diff --git "a/data/dm_maths/full_data_1/1147_11255.jsonl" "b/data/dm_maths/full_data_1/1147_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1147_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Put 0.1, -1, -20, -0.7, -5 in decreasing order.\nAnswer: 0.1, -0.7, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - g - 3 - 2*g**3 - 4 as x*g**3 + n*g**2 + k*g + p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + a + 1. Let x be m(-2). Let u = -11 + x. Suppose 3*l - 46 = -l - 5*g, -26 = -u*l + 5*g. Solve 3*q + n - 17 + 4 = 0, q = 2*n + l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2101\/18 + 237\/2. Let j = 4 - 1. Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7 = -13. Let u(w) = 306251*w**2 - 3*w - 4. Let r be u(y). Round r to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/4) + (44 - 46)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-4\/7))\/(f*f**(-13))*f**(-6\/11)\/f*f*f*f**(2\/17) assuming f is positive.\nAnswer: f**(19823\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = o - 21*o + 307272. Does 28 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66740 - -173739. Suppose -h = -2*h - 5*d - 106995, -d = h + x. Round h to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2456? (a) -2\/15 (b) -4\/3 (c) 0.01 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 332488, 332473, 332432, 332353, 332224, 332033?\n\"Answer: -2*o**3 - o**2 + 2*o + 332489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**2 - 326 + 164 + 162.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35117 + 66341. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13365 and 693.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 47*l**2 - 4*l + 198. Let i be r(47). Let z(g) = 16*g - 123. What is the units digit of z(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 j when three letters picked without replacement from iiiiijiiijjjijjj.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -32800000 to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7*-4257457\nAnswer: 29802199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.1. Let h = 0.07 - m. Let j be (2 + (-640)\/72 - -7) + 11\/(-18). Which is the nearest to 0? (a) 3 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.9, 0.1, 0.033, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 296*m**2 + 5*m - 1. Let f = -59 - -31. Let r = f + 30. Is p(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z**(-1\/11)\/z)\/z)\/z)\/z*(z**(4\/3)\/z*z)\/z)\/(z**(-2\/9)\/z**6)*(z**(-3\/10)*(z**(3\/4)\/z)\/z)**(5\/3) assuming z is positive.\nAnswer: z**(349\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t - 26. Let r be a(3). Find the common denominator of 25\/24 and (65\/30 + r)\/((-50)\/9).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-924)*-14*3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 86 = 79 - 69. Let n(d) be the first derivative of 5*d**b + 0*d - 3\/5*d**5 + 2 + 0*d**3 + 0*d**4. Find the second derivative of n(i) wrt i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/(-300))\/(2\/155) + -4 and 73\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**3 - 129*o**3 - 172*o**3.\nAnswer: -281*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - (-5)\/(-15)*-22. Let a(k) = k**2 - 5*k + 1. Let r be a(5). Let o be -1*0\/r*1. Solve -4*l + 5 + p = o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -3, 0, 1 in descending order.\nAnswer: 1, 0, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/(2\/12). What is the units digit of 79\/j - (-4)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w**5*z - 9*w**4*z**2 + 64*w**3 + 3*w**2*z**2 - 38*w**2 - 2*z**2 wrt w?\nAnswer: -60*w**2*z - 216*w*z**2 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j + 8. Let t be 6 - 2\/(4 - 3). Suppose 31 + t = -5*h. Let m(q) = 5*q + 12. Let v(n) = h*x(n) + 5*m(n). What is the first derivative of v(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 842271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(2*v + 4 - 4) - 335 + 23*v + 335 in the form o*v + d and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*x**3 - 65*x**2 + 65*x**2 - 106*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/88 + (-1450)\/(-132) and -32\/13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18239394 + 170*k - 18239394.\nAnswer: 170*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:51 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.47376mg to nanograms.\nAnswer: 57473760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - 0) + -1)\/(-2). Suppose v*a = a - 1. What is the lowest common multiple of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9789562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/98851080 and 14\/37069155.\nAnswer: 296553240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -7. Sort c, 5, 11 in ascending order.\nAnswer: c, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i + 4*t - 52, 5*t + 47 = 2*i. Suppose i = -3*k + 7*k. Solve 1 = 4*q - 3, 18 = -k*m - 2*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3244215 by 393.\nAnswer: 8255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 10*d**2 + 4*d. Let a(n) = 25 + 34 - n**2 + 14*n - 60 - 15*n. Calculate -2*a(q) - c(q).\nAnswer: -8*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.6731l in millilitres?\nAnswer: 234673.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) -3 (c) -0.49 (d) -99 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/27 + (-32)\/3. Let m(i) = -i + 13. What is the remainder when 137 is divided by m(k)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1\/27 (c) 7522 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3723*c - 569. What are the prime factors of d(4)?\nAnswer: 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -10204?\nAnswer: -10213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 5 = 6*x + 5*d, -x - 4*d = -13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11219 - 82*j - 3753 - 3745 - 3721.\nAnswer: -82*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 10*o - 7. Let l = 12 + -23. Let t be y(l). Solve -2 = -v - 4, 2*c + t*v = -18 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 12. Let g(u) = -2*u. What is h(g(d))?\nAnswer: -4*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36119\/7 - -5140. Suppose 0 = -3*w + 5*u - 42 - 0, -4*u + 83 = -5*w. Do w and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -172207, 17, -1 in ascending order.\nAnswer: -172207, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.4 - -9.2. What is the biggest value in 0.4, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*t - 1012 = -43*t. Does 46 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*q**2*x**3 + 583521*q**2*x + 44*q*x**3 - 12852*q*x + 2*q - 6*x**2 + 2 wrt q?\nAnswer: -62*x**3 + 1167042*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(sqrt(175) + sqrt(175) + 1)**2 + (0 + sqrt(1008))*4.\nAnswer: 68*sqrt(7) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0\/(b**(-15)\/b)*(b\/((b*b**(-5))\/b))\/b**(-1\/21) assuming b is positive.\nAnswer: b**(463\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 2171.\nAnswer: 1519.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 993707371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 - 20 = 5*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.28 (b) -49 (c) -9.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**5\/120 - f**4\/24 + 5*f**3\/3 - 2. Let n(y) be the third derivative of o(y). Determine n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 122*f. Let b(q) = 16*q - 2. Determine b(h(r)).\nAnswer: 1952*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i**3 - 3*i**2 - 5*i - 22. Let o(t) = -17*t**3 - 8*t**2 - 14*t - 45. Determine -5*j(b) + 2*o(b).\nAnswer: b**3 - b**2 - 3*b + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*u**3 + 484*u**3 + 2301*u**3.\nAnswer: 3139*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 163754, 163756, 163758?\n\"Answer: 2*j + 163752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 493 - 333. Calculate the highest common divisor of 32 and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.37 + 7.7.\nAnswer: 5.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 38236 and 0.5.\nAnswer: 38236.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 757567.699991 + -757567. Let k = c - 0.7. Round k to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xccfccrcxxcrrrfrf. What is prob of sequence fxrf?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*12\/4)\/((-12525)\/(-58450))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2817*o - 168 = -2793*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and 11.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -5*n**7\/42 + 7*n**6\/24 - n**5\/15 - 3*n**4 + 23*n**2 - 13. What is the third derivative of s(x) wrt x?\nAnswer: -600*x + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 8\/5, -5, 3, -4\/5, -3, 0.431?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2450.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:50 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 28 = -3*h. Let m be (-330)\/(-77) + (-1 - h). Which is greater: 1\/8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1008 and -9131?\nAnswer: 10139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -6, 3, -3\/11, 0.3, 22424?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -87759595.5 and 24.1704.\nAnswer: -87759571.3296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -83904.\nAnswer: -1\/20976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 2 (b) -202 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -641 - -642. Let t = 6 + -6.1. What is the closest to i in 0, -9, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 503 - -19117. List the prime factors of h.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 16*d + 9*d + 3*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**2\/2 - s + 3. Let o be w(-4). Let g(y) = 7*y**2 - y + 3. Is g(o) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 47 + 43 = -3*y, 0 = -4*y - 9*k + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45591, 182264, 410005, 728814, 1138691, 1639636, 2231649?\nAnswer: 2914730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 i, and 1 y when four letters picked without replacement from lyliyiliylyylliyvlly.\nAnswer: 112\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/216 and -17\/36.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.34 - -9?\nAnswer: 181.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 30*r**3 - 493*r**2 + 52*r + 2234. Let p(f) = -10*f**3 + 164*f**2 - 16*f - 745. Let s(u) = 13*p(u) + 4*w(u). Find the first derivative of s(b) wrt b.\nAnswer: -30*b**2 + 320*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -175*b**2 - 49*b - 49. Let w(u) = 22*u**2 + 6*u + 6. Determine 6*m(o) + 49*w(o).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1340323, -5361319, -12062969, -21445267, -33508207, -48251783, -65675989, -85780819?\n\"Answer: c**3 - 1340333*c**2 - 4*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 - 0.55. What is the closest to -1\/2 in -5, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000 divided by -125?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1466852 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6331 - 6291. Which is the smallest value? (a) g (b) 2 (c) 2\/3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/9 - 32*g**4\/3 + 2201*g**3\/9 + 5186*g**2\/9 - 980*g - 19208\/9 = 0. Calculate g.\nAnswer: -2, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22624 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - b = 6 - 19, 0 = -4*o + b + 8. Find the second derivative of 8*v**5 + 12*v**5 - 21*v**5 - o*v wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 27683089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5426119.374 to the nearest one thousand.