*i + 276*i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -254*k**2 - 3*k**3 - 8933 + k**3 + 68*k**2 + 6188 - 4590*k - 9405.\nAnswer: -2*(k + 3)*(k + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -5766.\nAnswer: 1\/2883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x - x**2 + 2*x**2 + 8*x + 3. Let z(g) = -g**3 + 5*g**2 + 5*g + 2. Let v be z(6). What are the prime factors of r(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11533 (base 6) to base 10.\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15697606 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -2*y, -4*k + 2*y + 6 = 0. Suppose -4*g + 6 = -2*r, 0 = -6*r + 2*r - 2*g + 28. Suppose 3*m - r = 1. Put k, 0, m in decreasing order.\nAnswer: k, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g + 1. Let v be -1*10*(-1)\/(-2). Let q(b) = -6151*b + 1 + 6158*b + 0. What is v*c(k) + 4*q(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(11 - 341\/22). Suppose 392\/9*g + 1372\/3 - 8*g**3 - r*g**4 - 112\/3*g**2 = 0. Calculate g.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*o - 0*o. Suppose -b = -o*b + 8. Let j = -0.504 - -0.404. What is the closest to j in 0.4, b, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -261*m**2 - 2042*m + 375. Calculate c(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 494637 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 23. Let p be -1 + 3*3\/k. Suppose 3*u = 2*c - 12 - 13, 5*u + 10 = -3*c. Put p, u, -3 in decreasing order.\nAnswer: p, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 1, u: 7, v: 3}. What is prob of picking 1 u and 1 d?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6488555822?\nAnswer: 2, 7, 19, 79, 308773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446*j - 115*j - 106*j - 110*j - 108*j.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 5*r**3\/3 - 5*r**2\/2 + r + 175. What is m(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t - 3. Let g(u) be the third derivative of -u**6\/120 + u**4\/24 - u**3\/6 - 84*u**2. What is 3*g(y) - h(y)?\nAnswer: -3*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19295189*t**6 + 5*t**4 + 96109904*t**2?\nAnswer: -2315422680*t**3 + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o*(o\/(o**(3\/7)*o*o*o))\/o*o)\/o*o*o)\/(o**(-7\/2)\/o)*o**(4\/3)*(o\/o**(-3))\/o assuming o is positive.\nAnswer: o**(395\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:08 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 m when four letters picked without replacement from {x: 5, b: 2, m: 7}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 8*h**2 - 6*h + 1. Calculate d(-8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39b870 (base 16) in base 12?\nAnswer: -1325128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29\/20 + (-17)\/(765\/63).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = h - 7. Let a(q) = -2 + 43*q**3 - 2*q - 8*q**h + 2*q**2 + 3. Let r be a(1). Solve 0 = 5*v - 11 + r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**6 - 23*q**6 + 15*q**2 + 6*q**6 - 4*q**6 wrt q.\nAnswer: -1800*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 1. Let j = -28429\/15 - -1895. Which is smaller: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006308 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -9. Let r(q) = 1. Let l(z) = 4*z - 4. Let d(m) = x*r(m) - l(m). Let v(b) = -5*b**2 + 3*b**2 + 0*b**2. What is d(v(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.31 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -570 less than or equal to -571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = 2*n + 23440780 - 23440283, 3*n = 2*i - 142 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -276231, -552498, -828801, -1105146, -1381539, -1657986, -1934493?\n\"Answer: -n**3 - 12*n**2 - 276224*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*r + 4. Suppose -3 = -5*a + 2. What are the prime factors of r + (19 - a\/(-1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jttj when four letters picked without replacement from tttttttjtttttttjttt.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.61 + 2.39. Let q be 13\/8 - (3 - 1). What is the closest to 0 in -0.2, q, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284583.\nAnswer: 7, 326369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.034 less than -2924935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from goaatarioaago?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (10 - (-7 - (-6 - (3 - 6))))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 7, -9, -2\/203, 1\/6?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 9*j**2 - j - 8. Let t = 33 + -42. Let n be q(t). Solve r = n + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**3\/3 - 5*t - 18. Let b(r) be the first derivative of o(r). Let m(k) = -4*k. Calculate b(m(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 18*n + 2*w + 12, -2*n - 4*w = 16. Is 2030630\/(-560)*(n - 10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 5. Let z = 20 - 28. What is the remainder when 32 is divided by g(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 43248*w**2 - 2 + 2 - 43261*w**2 + 11*w**3 + 15*w**3.\nAnswer: 26*w**3 - 13*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 86282 divided by -86282.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-486970)\/141075 + 8\/(-54)\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 130\/4*2\/(-20). Let q = l - -53\/20. Put -2\/5, q, 4 in increasing order.\nAnswer: q, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(20))*-2 - sqrt(100)\/sqrt(125)) + -4)**2.\nAnswer: 88*sqrt(5) + 984\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89745 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-3 - -28 - 46 - (-81 + 0)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5055 divided by 337?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhw. Give prob of picking 2 h and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18885525 and 10.\nAnswer: 37771050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**2 + 7*y**2 - 320*y**3 - 4*y**2 + 882*y**3 + 1036*y**3 in the form c*y**3 + k*y**2 + x + m*y and give c.\nAnswer: 1598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 196*l**2 + 10*l + 8605. Let q(m) = 14*m**2 + m - 2. Let n(u) = 4*q(u) - x(u). What is the first derivative of n(i) wrt i?\nAnswer: -3*i**2 - 280*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f - 7*f + 0*f. Let a(w) = 2*w**2 + 108*w. Calculate r(a(h)).\nAnswer: 2*h**2 + 108*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 2, k: 5, f: 1}. What is prob of sequence krf?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 + 373*s\/4 - 3363.\nAnswer: -(s - 708)*(s - 38)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -6. Suppose 684*l - 696*l = -360. Calculate the least common multiple of l and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/7 (b) 1 (c) -109.1 (d) -3 (e) 2\/171\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -b - s, -2*b + 4*s = 5*s - 160. Suppose 5*n + 164 = 664. Suppose 5*k - k = 4*c + n, 3*k + c = 59. What is the remainder when b is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3 - 259986*g**2 + 8469461952*g - 1323304871336 = 0 for g.\nAnswer: 157, 64918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from vwwtwvdtvtt?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2598.59 - -2581. Let o = 18.387 + y. Let q = -0.8 + o. What is q rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-15)\/(-81)) + (-16)\/40. Solve 0 = 2*x - s - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 39*o**2. Suppose 2*c = 8, -3*x + 3*c = -10 - 2. Let a(t) = 4*t. Let g(q) = -6*q. Let w(l) = x*a(l) + 5*g(l). Calculate u(w(d)).\nAnswer: 156*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/6*(-27 + (-2328)\/(-84)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 818357550 and 1818.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a + 20789336 - 20789336.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2360 and 973500.\nAnswer: 1947000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(17) + sqrt(204)\/sqrt(48) - (-4*sqrt(34)\/sqrt(2) + sqrt(17)) - (1 + 1*(sqrt(51)\/sqrt(3) - sqrt(17)))) + -3))**2.\nAnswer: -324*sqrt(17) + 12969\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/(-208)*8 + (-197)\/26?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + i + 91*i**2 - 95*i**2. Let g(s) = -s. Calculate g(m(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/6)\/(4\/(-6)). Suppose 169 = -3*n + 214. Solve -n = v*f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38538051?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -4886\/2117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1\/4 (c) 2243 (d) -0.355\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 6*j = 40. Calculate the remainder when 37 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 19*m - 7. Let f be (270\/12)\/5*2. Determine k(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmfm when four letters picked without replacement from {m: 3, f: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -e3d3 (base 16) in base 4?\nAnswer: -32033103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 693 - 1366. Let z = d + 673.1313. What is z rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-42)\/(-4))\/(165\/26730*567). Let -15\/2*z**2 + 1\/4*z**j - 26 + 27*z = 0. What is z?\nAnswer: 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87730 divided by -62.\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599427 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96952.74ml in litres?\nAnswer: 96.95274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.104 at least 1.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(160) - (2*2*sqrt(160) + sqrt(160)) - sqrt(160)) + (sqrt(160) - -2*sqrt(160)*1))\/((sqrt(288) - 2*sqrt(288)*-6) + sqrt(288)))**2.\nAnswer: 5\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -4*j**3 - 9*j. Let n be g(-1). Let c = 30 - n. Is 7 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -630 and 28.2.\nAnswer: -17766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6237 and 1848.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 255 = -7*m. Find the first derivative of -m + 64*k - 140*k + 68*k - 86 wrt k.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -240\/223, 93, 2, 13?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234354 (base 6) to base 14.\nAnswer: -7646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312448?\nAnswer: 2, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 18 = 4*i. Let h(a) = 2*a**2 + a. Let m(s) = s**3 - 22*s**2 - 3*s + 39. Let w(b) = 2*h(b) + m(b). What is the remainder when w(i) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 7687342?\nAnswer: 3\/7687342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 181 = 175. Let k = 1 + -1. Put z, -4, k in descending order.\nAnswer: k, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -5*a + 118. Let p = a + -31. Solve 0 = b - 3*u - 12 - 2, -5*u + p = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9674*u**3 - 18*u**2 + 19360*u**3 - 9687*u**3 - 4*u - 77. Give l(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.089767\nAnswer: 0.089767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 943 + -288. Let c be (-4)\/6 + (-44)\/(-12). Suppose -c*k + h = -566. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 20 = 65*a - 62*a, 2*j = 4*a - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 1.16 (b) 1 (c) 1\/4 (d) -335\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/60*z**5 + 1\/120*z**6 + 0*z + 5\/24*z**4 + 0 + 14*z**2 + 3\/2*z**3. Is 29 a factor of f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.05, 7, 24557\/5 in ascending order.\nAnswer: -1.05, 7, 24557\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 220*b - 3076. Let f be q(14). Solve 0 = f*t + 403 - 423 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3104830946*f + 0*f**3 - 3104830959*f + 2*f**3.\nAnswer: 2*f**3 - 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 227521047 and 390?\nAnswer: 2275210470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggngngng. What is prob of picking 3 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 464879 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2167976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 18. Let h(g) = -2*g + 4. Let x(i) = i**2 + i + 1. Let s(o) = -h(o) + x(o). List the prime factors of s(d).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12002 + 10?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143713 = n - 138912. Suppose 0 = -448*g + 453*g + 5*o + 366890, o = -3. Let d = g - n. What is d rounded to the nearest ten thousand?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/3 (b) -102054 (c) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*(-9)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -74*w**2 + 1048*w - 3687. What is u(8)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 824 divide 46703498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.96 + -0.04. Let g = 0.32 + -1.32. Which is the third biggest value? (a) w (b) 3\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:25 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*s**3 - 236*c*s**2 + 2*c*s + 211*c*z + 72*s**3 + 28*s**2*z - 934*s - 4*z wrt s?\nAnswer: 6*c*s - 472*c + 432*s + 56*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p**2. Let b(a) be the second derivative of -236*a**4\/3 - 19*a + 6. What is m(b(f))?\nAnswer: -2673408*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*11*(-1415)\/(-5). Let o = v - -224029\/18. Find the common denominator of 1\/(192\/(-284)) + (-3)\/(-6) and o.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 16*l**2 - 28*l + 1. Let j be t(14). Which is bigger: j or 8\/705?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/4)*t\/(t*t**(-2\/29)*t)*(t**(-4)*t)\/t**(-8) assuming t is positive.\nAnswer: t**(443\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**5\/45 - 2*i**4\/9 + 10*i**3\/27 - 2*i**2\/9 - 54. What is o in s(o) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 12847*j - 142874. Give r(11).\nAnswer: -1557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(13\/3)\/l*l*l)\/(l*l\/(l*l**35*l*l)) assuming l is positive.\nAnswer: l**(127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus 0.0371?\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185105041 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, -2*v - v - 9 = -3*d. Let g = v - -22. Let m = -13 + g. Solve t - 5*o = m, t + o + 3 = -3*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/(z**(-3)*z)*z**4*z*z*z**(-2\/17))\/(((z\/(((z*((z**(-1)\/z*z)\/z)\/z)\/z*z)\/z*z)*z)\/z)**10)**26 assuming z is positive.\nAnswer: z**(-13177\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 91790.49 centuries?\nAnswer: 917904.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssszszcszgzzcmsss. Give prob of picking 1 g and 1 m.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10977235 is divided by 426?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**3. Suppose 4*t - 80 = 12. Suppose -4*p = -16, 5*j - 6*p = -4*p - t. Let x = j - -2. Calculate g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -16, 1532, -20\/3 in decreasing order.\nAnswer: 1532, 2, -20\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 7)*(2 + 1). Sort -0.2, g, -1\/8 in ascending order.\nAnswer: -0.2, -1\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61 - 13013?\nAnswer: -12732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 6*r - 16. Differentiate 14480*z**4 + 2*z - 14365*z**4 - r*z - 58 wrt z.\nAnswer: 460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092*g + 24 = 1086*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 846015086?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2626*s. Let v(c) = 5*c. What is x(v(y))?\nAnswer: 13130*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 8\/243785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 70. Let o(j) = j + 1. Let l = 5 - 2. Let n be o(l). Calculate the highest common divisor of b and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 4:25 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 103712407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.690558cm to kilometers.\nAnswer: 0.00001690558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210003013000 + -10?\nAnswer: 210003012330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -241*i - 6 - 4 + 4 - 8. Let u be g(-12). Let l = 4161 - u. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671461?\nAnswer: 7, 95923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -326 or -2284\/7?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3, 3, 0.14, -1\/3, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 6\/7 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20557 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(171)*2)\/sqrt(9) + sqrt(19) - sqrt(171)\/((sqrt(108) + sqrt(108)*2)\/sqrt(12)).\nAnswer: 4 + 8*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489, 694, 903, 1116?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 490000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 109438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a + 2*a - 78*a + 23*a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4.6, 11 in descending order.\nAnswer: 11, -4.6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 8\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-442)\/(-208))\/(-17))\/((-1)\/14).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 636 and (315\/42 + -8)\/((-1)\/14).\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6828228 and 827664?\nAnswer: 27312912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 3*w - 20, -2*w = 129*b - 128*b - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*a = -10, -7 = 5*g - 4*a - 1. Calculate the remainder when g is divided by 3 + ((-1)\/(-2) - 27\/18).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:12 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(-1*sqrt(2)))\/((sqrt(77) - sqrt(77)*-1 - sqrt(77))\/sqrt(11)) - (-5 + 0 + sqrt(175) + -3).\nAnswer: -6*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72789717?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43499 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*d + 12026 = 5807 - 19792 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by (210\/49)\/(-15) + 296\/7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*u - 1)*(6 + 3 - 3)*(3 - 5 + 1) as t + l*u and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-11)\/5 + 2). Suppose -447 = -6*o - 381. Let b = k + o. What is the highest common factor of b and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ewwmmwm. What is prob of picking 3 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1366 + -1279.3. Let q = -93 + f. Let i = q - -6. Which is the closest to 2? (a) -1 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -88.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 10) to base 9.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 4. Suppose 0 = 5*g + 5*p - 55, -50*p + 18 = -47*p. Solve 4*m = g*s - 28, -m = -s + f*m + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2448) - (2 + sqrt(2448)*-1 - sqrt(2448)))**2.\nAnswer: -144*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h + 37. Let o be r(-4). Suppose 4*y + 90 = d + 4*d, 0 = 3*y. Let q = 28 - d. Which is the closest to -1? (a) o (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94218*g**5 - 1444*g - 34 wrt g?\nAnswer: -1884360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:15 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 14683280*k + 10779935577920.\nAnswer: 5*(k - 1468328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubwucbcsbsrcwww. What is prob of picking 2 c, 1 u, and 1 r?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9128, -9130, -9132, -9134, -9136, -9138?\nAnswer: -9140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + o**2 + 8 - 4 + o as v*o + c*o**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t - 4 = -30*t. Suppose 0 = -3*r - t*w - 0 - 43, 0 = r + 4*w + 31. Do -11 and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-56) - 5\/((-35)\/(-11902)). What is f rounded to the nearest ten?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233775.0295 + 233722. Let s = m + -0.0705. Let q = -53 - s. Are -45 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {s: 4, v: 11, a: 2, y: 1, t: 1}?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 47 = -5*f - 2*h, 3*h + 28 = 2*f. Let t(q) = q - 8. Let o be t(f). Solve -o*g = -5*g - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*z + 23*m + 24 = 87*z + 22*m + 1, -25 = -3*z + 2*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60907*c**3*w**3 + c**2*w**3 - 38*c**2*w**2 + c*w**3 + 754*c wrt c.\nAnswer: -365442*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 2*m - 1. Let r be q(1). Suppose -4*v + 2*a + 11 = -17, r = -5*a - 10. Let j be -12497 - (v - (-9)\/(-3)). Round j to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {j: 7, m: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*r - 130. Let x be (-2)\/r - 0\/15. Is x at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -116223565 + 16?\nAnswer: -116223546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 8*h. Let s be v(8). Suppose 2*c = -s*c - 2, d - 2*c = 17. Let a = d + -15. Solve a*q - q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26565 (base 16) to base 3\nAnswer: 21222101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 382398446.2514 take away -33.8?\nAnswer: 382398480.0514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -433 or -434?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/19)*l)\/(l\/(l*l**10)))\/((l\/(l*l**(-10)*l)*l)\/(l\/l**9*l)) assuming l is positive.\nAnswer: l**(-93\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158952 = -6*w + 30*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 128 = 2*s, -2*s - 170 + 36 = 4*b. Let v = s + 64. Let a = 3 + -2. Is v greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/36 and 50\/(-36)*(-5)\/(-450)*-3.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.42 + -0.33. Let x = q + -0.39. Let k = -908\/1043 - -2\/149. Which is the smallest value? (a) -3 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - b + 2*b - 8 = 0, 5*c + 3*b = 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 25. Which is the third biggest value? (a) 0.5 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 11:37 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540) + sqrt(540) + sqrt(540)*-2 + sqrt(540))\/sqrt(9))\/(-1*sqrt(48)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2313 + -2270. Solve 29 = 4*r + 5*w, 2*r + 16 = -5*w + s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3106 = 2*r - 0*r, -5*r = 2*z - 7756. What is r rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 3*n + 2*g, n - 4*n - 92 = 5*g. Let o = 34 + n. Let i be (18\/(-4))\/9 - o\/2. Is i at least 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4933, 19722, 44369, 78874, 123237?\n\"Answer: 4929*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -789 - -789.3. Put -1, 0.1, z, 0 in decreasing order.\nAnswer: z, 0.1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 16*d = 15*d + 374 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 291501 and 290843 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 127052 - 31652. Round u to the nearest one hundred.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -56*h**2. Let g(m) be the second derivative of 5*m**3\/3 + 11*m - 22. What is z(g(v))?\nAnswer: -5600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v. Suppose -a - 22 = -5*n, -2*n + 5*a - 4 = 1. Let k(q) = n*q + 4*q - 8*q - 2*q. Give m(k(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -p, -2*x = -p - 3 - 3. Suppose -x*l - 8 = 0, 0 = 2*m - l + 5*l - 8. What is the highest common divisor of m and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*k + 4*h - 15, 4*k - 3*h = -11. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8183b (base 15) in base 16?\nAnswer: -64277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 4*r + 4. Let a(f) = 3*f**2 - 11*f + 11. Let j(m) = 4*a(m) - 11*n(m). Let g(v) = -15*v. What is g(j(c))?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + 1 + -6)\/(6\/(-18)). Suppose -886 = -l*o - 67. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (112 - (7 + 7))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6760.44684ms in weeks?\nAnswer: 0.0000111779875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17 - 0)\/((-5)\/2). Let l = b - -364\/55. Let h = 4.99 - -0.01. What is the second biggest value in l, -0.6, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/3 - (1320\/(-36))\/22)\/(-1). Let a(u) = 35*u + 5. Give a(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3461 + -1296. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202850 less than 12.218?\nAnswer: -202837.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v**2 - 4*v**2 + 2 + 2*v - v**2)*(-60 - 58 - 260) to g*v + w + n*v**2 and give w.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 494375402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*d + 12, -4*y + 6 = -2*y + d. Let o be (-30)\/(-8) - (-1)\/y. What is the units digit of ((-2)\/o)\/((-1)\/52)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5323 + -5331. Which is the closest to w? (a) -0.66 (b) -0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-16)\/n)**(2\/131)\/((n*n**(3\/13)*n)\/n*n\/(((n\/((n\/n**(4\/9))\/n))\/n)\/n)) assuming n is positive.\nAnswer: n**(-46450\/15327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and (4 + 116\/(-20))*1*-45?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(960\/(-54)))\/((-9)\/(-12))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**5\/20 + w**4\/4 + w**3\/2 + w**2\/2 + 76*w + 151. Let l(k) be the first derivative of r(k). What is l(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22\/15, -4\/3, 80\/23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.72723 litres to millilitres.\nAnswer: 59727.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-148))\/1*(748 + -752)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - s. Let d(l) = -6*l**3 + 9*l - 7. Let f(t) = -d(t) - 5*w(t). Let q(k) = 2*k**3 + k**2 - 7*k + 13. Let y(u) = -5*f(u) + 3*q(u). Determine y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 19 = -56. Let b be ((-14)\/(-3))\/((-4)\/(-66)). Let w be b\/(-63) + 2\/9. Put -3, -4, p, w in increasing order.\nAnswer: p, -4, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*i**2*t**2 + 35*d*i**2*t + 58*d*i**2 - 7*d*i*t**2 - 2*i*t**2 - 1288*i wrt i.\nAnswer: -2*d*t**2 + 70*d*t + 116*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**3 - 37*r**2\/2 + 28*r - 107. Let y be q(-13). Solve y*x + 9 = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 13 = -7*x - s, 5*s - 25 = 0. Which is the nearest to 0.1? (a) -1 (b) -81 (c) -2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2030*o + 253*o**3 + 1000 - 2070*o - 681*o**3 + 540*o**2 + 1680*o**2 + 28*o**4.\nAnswer: 4*(o - 5)**3*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7) + 0)*-2 + (-2 + 0 + sqrt(7) - (sqrt(63)\/(sqrt(9)*1 + sqrt(9)) - sqrt(7))).\nAnswer: -5*sqrt(7)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22236 and 16677.\nAnswer: 66708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2)*(-19 + v + 9 - 6)*(-2 + 35 - 4)*(-6 + 9 + 9)*(-4 - 4 + 2) to the form h*v + p and give p.\nAnswer: 66816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -4) + -7 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 44*l**2 + 112*l.\nAnswer: 4*l*(l - 7)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 513399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37955.\nAnswer: 5, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14423275 divided by -3?\nAnswer: 14423275\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Work out -824159 - -2.239.\nAnswer: -824156.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/6*15\/(-10). Suppose 0 = p*j - j - 4. Solve -q + 2*a = 2, -2*q + 5*a + j = 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10404 and 262?\nAnswer: 2725848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v. Suppose 10 + v = -5*w - 4*b, 0 = w - 2*b - 12. Do w and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -23026?\nAnswer: -23026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3*-1)\/(-2 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = -1. Let q(t) = -t + 2. Let m be q(n). Let g(x) = -6 + 4*x + m. Let r(v) = -v. Determine r(g(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-1) - ((-368)\/13)\/(-4).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 421683 divided by 1.\nAnswer: 421683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/3 + -8. Let h(r) be the second derivative of -r - o*r**2 + 0*r**3 - 1\/45*r**6 + 0 + 0*r**5 + 1\/9*r**4. Factor h(c).\nAnswer: -2*(c - 1)**2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 + u**4 + 15 + 14 + 3*u**3 + 2*u**2 - 23 in the form b + o*u + y*u**2 + m*u**4 + j*u**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 7 = -5*t, -143*c = 13*t - 15*t - 74*c - 71*c - 22 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 - 446*h + 143*h + 150*h + 143*h + 2 + 2 to the form u*h + t + c*h**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2702 (base 8) to base 12\nAnswer: a2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 18*t**3 + 829*t**2\/3 + 900*t + 2500\/3.\nAnswer: (t + 2)**2*(t + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -312 + 925. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -4.8349675546\nAnswer: -15.8349675546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62203439 and -0.1.\nAnswer: -6220343.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/5 - 4*v**2\/5 + 6*v\/5 = 0. Calculate v.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(50\/(-75)*2\/2). Let s(b) be the first derivative of 0*b + 1\/3*b**f - 21 + 7\/2*b**2. Determine n, given that s(n) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -25, -42, -59, -76?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.633 - -16.257. Let x = -5.6 + s. Round x to one dp.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.48 - -9.4. Is r at least -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 11:59 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 403030588, 806061172, 1209091754, 1612122334?\n\"Answer: -p**2 + 403030587*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 611*i**5 - 12*i**2*s + 2*i - 8681*s + 1 wrt i.\nAnswer: 12220*i**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(6\/7)\/b*b\/b**8)\/(b**(-1\/4)\/b*(b\/(b\/(b**6\/b)))\/b))\/(((b*b**3)\/b)\/b*b\/(b**(2\/41)*b*b*b*b))**0 assuming b is positive.\nAnswer: b**(-277\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -1\/6*o**6 + 1\/42*o**7 + 9\/20*o**5 + 1\/3*o**3 + 0 - 7\/12*o**4 + 4*o + 0*o**2. Find z, given that u(z) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -425, -1696, -3809, -6764, -10561, -15200, -20681?\n\"Answer: -421*h**2 - 8*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -233*5.\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133\/6 + -44\/3. Suppose 0 = -6*x + x + 55. Suppose 0 = h + 2 - x. Is z not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/28 - 122\/14. Let g be x\/(-1)*28\/(-6). Is 6 a factor of g\/(-3) - 0 - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (-4 + -2 - (95 - 112) - 6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1742456 is divided by 580738.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 5*r + 20. What is w(9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 5*h**2 - 2. Let y be (-2040)\/(-35) + 2\/(-7). Suppose 5*x = -y - 27. Let p = x - -12. Calculate m(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, -0.3, -3 in ascending order.\nAnswer: -215, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 17 = -5*x, 4*r + 8 = -x + 6*x. Solve v - r + 1 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 6, t: 3, y: 4, j: 2}. What is prob of picking 1 j and 1 x?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/1007 and 35\/2.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 264456453 to the power of 1\/3, to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2548*k - 53375 = -2973*k - 265155 - 158127 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 8:43 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*x + 24 = -88*x. Which is the nearest to 0.3? (a) 40 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + -63. Let s be ((-4)\/12)\/((-2)\/12). Suppose -130 = -2*a - 3*j - 32, a = s*j + d. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 8*z**2 - 2. Let q = 2796 + -1089. Let i(o) = 1707 - q + 3*o. Calculate i(n(u)).\nAnswer: 24*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*c - 267*c + 4*s = -80, 46 = 3*c - 2*s. What is the third smallest value in 0.1, 1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = 3*i - 4*v - 196, 0 = 5*v - 25. Suppose 65 = 2*a + d, -3*a + d = -28 - i. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 0.396729.\nAnswer: 6.603271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50274 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 651 or -186648?\nAnswer: 651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -301, -303, -305, -307, -309?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60366 (base 14) in base 5?\nAnswer: 24344144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 + 3*r**2 + 52*r + 10. Let p be t(6). Let j = 0 - 1. Sort j, -0.3, p in descending order.\nAnswer: -0.3, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 6. Let m be a(-6). Suppose 3*h - 13 - 5 = m. What is the third smallest value in 2, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3573?\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 10 - 1, 5*l - 295 = -5*i. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c + 144. Calculate the lowest common multiple of 3 and v(-36).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/((-12)\/32*-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6989*b**3 - 942*b**2 - 13847932*b.\nAnswer: -41934*b - 1884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5*g - 16, 186*p - 181*p - 2*g - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18967 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/77 and -38\/8337?\nAnswer: 91707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2646 and 588?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32698 - -47717. Let g be 956\/(-6)*(b + -19). Round g to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 286*d - 4. Let j(x) = 2*x - 1. Calculate 3*j(u) - y(u).\nAnswer: -280*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323760479?\nAnswer: 7, 46251497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 = -2*j, -5*j = m - 1 + 27. Let o(n) = -n**3 - 4*n**2 - 3. Let k be o(-4). What is the smallest common multiple of m\/(-1) + k + 5 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6182*b**2 - 19*b + 199375?\nAnswer: 12364*b - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502430.\nAnswer: 2, 5, 47, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 - 78*j**2 + 278*j + 70. Let u be r(35). Solve 6*a - 72 + 84 = u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*1*-3*1*-6)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3 - 7 = 0. Let x = -2 - s. What is the second biggest value in x, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10) + -2 + -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, m: 5, j: 1}. Give prob of picking 3 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.792 + -1.14. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x + 12 = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -254200 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t - 4. Let z be (-12)\/102 + (-1000)\/170. Let v(g) = -1. Give z*v(h) - c(h).\nAnswer: 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23424676?\nAnswer: 2, 11, 532379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46110*i**4 - 7*i**3 - 5832616 wrt i.\nAnswer: 184440*i**3 - 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*u + 16 - 16)*(u + 2*u - 6*u) + 240*u - 44*u**2 - 240*u in the form q*u + f + l*u**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/11)\/h))**(-2))**(-31) assuming h is positive.\nAnswer: h**(1240\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f*g**3 - f*g**2 + f*g - 2*f - 139*g**3 - 4*g + 6 wrt g.\nAnswer: 66*f*g - 2*f - 834*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {y: 4, e: 1, n: 8, z: 2, i: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-5))\/((-28)\/490). Let n be i\/(-1*(-4)\/4). Find the common denominator of 101\/10 and 62\/12*n\/28.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -17a?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*v + 6. Let x = 10 + v. Is 1\/6 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 19. Let w(r) = -3*r - 15. Let f(v) = -3*g(v) - 4*w(v). Let a(l) = -4*l + 2. Determine -2*a(k) + 3*f(k).\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -821\/2 and -412 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (-1 + sqrt(19))**2 + 2).\nAnswer: -138 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 512 and 368.\nAnswer: 11776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(0 + sqrt(500) + sqrt(500)) + sqrt(500))**2.\nAnswer: 240*sqrt(5) + 4516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68455 - -1310506. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 969984 and 37872.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*(i\/i**(-2))\/i*i*i)*i*(i*(i**(-4)*i)\/i*i)\/i)**(-5\/3))**(-8\/9) assuming i is positive.\nAnswer: i**(-200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/3*(-9)\/(27\/6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/3 - 648*b**4 - 396184*b**3\/3 + 2592*b**2 + 528240*b = 0 for b.\nAnswer: -186, -2, 0, 2, 2130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r**2 - 3*r + 9. Let b(p) = 35*p**2 - 5*p + 15. What is -3*b(s) + 5*c(s)?\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.11 (c) 0.5 (d) 0.2 (e) -14\/9 (f) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*l**4\/8 - 1041*l**3\/4 - 48915*l**2\/8 - 76923*l\/2 + 39204 = 0. What is l?\nAnswer: -33, -12, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -15 + -19 - (4 + -2 + -12)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 185 - 333 = -2*t, 3*t + 3*z = 819. Suppose 855 = -264*x + t*x. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28\/87 - -1\/87. Suppose -2*a + 2 + 6 = 0. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*p**2 - 1224*p**2 + 200*p**2 - 521*p**2 - 1535*p**2.\nAnswer: -2493*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 1. Let b be v\/((-14)\/(-8))*-1. Find the third derivative of i**2 + 2*i**5 + b*i**2 - 2*i**2 - 3*i**5 wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h - a = -20, -5*h - 2*a + 34 = 0. Let q(k) = 5*k**3 - 5*k**2 + 6*k + 7. Let p(y) = -y**3 + y**2 - y - 1. What is h*p(t) + q(t)?\nAnswer: -t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**5\/60 + j**4\/4 - 5*j**3\/3 + 467*j**2. Determine t(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -116*u**2 - 26. Let g = 1439 - 1387. Let d(j) = -13*j**2 - 3. Calculate g*d(o) - 6*b(o).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -709.94.\nAnswer: 710.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.02 - -0.02. Let n = 1.1 + o. Suppose 4*x + 6 = -3*i + 1, i - 5 = 0. Which is the nearest to n? (a) 0.2 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*y + 21 = 78*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -8. Let i(x) = 18*x - 5. Let j be i(a). Let g = -57 + j. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1 + 5*p - 4*p**3 + 5*p**3 - 6 - 4*p**2 + 2. Let y be a(4). Solve -2 + y = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p - 149 = 52 - 57 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**3 + 2122*b**2 - 2123*b = 0.\nAnswer: -2123, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 959, 957, 953, 947?\nAnswer: 939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9036677, 18073351, 27110019, 36146681, 45183337, 54219987?\n\"Answer: -3*h**2 + 9036683*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110000 (base 2) in base 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 26176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -16862*d + 3535. Is o(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000112 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46888*i**2*o*s**3 - 2*i**2*o*s + 21*i**2 - 687*i*o*s**2 - 2*i*o*s - 54651*s wrt s?\nAnswer: -281328*i**2*o*s - 1374*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nni when three letters picked without replacement from {n: 14, i: 4}?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - -2 - (1 + -1357). Suppose -x = -2*r - 2*n - 0*n, -3*n + 2725 = 4*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56.65 and -19.8475.\nAnswer: -76.4975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3\/5 + 6927*d**2\/5 + 82608*d\/5 - 192948\/5 = 0. What is d?\nAnswer: -2297, -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v**3 - 297*v**2 + 948*v - 868 = 0. Calculate v.\nAnswer: 2, 217\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-25)*2\/((-32)\/(-40))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 6*t**2 - 2*t + 3. Is 6 a factor of y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79094990 = 5*w - 2*a, 56*a + 15 = 59*a. What is w rounded to the nearest 100000?\nAnswer: 15800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 2088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1777, 14, 4, 0.5 in decreasing order.\nAnswer: 14, 4, 0.5, 0.1777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -8*d**2 + 2\/3*d**3 + 0*d + 1\/8*d**4 + 1\/60*d**5 + 0. List the prime factors of i(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**6\/15 - 7*z**5\/45 - 2*z**4\/9 + 10*z**3\/9 + 10*z**2 - 1. Find n, given that r(n) = 0.\nAnswer: -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 - 154*f - 15973. What is b(135)?\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -37*c - 7. Let b(q) = q. Let r be b(-5). Let p be l(r). Suppose -j = j - p. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -233 - -308. What is the first derivative of -p + l + 52 - 8 + 7 + 140*p**3 - p wrt p?\nAnswer: 420*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 3*z + 1. Let j be w(-2). Let g be (2 + -3)\/(-1*j). Suppose 3*u - 9 - 6 = 0. Which is the third biggest value? (a) 1 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**8\/6720 - v**6\/240 - v**5\/30 - 5*v**2. Let s(y) be the third derivative of b(y). What is the derivative of s(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175853 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11332.\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 245\/(-21) + 6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -69.4 + -0.05\nAnswer: -69.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, -139, -368, -667?\n\"Answer: -35*t**2 - 54*t + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 180876703 to the power of 1\/2, to the nearest integer?\nAnswer: 13449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**8\/112 + 15*z**7\/7 - 57*z**6\/5 + 229*z**5\/10 - 153*z**4\/8 + 6*z**2 - 2*z - 231. Find h such that a(h) = 0.\nAnswer: -153, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((19 - 11) + (-1 - -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -12. Suppose 9*y + 46 = 10. Let c be (-1)\/y*(-35 - -7)\/(-7). Solve -5*q = -4*v - 6, -3*q + q - c = -u*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 r, and 1 y when three letters picked without replacement from {r: 5, h: 4, y: 1, e: 1, i: 3}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 11*t**4\/4 - t**3\/2 + t**2 + 66*t. Let s be w(1). Which is bigger: 125\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-36) - (-1)\/(-45). Which is the third biggest value? (a) q (b) -3 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/(m**(-1\/2)*m))\/m))**(3\/2)*(m\/m**(-2)*m*m)**(1\/30)*((m**(-5)*m)**(-3\/38))**(2\/9) assuming m is positive.\nAnswer: m**(189\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mjqqkvjkjmmrrj.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 595 - 599. Which is the closest to 0.1? (a) -1\/50 (b) u (c) -0.5 (d) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7391109.05 + -7391080.83962345. Let w = b + 148.78963875. Let f = w + -177. Round f to six dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let m(g) = -3*g - 3. Let a be m(b). Suppose 4*f = -5*x + 175 - 55, -2*x - 67 = -a*f. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 24*i**2 - 230*i + 5. Give p(10).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18156 - 18156.37971. Let g = 10.38 + -10. Let y = g + r. What is y rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/24 + 0. Let o(r) be the third derivative of 0 + 0*r + 0*r**3 - u*r**4 + 2*r**2. Let i(h) = -h. Give i(o(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -24, 0.4, -5, 3, -13 in increasing order.\nAnswer: -24, -13, -5, 0.4, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b + 2. Let z be h(0). Suppose -2*q - 5 = -7*q. Let a = q - -5. Sort z, 1, a in descending order.\nAnswer: a, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 0 + 3*o**2 - 3\/4*o**4 + 9\/4*o**3 + 0*o = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.808 - 23.808. Let h = 263\/50 + 6\/25. What is the closest to -1 in h, q, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbj when three letters picked without replacement from {y: 1, i: 4, e: 2, b: 3, f: 2, j: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 - 140. Sort -4, 4, t, -73.\nAnswer: -73, -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkviwvwevmvem. What is prob of picking 2 m and 1 v?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47205, 94404, 141597, 188784, 235965, 283140, 330309?\nAnswer: 377472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s + 18. Let f be s\/4*8\/(-6). Let n = f - 5. What is the smallest value in n, 3, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -914*w + 871*w + 188168. Calculate the highest common factor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110774196?\nAnswer: 2, 3, 13, 257, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 12*q**2 - 16*q - 35. What are the prime factors of z(-10)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.026 - 0.046. Put 0.1, -1, y, -2 in decreasing order.\nAnswer: 0.1, y, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 6)*(-98094)\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -81. Let x = w - -73. Let c = x - 37. Solve c*u = 4*u - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51516\/(-6678))\/((-3)\/(-7)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -1962912*a**4 + 1962669*a**3 + 1963155*a**2 - 1962669*a - 243 = 0.\nAnswer: -1, -81\/654304, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**2 + 4865*l + 2430 = 0 for l.\nAnswer: -486, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c - 12 = 0, -4*t - c + 11 = 0. Solve -2*j = t*d - 6, -4*j + d - 4 = -1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*b = -17*b - 474*b + 57660 for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 12 = -v, -3*v + 18 - 6 = -k. Let l(z) = -z**3 - 3*z**2 - 2*z - 1. Calculate l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -23855409.\nAnswer: 1\/2650601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 108 = 40. Solve 14 = -2*o + n*k, 4*o - 4*k = k - 19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -27\nAnswer: 13\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 15*y**2 + 7*y + 1. Let h be z(15). Suppose 0 = 8*o - 26 + h. Is (4\/6)\/(o\/(-345)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605)*-1)**2 + 0 + ((sqrt(605) + -1)*-4)**2)*1 + 4 + (1 + sqrt(80) + 5 - -5*(sqrt(80) - (sqrt(80) - 1*sqrt(80))))**2.\nAnswer: -64*sqrt(5) + 13221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 893548 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*m = -300, -2*b + 3*m - 2*m = -120. Suppose -b = -z + 13. Does 31 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 - k**2 - 3*k - 1. Let r(w) = 4*w**3 + 2*w**2 + 4*w + 1. Let o(f) = 4*m(f) + 3*r(f). Calculate o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16642*j + 3062143. What is b(-184)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, y: 5, f: 2, s: 4}. What is prob of sequence tf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*i - 53*i - 6 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 4. Let n be k(6). List the prime factors of 326\/7 - n\/14.