\nAnswer: -5426000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*c*g**4 + 60*c*g**2 + 20727759*c*g + 300*g**4 wrt g?\nAnswer: 768*c*g**2 + 120*c + 3600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 4:22 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 32. Let g be c(-16). Let d(t) be the third derivative of 0*t**4 + 0 + g*t - 1\/60*t**5 + 0*t**3 - 2*t**2. Let q(m) = 6*m**2. What is q(d(x))?\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + 38\/30. Suppose 0 = -4*s + 11*s - 826. Let w = s + -121. What is the smallest value in w, 0, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 79*a + 1332 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112192 times 0.08?\nAnswer: 8975.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjjjjjjjjjjjjr.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 116.6.\nAnswer: 112.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/49)\/(-50 + (-16054)\/(-322)). Let r be ((-1)\/(-36))\/((-1)\/2). Put p, 1, r in ascending order.\nAnswer: r, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*b)*(-b**2 + 2*b - 2*b) - 84226 + 84226 + 64*b**3 + 36*b.\nAnswer: 62*b**3 + 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1.9 (b) -2 (c) -4\/9 (d) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 179759840.\nAnswer: 539279520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**4\/3 - 196*m**3\/3 + 34660*m**2\/3 + 69892*m\/3 + 11680 = 0.\nAnswer: -120, -1, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1493687858193087 + 1493687868559015.88499929. Let j = s - 10365929. Let o = j + 0.115. Round o to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7091 = -4*x + 770, 5874 = 3*x - 5*f. Let t(s) = -21*s**2 + 0*s + 1963 - x - 124*s**2 - s. Let n(w) = 2*w**2. Give n(t(m)).\nAnswer: 42050*m**4 + 580*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3\/8 (c) 0.4 (d) 89 (e) -3.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-182) + (-3 - 4*(-148)\/(-336)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282753696 minus -0.2?\nAnswer: -282753695.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 9*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18970189*w + 18970050*w + 5143 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 202661820 to the nearest ten thousand.\nAnswer: 202660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -691, -697, -719, -763, -835, -941?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 6*y + 17 = 5*b, 4*y + 10 = 2*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -2465, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50211179 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**2*w**2 - 62*r*w**2*y**2 - w**2*y - 118*y**2 wrt r?\nAnswer: -2*r*w**2 - 62*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2*50\/(-20))\/((-17)\/(2720\/10))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*h**4 - 157*h wrt h?\nAnswer: -1800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2357.6554 rounded to 0 dps?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 3:57 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a century in decades?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -924, -807, -676, -531, -372, -199?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-10))\/((-474)\/(-1975)*80\/(-12))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.05157 - 10.\nAnswer: -14.05157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6479 (b) -1\/9 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(63))*-6 + sqrt(315)\/sqrt(5) + 1)**2*-1 + 0)*-3.\nAnswer: -1170*sqrt(7) + 5232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 18. Let h(k) be the first derivative of -k**2 - 95. What is c(h(o))?\nAnswer: -4*o - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 8729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 115917433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**4\/24 + i**3\/3 + i**2. Let r be z(-3). Factor -m**3 - r*m**3 - m**4 + 4*m**3.\nAnswer: -m**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, and 2 x when four letters picked without replacement from vsfxsxgfffsxsmf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176 = -103*m + 5*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - a**4 + 1)*(a + 0*a + 0*a) + (6*a**3 - 9*a**3 - 8*a**2 + a**3)*(-a**2 - 7*a**2 + 0*a**2).\nAnswer: 15*a**5 + 64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 21*y**2 + 22*y - 5. Let f = -201 - -221. Does 11 divide c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5135.32 rounded to the nearest ten?\nAnswer: -5140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000011000111 - -101000?\nAnswer: -10101000010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2277145 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -837432.1*-3.\nAnswer: 2512296.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6569230501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 25 - 142 = -56*f. Let k be 16 - 5\/((-10)\/(-4)). What is the lowest common multiple of f and (-4)\/14 + 88\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16951117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = m + 1, 2*m + 4 = -2*o + 3*o. Let y = 13 + o. Is 24\/132 + 2847\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/3))**(-45)\/(c**(3\/5)\/(c\/c**(-2\/11))))**(-35))**(2\/65) assuming c is positive.\nAnswer: c**(22652\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdcdddq. Give prob of sequence ddd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500203.\nAnswer: 11, 37, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3182074?\nAnswer: 2, 7, 37, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/((-3)\/6)*3. Let o = 39 + d. Calculate the remainder when o is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 17*x + 52. Let w(y) = -13*y - 55. Determine -2*d(g) - 3*w(g).\nAnswer: 5*g + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:25 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5180033 divided by 124\nAnswer: -5180033\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 5 (b) 52 (c) 1\/3 (d) -5\/6 (e) 0.197 (f) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*(3 - (-39)\/(-15)). Let a(s) = s**2 - 3*s**3 + 2 + 8*s**3 + 0*s**3 - l*s**3 - 3*s. Give a(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2 - 894*v + 1596. Determine s(177).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 7*s - 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1*(-3)\/9). Suppose y*a + 20 = -a. Let k(g) = g**3 + 4*g**2 - 6*g. Let m be k(a). Solve 3 = -3*d, 0 = o - m*d + 1 - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 + 8. Let d(j) = -68 - 65 - 5*j + b. Calculate d(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39458 - -2?\nAnswer: -39456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/(-12))\/((-1)\/2). Suppose s + 2*s = l. Solve -8 = -7*q + s*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011100 (base 2) in base 15?\nAnswer: -ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -20*d - 130. Let s(u) = -9*u. Determine s(y(v)).\nAnswer: 180*v + 1170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -3\/8 (c) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3089, 2934, 2675, 2312, 1845, 1274?\n\"Answer: -52*r**2 + r + 3140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*3*-2*-4.\nAnswer: 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 0 = 5*y. Let u be (4\/y + 0)*-30. Let n = u + 44. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 802218 and 372.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6692 + -4659. What are the prime factors of p?\nAnswer: 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87600*d*j**3 - 440*d*j - 12*d - 5 wrt j?\nAnswer: -525600*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2996472 weeks in minutes?\nAnswer: 3020.443776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a day in minutes?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 736 = 11*b - 15*b. Let h = b + 184. Find c, given that 1\/5 - 3\/5*c**2 + 2\/5*c**3 + h*c = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3302 and -0.1.\nAnswer: 3301.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7324, -14680, -22034, -29386, -36736, -44084, -51430?\nAnswer: -58774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 1295 = -2*h + 6233, -4*o + 16 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 227\nAnswer: 4\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0)\/(-2) + 0. Suppose 5*o + 4*t = -0*t + 20, 0 = -2*o + t - 5. Let q = o - i. Solve -1 = -n - q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(108)*-4*-4 + 5)**2.\nAnswer: 1920*sqrt(3) + 27748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -36\/7, 2, -2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3*b + 2. Suppose 2*r - 2 = 4. Let g be i(r). Let n(k) = -g*k**2 - 2*k**2 + 2*k**2. Let m(f) = -2*f. Give n(m(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*j**2*y**2 - 3*j**2*y + 4*j*y - 56*y**2 wrt j.\nAnswer: 168*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2616 and 18049964.\nAnswer: 108299784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-145)\/45 - (-124)\/(-45). Let m = -67\/30 - f. What is the nearest to 1 in 2, 2\/5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.324 - 3.024. Which is the biggest value? (a) -1\/14 (b) -6 (c) s (d) 2 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -845, -1705, -2573, -3449, -4333, -5225, -6125?\nAnswer: -7033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**2 + 5*v - 17. Calculate the remainder when f(4) is divided by 33.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*t = 24, -6*u + 51*t = 50*t + 26 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80.7 - 2.7. Let t = s - 73. Which is the third biggest value? (a) t (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -146*p**2. Let g(f) = -18*f**2 - 11*f**2 - 14*f**2 + 42*f**2. What is d(g(j))?\nAnswer: -146*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 6*g**2 + 5*g + 15. Let k be l(7). Let t(i) = -2*i. Let v be t(k). Let d be (-2)\/(-12)*(-8 + 0). Sort d, 2, v in ascending order.\nAnswer: v, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*(m\/m**(-3\/10))\/m)\/(m**(-2)\/m)**47 assuming m is positive.\nAnswer: m**(1363\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 4*d**2 + 2*d + 30. Let u be w(6). Let r(t) = 3*t**2 + 3*t - 12. Let x be r(4). Suppose -6*m = x + 132. Do m and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2 = 5*t, -3*y - y - 12 = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 + 4*z - 3. Let c be h(-3). Suppose -k + 6 = -m - m, 0 = c*k - 5*m - 17. Solve 5*a - 3 - 7 = 0, g + k*a - 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + j**3 - 431*j + 862*j - 9 - 6*j**4 - 436*j + 16 + 37 as z*j**3 + k + a*j**2 + v*j**4 + u*j and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**14)*g**(-6)*g)\/(g**7*g*g**(1\/6)) assuming g is positive.\nAnswer: g**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -567, -4, -5, -102 in increasing order.\nAnswer: -567, -102, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 72. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 226 + 28)*(w**2 - w**2 + w**2) in the form d*w**2 + f*w + b and give d.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 7*s - 471. Let j = s + -56. Let c(h) = 3*h**2 - h - 3. Let b(p) = -4*p**2 + p + 4. Give j*b(d) - 5*c(d).\nAnswer: d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-34)\/(-1)*(-4 - -5) - -1 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 858776 and 12?\nAnswer: 2576328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1961 + -0.3061. Which is the second biggest value? (a) h (b) 0.3 (c) 1 (d) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 8}. What is prob of picking 3 s?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31967.59 millilitres to litres.\nAnswer: 31.96759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3795 millilitres to litres.\nAnswer: 0.0003795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 280750.2ml in litres?\nAnswer: 280.7502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((738\/6396)\/(8\/(-16)*3))\/(1\/3).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*c + 105765, -896*c = -4*t - 895*c + 141020. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 56*s**5 + 901*s**4 + 2580*s**3 - 8092*s**2 + 2080*s = 0?\nAnswer: -10, -8, 0, 2\/7, 13\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhdhd. Give prob of sequence hd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:33 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 396885400 to the nearest 1000000.\nAnswer: 397000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kxxx when four letters picked without replacement from xxkxxkk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 15*n**2 + 18*n - 36. Suppose o - 15 = -x, 3*x = -2*o + 30 - 1. Let p be d(o). Let w be (p\/2 - -3)\/(6\/186). Is 30 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 4*z**2 - 4*z + 4. Let c(l) be the first derivative of l**3 - 3*l**2\/2 + 3*l + 8. Give 4*c(g) - 3*n(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/672609964 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 602 and 10.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1073593, 1073592, 1073599, 1073614?\nAnswer: 1073637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(4)\/sqrt(2)) - sqrt(15)\/(sqrt(3)*2 + sqrt(3))) + 5.\nAnswer: 2*sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q**3 + 2*q**2 + 2*q + 1. Suppose -d + 0*d - k = -1, 4*d - k - 29 = 0. Suppose 3*h + d = -3*a, 1 = -3*h + 4*h + 4*a. Is x(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c**5 - 2612*c**4 + 111668*c**3 - 1467788*c**2 - 4383592*c + 13786144 = 0. Calculate c.\nAnswer: -4, 2, 43, 233\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10587 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -563 + 577. Suppose -41496 = -t*y - 12*y. Does 57 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = k - 0*v - 2*v, 9 = -3*v. Suppose k = -4*w + 9*w. Let -62*o + 36*o**2 + 14*o**3 + 8 + 4*o**4 + 6*o**w + 90*o = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10851, -10349, -9847, -9345, -8843, -8341?\n\"Answer: 502*u - 11353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 2 + 6*b**2 + 18*b**2.\nAnswer: 15*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, c: 6, r: 4}. Give prob of picking 3 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3 - (-31)\/11). Let l = x + 32. Suppose h + 6 - l = 0. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 4*u - 4. Suppose -2*n = -7*n - 25. Suppose 31*w + 258 = 18 + 2 + 52. Let b(y) = -3*y**2 + 5*y + 5. Determine n*b(t) + w*d(t).\nAnswer: 3*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 8*n - 9. Let f be u(6). Let y(s) = -2*s - 10. Let g be y(-6). Suppose 30*r - 39 + 9 = 0. Put f, g, r in ascending order.\nAnswer: r, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**3\/6 + 5*g**2 - g. Suppose -5*p + 9*p = 0. What are the prime factors of l(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/20 + 31*h**2 - 98*h. Let w(a) be the first derivative of j(a). Let l(x) = -70*x**2. Determine l(w(n)).\nAnswer: -630*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 8560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:17 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 >= 2\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2 (b) 0 (c) 0.349 (d) 0.7 (e) 0.012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -260898 divided by -17?\nAnswer: 260898\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2188*s + 126*s**2 + 2193*s - 118*s**2.\nAnswer: 8*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 4*v**2 - 142 + 0*v**2 + 70.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51662\/(-11922)*30\/(-2795).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -47*u + 12. Let r(o) = 3*o. Let j(v) = -q(v) - 5*r(v). What are the prime factors of j(3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 235, 4\/7, 0.9, -2, -75.\nAnswer: -75, -2, 4\/7, 0.9, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*1 + sqrt(66))*-6 + sqrt(66) + -1*sqrt(66)*4)\/(6*sqrt(216)*-3*-6).\nAnswer: -5*sqrt(11)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 4, -7, -867, -14, 7 in ascending order.\nAnswer: -867, -14, -7, -2, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 5 + 0*m - m)*(42 + 2 + 101).\nAnswer: 435*m + 725","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n - 38*n + 19 = -3*c, -n = 4*c - 5 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asg when three letters picked without replacement from {j: 1, u: 1, a: 1, s: 2, g: 1, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**3 - 29*y**2 + 262*y - 2700. Determine b(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 760490339 to the power of 1\/4, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -101, -108, -115?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 1 - 4*v + 6*v)*(16*v**2 + 20*v**2 - 2*v**2 + (1 + 2*v - 1)*(v - 4*v - 7*v) - 4*v**2 + 3*v**2 - v**2) - 4 + 0*v**3 + 4*v**3 + 5.\nAnswer: 28*v**3 - 12*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9745*b**3 - 1760*b**2 + 14*b + 42. Let y(n) = -1949*n**3 + 352*n**2 - 3*n - 9. Let x(v) = 3*q(v) + 14*y(v). Find the third derivative of x(l) wrt l.\nAnswer: 11694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -131\/49, 4833?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -4*h**3 + 39*h**2\/2 - 9*h - 14. Factor d(l).\nAnswer: -3*(l - 3)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4586654, 4586656, 4586658, 4586660, 4586662?\nAnswer: 4586664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 21. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -679*v**3 + 5*v**2 - v - 12. Let i(r) = -2038*r**3 + 14*r**2 - 3*r - 34. Calculate 17*c(d) - 6*i(d).\nAnswer: 685*d**3 + d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.8802232 rounded to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174\/18 - 4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/26 + (-36)\/(-1287). Let w be 9\/(-12) + (-505)\/(-8). Let y = w + -62. What is the third biggest value in -3\/5, z, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/2*68\/(-6). Let o = x - -13. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -26*i. Suppose 11*a + 235 + 909 = i. Which is smaller: -107 or a?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*0*2\/4. Suppose -h - 2*k = -3*h - 38, 3*h + k + 45 = n. Let j = 22 + h. Calculate the least common multiple of 16 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3241163 (base 8) to base 6.\nAnswer: 30343015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3425*c + 56830 - 56830.\nAnswer: 3425*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 - (7 + -3 + -5 + 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a + 92. Let t be s(-5). Solve t = 5*b + k, -k = -b - 0*k + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -1\/6, 5, -0.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1879*r**2 - 2*r - 36 - 4*r + 6*r - 3*r.\nAnswer: -1879*r**2 - 3*r - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {k: 1, a: 1, m: 1, h: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 8:38 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0510644127 rounded to three dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -4, -20 in increasing order.\nAnswer: -20, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 854? (a) 1\/2 (b) 1 (c) 0.1 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -23*s**7\/42 + 25*s**4\/12 + 16*s - 23. Let k(l) be the first derivative of b(l). What is the third derivative of k(q) wrt q?\nAnswer: -1380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/15*5 - 1\/3. Let p be (-221)\/(-65) - (-12)\/(-30). Factor -j*g**2 - 1\/3*g**p + 0 + g.\nAnswer: -g*(g - 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 - 0 - (2 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -43*r - 727. Let w be o(-16). Put -1, -2, -6, w, -4 in increasing order.\nAnswer: w, -6, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39718239751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 4*f. Let t(r) = 25 - 29 + r**2 + 5 - 3*r. Suppose l - 1 + 2 = -2*a, a + 11 = l. Let p(b) = l*t(b) - 6*m(b). Calculate p(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6\/23, 3, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169342\/10444 - 9\/42?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -0.2, -2, 0.4, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 6*z**2 + 3*z + 6. Let p be r(-3). Let b be ((-2)\/1)\/2 - -8. Let m(t) = 0 + b - 3 + 2*t. Give m(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 16*m**2 - 20*m + 23. Let l(n) = n**3 - 16*n**2 + 19*n - 22. Let j(f) = 3*a(f) + 4*l(f). Calculate j(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -15. Let x(y) = -5*y + 1. Let i be x(b). Calculate the greatest common divisor of 44 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130 - -1 - (160 + -165)) + 99 + -76.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84153222 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by -2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 1:53 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23900 + 38961. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -85, -170, -281, -418, -581, -770?\n\"Answer: -13*t**2 - 20*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 377*k**2 + 11676*k - 212. What is s(34)?\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 4)\/(1\/(-1)). Suppose 3*a = 5*b - 4*b - 3, -4*a = -t*b + 14. Let n = 2 + b. Which is smaller: n or 9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -3, -2*g + 15 = -x + 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -37629 (base 10) to base 6\nAnswer: -450113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 divided by 518?\nAnswer: -391\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 2. Let t = -4104 - -4109. What is the smallest value in 1, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688937 to the power of 1\/2, to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 223*b**2 + 60*b + 304. Is i(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 4. Let c be l(-2). Is -16 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2862.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*x - 709, 5*u - 3*u - 282 = -2*x. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 170\/3?\nAnswer: 170\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkvvvkvvkvvdddvvvd. Give prob of picking 2 d and 1 k.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 8*i**2 - 10*i + 17. Let n be s(-8). Suppose b = 2*x + 43 + n, -5*b + 5*x + 695 = 0. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {g: 1, d: 3, e: 2, r: 1, t: 3}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 56 = -12. Let w = 9 - l. Let k = w - -11. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.288172mg in kilograms?\nAnswer: 0.000007288172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 27*s**3 - 4*s**2 - 8*s - 1. Give v(4).\nAnswer: 1631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29\/4 (b) -1 (c) 1831.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/41, 0.1, 0.8, 4, -2\/39 in descending order.\nAnswer: 4, 0.8, 5\/41, 0.1, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9018707 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 13. Let p(c) = -449*c + 476. Let l(r) = 3*k(r) + p(r). What is the first derivative of l(m) wrt m?