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2323331120?\nAnswer: 2323331121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3178315 is divided by 3172?\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 169019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -2*d**7\/105 + d**4\/8 + d**2. What is the second derivative of x(a) wrt a?\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*n + 34 + 166 + 10. Solve 0 = -3*o - n*m - 12, -3*o = 6*m - 2*m + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237 + -321. What is the remainder when 152 is divided by (k\/18)\/(2 + 19\/(-9))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 51*o**4 - 3*o**3 - o**2 + 5*o. Let m(p) = 52*p**4 - 2*p**3 + 3*p. Let w(z) = 2*d(z) - 3*m(z). What is the third derivative of w(q) wrt q?\nAnswer: -1296*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-5)\/105*7*(-19)\/13395*15?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295 + -291. Solve -5*w = -3*t + u*t + 5, -20 = 4*t - 2*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.04, -0.6, 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -36\/13 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -102 + 512\/5. Let w(f) = -f**3 - 7*f**2 + f + 3. Let k be w(-7). Let u be ((-2)\/(-4) - 0)*k. What is the biggest value in u, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 64, 4, -31 in ascending order.\nAnswer: -31, 3, 4, 9, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 11*f**2 - 10*f - 8. What is p(9)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*c - 217 - 19 = 0. Let i = 6 + -5. Are i and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n - 6. Suppose -j - 3 = -5*s - 9, 0 = 2*s + 4*j + 20. Let x = s + -2. Is 13 a factor of a(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-2)*(-12)\/9. Let o = 14 + t. Solve o = -4*f + 7 + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, 589, 1599, 3013, 4831, 7053?\n\"Answer: 202*i**2 - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22 + 181299?\nAnswer: 181277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o - 28 = 144. Let s(t) be the first derivative of -10\/13*t - 2\/13*t**3 + 27 + 1\/26*t**o - 9\/13*t**2. Suppose s(u) = 0. What is u?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b + 20 - 41 = 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23300 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 222?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (316\/8 + 1)*10. Suppose 168 = 25*v - 13*v. Suppose -c = -v*g - g. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1324 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -12*h**2 - h - 3. Let s(z) = 14*z**2 + z + 5. Give 5*o(f) + 4*s(f).\nAnswer: -4*f**2 - f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 20*l**3 + 4*l**2 - 2*l + 311. Let w(q) = -q**3 - q**2 + 4. Let j(c) = -b(c) - 4*w(c). Differentiate j(t) with respect to t.\nAnswer: -48*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19669504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5292*x - 147. What is the units digit of h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8663219km in nanometers?\nAnswer: 866321900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 + 3*i. Let m = -17 - -14. Let o(d) = -1 - d**2 + 2 - 4*d**3 - 1 - 2*d. Give m*o(c) - 2*f(c).\nAnswer: 2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*v - 7 + 8*v - 1)*(612*v + 609*v + 26*v + 193*v) as m + i*v**2 + a*v and give i.\nAnswer: -1440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjjf when four letters picked without replacement from kjkfpjkffccz.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:23 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-126)\/(-4)*(-4)\/(-3). Let y be (-6)\/(-28) - (-12)\/u. Let s be (-10)\/(-6) + 2\/(-3). Which is the closest to s? (a) -5 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2265, 2268, 2273, 2280, 2289?\n\"Answer: r**2 + 2264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44317 greater than 44318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 9*y**2 - 4*y - 2. Let u be s(5). List the prime factors of (3 + 1496\/12)*u.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (81 - 4 - -2 - 3). Let g = k - -75. Solve c = -0*c + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k*o**2 - 2*k*o + 48042*k + 2*o**2 + 118*o - 2 wrt o.\nAnswer: 6*k*o - 2*k + 4*o + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19717 is divided by 1641?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -77\/18, -0.34, 0.2?\nAnswer: -77\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -4\/3 (c) 9 (d) -1 (e) -0.26593 (f) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592121673 is divided by 4308?\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 42038213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1575) - (sqrt(1575) + -1 + -4))*6 + -5)**2.\nAnswer: -2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127839291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24.9? (a) -12\/11 (b) 5 (c) 12 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7775 - -0.7375. Let i = -3 - -6. Which is the third biggest value? (a) p (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1872.25 - 1530.1. Let y = a - 4.15. Let b = -337.999829 + y. What is b rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123558801?\nAnswer: 3, 41186267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/9 - (-1580)\/(-6). Let f = -2371\/9 - y. Let p = -0.8 - -0.3. Which is the second biggest value? (a) 3 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 25\/(-10))*-10. Suppose 3*m = -2*l + 6*l - 827, 819 = 4*l + n*m. Let c = l - 102. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 366453 times 4\nAnswer: 1465812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 10*z**2 - 8*z + 5. Let l be p(-10). Let w be 5\/(-20) - l\/(-4). Solve -w = 4*x - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*n = -231957 - 25377020. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/(-416)*-13*7\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 - 469*y + 233*y + 236*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 10.2. Let g = n + 1.2000036. Round g to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4082 (base 14) to base 2\nAnswer: 10101101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -110, -98, -88?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6284, -12565, -18846, -25127, -31408, -37689?\nAnswer: -43970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14, 8, 12, 32, 74, 144, 248, 392?\n\"Answer: c**3 - c**2 - 10*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.143, 0.4, 0.06, -2, 5 in descending order.\nAnswer: 5, 0.4, 0.143, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 3. Suppose -5*o + 10 = -z - a*z, 5*o + 5*z - 60 = 0. Let w = 97 + -80. Solve 0 = -c - 3*i + w, -3*c - 2*i + 23 = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 - 4*f**3 + 4*f**3 + (-2*f + 0 + 0)*(0*f**3 + 0*f**3 + 2*f**3) - 5*f**4 + 21*f**4 + 26*f**4.\nAnswer: 42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + 22. Let b = 46.55 - z. What is b rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -367*x + 1. Let y(o) = 20*o + 8. Determine z(y(f)).\nAnswer: -7340*f - 2935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -329 + 336. Let q be (-2 + -1)*(-8)\/3. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122423 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 the first derivative of 28*b**3*r - 30*b**3 + 2*b**2*r - 4*b wrt r?\nAnswer: 28*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtqttitttttgq. Give prob of picking 1 q and 1 g.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.047 - 0.053. Let w = o - -1.1. Let s = 11\/105 - -2\/21. Sort s, w, 0.3.\nAnswer: w, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) 4 (c) -2\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c. Let w(k) = -5*k**2 + 7*k + 7. Let t(f) = 2*f**2 - 3*f - 3. Let d(b) = -14*t(b) - 6*w(b). What is m(d(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 229259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 57 - 1049*o + 66 - 111 as c + q*o and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 30 = -10. Let c = 35 + s. Suppose 2*l + l - c = 0. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 78. Suppose 2*f - j*f = -36. Let h = 19 - f. Which is smaller: h or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1148237 is divided by 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 8457*r - 28268*r + 30 + 45.\nAnswer: -19811*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/105*-9 + 31\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/137 (b) 42 (c) 1\/9 (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)\/(k\/(k\/((k**(-8)\/k)\/k)*k)))\/(k**(-4)*k**5) assuming k is positive.\nAnswer: k**(77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:07 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*g + 2*g. Suppose 8*u - 13*u = g. Suppose u*t + 4*t = 240. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -9. Let k = -165 - b. Let u = k + 285\/2. What is the common denominator of u and 27\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-52)\/(-20) - 3)*-15. Suppose 5*o + n - 16 = 0, -k - 1 = -3*o + 2*n. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020773 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 248?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d**2 - d - 5396. Let u be b(0). Let q = 54069\/10 + u. What is the common denominator of 19\/22 and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*j + 39*j - 70*j - 150. Solve -2*r - 12 = -2*l, -3*r = -l + 4 + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 909166 by 1951.\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 9 - 26. Solve -b*f - 4*s = 13, -5*f - s - 4*s = 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btgcjcbgccscgcjcb. Give prob of picking 1 b, 1 t, and 2 j.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18 - 7) + (-7 - -1). Let x be (-4 + 3)*(1 - 1). Solve -c = -q*j + 12 - 5, 5*c - 3*j + 13 = x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/2203 and 47\/7.\nAnswer: 15421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17)*x)\/(x\/(x**(2\/5)*x))*((x**(-2)\/x)\/x)\/x**(-1\/20) assuming x is positive.\nAnswer: x**(-391\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide (-11)\/((-110)\/140)*4356\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 11:59 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -869*h + 134*h - 144*h - 1048*h.\nAnswer: -1927*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 9*n - 5. Let t(c) = -c. What is g(u) + 5*t(u)?\nAnswer: 2*u**2 + 4*u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -12.07. Let s = 7.81709 - 7.88709005. Let h = z + s. What is h rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4503 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 257, 586, 1047?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 6*r**2 + 78*r + 479. Let q be g(-6). Let c(i) = i**2 - 13*i + 20. Give c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -13*r + 11*r - 2*b, 2*b + 39 = -5*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 10. Let o(w) = -4*w - 20. What is -6*o(j) + 13*t(j)?\nAnswer: -2*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 0*x**3 + 7*x**3 + 3 + 6*x - 4*x**2 - 2*x**2. What is the hundreds digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36367.95 minus 53.376281?\nAnswer: 36314.573719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and -3824.00408.\nAnswer: -3823.94408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (14 + 5 + -11) - -17 - (-3 + 39).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73352151.\nAnswer: 3, 683, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3*(-4)\/(-9))\/((-12)\/(-90)). Solve 5*g = -4*w - 0*g + 7, 0 = 3*w - g - v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 77, -3, 5955, -5, 4 in ascending order.\nAnswer: -5, -3, 4, 5, 77, 5955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2728 - 2727 - 2730 - 2623 + 10808 + 4*c - c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3762*g - 266739 = 759*g for g.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 37. Let x be y(12). Suppose 325 = 3*f - 4*t, t = 6 - x. List the prime factors of f.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + s**2 + (2 - 2 - 34*s)*(2*s + 3*s - s).\nAnswer: -135*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2158 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11840 by -8.\nAnswer: -1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2\/5, 12, -0.3, -2\/9.\nAnswer: -18, -0.3, -2\/9, 2\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 8*z - 1. Let b(v) = -149*v - 2. Let l be b(-1). Let f = l - 141. What is s(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138 + 129. Is 509\/1 - (f - -8 - -7) a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/403 + -423\/4030. Which is the closest to -3? (a) -5 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {a: 2, t: 1, e: 1, w: 1, m: 1, o: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 513862 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 404 (base 10) to base 15\nAnswer: 1be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -1a2c321?\nAnswer: 1a2c320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(21\/(-34))*69\/2. Let b = d - -581. Suppose -2*w = 3*m - b, -2*m - m - 5*w + 205 = 0. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 - 2028*l**3 + 514539*l**2 + 1569828*l - 2082336 = 0?\nAnswer: -872, -4, 1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -809 + -81?\nAnswer: -88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 448754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -102, -147, -188?\n\"Answer: 2*p**2 - 55*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3086*s - 4 = -3082*s, 2*s + 44 = 12*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.277 - -0.109. Let m = -0.168145 - c. Round m to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102276079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-21)\/(g**(-5)\/((g*g*g\/(g*g**(-3))*g*g)\/g)) assuming g is positive.\nAnswer: g**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 18. Calculate the smallest common multiple of 60 and 3 - (28\/k)\/((-6)\/9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -3. Let x = -31 - w. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 24 = 5*g, 5*g - 100 = -7*p + 2*p. Suppose -p*b + 21*b - 2110 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r - 8466*r**2 + 2*r + 8467*r**2 - 10. Give i(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116868, -1, -2, -5, 1.\nAnswer: -116868, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k = -62*k + 784. Solve -8 = k*m - 5*m, 2*z - 12 = 2*m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 15 + 15. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -11 + (-7 - -2) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*a - 0*f - 10, 5*f - 18 = 4*a. Let o(w) = 1 + 330*w + w**2 + 3*w**2 - 341*w + w**2. Let l(t) = t**2 - 2*t. Calculate a*o(n) + 11*l(n).\nAnswer: n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 5*c - 30 = -40*n, 62 = -4*n - n + 3*c for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 u, and 1 a when three letters picked without replacement from uwxsxaaaa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11023866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/12 - 26\/3. Let k be t\/5 + (-6)\/(-10). Do k and -2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**4 + 560 + 3*p**2 - 2*p**4 - 561 - p**2 + 0*p**4 + 40*p to a*p**4 + i*p**2 + n*p**3 + k + d*p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14\/19 + -2497\/114. Find the common denominator of k and -95\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 - 88. Suppose -2*z + b = -5. Differentiate -83*v**3 + 83*v**3 + 22 - z*v**4 wrt v.\nAnswer: -88*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 58, 98, 138, 178, 218, 258?\n\"Answer: 40*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*w**2 + 17*w - 10*w**2 + 4*w**3 - 18*w - 6*w**3 + w**3 - 4 to the form a*w**3 + y*w**2 + t + i*w and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 231815083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 8436 = 111*u + 38*u for u.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -9 + 18 - 13 - 2*u. Give h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4585 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 20. Suppose 6*t - 16 = 2*t + 4*j, 0 = 5*t - j - 24. What is the nearest to o in -0.5, t, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 14*s**2 - 44*s + 10. Calculate the remainder when 898 is divided by r(7).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 4. Let p be u(-2). Suppose g - p = 1. Suppose -5*a = -3*j - 3 - 27, 3*a - g*j = 24. What is the remainder when 19 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001461 to five decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 1.23308?\nAnswer: 1.53308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -16296769 greater than -16296768?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**3\/9 - 2056*x**2\/9 - 12544*x\/9 + 33280\/9 = 0?\nAnswer: -8, 2, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004701087.\nAnswer: 13, 563, 137273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287411547 divided by -3.\nAnswer: -95803849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5399 - -4?\nAnswer: -5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2)*g)**(3\/29)\/(g\/(g\/g**(-1\/4)))**18)**(-25) assuming g is positive.\nAnswer: g**(-6375\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + k**2 + 4*k**2. Let v(p) = -573 - 571 - 6*p + 1144 - 4*p**2. Give v(u(q)).\nAnswer: -16*q**4 - 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i**2 + 7*i - 7. Let w(m) = 5*m**2 - 4*m + 4. Let n(z) = 4*l(z) + 7*w(z). Let d(f) = 2*f + 0*f + 0*f. Calculate d(n(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6280 or 2097071\/334?\nAnswer: 6280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/8 + 48*m - 381\/8.\nAnswer: -3*(m - 127)*(m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -3 + 0 - i**2 + 3*i**2. Let k(p) be the first derivative of -5*p**2\/2 - p - 1995. What is 3*k(y) + 4*t(y)?\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5963\/12 + -780145\/1572. Are 1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65, 133, 207, 287, 373?\n\"Answer: 3*a**2 + 59*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122951415?\nAnswer: 3, 5, 41, 199921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 6*p + 18 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-10))**29\/((((n\/n**(-17))\/n)\/n)\/n)**(1\/55))**(2\/49) assuming n is positive.\nAnswer: n**(-6386\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -409, -1730, -3975, -7150, -11261, -16314, -22315, -29270?\n\"Answer: -b**3 - 456*b**2 + 54*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 59\/77 - (-21 - 4131\/(-189)). What is the biggest value in 880, k, 5?\nAnswer: 880","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, w: 1, x: 2, q: 1, j: 2, h: 1}. Give prob of sequence jwqh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 326192 - 326189. Factor 18*k + 12\/7*k**2 - 2\/7*k**d - 112.\nAnswer: -2*(k - 7)**2*(k + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 6*k + 16*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 0 - 1) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 768067207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 238. Let v(s) = -s. Determine v(f(u)).\nAnswer: -3*u**2 + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.7 - 6. Let m = 19498 + -97038\/5. Let n = 90 - m. Which is the nearest to 2\/5? (a) n (b) 1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 - 0.33. Let z be (-19)\/36 - 4\/18. Sort u, z, -1 in descending order.\nAnswer: u, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + sqrt(198)*-3)\/sqrt(6))\/(sqrt(110)\/(sqrt(60)\/sqrt(6))) + 5 + 3.\nAnswer: -2*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 2*g - 6. Let d be h(2). Let z be d\/10 + (-93)\/15. Let c = -1 - z. Solve 0 = -c*y - 1 + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16745563 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - 2 + 2)*(-62*d**2 + 25*d - 18*d - 9*d).\nAnswer: 248*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(242)*-1 - sqrt(242)) + -5 + sqrt(242) - (-2*sqrt(162) + sqrt(162) - sqrt(18))\/(sqrt(99)\/(sqrt(11) - sqrt(11)*2))) + 4)**2*2.\nAnswer: -240*sqrt(2) + 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-101)\/606)\/(1\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + 96. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5052, 10096, 15138, 20178?\nAnswer: 25216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -115*b + 94453 + 20547. Calculate the greatest common factor of b and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -14*f**2 + 0*f**2 + 5 + 0*f - 6*f. Suppose -p = -24*n + 27*n + 11, -4*p - 5*n - 37 = 0. Let x(q) = -9*q**2 - 4*q + 3. Calculate p*x(h) + 5*i(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 11*f + 14. What is the common denominator of c(-4) and 1 - 1 - 17\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 592 and 5106?\nAnswer: 40848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 128 + 8*x - x + 106 + 4.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1476 = -16*f + 636. Does 33 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 79. Let i = 145.4 - 144.4. Which is the nearest to i? (a) 5\/6 (b) r (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58, -7, -360, -1145, -2506, -4587?\n\"Answer: -24*a**3 + 103*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5+161168\nAnswer: 161163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 313826 - 3\nAnswer: 313823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/2)\/z*z**(-2\/25)\/z assuming z is positive.\nAnswer: z**(71\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 11. Let i be y(-6). Let s be i\/(-15) - (-14)\/6. Solve -5*c - s*v - 1 = 1, 3*c + 2 = -2*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42759 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/304189 and 13\/7613?\nAnswer: 6996347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1\/((-20)\/15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 8:47 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/(-250)*(-35)\/2)\/((-3)\/12). Solve -6*g + 5 = -f*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15322 and -15263 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*h = -2 - 4, 5*h = 4*f - 8. Let y = 2 + f. Suppose -111 = -y*t - n, -5*t + n + 142 - 10 = 0. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13529219.79 to the nearest one thousand.\nAnswer: -13529000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t + 6365541 - 6363705 = 0 for t.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*q - 3*j, 5*q + 93*j - 2 = 91*j for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-33))\/(-47 + (-23255)\/(-495))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2. Let b(f) = 3616*f**2. Determine b(n(s)).\nAnswer: 57856*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597631 is divided by 399395.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34979, -69, 2\/17, 2\/5, 3\/2 in increasing order.\nAnswer: -69, 2\/17, 2\/5, 3\/2, 34979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*t - 172*t + 684*t - 164*t - 173*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 48 = 5*b. Let o be (64\/b)\/((-2)\/3). Find the second derivative of -2*t**4 - o*t + 3*t**4 + 3*t + 2*t wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + s = 2*g - 2, -4*g = 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1894285 divided by -863\nAnswer: 2195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -72, 9, 713 in increasing order.\nAnswer: -72, -3, 2, 9, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -8. Calculate the smallest common multiple of 1*(i + -3)\/(-3) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112366054 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 6:02 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -59. Let y be 3984\/14 - i\/70. Suppose m + y = -4*u, -5*m = 5*u - 3*m + 358. Do u and -70 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08498607756 to five decimal places.\nAnswer: -0.08499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Let l(q) = 2894235*q. What is l(k(z))?\nAnswer: -2894235*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1357 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301910903?\nAnswer: 347, 6633749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/7))**(-6\/11))**(-2\/133) assuming x is positive.\nAnswer: x**(-12\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*m + 24. Let y(g) = -g**3 - 14*g**2 + g - 19. Let f be y(-14). Let d = f + 37. Calculate the highest common factor of d and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 73004*s + 40225204. Give c(-551).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/12*(-1)\/40. Let s(h) be the third derivative of -1\/2*h**4 + 0 - p*h**6 - 1\/5*h**5 + 0*h - 4*h**2 + 0*h**3. Factor s(w).\nAnswer: -3*w*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 6657744*g + 6657746*g - 13315439*g.\nAnswer: -2*g**3 + 51*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*p = -2*x - 118*p, x - 5 = 4*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + x - 458 = 0, -5*o + 481 = 4*x - 273. Suppose 0 = -2*b - 9*b - o. Does 22 divide ((-1)\/(1\/29))\/(b\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.5100483 to 1 decimal place.\nAnswer: -99.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 - 11)\/(2 + -1). Is p bigger than -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 13. Calculate j(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 40054\/109 and 368 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-3298)\/(-291))\/(850\/(-225))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 6. Determine m(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(1 - 3))\/((-9)\/(-27)). Suppose 4*h - 2 = i*h. Put h, -3, -4, 4 in ascending order.\nAnswer: -4, -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -24. Let u be (3 + (p - -2))\/((-4)\/6). Solve 0 = -2*v - 5*j - 8, -4*j - 12 = u*v - 2*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.17254, 2, 40, -4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 106232?\nAnswer: 106235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.9 and 6290773?\nAnswer: 49697106.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w. Let p be c(0). Let k(b) be the third derivative of 0*b**3 + 0 + 1\/12*b**4 - 2*b**2 + 0*b**5 - 1\/60*b**6 + p*b. Determine y so that k(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -45. Let u = 162 + -95. Calculate the remainder when u is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*(9\/(-51) + 28416\/629).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 54. Suppose b = -3*o + 11*o. Solve -1\/3*i + o + 1\/3*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -83, -99, -215, -509, -1059, -1943?\n\"Answer: -13*s**3 + 28*s**2 - 9*s - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/7 + 70816*w**3\/7 - 1062540*w**2\/7 + 5313200*w\/7 - 8855750\/7 = 0. Calculate w.\nAnswer: -35423, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501760 is divided by 124628?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**3\/v)\/v))**(-14))**14 assuming v is positive.\nAnswer: v**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 + 6*r - 4. Calculate the remainder when 59 is divided by x(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + -3 + (sqrt(50) - (0 + sqrt(50) - sqrt(50))*6) + (sqrt(12) + sqrt(120)\/sqrt(10)*-3)\/sqrt(6)).\nAnswer: -10 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccexfyxyxcxyfhxfexf. Give prob of sequence yyex.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-250)\/60 + 3\/1)*15\/3360*32.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - (5\/(-4))\/((-27)\/(-351)). Suppose -5*w = -5*h + 500, -3*w = -0*w - 12. What is the highest common divisor of l and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from owowxjoiii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*k + 0 - 46*k - 27*k - 1 to the form p + l*k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Suppose -11 = -5*f + q. Let a be 0 - 3\/3 - -3. Solve a*n + f = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 23.0000176. Round m to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4930307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*u + 3*u, y = 4*u - 8. Put 6, y, 2 in descending order.\nAnswer: 6, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8520 and 131\/120?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*h = -49 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 + 2 + 1 + 12 is divided by (-58)\/(-10) - 63\/(-315).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4965, 1\/10?\nAnswer: 4965","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2555 in -4, 54\/11, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*w**4 - 2*w**4 - 2*w**2 - w**2 wrt w.\nAnswer: 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2323126830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 122*x**7\/5 - 337*x**5\/60 - x**4\/3 + 271*x**2 - 7*x. What is the third derivative of h(v) wrt v?\nAnswer: 122976*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147254 or 147253?\nAnswer: 147253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-8) + 129\/10 + (-5 - 4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = w + 2*y, -y = 4*w - 15 - 4. Suppose 0 = -4*s + 8*s. Find the second derivative of s*b**3 - b + b**3 + w*b + b wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 552, 1850, 4004, 7014, 10880, 15602?\nAnswer: 21180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 21\/6)*(-2296)\/(-98). Let h be 315\/(-189) - q\/(-42). Factor 2\/7*d**4 + 0 - h*d**3 + 0*d**2 + 0*d.\nAnswer: 2*d**3*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h + 15. What are the prime factors of j(-19)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.188 + -0.688. Let c = -6 - -5.7. What is the second biggest value in 5, -3, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -746, -2698, -5858, -10226, -15802?\nAnswer: -22586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 113833 in 7, 0, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-55)\/15 - -4*(-1)\/(-6). Let k be 5 - -10*a\/(-6). Suppose k*m - 120 = 6*m. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10553581, -21107160, -31660733, -42214300?\nAnswer: -52767861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-54) - -20) + -20 + (-1)\/9.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 144\/(-64)*8\/(-6). Solve w = -x*l + 3*w - 8, -4 = -4*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.707129 to 2 decimal places.\nAnswer: 38.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 683, 932, 1175, 1406, 1619, 1808?\nAnswer: 1967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*g + 1 - 1 + 6.\nAnswer: -7*g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 14*u**2 + 16*u + 5. Let d be j(-6). Let k = 22 + d. Suppose -21 = -k*a + 4*l, -3*a - 2 + 38 = l. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2981842, 5963696, 8945562, 11927446, 14909354, 17891292, 20873266?\n\"Answer: u**3 + 2981847*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((4 - 4) + 2)*5. Suppose c + 6*b + 6 = b, -b = -2*c + h. Suppose c*r = 4*l + 12, l = 2*l + 3. Solve r = g + 3 - 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 81. Let n(l) = 135*l - 743. Let v(j) = 24*j - 124. Let u(c) = -3*n(c) + 17*v(c). What is -5*u(d) - 8*x(d)?\nAnswer: d + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -s + 4*b, 0 = 4*s + 3*b + b + 140. Let z = -7 - s. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 12:01 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/610*(6 + -10 - (-36)\/6).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**8\/420 - 11*f**4\/24 + 5*f**3\/6 + 4*f. Let n(b) be the second derivative of r(b). Differentiate n(l) wrt l.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/234 + 27120\/520\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, 3, -4.\nAnswer: -4, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 26*g**3 - 16*g**2 + 10*g - 15. What is the remainder when h(3) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383846920 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9912 - -9943. Let r(o) be the third derivative of 7\/6*o**4 - 4*o**3 + 0*o - c*o**2 - 1\/15*o**5 + 0. Factor r(h).\nAnswer: -4*(h - 6)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 5*w**2 - 1 - 2 + 1 to the form t + i*w**2 + m*w and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 2\/9 (c) -33 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 1\/3*z**4 + z**3 - 1\/20*z**5 + 0 - 3*z + 9\/2*z**2. What is the units digit of y(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3582 is divided by 409?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five quarters of a day?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1399156 is divided by 465622?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-3*-6 + (sqrt(102) - sqrt(102)*2*2))\/(5*-4*(sqrt(216) + sqrt(216)*1)).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 < -1873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, 1, -125 in ascending order.\nAnswer: -125, -3, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 63350*p\/3 + 2346688\/3.\nAnswer: -2*(p - 31712)*(p + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32055*k + 32142*k = 5220 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 747, 741, 735, 729, 723, 717?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y + 38. Let t be z(10). Let n be 1\/(11\/12 - t\/16). Which is the third smallest value? (a) 1 (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 274*u**3 - 1572*u**2.\nAnswer: -2*u**2*(u - 131)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -1, -5, -3\/17, 4.39?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.979 - -0.021. Let q = -35 + i. Let r = 40\/9 + -43\/9. Which is the closest to q? (a) r (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 235\/4 - 17593\/300. Find the common denominator of p and -46\/165.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/112*-35*3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1931*d**2 - 205*d + 342373 wrt d.\nAnswer: -3862*d - 205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(11)*-2 - (sqrt(33)*1)\/sqrt(3)) + (sqrt(88) + (sqrt(88) - -1*sqrt(88))*3)\/(5*sqrt(24)\/sqrt(3)).\nAnswer: -8*sqrt(11)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -17*w**3 + 10*w**2 + 3*w + 3. Let m(l) = -l**2 + l + 1. Let h(t) = 3*m(t) - n(t). Find the third derivative of h(g) wrt g.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179 and 326278873?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -23*c**6\/2 + 4015*c**3\/6 - 6110*c**2. Differentiate y(x) with respect to x.\nAnswer: -4140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15*60\/(-2). Suppose 0 = x - w + 5, 3*x + 3*w + w = 20. Suppose -2*p = -u - 8, p - 2*u = 3 + 1. Solve -p*k + b + x = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -9*x**4 - 1479*x**3\/2 + 8355*x**2 + 19596*x = 0.\nAnswer: -92, -2, 0, 71\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1753\/7189 - 21\/79. Are z and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 8 + 10)*(0 + 0 - m) to o*m + p and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**3 - 28565*u**2 - 101*u - 111.\nAnswer: -12*u - 57130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v**3 - 3*v**2 + 4*v - 3. Let l(f) = -41*f**3 - 13*f**2 + 17*f - 13. Let c be 53\/2 + (-16)\/(-64)*-2. Give c*j(s) - 6*l(s).\nAnswer: -14*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7845 divided by 523.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 2*g + 75, d - 16 - 70 = 5*g - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-1*1 + 0.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, t: 1, m: 1, s: 2, k: 4}. Give prob of sequence kmh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 3 + 27 = 4*y - 3 - 29, -2*y + h + 13 = -0*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2 + (1 - -1). Let u(a) = a + 1. Let j(m) = -2*m + 103. Let x(y) = k*u(y) + j(y). Is x(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -419 <= -419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 604 + -601. Let f be 5 - (-5)\/(-25)*27. Which is the biggest value? (a) q (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2815 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 415, -1, 0 in increasing order.\nAnswer: -1, 0, 5, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 288507943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5866 and 602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1956 and -25.8254876?\nAnswer: 1930.1745124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1333 (c) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35574 + 35572. Put -403\/3, h, -5, -2\/9 in decreasing order.\nAnswer: -2\/9, h, -5, -403\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 4 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10829 to 3 decimal places.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ann when three letters picked without replacement from {a: 1, u: 8, n: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.11, -259\/2, -4\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4 + 614*v**3 + 6*v**4 + 63*v**3 + 485*v**3 - 11*v**4 - 578*v**2 wrt v.\nAnswer: -48*v + 6972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537508, -537513, -537518, -537523?\nAnswer: -537528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 678840 + -101929. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 1. Let i = 5 - j. Solve -1 - 7 = -i*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 7, -1 in descending order.\nAnswer: 7, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060505 is divided by 176557?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m**3 + 2*m**2 + 2*m - 5. Suppose -30 = -5*q - q. Let v(n) = n**3 + 1. What is q*v(l) + g(l)?\nAnswer: l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -124.9. Which is the closest to -2\/5? (a) f (b) 0.3 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 1558.\nAnswer: -1713.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/24)\/(88\/(-16)). What is the closest to 0.05 in -3, n, 1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 10*q + 1050 = 0. What is the remainder when q is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 4 + -5)*18. Suppose 3*o - l = o. What is the greatest common factor of o and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 349 - 341. Differentiate 0*r**2 - 56 + 221 - x*r**2 + 2*r**2 + 15*r**4 + 4*r**3 wrt r.\nAnswer: 60*r**3 + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1153.1 + 1065. Let i = n - -88. Let r = 4 + -6. Which is the closest to r? (a) i (b) 2\/11 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6122027896?\nAnswer: 2, 17, 79, 569809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k. Let c(z) be the second derivative of -z**4\/6 - 3*z**3 + 3*z - 103. What is c(q(r))?\nAnswer: -32*r**2 + 72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203907055 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 76*a**3 + 100*a**2 + 5*a - 32388681?\nAnswer: 228*a**2 + 200*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73404397 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 16a?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145815 is divided by 69592?\nAnswer: 6631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 22. Let x be a(22). Suppose x = -3*q - 3, q = -2*n + 4*q + 35. What are the prime factors of n\/(-6)*108\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*1*-1 + (-4 - -4). Let n be (-132)\/34 + g\/17. Let b be 8\/2 + (-240)\/n. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/10 - 0)\/((-32)\/(-2080)). What is the highest common divisor of p and 1352?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 173, 337, 477, 581, 637, 633, 557?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346 - 345. What is the closest to 5 in -3\/4, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 71 - (1 + 6) - -23?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-45 - (43 + -41))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:04 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -y + m, -y + m = y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27\/10 - -23\/10. Let r = 41 - 124\/3. What is the second biggest value in c, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.4 - 19. Let g = t - -3. What is the third biggest value in g, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-44))\/(-13)*-2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 - 2)\/((-1)\/(-192)*1). Suppose -v = -13*o - 304. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 16.192. Let n = d - -0.008. What is the biggest value in n, 2\/3, 0.09?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*2 + 288\/(-324)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + -1 + sqrt(80) + sqrt(80))**2 + 4 + 3.\nAnswer: -338 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and 0.0903.\nAnswer: -0.13545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p + 2. Let l(q) = -q - 1. Let y(u) = -d(u) + 4*l(u). Let k = 2535 - 2544. Let v be y(k). Solve 4*b - b + 11 = 2*j, -3*b = v*j - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-48)*(-2)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -29, 4\/5, -2, 1\/22 in decreasing order.\nAnswer: 7, 4\/5, 1\/22, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -w - 34. Suppose 0*p + w = 5*p. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 18*a**2 + a - 1. Let v be t(1). Let r be (12\/v)\/((-2)\/(-6)). Let w(o) = r*o**2 + o**3 - 1 + o - 7*o**2 + 2 + 3. Calculate w(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + 3*z)*(-2*z + 4*z - z) + 46*z - 46*z - z**2 + (-4*z + 5*z - 2*z)*(-z + z + 3*z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/9 + 19*n**3 - 673*n**2\/9 + 93*n - 334\/9 = 0.\nAnswer: 1, 2, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*f + 3*f = 11, -2*f = 5*r - 20. Suppose -g = -3*g + 4. Suppose -h - h**r + 0*h + g*h = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115149327581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, u: 15}. What is prob of sequence xuxu?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -239006283\/10733240 - -1\/383330. Let q = 145\/8 + y. What is the common denominator of q and 31\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 + 1 - 122*o**2 + 40*o**2 + 2*o + 52*o**2 + 41*o**2 + 28*o**2 to h*o**3 + j*o**2 + a + g*o and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -3556.4\nAnswer: 320.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(13) + (sqrt(13) - (0 + sqrt(637))) + sqrt(637) + 3)*2)**2.\nAnswer: 32*sqrt(13) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-72)\/5)\/3)\/((-324)\/(-25515)*-21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/14)\/(0 - 10\/(-35))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -29. What is the remainder when 33 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/91 + (-16)\/(-42). Factor -2\/3 + 4\/3*d - b*d**2.\nAnswer: -2*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s. Let z(x) be the third derivative of x**5\/60 - 1057*x**3\/6 + 1910*x**2. Determine z(l(a)).\nAnswer: 4*a**2 - 1057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(153)*-4)\/(-4*1*sqrt(441)) + -5.\nAnswer: -5 + 18*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 + 2*f**2 - 2*f**2 + (3 + 0*f + f - 5*f)*(-3 + 0 + 1 + 7 + 1 - 4 + (1 - 4 + 4)*(-2 + 3 + 0))*(-33*f + 33*f - f**2).\nAnswer: 16*f**3 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 15 = 5*y. Calculate the common denominator of -61\/8 and 12\/(-88)*35\/y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 47632*z + 53695860.\nAnswer: -4*(z - 1037)*(z + 12945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -23*c**5\/120 + 7*c**3\/6 + 11*c. Let h(m) be the second derivative of w(m). Let u(i) = i**2. Calculate h(u(j)).\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2712.527 years in centuries?\nAnswer: 27.12527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - ((-4)\/30 + (-2284)\/(-30)). Let q be (-2)\/8 + y\/(-44)*3. Solve -3*p + 14 = -4*c, 5*c - q = -4*p - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 - 3*o**2 - 3. Let f = 29 - 26. Let h(r) = r. Let q be h(f). Suppose -1 = 4*a + q. Let n(d) = -d**3 - d**2 - 1. Calculate a*m(y) + 3*n(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**5 + 156*l**4 + 1185*l**2 + 2*l + 2752607 wrt l.\nAnswer: -20*l**3 + 1872*l**2 + 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9552.148 - 9590. Round y to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t + 94. Let w(m) = -92*m. Give w(z(n)).\nAnswer: -184*n - 8648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6581, -9937, -13293, -16649?\n\"Answer: -3356*g - 3225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 5 (c) -0.116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 + 82. Let x = u - -21. Let c = 28.9 + -29. What is the closest to c in x, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9\/2)*s**(-21))\/(s\/(s*s**(-3\/8)))**18 assuming s is positive.\nAnswer: s**(-129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26517724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3096*k**3 - 11*k**2 + 5*k + 12. Let w be p(-13). Suppose q - w = 2*m - 0*q, 0 = 2*q. Round m to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 + 12*r - 27. Let c be o(5). Let p = c - 53. Calculate the lowest common multiple of p and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**2 + 44*h - 96 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0052346989 rounded to four decimal places?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**19\/(x**(-10\/11)\/x))\/(x**3*x*x**(-3\/38)) assuming x is positive.\nAnswer: x**(7101\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -5, 4, 3, 0, 1609 in decreasing order.\nAnswer: 1609, 4, 3, 0, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Let u be 9\/n*(-2)\/6. Let j(f) = f + 5. Let h(m) be the third derivative of m**3\/6 - 10*m**2. Give u*j(y) - 4*h(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**3 + 48*t**2 + 8*t - 9. Let y(r) = -r**3 + 10*r**2 + 2*r. Calculate -5*y(u) + z(u).\nAnswer: u**3 - 2*u**2 - 2*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -100909.\nAnswer: -105\/100909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33388?\nAnswer: 2, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1380656230 + 0?\nAnswer: 1380656230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.402 - 0.012. Let i = f - 2.72. Let g = -6 - -1. What is the smallest value in g, -1, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {m: 1, w: 4, t: 1, g: 5, s: 1}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:16 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000 (base 2) in base 7?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 36 = 4*x + 4*k, -35 = -5*x + 5*k. Let d(s) = -s**3 + 8*s**2 + s - 7. Calculate the remainder when (6 - 5) + (1 - -1) is divided by d(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465536 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 + 89. Let t be (-2 + 5\/(-6)*-2)*-6. Calculate the highest common factor of i and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, 202, 768, 1874, 3700, 6426?\n\"Answer: 30*m**3 - 4*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 + 7. Let a be i(0). Suppose x - 2*m = 13, -x + 0*m + 4 = m. What is the units digit of (-2)\/a - (-9)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 26528538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 6:32 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 3*t - 104 = -4*z, 3*z - 57 = -4*t. Suppose v = -4*b - 0*v + 17, 0 = -5*b - 5*v + 25. Solve 0 = h - 5*u + 5 + z, b*u = 5*h + 35 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**5*o)*o**(1\/5))**(13\/2))**21)**(2\/121) assuming o is positive.\nAnswer: o**(-6552\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b - 2. Let g(c) = 12*c - 4. Calculate -6*g(y) + 11*i(y).\nAnswer: -6*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*j - 8571 - 7713 = 5343 - 1581 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1407917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-24))\/(2*-3*25\/(-120))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4) + 387\/12. Let g = 19 + s. What is the highest common factor of 78 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 5. Let x = 2.3 - 0.3. What is the third biggest value in i, x, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 175*u**4\/12 + u**3\/6 + 121*u**2 - 29*u. Differentiate p(a) with respect to a.\nAnswer: 350*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - w - 1. Let u(g) = -2*g**3 - 2*g**2 + 2*g + 4. Suppose m = 5*n - 7*n - 12, 2*n - 5*m - 12 = 0. What is n*t(a) - u(a)?\nAnswer: 2*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 - 613\/4. Let i = 0.47 + 0.42. Let o = i + -0.69. Sort 0.4, o, w in increasing order.\nAnswer: o, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-5 - 2) - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -224.8 + 225.8. Which is the closest to -2\/7? (a) -55 (b) 3 (c) q (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 7, 28, 79, 172, 319, 532, 823?\n\"Answer: 2*r**3 - 3*r**2 - 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in decades?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 19 - 22687*i + 11368*i + 11320*i - 34 + 15.\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13470 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w + 207 = -73*w - 451 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -736 divided by 46\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2137 + -3)*((-6)\/(-30) - (-111)\/(-30)) a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.07, 1\/2, 0.07.\nAnswer: -18, -0.07, 0.07, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + r**2 - 2*r**2)*(3 - 3 + 2*r**3) - 3*r**5 - 2*r**5 + 3*r**5.\nAnswer: -10*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**3 - 29*i**3 + 6*i + 18*i - 24*i.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 + 96. What is the smallest common multiple of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1446405706 and 0.4.\nAnswer: 0.2553594294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 85011320?\nAnswer: -85011325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**0\/t)\/t*t*(t\/t**(3\/8)*t*t)\/t)**(2\/13) assuming t is positive.\nAnswer: t**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -533.53887 - -485.5357. Let m = b + 48. What is m rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*s - 2*s = 0, s = -5. Suppose -3*u + 8*p = n*p, 0 = -5*u - 4*p + 27. Solve u*i = w - i + 8, 0 = w - 3*i + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1240 and -99\/1280.\nAnswer: 39680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -139684*m**2 + 282*m - 94. Let z(w) = -4506*w**2 + 9*w - 3. Determine 3*r(a) - 94*z(a).\nAnswer: 4512*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -w - 3*i, -395*w + 3*i - 2 = -397*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-16)\/c**(2\/33)*c**(1\/28)\/c*c\/c**(-2\/21) assuming c is positive.\nAnswer: c**(-14719\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2019052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-60)*6 + 3\/(-15). Solve t*c = -4*g, 2*c + g - 6*g - 18 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -298, -269, -240, -211, -182?\n\"Answer: 29*c - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -738.1 - -737.9. Let o be (21\/14)\/(3\/(-52)). What is the nearest to a in -4, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -14. Let r be (-2)\/((-2)\/8*1). Suppose -2*c + c + r = -l, 5*l - 2*c = -31. Sort y, 0, l in descending order.\nAnswer: 0, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1\/4, -186\/11, 0, 15, 8 in decreasing order.\nAnswer: 15, 8, 3\/2, 1\/4, 0, -186\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 1:38 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24481673?\nAnswer: 131, 186883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/310 and -9\/20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from pppvcppkvtjjptvpv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/76 and 79\/2420?\nAnswer: 45980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170624\/(-186))\/86*117\/(-13).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -349000 or -349001?\nAnswer: -349000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 14*w**2 + 14*w - 17. Let c be z(-15). Sort -4, c, 1 in ascending order.\nAnswer: -4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -108. Solve -3*m + j = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 0. Let i = 270 + -274. What is the third smallest value in y, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343335 divided by -47.\nAnswer: -7305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*r - 14, 1703*r - 1683*r - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5725, -5848, -5969, -6082, -6181, -6260, -6313, -6334?\n\"Answer: t**3 - 5*t**2 - 115*t - 5606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1632 = -548*h + 599*h for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from vywvevwwwcwp?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -224, -348, -472, -596, -720?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -j + 73. Let p = j - -26. What are the prime factors of p?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8*a + 834 = 0. Let k = -125 - a. Calculate the least common multiple of k and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58023 is divided by 50.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2449*r**2 + 735*r**2 + 2626*r**2 + 59*r**2 as p*r + b*r**2 + z and give b.\nAnswer: 5869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 5*o**2 + 2*o**2)*(-30*o**2 - 684*o + 684*o) - 3*o**4 + o**4 + o**4.\nAnswer: 59*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*w - 21. Suppose b + 5*a - 7990 + 2964 = 0, 5*b + w*a = 25230. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*g = -13*r + 182*g - 33, -11*r - 2*g = -14*r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - h**2 - 2*h + 4. Let u(c) = c**3 + 2*c**2 + 2*c - 4. Let i(n) = 3*l(n) + 2*u(n). Let z be (-4 - -5)\/((-2)\/6). List the prime factors of i(z).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 7*g - 63 = 0. Suppose g*t = 58 - 22. Suppose 12 = -t*j - 0. Sort j, 2, 5 in descending order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -13. Suppose -5*m - 2*v = -91, -116 + u = -5*m + 5*v. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 27887*h**3 + 5 - 55773*h**3 + 32*h**2 - 67*h + 23 + 27887*h**3. Calculate j(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.5 less than -8681631186?\nAnswer: -8681631231.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/11 - -21\/22. Let b be 2\/(-7) - (-16)\/154. Let m be (-2)\/6 + 0\/23. What is the closest to 1\/2 in m, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 60. Calculate the remainder when 47 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v + 12*v - 4*v.\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 1. Let n(b) = -13*b**3 + 2. Give n(y) + 2*v(y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -107*a + 93*a - 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80\/32 + 6\/4. Suppose -5*b + 0 - 3 = -n*w, -2*w - b + 5 = 0. Solve -w*k = -7*k - o + 20, 3*k - 4*o = -11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*s + 223*s - 140*s.\nAnswer: -75*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-70))\/((-15)\/(-7)). Which is the closest to -1? (a) -0.5 (b) 0.1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(2\/(-4)). Which is greater: m or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -3*k + 86. Find the second derivative of 269*o**2 + 31*o**k + 9*o**3 - 10*o - 269*o**2 wrt o.\nAnswer: 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2070 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -27. Let a be 10\/(2\/j*(5 - 7)). Calculate the greatest common factor of a and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -125 - (-165 - (-33 + 14)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*-1 + sqrt(15)\/sqrt(3)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, -1, 0.1, 106\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 6*l**2 + l. Let m be k(7). Let p be 52\/m - (-14)\/21. Which is the closest to -1? (a) 2\/3 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 8. Is 3*s - (-19 - -2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1155989077399 + 428637281933093869\/370797. Let o = -2\/17657 - c. Calculate the common denominator of o and -22\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -46*g**3 - 6*g. Let f(h) = -15*h**3 - 2*h. Let t(q) = 8*f(q) - 3*i(q). What is the second derivative of t(j) wrt j?\nAnswer: 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -133, -296, -523, -814, -1169, -1588?\nAnswer: -2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -10.2\nAnswer: -61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9389*s**2 + 3473*s**2 + 2951*s**2 + 2949*s**2.\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 5*a - 29.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-75)\/24))\/(52\/325)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 6*b + 2. Let s be l(-6). Suppose -3*g - 962 = i - 5*i, 474 = 2*i + s*g. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {e: 5, o: 12, d: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1224 and 408?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97206333 divided by 7231?\nAnswer: 13443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 451 - 433. What is the least common multiple of a and (34\/4)\/(2\/8)?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 4*h - 8. Let t(k) = -5*k**2 - 19*k - 41. Let l(j) = -2*t(j) + 11*w(j). Let f be l(-5). Which is smaller: -3\/7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.02 - -4. Let y = m - 12.98. Let d = y + 13.00013. What is d rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1359 + -793. Let f = h + -508. What is the remainder when f is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 14. Let n be k(12). Let c(m) = m**3 + 1 + 2*m - m**2 + 0*m**2 - 5*m**n. Calculate the remainder when 38 is divided by c(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -995 + 995 - 11*b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 4:43 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(208) + -1 + 4 + -5).\nAnswer: -15 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + -1 + 2 - -27.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20162 (base 13) in base 4?\nAnswer: 32000123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**3 - 4*g**2 - 112*g + 14. Let x(p) = -5*p**3 - 5*p**2 - 111*p + 18. Calculate 4*m(c) - 3*x(c).\nAnswer: -c**3 - c**2 - 115*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528a1 (base 13) to base 5.\nAnswer: 14224212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/15*-1)\/((-195)\/819).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 + 1031*r - 1019*r - 103*r**2 - 757*r**2 wrt r.\nAnswer: -1720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 401*q**2 + 401*q**2 + 506*q.\nAnswer: 2*q**3 + 506*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*d - 12, -2*d = y - 0*y + 3. Let m be -1 - -2 - (2 - 0 - 0). Let w be 5 - ((-4)\/(-8)*-2)\/m. Put y, w, -5 in ascending order.\nAnswer: -5, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7377, -7412, -7473, -7560, -7673, -7812?\n\"Answer: -13*k**2 + 4*k - 7368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/3 - 505*g\/3 + 21150 = 0. Calculate g.\nAnswer: 235, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1274 - 720. Suppose n + 2*n = 5*c + g, -c = 3*n + 118. Let f = -109 - c. Solve -2*i + 4*o = -22, 3*i - 1 = o - f*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -3.2. Let m = -3.025 - v. Let o = m - -0.048. Round o to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from obananyanbabbbybbyb.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-12) - 6)*(-5 - (-8 - -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 m, 1 b, and 1 f when four letters picked without replacement from fffffmbfmfzfz.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3325 + 3327. Does v = -905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 - 1 + 5*b**3 - 8*b**3 - 1 to c*b**2 + t*b**3 + z + q*b and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e31b - -3?\nAnswer: 2e31e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94 + 8 = -13*j + 65*j - 106 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90576522.\nAnswer: 2, 3, 1677343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2004324, -2004325, -2004326, -2004327, -2004328, -2004329?\n\"Answer: -a - 2004323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrrv when four letters picked without replacement from {v: 4, r: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15864 (base 10) to base 9\nAnswer: -23676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/((-136)\/(-17)))\/(48\/112)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -15*a - 1563. Let v(h) = h. What is g(v(b))?\nAnswer: -15*b - 1563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5+-33.144058\nAnswer: -38.144058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8909643 to 2 decimal places.\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22928378181*b**2 + 4 - 3*b**3 + 22928378181*b**2 - 10*b**3 - 2.\nAnswer: -13*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 1727*g + 206 = 1722*g, 5*w - 3*g = -g + 74 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -321 - -1633975.\nAnswer: 1633654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1771 and 7667?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = 39 - 339 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**(-2\/15)*b*b)*b)\/(b*b*b**(-14\/5)))\/(b\/b**0)**3 assuming b is positive.\nAnswer: b**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 - 66 - (-1 + 0 + -3 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9\/19, -1.307, 12, -2\/3?\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 480227 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115552044?\nAnswer: 2, 3, 479, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -6.\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {p: 11, s: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050150607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10*(-6 - -4 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 8. Let p(t) = -t**3 - 21*t**2 - 24*t - 18. Let z be p(g). Suppose 0 = -b + z + 35. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-8))\/((-2)\/(-4)). Let w be -15*c\/((-18)\/16). Suppose -w = -5*d + 3*b - 2*b, -2*d - 5*b + 16 = 0. What is the remainder when 15 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1110, -1121, -1138, -1161, -1190, -1225, -1266?\n\"Answer: -3*j**2 - 2*j - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32381282704*a**2 + 1079688*a - 9.\nAnswer: -(179948*a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (0 - 3 - -2). Solve -3*m - 4*p = -22, 8 = -3*p + w*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/66 and -47\/1446.\nAnswer: 15906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.14, 3, -1\/17, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-91)\/(-2))*(-616)\/(-176)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34 * -0.4\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2 + (-34 - 21 - 47)*(0 - 20 + 1))*(0 + 0 - 2)*(2*q - 5*q + 4*q).\nAnswer: -3872*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u + 331 = 131 + 128 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let c(h) = 7*h - 8. Let l(p) = p - 1. Let z(n) = -4*n - 4. Let d be z(-11). Let w(f) = d*l(f) - 5*c(f). Calculate i(w(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 81 = 56 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f**3 + 22*f**2 - 41*f - 4. What is the least common multiple of n(2) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343060248.\nAnswer: 2, 3, 83, 172219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 - (140\/(-23) - 1).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -10, 3 in descending order.\nAnswer: 9, 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 20534.\nAnswer: 1\/10267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwbwbbbbmxwmwmmwwwb. Give prob of picking 1 b and 1 m.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 4 + o**2 - 3 - 6*o**2. Calculate l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*u + 6*u - 2*g + 29, 2*u = -2*g + 14. Let b(s) = 3 + 2*s - 3*s + 2*s - 5*s. Calculate the remainder when b(-4) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(99) + (sqrt(99) - (sqrt(99)*-1 - sqrt(99)))*4)*-2)\/(3*4*-1*sqrt(1089)).\nAnswer: -13*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*(h*h**1)\/h)\/(h*h*h**(1\/5)*h\/(h**24\/h*h)) assuming h is positive.\nAnswer: h**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, 0.5, -1\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - (-38)\/8)*-4*943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468771.\nAnswer: 3, 156257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*(k\/(k*((k*k*k\/(k*k**(-2\/9))*k*k)\/k*k)\/k*k*k))\/k))**(-2\/41)*k**(1\/3)*k**7\/k assuming k is positive.\nAnswer: k**(2207\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7693 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(153))\/(sqrt(18)\/sqrt(2)*-3).\nAnswer: 20*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21365, 85483, 192365, 342023, 534469, 769715, 1047773, 1368655?\n\"Answer: 2*p**3 + 21370*p**2 - 6*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/3 - 88*v**3\/3 + 2486*v**2\/3 - 4700*v\/3 + 768 = 0.\nAnswer: -64, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, n: 10, m: 2}. What is prob of sequence my?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*w - 126, 3*s = -2*s - 4*w + 173. What is the remainder when s is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 775389 and 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50421, 50419, 50417, 50415, 50413, 50411?\nAnswer: 50409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 62. Suppose u*m + 1 = 5. Solve 5 = m*s + 5*o, -o - 4 = 2*s + o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3553 (base 8) in base 12?\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -11*w + 975. Calculate the highest common divisor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-11)\/o)*o))**(1\/28)*(o*o**(-3\/20))\/(o\/(o**28\/o)*o))**(-45) assuming o is positive.\nAnswer: o**(-32031\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/x**(-3\/7)*(x\/(x\/x**0))**(-4))\/((((x*x*x*x**(-1\/12)*x*x)\/x)\/x)\/x**(2\/15))**(-1\/38) assuming x is positive.\nAnswer: x**(71849\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**4\/7 + 146494968*d**3 + 87631501593525618*d**2\/7 + 25037571444379560*d + 87631499542596075\/7 = 0.\nAnswer: -170910795, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + k = -70, 0*y + 2*k = -5*y + 81. Is 17 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*s + 225 + 296, q + 179 = s. Suppose -44 - 60 = 4*v - 5*x, 5*v + s = -5*x. Let g = v - -54. What is the remainder when 86 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (8 - 0) - (-6 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75160144 + 1?\nAnswer: -75160143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 365.8027 litres in millilitres?\nAnswer: 365802.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2341\/(-1) + 30\/(-30). Is (63\/7 + -10)\/(2\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 13 = -6 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -547637.8 to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 - 6 + 14*c**2 + c**3 + 4 + 8*c + 0. Does 10 divide g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 0*o**2 - o**3 + 3 + 5*o**2 + 2. Let p be m(5). Solve -2*i = i + p*y - 5, 0 = 4*i - 2*y - 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581\/(-166)*11\/((-154)\/10284) is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**7\/y)\/y**(8\/5)*((y\/(y**0\/y)*y*y)\/y)\/(y\/(y\/y**2)))\/((y\/y**(-1\/2))**(1\/12)*y**(-9)*y*y**4*y) assuming y is positive.\nAnswer: y**(371\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005270173702 rounded to seven dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532846189?\nAnswer: 113, 4715453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(15\/30)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -121138.\nAnswer: 1\/121138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 5*u + 6. Let j be x(1). Let w(b) = 8*b**2 - 9*b + 4. Let c be w(j). What is the greatest common factor of c and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 21 = 4*g, -5*g = 3*y + 25. Let d = -5 + 6. Sort -5, d, y in decreasing order.\nAnswer: d, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78\/12 - 18\/3) + 1\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80685 minus -0.2?\nAnswer: 80685.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 + 16*l**2 - 96*l - 433. Calculate y(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4544953 or -4544951?\nAnswer: -4544951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28127 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 5*r**2 - 1. Let l be i(5). Let s be l*1*35\/(-7). Solve 3*t + 2*t = s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943022031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-105 - p + 161 - p)*(-p**2 - 4*p + 4*p).\nAnswer: 2*p**3 - 56*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2\/3, 0.4, 0.018, 0.5 in descending order.\nAnswer: 0.5, 0.4, 2\/7, 0.018, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = v, 3*z - 275 = 5*v - 273 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2 - 8\/3*w - 10\/3*w**3 + 0.\nAnswer: -2*w*(w + 2)*(5*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 121826 = -15785. List the prime factors of a.\nAnswer: 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 19 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 5*m**2 - 2*m + 7. Let q be 27\/(-63)*(-3)\/(-9) - 748\/154. Give z(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 710157\/(-12) - (-3)\/(-12). Let z = 85658 + b. Let g = z + -18178. Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, h: 2, o: 1, i: 5}. Give prob of sequence io.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.48 (c) 2325.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -q + 85, 3*q + 0*q - 2*x - 251 = 0. Let k be (-9)\/(-15) - q\/(-15). Let t(z) = z - 6. Determine t(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/85 and -107\/1462.\nAnswer: 7310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.30721?\nAnswer: -0.122884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 9*r - 4. Let q(v) = v**3 + 0*v**3 - 53 + 29*v**2 - v + 19*v + 8*v. Let c be q(-28). Let t(k) = -8*k + 3. Calculate c*g(u) + 4*t(u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.5 - -35. Let g = s + -19. Let k be (2\/10)\/(1\/2). What is the nearest to k in -0.5, 0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63 - 253\/4. Let x = 5.4 + -0.4. What is the closest to -3\/8 in x, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148.018 * 147\nAnswer: -21758.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 3879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(720) + sqrt(720)*-3 - sqrt(720)*-2*-4)**2.\nAnswer: 960*sqrt(5) + 72016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 2. Let g be (-3)\/6*4\/(-8)*0. Suppose -4*k - 5*k - 54 = g. Determine v(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.412 + -43.412. What is the second biggest value in -0.5, m, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2354*o**5 + 1206*o**5 + 1192*o**5 + o - 2*o**5 - o + o**4 - 2*o**5 - o**4 + (1 + 3 - 3)*(o**5 + 0*o**5 + 0*o**5).\nAnswer: 41*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203888.\nAnswer: 2, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 33, 4, -391 in increasing order.\nAnswer: -391, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1611900 by -322380.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139*j**2*s + 12*j**2 - 14*j*s**3 - j - 2*s**3 - 368*s**2 - 181*s + 1 wrt j.\nAnswer: 278*j*s + 24*j - 14*s**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.016 + -0.01599905. What is v rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -30, -29, -28, -27, -26?\n\"Answer: k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*z**3 - 57*z**3 - 61*z**2 + 33*z**2 + 30*z**2 - 2*z**2.\nAnswer: 190*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 7.7. Let r = -46.3 - -50. Let a = s + r. Sort -1\/11, 3, a.\nAnswer: -1\/11, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -75150.\nAnswer: 75150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 437364.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2990 by 309.\nAnswer: 2990\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -697, -1437, -2223, -3055, -3933, -4857?\nAnswer: -5827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34974001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*l + 13*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 13*f**2 + 11*f - 8. Let h be j(-12). Suppose -5*y - 5*u = -315, 2*y + h*u = -0*y + 130. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 30*w**2 + 4*w + 7. Let z(u) = u + 2. Give b(r) - z(r).\nAnswer: 30*r**2 + 3*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25006957*u**4 + 17380259*u.\nAnswer: -300083484*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/1 + 1 + -1. Suppose 3*l - o = -i - 0, -2*l + 6 = 2*i. Is 154\/4 + (-1)\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11b (base 14) to base 7\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {u: 2, y: 5, o: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1)\/(6\/4) - 1947\/(-99) and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6*v. Let i(r) = -3*r**2 + 4. Let w(f) = -10*f**2 + 14. Let a(s) = 7*i(s) - 2*w(s). Determine a(j(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from uydcykydwydukyyyy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 334 and -24346.\nAnswer: -8131564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-94 - 0)*39\/(-42). Suppose 87 = -y - 0*y. Let s = m + y. Is s at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/6734, 0.1, 4?\nAnswer: -1\/6734","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-2)*(-115)\/(-138))\/(8\/16).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 155406*k = -155401*k + 45, 3*k + 168 = -30*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**3 - 180*v**2 + 372*v = 0.\nAnswer: -62, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-36)\/328) - (-4)\/(-12). Which is smaller: 28 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3829, 6763, 11647, 18475, 27241, 37939?\n\"Answer: -l**3 + 981*l**2 - 2*l + 2851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-18)*-1*(8\/(-57))\/(-2).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9235 and 95705999?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/4 + 14*y = 0. What is y?\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*(3 + -201). Put -5, r, 5 in ascending order.\nAnswer: r, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - 65. Calculate the remainder when -7 + 9\/(-9)*-310 is divided by q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411351 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (4 + 1)) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 573012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7 and 17271584921?\nAnswer: 17271584928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -2572.\nAnswer: 17\/2572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 3*d)*(2*d + d + 0*d) + 0*d**2 + 0*d**2 + d**2 + (-2*d**2 + 2*d**2 + 2*d**2)*(-2 + 1 - 1).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*u - v - 0, 0 = -u - 3*v - 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 162 divided by 9\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 1 in increasing order.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 15 - 822. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 4*a**2 - 2*a - 6. Let b be w(-4). Let c be b\/6 + (-1463)\/(-21). Calculate the greatest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in minutes?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**(13\/6)\/((j*j**0*j)\/(j**(-1\/7)\/j))*(j**(-1\/5)*j\/(j*j**(-3)))**(-4\/7) assuming j is positive.\nAnswer: j**(-2533\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3181481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/7 + 294*a**3 - 564898*a**2\/7 + 6714306*a - 6633900 = 0.\nAnswer: 1, 189, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57351010 = 3*y - 20*z + 18*z, 57351025 = -3*y + 5*z. What is y rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 3. Suppose -20 = g - 6*g. List the prime factors of b(g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 8:19 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000020011021 (base 3) in base 15?\nAnswer: -a8bda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)\/(c*(c*c**(-1))\/c)*c**(1\/13)*c*c**(3\/2)\/c assuming c is positive.\nAnswer: c**(41\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 2*x**2 - 3*x + 2. Let k be p(-3). Let c = k - -48. What is the remainder when (-1)\/(0 + (-2)\/106) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -3821*p + 3826*p. Is -3 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -65179 greater than -65181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1221\/14 - 175\/2. Let z be (1 - (-3)\/(-3))\/1. Suppose l - 3*g - 8 = z, l + 0*g = g + 2. Which is the nearest to -2? (a) p (b) -2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**2 - 4*i + 1. Let r(u) = 4*u - 9. Suppose 30 = -5*q - 20. Let k(c) = -6*c - 58. Let w be k(q). What is w*r(m) - 5*t(m)?\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8 - 166*t**2 + 158*t**2 - 4*t**3 + t**3 + 3*t + 25. Does 22 divide c(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -259022, -254180, -246110, -234812, -220286, -202532, -181550?\n\"Answer: 1614*g**2 - 260636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*y + 6*k + 16 = -795*y, 5*y - 33 = k for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 307, 8 in decreasing order.\nAnswer: 307, 8, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701583869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 25447*b + 6285385. Give t(-247).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 1634.49.\nAnswer: 81.7245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 27270*f + 4664797. Calculate c(170).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + -17 + (36 + 17 - 19) - 0?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -7*z**2 - 3*z + 15. Let a(w) = 11*w**2 + 4*w - 22. Let t(f) = 5*a(f) + 7*o(f). Is t(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 25 - 13 + 11*j**2 to v + f*j**2 + w*j and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0024 - -0.0543. Round c to 3 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/9 - 4622902*u\/9 - 1540967\/3.\nAnswer: -(u + 1)*(u + 4622901)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 > 2420\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 2:37 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1425)\/125 + 8\/20. Let r(d) = -d**2 - 2*d + 4. Let y(k) = -5*k**2 - 11*k + 19. What is j*r(f) + 2*y(f)?\nAnswer: f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 + -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 1 - (-4 + (13 - 13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 33 - 12. Suppose -n*z + 10 = -5*z. Solve 4*v - 5 = 2*v + z*s, -4*v = -s + 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67324.\nAnswer: 2, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -23, -34?\n\"Answer: -11*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -584, -592, -578, -530, -436, -284, -62, 242?\n\"Answer: 2*m**3 - m**2 - 19*m - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 145 from 7.079404968.\nAnswer: -137.920595032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 288310 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4 - 90\/(-45). Suppose -n - 4 = -3*x - 3*n, -x = 3*n + 8. What is the second smallest value in x, -11, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 27*w + 294. List the prime factors of i(-7).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 378, -81, -4, -6 in decreasing order.\nAnswer: 378, -4, -6, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwwrmkrjjjrwjjwmwmmj. Give prob of sequence jk.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -538, -548, -558, -568?\n\"Answer: -10*q - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from gkrkrjgkgrrrrrrjrgk.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9599, 19211, 28813, 38405, 47987, 57559?\n\"Answer: -5*q**2 + 9627*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a - 3*a**2 - 1\/945*a**7 + 0*a**6 + 0*a**5 + 1\/1512*a**8 + 0 + 0*a**3 + 0*a**4. Factor u(q).\nAnswer: 2*q**4*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-48)*375\/(-500)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 13837999.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.96186ug to milligrams.\nAnswer: 0.07596186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 2*b = -44, -4*b = -4. Let u be ((-180)\/c)\/(3\/42). Calculate the greatest common factor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 6. Let i(k) = k - 6. Let t be i(w). Put t, -0.2, -2 in increasing order.\nAnswer: -2, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, 2\/11, 0, 5, -0.024?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f + 5. Give j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -43*w + 41*w. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + 3*t**2 + 5*t - 2. Let x(r) = -r**3 + r**2. Suppose 0 = -8*k - 2 - 22. Determine k*x(n) + q(n).\nAnswer: n**3 + 5*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 259 - 262. Let a(v) = -v + 4. Let y(w) = -9. Let f(i) = -6. Let l(k) = 8*f(k) - 5*y(k). Give b*l(r) - 2*a(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d0 - -28?\nAnswer: -2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 + 46 - 19*n**3)*(-7 - 11 + 9).\nAnswer: 171*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 41*l**6\/30 - l**4\/3 - 5*l**3\/3 - 9*l**2 - 317*l. What is the second derivative of g(p) wrt p?\nAnswer: 492*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -213?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 + 151 = -i + 4*g, 3*i + 3*g = -24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101101111000010111 (base 2) in base 7?\nAnswer: -20652334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5904 and 3324.\nAnswer: 1635408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (4 - 9) + (7 - -1 - (73 - 67))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 270 - 158. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 37 - 9*k - 18)*(-k + 2*k + 0*k)*(-2 + 2 - 1).\nAnswer: 9*k**2 - 63*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -39. Suppose 4*g - 2*q + z = -14, -4*g - q - 9 = 0. List the prime factors of -27*(-1 - g\/(-9)) + -2.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + 264\/32 + (-1)\/2. Put -383, w, -2\/7 in decreasing order.\nAnswer: w, -2\/7, -383","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -6*z, 95 - 71 = -4*y + 3*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3393 - 3393 + 20*u)*(-9 - 2 - 1).\nAnswer: -240*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 11*v**2 - 29*v - 2. Let y be h(-7). Let j = 145\/266 + 1\/38. Which is the closest to 1\/2? (a) y (b) -2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 28*y + 15. Determine w(21).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i + 46. Let u be j(-11). Factor 47*g**3 - 44*g**3 + 3*g + 0*g - 6*g**u.\nAnswer: 3*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8525\/465)\/((-11)\/(-12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhqhjffsqshvqq. What is prob of picking 2 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -230 - 314?\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*s = -172*s + 24695. What are the prime factors of s?\nAnswer: 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3 + 4*k**3 + 40*k**3 - 59*k + 18*k wrt k.\nAnswer: 258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*l = -73*l + 4995. Calculate the remainder when l is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 times -1.6\nAnswer: -371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13519679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 23\/3*n + 1\/3*n**3 - 10\/3*n**2 - 14\/3 = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccoyoocmcmcmcso. What is prob of sequence mmm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -3 (c) -0.0269 (d) 3\/5 (e) 3 (f) -0.5 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/9717450 and -103\/291523500.\nAnswer: 291523500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/(u*u\/(u*u\/(u*u**(2\/3)*u))*u)*u)*u**2*u)**50 assuming u is positive.\nAnswer: u**(700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(832)*-1)**2 + -1 + (sqrt(832)*2 + sqrt(832) + sqrt(832))**2.\nAnswer: -16*sqrt(13) + 14144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/716 - 711\/3580. Which is the nearest to 0.3? (a) -0.1 (b) 15 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**3 - 2*u**2 + 12*u + 1. Does 12 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -30*x + 65. What are the prime factors of k(-20)?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 12, -26 in ascending order.\nAnswer: -26, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401 a factor of 1843883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1\/4, -212, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65 - -1a88?\nAnswer: 1b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 60.94. Let v = -1.8 - x. Let r = 0.13999999 - v. What is r rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 + k**5\/10 - k**4\/8 - 11*k**3\/6 + 24*k**2. What is the remainder when d(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-35))\/(-4))\/((-666)\/222).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:51 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 295701 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 12*q**2 + 10*q + 1. Suppose 0 = -8*t + 6*t - 24. Let n be x(t). Let g = n + 188. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -41*u + 98. Let o(p) = -117*p + 293. Determine 17*j(i) - 6*o(i).\nAnswer: 5*i - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d. Let r(c) = 16*c**2 + 18*c**2 + 3*c**2 + 10*c**2 - 9*c**2. Give p(r(w)).\nAnswer: -266*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93764831*m**3 + 945105*m - 10.\nAnswer: -562588986*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16069 - -16664. Calculate the highest common factor of x and 1715.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-8\/3)\/q)\/q*q*q)\/q)**(2\/25)*q**(-6)*q*q\/(q**(-34)\/q) assuming q is positive.\nAnswer: q**(2303\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 242968.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 17072440*l - 17072445.\nAnswer: 5*(l - 3414489)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -629 - -653. Suppose 8784 + 5784 = i*a. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-11 + 7) - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/2 + 169233*v**3\/2 + 84615*v**2.\nAnswer: 3*v**2*(v + 1)*(v + 56410)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -17, 59, 0.4 in decreasing order.\nAnswer: 59, 0.4, -0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 8. Let i be p(5). Let b be (-12)\/(-4 - 0) - i. Is b at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:06 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33\/52 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-18)*(-6)\/4. Suppose m*p + 0*p = -6. Sort 3, -4, p in decreasing order.\nAnswer: 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3287 + 1377 = 411*k + 965 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1575 = 5*n, 2*n - 4*o - 676 = -16. Suppose -2*x + n = 2*k, -3*k - 2*x + 498 = -5*x. What are the prime factors of k?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (13 - ((9 - -21) + -10)) + -8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 22*c**2 + 23*c - 30. What is the remainder when 59 is divided by n(21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/11)*n**(-5))**(2\/11)*((n**3)**4)**39 assuming n is positive.\nAnswer: n**(56514\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051012789 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051 + 2530.28.\nAnswer: 2530.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 3. Let h(a) = a**3 + 5*a**2 - 6*a + 4. Let n be h(-6). Find the third derivative of -n*l**2 + 3*l**v - l**4 + 7*l**2 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1815*c - 1821*c = 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -79*g**3 + 9*g**2 - 92*g. Let n(i) = -237*i**3 + 30*i**2 - 277*i. Let z(d) = 3*n(d) - 10*v(d). Find the second derivative of z(f) wrt f.\nAnswer: 474*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from {p: 2, d: 1, y: 4, i: 2, n: 2, o: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = u - 5*u. Let z(p) = p**2 + 16*p + 2. Let a be z(-16). Is u*(-106)\/(-8)*a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 27*b + 53. Calculate the remainder when s(27) is divided by (1 - -1)\/((-2)\/(-18)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -53, -72, -89?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -14. What is the second biggest value in 0.1, 3, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/242 and 107\/869154?\nAnswer: 9560694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96441, -192879, -289317?\nAnswer: -385755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -131621.\nAnswer: -3\/131621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 95*l**2 - 25*l + 25. Let n(g) be the second derivative of 2*g**4\/3 - g**3\/3 + g**2 + 3*g - 28. Give 25*n(x) - 2*y(x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7\/3 - 25\/12. Let x = -3 + -1. Let c = -56 + 55.9. What is the second smallest value in u, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, x: 2, d: 2, s: 1, a: 1}. Give prob of picking 1 r, 2 x, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*l - 102*l = 0. What is the closest to -4 in -2\/11, l, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3084 + 3084 - 1469*k**2 - 60*k**2 to g*k + h + v*k**2 and give v.\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17584 + 14288 = -498*z for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4930)\/(-51))\/((-2)\/180). Round m to the nearest one hundred.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a microgram in nanograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -394*f + 22224. What is z(57)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o - o + 3*o)*(0*o - 4*o + 2*o) - 5*o**2 + 3*o**2 + o**2 + 4*o**2 - o + o in the form g + j*o + k*o**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 605 + -403. What is the remainder when i is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16, -22500, 4.\nAnswer: -22500, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -3\/48343 (b) 2 (c) -5 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07403 times -51?\nAnswer: -3.77553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 12*p - 4. Calculate b(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313 - 246 + 13*d - 9*d.\nAnswer: 4*d + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:21 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -184575784 and 170154?\nAnswer: 184745938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106009808 is divided by 3971?\nAnswer: 3963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 1:16 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 2448?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3781 - 62.6519. Let o = y + 0.03. Let d = o + 63.000011. What is d rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14012 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4 and -49\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 61\/11, 21, -2.9, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/16 and 76\/7977?\nAnswer: 127632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o**2 + 2*o**2 - o**2)*(-1 + 3 - 1)*(39*o - 14*o + 63*o).\nAnswer: -1496*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/11)\/(780\/715). Let f = 3.1 + -3. Which is the nearest to f? (a) p (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 45*t - 352. What is a(0)?\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 2*n**4 - 3*n**5 + 2*n**4 + 6*n**3.\nAnswer: -3*n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 4. Let x be p(6). Solve -5*w = 3*v + 26 + 3, 2*v = 2*w + x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013853688 minus 4?\nAnswer: -1013853692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59283*o**3 - 28458 wrt o?\nAnswer: 177849*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6147915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4986918535.\nAnswer: 5, 23, 211, 205519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -724459+149\nAnswer: -724310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k = 42*k + 52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 593543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/371705 and 9\/594728.\nAnswer: 2973640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*j + 5, -3*j + 1 = -2*s - 4*j. What is the remainder when 128 is divided by (-2)\/s + 575\/25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*p - p - 18 = 0, 0 = 2*q + 5*p - 21. Let u(o) = 10*o - 5*o**2 - 2*o**2 + 11*o - 5*o + 6*o**2 - 7. Let d be u(q). Is d not equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, k: 4, w: 1}. Give prob of picking 2 k and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8a - -1?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 5*y**2 + 40*y + 41. What is k(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:56 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*x + 20*x - 833. Let b = x - -264. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 10 - 14)*(17*u + 22*u - 3 - 34*u) to the form r + q*u and give r.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3025642, -5 in ascending order.\nAnswer: -5, 9, 3025642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13428\/32 + ((-30)\/16)\/(-5). What is the highest common factor of 588 and w?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-14)\/18284). Suppose 5*w - l = 282. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 6*j**2 - 5329*j + 263. Calculate q(76).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33929808\/79 or -429491?\nAnswer: -33929808\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 6*h. Let a = 85 - 81. Let n be z(a). List the prime factors of -57*(0 - (-4)\/(-24))*n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**3\/3 - 17*h**2\/2 + 2*h + 9. Let q be v(-17). Solve j + q = 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 y when four letters picked without replacement from kyyyyyyykkykyyyyyy.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 17. Let v = 10 + i. Let k**v + 2*k**2 + 4*k**3 + 0*k**4 + k**4 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 + 286 = 43*c. Let f(q) be the second derivative of 13\/2*q**c + 0 + 0*q**4 - 7*q + 0*q**3 - 11\/10*q**5. Differentiate f(v) wrt v.\nAnswer: -66*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126930 divided by 42310?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/12*(-12)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t, -3*s + 2*t + t + 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 17*x**3 + 105*x**2 - 275*x + 250.