\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 19*q**3 - 313*q**2 + 321*q**2 - 4*q + 3 + 12*q**3. Is f(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p - 1. Give k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 2*z + 5. Let u(h) = h**3 + 14*h**2 + 40*h - 3. Let k be u(-10). Let w(i) = 9*i**2 - 4*i - 11. Give k*w(b) - 7*c(b).\nAnswer: b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(27) - -1*sqrt(3)*-1.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 38818212 divided by -343524\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4549*p + 12 + 11 - 21 - 2 to a + u*p and give u.\nAnswer: -4549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 347 or 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 1983*u**2 + 1983*u**2 + u - 7*u**3 + 5 in the form r*u**2 + k + q*u**3 + y*u and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -60*m - 50*m - 20 + 160*m - 65*m. Let x(r) = -5*r - 7. Let u = 29 + -23. Give u*g(o) - 17*x(o).\nAnswer: -5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60434922 is divided by 138295?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 58. Let o be i(23). What is the third derivative of -36*s**3 - 3*s**3 - o*s**3 + 46*s**2 + 67*s**2 wrt s?\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -107.8.\nAnswer: -3988.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 75656*l**2 - 34300604*l.\nAnswer: 4*l*(l - 19357)*(l + 443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1306 = -9*s - 478. Suppose -17 = -5*d + 8. Suppose 0 = d*m - s - 58. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (6 - (5 - 20))) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42599027.\nAnswer: 1699, 25073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by -3.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 10. Suppose -s = 3*o - 4*z, o + 9 = 3*z - 0*z. Which is the third biggest value? (a) o (b) 0.11 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 668b (base 13) to base 3\nAnswer: 201122001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 59*g + 324. Calculate m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 333033 + 4*v - 8*v - 333033.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2119.2 + 2119. Which is the biggest value? (a) w (b) -5 (c) -0.18 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*160\/16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196111793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 2*l**3 - 2*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1008 - 18*p**2 + 512*p - 46*p - 23*p**2 + 158*p - 11*p**2 - 4*p**3.\nAnswer: -4*(p - 6)*(p - 2)*(p + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**3 - 5*f**2 + 21*f + 20. Let t(r) = 14*r**3 + 15*r**2 - 62*r - 59. Let m(y) = -17*o(y) - 6*t(y). List the prime factors of m(7).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3982*k**3\/17 + 67696*k**2\/17 - 63746*k\/17 + 32\/17 = 0 for k.\nAnswer: 1\/1991, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -713 (base 11) to base 13.\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -1\/120*f**6 + 2*f**2 - 1\/12*f**5 + 0 + 0*f - 1\/6*f**3 + 1\/12*f**4. What is q(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2168 and 816?\nAnswer: 221136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 87 = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3 (c) -2540849\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88389 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39395\/8 + -4931. Find the common denominator of 2\/(-14) - 213\/(-168) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59724*a**2 - 7935*a**2 - 13*a + 8*a + 7*a.\nAnswer: -67659*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16944\/(-45) + 2\/3. Let l = p + 376. Is 1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 3*p - 2*p**2)*(31773 - 52035 - 61222 - 6528) in the form a*p**2 + r*p + c and give a.\nAnswer: 176024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = -4*v, 8 = 2*n + v + 10. Suppose n = 39*m - 28*m - 22. Solve -6*a**4 + a**2 - 3*a + 636*a**5 + 4*a**m + a**2 - 633*a**5 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32922)\/(-124)*(-12)\/18)\/((-8)\/(-16)*-3)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*c + 59*c + 1 - 3 in the form n + g*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258822*y - 518 = 258808*y for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.1 + 9. Let a = n + 1. Let v = a + 0. What is the smallest value in -1\/12, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = 0, 5*h - h = 3*j + 24. Suppose 24 = h*z - 45. Calculate the remainder when z is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.56 and 0.28.\nAnswer: 2.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20587979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -2603?\nAnswer: 15\/2603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 44 = -5*w. Let c = w - -95. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - j**2 + 4*j**2 - 4*j**2 + 3*j**2.\nAnswer: 2*j**2 - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 43*-13111925\nAnswer: -563812775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + (sqrt(1539) - ((0 + sqrt(1539))*6)**2).\nAnswer: -55404 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 33, 68, 127, 216, 341, 508, 723?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 930839 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose 0 = -0*p + p - g. Suppose 3 = v - h, p*v - 5*v - 2*h + 6 = 0. Solve 3*f = -z + 8, -17 = -3*z - z + v*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -65. Calculate the highest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 591969528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2110201 (base 3) to base 13\nAnswer: -a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(500) + (sqrt(500)*-3 - sqrt(500)) + 0)**2 + 2*sqrt(60)\/(sqrt(588)*-3).\nAnswer: -2*sqrt(5)\/21 + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*s = 25*s + 136*s - 969615. Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83369422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 240\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*o + 321*o - 572*o = -138 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:23 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s, 4*s + 36 = -4*v - 0*s. Let m = 13 + v. Suppose 4*p = -g + 3*p + 4, 56 = m*g - 4*p. Calculate the remainder when 25 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1750136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - 10*p + 7. Let g be v(2). Suppose -k + 25 = 4*s, -g = 2*s - 3*k - 2. Put s, -7, -2 in decreasing order.\nAnswer: s, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 3 = -y. Let k be (-590)\/(-8)*y\/12. Let r = -48 - k. Which is bigger: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -248, -484, -702, -896, -1060, -1188, -1274?\n\"Answer: m**3 + 3*m**2 - 252*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-10 + -10) - 29.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6373, -7506, -8615, -9700, -10761, -11798?\n\"Answer: 12*y**2 - 1169*y - 5216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:53 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.092 + 104.692. Let h = s - 11.6. Which is bigger: h or -1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2057, 8306, 18743, 33368, 52181, 75182, 102371?\nAnswer: 133748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1212 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*y = 22, -2*n + 12 = 4*y - 2*y. Suppose 0 = 2*z + n + 2. Let h be (-105 - 0)\/z - -4. What is the greatest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 15. Which is bigger: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) + 2) - sqrt(637)) + 1)**2.\nAnswer: 14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 1\/60*n**5 + 2\/3*n**3 - 1\/6*n**4 - 13*n**2 - n + 0. Calculate t(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 59483.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**3 - 198*x**2 - 115*x + 169. What is l(50)?\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 119*j**2 - 57*j + 200. Let i be q(-60). What is the highest common divisor of i and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.1367807 tonnes?\nAnswer: 136.7807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1814690.08 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -69840 equal to -69838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53, -653, -1797, -3485, -5717, -8493, -11813?\n\"Answer: -272*n**2 + 216*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -9. Let b = 0.76 - 1.06. What is the third biggest value in b, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 199170 - 53577 = 0. Suppose -4*u - 30652 = -4*i, u - 4*u + d = 3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53.07679l?\nAnswer: 53076.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -121225453?\nAnswer: 121225445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257806970 is divided by 11779.\nAnswer: 11776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, s: 7, z: 5}. Give prob of sequence zzy.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 3*k - 10 - 19, 0 = -5*c - 333*k + 5390 - 8725 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0\/f)**(3\/37)*(f**(-2\/5)\/f*f)\/f**(-1) assuming f is positive.\nAnswer: f**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1823, 4334, 7613, 11660, 16475, 22058, 28409?\n\"Answer: 384*w**2 + 1359*w + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-16 + 5)) + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5464 by -8.\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 0.219 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -83175*-1\nAnswer: 83175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2341\/151 or -16?\nAnswer: -2341\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-26) + ((-28)\/(-26))\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = h. Sort -4, h, 0 in descending order.\nAnswer: 0, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 102\/13, 39?\nAnswer: 102\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242653606 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229137, 1832974, 6186249, 14663682, 28639993, 49489902, 78588129, 117309394?\nAnswer: 167028417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 104, 249, 454, 719?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 16, 2*k - 2 = 5*s + 1. Suppose 4*l - 3*t = -9 + s, -5*t = 4*l - 24. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 10:24 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1551 + 2?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 - 140?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 153.021 to the nearest integer.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 1. Let j(t) = 6*t + 3. Let b(r) = j(r) + 5*o(r). Let h(w) = -w**3 + 26*w**2 - 2*w + 22. Let d be h(26). Let x = -24 - d. Give b(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 2:50 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*218\/(-109).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - 7. Let y = u - -89. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*q + 22, 2*g + 2*q = -0*q + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -4768382?\nAnswer: -4768382.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + f + 6, f = -o - 0*f. Suppose v + 2*x + 7 = -o*v, -3*v + 18 = -3*x. Let s be (-1)\/(2 + v + -2). What is the closest to 0.1 in -2\/7, s, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 206 + -190. Let t be ((-1)\/(-20))\/(f\/(-96)). Which is the closest to t? (a) 0 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 290250?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -0.4, 0.2, -0.034?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 9) in base 11?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 11:19 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182216219 - 10.