\nAnswer: (x - 5)**3*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:30 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2147 + -2124. Solve i - 7 = -n, -5*n = -2*i + 4*i - x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**4\/3 + 68*n**3\/3 - 934*n**2\/3 - 2516*n - 4107 = 0.\nAnswer: -3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38163 is divided by 1362.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 2*v - 2*v)*(-6*v**3 + 5*v - 5*v - 3*v**3 + 2*v**3 + 3*v**3 + (-2*v**2 + 2*v**2 + 4*v**2)*(4 - 4 + 2*v)).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336 is divided by 1316?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021921 to 5 dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -438, -437, -436, -435, -434?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29 + 11 - 16 - 35)*(3*x - 2*x + 3*x) as s*x + b and give s.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + p = -201, -4*v + 68 + 193 = p. Let i = v - 38. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6 + (-12 - -13) + 7.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37600, -37765, -37930, -38095?\n\"Answer: -165*r - 37435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Suppose -863*z + 857*z = 0. Suppose -4*t - 4 = z, 3*a - t - 12 + 5 = 0. Solve -f - 4*k - a = -0*f, j*f = 2*k - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 83. Suppose -k*u + 190 = -5*b, b + 108 = u + 5*b. What is the remainder when u is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 21*g - 142. Give j(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from mrlyrhkl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**4\/12 + 16*t**2 + 2*t + 110. Let g(h) = -16. Determine 5*g(y) + 2*r(y).\nAnswer: -2*y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 760 - 732. Calculate the remainder when 473 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12843 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*1 + sqrt(77))*-2)\/(3*(sqrt(147)\/sqrt(3))\/sqrt(7)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2))**(1\/53)*(w\/((w\/w**(6\/7))\/w)*w)\/w*w*w*w**(-14\/3))**(-6) assuming w is positive.\nAnswer: w**(1676\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8)*(-92)\/230*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2518*f**2 + 2516*f**2 + 1244 + 20*f**3 + 1261 - 2505.\nAnswer: 20*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/2079211 and 46\/94495485.\nAnswer: 6331197495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-175)\/(-42))*6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*g**2 - 2\/3*g**3 + 4\/15*g + 0.\nAnswer: -2*g*(g - 2)*(5*g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7989 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11108040 rounded to the nearest ten thousand?\nAnswer: -11110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3332 and 22.\nAnswer: -73304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 7*p**6\/30 - p**4\/3 - 3*p. What is the third derivative of l(f) wrt f?\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 844 + -843. Let x = -5 + 5.13. Let b = x + -2.13. Sort h, b, 16 in descending order.\nAnswer: 16, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3850 and 11440?\nAnswer: 400400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*-2)**2 + 2 + (-2 + 2 + sqrt(5))**2 + sqrt(80).\nAnswer: 4*sqrt(5) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17743 = -10926*c + 9313*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264857, 264970, 265089, 265214, 265345?\nAnswer: 265482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) - (sqrt(132)*-2 + sqrt(132))))\/sqrt(12).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 6*h - 7. Let l(d) = -2*d**2 + 7*d + 4. Let b be -4 - -1 - 6\/((-3)\/3). Let r be l(b). Give s(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 2*s + 420 - 405 + 10*s. Let q be z(-5). Which is the second smallest value? (a) -0.1 (b) 0.06 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:57 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1452, -1456, -1490, -1554, -1648, -1772?\nAnswer: -1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 180 = -35*f, 10*f - 2*b + 17 = 7*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*v + 1113*v - 2354 = 2417*v for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 3660*c**2 - 9*c + 32940.\nAnswer: (c - 3660)*(c - 3)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 201, -2\/45, -26, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -8856415\nAnswer: -3\/8856415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 3\/5, 5, -1\/33, 2\/135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7131 - 399347\/56. Let g = 138\/7 + -1655\/112. Find the common denominator of g and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 u when four letters picked without replacement from {w: 5, u: 9}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 6*l**2 + 15*l - 7. Let a(i) = i**3 + 3*i**2 - 7*i + 3. Let q(h) = -13*a(h) - 6*k(h). What is the units digit of q(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26985373.\nAnswer: 79, 341587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 830 by -2.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6126, -12252, -18378, -24504, -30630, -36756?\n\"Answer: -6126*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8))**(10\/9)\/((a\/a**(-17))\/(a*(a**39*a)\/a)) assuming a is positive.\nAnswer: a**(787\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/35 and -61\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -83, -82?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -3.7. Let r = -3.8 + t. Is 0.2 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - (-92 - -45) - 1*(-1)\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22884667.\nAnswer: 13, 1760359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -588, 2, -5, 21, 4, -10 in descending order.\nAnswer: 21, 4, 2, -5, -10, -588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m**2 - 6*m - 1. Let i be x(6). Let o(c) = 154*c**2 - 377*c - 755. Let g be o(-2). Let w = i + g. What are the prime factors of w?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(13) + sqrt(13))**2 - (sqrt(13)*2 + -1).\nAnswer: -2*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*i**4*y + 2685*i**3*y**2 + 21*i*y**2 + 749*y**2 wrt i?\nAnswer: -72*i**2*y + 16110*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 5*m + 37, -36*m + 244 = 4*x + 49*m - 14*m + 7*m for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 + 10*d**4 - 5*d**3)*(-d + 3*d - d) + 0*d**5 + 0*d**5 - 2*d**5 + (-2*d**4 - 2*d**2 + 2*d**2)*(-69*d - 2977 + 2977).\nAnswer: 146*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 85 = 3*p, 4*p - 8 + 114 = 5*i. Suppose -11*g = -11 - i. Suppose -4*r + z - 18 = g*z, 5*z = -4*r - 27. Let k(s) = -s**2 - 2*s - 1. What is k(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y**5 + 2719*y**4 - 35317*y + 1?\nAnswer: 160*y**3 + 32628*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1010000010000101?\nAnswer: 1010000010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3692 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3\/7 + 11697212*h**2\/7 + 421103520*h\/7 + 3789943344\/7 = 0. What is h?\nAnswer: -18, 2924339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 3*v**2 + 3*v + 4. Suppose -4*l = -7*l + 3*x + 18, -10 = -3*l + x. Suppose 3*j = l + 10. Let z be h(j). Let s(t) = t + 5. What is s(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**6\/360 + z**5\/120 - z**4\/24 - 5*z**3\/3 - 1. Let y(d) be the third derivative of x(d). Calculate y(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -569*r + 568*r + 255. Calculate the remainder when r is divided by 108.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 279, 0.2 in ascending order.\nAnswer: -0.1, 0.2, 4, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 147 + -38 + (35 - (-13 - -36))\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 489 + -421. Find the common denominator of 51\/d*(-6)\/8 and -75\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -3, 44434, -3\/7, -2?\nAnswer: 44434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f**3 - 5*f**3 - 2*f**3 + 148*f**2 - 148*f**2 - 53*f**3 + 2*f - 2*f + 2*f**3 + (5*f - 4*f + 2*f)*(0 - 2*f**2 + 0).\nAnswer: -58*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - 1. Let w be z(-1). Let l(i) be the first derivative of i**2\/2 + 4*i + 6. Let p be l(w). Solve -3*u + 4*b = p + 2, u + 6 = 3*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 1 + 34)*(k + 2*k + 0*k)*(-6*k**2 + 2*k**2 + k**2) + (3 - 3 + 2*k)*(0*k**2 + 2*k**2 - 11*k + 2*k**2).\nAnswer: -118*k**3 - 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 154*j - 155*j, f = 5*j + 310. Calculate the least common multiple of 1995 and f.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4492*r - 31076. Calculate s(7).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -81*t**2 - 15. Let f(d) = 243*d**2 - d + 42. Let h(l) = 4*f(l) + 11*j(l). Suppose 5*s - 14 = -4. Is h(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 14 = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 11 + 3*i**2 - 3*i + 4*i**3 + 9*i + 12. Let b(p) = -p**3 - p**2 - 2*p. Calculate -7*b(u) - 2*h(u).\nAnswer: -u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.5935 times 3?\nAnswer: 400.7805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1540?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 766 - 767.6. Which is the smallest value? (a) s (b) -3 (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/425)\/((-4)\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1469 and 852735?\nAnswer: 96359055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*a - 55. Suppose 2*m - 21 + a = 0. Suppose 0 = -q + m*q - 12. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l + 4. Give y(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 205 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 x, and 1 k when four letters picked without replacement from {u: 5, k: 1, h: 5, w: 1, x: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/54168408 and -59\/11718.\nAnswer: 162505224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2*sqrt(14) + sqrt(14))*1)\/(sqrt(448) - -2*sqrt(448)).\nAnswer: -sqrt(2)\/24 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 7. Let f be (10\/(-4)*2)\/(-1). Let w be t(f). Suppose -5*h = -m - 4*h + w, h + 2 = -m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1305 and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -w - 5*u - 22, -2*u + 5 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 16*b**2 - 41*b - 81. Let u be x(19). Let k = 227 - u. Solve -6*l + k = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 9*b + 14. Let s = -30 - -20. Let j be m(s). Suppose 5*u + i - 21 - 43 = 0, -4*i - j = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2034419 rounded to 3 decimal places?\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 20*g = 140. Suppose -6 = y - 2*u, -3*y = 22*u - g*u + 10. Let b(x) be the third derivative of -x**4\/4 - x**3\/6 - x**2. What is b(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 861.7905g?\nAnswer: 0.0008617905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228095 and 34300?\nAnswer: 4561900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -18aa (base 11) to base 10\nAnswer: -2419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3\/3 + 29032*y**2\/3 - 753818*y\/3 + 1632540 = 0.\nAnswer: 13, 14490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(18486\/(-972) - -19).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158363568 divided by -1599632.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*n**5 + 13*n + 15*n + 69*n**5 wrt n.\nAnswer: 600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18 - 12)\/6 - 2\/1)*8\/468?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/5 (b) 0.3 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmppppppmmmpmppppp. Give prob of picking 1 p and 1 m.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -124, -490, -1100, -1954, -3052?\n\"Answer: -122*o**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1198051 rounded to four decimal places?\nAnswer: 1.1198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625172 is divided by 24995.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (12\/5)\/(469608\/(-46040))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -261, -593, -955, -1335, -1721, -2101, -2463?\n\"Answer: 2*l**3 - 27*l**2 - 265*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9 - 6 + 23*h)*(-12 - 18 + 16) in the form n*h + i and give n.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110449.\nAnswer: 17, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 2*f)*(68*f**2 + 288*f**2 + 51*f**2).\nAnswer: 407*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**2 + 3*r - 10. Let x(p) = 22*p**2 - 7*p + 19. Let v(g) = -5*w(g) - 3*x(g). What is v(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.92443 to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -100. Let m be 11\/(-5) - (-1 + d\/25). Let s(z) = -9*z**2 + 2*z - 1. Let j be s(1). Put -3, m, j in increasing order.\nAnswer: j, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75410.23 litres?\nAnswer: 75410230","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-50320 - 168*u + 50320)*(2 - 2 + 2).\nAnswer: -336*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2716474432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 10) to base 11\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -50*k - 1104. Determine d(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**2 - g - 135. What is v(0)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h = 29*h + 36. Suppose -768 = -h*u - 4*u. What is the smallest common multiple of u and 21?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttpttdtdput. What is prob of sequence pd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 23.7. Let f = 193\/144 - 25\/16. What is the third smallest value in 5, f, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -1\/120*r**6 + 0*r**5 - 1\/6*r**3 + 2*r**2 + 0*r**4 + 0 + 0*r. Differentiate c(d) with respect to d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 58. Let n(u) = 859*u + 129767. Let w be n(-151). What is the highest common divisor of w and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 10 = -5*c, 0 = -5*c + u + 7 + 7. Let d(r) = -2*r + 4*r - 7*r + 8*r**c - 1. Let w(n) = n**2 - n. Give d(b) - 4*w(b).\nAnswer: 4*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8389, -16781, -25173, -33565?\nAnswer: -41957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 378, 383, 388, 393?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -77) + 6 + (1 - -2). Find the second derivative of b*v**3 - 44*v**3 - 29*v**3 + 20*v wrt v.\nAnswer: 54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 16*c - 19*c - 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 4*o**3 - 5*o**3 + (-2*o**2 + o**2 - o**2)*(1 - 1 - o))*(-1 + 1 + 2*o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2846 divided by 5\nAnswer: 2846\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 0.3321?\nAnswer: 0.4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -2. Suppose -3*h + 4 = u. Is (h + -3)\/((-2)\/83) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 2*k**2 - 4*k**2 - 4*k**2 + 5*k**2.\nAnswer: -k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369122233*c**3 - 7*c + 2*c + 5*c + 369122234*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3063 divided by 7.\nAnswer: 3063\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 11*m**2\/2 - 22*m + 12. Let f be i(2). Solve f = 6*r - 3 + 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1512598.\nAnswer: 2\/756299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1378*y**2 - 2 - 72*y + 2720*y**2 - 1352*y**2 to the form b*y**2 + n*y + l and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 24\/(-15))*(-12)\/(-72). Which is the biggest value? (a) 5\/8 (b) 0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 5. Suppose p + v = 7. Let s = p + 2. What is the smallest common multiple of s and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by 791?\nAnswer: 120\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((6\/3 - -5) + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2941700 rounded to the nearest 10000?\nAnswer: -2940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 70 = 55. What is the greatest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*g - 16, 3*g + 9 = -3*j - 3. Suppose j*s - 2*s = -6. Let k be (19 - 14)*(0 - -1). Solve -2*o + 0*o + s = -5*b, 0 = k*o + b - 21 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -148 and 0.18.\nAnswer: -26.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 400, -28, 3, -3, -4, -160 in decreasing order.\nAnswer: 400, 3, -3, -4, -28, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -396105 greater than or equal to -396061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 6*v - 168. Suppose 5*s - 5 = 0, 2*i - 4*s + 220 = 5*i. Suppose 0*h + 2*h - i = 0. Calculate the remainder when v is divided by h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**1\/z)\/z)**(2\/67)*z**7*z**(-18)*z assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 2112*i**3 + 1 - 4*i**2 - 273*i**3 - i. Let d be j(-1). Let m = -145421\/61 + d. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213121211 + -2?\nAnswer: 213121203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 123532 + 6?\nAnswer: 123538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3))\/(-6*35\/(-45))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 27 - 26 - 2065*v as j + o*v and give o.\nAnswer: -2065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19843 + 19849. Calculate the least common multiple of w and 21622.\nAnswer: 64866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 8*j**2 + j + 11. Let l be r(-8). Let d(o) = 3*o**3 - 2*o**2 + 2*o - 3. List the prime factors of d(l).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 11*a**3 + 12*a**3 + 0*a - 21*a**3 + a**2 - 7 as q*a**3 + f*a + b*a**2 + g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.4 (b) -72 (c) 2 (d) 4 (e) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 2. Suppose 3*d + 4*q - 7 = 23, -2*q = -2*d + 6. Let v be 1\/d - 58\/(-12). Solve -v*l = -3*l - n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**3\/6 + 7*f**2 + 5*f. Let h be a(0). Solve h = -4*y + 2*q, 3*q - 29 = 4*y - 2*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:51 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.3 (c) -36 (d) -0.6 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 186780273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - 92.945. Let n = 10 - q. What is n rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from {r: 6, v: 4, m: 2, s: 1}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 33 = -21*p. Let j = 0 + -0.1. Which is the closest to p? (a) 2\/11 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s + 100 - 24 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-380)\/105 + (-6)\/21.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*k + 611*k = 1035 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517940 divided by 8930.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 900\/(-3900) + 140\/156 + (-46)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -208.66 (b) -1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 244486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 6*w + 4. Let v be z(6). Let y(r) = r**2 - 6*r + 5. Let k be y(v). What is the smallest common multiple of (-28)\/k*3\/2 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31852811 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102353 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2e - -2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 342 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 19*d + 3. Let u be a(7). Let b be 15\/(-5)*(24112\/33)\/(-16). Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 3*u**2 + 6*u**2 + 1 - 2*u**2 wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - n**2 - 2 - 1 + 0 to the form q + j*n**2 + c*n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 377893*0.08\nAnswer: 30231.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -99 divided by -1236\nAnswer: 33\/412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -479 + 4307\/9. Which is the smallest value? (a) d (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = -9*v - 210 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4)*0\/9)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a hour in seconds?\nAnswer: 52200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 4*a + 2. Let c(f) = 4*f**2 - 5*f - 4. Let j(k) = k**2 - 1. Let h(s) = -c(s) + 6*j(s). Calculate 2*h(z) + 3*n(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-442)\/6460 + (23 - (-23562)\/(-1026)))\/(0 + 1)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v - 194. Let c be f(25). Put -5, 3, c, 0 in increasing order.\nAnswer: -5, 0, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187661477 a multiple of 4366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -147, -209, -273, -339?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*h + 1, p = -h + 4*h + 11. Let b = p + -38. Is b\/(-30) + (-146)\/(-10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2332 (base 4) to base 2.\nAnswer: -10111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((27\/12)\/3)\/(-24). Let r(f) = f**3 + f**2 - 2*f - 1. Let u be r(-2). Which is greater: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 4)*(-2)\/6. Suppose 2*y = a*y - 11. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/2*10\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 48, 113, 194, 297, 428, 593, 798?\n\"Answer: c**3 + 2*c**2 + 52*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 7*u + 6. Let j be n(3). Suppose -4\/5*y - 4\/5*y**2 + 4\/5*y**5 + 2\/5 - 14\/5*y**4 + 16\/5*y**j = 0. What is y?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -5. Let s = -4 + 5. Put s, -4, c in descending order.\nAnswer: c, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 335, 5, 0.3 in ascending order.\nAnswer: 0.3, 5, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2707*b - 12968*b**2 + 2707*b.\nAnswer: -12968*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2531*v - 2439*v = 0. Suppose -5 = -2*b - 1. Let z be (-2)\/(b + 16\/(-10)). Put v, z, 5 in descending order.\nAnswer: 5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 9*k + 12. Determine v(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*c + 789 - 645. Sort 3, 4, 1, -7, c in ascending order.\nAnswer: -7, c, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 + 27)*(-2 - (-288)\/148)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**5 + 4*c + 1 + 0 - 1 wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 5*d**2 - 4*d. Suppose -3*w + 12 = -6*w. Let g be f(w). Suppose 4*l = 4, 4*j = -0*j + l + 11. Put j, 1, g in descending order.\nAnswer: j, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -433*a**2*c**2 - a**2 - 2*a - 38*c**2 + 3 wrt a?\nAnswer: -866*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1470 and 1029.\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 8) in base 7?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 7 - 66)*(i - i - 2*i)*(-2*i + 4*i + 2*i + (-2 + 2 - 2)*(-4*i + i + 4*i)).\nAnswer: 548*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(1700) + 1) + -5)**2.\nAnswer: 360*sqrt(17) + 183603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*2*sqrt(189))\/((sqrt(27) - sqrt(27)*-2)\/sqrt(9) + sqrt(3)).\nAnswer: -3 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Suppose -d - 6 = 3*r. Let w(t) be the first derivative of 2*t**3\/3 + 5*t**2\/2 + 2*t - 1. Give w(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78771.29 nanometers in millimeters?\nAnswer: 0.07877129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 576\/90 + 84\/(-35) + 444*1. What is the greatest common factor of g and 840?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2 + m + 1. Let h(t) = -4*t**3 - t**2 + t + 1. Give d(j) - h(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 35 = 4*s, -r + 0*r + 2*s + 7 = 0. Let w be (-5)\/(75\/6)*-10. Let c = r - w. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -3\/8, -2\/165?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (17 + 3 - (6 - (-10 - -7)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 2*k - 1. Let r be g(1). Suppose 0 + 3 + 6*u + 1 + 0 + r*u**2 = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 6*v**2 + 9*v + 2. Let p be l(3). Let w = -1 - -1. Suppose -2*z + 77 = 3*m, -2*m - p = -w*m. Calculate the greatest common factor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -103763 - 139637. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0623 * -546414.\nAnswer: 34041.5922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 4:56 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*o - 0 + 9, 4*o = v + 26. What are the prime factors of 0 - (-279 + -1) - 24\/v?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**13))\/(f\/(f\/f**19)) assuming f is positive.\nAnswer: f**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 359910857 to the power of 1\/2, to the nearest integer?\nAnswer: 18971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -124.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 7. Let v = -57 + 59. Let j be s(v). Sort -5, j, 8.\nAnswer: -5, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/13)\/((f*f**(1\/2))\/f))\/(f\/((((f\/(f\/((f**0\/f*f)\/f))*f)\/f)\/f)\/f)*f)**(4\/31) assuming f is positive.\nAnswer: f**(-1047\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.67877 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11082, -44412, -99982, -177786, -277818, -400072, -544542, -711222?\n\"Answer: l**3 - 11126*l**2 + 41*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -11*f**7\/42 + 7*f**3\/3 + 3*f. Find the second derivative of a(q) wrt q.\nAnswer: -220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30630*x - 30631*x + 18. Solve x + 2 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.03, -2, 64, -0.2, -6\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163292, -163288, -163282, -163274, -163264?\n\"Answer: o**2 + o - 163294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 1337, 3973, 7921, 13181, 19753, 27637?\nAnswer: 36833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1834368 and 157\/57324?\nAnswer: 1834368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/80 and -7\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*i - 5*i = 5, 3*p + 3*i + 15 = 0. Calculate the remainder when p + 6 + (0 - 0) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1188, -2382, -3570, -4746, -5904?\nAnswer: -7038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 7*k + 13*k)*(2547*k - 2547*k - 94*k**2) + 0*k**3 - 3*k**3 + k**3 + (2*k**3 - 3 + 3)*(6 + 0 + 0).\nAnswer: -1118*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w = -32. Let r(f) = -2*f + 19. Let s be r(w). Suppose 0 = -s*i - 3*x + 108, -3*i - 2*x + 104 = -0*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 89*l - 13. What is the tens digit of h(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**5\/60 + f**4\/3 - 5*f**3\/3 - 3*f**2. Let b be z(-8). Let k = 7 - b. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100110001 (base 2) to base 10.\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13, -39, -91, -181, -321?\n\"Answer: -2*c**3 - c**2 - 9*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -37*o**3 - 2*o**2 - o + 2. Let v be f(-2). Suppose v - 1347 = -5*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1645953062 + 0.029\nAnswer: 1645953062.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 176 = 40*u + 58, 2*u - 5*u = -3*f - 87 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1643 + 2627. Calculate the highest common factor of q and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 - -2.6. Put 3\/2, 1, b, 14 in ascending order.\nAnswer: b, 1, 3\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139253519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -22*n + 1005. Is u(-23) a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -6*l**2\/7 + 1178076*l - 16493040\/7 = 0.\nAnswer: 2, 1374420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)*g*g*g**(-7) assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 13 (b) -0.2 (c) -1949 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*k - 6, -3*m + 2*m = k - 6. Let t(i) = -i**3 + i**2 + i. Let o(v) = -v**3 + 2*v**2 + 1. Let z(s) = m*t(s) - 2*o(s). Calculate z(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:27 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78, 147, 260, 417, 618, 863?\n\"Answer: 22*r**2 + 3*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 5, -20, -29, -16, 25, 100, 215?\n\"Answer: q**3 - q**2 - 39*q + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**4\/4 + a**3 - 3*a**2 - 2*a + 2. Let q be r(-4). Let u be (31000\/q)\/(2\/2400). Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750540758.\nAnswer: 2, 11, 34115489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.365258 litres?\nAnswer: 2365.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -32*c**2 + 29*c - 95. What is y(3)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**2 + 4*x + 5. Let j(q) = -q**2 - 5*q + 4. Let w be j(-5). Let n(o) = -o**2 + o + 1. Suppose 0 = -0*l + 12*l + 12. Give l*s(m) + w*n(m).\nAnswer: 3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85232909.\nAnswer: 353, 241453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8 = p + 4*r, -2*r - 8 = -2*p. Solve 0*y**4 + 2*y**3 - 8*y**p - 15*y**4 = 0 for y.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 211?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 1 + 0)*(6 - 12 + 2)*(5 + 3*p - 5) in the form c + t*p and give t.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5920 + 4866 = 276*c + 1402 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56292 (base 10) to base 9.\nAnswer: -85186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-730) - 0)\/((633\/12660)\/(1\/12))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiijiijjjjij. Give prob of picking 3 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3883, 1\/6, 8\/19, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -3\/7 (c) -1\/12 (d) 3\/7 (e) -558\/11 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -813, -1864, -2913, -3960?\nAnswer: -5005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6779*a**3 - 3.\nAnswer: -6779*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81.5752 + -416.4963. Let t = u - -335. Round t to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {m: 1, w: 2, p: 4, s: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16 + 4*g - 2*g + 30 + 26*g**2 - 20. Let c be k(4). Calculate the greatest common factor of 38 and c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2509\/(-728) + 2\/1. Let u = -15\/8 - m. Which is the second smallest value? (a) u (b) -7\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -690031, -1380064, -2070099, -2760136, -3450175, -4140216, -4830259?\nAnswer: -5520304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:36 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4\/2 - 1615*g**3\/2 - 121017*g**2\/2 - 754609*g\/2 + 438620 = 0?\nAnswer: -65, -8, 1, 1687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.8 - -23.7. Which is the second smallest value? (a) -2.97 (b) m (c) -4 (d) 0.4 (e) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 147, 3\/7, -5665, 0.1 in decreasing order.\nAnswer: 147, 3\/7, 0.1, 0.06, -5665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -4. Let a(w) = 45*w + 7. Let k be a(1). Suppose -5*v + 2*m + 1 = 33, -3*m - k = 5*v. Is v > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 5, 2\/17, -2\/5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/3)\/((-2)\/15*1). Suppose -d = m - 5*c, 0*c = 5*m + 2*c - 35. Suppose 4*t = -m*t + 180. Solve -4*u = -0*u - t for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a*f**4*p - 116*a*f**4 - 2*a*f**2*p + 75*a*f - 2*a*p - f**4*p - f*p wrt f?\nAnswer: -72*a*f*p - 2784*a*f - 24*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 8*p + 168. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -12\/7 + 2\/7*k + 0*k**3 - 8\/7*k**4 + 20\/7*k**2 - 2\/7*k**5 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 458 divide 298616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 - ((20 - -21) + -43)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2423378987 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 4. Suppose -5*x + 6*x - 3 = 0. Calculate the remainder when 13 is divided by q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m. Let q = 6 + -5. Let y = q + -1. Let h(r) = 3 + y*r**2 - 2*r**2 - 3. Give h(u(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.97 + -12. Let s = -989.03 + 993. Let r = p - s. What is the smallest value in 4, r, -2\/15, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + t - 2)*(-2*t**2 - 2*t + 2*t) - 7*t**3 + 4*t**3 + 13*t**3)*(3 - 2*t - 3).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4854 and 4236.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.326 + -10.13. Let c = n + 35. Round c to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1 - (-8 + 15 + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**2 + 0*b**3 + 2 - 10 - b**3 - 4*b. Let a be z(6). What is the greatest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 g, 1 i, and 1 b when four letters picked without replacement from {b: 1, s: 1, w: 2, i: 1, g: 1, y: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2281, -2272, -2263, -2254?\n\"Answer: 9*b - 2290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1402365, 1402418, 1402471, 1402524, 1402577, 1402630?\n\"Answer: 53*z + 1402312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*d - 11*d - 98 + 289 - 96 - 95.\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*u = -23, q - 4*u - 16 = 3*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153306516 and 1936.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2 - 1118037*y - 127417230 = 0.\nAnswer: -372565, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334 a factor of 582631752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 569967521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 183124673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 3*f - 3. Let s be y(4). Let v = s + -14. Let b = -10 + v. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 203 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 232995 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12958.2553 + 739.\nAnswer: -12219.2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 + 3*l + 14*l**3 - 2*l**2 + 89 + 3*l**2 as z*l**3 + u*l**2 + h + k*l and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s + 5. Let c be ((-3)\/(-9))\/(-1*2\/(-24)). Suppose c*h + 4 + 0 = -2*j, -2*j + 3*h + 17 = 0. Let t(y) = -9*y - 9. Give j*t(u) + 7*d(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4941 - 4941.2. Which is the second biggest value? (a) 3 (b) -3 (c) n (d) 11 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7369.729 millilitres to litres.\nAnswer: 7.369729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**33\/(k**(-38)\/k) assuming k is positive.\nAnswer: k**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10499 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8.3. Let z = -0.12 + -0.08. Let h = p + z. Do -3\/7 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 + r**2 - 1. Let y = 12 - 13. Let l be h(y). Suppose l*c = c + 96. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 103159*f - 206319\/2.\nAnswer: (f - 1)*(f + 206319)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 50763253 = 2*d, -8*d + 9*d + 3*y + 25381619 = 0. Let h = -40381628 - d. Round h to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 12:21 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 + 72 + 24*x**3 + (4*x - 4*x - x)*(5*x**2 - x**2 - 2*x**2))*(255 - 210 + 316)*(3 - 4 - 1) in the form k*x + p*x**2 + i + j*x**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1020 divided by 2\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13415426 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -7*h**4\/12 + 13*h**2\/2 - 4*h + 4. Let b(p) be the first derivative of g(p). Differentiate b(o) with respect to o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -205. Suppose 11*o + 3*o - 210 = 0. What is the remainder when k is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -178. What is the remainder when p is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8613?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from igm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -10) + -1*2. Suppose 4*m = -14 + 54. Let r = m - 10. Solve -2*h + 22 = 5*f - k*h, 3*h - 3 = r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40271 and 358778.\nAnswer: 3946558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -44. What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.65583 times -75?\nAnswer: -4774.18725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**3 + 0*c**3 - 2*c**3 + 85190*c + 2*c**3.\nAnswer: -2*c**3 + 85190*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2889440 and -43\/162531.\nAnswer: 26004960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -38, 1 in decreasing order.\nAnswer: 1, 0, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n*z**2 + 141301*n*z - 2*z**3 + 363*z**2 wrt z.\nAnswer: 10*n - 12*z + 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-3)\/(-45))\/(126\/70)*-6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 386*f**2 - 5*f**3 - 386*f**2.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174*f**3*i**3 - 98*f**3*i - 61*f**3 + 2*f**2 - f - 2 wrt i?\nAnswer: 522*f**3*i**2 - 98*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 27 - 25*t - 52 + 21 - 14*t + 7*t**2. Let u(l) = -4*l**2 + 20*l + 2. Give 6*q(x) + 11*u(x).\nAnswer: -2*x**2 - 14*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5 - -4. Let s = -662 - -660. Let p = 0.095 - -6.905. What is the closest to -2\/5 in s, z, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/2027 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.04746.\nAnswer: -0.18984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -86.9 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/200 - (-370)\/16. Calculate the highest common divisor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v - 1. Let r(a) = -a**3 + 2. Suppose -8*n - 12 = 4*n. Determine n*r(i) - 2*z(i).\nAnswer: -i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**2 - 16 + 2*r**2 + 16.\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 + 13 + 16)*(0*g - g + 0*g) - 2*g + 2 - 2)*(-4*g - 2*g + 5*g).\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 17*k + 3. Let v(f) = -9*f - 2. Let o(i) = 13*v(i) + 6*z(i). Is o(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10344727 - 134629727. Round a to the nearest 1000000.\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032652 (base 7) in base 10?\nAnswer: -361167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 5*(3 - (0 + -2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1396633 from -36.\nAnswer: -35.8603367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4099*i**3 + 8246*i**3 - 4146*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 15. Let f(x) = 7*x - 27. Let a(q) = 6*f(q) - 11*h(q). Determine a(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13589 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/8 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 23*b + 70. Suppose w + 19 = 2*m - 3*m, 0 = 5*w + 2*m + 104. What is the tens digit of j(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 + 10\/45. Suppose i*k + v - 17 = k, 5*k + 5*v = -65. Let b = -5 - k. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2283650667.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -106.5. Put d, 1.35, -0.2 in descending order.\nAnswer: 1.35, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**6\/60 + 5*t**3\/6 - 8*t**2. Differentiate h(m) with respect to m.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (6 - 11) - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 76 = -40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*j + 29904 = 310*j for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, d: 1, k: 2, b: 1}. Give prob of sequence lb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 84*m**2 + 13774*m\/5 + 14196\/5.\nAnswer: 2*(m - 169)*(m - 42)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 2, w: 4}. What is prob of picking 1 w and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18876 - 18663.285. Round p to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5633 (base 16) in base 13?\nAnswer: -a076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 2 - (-2276)\/14. Suppose -s = 0, -2*s + 318 = -4*o + 958. Let g = z - o. Which is the third biggest value? (a) 4\/3 (b) g (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -12, -13, -16, -21, -28?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 934 and 1.5809.\nAnswer: 1476.5606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -636 - -666. Sort 2, l, 4.2.\nAnswer: 2, 4.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016453 rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6322014895 and 0.3.\nAnswer: 6322014895.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 4*l**2 - 14*l + 15. Give t(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128117047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14354050 (base 7) to base 8.\nAnswer: -5134224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s - 17. Let d(q) = q**3 + q**2 + q - 6. Let g be d(0). Let w be x(g). Let p = 9 + -6. Calculate the greatest common divisor of p and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -6*h - 31 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 84*r**2 - 5*r + 5. Let j(g) = -2*g**3 - 85*g**2 - 4*g + 4. Let t(w) = -5*j(w) + 4*q(w). What is the third derivative of t(k) wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66563748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 - 4*o - 4. Let i be r(5). Suppose i + 3 = -2*q. What is the biggest value in -3\/5, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -132334044?\nAnswer: 132334101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, -370, 13, 22 in decreasing order.\nAnswer: 22, 13, -1, -2, -3, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*g - 15 = 159, 0 = -2*i + 5*g + 70. Calculate the remainder when 479 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -2*u**2 + 0 + 1\/6*u**3 + 2*u. List the prime factors of c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*f - 5*t + 12, -3*t = -9. Find the second derivative of v**3 - f*v**3 - 14*v - 3*v**3 + 12*v wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**6\/75 - 3*a**5\/25 - 7*a**4\/30 - 234*a - 158. Let s(t) be the first derivative of d(t). Find h, given that s(h) = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 137508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from {b: 3, m: 1, y: 1, k: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let j(h) = 11*h + 7. Let c(a) = -15 + 13 - 18 - 32*a. Let m(x) = -4*c(x) - 11*j(x). What is t(m(q))?\nAnswer: 7*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/36*-14*(-32)\/(-504).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 9*c - 5*c)*(6 - 2 + 5)*(1 - 1 - 2).\nAnswer: 108*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0035 + 7.1\nAnswer: 7.0965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2. Let h(v) = -v**2 - 34*v - 38164. Determine h(w(x)).\nAnswer: -25*x**4 - 170*x**2 - 38164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 115 - 29 + 33*x - 26 - 26 - 22 as c + k*x and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*g + 19196, 2*g + 3*c - 14394 = -g. Let d be (1027\/(-585) - (-3)\/15)*-9. List the prime factors of (-4)\/d + g\/42.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.51956 to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:58 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/12*144\/252?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*i = 7*i + 3459, -i = 2*q - 2299. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057) - (4 + sqrt(119)\/sqrt(7))) + 4 + -3.\nAnswer: -3 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i + 3 - 3. Let y(l) = -2*l. Let z(j) be the third derivative of j**5\/60 - 11*j**4\/24 + j**2. Let g(b) = -11*y(b) + 2*z(b). Give f(g(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((((v*v*v**(-3)*v)\/v)\/v)\/v))\/v*v)\/((v\/(v\/v**(1\/18)*v)*v*v)\/v) assuming v is positive.\nAnswer: v**(71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -6*k + 2*p + 5, -8 = -71*k + 67*k - p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1\/22)\/(415\/1660).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2794)\/(-100584)*((-7)\/63)\/((-3)\/24).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4\/15289655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 290 = -257 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23807724 a multiple of 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 28 = -2*n, -5*z + n = -25 - 0. Let b(k) = k - 1. Let p(h) = -7*h + 3. Calculate z*b(u) + p(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4116410 (base 8) to base 12.\nAnswer: -4460b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 370*x**2 - 2*x + 366*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17781 is divided by 2947.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 9.8.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -14.1 (c) 4 (d) -2 (e) 0.3 (f) -2\/17 (g) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:42 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8*x - 10 + 7 + 3.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42c39c + 53?\nAnswer: -42c349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opbpfoopofpppp. Give prob of picking 1 b and 1 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325\/38986 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m - 15*m**4 + 0*m**4 + 4*m**4 wrt m?\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 = 2. Let i be (z - -39) + 3\/1. Suppose 0 = 7*n - 3*n - i. Calculate the smallest common multiple of 4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/70)\/((-52)\/(-39)*(-3)\/28).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(1 + 2) + 7. Suppose g*a = a - 70. What is the units digit of a\/(-4)*(3 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(22)\/sqrt(2) + sqrt(275)*2 + sqrt(275) - (-2 + sqrt(11)*2 - sqrt(44)*2)**2)*-2.\nAnswer: -6*sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*(-3)\/(-9) + 6 + 0. Suppose 0*o - 22 = -o + 4*k, -5*k + 85 = d*o. Solve 7*z - o = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 + -18.71. Let v = g + 15. Sort v, -0.5, 5 in decreasing order.\nAnswer: 5, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**4 + h**4 + 2*h**4 - h**4 - 3*h**2 + 3*h**2 + (3*h**4 + h**4 - 2*h**4)*(-3 + 4 - 2) + 1357*h - 1357*h + 51*h**4.\nAnswer: 46*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16252543, 32505087, 48757631, 65010175, 81262719, 97515263?\nAnswer: 113767807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 17*t**5\/60 - t**4\/24 + t**3\/3 + 4*t**2. What are the prime factors of h(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*c - 3*c = -106. Let j(i) = -3*i**2 + 2*i + 1. Let a be j(-1). Let b = c - a. Solve 9 = 2*g - b*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2641 + -2638. Solve 9 = -n - w*u + 5, -3*n - 12 = -3*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 6*x**2 + x + 5. Let v be w(6). Let g = v - -31. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/(-8)*8\/84*4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -7, -425.4, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**3*z**4 + 1042*p**3 - p**2*z**2 - 2*z**4 + 4332*z**3 wrt z.\nAnswer: -24*p**3*z - 48*z + 25992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 907077419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (21\/(-35) - (-17)\/(595\/(-224)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.431 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 3106.\nAnswer: 15530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 19941?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -395\/18 or -22?\nAnswer: -395\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:39 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-7) - -4)\/((-16)\/(-28))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15345 - -15331.034. Let x = b + 14. What is x rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let f(x) = -x**3 - 8*x**2 - x - 8. Let q be f(-8). Suppose 0 = -3*g - q + 6. Let w(z) = 4 + g*z - 3 - 1. What is w(m(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**2 - 70734*v + 353886. Calculate f(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 - 29 - m**3 - 23 - 50*m)*(1 + 0 + 1).\nAnswer: -2*m**3 - 100*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -386, -1353, -2320, -3287, -4254?\n\"Answer: -967*v + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from qdddddqd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 55118 divided by 3\nAnswer: 55118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = 3332 - 1187. Let i = 187 + v. Let y(c) = c + 1. Let m(b) = -1. Let r(a) = -4*m(a) + y(a). Calculate r(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*764\/(-383) + 2. Let n = s - -1133\/3064. Let m = -1.3 - -0.3. Which is the second biggest value? (a) 4 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/(-4)*(-28)\/(-168))\/((-2)\/(-8))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:23 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from koazkkaiioikowz.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/936 and 79\/36720?\nAnswer: 477360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 3. Let g be w(-8). Solve 0 = -g*f + 37 + 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 35*v - 297. Let s be c(10). Calculate the greatest common factor of s and 2491.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 15) in base 10?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1638480233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 - (6 - 166651\/17) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 6 = -0*w. Suppose -2*o + 3*x - 1 = 0, -w*o - o - x + 4 = 0. What are the prime factors of o + -3 - -2 - -12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m - 4. Let t(i) = -3*i + 5. Let h(f) = -7*f - 79. Let c(x) = 2*x + 26. Let p(d) = -8*c(d) - 3*h(d). Let z be p(-5). What is z*t(j) + 5*s(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 8*f**2 + 4*f - 12. Let x be (0 + (-3)\/(-2))*(-32)\/(-12). Suppose 0 = -x*c + o + 28, 0 = o + 4*o - 20. What is u(c)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c8c (base 13) in base 8?\nAnswer: -14612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -1.4. Let m = 0.381 + -0.381. Which is the second smallest value? (a) -6 (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k*n**4 - 305*k*n - 9*n**2 wrt n.\nAnswer: -48*k*n**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1440, 2890, 4336, 5778?\nAnswer: 7216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - 1)*21\/42. Suppose x*t = 10*t + n - 1996, -2484 = -5*t - 4*n. Is t a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -862625, -1725250, -2587875?\n\"Answer: -862625*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 - 4) - (-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 13*k**2 - 11*k + 5. Does 37 divide r(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39831?\nAnswer: 3, 11, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 + 2*i - 316. Let r(t) = -16*t**2 + 11*t - 1581. Let v(w) = -11*m(w) + 2*r(w). Let k be v(0). Let h = k - -17. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330703 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258 is divided by ((-30)\/(-15) + -10)\/(2\/(-7))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e7a - -2?\nAnswer: 3e7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 6:29 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 - 17*l - 14. What is a(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h. Let m(n) be the first derivative of 253*n**2 - 2*n - 921. Determine j(m(f)).\nAnswer: -1518*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 16, 6 in increasing order.\nAnswer: 6, 16, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 90*k**3 - 100 - 75 + 1567*k**3 + 48.\nAnswer: 1657*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16317*q**2 - 48948*q + 9 = 0.\nAnswer: -3, 1\/5439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 56*h**2 - 96*h.\nAnswer: -4*h*(h + 2)*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {u: 1, y: 2, x: 7, f: 7}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 22. Let p(t) = t**2 - 13*t. Let a be p(13). Suppose a = -j - 2*w + 17, -2*w = -j - 3*j + 48. Is 7 a factor of y(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 578305654*l*n**3 - 247513736*l*n wrt n.\nAnswer: 3469833924*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861826322 to the power of 1\/2, to the nearest integer?\nAnswer: 76563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 3*y - 31, -6541*u + 6545*u + 13 = -y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217804.\nAnswer: 2, 17, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4343.0008998 + -4343. Round x to 5 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.664592um to centimeters.\nAnswer: 0.0000664592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upppppppuppupp. What is prob of sequence puuu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 10 = -3*z. Let m = z + -6. Sort m, -3, -5 in increasing order.\nAnswer: -5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - c - 2. Let w be j(2). Suppose -r - w = r. Is r != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1452.0619 + 1444.06. Let s = 8.002 - 0.002. Let n = s + b. What is n rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*q - 17892 = 153*q + 459*q for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12696806?\nAnswer: 2, 1907, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10*3\/30)\/((-66)\/(-18))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3917*d**2 - 26040804*d + 26040804*d to the form b + g*d + s*d**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3156 + -24?\nAnswer: -3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 763, 759, 703, 589, 411, 163, -161?\n\"Answer: -c**3 - 20*c**2 + 63*c + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/(-8))\/((-3)\/252)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 7:44 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 626*y**2 + 6*y - 23781 wrt y.\nAnswer: 1252*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010001 (base 2) to base 10.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(2*i + 3*i - 4*i)*(22394*i**3 + 25411*i**3 + 13506*i**3 - 12172*i**3 + 14966*i**3).\nAnswer: -128210*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2113, -4, 3, 4 in increasing order.\nAnswer: -4, 3, 4, 2113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 16*n - 2*n**4 - 16*n + (4*n**3 - 2*n**3 - 4*n**3)*(-110 - 222 + 95)*(-n + 0*n + 2*n) to q*n**2 + v + t*n + d*n**4 + w*n**3 and give d.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/60 + o**4\/4 - 7*o**3\/6 + 23*o**2. What is k(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a2429 + -2?\nAnswer: -5a242b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -719 - -1140. What are the prime factors of i?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -11, -31, -51, -71?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.29 (b) -2\/13 (c) 1\/6 (d) 3 (e) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*l = 29, 13 = 3*a + 3*l - 2*l. Suppose a*m - 1651 = 854. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c + 1052. Suppose 2*b - 15 = -3*d + 93, -10 = -5*d. Suppose 4*t = c - b. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (26\/598 - (-1778)\/(-161)) + 672 is divided by 113.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 26. Suppose -3*u - 3*z = -165, -3*z = -d - 4. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2974)\/(-1))\/(124\/62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + 15*t**5 - t**5 + t**5 - 2*t**5 - t**5 + (t**2 - t**2 + 2*t**3)*(-t**2 + 2*t - 2*t).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1445833 is divided by 722651.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 232 + -233. Which is smaller: j or -24\/25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 578, 853, 1146, 1463?\nAnswer: 1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/2 + ((-46)\/(-805) - (-373713)\/18060).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -3417\/137?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 18*p + 11. Calculate y(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3352.139 + 54640.501\nAnswer: 57992.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88522698 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*z**2 + 223*z**2 + 0 + 0 + 224*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359181 + 17*r**4 - 5*r**3 + r**2 + r + r + 359177 to y*r**2 + u*r**4 + o*r**3 + s + t*r and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6867882446.\nAnswer: 2, 257, 13361639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = q - 92, 2*l - 3*l = 5*q - 376. What is the highest common factor of q and 608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-96376)\/(-42))\/((-4)\/(-3)). Let o = 2658 - h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w - 1314 = -4*y + 49*w, -4*y - 5*w = -1326. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 8*s - 9. Let c(d) = 2*d**3 - d**3 + s*d - 7*d**2 + 3*d**2. What are the prime factors of c(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137088, 137082, 137068, 137040, 136992, 136918?\nAnswer: 136812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5074 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*l - l**2 - 531*l - 10*l**2 + 8*l**2 - 3*l**2 as o*l**2 + c*l + j and give c.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = 49*k - 74*k - 423 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(63) + (sqrt(252)\/sqrt(4) - sqrt(63)))*-3.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63143925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -u + 2, -3*z + 7 + 18 = -4*u. Suppose -z*c + 20 = 2*c. Solve -c = 5*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 199, -11, -2, -4, 3 in decreasing order.\nAnswer: 199, 3, -2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3\/6) - -153. Is 0 + (i - 0) + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1997 = 3*o, -2*m + 0*m + 4002 = -2*o. Let s = m + -1020. Is 59 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 21. Let g be i(-16). Solve -7 = -q - 2*l, -2*l + g = -4*q + l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3*q + q**2 + 6*q**3 - 7*q**3 + 5 - 4 to the form w*q**2 + f*q + n + h*q**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*r + 19 = -r, r = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 16*u - 4*u = -83 + 83, -4*i - 20 = 4*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m - 2*x = -98, 3*m = -x + 289. Calculate the remainder when m is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90 - 51) + 56 - (-21 - -9)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 174\/511 + -4\/73. Factor n*d**2 + 2\/7 - 4\/7*d.\nAnswer: 2*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3572 + -3560. Solve -2*w = 2*u - 14, -b*w + 24 = -6*w + 3*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*w - 2*l + 6*l, 5*w - 4*l - 36 = 0. Let j be (-2*(-2)\/(-4))\/(w\/32). Is j at most -15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3411*i + 1650*i = -1702*i - 1180 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -8*y. Solve -v - 2*v = y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 5*f - 3. Let y be o(4). Let z = -5 - y. What is the first derivative of -9*t**z + 4*t**4 + 9*t**2 - 1 wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4441\/66231 + 57\/223. Calculate the common denominator of k and -7\/1782.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6605\/9247*(-1 + (0 - -29)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3191 - -11?\nAnswer: 31a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1118.7819 months?\nAnswer: 0.093231825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(8*k**2 - 14*k**2 + 21*k**2)*(0*k + 4*k + 0*k)*(-3 + 4 - 3).\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(292\/(-584))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvxx when four letters picked without replacement from xxvvv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 2*n + 10. Let q be x(-4). Let r(h) = 7*h**3 - h + 1. Let k be r(2). Let w = k + q. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 - t**2)*(-t**2 + t**2 - t**2) + 3*t**4 - 4*t**4 + 2*t**4 - 1053*t**4 - 810*t**4 + 1623*t**4.\nAnswer: -237*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/w**(2\/9)))\/w**(-2)*(w\/w**1*w)**(-13)*((w\/w**(-1))\/w)**(-3\/23)\/(w**(-6)*w**(2\/11)) assuming w is positive.\nAnswer: w**(-9313\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3359395307 to the nearest integer?\nAnswer: 57960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = -13*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 <= -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2475 + -2468. Calculate the remainder when 12625 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/4 (b) 0.2 (c) -2 (d) 7\/6 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 70.\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -667 + 667. Which is the nearest to -2\/5? (a) 0.1 (b) t (c) -26 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 17.6. What is the third biggest value in 3\/2, x, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21089236 and 168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2938194964 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 25 - 8 - 3*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 57. Suppose r*s + 48 = 2*s. Let j(x) = 20*x + 84. Let b be j(s). Round b to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23552880 by 208.\nAnswer: 113235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-3)\/(3*2)). Suppose 3*u = -h*u + 80. Calculate the remainder when u is divided by 15\/2*20\/25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (73 - (31 - 19 - 2 - 15))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Let o = y + -3. Suppose 5*q - 2*p = 29, 2*q + 2*q - 22 = p. Solve -u + q = -o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d - 19*d + 105 + 195 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/3 (b) -598\/113 (c) -36 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/9)\/h*h**(1\/4)*h\/(h\/(h\/(h*h\/(h**(1\/3)*h))))*h*h*h**(-4)*(h**(-1))**(-44)*h*h*h\/((h\/h**(-5))\/h)*h**(5\/6) assuming h is positive.\nAnswer: h**(1463\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 divided by -10?\nAnswer: -367\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(78)\/sqrt(6) - sqrt(13)) + sqrt(13) + (sqrt(91) - (sqrt(91) - (sqrt(91) + sqrt(91)*1)))\/sqrt(7))**2.\nAnswer: -18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 271.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 74. Let f be x(26). Let m be (20\/(-25) - f) + -2. Find o such that -3\/5*o**2 + 0 + m*o - 3\/5*o**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-960)\/(-10880) - (-1328)\/(-34)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 134643920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.26353 + -0.28353. Put m, 2\/7, -0.83 in increasing order.\nAnswer: -0.83, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/9)\/n)\/n)\/n**(-5\/7) assuming n is positive.\nAnswer: n**(-109\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 v, and 1 e when three letters picked without replacement from {u: 10, i: 3, k: 1, e: 1, m: 1, v: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(147)*-1*-5 - sqrt(189)\/sqrt(63)*4)**2.\nAnswer: 310*sqrt(3) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 2:03 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3\/6 - 2*c**2 - 8*c. Let s be d(-6). Suppose 4*m = x, 2*m + 0 = x - s. What is the smallest common multiple of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -2*c - 5*c - 7 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12 + 70\/(-100)*-15. Which is the nearest to -2\/7? (a) -1 (b) z (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/1359 - 2713\/6795. Suppose -9 = -2*l - u, -2*u = -0*u + 10. Suppose -l = 3*h + 2. Which is the closest to 2\/7? (a) 0.1 (b) h (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10755 and 27?\nAnswer: 32265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*k**4 + 2*d*k**3 + 10*d*k**2 - 16*d*k + d + 2*k wrt k?\nAnswer: 24*d*k**2 + 12*d*k + 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*z + 1\/6*z**2 + 2\/3 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, p: 17}. Give prob of picking 1 t and 2 p.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) 2\/7 (c) 2\/5 (d) 2\/47 (e) -0.2 (f) 2\/51 (g) 195\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/169? (a) -91 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 1. Let z be r(1). Let p(o) = 4*o - 6 - 1 + z*o. Is p(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12011 - 2111?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 3}. Give prob of sequence qx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(7\/8)*u)\/(u*u*u\/(u**(-11)\/u)*u*u*u))\/(u**(4\/7)*u**(-14)) assuming u is positive.\nAnswer: u**(-193\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -754*l**3 - 117*l**2 - 117. Let o(c) = 13*c**3 + 2*c**2 + 2. What is -2*m(q) - 117*o(q)?\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6\/((n\/n**(-2\/17))\/n))**(3\/29) assuming n is positive.\nAnswer: n**(300\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 - w**2 - 3*w**2 - w)*(5*w**3 - 6*w**3 - w**3).\nAnswer: 10*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 2 + 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*b - 1, 4*x + b = 81. Suppose 0 = c - x + 5. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/17 + 3184*j\/17 - 71016\/17 = 0.\nAnswer: -1614, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 156 + -85 + 1 + -44\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m + 8. Let a be r(8). Let n = a + 8. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*o - 179*o = 224. Suppose -2*h = 4, 2*p - 58*h = -o*h + 12. Solve -p*f = -m - 13, -4*m = 4 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 2*y - 2*y)*(-36*y**2 - 15*y**2 - 12*y**2) to the form f*y + t*y**2 + j*y**3 + c and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12, 24, 38, 54, 72?\n\"Answer: z**2 + 9*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 5*v + 286 - 305, 4*v - 11 = -5*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**3 + 3*a**3 - a**3)*(3*a + 0*a - 7*a) + (0 - 2*a + 0)*(-3*a + 3*a - a**3) - a**2 - a**4 + a**2 as f*a**4 + b*a**2 + y + d*a + w*a**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(1 - (-4401)\/(-4471)). Let p = 1405 + n. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1155.1 and -264318559.\nAnswer: -264319714.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5\/6 + 20*v**4\/3 + 325*v**3\/6 - 745*v**2\/3 - 2728*v\/3 + 6800\/3 = 0.\nAnswer: -25, -17, -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -252 and 53532194.\nAnswer: 53531942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60048 and 381138?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3673)\/(-4))\/(224\/336 + 5\/(-12))?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 2. Let g(j) = -6*j - 215. Let b(s) = -g(s) + 3*q(s). Let x(c) = 2*c. Give b(x(v)).\nAnswer: 6*v + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 188590 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -18\/3077?\nAnswer: -18\/3077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17569077947537 - 0.5?\nAnswer: 17569077947536.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 12, m: 5}. What is prob of picking 1 m and 1 i?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 68817.62 times 0.5\nAnswer: 34408.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 - -8951?\nAnswer: 8937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3025?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00659 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 7*x**2 - 9*x - 12. Let q be j(-8). Does 27 divide ((-3)\/2)\/((-12)\/q)*-422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336243517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 19*t - 41. Let s be h(3). Let d(q) = q**2 + q + 80. Let r be 0\/(4\/2 + 0). Let f be d(r). What is the highest common factor of f and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 343\/4 and 87 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 5*d + 0*d + 0*d + 0*d + d + (2*d + d - 2*d)*(4 + 2 - 5) - 5*d + 21*d + 6*d)*(2*d + 1 - 1).\nAnswer: 46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 18*y - 6*y. Let d be 14\/28*(6 - y). Solve 0 = 3*v + 4*x + 15, -d*v - 3 - 7 = 2*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 9*g**2 + 12*g - 14. Let o be f(10). What is the greatest common factor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163866708?\nAnswer: 2, 3, 4551853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 q when four letters picked without replacement from jljljllljllql?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohoo when four letters picked without replacement from ohohhooohhhooohohho.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259354806 by -3.\nAnswer: 86451602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 2 - (-5 - (-4 - 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k + 1)*(-13*k - 16*k + 10*k)*(0 - 3 + 1)*(-2 + 2 + 2).\nAnswer: -152*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2. Let o = -9 - -8. Let q(c) = c**2 - c - 1. Let n(x) = -5*x**2 + 4*x + 4. Let s(m) = o*n(m) - 4*q(m). Calculate i(s(f)).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 13*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 13036*y.\nAnswer: -2*y*(y + 6518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 5:42 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33185887297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 1. Suppose 0 = -4*v - w - 30 - 23, 4*w + 4 = 0. Let q(k) = -9 + 25 + 16 + 3*k. Let c be q(v). Let l(f) = 3*f**2 - 3. What is c*b(u) + 2*l(u)?\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 + 6*y - 5. What is l(5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 at most -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -33\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6861 divided by 88\nAnswer: -6861\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 11 = 3*n, 3*n - 23 = -i. Let p(m) = 158*m - n - m**2 - 79*m - 80*m + 4 - m**3. Let u = 0 - 0. Give p(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h\/(h*(h\/h**20)\/h))\/(h*h\/h**(-1\/2)*h*h)**(-39) assuming h is positive.\nAnswer: h**(1959\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(13)*1)**2 - (sqrt(1872) + -2 + sqrt(1872))**2) + -2*-1*(sqrt(1573) + 1).\nAnswer: -7472 + 118*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - 610\/15)*-3.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 26 = 6*m - m, -2*m - 5*c = -17. What is the lowest common multiple of m and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -19*t + 232. Let h be n(12). Factor 28*q**2 + 5*q**h - 13*q**2 + 2839*q + 35*q**3 + 25*q**2 - 2919*q.\nAnswer: 5*q*(q - 1)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*a - 84*a - 89*a + 250*a + 1260 + 1529.\nAnswer: -2*a + 2789","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/21 - 10*t**3\/3 - 94*t**2\/7 + 20350*t\/21 - 20000\/21 = 0 for t.\nAnswer: -16, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44723776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*v - 1129 = 23383 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(14)\/sqrt(2) - (-5 + sqrt(7) + 2).\nAnswer: -5*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**3 - 9*q**2\/2 - 4*q + 3. Let j(a) = 2*a**2 - 5*a - 2. Calculate -3*i(s) + 5*j(s).\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s)**(-8\/17)\/(s**(1\/4)\/s*s**(-2\/7)\/s) assuming s is positive.\nAnswer: s**(521\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 3*t**3 - t**3 - 3*t - 10 to the form f*t**2 + j + g*t**3 + x*t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 2*o - 12 - 13*o - 5*o. Let q be v(-15). Suppose q*x = -8 + 26. Are x and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*33\/110*(-40)\/(-24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4080698 is divided by 3518?\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1064526 + -590812147\/555. Let a = r - 1\/111. Let v = -16\/15 - a. Sort -0.4, -3, v.\nAnswer: -3, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -55175*q**2 - 7*q + 8. Let x be h(-6). Let s(d) = -2373*d**3 - d**2 - 9*d + 17. Let v be s(13). Let o = v + x. Round o to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -9.729?\nAnswer: -9.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0\/4)\/2)\/(-2). Put i, 3, 1, -4 in descending order.\nAnswer: 3, 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*v + 4*y - 5*y, -5*v + 28 = 3*y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - s + 4. Let d(c) = -38*c**3 - c**2 - 4*c + 4. Give d(x) - j(x).\nAnswer: -38*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -134052*h**4*n - 2*h**2 + 1613*n - 3 wrt h?\nAnswer: -536208*h**3*n - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 137?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68, 214, 406, 608, 784, 898?\n\"Answer: -6*o**3 + 59*o**2 + 11*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + 3*((-1 + sqrt(192))*-5 - sqrt(192)) + 5 + 1)**2.\nAnswer: -6048*sqrt(3) + 62651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 61822702 + c + 9*c**2 - 61822583 - c - 9*c**2.\nAnswer: -2*c**2 + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 2*l**3 - 4*l + 2*l**4 + 0*l**4 + 3*l**2 in the form i + x*l**2 + v*l**3 + s*l**4 + f*l and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 6, s: 3, t: 6, h: 1}. What is prob of picking 2 s?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 11. Let b(w) = -w + 11. Suppose -3*q - 21 = -3. Let m(f) = q*d(f) + 5*b(f). Let t be m(-9). Is t > -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150998 is divided by 277.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -1500783?\nAnswer: 1500782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2225, -2117, -2009, -1901, -1793?\nAnswer: -1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 0*y**5 - 2*y**5 + (0*y**2 + 2*y**2 + y**2)*(5*y**3 - 5*y**3 - 17*y**3) - 5*y**5 - 8*y**5 + 4*y**5.\nAnswer: -62*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223 + 601. Is 378 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174738478?\nAnswer: 2, 17, 19, 270493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 225043013 to the power of 1\/2, to the nearest integer?\nAnswer: 15001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**4\/5 + 9*z**3\/5 - 11*z**2\/5 - 9*z\/5 + 2 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30798798 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: What is the value of 0 + 5 + (-1 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 737087.\nAnswer: 13, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57461293741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -33*0.0402\nAnswer: -1.3266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -4 + (-1 - -3). Let w = -0.03 + 0.93. Let c = w + -1. Is y greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -19*y**2 + 174*y - 28. Let n = 6891 - 6882. Give k(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(18) - 1*sqrt(18) - sqrt(18))*1*5)**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 - 160*j + 5 - 206*j - 237*j as g*j + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -15*v**2 + 3*v - 2. Let b be o(-3). Let m = b + 986\/7. Find the common denominator of m and (-10)\/35 - ((-190)\/77 - 2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 4*i - 33. Calculate m(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (32\/(-21))\/(120\/28) and (-59)\/9*21\/(-14).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173690*y - 78441?\nAnswer: 173690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.1. Let n be (4\/8)\/((-5)\/(-4)). Let x = 1\/121 + 481\/363. What is the closest to n in z, 1, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 + 3*x**2 + x - 4. Suppose -4*d + 19 = -5*t, -2*t - 2*d = 1 + 3. Does 17 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 + -9 + 0 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -4, -8 in descending order.\nAnswer: 5, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (360\/(-432))\/((-10)\/(-9))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 8166 = -12*l + 8256 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1848457 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = 93*j - 680 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -399 - -490. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 116, 272, 500, 806, 1196?\nAnswer: 1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 677\/588 + 3\/196. Let u(r) be the second derivative of -y*r**3 + r + 0*r**2 + 0. Let h(l) = -l**2. Determine u(h(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.75 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/20 and 31\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*t - 4*v + v, 3*t - 2*v = -21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 3 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -360 - -4141?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + c - 11 = 0, 4*n + 4 + 0 = -4*c. Let v = -7 + 10. Solve -2*g + v*k = 2*k + 6, n = -k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -6, -0.1, -29?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*l + 16, 10*l + 3*z - 41 = 8*l. Calculate the remainder when 84 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t**4 - 27*t**3 - 25*t**4 + 359 + 0*t + t**2 + 8*t**4 - 361 + 2*t in the form g*t**3 + n*t**4 + i*t + k*t**2 + p and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8089623 to the nearest integer?\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74281915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -155, -231, -309?\nAnswer: -389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*a + 76 - 92 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-6)\/24). Is -1 - (-16 - (-1 + u)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*o**4 - 75*o**5 - 253*o**2 + 494*o**2 - 72*o**3 - 253*o**2 = 0 for o.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 106, -0.2, 2, 0.5.\nAnswer: -0.2, 0.5, 2, 5, 12, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/15 and (9\/6 - (-50)\/(-18))*1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**3\/3 + 521*u. Suppose -p = -2*x - 8, 0 = -6*p + 2*p - 3*x - 1. Let y(o) = -6*o + 0*o - p*o. Give g(y(h)).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/360)\/(((-1)\/(-2))\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(9\/4)*v*v)**(-1\/12))**(14\/3) assuming v is positive.\nAnswer: v**(-119\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248*q**5 + 241*q**3 - 1919191*q + 3.\nAnswer: 4960*q**3 + 1446*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = 97*s + 275 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 16) to base 3.\nAnswer: -110002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144 (base 13) in base 14?\nAnswer: 4c59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**3\/3 + 33*s**2\/2 + 274*s - 9564. Give l(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1152*u - 591. Let d(s) = 1159*s + 594. Let x(w) = -5*d(w) - 6*l(w). Differentiate x(q) with respect to q.\nAnswer: 1117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*c**3 - 7093*c**2 + 52*c**3 + 7093*c**2.\nAnswer: 121*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0.88, 1\/72186 in ascending order.\nAnswer: -28, 1\/72186, 0.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 5 = 3*o. Is (-259)\/(-9) - o\/(-9) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*n - 39. Suppose 5*p - 36 = -11, 4*v - 4*p = -104. Calculate the remainder when n is divided by ((-1)\/1)\/(3\/v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 17*v + 224. List the prime factors of (-24)\/v*7470\/36.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -17*k**2 + 22*k - 7. Give v(6).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from ekkdkkededekw.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19413 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y + 17044 = -4*y + 15438 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/7, 6, -0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39770677, -79541347, -119312017, -159082687, -198853357?\n\"Answer: -39770670*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(17))**2 + sqrt(17))*-2 - ((sqrt(119) - (sqrt(119) + sqrt(119)*-3 - sqrt(119)))\/sqrt(7))**2)*-1.\nAnswer: 2*sqrt(17) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7128864369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Suppose h + z = 0, -2*h = -h + 5*z + 4. Let x = h + 2. Solve -x*c - s = 3*d, -d - 3*d - 5*c - 7 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/3 (b) -2 (c) -3\/5 (d) -0.0907\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1921139805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 28*y + 31. Let h be b(-13). Let q(a) = -a**3 + 7*a**2 - 11*a + 5. Let c be q(h). Suppose -j + 759 - 2 = 2*i, 2*j - 6 = c. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**2*x**4 + 775*a**2*x - 5060*a*x**4 + 4*x**2 wrt x.\nAnswer: -24*a**2*x - 121440*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003375232 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1548\/(-24))\/43)\/(7\/(-1)*-2).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-12)\/(-806)) + -5. Suppose 3527 = 7*i + a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 21*z - 71. Calculate the remainder when (32\/6)\/((-1)\/(-3)) is divided by m(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 6:04 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1332563 * -0.2\nAnswer: -266512.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 715 = -62*n + 13*n - 1245 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1229341.351 rounded to the nearest ten thousand?\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 0 + 0 + (1 - 4 + 5)*(1 - 1 - 2*n) - 4*n - 37149 + 37149 as k + t*n and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000060559 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 8*k + 472. Let v be h(17). Solve -5*j - 45*b + 46*b - v = 0, 0 = 3*j + 3*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 2 + p - 6*p - 3*p. Suppose 4*c = c - 24. Let b be d(c). Solve 18 = 5*g - 2*u + 2, -b*g - 2 = 2*u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q - 5*p - 10, -5*q + 5*p - 25 = 0. Let z = 2.2 - 0.2. Which is the nearest to 2\/11? (a) z (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40022073 divided by 3078621\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 21, -10\/9, -29.77?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 22*w - 8. Let k(c) = 2*c - 1. Let z(i) = -8*k(i) + q(i). Let r(l) be the second derivative of -14*l**3\/3 - l + 537. Give r(z(j)).\nAnswer: -168*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y**4 + 0 + 3\/70*y**7 - 1\/20*y**6 - 2*y**2 + 0*y**3 - 1\/112*y**8 + 0*y**5 + 0*y. Find q such that b(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1046, 1042, 1036, 1028?\n\"Answer: -b**2 - b + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 22 + 7. Is d > 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8339, 0, 1\/2, 0.3, 7\/8, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*v - 71*v - 3 - v**2 + 13*v + 2*v**2 as k*v + f*v**2 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -34837?\nAnswer: -3483.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 17\/139165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 43, 46, 49, 52?\n\"Answer: 3*u + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 16*z + 66. Let j be u(-7). Solve o = -4*o + j*f + 14, 2*o - 3*f = 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let i(j) = 2*j**2 - 3*j. Let m be 1\/(1\/3*-1). Let o(p) = 3*p**2 - 4*p. Let y(w) = m*o(w) + 4*i(w). What is y(x(d))?\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 11471954*q.\nAnswer: 2*q*(q - 5735977)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/125 (b) -2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - 129. Suppose q*v = -4*a + 4795, -5*a - 930 = v - 2*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3\/4, -4, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y**2 - 86*y + 102*y - 56*y)*(0*y - 2*y**2 + 0*y) + 3*y**4 + 2*y**4 - 2*y**4.\nAnswer: 23*y**4 + 80*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 + 1257666*n + 23896737 = 0. What is n?\nAnswer: -19, 419241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, -1\/6, -12.0847?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 317\/2 - 162. Calculate the common denominator of 75\/22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 5\/63, -5, -0.3, -2, 99?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 13*w + 1. Let i(h) = 100*h - 19. Give -2*d(v) - i(v).\nAnswer: -126*v + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 54376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (652 + 5*d - 652)*(-2*d**2 - 4*d**2 + 5*d**2) + (d + 3*d - d)*(2 - d**2 - 2) to b*d + i*d**2 + m*d**3 + y and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -14.549230999.\nAnswer: -19.549230999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/(1\/3). Suppose c = -2*w + 4, -k*w + w + 24 = 3*c. Suppose 52 = 4*y + c. Solve -4*r = p + 17, 17 + y = -3*r + 4*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(1 + ((sqrt(1573) + -1 + sqrt(1573))**2 - sqrt(1573))) + 1 + -2.\nAnswer: -1375*sqrt(13) + 157349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 796*x**2 - 48*x - 47. List the prime factors of m(-1).\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 26*c - 53. Does 11 divide x(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6905 - -20819.21.\nAnswer: 20815.5195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from ccffcfduuufccccufxz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -790, -747, -710, -703, -750, -875, -1102, -1455?\nAnswer: -1958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 20*n**2 + 17*n + 9. Let p(q) = q**3 - 10*q**2 - 9*q - 4. Let a(d) = -5*p(d) - 2*z(d). What are the prime factors of a(10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 84, 97, 40, -87?\n\"Answer: -35*k**2 + 118*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12652 is divided by 330?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(353775\/(-623))*4\/(-14).\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 1\/2*z**2 - 8*z - 5. Determine y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p = -26*p - 50. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 10*i**2 + i + 5. Let s be o(-10). Put -2, s, 5 in decreasing order.\nAnswer: 5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 842*h**3 - 13 - 2*h**2 - 875*h**3 + 1.\nAnswer: -33*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 21 = d + 5, -4*d = -2*l - 60. Calculate the lowest common multiple of 22 and d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/31)*w)\/w)\/w*w*w**15)**(-9\/7) assuming w is positive.\nAnswer: w**(-4482\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 0 - z + 2 - 1 - z**2. Let m be q(2). Let f(c) = 2*c + 2. What is f(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185145 - 18606 = 1291*d for d.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9060142 equal to -9060142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (0 + 7 + -2). Let y be (66000\/14)\/(o\/3150). Round y to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 46 - 190 - 879 - z to f + p*z and give f.\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1458456 divided by -243076\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from giiitggigggiiggtg.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 999.76 centuries in decades?\nAnswer: 9997.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, -700, -985 in descending order.\nAnswer: 14, -3, -700, -985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 9*y - 2*y - 46 = -2*y - 17*y + 6*y, 212*d - 4*y = 2768 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 13. Let g be k(8). Solve 10 - 35 = g*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*855\/342*4\/(-282)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150529867?\nAnswer: 197, 764111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 6*l - 4. Let g(t) = -7*t + 5. Give -5*g(n) - 6*v(n).\nAnswer: 6*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.994 and -1.1?\nAnswer: 1.0934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 5*z + 7. Let i(k) be the third derivative of -k**5\/15 + k**4\/24 - 2*k**2. Let y be i(-1). List the prime factors of d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(17) + -3 - sqrt(17))*6 - (sqrt(17) - (3*sqrt(34))\/sqrt(2))) + 4.\nAnswer: -12*sqrt(17) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (19\/2)\/(3\/(-275)). Let n = -868 - p. Let x = 19\/12 - n. What is the common denominator of x and -117\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/163 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 bigger than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c55 - 26c5?\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69 * 2.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-319)\/(-2))\/(3\/(-8)*(-752)\/2820).\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.1, 2, -4, -6.6, -2, -6 in decreasing order.\nAnswer: 7, 2, -0.1, -2, -4, -6, -6.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1100)*-2 + 4).\nAnswer: -20*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2 = -2*u, 6*b + 2*u = 2*b - 14. Let g = b - -6. Let w = 4 - g. Let l(x) = -x**2 - 4. Give l(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 83 = 11*u + 1 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -2.4. Let c = f - -5.6. Sort c, -2, 1\/6.\nAnswer: -2, 1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -563, -844, -1271, -1808, -2419, -3068?\n\"Answer: 6*p**3 - 109*p**2 + 4*p - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*f = -119, 0*f = 3*b - 3*f - 171. Let c = b - 47. What is the least common multiple of 1 + 1 + c + -1 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3561 + 1315 - 14122 = 0. Calculate the greatest common factor of n and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/7, 512, -46\/9, 112\/5.\nAnswer: -46\/9, -2\/7, 2, 112\/5, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1759797 (base 11) to base 4\nAnswer: -23120301133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.17 + 0.09. Let z = -1768.62480022 + 1768.8848. Let b = z - u. What is b rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-6*(-1*sqrt(3) + -5))**2 - ((sqrt(300) - (sqrt(300) + 1) - sqrt(3)) + 3)**2).\nAnswer: 364*sqrt(3) + 1000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -28*-12733\nAnswer: 356524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6 + 2 = 0. Let g(y) = -y**3 + 4*y**2 - 4*y + 13. Let q be g(4). Let b(w) = -w + 2. Let r be b(q). Sort o, r, 0.\nAnswer: o, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 11.2. Let z = a + 1.28. Let n = 0.5200053 + z. What is n rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 0 (c) -0.2 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 6*r - 63204. Suppose 917 + r = 8*c. Suppose 44 = x - c. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/17 + 18*g**4\/17 - 94*g**3\/17 + 126*g**2\/17 - 52*g\/17 = 0. Calculate g.\nAnswer: -13, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((15\/1)\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 267.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588290 and 2644?\nAnswer: 1176580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*i = 10 + 48, 5 = -5*i. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 315941*k + 315941*k - 5*k**2 in the form d*k + v*k**2 + x and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 24*y**3\/7 + 12*y**2\/7 + 2*y\/7 - 72. Factor x(v).\nAnswer: 2*(6*v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1977 - -1979. What is the second biggest value in 5, -31, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -266, -607, -1200, -2129, -3478, -5331?\nAnswer: -7772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -14*w - 9. Calculate the remainder when 33 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1703751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 911*q**4\/4 - 218*q**2 - 181. What is the second derivative of v(n) wrt n?\nAnswer: 5466*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -348 (base 15) to base 11.\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**6\/1440 - l**5\/480 - 2*l**3\/3 + 4*l. Let n(g) be the second derivative of f(g). Determine t, given that n(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-12)\/(-9)) + 29. Let g be z\/39*(-9)\/(-5). What is the second smallest value in -1, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c**2 + 16*c - 173. Let d(v) = 3*v**2 + 10*v - 116. Calculate 8*d(n) - 5*r(n).\nAnswer: 4*n**2 - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19745953*g**2 + 24034729*g?\nAnswer: 39491906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.29 (b) 6 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 6*n + 8. Calculate the smallest common multiple of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -6*z**2 + 0 - 4\/3*z**3 - 1\/12*z**4 - 11*z. Let h be k(-5). Solve 3*o + 6 = 7*o + 2*s, 9 = -5*o + h*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 + 193. Are f and -2\/37 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 + 46 + 9 + 2*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000029114505 rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108306 and 8283.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -23. Solve -4*p + 12 = -3*s - 23, -g*p + s = -20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**6\/2 - 99*v**4\/4 - 43*v**2\/2 - 9. What is the second derivative of m(c) wrt c?\nAnswer: 60*c**3 - 594*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3656, -3647, -3638, -3629, -3620?\n\"Answer: 9*j - 3665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 + -53. Let q = b - 62. Let s be 48\/(-28)*(-14)\/4. Calculate the greatest common factor of q and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365392384 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14160, 56515, 127070, 225825, 352780, 507935?\nAnswer: 691290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3136616693 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g - 1. Let z(h) = 10*h + 3. Let d(c) = -8*w(c) - 3*z(c). Suppose 3*m = 4 + 2. Let p = m + -1. Calculate d(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (20 - 49) + 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 25*k - 10. Let w be x(-12). Suppose -3*p - w*p + 2*m = -2026, 5*p + 5*m = 2005. List the prime factors of p.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaayyayyyyyyyyyayyyy. Give prob of picking 4 y.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/383 + 1141\/766. Let f(y) be the second derivative of 5\/6*y**3 + 0 - s*y**2 + 8*y - 1\/12*y**4. What is f(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 o when three letters picked without replacement from {p: 4, v: 1, m: 1, o: 9}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37623, -38415, -39207, -39999?\nAnswer: -40791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqxyqdekdkqqyq. What is prob of sequence yxe?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -236 + 228. Let n be (2196\/61)\/((-2)\/o). Calculate the greatest common factor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*w + w**3 - 1685*w**2 + 496*w + 1685*w**2.\nAnswer: w**3 + 567*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7025392961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -26. Let v be (z\/25)\/((-1)\/60). Is 18 a factor of (1 - 6\/3) + v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256555329?