\nAnswer: -182216229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, q: 5, m: 5, o: 2, l: 3}. What is prob of picking 1 a and 1 l?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (68\/51)\/((-2)\/(-12)). List the prime factors of (2 - z)\/(27\/(-198)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 39 = -d + 10, -2*d + 22 = 4*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1053\/98 or -12?\nAnswer: -1053\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10461\/5, 2\/17, -5.7, 1.\nAnswer: -10461\/5, -5.7, -5, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220272, -220284, -220296, -220308, -220320?\nAnswer: -220332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -26. What is the second derivative of j - 28 + 9*a**5 + 17*a wrt a?\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 85.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 979 = -33*p - 219. Let b(m) be the third derivative of -7*m**4\/24 + m**3\/3 + m**2. Let g be b(-4). What is the greatest common divisor of g and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-237)\/6*(-48)\/104*(-572)\/132\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 373014 and 391?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5))**(-3\/7)\/(l**13*(l\/(l**2*l))\/l) assuming l is positive.\nAnswer: l**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, 2\/9, -53, 0.107?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 = 22. Suppose -5 = -b*c + 43. Solve -6*s = -4*s - c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, l: 6, q: 4}. What is prob of picking 1 l and 1 q?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 57*w - 1. Let h(i) = 71*i. Let p(m) = 5*a(m) - 4*h(m). Calculate p(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724991.\nAnswer: 347, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -119241 and -6.8661?\nAnswer: 119234.1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 20*s + 67. Determine j(13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 14 + 18)*(0*a + 0*a - a) - 2 - 3*a + 2 in the form u*a + o and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4983 divided by 113?\nAnswer: -4983\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -57137712 divided by 282\nAnswer: -202616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**2 - 45*j - 44. Let f be w(-5). What is the greatest common factor of 208 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 24752547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) - 49\/(-35). Solve -5*u = -r + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 22. Suppose -i + 5 = g. Suppose 2*u + 12*u**2 - i - 19 + 45*u + 9*u = 0. Calculate u.\nAnswer: -5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -5 - ((0 - 32) + (10 - 5))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**4 + 1148*k**3 + 174680*k**2 = 0. Calculate k.\nAnswer: -110, 0, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 + 10. Let l be g(0). Let b = l + -19. Let h = b + 124. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -60, -34, -3.\nAnswer: -60, -34, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 29*a - 27876 = 0. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000646419 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 866, 1550, 2048, 2360, 2486?\n\"Answer: -93*j**2 + 963*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (44\/6)\/((-19)\/(-57)). Is 7278\/u + 4\/22 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 624 and 68484.\nAnswer: 273936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40101104 - -2?\nAnswer: -40101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(0 - 0\/(-1)). Let d = -9 + 9.38. Let q = d - 0.08. What is the nearest to v in 0, q, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.2. Let v = 5.1 - i. What is the nearest to -1\/4 in -0.4, 0.2, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -17*m**2 + 12*m - 9. Let h(a) = -8*a**2 + 6*a - 5. Let y(z) = 5*h(z) - 3*r(z). Let p be y(4). What is the greatest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44\/5 of a millennium?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-6)*z\/(z\/((z\/(z\/(z\/z**(3\/5))))\/z)))\/(z**(-5\/6)\/((z\/(z**4\/z*z*z))\/z)))**5 assuming z is positive.\nAnswer: z**(-293\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 338 - 79. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 47*v**2 - 624*v + 27. Calculate the remainder when t(58) is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21816.63ns?\nAnswer: 21.81663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**2)\/j**(-1\/4)*(j\/((j**5*j)\/j))\/(j**2*j*j) assuming j is positive.\nAnswer: j**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16208279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/7 - 12716*c**4\/7 + 12715*c**3\/7 = 0.\nAnswer: 0, 1, 12715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 83 = -3*n, -4*m = -m - 4*n + 116. Let w = 42 + m. Suppose -4*d - 3*j = -w*j - 8, 2*d + 4*j = 4. Is 2 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -362064.3?\nAnswer: 1448257.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - (-8 - (0 - 6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 3*n - 7. Suppose 0 = -4*q - v - 10, v + 18 = -4*q - 4*v. Let l be q + 7 - 0\/(-3). Is 3 a factor of o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2703 + 5028. Suppose 5*g - 727 = -2*f, -h = -5*f - 3*g - 479. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 951 by 5695.\nAnswer: 951\/5695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.641 + 12.681. Let d = 511.96 + z. Let o = 524.0000462 - d. Round o to 6 decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -2*n - d - 71, -d = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/60 + (-3)\/(-9))\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*r**4\/6 - 4119*r**3\/2 - 95638*r**2\/3 - 162750*r + 7448\/3 = 0. Calculate r.\nAnswer: -19, -14, 4\/263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 61 + -23.1\nAnswer: 37.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2121387493.\nAnswer: 251, 8451743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(h + 3 - 3) + 0*h + 5*h + h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83382 and 22449.\nAnswer: 583674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 0, -3, 28, -20, -8 in ascending order.\nAnswer: -20, -8, -3, 0, 2, 8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1700*p - 1694*p = 162 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7577\/56 + 269\/2. What is the common denominator of d and -47\/144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 339 and 29321127.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.8 + -13.3. Suppose 2 = 2*a + f + 2*f, -4*a - 8 = 3*f. Sort a, i, 9, 4.\nAnswer: a, i, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Let x = 1 - l. Let q = -0.25 - -3.25. Put x, q, -5 in descending order.\nAnswer: q, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*k, -13*t - 3*k = -9*t + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:34 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1592 and 140892?\nAnswer: 281784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504597*j + 3 + 162815*j - 2.\nAnswer: -341782*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 - -1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -1, -1\/2, 279, -12, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {s: 3, a: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)*h)**(-2\/45)*h**(1\/8)\/h*h*(h*h*h**(2\/11)*h)\/h assuming h is positive.\nAnswer: h**(6929\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**3\/6 - 4*u. Let t(b) = -2*b**2 - 10*b - 18. Let f(k) = -2*j(k) - t(k). Solve f(m) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.07 times 0.2?\nAnswer: 4.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -48. Let w(v) = -v**3 + 8*v**2 + 4. Let a be w(8). Suppose -a*i = -3*i - x. Calculate the highest common divisor of i and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -420, -626, -828, -1026, -1220?\nAnswer: -1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 1. Suppose 4*w - 2*w = -90. Let f = 67 + w. Let n = f - 18. What is k(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3459?\nAnswer: 3, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.383 - -9008.5105?\nAnswer: 9013.8935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 22*y**2 - 46*y + 19. Calculate b(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-10\/7)*m)\/((m\/m**(-1))\/m)*m**(1\/6)\/(m*(m*m**(-3))\/m) assuming m is positive.\nAnswer: m**(73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 2*h**2 + 2*h + 2. Let y be j(-2). Let k = 20 - 24. Which is the smallest value? (a) 1\/8 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2. Let b(z) = 6*z**2 - 4*z - 4. Let n(v) = 15*v - 4*v**2 - 21*v**2 - 5 + 20. Let m(q) = 15*b(q) + 4*n(q). What is m(t(j))?\nAnswer: -10*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22.1 and 23807083.\nAnswer: 23807060.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 56.991. Let g = -0.439 + h. Let t = g + 0.4. What is the second smallest value in 0, -2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 8*r - 3*r. Let c = 20 + r. Calculate the remainder when 22 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2*y + 1. Let f be v(-1). Let k = -1.2 + 1.16. Let r = -0.36 + k. Is r at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, y: 4, u: 3, x: 3, p: 1, m: 2}. Give prob of sequence gxp.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 3*n + 2*n**4 - 5 - 2 to u*n**3 + w*n**4 + g*n**2 + y*n + p and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -125, -101, -75, -47, -17, 15?\n\"Answer: v**2 + 21*v - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(2\/11))**18)**19)**(-6\/17) assuming b is positive.\nAnswer: b**(-18468\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12807?\nAnswer: 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -11, 1923, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203 + 203. Suppose z = 3*a - 2*f - 22, 7*f - 12*f = -3*a + 28. Let q(w) = 2*w - 4. What is q(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*a**3 - 490*a + 5\/2*a**4 - 1715\/2 + 315*a**2 = 0. What is a?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 8:06 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bccbc. Give prob of picking 3 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5*m - 5, 966*m - 971*m - 5 = 2*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45749\/410 + -1109\/10. Let x = -593 + 1145\/2. What is the common denominator of x and n?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 31. Solve 10 = 3*z + 2*f, f = 3*z - 2*z + a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*h + h**2 - 47*h + 22*h in the form a*h + b + q*h**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -19*x**4\/24 + 6*x**3 - 4*x**2 - 55*x. Determine u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.55973 days in milliseconds?\nAnswer: 739560672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -591\/5. What is the second biggest value in -5, 86, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/8 - 3\/(-12). Suppose -m*b + 47 = -43. Calculate the greatest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -20*t**5 + 40*t**4 + 20*t**3 - 35*t**2 - 5. Let k(j) = -j**5 + j**4 + j**3 - 1. Let r(n) = -g(n) + 25*k(n). Suppose r(m) = 0. Calculate m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**6\/210 + o**5\/70 - o**3\/21 - 3*o**2\/2 + 6. Let a(w) be the second derivative of r(w). Factor a(f).\nAnswer: 2*(f + 1)**2*(2*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 4\/((-4)\/3339). Suppose 0 = q + 17 - 12, 5776 = -3*z - 2*q. Let j = a - z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171)*1)\/((sqrt(108)\/sqrt(2))\/sqrt(6)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/3 - 47*h**3\/6 + 26*h**2. Let m be n(10). What is the greatest common factor of m and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9009521083 to the power of 1\/3, to the nearest integer?\nAnswer: 2081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -127\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11728343 and 0.07.\nAnswer: 820984.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.5 - 10. Let q be (-8)\/(-28) + (-2)\/(-7). Let o = -103\/132 - -1\/33. Which is the third biggest value? (a) g (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*356\/32 + (-10)\/(-4)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 67 = -2*j, -80 = -4*h + 5*j - 10*j. Let d = 1308 + -1305. What is the remainder when h is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 b when three letters picked without replacement from mbunvvggnvvg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1395 (base 10) to base 15\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-2))\/(2 + -1 - 2). Solve -f + 5 - 1 = a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -98862, -197683, -296512, -395355, -494218?\n\"Answer: -r**3 + 2*r**2 - 98820*r - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2\/4 + 21123*f\/2 + 126711\/4 = 0. Calculate f.\nAnswer: -14079, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 444*y**2 + 8*y - 8. Let p(b) = -148*b**2 - 3*b + 3. What is 3*i(n) + 8*p(n)?\nAnswer: 148*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 25.\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 0*a**3 - 5*a**3 + 0*a - 2*a - 2*a + 8*a**2 to the form t + y*a + v*a**2 + o*a**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**8\/11200 + q**7\/4200 - 5*q**4\/24 + 5*q**2. Let d(f) be the second derivative of i(f). Factor d(h).\nAnswer: -3*h**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258225 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 2*j - 21, j - 21 = -2*k. Calculate the greatest common divisor of j and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 9. Let p(x) = 6*x - 10. Let u(q) = 8*q - 69. Let d be u(8). Give d*t(h) + 4*p(h).\nAnswer: -h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*a**2 - 412*a**2 - 62*a**2 + 41*a**2.\nAnswer: -632*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124.39 - -45.34704.\nAnswer: 169.73704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1673 and 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -7\/20*l**5 + l - 13\/6*l**3 + 0 + 0*l**4 + 0*l**2. What is the second derivative of r(x) wrt x?\nAnswer: -42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:58 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 3 - 5*c + 5*c - 3*c - c**2 + 3*c + (3*c + 3*c - 5*c)*(c - c - 2*c).\nAnswer: -4*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + -0.92. Let n = 34 + -98\/3. Which is the nearest to 1\/5? (a) v (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335328?\nAnswer: 2, 3, 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -80108899.\nAnswer: 7\/80108899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.25, 9.12, 0.3 in ascending order.\nAnswer: 0.3, 2.25, 9.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -489*q**3*s**2 + q**3 + q*s**2 - 185*q*s - 2*s wrt q.\nAnswer: -2934*q*s**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - n + 3)*(8 - 4 + 2)*(111*n + 23*n + 17*n) in the form r*n + u + s*n**2 and give s.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -18. Let f be (-736)\/(-12) + (-4)\/h. Suppose -5*c - 3*d + f - 2 = 0, -d = 0. What is the remainder when 45 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**33))\/k*k)\/(k*k**(-17\/3))*k**(-21)\/(k*k**(-8\/15)*k) assuming k is positive.\nAnswer: k**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -613\/6 + 102. What is the common denominator of k and -83\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 2886?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-3)\/42*-2). What is the greatest common factor of 28 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3263 + 44*h**2 - 3263)*(h**3 + 2 - 2).\nAnswer: 44*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:12 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 280321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u*u\/u**(-11\/5))\/u)\/u)*u)**(-3\/4)*(u\/(u*u*(u\/u**(-17))\/u*u*u))**26 assuming u is positive.\nAnswer: u**(-10397\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 3 + 0*j**2 + 0 + 4 + j**3. Let c(n) = -48*n**3 - 9*n**2 - 48. Let h(s) = -c(s) - 9*v(s). Find the first derivative of h(i) wrt i.\nAnswer: 117*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*(255\/4 + 7).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167894 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -355?\nAnswer: 34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8525512159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2*(-14)\/(-7))\/((-25)\/300). What is the closest to 0.42 in 0, v, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -127, -225, -323, -421?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 70 = 182. Suppose -19*j + f*j = -21. Solve 8 = 4*z + o, 3 = 4*z + j*o - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:41 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 4. Let n be q(-6). Let f be 12\/3 - (-1 - -3). What is the second derivative of 2 - n*z - f - 2*z**2 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 965*t + 65. Let n(o) = 43*o + 3. Let b(i) = -2*c(i) + 45*n(i). Let s(v) = 4*v + 4. Suppose h = 3*r + 6, -6*h + 3*h = 0. Give r*b(a) + 3*s(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 2)\/((-11)\/2). Let h = -16197 - -16197. What is the nearest to h in -2\/5, u, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-183768)\/7068)\/(1\/(-2))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.1793 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-80))\/(-1*(-6)\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v - 2444 = -2*h, 3*v - h = 7304. What is the highest common factor of v and 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -70319.\nAnswer: 28127.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 162661220 (base 7) to base 8\nAnswer: 52133644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - 2. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i - i - 9*i - 3)*(5*i**2 + 0*i**2 - 3*i**2).\nAnswer: -4*i**3 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16559320 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -714?\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - 1. Let q = 581 + -563. What is the closest to a in q, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 894 or 142\/5?\nAnswer: 142\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c**2 - 9*c - 8. Let u be p(-4). Let t = u + 85. What is the greatest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n + 2 + 5 - 8 + 2*n - 3*n + 2*n + (-1 - 4 + 3)*(-18 + 5*n + 18) as z*n + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-8) - (-370)\/80. Solve n**5 - 8*n**2 + 15*n**3 - 3*n**3 + 4*n**4 + 4*n**4 - 13*n**p = 0 for n.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -14, -1, 4 in increasing order.\nAnswer: -14, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 552927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1344 + 1330 - 2*j**2 - 2674.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -323, -324, -325, -326, -327?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 2*s + 2*s)*(-3*s + 3*s - s + (3 + 4 - 5)*(-4*s - 3*s + 6*s)) to d + u*s + w*s**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92395712?\nAnswer: 2, 1443683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**6\/30 - 2*n**5\/5 - 3*n**4\/2 - 8*n**3\/3 + 17*n**2 + 53. Let x(h) be the second derivative of p(h). Factor x(o).\nAnswer: -4*(o + 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.759, 0.1, -10628.\nAnswer: -10628, -0.759, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 271247*x**2 + 16*x - 21. Let m be g(4). Let n be -5 - m - (0 - 0). What is n rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75*0.3\nAnswer: -22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -789482.21 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 34 and -46505?\nAnswer: -1581170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.014 and 0.04.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29819, 29813, 29803, 29789, 29771?\nAnswer: 29749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 x when three letters picked without replacement from {g: 2, v: 1, t: 4, x: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -148, -603, -1374, -2461, -3864?\n\"Answer: -158*r**2 + 335*r - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -10. Calculate the remainder when q is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 43*v + 780 = 255. Solve 197*g - 212*g = -v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x*x**(-5))**(1\/74)\/((x\/(x*x**1))**(-43)*(x*x\/(x*(x*x\/(x**1\/x)*x)\/x))**(-15)) assuming x is positive.\nAnswer: x**(-4301\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61589471, 61589475, 61589481, 61589489, 61589499, 61589511?\n\"Answer: j**2 + j + 61589469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 34*b**2 + 37*b - 112. What is the remainder when 63 is divided by d(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 342\/42 + (-2)\/14. Let h = 157 - x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1427 - -15633. Suppose 14*z - d = 10*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574548539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*o - 772*o + 112 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220201022020 - -21210?\nAnswer: -220201000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.1. Let f = k + 0.2. Let r be (-270)\/75 - (-2)\/(-5). What is the smallest value in f, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3805 greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 11. Let f = -16 - -27. Let l be o(f). Suppose -a - 3*z = 1, -a + l = 4*z + 2. Let v(k) = 2*k**3 - 2*k**2 - 2. Calculate v(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Let v(i) = 3*i - 2 + i - 2*i**2 - 7*i + i - i**3. Let t(r) = -2*r**3 - 3*r**2 - 3*r - 3. Determine f*t(u) - 3*v(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2530, 10138, 22818, 40570?\nAnswer: 63394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76924 millilitres in litres?\nAnswer: 0.00076924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -25*z**3 + 3880*z**2 + 7065*z = 0.\nAnswer: -9\/5, 0, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((64\/832)\/(-1)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 627 (b) -6\/13 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -y + 3975, 4*v - 11 - 9 = 0. Suppose 13*w - y = -1126. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222323130 (base 4) to base 14.\nAnswer: -4811a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05624 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k + 3. Let s(t) = 8*t - 29. Let l be s(10). Let z = 49 - l. Let a be c(z). Which is smaller: a or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100009605.\nAnswer: 3, 5, 83, 80329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75240 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223477 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288304258 and 209675824.\nAnswer: 2306434064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 3\/2*y**2 + 41*y - 47. Calculate f(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 1. Let g be 12 + (-4)\/d*0. Suppose 4*q = 8 + g. Sort q, -1\/2, 0.5 in descending order.\nAnswer: q, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22705821 to the nearest integer?