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m - 19. Let x be g(6). Let u = -0.07 + -0.03. What is the closest to -0.1 in x, u, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -125196*x**3 - 7*x**2 - 10*x + 16. Suppose r = -r - 16. Let p be y(r). What is p rounded to the nearest 1000000?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 464414*i**2*n**2 - 35*i**2 - 2*i*n - 57*i - 15 wrt n?\nAnswer: 928828*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.2 - 5.2. Sort y, -5, -0.3, -6.\nAnswer: -6, -5, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-2*-1 - sqrt(12))\/(sqrt(64)\/sqrt(4)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -5*a + q, -310 = -4*a - a + 3*q. Suppose 4*g = -10 + a. What is the highest common divisor of g and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-21)*343\/14. Factor -13 + 7 + 10*s + j*s**2 + s**2 + 1.\nAnswer: 5*(s + 1)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:10 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 3*p**2 + p. Let x be f(-2). Suppose -x*z = -4*z + 118. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2 + 10470*p - 31401 = 0.\nAnswer: 3, 10467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 3.278?\nAnswer: 3.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 10. Let m be v(-7). Suppose 5*n + m*s - 19 = 0, 6*n - 2*n + 2*s = 14. Suppose 2*a = x + 5, 10 + 5 = 5*a - 3*x. Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*r + 474*r - 10 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165*j**2*y**2 + 9*j**2*y - 76131*j**2 - 3*y**2 wrt y?\nAnswer: -330*j**2*y + 9*j**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 550269 is divided by 183400?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2139 divided by -19433\nAnswer: 2139\/19433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -113. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40, -119, -546, -1373, -2732, -4755?\n\"Answer: -22*r**3 - 2*r**2 + r + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - n - 55, q = 4*n + n - 13. Suppose -q = -9*v + 5*v. Suppose -6*y + 5*y + 3*h = -v, -4*h - 4 = -2*y. Solve y = -5*l - 0*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*i = -u + 912, 1154 = 5*u - 2*i. Suppose -l = -3*l + u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -16*z**6\/15 + 35*z**2\/2 + 20*z. What is the derivative of c(n) wrt n?\nAnswer: -128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038597402 + 1478?\nAnswer: 1478.038597402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 54 = -3*a. Put 8, -3, a, 1 in decreasing order.\nAnswer: 8, 1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 - 0.8. Let q = 0.8 - b. Let f = 0.09 - -1.91. What is the third biggest value in f, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89.85 - 89. Let m = 0.75 - d. Is m not equal to -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let j(q) be the third derivative of -11*q**6\/180 - 13*q**4\/12 + 43*q**2. Let r(h) be the second derivative of j(h). Calculate r(n(t)).\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3795*t**5*x + t**5 + 7*t**2*x + 534*t*x + 8*x wrt t.\nAnswer: 227700*t**2*x + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*y - 6, 0*v - 5*v = 4*y - 14. Let t = 15\/32 - 259\/416. Let g = -10 - -9.8. Which is the fourth smallest value? (a) t (b) v (c) -1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 9 = 0. Suppose 5*d = -2 - o. Let a(x) = -1 - 6*x + 8*x**2 + 6*x. Calculate a(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122154772 divided by -30538693.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*n + 2225 - 2266, 0 = 5*n - 5*u + 50 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*((q\/(q**2\/q))\/q)\/q*q**13 assuming q is positive.\nAnswer: q**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -581 + 581. Which is the third biggest value? (a) m (b) -3 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -20*c + 28*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 + 200*k**2 + 660*k - 2160 = 0 for k.\nAnswer: -36, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -2, -79 in descending order.\nAnswer: 0, -1, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*s**2 - 14528*s - 22*s**2 - 24*s**2 - 21*s**2 + 64043*s.\nAnswer: -s**2 + 49515*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lly when three letters picked without replacement from {k: 1, l: 2, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 3:54 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 663 - 648. Suppose -13*q + k*q = 3*w - 350799985, -5*w - 175400025 = q. Round q to the nearest one million.\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(21)\/sqrt(3)) + (1*sqrt(1008))**2*6 - (-5 + (5 + (0 + 2 + sqrt(7) - sqrt(7)))**2 + -2).\nAnswer: 4*sqrt(7) + 6006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -229.5340582 to one decimal place.\nAnswer: -229.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 7. Let z be w(-3). Which is bigger: 2\/57 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 27420?\nAnswer: 27422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85995147.\nAnswer: 3, 7, 31, 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h - 3*h. Let q be 0*(1\/(-2))\/(3 - h). Suppose q = -5*g + g + 196. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1326)\/(-21) - 1 - -1. Let d = 63 - i. Sort -0.5, d, -4.\nAnswer: -4, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and -313433.\nAnswer: -5641794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. What is the third derivative of 3*p**g + 21 - 21 + 15*p**3 wrt p?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d8 (base 14) to base 15\nAnswer: -1ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 162*o**2. Let u(v) be the third derivative of 24*v**2 + 1\/60*v**5 + 0*v**4 + 0*v**3 + 0 + 0*v. Give y(u(c)).\nAnswer: 162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37961 (base 12) to base 6.\nAnswer: -1342201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 389970156*l\/5 + 19009590321333042\/5.\nAnswer: 2*(l - 97492539)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1392b (base 12) to base 7.\nAnswer: -142310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 2*v**4 - 2*v**3 + (-v - v - 2*v)*(-32*v**3 + v**3 - 15*v**3).\nAnswer: 186*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 5*x - 35, 8*u - 5 = 3*x + 7*u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 374571858 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 50 - 10. Let h(s) = -15*s**3 - 11*s**2 + 11*s. Let i(l) = 5*l**3 + 4*l**2 - 4*l. Let q be (11\/(-2))\/(7\/(-14)). Give q*i(a) + u*h(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37896 by 3.\nAnswer: -12632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*m**3 - 5 - 484*m**3 + 5.\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3271?\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10118991 and -0.75.\nAnswer: 10118990.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -411*g**2 - 17*g - 3. Let d(p) = 822*p**2 + 29*p + 5. Give 5*a(v) + 3*d(v).\nAnswer: 411*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*f = -211*f + 156789 - 1129664. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:18 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 24. Let v(q) = -q**3 + 10*q**2 + 14*q - 20. Is 12 a factor of v(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*l - 3 - 14219*l**2 + 14219*l**2 + 2*l**3 + 3 - 88*l.\nAnswer: 2*l**3 - 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m. Let y(j) = 61156137*j**2. Calculate y(a(n)).\nAnswer: 244624548*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 771890 to the power of 1\/2, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -179, -1, -255 in ascending order.\nAnswer: -255, -179, -29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(486) - 5*(sqrt(486) + sqrt(486) + (sqrt(486) - (sqrt(486) - 2*sqrt(486))))) + 5*sqrt(486)*2)\/(6*sqrt(6)\/sqrt(2) - -1*sqrt(108)).\nAnswer: -27*sqrt(2)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = 16. Let v be ((-234)\/(-65))\/(u\/30). Suppose 30*i - v*i = 78. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-three eighths of a kilogram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 - -1?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 + 0 = 0. Let s be ((-2)\/(-12))\/(3\/k). Let p = 0.493 - -0.007. What is the biggest value in p, 0.04, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101674679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(33)\/sqrt(3)*-6 + -3 - (-5 + -3*sqrt(99)*2)).\nAnswer: -48*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.682927 meters in kilometers?\nAnswer: 0.001682927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 1\/8 (c) 2258 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4734 is divided by 1510?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 192, -28.\nAnswer: -57, -28, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/5 or 3?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - z**2 - 3*z - 2. Let x be d(-2). Let q be ((-4)\/(-3))\/(x\/(-18)). What is the units digit of (-2 - (-28)\/(-3))\/((-2)\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o + 316 = -3*r, r = -2*o - 107. Let q = -63 - r. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -352 - -347. Put 135, -4, -6, u in decreasing order.\nAnswer: 135, -4, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c + 647 = 101*c - 1407 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -184. Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 16*u**2 + 5 + 63*u + 23 + 35 - 128*u**2. Let o(p) = -7*p**2 + 4*p + 4. Let j(r) = -4*c(r) + 63*o(r). Let x(g) = -g. Calculate j(x(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77.17 - 15.83. Let k = 43 - 138. Let p = y - k. What is the fourth smallest value in -1, -4\/7, 1\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(-45) + 10 + -14?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.92207 rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 41 + b + 202 - 80 - 42.\nAnswer: b + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305745993 divided by 33971777.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o**3 + 31 + 36 - 339 + 270.\nAnswer: -44*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 5:12 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n - 38*n - 51*n = -32*n + 3854 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -11*z**4\/24 + 11*z**2 + 47. Let a(q) = 244*q + 1. What is b(a(r))?\nAnswer: -2684*r - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -25, -258, -3, 5.\nAnswer: -258, -25, -12, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19632 and -232.4?\nAnswer: 4562476.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*h = -4*d + 20, -2*d = 4*h. Suppose 4*l + g - 1 = -7, 0 = 2*g + d. Let m = 0.1 + -3.1. Is m <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a tonne in kilograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j**5 + 3*j**4 - 9*j**2 + 3*j - 3. Let m(l) = -l**5 - l**4 - l**2 - 1. Let v(o) = -i(o) + 3*m(o). Factor v(g).\nAnswer: 3*g*(g - 1)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 7*s + 7. Let a(d) be the first derivative of -3*d**2 + 6*d + 9. Let l be 1\/(-1) + (3 - 7)\/((-12)\/(-15)). Give l*u(i) + 7*a(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 8\/10 - 23302\/(-7640)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7147\/9 + -799. Suppose -3*x - x = -8320. Let t = x + -12359\/6. Calculate the common denominator of t and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 - 41*k - 12. Determine n(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137075.97 + -135979. Round o to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 224, 308, 392, 476, 560?\n\"Answer: 84*q + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**3 + u + 4. Let n(h) = -3*h**3 - 3. Let q(y) = 2*i(y) + 3*n(y). Suppose 2*t - 2 = -0. Determine q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 18.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 0*n - 5*n + 143, 64*n - 61*n = 6*g - 267 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = k + 3*z - 8, -4*z + 4 = 0. Suppose -v + 8 = -2*h, 5*h + v = k*v - 21. What is the least common multiple of 14 and (h - -2)*1 - -10?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122 (base 3) to base 14\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 92, 2, -158 in increasing order.\nAnswer: -158, 1, 2, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 12:57 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.062, 24\/23 in ascending order.\nAnswer: 0.062, 24\/23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/7)\/(m\/m**(-6)*m*m*m))**(-11))**(7\/2) assuming m is positive.\nAnswer: m**(759\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/12 - -1\/4. What is the second smallest value in 0.2, q, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*g**2 + 218*g**2 + 58*g**2 as c + a*g + r*g**2 and give r.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 30*z - 60. Let x be j(5). Calculate the highest common divisor of x and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/30 and 31\/282?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/5 - 40428*j + 202155.\nAnswer: -3*(j - 5)*(j + 67385)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13\/6 + -2. Let v = 34.371 + -33.371. Which is the third biggest value? (a) t (b) 60 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 44*n - 40. Solve -w = 2*k - n, -7*k + 6*k - w + 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 10*o. Give a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3589 - 2288. Let x = r - 601. Round x to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/33)\/(60\/(-198)*(-1008)\/(-840))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - h + 67. Let d be b(-8). Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 0*j + 0*j + 2 - j - j**2. Let u be 1\/(2\/(-14)) + 0. Let w(m) = -m**3 - 6*m**2 + 6*m - 5. Let q be w(u). What is n(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 33 - 12 + (1 - 1 + 1)*(-1 + 0 + 0) - 3 + 4 + 0 + 339 + 119 + 406 + 52)*(-5*f**4 + 2*f**4 + f**4).\nAnswer: -1854*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99365*m - 1020 = 99425*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10571702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6799, 6817, 6847, 6889, 6943, 7009?\nAnswer: 7087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + -4 - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 532\/20309 or -1?\nAnswer: 532\/20309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1737*c**3 + 1736*c**3 - 5200*c**3 + 1728*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -603 not equal to -600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 40 = -3*g. Suppose 12 = 2*i - g. Suppose -k + 2 = -2. Calculate the remainder when i is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1690 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 18 = 4*k, 5*k + 6*u = u - 15. Let q(o) = 6*o - o + 3*o**2 - 1 - 2*o. Let t be q(k). Solve -4*l + i + t = 0, 4*l - 2*i - 8 = 2*i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*b**3 + 90*b**3 + 986*b**3 + 21*b**3 + 680*b**3.\nAnswer: 2133*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2717154012?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.6256 - 4.6256032987. Round w to seven dps.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*n + 3*y, 9 = 2*n - 3*y - 3. Suppose -3*z - 3 = -n. Suppose z*j - 10 = 14. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 4*s + 1. Let m be g(-4). Let x = m + 11. Let o = 1 - 2. What is the biggest value in o, x, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/200 and -109\/250.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 659999905 and 4687.\nAnswer: 4687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89164533?\nAnswer: 3, 29721511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -10*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from jtqjqzqqt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8108725597 to the power of 1\/2, to the nearest integer?\nAnswer: 90048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, n: 5}. Give prob of sequence nn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3 - 20*d**2 - 16*d = 0. Calculate d.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/60064 and 93\/3754?\nAnswer: 60064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o. Let i(t) be the first derivative of 0*t**2 - 7\/3*t**3 - 17 + 0*t. Determine i(g(f)).\nAnswer: -112*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 6*i**2 - 7*i + 2. Let f be d(-5). Let k be (-7)\/(-5) - f\/30. Let v be ((-1)\/(-1))\/(-4 + k). Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1153935, 2307867, 3461799, 4615731, 5769663?\nAnswer: 6923595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 13*r**2 + 94*r + 217. Calculate g(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/484 and -79\/10824?\nAnswer: 119064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z = -n - 28146792, -2*z - 2*n - 28146784 = 0. Round z to the nearest 100000.\nAnswer: -14100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -1010221?\nAnswer: -1010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.776 and 29.344.\nAnswer: -52.114944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 2)*(-10 + -2). Let i = -5026378 + 8440379. Suppose -i = -b*f + 785999. Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177 + -174. Suppose -5*m = -0*m - 10, -p - i*m + 63 = 0. Calculate the lowest common multiple of 36 and p.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3936577619.\nAnswer: 13, 109, 2778107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10983 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110001101010111010111 - 11?\nAnswer: 1011110001101010111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/z)\/z**(-1\/13)*(z\/(z**6*z)*z)\/(z\/(z\/(z*z\/(z*z\/(z*z**(2\/9))*z)))))**(-6\/19) assuming z is positive.\nAnswer: z**(268\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 - 2*b + b**2 - 2*b**3 - 4 + 5. Let i = 1 - 0. Calculate h(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 3*u**2 - 5*u + 12. Let s be c(-7). Let z = -1698\/7 + s. Let -z*y**3 + 0 + 0*y - 3\/7*y**2 = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 + 4*z**3 + 16*z**2 - 36*z + 18 = 0. What is z?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 133, 253, 373, 493, 613?\n\"Answer: 120*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a centimeter in millimeters?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3093192 divided by -4?\nAnswer: 773298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6867.4 rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times -112?\nAnswer: 8848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 2\/37, -6749, 2\/5, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5954050 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2331 + -2?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 2. Suppose 0 = q*v + 4*a - 128 + 9, -5*a = -4*v + 87. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1150 - -3?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-32)*-8)\/((-2)\/(-380)). Calculate the greatest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-30)*(-1)\/3)\/(42\/252).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*z**2 - 317 - 49*z + 316 + 20*z**2 + 2 - 4*z**2 - 2 - 4*z**2 + 6*z**2 - z**2 + (z - 2*z + 3*z)*(z - 2 + 2).\nAnswer: -9*z**2 - 49*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/8*(2 - -2). Find the second derivative of 12*u + u**t - 9*u + 0*u**2 wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 297071208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10290 and 35420.\nAnswer: 5206740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 76138, 2, 5 in increasing order.\nAnswer: 2, 5, 76138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in -1, -650.6212, 2\/5, -0.1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*b - 89*b - 83 - 263 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29007885.\nAnswer: 3, 5, 1933859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**4*y + r**4 - 2*r**3*y - 57336*r**3 + r**2 - 511898*y wrt r.\nAnswer: -24*r*y + 24*r - 12*y - 344016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + f + 33534, -3*b + 4*f = -24074 - 1070. What is the highest common divisor of b and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -385711, 4, 3 in decreasing order.\nAnswer: 4, 3, -4, -5, -385711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5299070 is divided by 309?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10816 = -k - 3*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 10\/2338169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5445 - 7601 + 4385)*(-2 + 5 - 2)*(-2 + 4 - 1)*(-p + 13 - 13) to the form z*p + a and give z.\nAnswer: -2229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5370145 (base 12) to base 15.\nAnswer: -15c7de5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m + 4. Suppose 4*l - m*l = 2. Let t be 1 + l*2\/(-4). Which is the smallest value? (a) t (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 10, 5*f = 3*f - y + 41. Calculate the greatest common factor of f and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 8 + 20. Let y = -6 + l. Solve 4*b + y = -19 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*v**2 - 65*v**2 - 58*v**2 + (0 + 1 + 1)*(0*v**2 + 0*v**2 + v**2) as r + p*v**2 + b*v and give p.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -299*q - 36717. Determine w(-123).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -7610*k + 37716. What is f(5)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114796078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 8:16 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16b (base 13) to base 12\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t. Let y(j) = -35*j + 4. Determine y(p(f)).\nAnswer: 70*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -268 divided by -3\nAnswer: 268\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/2*-5*(-105)\/(-150)*-36?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608030123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -156452 + 2185997. Suppose -f = -5*f + 15118180. Let a = f - z. Round a to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42991508 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 281500*m + 480671 wrt m.\nAnswer: 281500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16889 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/8 + 0)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 8*o - 9. Let k be g(6). Suppose -k*d + 210 = -0*d. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29571?\nAnswer: 3, 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*m + 494*m = -505*m - 422*m. Solve m + 14\/3*x - 1\/3*x**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2733456998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**5\/7 - 6344*p**4\/7 - 2509044*p**3\/7 + 5037136*p**2\/7 - 2521744*p\/7.\nAnswer: -4*p*(p - 1)**2*(p + 794)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 + 76*b. Let w(d) = d**2 - 2*d. Let c(h) = v(h) - 8*w(h). Factor c(x).\nAnswer: -4*x*(x - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -25*d - 3 - 31*d - 37*d + 74*d + 7*d**2. Let y be b(6). Calculate the greatest common divisor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74521 (base 11) to base 14\nAnswer: -2b739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-10) + (-4)\/(-10). Let u be 5\/(-15) + 4\/(-6) + -2. Is 9 a factor of d\/((-3)\/36) + u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*(-6)\/(-10). Let n = 0.2 + 11.8. Let x = n + -7. What is the second smallest value in -1, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222711 rounded to the nearest ten thousand?\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n = -32*n + 186. Let l = n + 75. Suppose -f + 3*f = 0. Solve 2*h - l = -d, -3*d - 1 = -4*h - f*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47082 and 5070?\nAnswer: 39784290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 5*a - 6, 3*a + 5 - 8 = x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742 and 122142422.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724389.\nAnswer: 2724389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18075 and 75.\nAnswer: 18075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19565 divided by -3913.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 12*o + 5*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p - 8 = 2*k, k = 5*p - 4. Suppose -3*m + 24 - 12 = p. Sort m, -2, 3 in ascending order.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23, -2, 47, 136, 277, 482, 763, 1132?\n\"Answer: 2*b**3 + 2*b**2 + b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 83481.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2365966, 2366062, 2366158, 2366254?\nAnswer: 2366350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 - -151. Which is the nearest to -1? (a) 4 (b) -1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 213 + -212.5. Which is the fourth smallest value? (a) r (b) 0 (c) -5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152456?\nAnswer: 2, 17, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/(941\/315235)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -340*u**5 - 2288*u**3 + 2*u**2 + 114124*u + 16 wrt u?\nAnswer: -6800*u**3 - 13728*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5910452 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -296, -298, -308, -332, -376, -446, -548?\n\"Answer: -a**3 + 2*a**2 - a - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(112) + 3 + 4 + 0 + sqrt(112) + -3 + 3*(sqrt(112) + -1) + sqrt(112)))**2 + -2.\nAnswer: 2016*sqrt(7) + 197602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 4*c + c. Let o(m) = -377 - 3*m + 377 + 4*m. Calculate z(o(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2\/3 + 344*r\/3 - 356.\nAnswer: 4*(r - 3)*(r + 89)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -105670 less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14147678 is divided by 2834.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j*x**3 + 2*j*x**2 - j*x - 4*j + 91631*x**3 + 2*x**2 + 159188 wrt x.\nAnswer: -36*j*x + 4*j + 549786*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3 = -5*y - 13, 4*d + 2*y = 0. Let x = -681 - -955. Suppose -d*g + x = -172. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 138 = -3*k + 99, 2*y + 4 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60420.606 + 0.115019?\nAnswer: 60420.721019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 684110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 14*x = 0. What is the derivative of -6*l + 1 + l + x*l - 7 wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:15 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4517924 is divided by 1464?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/19 + 49190*g\/19 - 6409568\/19.\nAnswer: -2*(g - 24464)*(g - 131)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2 + 1) - -30. Suppose 2*n = -3*n + v. Does 20 divide ((-80)\/n)\/((-2)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*n + 19, 0 = 11*n - 8*n - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(300)))**2 - (2 + -2*sqrt(300)) - (sqrt(432) + 1)*-4*-6.\nAnswer: -88*sqrt(3) + 2683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b*n**4 - 102*b*n**2 + b - 2*n + 27 with respect to n.\nAnswer: -28*b*n**3 - 204*b*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-15) + 4\/(-10). Suppose 0 = 23*n + 8*n - 28706. Let o = 93524\/101 - n. Which is greater: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -159995*c**2 + c + 4. Let q(f) = 159996*f**2 - 2*f - 3. Let g(t) = -3*h(t) - 4*q(t). Let a be g(-5). Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 14*d**2 + 42*d - 139. What is the tens digit of z(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25901600 rounded to the nearest 100000?\nAnswer: -25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -222655, -445307, -667959, -890611, -1113263?\n\"Answer: -222652*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 + 3 + 9 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*l**5 - 77*l**3 + l**2 + 11*l + 70351.\nAnswer: 2380*l**3 - 462*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8273634 divided by 6?\nAnswer: 1378939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24024\/(-260))\/77)\/(66\/20)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*s = 4, -3 = -3*s + 3. Let h be (-6)\/9 + ((-4)\/(-6) - 2). Are h and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rybsssssrrsrryss. What is prob of picking 2 r and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (344\/473)\/((-13)\/(2574\/(-12))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-3 + 16 - (13 + (-7 - 0)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3348477127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*((-5)\/(-2) + 1). Suppose 67 + w = k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 94 = -5*z, -6*d - 2*z - z + 510 = 0. Let m be ((-12)\/14)\/((-4)\/28). What is the highest common divisor of m and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 38129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-40) - 36\/60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:47 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-54)*9 + ((-224)\/(-12))\/(-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6501501 (base 7) to base 3.\nAnswer: 1111011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**4\/12 + y**3\/2 + y**2 + 3*y. Let t(f) = -f - 1. Calculate -2*g(k) - 4*t(k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.7932ml in litres?\nAnswer: 0.3887932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - -100. Suppose -w*u = f - 88, -3*f - 189 = -5*f + 3*u. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n + 5. What is the remainder when 48 is divided by u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937838 is divided by 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.39 - 2840288031\nAnswer: -2840288030.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -q + 972, -7 = 214*j - 215*j. What is the greatest common factor of q and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (287\/984 - ((-234)\/48 - -5)) + 6\/4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001859492842 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.182 + -407.01?\nAnswer: -407.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*s + 103*s - 134 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + 4*(sqrt(605) + 0)))**2.\nAnswer: -704*sqrt(5) + 38736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49413, -49415, -49417?\n\"Answer: -2*u - 49411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v + v)*(-2*v**2 + 4 - 4 + (-4*v**2 + 4*v**2 + 4*v**2)*(1 + 1 - 1)).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v**2 - 8899*v - 44544. Give s(-5).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 309?\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-104)\/(-65)*((-4)\/4 - -61) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 2*d**6\/3 - 68*d**5\/5 + 56*d**4 - 208*d**3\/3 + 212. Factor b(p).\nAnswer: 4*p**2*(p - 13)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from vvyvsvvyvvvjv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*0\/(-4) - (-4 + -1). Suppose -3*z - 2*x + x + 19 = 0, -z - i*x = -11. Factor -z*k**3 + 0 - 3\/2*k**4 - 15\/2*k**2 - 3*k.\nAnswer: -3*k*(k + 1)**2*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000060066445 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4168, 8336, 12504?\n\"Answer: 4168*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919372 a multiple of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2691*o - 13069. Determine k(5).\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 6*b - 24. Solve b*f - 9 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 10 = 5*k, 0 = 2*y - 3*k + 10. Let o be (3\/y - -7)*(0 + 2390). Round o to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1690524 and 594?\nAnswer: 1690524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83443639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h**2 - h - 16. Give i(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from gzdzdctccztztzdccdd.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 2*i**3 - i**2\/2 - 2*i + 18. Let j be l(2). What is the smallest common multiple of 176\/j*10\/4 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22.3 and 0.33?\nAnswer: 7.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 34 = 4*w + 42, -23 = w - 5*j. Let r be (-1)\/(w\/38) - 2. What is the closest to -1 in -0.3, r, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 558.8849 centuries?\nAnswer: 5588.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 43 - (-46 + (-28 - -64)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-192))\/((-1)\/8*2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 - 371 = -6*i + 231 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8712, -34808, -78300, -139188, -217472?\nAnswer: -313152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/6 - 5529024*r - 45855159588864 = 0.\nAnswer: -16587072","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*g**4 - 5*g**3 - 613*g.\nAnswer: -204*g**2 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let k(s) = -12*s - 94. Let f be k(-22). Let y(b) = 3759 - 3759 - f*b. Give y(v(l)).\nAnswer: -170*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 27*z = 330. Calculate the remainder when z is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -26.575.\nAnswer: -26.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1021 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 12 = -w - l, -2*w + 5*l = 36. Does 18 divide (152\/3)\/(w\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c, t = -3*t + 4*c + 84. Let n be (-6)\/t + 75\/(-7). Let u = n - -172. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -715049147476 minus 24?\nAnswer: -715049147500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*y = -4, c - 135 = -5*y - 124. Let t(s) = 65*s - 59. Calculate t(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 12*j**2 - 10*j - 1. Suppose 4*l - 46 + 2 = 0. Let d be f(l). Let n be 138\/d + (-7)\/(-35). What is the highest common factor of n and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q = 586 + 888. Are q and -133\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(1872)*4 + 5*-3*sqrt(1872))**2.\nAnswer: 2760*sqrt(13) + 990313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11690 + 11693. Let z(j) be the first derivative of -10\/3*j**f - 15\/4*j**4 + 0*j**2 - 18 + 0*j - j**5. Let z(t) = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(2 - (-1 + 2)). Let p = -0.2 - 0.3. Let a = 4.5 + p. Sort -1\/2, s, a in decreasing order.\nAnswer: a, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146*m*s**2*z**2 - 3*m*z - 450*m - 8*s**2*z**2 + 2*s*z + 2*z**2 wrt s?\nAnswer: 292*m*z**2 - 16*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 16) in base 12?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9970, 9973, 9976, 9979, 9982?\n\"Answer: 3*o + 9967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 17 = -3. Suppose -16*m = -17*m + 4. Put x, m, -1 in decreasing order.\nAnswer: m, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-1)*o)))**(-1\/45))**(-3\/43)\/((o*o**(-1\/5))\/o**(-2\/9))**(-50) assuming o is positive.\nAnswer: o**(98903\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/230 and (-639)\/(-4047) - (-1741)\/2090.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 3644?\nAnswer: 29152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -2) + (-10 - -5). Let g = z + 7. Suppose 0*y = -g*o - 2*y - 224996, 89992 = -2*o - 4*y. Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:45 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37170 + 37170 + 13*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91)*1*-2 - sqrt(91)) + 6*sqrt(91)*-2)\/(sqrt(224)\/sqrt(8) + -1*sqrt(7)*-2))**2.\nAnswer: 2925\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 2*j + 43*j**2 + 1\/120*j**5 - 1\/4*j**4 + 0 + 11\/12*j**3. Factor u(y).\nAnswer: (y - 11)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2 - 79*z + 0 + 41*z + 30*z.\nAnswer: -8*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8359 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 2. Let l be v(1). Let q(d) = 6*d**2. Let y be q(l). Suppose -4*z + 2336 = -b, -4*z + b = -y*z + 1162. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -48, -3, 3, -4, -92.\nAnswer: -92, -48, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1113 (base 4) to base 9.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 378365.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/4 + l\/4 - 14 = 0. What is l?\nAnswer: -8, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42725 or -42726?\nAnswer: -42726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + 11. Calculate the remainder when 89 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-88)\/(-14) + (-4)\/14. Let a(x) = -x**3 + 7*x**2 - 5*x - 3. Let j be a(h). Let d(l) = -2 + 0*l**2 - 2*l + j*l**2 + 5 - l**3. Calculate d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8432 is divided by 3584.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110432a (base 11) to base 6\nAnswer: 105313431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 1\/4 (c) -5.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 21 + (-1640 - -1637).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12268047 is divided by 2722?\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1682 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*q + 95 = -0*w, -2*q + 382278 = 3*w + 382152 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**38)**(-1\/20))**(-1\/4) assuming z is positive.\nAnswer: z**(19\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tattaaa. Give prob of sequence aaaa.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -235.556 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 3110\/9?\nAnswer: 3110\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.22792 rounded to zero dps?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/112 + 2470\/(-247) + (-3838)\/(-364)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**48\/(s**(2\/7)\/s)**(-1))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-8))\/(5\/100). What is the third derivative of -2 + 10*p**2 - l*p**4 + 2 + 49*p**4 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 34 + 32 = 50*l + 188, -5*l - 10 = 0 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/9))**(2\/95)*(v**17\/v)\/v*v\/(v\/v**(3\/7)) assuming v is positive.\nAnswer: v**(92494\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lclcydccldrdco. What is prob of picking 1 r and 2 l?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 3*u**2 - u + 1. Let q be n(-3). Suppose -85 = -5*p + y, -16 + 84 = q*p + 4*y. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + (31 - 74 - -37)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:17 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -29.\nAnswer: 46.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 6*v**2 - 9*v - 7. Calculate t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*1\/(3\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 190\/20 + 2*(-2)\/(-8). Let s be 54\/z + 4\/(-10). Suppose 4*d = 2*q - 900, -1776 = q - s*q - 4*d. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.28978999889 from -788.\nAnswer: -791.28978999889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.6. Are q and 92 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35859 = -5*p - 2*k, 44*p + 2*k = 41*p + 21513. List the prime factors of p.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/4 + 5*v**3 - 7*v**2 + v + 2. What is the units digit of i(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = 14*h + 25. Suppose -3*k = -5*t - 43, -h*t - 39 = -0*t + k. Let v = t - -44. What is the remainder when v is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 11. Let n be (-7)\/(-4) + k\/10. Suppose -3*u - 20 = 2*u. Put n, u, 3 in descending order.\nAnswer: 3, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**3 - 292*h**2 + 96*h + 1158. Determine x(58).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747018 is divided by 6878.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(-7))\/u*u)\/u)\/(u**(-4)\/u) assuming u is positive.\nAnswer: u**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-11) - (-1222)\/(-1034). Let r = -16 - -8. Which is the third smallest value? (a) r (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94647742.\nAnswer: 2, 7, 6760553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.82 - -0.18. Let o = -14 + k. Which is the nearest to 1\/2? (a) 0.2 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -161*q - 1041*q - 1103*q + (-2*q - 2 + 2)*(5 - 1 - 3) - 7*q + 3*q + 2*q + (-2*q - 4 + 4)*(0 + 0 - 1).\nAnswer: -2307*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 44. Let k be p(22). Suppose -3*q + 113 = 4*h, -3*q + h + 4*h + 149 = k. List the prime factors of q*(-2 - -1)*-2.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 2:10 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82412 + -82412.0052277. Round c to 4 dps.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**3 + q**2 - 6*q + 15. Let w be y(5). What is the highest common factor of 35 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*2*120\/(-84). Solve t*q + 24 = 26*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -364*l - 206*l - 311*l - 1178 + 1183 as t + u*l and give u.\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, o: 1}. What is prob of sequence zzzz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4752*u**2*y + u**2 + 57703*y wrt u.\nAnswer: -9504*u*y + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 1. Let w(j) = -17*j**2 + 5*j + 1. Let l(u) = 2*i(u) + 2*w(u). What is the second derivative of l(f) wrt f?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 2:21 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640660.3g to kilograms.\nAnswer: 640.6603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*m + 16, 0 = 4*t - 0*t - 2*m. Calculate the greatest common factor of t and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2160) - (sqrt(2160) - (sqrt(2160) - (sqrt(2160)*-2 - sqrt(2160))) - sqrt(2160)))\/sqrt(5) - (sqrt(108) + 0 + sqrt(3) + sqrt(12)\/sqrt(4)*-2).\nAnswer: -245*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 316.58093595949 and -5?\nAnswer: 321.58093595949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*q = 384*q - 3*u + 29, 3*u + 1 = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*2*1 - sqrt(190)\/(sqrt(5) - sqrt(320)))\/((1*sqrt(200)*4)\/sqrt(4)).\nAnswer: 3*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/3 + 497*u**2 + 3992*u + 23984\/3 = 0.\nAnswer: -4, 1499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-315)*-7)\/((-17)\/(-34))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7942 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4\/11)*u*u**(-8)*(u\/((u**(-1\/5)\/u)\/u)*u)**(8\/21))\/(u**(-1\/13)\/u**(1\/8)*u**(-1\/4)\/u*u**(-5\/2)) assuming u is positive.\nAnswer: u**(-10363\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 3\/4 (c) -0.06 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6 - 11) + 6)*1*8999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(-2\/5)))**(9\/10) assuming k is positive.\nAnswer: k**(27\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/11))\/w)**16)**17 assuming w is positive.\nAnswer: w**(544\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 0, 0 = 4*d + 5*w + 4 - 35. Suppose -2*f + 14 = d. Suppose 2*g - 31 = 4*o + o, -f = -o. Calculate the greatest common divisor of g and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l. Let r(y) = -4*y. Give j(r(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13112664*z**2 - 152920579.\nAnswer: -26225328*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1969*d - 3*u = -1968*d - 1, 2*u = -3*d - 10 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2281 and 5.\nAnswer: 11405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*g + 979*g = -5580 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1021.247047716 + 180\nAnswer: 1201.247047716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 15*c**2 - 15*c + 17. Let a be y(14). Let p(g) = -g**3 - 2*g**2 - 1. Give p(a).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:00 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.90213 decades to centuries.\nAnswer: 9.290213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -666, -775, -884, -993, -1102, -1211?\nAnswer: -1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*3 + (sqrt(225)\/sqrt(9))\/sqrt(5))**2 + 1)*-3.\nAnswer: -14418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from masamamssmmvpmmms. What is prob of sequence vs?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665.67339ms to days.\nAnswer: 0.000007704553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:52 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12200326 - 4?\nAnswer: 12200322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 8*b + 9. Let j(x) = 4*x - 7. Let s be j(0). Let m be q(s). Let c be ((-3)\/m)\/(18\/12120). Round c to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujljljllljljjllljjll. Give prob of picking 3 l.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 3696617.\nAnswer: -32\/3696617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - 12*w - 36. Let y be v(-4). Let n = -12 - y. Solve 5*t - 5*d = 0, -n = -5*t - 4*d + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saassdvssh. Give prob of sequence dvas.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 143. Suppose -2*s = 2*w - 26, 4*w - 70 = -4*s + z*w. Solve -3*r = -0*r - s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c - 21 = -197. Suppose -3*s + 3 = 3*i, 3*i + 2*s - c + 0 = 0. Solve -4*a = -i - 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71737*u**2*x - 8042*u*x - 2*u + 5*x + 2 wrt u?\nAnswer: 143474*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1) + (-4176)\/(-24). Calculate the highest common divisor of r and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 + 111889*n\/5.\nAnswer: n*(n + 111889)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101069328.00000451 + -101070045. Let q = y + 717. What is q rounded to seven dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35237 + -35236. Sort y, -52, -1, 0.1, 4 in ascending order.\nAnswer: -52, -1, 0.1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 155\/55 - (-2)\/11. Let i(r) = -3*r + 5*r**3 + 2*r**3 + 5*r**2 - 3*r**l - 5*r**3. Calculate the remainder when 26 is divided by i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.47 - -10.58. Let i = s - 0.11. Let q = 0 + 1. What is the second biggest value in 2, i, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let a(b) be the first derivative of -9086*b**2 + 2*b - 3. Let i(q) = 2*a(q) + 20*p(q). Let w be i(11). What is w rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8)*((p\/(((p**(-22)*p)\/p)\/p))\/p)\/p*p\/(p\/(p**(-2\/13)*p))*p**14\/p)**(-41\/5) assuming p is positive.\nAnswer: p**(-3075\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.096 (b) 0 (c) -239.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**9\/252 - 361*c**6\/120 - 959*c**5\/30 - 222*c**2. What is the third derivative of m(l) wrt l?\nAnswer: 240*l**3 - 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27066647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (0 + -1 + 7 - (-81 + 81)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.3 + -17. Let n = -0.4 + i. Which is greater: 17 or n?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7191.567 litres to millilitres.\nAnswer: 7191567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and -94756861.6.\nAnswer: -94756861.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x. Let j(q) = -4279*q**2 - 12*q - 12. Determine j(i(m)).\nAnswer: -106975*m**2 - 60*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l - 2661 + 44 - 793.\nAnswer: -3*l - 3410","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -795696 divided by -12056\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 651, 2663, 1 in increasing order.