\nAnswer: 4765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 = 2*c. What is the derivative of 1 - 3 - c*v - v wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 710710457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18415, 39641, 60869, 82099, 103331?\n\"Answer: b**2 + 21223*b - 2809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2624\/6396 + ((-21)\/9 - -2). Which is the closest to 1\/3? (a) w (b) 1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (2\/11 - 2). Let m = -78.9 + 79. What is the closest to m in 1, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1094, -1283, -1338, -1247, -998, -579, 22, 817?\nAnswer: 1818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 660346*a**3 + 11 - 660470*a**3 + 1320719*a**3 in the form m*a**2 + j + p*a + g*a**3 and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13697620 to the power of 1\/2, to the nearest integer?\nAnswer: 3701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.3399 + 513983.\nAnswer: 514002.3399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -329, -455, -603, -779, -989, -1239, -1535?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 12*d**2 - 5*d + 11. Let t be l(6). Let w = 26 - 62. Let o = t - w. Calculate the remainder when 29 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/4 - 4405*q**3\/2 - 4839979*q**2 + 48584970*q - 77792400 = 0.\nAnswer: -4410, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 438.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**3\/3 - 39. Let t(u) = 23*u**2 + u + 21. Let m(a) = 18*l(a) + 2*t(a). What is the second derivative of m(v) wrt v?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 - 20 = 0. Suppose -76 - 80 = -4*d + 4*b, 98*b = 95*b + 3. Calculate the greatest common divisor of d and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/11? (a) -12 (b) -21 (c) -0.03 (d) 1\/3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181616, -363388, -545160, -726932, -908704?\nAnswer: -1090476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 0 - 0 - (-6976 - 22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110100000 - -111110?\nAnswer: 11111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26659 is divided by 2497.\nAnswer: 1689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 + 26*j)*(0 + 2*j - 2 - j).\nAnswer: 26*j**2 - 52*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(-1610)*7 - (-63)\/30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**2\/2 + 5*o - 3. Let h be q(3). Sort -5, h, 1.\nAnswer: -5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(252) + sqrt(28) + sqrt(28))\/sqrt(4))**2.\nAnswer: 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*i + 15*i - 26*i + 252 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - 14*m - 19*m + 47*m - 1470 - 14*m.\nAnswer: -2*m**2 - 1470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -41*s**2 + 5*s + 5. Let t(z) = -21*z**2 + 3*z + 3. Let c(q) = 110*q - 1105. Let a be c(10). Give a*t(y) + 3*m(y).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + 8*q - 2. Let a be m(3). Suppose -4 = 2*z + 4*s, z - 5*s = a*z + 4. What is the remainder when 2 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15151*m = -485746 - 847542 for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 4*h + 2 + 10, q = -h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -143, -253, -437, -695, -1027, -1433, -1913?\n\"Answer: -37*g**2 + g - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 475 and 1875675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 - 338*k**2 - 7*k - 1. Let r(j) = -7*j**3 + 673*j**2 + 13*j + 2. Give 11*a(q) + 6*r(q).\nAnswer: 2*q**3 + 320*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27*8\/(-3)*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/13173 and 13\/105.\nAnswer: 461055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31683525, -63367048, -95050571, -126734094, -158417617?\n\"Answer: -31683523*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1296456971 to the nearest one million.\nAnswer: 1296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348\/(-261)*1\/(-4)*(504\/464)\/(-7).\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 times 47984?\nAnswer: -1103.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y = 0. Suppose -2*n + h = -7, -3*n + 3*h + y*h = -9. Let k(c) = 2*c**2 + 6*c - 4 + 0 - 3*c**2. Calculate k(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 36030.\nAnswer: 756630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**6\/120 + 2*z**5\/15 + 7*z**4\/24 + 23*z**2. Let d be w(-7). Solve d*a - a - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**15*(q\/(q**(-14\/5)*q*q))\/q assuming q is positive.\nAnswer: q**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -591972035*t**2 + 897261373 wrt t.\nAnswer: -1183944070*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 25\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 10*j + 29. Let t be w(-4). Let z be 0\/((-3)\/(-4 + 1)). Solve z = t*x - 12 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 59817 = -5*t - 2*z, 4*t + 47842 = -5*z. Let c = t + 36963. What is c rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1669 divided by 1669?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9795965093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3777122\/165 + 22892. What is the common denominator of m and -31\/45?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16.95 and -64936276.9?\nAnswer: 64936259.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1195 + 0*k - 1194 + k. Let s(h) = -5*h - 1. Suppose 3*p + 80 = 4*m - p, 5*p = -20. Let a = -15 + m. Determine a*s(q) + y(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.705474 + -96661.\nAnswer: -96635.294526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-309)\/(-22866)*(-8)\/(-16)*-8?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/32)*j\/(j*j\/j**(3\/4))*j*j assuming j is positive.\nAnswer: j**(57\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/(-21) - (-1 - (-18)\/14). Let a(v) = 2*v - 2. Let d be a(n). Solve 0 = -d*k - 3*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.08 (b) 0.1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 2) + (35 - 48 - -29)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 0.21, -0.6?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13879906.\nAnswer: 2, 89, 77977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108.69 and -0.3.\nAnswer: 32.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -445\/4 not equal to -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 10) in base 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 + 17904*k**2\/5 + 17907*k\/5 - 7162.\nAnswer: -(k - 17905)*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 3*v**2 - 14*v - 7*v - 7*v**2 + 19*v - 4. Let s(p) = 2*p**3 + 9*p**2 + 5*p + 9. Let m be -1 + (2 - 2) + -9 + 12. Determine m*s(i) + 5*b(i).\nAnswer: -i**3 - 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -8.2\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 540 - 0 - (4 + (0 - 2)). Let n(f) = -i*f + 110*f - 36*f + 17. Is n(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k**3 - 3*k**2 + 4*k - 14. Is o(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 25*s - 150. Let o be v(10). Solve -q = -o*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*x + x + 4, 4*u = x + 3. Let f be -1 + 0 + u - 6. Let k = 5 + f. Let h(p) = 2*p**2 - p - 1. What is h(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*r - 12. Let j(g) = -12*g + 24. Is j(r) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254 + -116. Suppose -a = 5, -2*u - a - 36 = 19. What is the remainder when t is divided by u\/3*(-126)\/105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 11}. What is prob of picking 2 j?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 5*u + 0*u)*(-5 - 1 + 5 + (3 + 1 - 6)*(-3 - 3 + 4) + 4 + 0 - 3 - 3 - 1 + 2 + 3 - 4 + 2 + 2 - 5 + 1 - 305 + 195 + 696).\nAnswer: 1174*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4\/(-1))\/1. Which is smaller: 6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*t + 1786165 = 1863147 for t.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1616398.9175189 - 1616399. Let m = y + -21.8184289. Let n = -21.9 - m. Round n to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49049092 * 3.\nAnswer: -147147276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = a + 13671*t - 13672*t - 8, t = 5*a + 3*t - 58 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j - 13. Let t be v(8). Let z = -16 + t. Differentiate 1 - s**3 + 1 - 3*s**3 + s**z wrt s.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-3)\/((-3)\/23). Let r = -3 + -4. Let h = i + r. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, y: 1, v: 2}. What is prob of picking 2 v and 1 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4*i + 2 + (-3*i + 2*i + 6*i)*(1 + 4 + 0) to the form q + v*i and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -4*z**3\/9 + 344*z**2\/3 - 29584*z\/3 + 50. Determine v so that k(v) = 0.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(98)*-2 - sqrt(98))**2*3.\nAnswer: 23814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 1:44 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 1 l when three letters picked without replacement from dqfel?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 + 182*t**2 + 1935*t + 26. Determine n(-17).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 = 2*n. Suppose -4*f = -4*o - 20, n*o = f + f - 10. Suppose f*v = -3*t + 4097, -v - 2*v - 2*t + 2458 = 0. What is v rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3 + 2932*r**2*v - 3*r*v + v + 35733 wrt r?\nAnswer: -6*r + 5864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 9 = 0, -4*i = -0*i - 5*d - 55. Suppose 2*a = 7*a - i. Suppose a*g = -g + 12. Solve 2*r = w + 4, -g*w = w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 - 5*k**2 - 2*k + 4. Let a(n) = -n**3 - 1. Let c(x) = 2*a(x) - i(x). Suppose -109*b = -108*b + 4. What is the units digit of c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -736374 divided by 321?\nAnswer: -2294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130317*d**2*l - 1885*d*l + d - 5 wrt d.\nAnswer: -260634*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-8) + 40\/32. Suppose -o - 2*o + l*z + 1440 = 0, -2*z = 2*o - 952. Does 31 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8233 + -0.0273. Round v to 2 decimal places.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 26*w**2 + 32*w - 67. Give m(25).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12778, 12765, 12752?\nAnswer: 12739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {p: 4, a: 2, q: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46129b (base 12) in base 8?\nAnswer: 4217127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138\/1 + (-10)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -15.448. Let s = 0.239 + w. What is s rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - z + 76 = 4*z, y + 27 = -3*z. Let h = y + 49. Suppose -17*o + 27 = -h*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-6)\/75 - (-73308)\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*k + 117 = -55*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3816 = -z. Let p = -2447\/2 + z. Let l = -21313\/9 - -2373. Calculate the common denominator of p and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*51\/83538*1\/1*3.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 27*z**2 - 319*z + 13122. Let l(n) = -16*n**2 + 159*n - 6561. Let q(f) = -3*a(f) - 5*l(f). Determine r, given that q(r) = 0.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*z - 4564 = 552*z - 480*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -26166335.4 and -1.\nAnswer: -26166336.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in hours?