\nAnswer: -3, 1, 651, 2663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 0, 3 in decreasing order.\nAnswer: 204, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.60674 and 0.3.\nAnswer: 6.182022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -41603 divided by 5?\nAnswer: -41603\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**23)**(-1\/16)\/(y**(-14\/5)*y**21\/y) assuming y is positive.\nAnswer: y**(-1491\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2253\/4*m**2 - 27 - 147\/8*m**5 - 315\/2*m**4 - 441\/2*m - 3771\/8*m**3 = 0 for m.\nAnswer: -3, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7693403\/601 - 12801. Let u = p + -41485\/4808. What is the common denominator of u and 2452\/120 + (-9)\/15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 + (36 + -18 - 15) + (-12 - (-1 - 2))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v + 400 = -41*v. Do 31 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 14*b - 10. Let y(x) = -4*x**2 + x + 18. Let o be y(3). Let g be i(o). Let a(k) = 3*k + 2. Let p(r) = 6*r + 3. What is g*a(t) - 3*p(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15789, -32150, -49081, -66582, -84653, -103294, -122505?\nAnswer: -142286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 340\/1449 + -2\/161. Let f(y) = 2*y + 4. Let s be f(4). Let v be (-3)\/s + (-22)\/(-56). What is the third biggest value in v, 3, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + -2 + (-1 - -3) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*t + 7*t. What is the second derivative of -2*b**t + 0 + 6*b - b + 0 wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*c**2\/2 + 147293*c\/2 + 1169.\nAnswer: -(c - 2338)*(63*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2)*y*y*(y\/y**(3\/2))\/y assuming y is positive.\nAnswer: y**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 3*y**5\/2 - y**4\/2 - y**3 + 3*y**2\/2 + y - 23. What is the units digit of f(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 25. Let w be t(13). Let d be 40\/w*(-12)\/(-8). Suppose 0*o = o + 4*m + 23, -d*o - 77 = m. Is o less than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z. Let q(h) = 55*h - 66. Let p(a) = a - 1. Let o be (-9)\/(-2)*(-352)\/(-24). Let l(y) = o*p(y) - q(y). Give l(i(t)).\nAnswer: -11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1\/3 (c) 2 (d) 16 (e) -2\/3 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66428298 + -66428369.000114. Let w = n + 71. What is w rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 518 = -2*w, 0*w - 4 = w. Let t = 170 + s. Find x such that 0*x + t*x**2 + 0 + 2\/19*x**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nansd. Give prob of picking 1 s and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 7*a + 8 = 0. Suppose 12 = a*x + 2*x. Solve 5 + 1 = -x*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258 - 342*a**2 + 258.\nAnswer: -342*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 232*b**2. Let p(y) = 68*y**2. Give p(f(n)).\nAnswer: 3660032*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 3. Let i be u(-8). Suppose 35 - 5 = i*o. What is the tens digit of (-13)\/(-1) - 12\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -161, -157, -3, 2\/11?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -13. Suppose 24 = -u - 5*y, 0 = -u - n*y - 9 - 5. Sort u, 7, 3.\nAnswer: u, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102022 (base 3) to base 14.\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**4*x + 4*d**4 + 3*d**3*x**2 + 106*d**2*x**2 wrt d.\nAnswer: -24*d*x + 96*d + 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 126369705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3357*f**2 + 11025 - 11025 to k*f**2 + o*f + u and give k.\nAnswer: 3357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 121819616 to the power of 1\/2, to the nearest integer?\nAnswer: 11037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*o = 616 + 678, -3*z = -o - 964. Suppose 2516 = -2*d + 6*d. Let b = d - z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1400 and -93\/640?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 437, 872, 1307?\n\"Answer: 435*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -5*b + 9. Let a be -3*(32\/3)\/(-2). Let k = b + a. Solve p + 3*h + h = -k, -15 = 3*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 414 + -844. Let s = -395 - w. Calculate the smallest common multiple of s and 21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/10))\/(s*(s*(s**(2\/47)*s)\/s)\/s*s))**25 assuming s is positive.\nAnswer: s**(-1745\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 40. Let m = w + 80. Let t = 22 - m. What is the third biggest value in t, -1, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a\/a**0))\/a))**(-3\/20)*a*a*(a\/(a**(-4)\/a))\/a*a*a\/a**(-3\/5)*(a**(-2\/3))**(1\/6)*((a**4\/a)\/a)\/a**(-3) assuming a is positive.\nAnswer: a**(1277\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -63, -25, 29, 99, 185?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10*(31 - 6). Let j be -1 + (-5)\/(w\/(-4)). What is the units digit of (1 - -3)\/(j\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000229179 to 7 dps.\nAnswer: 0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/2484427 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 11168 - 11243. Let c = -3 - -5. Let r(a) = a**3 - 6*a**2 + 2*a - 6. Let y be r(6). Solve 5*q + 10 = 4*t, -c*q + y = -4*t - w*q for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1292491734 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*m + 104 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 38*p - 42*p - 52570 = 0, 3*g - 78850 = 5*p. List the prime factors of g.\nAnswer: 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328 - 305. What is the remainder when 549 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 3*s - 186, -4*q = 2*s - 212. Calculate the lowest common multiple of q and 376.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 16 - (4 + -12 - (3 + -4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 125\/(-360) + 4\/18. Let l = 5 + -4.5. What is the nearest to 1 in -1\/6, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 20*i**4 + 989254*i**3 + 3660022*i**2 + 2769680*i - 1187016 = 0.\nAnswer: -49459, -2, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 226, 6 in decreasing order.\nAnswer: 226, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19143298451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/((-175)\/10)*5. Find the third derivative of -1 + 749*g - 22*g**3 + 20*g**k - 749*g wrt g.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/35 or -3\/7?\nAnswer: -12\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4 + s - 4*s + 4*s. Let z be m(4). Solve 3*f + f = z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 2*h**2 - 7. Let a be g(-3). Let n(k) = 5*k**2 - 3*k**2 - 5 - a*k + 8. Let d be n(0). Solve d*x = 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(108\/30)*1\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -2 + (35 - 0). Suppose j = -11 + b. Suppose 5*u - 6 = -2*s + 6, 0 = s + 5*u - 6. Calculate the lowest common multiple of j and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, c: 13, v: 3}. What is prob of picking 3 v and 1 c?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -22*z**2 + 6*z + 22. Let m(h) = 7*h**2 - 6*h - 11. Let c(a) = 22 - 34 - 7*a + 7*a**2 + 0*a. Let i(d) = 4*c(d) - 5*m(d). What is -16*i(n) + 5*u(n)?\nAnswer: 2*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 6287350223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1045 + -1045. Let m(n) be the first derivative of -11 + c*n**2 + n - 8\/3*n**3. Differentiate m(d) with respect to d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 12:25 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -1. Let g be -4 + (-24)\/n + 4. Which is bigger: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432.09 rounded to the nearest ten?\nAnswer: -1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2580.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 35 - 3*o - 133 + 75.\nAnswer: -3*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1455*p + 183 + 171 - 354 - p**2 to t + v*p + o*p**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2330300 to the nearest ten thousand.\nAnswer: -2330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3\/t)**(9\/7))**42\/(t**(2\/21)*t**2*(t\/(t*t*t**(-1)*t))\/(((t\/t**(-6))\/t)\/t)) assuming t is positive.\nAnswer: t**(2350\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120013, 484788, 1092747, 1943890, 3038217, 4375728?\n\"Answer: 121592*z**2 - z - 1578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223438391*p**2 + 285443*p + 383 wrt p?\nAnswer: -446876782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 733*j**3 + 8*j + 1002*j**3 - 6*j**2 + 1294*j**3. Let y be l(8). Round y to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9198 + -6888. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -8*w + 112. Calculate the remainder when 78 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(20\/(-46)))\/((-220)\/(-880))*15\/(-18)\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1377) + 0)*-5.\nAnswer: -45*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 36*a - 39*a + 14 = 0, 22 = 5*k - a. Let c = -3 - -5. Let r = c + k. Calculate the least common multiple of 7 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 115*f - 28. Let a(o) = -77*o + 19. Let h(y) = 7*a(y) + 5*v(y). Let q be h(-4). What is the tens digit of q\/(-2) - (-1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 16. Suppose z + 2*p = 3, 5*p = -0*z - u*z + 6. Suppose -5*s = -d - 90, 6*s - 71 = z*s + 4*d. Calculate the highest common factor of 68 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19, -76, -231, -532, -1027, -1764, -2791, -4156?\n\"Answer: -8*m**3 - m**2 + 2*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -2228, -7257, -16992, -32999, -56844, -90093, -134312?\nAnswer: -191067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 578087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17587916 is divided by 168.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:07 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 130 + 246. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 25*r**2 + 26*r - 1. Let d be c(26). Let t(v) = 9*v**2 - 5*v - 5. Calculate the lowest common multiple of 4 and t(d).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3693 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Suppose -l + 2*l = 5*l. Let x = a - l. Solve -x = p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 3686504*o + 849394483876.\nAnswer: 4*(o + 460813)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 21*w**2. Let c(i) = i**2 + 18*i**2 - 5*i**2. Give j(c(x)).\nAnswer: 4116*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70312 and 4653.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0327596, 0.2, 7, -2 in descending order.\nAnswer: 7, 0.2, 0.0327596, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 271*n**4\/12 - 14*n**3 + 219*n. Find the second derivative of g(y) wrt y.\nAnswer: 542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11898211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 26. Let q = 25 + w. Calculate the highest common divisor of 57 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*s**5 + 39*s**4 + 2*s**3 + 526*s**2 wrt s.\nAnswer: 5040*s**2 + 936*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18599.\nAnswer: 7, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + ((-1044)\/(-116) - (0 + 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -126616.39 - -126477.389858. Let m = -139 - y. What is m rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 12 - 6)*(1 + a - 1)*(0 + a + 0).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2478 - 2477. Do -3\/340 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215854243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**3 - 13*t**2 + 6*t + 7. Let f be k(6). Let b(g) = -g**2 + 16*g + 7. What is the units digit of b(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/30 - (-17)\/5. Factor 12*j - 9*j**2 + n*j**3 - 6*j**2 - j**2 + 8*j - 8.\nAnswer: 4*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d**4 - 19886*d - 86573 wrt d.\nAnswer: 36*d**3 - 19886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/352 and 73\/13184.\nAnswer: 145024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/11 (b) 3 (c) -0.3 (d) 21.201 (e) -2 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 14*o - 60. List the prime factors of z(13).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19\/11 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 1982*t + 163437. Determine m(-391).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*f + 15 = -183*f + 4*a, 0 = -5*f - 5*a + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + (71 - 70) - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 181535589 and 181535589 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22 + -27 - 2*-1. Let n(a) = 5*a - 2. Let x(w) = 6*w - 2. What is f*n(k) + 2*x(k)?\nAnswer: -3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {w: 7, l: 1, s: 2, i: 2, n: 3, u: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 4*q + 2. Determine c(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by 13.\nAnswer: -134\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6796*l**5 - 91*l**4 + 1098228*l**2 wrt l?\nAnswer: -407760*l**2 - 2184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -4127*q**5\/30 + 2513*q**4\/12 + 5620*q**2. Find the second derivative of h(l) wrt l.\nAnswer: -16508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -303112222?\nAnswer: 303112233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -365.5 - -365. Let y = -0.02 - -6.02. Let k = -4 + y. What is the closest to 0 in k, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67884?\nAnswer: 2, 3, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15658 rounded to the nearest 100?\nAnswer: -15700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffchvh. What is prob of picking 1 h and 2 f?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (14 - (669165\/75 - -13))*10\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 294?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 10. Let z be u(-3). Suppose -z*i + 26 = -9. Suppose g = -i*g. Sort -4, g, -3.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:22 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29796750055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41782051 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - 32\/12 - (-20)\/(-6). Let v be (24 - -6) + 3\/(j\/2). Suppose -v*s + 501 = -25*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80)\/sqrt(2))\/(sqrt(8) + -4*(sqrt(24)\/sqrt(3) + sqrt(8))).\nAnswer: 2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + (-3*sqrt(175) - sqrt(175)) + (-2 + sqrt(175))*5 + -5))**2.\nAnswer: -2500*sqrt(7) + 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96864 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1743*q + 869*q + 868*q. Let h(o) be the second derivative of o**3\/3 - 17*o**2\/2 + 2*o. Let a be h(8). Calculate d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -691787839.3 rounded to the nearest one hundred thousand?\nAnswer: -691800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3573 + 0*b + 3571 - 2*b. What is m(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8420d (base 14) to base 6.\nAnswer: -10455301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 11310*x - 146523.\nAnswer: -3*(x + 13)*(x + 3757)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/70 - 2\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 184 = 4*q, -3*s + 552 = -4*q. Let y be 3\/(5*(-3)\/(-25)). Suppose s = -y*c + 9*c. What are the prime factors of c?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 > 14\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2 - 3*m + 1. Let c be k(-3). What is the remainder when 17 is divided by ((2 - c) + -1)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - w - 2. Let h be c(-3). Suppose -4*z - z + h = 0. Solve -k - z*n - 7 = 0, 3*k - n + 7 = -0*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10664722.\nAnswer: 2, 59, 90379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 14*k**2 - 1603*k - 17279. Calculate g(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67741 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -10, -184, -4 in ascending order.\nAnswer: -184, -10, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 160404919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*o + 1116087 = 1102563 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7392 and 3701313.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -87, -15, -2 in descending order.\nAnswer: 3, -2, -5, -15, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from wxxxxxhhcdxhc?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f**4 - 23. Let n(b) = -7*b**4 - 12. Let d(m) = 2*g(m) - 5*n(m). Differentiate d(k) with respect to k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let q be (-1)\/2*6*-1. Let u be h(q). Suppose -u*i + 1055 = 3*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100010120120 - 10?\nAnswer: 100010120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/20)\/w)**(-2\/23)\/(w**(-1\/22)\/(w**23*w)))**(-1\/9) assuming w is positive.\nAnswer: w**(-10174\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/20? (a) 5 (b) -2\/3 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**5\/30 - 11*u**4\/24 + 13*u**3\/6 + u**2 + 82. Let q(h) = -h**3 - h + 6. Let l be q(0). Is i(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*k + 2, 0 = -4*p - 8*k + 12*k + 40. Solve -4*z = 2*j + 12, p = j + 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 57*y + 1820 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -233 - 90. Let l = -153 - v. What are the prime factors of l?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*x + 1347, 10*z - 9*z = -7. Calculate the greatest common factor of 2035 and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117993150 divided by -4719726?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1209*l**2. Let p(k) = -180*k**2. What is p(m(h))?\nAnswer: -263102580*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -5) + 0 + (-3)\/15\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15664 is divided by 392.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:34 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t + 1. Suppose 2*x + 2*v + 24 = 7*x, -2*x - 3*v = -t. Let u = x - 0. Solve 5*w - 2*c + 7 = 0, -w + 2*c = -u - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 256*s**3 - 1128*s**2 + 3040*s - 1652.\nAnswer: -4*(s - 1)**2*(s + 7)*(s + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -152, -218, -246, -230, -164, -42?\n\"Answer: x**3 + 13*x**2 - 112*x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*-1*12\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3 (b) 0.4 (c) 0.2 (d) 271 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**3 + 66*a**2 - 66*a**2)*(1 + 2 - 1).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*y - 325 = 0, -5*y = -4*t + 1024 + 276. Which is the nearest to 1? (a) t (b) -2\/9 (c) -2\/3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10420 + -1100120?\nAnswer: -1111040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 3\/4 (c) -270\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -895151 in increasing order.\nAnswer: -895151, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyu when four letters picked without replacement from uyyyyuyyyyyy?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 7. Let x be k(7). Suppose -6*d = -x*d - 24. Solve 2*g = q - 1 - 1, -d*q - 5*g - 5 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 80*n**2 + 340*n + 400.\nAnswer: 5*(n + 2)*(n + 4)*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.997797 centuries to decades.\nAnswer: 39.97797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 511668439 - 511668442.00000029. Let w = 3 + d. Round w to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 9095.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 510 + (1 - (-25 + 16)). Solve -z*o + 110 = -542*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 - t**2 - t**2 + (-5*t - 8 + 8)*(49 - t - 49) in the form k*t**2 + g*t + y and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009911 is divided by 669949?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 5 - (12\/54 - (-94)\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255078959.\nAnswer: 255078959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 32695.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27070, -25251, -23432?\nAnswer: -21613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*x - 80, 0 = -435*k + 440*k - 20*x - 5 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y + 2206. What is the units digit of z(-46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 57579 and -3240.0194.\nAnswer: 54338.9806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/87)*o)**(-34)\/(o**(-45))**(-2\/3) assuming o is positive.\nAnswer: o**(-8458\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 2*p = 0, 0 = -3*a - 2*p. Suppose -2*c = 5*h - 58, 5*c = c - 4. Calculate the remainder when -2 - a - -4 - -33 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 404, -15, 73, 5, 2 in ascending order.\nAnswer: -15, 2, 5, 73, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:13 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 102010101 (base 3) to base 16\nAnswer: 1fae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 95*g. Let m(u) = 7*u**2 + 5*u + 10. Let q(v) = 8*v**2 + 6*v + 12. Let b(c) = -6*m(c) + 5*q(c). Determine b(z(o)).\nAnswer: -18050*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -2*o + 47. Let y be 1\/(-2) + o*(-5)\/(-10). Let s = -15 - y. Solve -g = 5, 4*v + s*g + 25 = -2*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 8. Let y(b) = b - 5*b - 2*b - 7. Suppose 0 = -2*a - 5*i + 8, -8 = 2*a - 4*a - i. Let m(t) = a*y(t) + 3*o(t). Determine m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -6, 1, -3, -21, -24, 0 in decreasing order.\nAnswer: 1, 0, -3, -6, -14, -21, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rryrrrrjyrjl. What is prob of sequence rjyj?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 35*l - 18*l - 12*l + 67*l + 57*l.\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 31*c + 59 = -36*c, 0 = -a + 3*c + 20. Solve -a*r + 101 = 90 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 753 - 247 - 252 - 248.\nAnswer: 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 11*r - 14*r. Solve -r*v - 20 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g**3 - g. Suppose 0 = u + 4, a - 4*u + 5*u + 3 = 0. List the prime factors of t(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + 0 + sqrt(1872)))**2 + (sqrt(91)\/sqrt(112) + sqrt(13) + sqrt(637)*2 + -4)**2 + 0.\nAnswer: 1414*sqrt(13) + 531957\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + -26 + 5 + 4 + (2 - 9)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156b0 (base 13) in base 10?\nAnswer: 40703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u = -42*u. Suppose -4*w + 2*l - 3 = 3, u = 5*w + 3*l - 9. Suppose -2*i = -4*t + 38, t + 3*t = 4*i + 44. Solve -t*z + 6*z = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 6*p - 3*p + 6, 4*p + 10 = -2*s. Let m be (-3)\/s*(-13)\/((-858)\/4). What is the third biggest value in 8, m, -0.07?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*n - 32*n - 163625 = 0. Calculate the highest common factor of n and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 0*l**3 - 1\/2*l**2 + 13*l + 0 + 1\/12*l**4. Let i(k) = -k**3 + 4*k**2 + 2*k - 6. Give i(j) - 4*n(j).\nAnswer: -j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32892786 divided by -1827377.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -367. Let c = 369 - f. Calculate the remainder when 14 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47b694 (base 12) to base 4.\nAnswer: 10123110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 741804 and 2436?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050640 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310398097 to the nearest integer?\nAnswer: 17618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 5*k**2 + k**2)*(-43*k - 13*k + 157*k).\nAnswer: 202*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -13*k**3 + k**2 + 13*k - 33. What is x(0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62504 is divided by 61630?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3\/7 + 5353*a**2\/7 + 1276*a - 3572\/7 = 0. Calculate a.\nAnswer: -2, 1\/3, 1786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 3 = 29*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-85)\/(-15) + 2\/(-3). Suppose 35*l + 6217 = -2323. Let w be 3*l\/(-132) - (5 + 0). Which is the third smallest value? (a) s (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 9143595\nAnswer: -1\/9143595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 286 = 67*c + 287 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (4 + -6 + 0 + (12 - 44)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177054 is divided by 29502?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/(-24) - 26\/(-39) and -61\/38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*k = 228*k + 20055. Solve -k*x + 963*x = -16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*k + 93*k = -8 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3 + 6. Let c(f) = -4*f**2 + 11*f + 2. Let s(q) = 3*q**2 - 9*q. Let v(a) = 2*c(a) + 3*s(a). Calculate v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/4 + 4*u**3\/3 + u**2 + 3*u - 1. Let r be (6 + -9)*(1 - 0). Let d be z(r). Solve d*n - 25 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5190 - 1084 = -2871*z + 35687 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 35\/(-14)*1\/((-10)\/88432). Let a = -15347 + r. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 103*z**3 - 5*z + 9*z.\nAnswer: -103*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 1 - (2 + (3 - 46)). What is the greatest common factor of s and 378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/60 - u**4\/12 - u**3\/6 + 5*u**2. Let x be b(8). Let z = x - 43. Solve 0 = 2*s - r + 11, 2*s - z*r = -0*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 9\/2 (c) 151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0, 8, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 168 and 136164.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -44 - 52. Let z be 3 - (-8)\/o*4. Let u = 8 - 3. Solve -u*g + 19 = z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13127 times -12?\nAnswer: 157524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 3*d - 1. Suppose -4*j = 4*q - 8*q - 40, -5*q - 2*j = 15. Let y be b(q). Suppose -5*a = -y*a + 18000000. Round a to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 177, 383, 589, 795?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*(-267104)\/(-982).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 8 = 2*t. Suppose 5*n + t = 2*s - 6*s, n = 0. Which is smaller: 1\/10 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47)\/(-16)*-2)\/((-16)\/128)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -8. Let d = w - -3. Is 12 a factor of (-52)\/(-3) - d\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {w: 2, r: 5, b: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/(-20))\/((-477)\/(-170)). Let m = 20369\/3180 - x. Find the common denominator of m and 19\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4417947 divided by 29?\nAnswer: 152343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rroodnoppnodooo. Give prob of sequence rd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(-210)*(-112)\/(-18))\/((6\/(-81))\/(-2)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -226 + 227. Let p = 6\/37 - 61\/148. Is f bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) + -2)*1)**2 + (2*(-1 + sqrt(1216)))**2)*6 - (1 + (sqrt(1216) - (-3 + sqrt(1216) + 0) - (sqrt(1216)*-1)**2*4)).\nAnswer: -576*sqrt(19) + 41388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5.7 times -181094\nAnswer: 1032235.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 9867*t**2 - 19757*t - 36198. Calculate k(-3291).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*g + 7*g**2 - 29*g + g - g**2 - g + (2*g + 1 - 1)*(-g + 0*g - g))*(1 - 1 + 2*g**2).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 2*l**2 + 4. What is o(5)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - ((1 - -4) + -3)) + 107. Suppose g = -5*x + n + 89, -g + 2*x + 158 = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-10)\/(k**(-2\/13)\/(k**(-1\/6)*k)) assuming k is positive.\nAnswer: k**(136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r*y**2 + 136*r + 228256*y**4 + 1129 wrt y.\nAnswer: 2*r*y + 913024*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13711 is divided by 381?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9)\/i)\/(i\/(i*i*i**(2\/33)*i)*i*i)*i**(5\/7)\/i**12 assuming i is positive.\nAnswer: i**(-4903\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 2. Let i be m(-5). Let z be i\/(-18)*3 - 9\/(-6). Solve -z*x + 4 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46109 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/26)\/(2\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -681.4 rounded to the nearest 10?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n**2 + 95*n**2 - 45*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 315\/4 (c) 1\/4 (d) -0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639763 is divided by 102?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -319 by -3308774.\nAnswer: 319\/3308774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 51.1. Is 8 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2444*s + 1. Let b(i) = 259128*i. Give u(b(k)).\nAnswer: -633308832*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 5*r**2 - 8*r - 8. Let t be -1 + 96\/(-20) - 1\/5. Let p be s(t). Suppose -3*u - p*d = -16, -5*u - 2*d - 2*d + 32 = 0. Round u to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - f**2 - f**4 + (4*f**2 + 0*f**2 - 2*f**2)*(f - f + 2*f**2) - 291*f**4 + 468*f**4 + 975*f**4 as a*f**4 + o*f + q*f**2 + n*f**3 + u and give a.\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -486*k - 3727 - 15227 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -18. Let b = 1 - v. Let u be ((-135)\/15 + 9)\/6. Sort 6\/7, u, -20, b in increasing order.\nAnswer: -20, u, 6\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3067090 rounded to the nearest ten thousand?\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018428 rounded to 5 dps?\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 + (-92)\/(-9). Let x = 13 - l. Suppose 8 = 2*p, 1 - x = -2*t - 2*p. Sort -5, t, 6 in decreasing order.\nAnswer: 6, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 954 and 38570274.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188 or -5827\/31?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 + 132*r**2 - 500642*r - 1503060 = 0. What is r?\nAnswer: -533, -3, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(320) + 3 - (sqrt(320) + 2)*3) + sqrt(320) + (sqrt(320) - (-2 + sqrt(320) + -4)) + 2 + sqrt(320) + 1)**2.\nAnswer: 192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 2*k + k)*(204*k**2 + 431*k**2 - 124*k**2) - 3*k**3 + 0*k**3 + k**3.\nAnswer: 2553*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12828.6 + 12345. Round j to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1444 and 35\/2769744?\nAnswer: 52625136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/41899 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 522 + -508. Let q(c) = -38 + 360*c**2 - 23 + 17 + 6*c. Let j be q(a). What is j rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2. Let y(r) = -10*r - 24. Calculate y(w(a)).\nAnswer: 10*a**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 15*h + 9904566. Suppose s + 1637153 = 685507. Let f = s - h. What is f rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 6:22 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 45a6?\nAnswer: -45a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 140 = -2*v. Solve 14 = 2*i - 5*r, -2*i - 2*i = 4*r + v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from rrseerrre?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)\/t)**(-24)\/(t**1)**(-1\/21) assuming t is positive.\nAnswer: t**(673\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -86, -129, -190, -269, -366?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*n**2 - 1209*n**2 - 20*n**3 + 599*n**2.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2724 and 1589.\nAnswer: 19068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 11 - 5, 5*a = 5*i + 20. Suppose -u = -4*t + 6, a*t - 22 = -3*u + 2*t. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2066*h. Let g(v) = -6*v**2 + 3*v - 14. Give g(k(z)).\nAnswer: -25610136*z**2 + 6198*z - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 60*u**3 + 386*u**2 - 960*u + 512.\nAnswer: 2*(u - 1)**2*(u + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.65 and 89.\nAnswer: -57.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9717.508259 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1 + 4 - 2*f + 5*f**2 - 6*f**2. Suppose 43 + 52 = -19*s. Calculate v(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 + 0 + 8*n**2 + 0 to the form s + o*n + j*n**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 673 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 3014 + 3014. Let x(p) = 3*p**2 + 3. What is z(x(o))?\nAnswer: 18*o**4 + 36*o**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 772197233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6632, -13279, -19926, -26573, -33220?\nAnswer: -39867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 681 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -3) + -39 - (3 - (-4 - 1))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2\/(-3)) + 0. Let k = 43 + -1.1. Let u = 42 - k. What is the closest to u in -5, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5018857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2387)\/35 + (609\/(-21))\/(-145)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*l - 70 = 0, 133 = -4*k + 9*k - 2*l. Let g(x) = -50*x - 38*x + k*x. Let r(u) be the second derivative of -u**4\/6 + 2*u. Give r(g(j)).\nAnswer: -7938*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 5 + 3)*(6*c - 3*c - 4*c) - 2*c + 3 - 3 + (0 + 2*c + 0)*(-537 + 957 - 534))*(5 - 7 - 8*c - 2*c).\nAnswer: 2320*c**2 + 464*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 60*x - 185. Let f(z) = z**2 + 60*z - 186. Suppose -4*g + 6 = -3*g. Let v(r) = g*l(r) - 5*f(r). Factor v(q).\nAnswer: -5*(q - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -225 - -4727\/21. Let j be ((24\/(-9))\/4)\/((-8)\/(-36)). What is the closest to 1\/4 in z, -2\/5, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -192*d - 14003. Determine r(-51).\nAnswer: -4211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17057395 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 794 - 794. Let u(a) = -a**3 - a**2 + a + 6. Determine u(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*c**2*d*i**3 - 6*c**2*d*i**2 + 3*c**2*i + 16*c**2 - 9*c*d*i**3 - 3489*c*i**3 + c*i**2 + 24*d + i**2 wrt i?\nAnswer: 162*c**2*d - 54*c*d - 20934*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 220532135 to the nearest integer?\nAnswer: 14850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8191766 - -14472.2\nAnswer: -8177293.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from cgacckgckcbg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 5 - 37 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 k when four letters picked without replacement from {r: 3, k: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1539) - ((sqrt(1539) + -2)**2*5 + sqrt(1539) - sqrt(1539))).\nAnswer: -7717 + 189*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i - 4. Let p be x(-10). Suppose -p + 196 = 5*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -37 + 127. Let v(t) = -t**3 - 24*t - 29. Calculate the smallest common multiple of v(-3) and b.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5495 - -5494.8. What is the closest to 1 in -3\/20, x, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.21 - 0.21. Let p = 13 - t. Which is the nearest to 0.2? (a) p (b) -0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 128.788 + 0.212. Let v = 129.0104 - g. Round v to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2006130 divided by -200613\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453035681 to the power of 1\/3, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*n - 5*t - 8, 0 = t + 4. Let y be n*((-80)\/(-36) - 2). Solve -y*j + 6 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 6534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let v(j) = j**2. Let m(q) = 2*g(q) - v(q). Let x(p) = 14*p**2. Determine x(m(t)).\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t - 12. Suppose c + 10 = t*c. Let y be (4\/1)\/((-4)\/(-12)). Solve y = -5*g + c*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 311418 (base 10) to base 7\nAnswer: 2434632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 7*c**2 + 7*c - 3. Let f be t(-8). Sort f, 1\/12, -5 in descending order.\nAnswer: f, 1\/12, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 2844*d**2 + 90 + 2837*d**2 + d + 2837*d**2 - 8530*d**2 to m + x*d + j*d**2 and give m.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*n - 5123 - 1093 = 36*n for n.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/7*f**5 + 121\/7*f - 264\/7*f**2 - 24\/7*f**4 + 166\/7*f**3 = 0. Calculate f.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b + 15*b + 35 = 5*i, 5*b = 5*i + 5. Sort b, -5, -3, 3 in increasing order.\nAnswer: -5, -3, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.26 - 3.9. Let w = 0.26 - l. Is w less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43209945 and 5761326?\nAnswer: 86419890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-10) - (1*455)\/(-1). Suppose 10*b - 29 - n = 0. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 18*t**2 + 15*t - 47. Let z be w(-17). Let h(o) = 63*o + 6. Let y(m) = -31*m - 3. Let p(l) = z*y(l) - 6*h(l). Differentiate p(c) wrt c.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 36*m - 156. Let i be f(37). Suppose -214 - 1261 = -5*l - 5*v, 4*l + 3*v - i = 0. List the prime factors of l.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1097*a**6 + 2*a**4 - 343*a**3 - 2*a**2 + 2*a + 6018.\nAnswer: 131640*a**3 + 48*a - 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*a + 78 = 229 - 75. Solve -3*x - 9 = -7*j + 4*j, -a*x - j = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.3 + 2.7. Let g = c + -14. What is the nearest to g in 0.3, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45307 or 49112?\nAnswer: 45307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 988 and 32?\nAnswer: 7904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -3 (c) 0.4 (d) 0.02021549 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5182 + 1111*f + 5182 to the form r + t*f and give t.\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 63 = -5*v + 2*l, v + 6 = -l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 2*q**2 - 2*q. Let c be v(2). Let d = c - 4. Suppose 0 = -m - d + 35. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*12\/14*1. Let s(t) = -2*t**3 - 4*t**2. Suppose 0 = -5*j + 3 + 17. Let f(o) = -5*o**2 + o**3 + j*o**2 + 3*o**2 + o**2. Give b*f(d) + 4*s(d).\nAnswer: -2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + i**2 + i. Let f be (-2024)\/(-36) - 2\/9. Suppose -n - 3*n = -f. Let c = n + -10. Let z(l) = 2*l**3 - 5*l**2 - 4*l. Determine c*g(u) + z(u).\nAnswer: -2*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(16\/9))\/m)**(-20) assuming m is positive.\nAnswer: m**(320\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6393495218 to the power of 1\/3, to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1529\/630 + 13\/90. Factor 0 + 12\/7*v**3 + n*v**4 + 2\/7*v**2 + 0*v + 8\/7*v**5.\nAnswer: 2*v**2*(v + 1)**2*(4*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**2 - 223 + 392*q**3 + 2*q - 390*q**3 + 8*q**2 + 2*q**2 - 106 as t + k*q**3 + j*q**2 + u*q and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o = -2836 - 6344. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1452 - -54.16\nAnswer: -1397.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -24*i**3 - 4*i**2 + 199*i + 800. What is f(-4)?\nAnswer: 1476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 78892.6818801 and 6.\nAnswer: 78898.6818801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1098018 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 5:16 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -85. Solve -4*p**4 - 7*p**3 + 2*p**5 - 6*p**f + 15*p**3 = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*s + 2*s. Let t(k) = -k**3 + 2*k**2 + 2*k + 1. Let n be t(s). Suppose -2 = -r + n. Are 5 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b - 12 = 0, -3*b - 52 = -4*p. Let t be 52\/p + 1\/(-4). Solve 0*o - o + t = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/23 + 14*p**4\/23 + 76*p**3\/23 + 124*p**2\/23 + 86*p\/23 + 22\/23.\nAnswer: -2*(p - 11)*(p + 1)**4\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 21.96 (b) -3 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:16 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:27 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + x + 70 = 0, -2*x + 250 = k + 3*k. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**4\/12 - 7*b**3\/6 + b**2 - 2*b. Suppose -570*i + 573*i = -12. Determine y(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4 - 1199*j**3 - 359997*j**2 - 356405*j + 717602 = 0.\nAnswer: -599, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(5328\/(-160)))\/(42\/(-9)).\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/14 - 26\/(-7). Let d be 0\/((-5)\/(15\/(-6))). Suppose -4*g - c*w - w + 75 = d, -5*g - 3*w = -110. What is the highest common factor of 275 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10285 (base 9) to base 14\nAnswer: -269a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17483*g + 17478*g + 35 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 + 45*h**3 - 114*h**2 - 180*h + 408.\nAnswer: 3*(h - 2)**2*(h + 2)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -8*z**2. Let v(q) = q - 2. Let h be v(4). Let c(t) = -6*t + t + 5*t - 2*t**h. Calculate r(c(l)).\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217285699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1445035416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 861377743\/17070 - 100923\/2. What is the common denominator of 31\/9 and s?\nAnswer: 25605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 17. Let y(x) = 3*x + 16*x**2 - x - 4 - 3 + o. Is y(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0*b + 2*b + 7*b - 4*b. Let z(x) be the second derivative of 0*x**3 + 2*x + 0 + 0*x**2 + 1\/4*x**4. What is z(t(k))?\nAnswer: 75*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 1. Suppose 3*j + 1 = -8. Let c be p(j). Let n(d) = -2*d**2 + 2 - 1 + 0*d**2 - 4*d**c. Determine n(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**7\/6300 + a**6\/900 - 7*a**4\/12 - 11*a. Let c(j) be the third derivative of o(j). Find y such that c(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 4\/15 (c) 3\/8 (d) -5 (e) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10032\/(-14630)*(-5)\/(-3)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 311*u**2 - 629*u wrt u?\nAnswer: 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*t - 2*t. Let 11 + 6*b**3 + b**4 - 3 + 13*b**t + 12*b - 4 = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17\/7*r - 1\/7*r**3 + 1\/7*r**2 + 15\/7 = 0 for r.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*y**2 - 95*y**2 - 94*y**2 - 94*y**2 + 59*y**2 + 335*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h + 1850 = 5*c + 10*h, 5*c + 5*h = 1890. What is the highest common divisor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695810 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(18\/5)\/q**(-2\/31)*q**(2\/25)*q\/q**(-1\/40) assuming q is positive.\nAnswer: q**(29571\/6200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*p = 0, -b = p - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -55851, -54904, -53957, -53010, -52063, -51116?\n\"Answer: 947*u - 56798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 113. What is d in d**b - 71 + 141 - 72 - 3*d = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -53*z - 150. Determine a(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*(-50)\/125. Which is the closest to 0? (a) v (b) -56 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -5*n - 44. Let d be n + 7\/(7\/(-2)). Suppose 3*r + 13 = 5*v - 0, 5*v - 2*r = 17. Solve d = -4*y + 3*w, -10 = 4*y + 3*w - v*w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 23*k - 116. Give x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31433095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 2136?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4679*d**2 + 2*d - 4260 with respect to d.\nAnswer: -9358*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 5, -54, 7\/8.\nAnswer: -54, -4, 7\/8, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 908424 and 40182?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383 + -199. What is the remainder when j is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.222636 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1, -103.\nAnswer: -103, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 3, -51, -161, -345?\n\"Answer: -3*j**3 - j**2 + 8*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578*q + 4*q**2 - 578*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w + 4. Let p(k) = 18*k - 18. Let q(m) = -1. Let u(v) = -p(v) + 2*q(v). Let f be u(-5). Let j = 109 - f. Determine n(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 1 - (242 - 228).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**3 + q**2 + 2*q - 3. Let w(b) = -b + 1. Let h(x) = -o(x) - 3*w(x). Let p be h(1). Is 10 a factor of ((-4)\/p)\/(4\/90)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693404.5 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 292909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203 and 522.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 334253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7177*86\nAnswer: 617222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -36*b**2 + 21*b - 21. Let j = 83 - 81. Let i(n) = 5 - 74*n**j + 0*n - 5*n + 83*n**2. Let f(r) = -21*i(r) - 5*x(r). Let a(h) = h. What is a(f(z))?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417 times 0.16?\nAnswer: 226.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -403 and -4149?\nAnswer: 1672047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 163364453097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 69*u - 1059 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5\/3 + 248*f**4\/5 - 4662*f**3\/5 + 5476*f**2\/15 = 0.\nAnswer: 0, 2\/5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -94*h - 2074. Give r(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -268, -297, -326?\n\"Answer: -29*w - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 - 6*o**2 + 11*o**2. Let u(w) = -13*w**2. Calculate g(u(r)).\nAnswer: 338*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/630*14)\/(3\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -216*n**3 - 144*n wrt n?\nAnswer: -1296*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1 + 10*w**2 - 13*w - 8 - w**3 + 14. Let m = 2999 + -12063\/4. Find the common denominator of k(9) and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/3))\/(a*a**(-7)*a))\/((a\/a**7)\/a*a**(-11)*a*a) assuming a is positive.\nAnswer: a**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in 5, -15\/7, -1?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 15*u + 1. Suppose -2*j = -2*p - 14, -5*j + 3 = 5*p - 12. Let f be h(j). Let c(q) = -5*q**2. Give c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1) + (22 - (89 + -48))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkysysrss. Give prob of sequence ygr.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -628 + 311. Let o = j - -1344. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-144)\/81)\/(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60595731?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2094 and 2409.\nAnswer: 5044446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**3 + 337*y - 337*y.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -0. Suppose 0 = -j + g*j - 9. What is the remainder when 33 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b*b**5*b))\/b**(1\/8))\/(b*b\/b**(2\/5)*b*(b\/b**(-5)*b*b)\/b))**(-1\/9))**(-22) assuming b is positive.\nAnswer: b**(-6479\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*c + 106*c = -0 + 4. Let g(y) = -y**2 - 2*y + 13. Determine g(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*i = 374*i - 2848 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(4*x + 4*x - 6*x)*(-6*x**2 - 3 + 3).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f + 507945. Let o = -71589 + f. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2494 + -0.062.\nAnswer: 2493.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 25*o + 23*o = 171, 0 = -2*o - 6. What is the remainder when 393 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4433?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 263325 and 60.\nAnswer: 1053300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 47. What are the prime factors of (132\/4 - 4)*14\/u?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -424 + 428. What is the second derivative of 21*c + 2195*c**2 - 2 - 2197*c**2 + 159*c**l - 4 wrt c?\nAnswer: 1908*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*a - 159*a - 4 + 68*a)*(4 - 3 - 6).\nAnswer: 45*a + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, 521, 9 in descending order.\nAnswer: 521, 24, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.9 + 7. Let r = p - -0.9. Which is the nearest to -2\/5? (a) -0.3 (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p + 1. Let o(k) be the third derivative of 5*k**4\/24 - k**3\/3 - 11*k**2. Give 2*o(g) + 3*w(g).\nAnswer: -5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (158 + 216 - 74)*(a**4 + 2*a + a**4 + 0*a**4) in the form n + s*a**4 + w*a**3 + c*a**2 + l*a and give s.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -20*f - 11*f - 11*f + 43*f. Let o(h) = 418*h. Determine a(o(w)).\nAnswer: 418*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/193 and -23\/7.\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -617\/72 - -70\/9. What is the common denominator of v and -35\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 8*m = i - 16, 0 = -2*i + 3*m - 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2 (b) -116 (c) -2\/649\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*l - 82 = 0, -d + 61 = -2*l + 34. Let a = -19 - -159. What is the greatest common divisor of a and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 17, -8, -35?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3723 + -3712. Which is greater: -30 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4 and 93\/1604.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**5 - 3*t**5 + 2*t**5)*(4 - 1 - 5) + 0*t**5 + 5*t**5 + 0*t**5.\nAnswer: 7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*y - 9, 0 = 4*i + 4*y - 12. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1. Let u(h) = h + 11. Let t(l) = u(l) + w(l). Let j be t(-9). Solve 4*d - j = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -327.\nAnswer: 4\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h + 125*h = 40*h + 36*h - 825 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 389 - 501. What is the remainder when 494 is divided by 3\/(-24) + (-5054)\/v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1750 - 956. Let v = 3793 - h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*5\/(-30) + (-2)\/(-4). Suppose -3*t = -o + 8. Is -2 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2860 and 299585?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2857738 and -10.039.\nAnswer: -2857748.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -0.2. Let l be ((-1)\/(-2))\/(6\/(-4)). Let j = 105 - 104.6. What is the second biggest value in j, s, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/11 - 9308*z**2\/11 + 10764408*z\/11 + 152531568\/11 = 0. What is z?\nAnswer: -14, 2334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 - 38*m + 1930. What is y(-28)?\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49031\/6468 - 3\/1078. Let s = 4631\/1516 + -9\/1895. Calculate the common denominator of s and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2576 + -2579. What is the biggest value in v, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k - 6*k + 289. Put k, -5, 1, -3 in increasing order.\nAnswer: -5, -3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39647844, 79295690, 118943536, 158591382, 198239228?\n\"Answer: 39647846*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**4\/4 - 1131*z**3\/4 - 25713*z**2\/4 + 1739811*z\/4 - 1683885\/2 = 0?\nAnswer: -49, 2, 29, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -606*k - 313. Let x be t(-5). What is the highest common factor of 429 and x?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:17 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 22*a - 3*a = 243 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*4\/(-36) + 2 + -8?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/15 + 902\/(-5412)\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*d - 2 + 19, 4*w - 11 = -d. Suppose 0*g**3 - 2*g**4 + w*g**4 + 2*g**3 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrhzhhrzzztzz. What is prob of picking 1 t and 3 h?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*i**2 - 65*i.\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -2*sqrt(1539) + 0 + sqrt(1539))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 158 = 14. Suppose 8*d = 8 + n. Let i(r) = r**2. Give i(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-4 - -3) + 0 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 13.1277753 milliseconds?\nAnswer: 0.00000015194184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 + 82. What is the tens digit of g*(-3)\/(3 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/984 and 119\/460.\nAnswer: 113160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/((sqrt(560) - sqrt(35))\/sqrt(5)) + ((sqrt(117)*1)\/sqrt(9) + 1)**2 + -1.\nAnswer: 7*sqrt(13)\/3 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 4*a. List the prime factors of k(7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 11:27 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(468))**2)*5 + sqrt(78)\/sqrt(6)*-2.\nAnswer: -2340 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -3, 23, 69, 141, 245, 387, 573?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:20 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 12:58 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-110)\/(-2) + -3)*7\/(-28). Let g(x) = 2*x**2 + 26*x - 3. Calculate g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (6 - (-3 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x = -101*x + 5*m + 8, 2*x + 3*m + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570\/(-2625) - ((-8640)\/168)\/30?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42168 is divided by 49.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.197 - 1.803. What is the nearest to r in 0.2, 0.4, 4\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043647 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1225 and -3.07?\nAnswer: 3760.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*-1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -576, -2259, -5054, -8955, -13956, -20051, -27234?\n\"Answer: a**3 - 562*a**2 - 4*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6466 and 37736?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*c**3 - 294*c**3 + 545*c**3.\nAnswer: -66*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 0, 8, -5, 41 in increasing order.\nAnswer: -5, -2, 0, 1, 8, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 3*y**2 + 5*y - y in the form l*y + r + s*y**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5817 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 2. Let k(o) = -1. Give -i(s) + k(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 6*p**2 + 8*p - 3. Let n(i) = -i**2 + 8*i - 8. Let j be n(6). Suppose -j*k - 3 + 31 = 4*c, -7 = -c - 5*k. Calculate q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 + 4*q**2 + 18*q**2)*(0 + 1 - 8)*(0*q + 0*q - 2*q**2).\nAnswer: 364*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 c when three letters picked without replacement from {z: 1, n: 4, w: 1, o: 1, c: 8}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.411 + -0.011. What is the nearest to -3 in -2, 5, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-617604)\/(-1872) - ((-1)\/(-4))\/(-1). Let i = 330 - f. What is the third biggest value in i, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + 13 - 3*s - 3*s**2 + 18*s**2 - 12 as f + m*s**2 + d*s and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 - i. Let w be v(-1). Is (-1806)\/(-24) - w\/(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13623, -30459, -47301, -64149, -81003, -97863?\n\"Answer: -3*i**2 - 16827*i + 3207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 1. Let t = 881 + -4424\/5. Is t equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - j**3 + 0*j**3)*(-4*j**2 - 8*j**2 + j**2) + (3 - 3*j - 3)*(0*j - j + 0*j)*(-2*j**2 - j**3 + 2*j**2).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:37 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/517 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4332418, 8664827, 12997250, 17329693, 21662162, 25994663, 30327202, 34659785?\n\"Answer: z**3 + z**2 + 4332399*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 + -33984.\nAnswer: -34019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 10. Let w = -4 + l. Let g(a) = -a**2 - 7*a - 9. Give g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220 + -1212100?\nAnswer: -1221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302787 is divided by 1979?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60942531*h**3 + 2*h + 916923 wrt h.\nAnswer: -365655186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4222239168 divided by -6\nAnswer: -703706528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/(u*u**(2\/3)\/u))))**27\/(u*u*u\/u**(-3)*u**(-2\/25)*u) assuming u is positive.\nAnswer: u**(52\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 28*s + 75, -4*c + 16*s = 19*s + 27 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18932*y + y**2 - 18932*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*j + 211 = 127*j. Let y = j + -108. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 423407613+-2291\nAnswer: 423405322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - t - 3054 = 0. Suppose 5*l + 2*h - 633 = 0, -4*l + h = -0*l - t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 1\/10 (c) -0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15*b**2 - 4*b + 20. Let m(i) = -11*i**2 - 3*i + 22. Give -2*a(x) + 3*m(x).\nAnswer: -3*x**2 - x + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120 - 0*(4 - 5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.06, -10, -1\/3, 7\/73, -1\/5?\nAnswer: 7\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*q**3)*(-3*q**2 + 4*q**2 + 2*q**2 + 2).\nAnswer: -9*q**5 - 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4*(291376\/(-24) - 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324114 - -5\nAnswer: -324109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j + 4*i - 36, -3*j + 9 = -3*i + 2*i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from {b: 3, c: 4, z: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*y**5 - 28*y**5 + 37*y**5)*(1 - 2 + 3) - y**5 + 5*y**3 - 5*y**3.\nAnswer: 159*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - 8*b**3 + b + 5*b**3 + 3*b**3 + 7 as a*b**3 + z*b**2 + n + p*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6882 and 17\/1104561.\nAnswer: 2209122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 32*y**2 + 477*y - 17. Calculate the remainder when 583 is divided by h(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -3. Let m(s) = s + 9. Let t be m(r). Suppose 16 = -t*h + 5*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6367 - 12744 + 220*c**3 - 225*c**3 + 6366.\nAnswer: -5*c**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 3:32 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.1 and -72.86200199?\nAnswer: 74.96200199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1263 + 1258.864. Let r = m - -0.036. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197 + 186.9. Let j = y - -10. Let l = 5.3 + 4.7. Which is the closest to l? (a) j (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84249373?\nAnswer: 13, 73, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*q + 71*q - 248 = 3*j, 0 = 9*j + 361 + 323 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 558 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(1920)) + sqrt(30) - sqrt(30))\/sqrt(6) + -3 - (-3 + (sqrt(50)\/sqrt(5))\/sqrt(2))**2.\nAnswer: -17 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37477 divided by 5?\nAnswer: 37477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 6. Suppose r - a - 2 = 0, 2*r + 2*a - 6*a = 8. Suppose 2*n - 12 + 2 = r. What is u(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -448\/45 - -86\/9. What is the fourth smallest value in 0.6, -1\/6, -1, a?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28\/11 + 313\/110. Let y = -3.7 - -2.7. Is d greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q + 90 = 4*q. Let d be (782 + q)*(-70)\/(-8). What is d rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-1))\/(27\/(-33606)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1080 (b) 0.5 (c) -0.15 (d) -0.4 (e) -1\/4 (f) 763\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**2 - c**3 + 556*c + 1 + c**2 + 553*c - 1089*c as m*c**3 + g + r*c**2 + l*c and give l.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2888\/3 or 963?\nAnswer: 963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076963813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-5 + -1) - (-1 - (-11 + 3))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qmqqqqmqemqqqqq.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 300792 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -999932 - 327125 = -33*l - 64*l. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/783 and -79\/17118.\nAnswer: 496422","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/3 - (-104)\/12. Let n = -1474 - -1483. Calculate the highest common divisor of n and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17339, 17342, 17347, 17354?\nAnswer: 17363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 + 1 = 0. Let p(g) = 16 - 7*g + 43*g**b + 14*g**3 + 15*g**3 - 9*g - 12*g**3. Let x(o) = -12*o**3 + 3*o - 3. Determine -3*p(t) - 16*x(t).\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2009 - -3891. Is q a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o + 22. Give k(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxfrrf. Give prob of picking 1 x and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58 + -20 + (-64 - -9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*o)*(6 - 12 - 1)*(-29*o**2 - 85*o**2 + 0*o**2 - 10*o**2).\nAnswer: -1736*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/96 and -157\/30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5 and 27\/1393.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -47, 4 in descending order.\nAnswer: 4, 1, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-136)\/(-8) - -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = a + 5, 4*a + g + 14 = 0. Does 25 divide a\/7 + (-5268)\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3389271844 to the nearest integer?\nAnswer: 58217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -40*p + 194. Give x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.592378 decades to months.\nAnswer: 671.08536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 5:27 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -12419.364.\nAnswer: -1241.9364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + 137*u**2 - 178*u**2 - 352*u**2 - 299*u**2 - 2*u in the form i + y*u + q*u**2 and give q.\nAnswer: -692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -675 - 2. Let n = f + 737. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Let o(d) = -16*d**2 - 23*d + 23*d. Determine o(g(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14336 divided by -112\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r + r + r)*(-3 - 4 + 5) - 1 + 1 - 15*r + (-8 + 6 - 14)*(5*r - 3*r + 0*r))*(3*r**2 - 5*r**2 + r**2)*(-3 + 1 + 3).\nAnswer: 49*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -76*f + 18. Let z(b) = -198*b. Give g(z(p)).\nAnswer: 15048*p + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222331220 (base 4) in base 13?\nAnswer: 493022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 335933.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 32 + 2549536186\nAnswer: 2549536218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + (9 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -322 - 94*b - 104*b + 197*b + (6*b - 2*b - 2*b)*(9 - 1 + 1) as z*b + j and give j.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82320, 82315, 82310, 82305, 82300?\nAnswer: 82295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/5 - 1239*i**4\/5 - 115449*i**3\/5 + 2614083*i**2\/5 - 4876848*i\/5 + 2379456\/5 = 0 for i.\nAnswer: -216, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -2 in descending order.\nAnswer: 15, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 468637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(2\/41)\/(h*h\/(h**(-2\/3)*h)*h*h*h\/(h**1\/h)*h) assuming h is positive.\nAnswer: h**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 6) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93 + h**3 - 3*h**3 + 63 to k*h**3 + l + u*h + v*h**2 and give l.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27533 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*z + 6, 5*z + 0 + 3 = -4*b. Suppose -4*v - b*w + 11 = -3*v, v - 2*w + 4 = 0. Let a(l) = -2*l + v - 2 - 2 + 6*l. Calculate a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c - 5. Let i be ((-8)\/10)\/((-2)\/30). Let s = i + -23. Let j be d(s). What is the greatest common factor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t**2 + t**2 + 59*t**2)*(5*t - 4*t + 2*t) as p + m*t**3 + x*t**2 + y*t and give m.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**9\/24 + 11*d**5\/20 - 23*d**2. What is the third derivative of i(j) wrt j?\nAnswer: -2520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-11) - (-4)\/(-22). Let m be 4\/1 - p\/(-1). Solve 2*f - 4*f = -m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1371616\/421 + 3258. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otjz when four letters picked without replacement from otozjottjovoovovooo.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 69*u + 49. Let m(o) = 0*o + 2 + 2*o + o + 0. Give m(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1328 - 1366.042. Let o = 38 + a. Let l = -0.04259 - o. What is l rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -809 - -824. Solve 4*m - 5*l + u = -m, -5*l = 3*m + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 160*s**5 + 237*s + 3 wrt s?\nAnswer: 3200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 - 117 + 23*c - 9*c - 15*c in the form j + h*c and give j.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/7, 2\/13, -0.05?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726.536ml to litres.\nAnswer: 0.726536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4 + 7*v**3\/3 + 9*v**2\/2 + 9*v - 2. Let n(k) = -2*k**3 - 3*k**2 - 4*k - 4. Determine -3*h(y) - 7*n(y).\nAnswer: 2*y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5501*a + 3. Let q be w(4). Let y be (-1 - 0) + q\/(-1). What is y rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**3 + w**2 - 4*w. What is i(-2)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*z - 4, 4*w - 18 = -2*z - 3*z. Let g be (8\/(-7) + 2)\/(87\/17864*22). Suppose w*k - 226 = -s, -20 = 3*s - g*s. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2*q - q)*(-q**2 + q**2 - q**2)*(-q - 2*q - q) + (-8*q**3 - 5*q**3 + 2*q**3)*(-q + 0*q - q) - 3*q**4 + 4*q**4 - 2*q**4.\nAnswer: 29*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21))\/((-44)\/(-12) - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30335253 from 0.03.\nAnswer: 30335253.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 152. Suppose -3*a + 2*a + 74 = 0. Let o = r - a. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 20 = 2*u. Let d be u\/35*(-7)\/(-2). Let a be (d - 6\/4)*12\/3. Solve -g + a*z = 1, 13 = -3*g + 4*g + 5*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/3 - 2*a\/3 + 8\/3 = 0. What is a?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 177 - 177. Let f(z) = z**2 + z. Let a(c) = -2*c**2 - 3*c. Suppose 12 = -5*p + 2*m - 0, -4*p = m + 7. Let i(h) = p*a(h) - 6*f(h). What is o(i(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 0\/(-3 + 0). Let t(d) = d + 13. Let r be t(-10). Solve -l*x = -2*v + 26, -16 = -x - r*v - v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -22*o - 60 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -3.2. Let s = 0.8 + q. What is the third smallest value in s, 1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152 - -155. Suppose -k - 32 = -5*k. What is the first derivative of -65*y**p + 34*y**3 - 5 - k + 39*y**3 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561*p = -555*p + 12. Suppose 2*i + 0*i - 8 = 0. Put -1, i, p in ascending order.\nAnswer: p, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/28 - (-1080)\/35. Let u = i + -31. Solve u = 2*p - p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 times 1085\nAnswer: 120435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(-1 + sqrt(3)) + -5)**2.\nAnswer: -150*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -61, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24547033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i + 3 - 3 + i**4 + (-2*i**4 + 0*i**4 + 0*i**4)*(0 - 5 + 1) in the form g*i**3 + z*i**4 + h + j*i + n*i**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/(-5) + (-48)\/80. Put -2, j, 10 in decreasing order.\nAnswer: 10, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-319)\/638*32\/(-104) - (-38)\/260\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71274671*r**3 + 93763373*r**2?\nAnswer: -427648026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 8*q - 5. Suppose -2*y + y + 5*t - 13 = 0, -2*y - 3*t + 13 = 0. Suppose 0 = y*o + 5 + 13. What are the prime factors of z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -148*v**2 - 64*v.\nAnswer: -4*v*(37*v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10028 - 10028.08429. Let x = w - -0.0796. What is x rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2781096 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382515.\nAnswer: 3, 5, 7, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -d + 11, 2*d + 10 = -4*y + 44. Suppose 0 = -4*q - q + 25. Calculate the remainder when y\/(-30) + (-71)\/(-5) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - 4*z - 1. Let d(o) = -13*o**2 + 8*o + 3. Let k(r) = 4*d(r) + 9*f(r). Let u = -194 + 104. Let g = 92 + u. What is k(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 8:11 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 15. Let h be l(15). Let n be (-15 + h)*(-5 - -3). What is the tens digit of (3\/1)\/(n\/110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 63. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/44 and -29\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 6*r + 3*l = -3, 0 = -0*r + 3*r + 4*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(15))\/sqrt(3) - sqrt(5)*-1*-4.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -6\/7 (c) 4 (d) 6 (e) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(-23\/6)*(q*q**7)\/q*q\/q**(-1) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1271*j + 3706. What is s(-3)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, r: 14}. Give prob of sequence rr.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124840\/15605*1\/(-52).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/(-1 - 1). Suppose -10*h - 10 = -0*h. Which is smaller: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3114364 to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2)**2 + (-3 + sqrt(7) - sqrt(7)) + 3 + (0 + (sqrt(7) - sqrt(28)\/sqrt(4)) + sqrt(7)*1 + -1)**2.\nAnswer: -2*sqrt(7) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6730 - 6731.0235. What is d rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12096009 plus -2.67?\nAnswer: -12096011.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**3\/3 + 48. Let o(a) = 4*a**2. What is o(i(j))?\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 3.7. Let w = f - 3.0999955. What is w rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**2 - 22*z - 31. Calculate k(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6324)\/(-2542))\/(-51) + (-184)\/(-410). Let v = 1\/108 + -115\/756. Which is the third biggest value? (a) -0.7 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4759*s - 4759*s + 2*s**2 + 4*s**4)*((-4 + 3 + 0)*(-5 + 3 + 0) + (2 + 3 - 3)*(2 + 19 + 4) - 6 + 1 + 3).\nAnswer: 200*s**4 + 100*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 126*d\/5 - 212.\nAnswer: -2*(d + 10)*(d + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134094984 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64514238 divided by 2.\nAnswer: -32257119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(7 + 6 + 7)*(-3 + 2 + 3)*(p - 3*p + p) in the form m*p + t and give m.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55639971 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2304340220 (base 5) to base 15\nAnswer: -6bba40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3109*f**2 + 153*f + 13. Is g(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (12 - 11 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 49, -78076 in decreasing order.\nAnswer: 49, -7, -78076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:28 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -75, -5, 1, 20 in descending order.\nAnswer: 20, 1, -3, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619611, 2477422, 5573773, 9908664, 15482095, 22294066?\nAnswer: 30344577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((4 - 0) + 29 + -39 + 12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 488444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - 11*t + 2*t**2 + 2*t**2 - 4 + 3*t**2. What is the units digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9077.326988 to the nearest integer.\nAnswer: -9077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26123, 26117, 26107, 26093, 26075, 26053?\n\"Answer: -2*z**2 + 26125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 139*d**2*j - 278*d**2 + 2*d*j wrt j.\nAnswer: 139*d**2 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 723, -2068, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 = 4. Suppose 1877 = v*p - 175. Let x = -3014\/3 + p. Calculate the common denominator of 63\/8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from ffqqffqfqqfqfffq?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*x - 266*x - 338*x in the form i*x + l and give i.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6021059 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, y: 2, n: 3, j: 3, v: 5}. What is prob of sequence nn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2*h - 5*h)*(6591*h + 2987*h + 1199*h) to the form l*h**2 + g + p*h and give l.\nAnswer: -10777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-5 - 106\/(-22)) + -7. What is the greatest common factor of 1377 and r?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10294*t = 10279*t + 75 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/15 - -4*(18 + -9)\/9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/1)\/(3 + (3 - 4)). Put f, 3, 8 in ascending order.\nAnswer: f, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -408 + 203. Let u = -227.6 - g. What is u rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {l: 9, z: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 1\/1*28*(-24)\/(-14).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 768, 769, 770, 771, 772?\n\"Answer: z + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 81*y + 22. Let h(q) = -q**2 + 98*q + 23. Let c(x) = -6*h(x) + 7*l(x). Suppose 3*o + 55 = -4*k - 0*k, 0 = 3*o - 4*k + 71. Does 16 divide c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2. Let m(k) = -k**2 + k + 3. Let q(l) = -1. Let i(y) = -m(y) - 2*q(y). Let o(z) = 12*z**2 - 5*z - 5. Let j(r) = 5*i(r) - o(r). Give b(j(p)).\nAnswer: -49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 8, -0.3, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57808 is divided by 653?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 1. Put -3, 3, 5, c in increasing order.\nAnswer: -3, c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 6*q**2 + q**2)*(-1 + 1 - 2*q) + (-4*q**2 + 0*q**2 + 2*q**2)*(q + 2 - 2).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1308 + -1289. Calculate the greatest common divisor of k and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 74\/14 - (-28)\/(-98). Solve -y*k - 3*v = 0, -v - 3 = -8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13603 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385982287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - s - 8, k - 4 = 3*k + 3*s. Suppose 2 = k*g - 6. Solve 0 = g*c - 0 + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 46 = -0*c. Suppose c = 4*g - 22. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v = 7*v + 7040. Suppose -5*a - 2*g = -6*a + v, -875 = -a - 3*g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(1539)*3 - (sqrt(1539) + (sqrt(1539) + 2 - sqrt(1539)) + 5))**2 - -1*2*(-2 + sqrt(1539))*3).\nAnswer: -576*sqrt(19) + 38509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4\/30)\/(14\/273)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*x - 6, 5*x - 23 = -2*n - 7. Let h(k) = 17*k**2 - 3*k. Let w be h(n). Let z = -17 + w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/2)*v*v)\/(v**(-3\/2)\/v))\/((v*v**(-6))\/v*v**0))\/(((v\/((v\/v**(-2\/19))\/v))\/(v\/v**(-3\/5)))\/(v**(7\/5)*v*v*v**(2\/7))) assuming v is positive.\nAnswer: v**(1914\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.09893265 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322 is divided by 440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-6))\/((-1)\/(-3)). Suppose 2*b + 2*z - 166 = 0, l*b - 2*b + 5*z - 243 = 0. Let y = b + -28. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 14 + z**2 + 28.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21*1\/5 - (-13)\/(-65). Suppose -3*m + 16 = o, 2*m = d*o - 0*m - 8. Solve 4 = -4*j - 4*y - o, j + 3*y = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*n**3 + (7*n - 17*n**2 + 5*n + 14*n**2)*(-3 + 3 - n) in the form i*n + w + o*n**2 + s*n**3 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h - 5*h**2)*(-22 + 11*h + 22 + (0 - 1 + 2)*(0*h + 0*h - h) + h - h - 2*h).\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 8*k - 9.\nAnswer: (k - 9)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 248443*j**4 + 238*j**2 - 765*j wrt j?\nAnswer: 5962632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17212626 and 1178?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4 + (sqrt(300) - (-1*sqrt(300) - sqrt(300))))*3*4)**2*5*6.\nAnswer: -1036800*sqrt(3) + 11733122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 11*f + 2. Let v be s(0). Which is the nearest to 0? (a) v (b) 0 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3801569 is divided by 1724.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193125 is divided by 193090?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 122. Let n = -37 - -92. Let m = n + -55.1. Which is the nearest to 0.1? (a) s (b) 0.039 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 4:47 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)\/(h\/h**(2\/7)))\/(h*(h**0\/h)\/h)**20*(h**5\/h)\/(h\/(h\/((h**2\/h*h)\/h*h*h)))*(h\/(h*h**(2\/3)))**44 assuming h is positive.\nAnswer: h**(-908\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3718106218 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 0, 7*z + 13*g = 8*z + 8*g - 60. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16 + 4 = 0. Let l(t) = -t**3 - 3*t**2 + 4. Calculate the lowest common multiple of l(f) and ((-2)\/10)\/(4*(-3)\/(-60)) - -7.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 8:46 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202010 (base 3) to base 4.\nAnswer: 103320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 12) to base 9.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 50225225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/5)*(-216)\/(-90).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296068*k + 377409*k + 923557*k.\nAnswer: 1004898*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -1. What is the second smallest value in z, -1\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 0*j - 2*j + j + 0*j + j + (-3 - 2*j + 3)*(0 + 3 - 4) - 3*j + 4*j + 0*j + j + j + 0*j + 950*j - 2669*j + 937*j.\nAnswer: -773*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44632)\/31880*(-90)\/(-28).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3505.\nAnswer: 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62233198 and 1501.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - 116*h - 67. What are the prime factors of t(56)?\nAnswer: 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 4 = -8*r. Solve -c = 0, 4*a + 8*c - 4*c - r = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2318453 or -2318468?\nAnswer: -2318468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 515*j - 9192. What is v(18)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 264.00266?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Suppose 3*f - 62 = t*h, -3*f + 3*h + 60 = -0*f. Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 + 142. Let i(p) = -2*p - 9. Calculate the lowest common multiple of i(-6) and r\/6 + (6 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 364, 674, 984?\n\"Answer: 310*d + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjr when three letters picked without replacement from jgccoycorocc.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 26.5. Let f = -8 + 13. What is the second biggest value in j, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 times -2\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millimeter in micrometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70.76*-81.\nAnswer: -5731.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32315 + -1145?\nAnswer: 31170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 18. Suppose -t*h - 39000 = -11*h. Suppose -2*d + h = -7*d. What is d rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**2 + 5*f - 5. Let i(y) = 4*y**2 + 2*y - 2. Let n(u) = 10*i(u) - 4*o(u). Determine r, given that n(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15312915, -30625828, -45938741, -61251654, -76564567?\nAnswer: -91877480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 535 + -534.92. What is the second biggest value in t, 1, 0.04?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 8*o - 546. Let l(p) = 4*p - 6. Let m be l(2). Suppose o = 2*y + s - 6*s, m*y = -3*s + 99. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29.3 - -33.3. Which is the biggest value? (a) p (b) -0.3 (c) -0.75 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:09 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2179*u**2 - 216*u + 1. What is b(-1)?\nAnswer: 2396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08292397336 to 4 decimal places.\nAnswer: 0.0829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 + 0.1. Let r = 1 - 5. Which is the smallest value? (a) 3\/2 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 2. Let j(g) = 32309*g. Give d(j(n)).\nAnswer: 96927*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 879*v. Let y(i) = 144170*i**2. Determine y(k(l)).\nAnswer: 111391652970*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 4*m)*(-5815 - 5796 + 32*m + 11618).\nAnswer: 32*m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 348524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 11000100?\nAnswer: -11000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 15 = 3*u, 2*w + 5*u - 3 = 4*w. Suppose w*h - 318 = -0*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 4. Let f be s(-4). Suppose -4*m - 2*g + 5186 = 0, -m + 4*m - 3897 = -f*g. Suppose 4*j - m = -j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 11, z: 5}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112, 76, -20, -206, -512, -968, -1604?\n\"Answer: -5*h**3 - h + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 d, and 1 n when three letters picked without replacement from {n: 8, a: 1, d: 6, u: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-8)*-2*(-2)\/2. Let b be 145\/50 + (w + -6)\/1. What is the biggest value in 0, -3, b, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182710*g**3 - 387334?\nAnswer: 548130*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 10450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3115 = 16*c - 9*c. Suppose s - 485 = -5*x - 2*s, 5*x = 5*s + c. Does 47 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -280528.81 to the nearest one thousand.\nAnswer: -281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 24718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-72))\/((-2)\/8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -13 + 0*u**2 + 2\/3*u**3 + 0*u. Let x(z) = 8*z. Determine i(x(p)).\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4394, -18153, -41086, -73193?\nAnswer: -114474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 309046.3l?\nAnswer: 309046300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = 3. Is 1\/(-2) + ((-865)\/(-10) - m) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1. Let p(c) = c + 8. Let h(m) = p(m) + 5*u(m). Let n be h(-4). Let j = n + 4. Solve -v + j*v = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f = 14*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 312?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*45\/189*1337*(-2)\/5. What is the highest common divisor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose 0*y + y + 3 = 0. Let j be 40\/18 - (-6)\/y. What is the smallest value in b, j, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171798 and 1463.\nAnswer: 1202586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405 = -660*t - 915 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159430 and 332770?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121774 is divided by 876.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.264 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 1 - 16. Let w be h\/(-12) + (-6)\/(-8). Let s = -106 + 1588\/15. Which is bigger: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 1.5867.\nAnswer: -1.8867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**0)**(-1))**(-8))**(4\/9))**(-1\/13) assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4*sqrt(2057))**2.\nAnswer: 32914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-462)\/(-44)*((-1200)\/(-70) - 16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 96*f - 73. Let d(p) = 326*p - 217. Let w(j) = 2*d(j) - 7*n(j). What is w(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 23340?\nAnswer: -1\/7780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 735 and 150?\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*b - 17*b - 15*b - 166*b as p + v*b and give v.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 52*k**2 - 395*k + 1046. Determine d(-42).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-2 - 5\/(-2))*(-640)\/96).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4.9. Let x = u + 0.1. Let m = -0.1005 - -1.1005. Sort x, 5, m.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**0*s*s))**(-1\/5))**(-1\/2) assuming s is positive.\nAnswer: s**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 60563.774 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1187 divided by -42307\nAnswer: -1187\/42307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -7*h**3 - 3*h**2 - 32. Find the second derivative of c(k) wrt k.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 90, 144, 198, 252, 306?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0*f**2 + 0*f**5 - 2*f + 0*f**4 + 0 + 1\/3*f**3 - 1\/15*f**6. Find the second derivative of y(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**6\/30 + 2*u**5\/5 + 5*u**4\/12 - 7*u**3\/3 + 364*u. Suppose g(r) = 0. What is r?\nAnswer: -7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698669 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -995 or -36798\/37?\nAnswer: -995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 17, -4 in ascending order.\nAnswer: -4, -1, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-6))\/(8\/(-12)). Suppose -c = 3*r + 10. Let g be (1\/(-3))\/(r\/24). Solve -k - k = 10, -u + 13 = -g*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 530 and (-6)\/((-3)\/(-3)) - (-481 + -2)?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -2*s - 16, s + g - 174 = -158. Solve -11 = -w - 2*h, -h = -2*w - 10 + s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + -7a2?\nAnswer: -7b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j + 8*j - 4*j in the form a + o*j and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.58 - 2.58. Let w = -0.04 + 3.04. What is the second biggest value in w, p, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -59817260.\nAnswer: -59817287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 546*f**2 + 8310*f + 1770. Calculate u(-15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 3\/2*u**4 - 3*u**5 - 3\/2*u**6 + 0*u**3 - 1 + 0*u + 0*u**2. Factor a(t).\nAnswer: -3*t**3*(t + 2)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15478780 to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.09 or -1904?\nAnswer: -1904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31322 + -6?\nAnswer: -31330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adcdndacyd. Give prob of picking 1 a, 1 d, 1 c, and 1 y.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -17*g**2 - 4*g + 7. Let l(u) = -8*u**2 - 5*u + 10. Let x(z) = z**2 + z - 2. Let q(a) = l(a) + 4*x(a). Give -2*k(v) + 9*q(v).\nAnswer: -2*v**2 - v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 3*i**4 - 2*i**4 + 3*i**4 - 5 + 5 + (0*i + 0*i + i)*(85*i**3 + 91*i**3 - 177*i**3).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/33624 and -77\/183.\nAnswer: 2051064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-103)\/309)\/(((-12)\/(-27))\/(-4)). What is the biggest value in 761, l, -0.1?\nAnswer: 761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5590?\nAnswer: 2, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37608\/2016 + 312\/26208?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9 + 4*k + 3 - 3*k. Let r be v(3). Is (8\/6)\/(r*(-2)\/108) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100165908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16001, -32043, -48079, -64109, -80133?\nAnswer: -96151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 64?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -683.275 to the nearest 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 4:03 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1))**4)**(1\/14)\/(q**(3\/7)*q*q**(2\/3)*((q\/((q*q**(-5))\/q))\/q)\/(q\/((((q\/q**(-3))\/q)\/q)\/q)*q)) assuming q is positive.\nAnswer: q**(-116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 4\/3 (b) -5 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -174145708.\nAnswer: -1\/174145708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 6. Let j be n(-5). Let i be 2\/9 - (-583)\/j. Suppose -2*c = -175 + i. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -218*v**6 + 4*v**3 - 749*v**2 - 3*v?\nAnswer: -26160*v**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2470409 plus -45?\nAnswer: -45.2470409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*c - 2*q, -q - 4 = 3*c + 2. Let l be (-2)\/c + (-34)\/(-1). Let m be (2 + (-72)\/l)*-5. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/1489 + -632813\/8934. Suppose -c + 50 = -21. Let o = c + a. Which is bigger: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 121 + 109 + -232?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/27 in -7, -3, -2\/3, -1\/4, -0.2, -1658.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 960189295*k**4*q**3 + 2*q**3 + 11*q**2 + 34*q - 174917 wrt k.\nAnswer: 3840757180*k**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(sqrt(245) + -1 + 3) + sqrt(245) + 0 + 5 + -4))**2.\nAnswer: 2646*sqrt(5) + 20286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 7. Solve 4*i = 13 - p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**2 + 6*r**2 + 2*r**2 - 4*r**2 - r + 12*r**3 to u*r + b*r**2 + n + g*r**3 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/39)\/(d*d**(-42)))\/(d\/((d*d**(-9)*d*d*d)\/d))**12 assuming d is positive.\nAnswer: d**(-1678\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (-1 + 4))\/(-1). Suppose 11*f + 4328411 + 333371589 = p. What is f rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -1 (c) -4\/3 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1323 = -13*f. Let m = f - -214. Let c = 579 - m. List the prime factors of c.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 72867904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.38754*-386.\nAnswer: -149.59044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 2*f + 12083 = 28*i, -5*f = 2*i - 24162. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13832\/(-1862))\/((-2)\/(-7)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1469 + -1474. Which is the third biggest value? (a) -2 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001212100 (base 3) to base 10.\nAnswer: 178506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -43454?\nAnswer: 43450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -3*i**2 + 197 + 31\/3*i**3 + 8*i. What is the second derivative of p(j) wrt j?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1568*v**2. Let a(y) = y**2. What is a(h(d))?\nAnswer: 2458624*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 970687087 less than -0.0323?\nAnswer: -970687087.0323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 1599944. Let t be d - (1 + (2 - 2)). Suppose 2*i + t = 5*c, i - 5*c = 2*i + 200015. What is i rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 740*l**2 + 0*l + 1546*l**2 - 7*l + 7*l.\nAnswer: 2286*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -30*y + 322. Solve -9*r + y*r - 4*i = 8, -6 = 5*r + 3*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b - 1289 = -4*j - 36*b, -5*j + 1610 = -4*b. Calculate the remainder when j is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.3 times -0.014\nAnswer: -0.4102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -17514642 less than -17514636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2 - p + 1. Let q(w) be the second derivative of w**4\/12 + w**3\/6 + 4*w. Let r(k) = q(k) + z(k). Find the first derivative of r(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8498 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -160489 take away -36072?\nAnswer: -124417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}