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 74905592, 74905593, 74905594, 74905595, 74905596?\n\"Answer: j + 74905591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6670 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7276847, 14553632, 21830417, 29107202, 36383987?\nAnswer: 43660772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 10:51 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2588*b**2 + 13811*b**2 + 8095*b**2 + 19866*b**2.\nAnswer: 39184*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 11. Let c be z(15). Suppose -3*p = c*k - 16, -3*p + 7 = 3*k - 11. Let f be 4\/(-6)*(p + -218). What is the greatest common factor of 28 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398441511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 937 - 907. Calculate the highest common factor of k and 3820.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/2, -2855, 2\/19, 0.4, -2\/9, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.06 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130414336 and 23933?\nAnswer: 3419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*w**4 - 19*w**4 - 28*w**4 + 130*w**2 + 10*w**4 + 2*w**3 wrt w.\nAnswer: -1368*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-285)\/38)\/(-10 - 0). Let k(s) be the first derivative of -g*s - 1 - 1\/12*s**3 + 1\/2*s**2. Determine f, given that k(f) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqohoyoqoqoohoo. What is prob of sequence ohhy?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (105\/(-63))\/(1\/(-3)). Let t be ((-35)\/l)\/7 + 2 + 12. Find the second derivative of -24*n - 243*n**4 - t*n + 243*n**4 + 36*n**5 wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**2*f)\/f)\/(f\/(f\/f**(1\/7)*f)))**(-7\/4))**50)**(-38) assuming f is positive.\nAnswer: f**9500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (129*6\/54)\/((-1)\/3). Let h = z + 4. What is the remainder when -1 + (26\/h - (-596)\/3) is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 7, -24.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-2 + sqrt(700) + sqrt(700)*-1 + sqrt(700) - sqrt(700)) + -2*2*sqrt(700) + sqrt(700))*5)**2.\nAnswer: 2700*sqrt(7) + 157581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*((2*sqrt(832))**2 + sqrt(832)).\nAnswer: 40*sqrt(13) + 16644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3723 + -1853. Is k a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -395*a - 23. Let y(q) = 41*q. Determine y(c(u)).\nAnswer: -16195*u - 943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*-1*970\/1164.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35540 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-48*l - 7*l - 241*l + 6*l)*(5*l - 3*l - l) in the form d*l + y + n*l**2 and give n.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1887 divide 24327204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18275.1063383 - -4.\nAnswer: 18279.1063383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 147\/42*(-2)\/(-7). Let f be (-2*2)\/((-3)\/3). Does 16 divide (37\/f)\/(a\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000000000110100001 (base 2) in base 13?\nAnswer: -4c3567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-28))\/4*-1\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -567\/5 - -113. Sort 2, w, -1\/6 in increasing order.\nAnswer: w, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 238821, 238849, 238877?\n\"Answer: 28*u + 238793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*t**3 - 32*t**2 + 214 wrt t?\nAnswer: 18*t**2 - 64*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633197331?\nAnswer: 3, 13, 349, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 20313409.\nAnswer: -4\/20313409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -278268 divided by 12\nAnswer: -23189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 3*v - 2. Let x be y(-4). Factor 3*o**2 - 5*o**x - 3*o**4 + 46*o**3 - 39*o**3.\nAnswer: -o**2*(o - 2)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -3*b - k, -k - 3*k = -5*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkwwiklaalllkly. What is prob of sequence il?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. What is the closest to d in 3, -1\/4, 1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1052 + -4?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y - 18. Let t(i) = -i**2 - 8*i - 7. Let c be t(y). Suppose 0 = -f - 0*f - c, -4*f = d - 20. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 214?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14373*v + 19052*v = -505332 for v.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 1. Let r = -16 + 23. What is b(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r**3 + 4\/35*r**5 - 1\/21*r**6 + 4 + 0*r + 0*r**2 - 1\/14*r**4. Find b, given that k(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 - 120.79. Let p = -4.17 - r. Let w = -0.38 - p. Which is the third biggest value? (a) 0.5 (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + (-5*2*sqrt(425) + 0)*1)*-5 + -1)**2.\nAnswer: -114000*sqrt(17) + 9568276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14372.\nAnswer: 2, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 495 - 1296. Let y = -564 - u. Let z be (-5)\/3*-2*y. Round z to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13438 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 37*n**2 - 39*n + 32. What is u(38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38641749 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69597239 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 39*g**2 + 17. Let k(z) = -13*z**2 - 6. Calculate 17*k(r) + 6*v(r).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c. Let o(z) = -16581*z. Give o(r(p)).\nAnswer: 33162*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {a: 2, l: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18638.44 + 1494.61923.\nAnswer: -17143.82077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**2 + 0*m - 1\/30*m**5 + 0 + 0*m**4 + 0*m**3. Let d(z) be the first derivative of 4*z**2 - 624428. Determine p(d(v)).\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*i**6 - 4*i**5 + 10*i**3 - i**2 + 2241*i + 2?\nAnswer: -1200*i**3 - 240*i**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**6\/40 + d**5\/15 - 5*d**2. Let j(g) = -1589 + 1589 + 0*g**3 - 3*g**2 - 4*g**3. Calculate 4*j(o) + 3*t(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1269 and 303?\nAnswer: 128169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**9\/7560 - g**6\/60 - g**4\/4 + 4*g. Let q(l) be the third derivative of c(l). Find the second derivative of q(u) wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.7 - 2.57. Let j = 5.87 + c. Let l = j - 5.6. What is the nearest to 1\/2 in -1, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 193*n**3 + 4*n**2 - n - 3901 wrt n.\nAnswer: 579*n**2 + 8*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5058 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g - 9 = 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.253 in -2, 1.2, -0.2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f + z = 303, -3*z + 370 = 5*f. Let p be (-8)\/(48\/(-54)) + 2. Calculate the highest common divisor of p and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.5 - -2.5. Let l = p - -8. Which is the second smallest value? (a) 1 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13605521026 to the nearest one hundred thousand.\nAnswer: 13605500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14940 (base 12) in base 15?\nAnswer: 88cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 53 + 46 - 8*u - 167 + 54 + 62.\nAnswer: -8*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 48, 47, 46, 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/19))\/(((y*y**(-2\/21))\/y)\/y) assuming y is positive.\nAnswer: y**(794\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7444 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 5*s + 14, 5*z + 12 = -45*s + 46*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50296602, -50296601, -50296600?\n\"Answer: p - 50296603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:12 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, -0.22 in decreasing order.\nAnswer: 0.3, -0.22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7464126 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: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2226 = -136*v + 30*v for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/173 in 0.2, -0.4, -3\/7, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = 6. Let t be ((-4)\/v)\/(0 - (-8)\/12). Solve i + t*i = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20779 or 20777?\nAnswer: 20777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h, -1537 = -4*o + 3*h + 506. Suppose -13*k - o = -16*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 1, -3 = 5*i - 3*h. Suppose -23 = v + 4*v - 2*u, -3*v - 4*u + 7 = i. Are v and -14\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02812, -1\/5, 63?\nAnswer: 0.02812","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12245 - -6?\nAnswer: 12253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, -0.021, -27, -204, 4?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z + 5. Let l(w) = -w**2 + 48*w + 1183. Let c be l(-18). Calculate u(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13232302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27042, 54464, 81886, 109308?\nAnswer: 136730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2941280 rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 86262 equal to 86453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 1. Let h be n(4). Let j(i) = 2*i + 24. Let p be j(-11). Let v(o) = 1 + p*o - h + 2. Let t(f) = 2*f**2. Determine v(t(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -373 and 4780868.48?\nAnswer: 4781241.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72943\/28 + -2604. Calculate the common denominator of z and 71\/840.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -183 or -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 3. Let h(b) = 2*b - 3. Let n(l) = -2*c(l) + 3*h(l). Let j be 0\/7 + (-6*1)\/(-3). Let f(w) = -3 + 4 + 0 - j. What is -6*f(d) + 2*n(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 877237877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -192075, -192082, -192089, -192096, -192103?\n\"Answer: -7*n - 192068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, l: 1, h: 1, r: 1, f: 3}. Give prob of sequence fht.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(25\/75)\/((-1)\/(-3)). Does 15 divide (-3625)\/(-50) - 5\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -s + 16, -2*s + 5 = -3*b - 2. Let g(c) = -41 - 39 + c + 71. Let v be g(s). Solve -2*h = 5*m + 34 - 1, m + 13 = -v*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + y - 8, 0 = x - 3*y - 8. Suppose -26 = 6*a - 32. Suppose -d = -6*d - 40. Sort a, d, x in descending order.\nAnswer: a, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6113293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7436859884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from tqtrqcqoq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -869586 divided by 6?\nAnswer: -144931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3464 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgegggwqgxeyege. Give prob of sequence xe.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -3*f - 4*x + 11*x + 42, -5*f + 17*x - 434 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15625, -62467, -140537, -249835, -390361, -562115?\n\"Answer: -15614*w**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18*52\/(-1014))\/(4\/(-26)). Solve i*u - 10*u + 5*s - 24 = 0, 3*s - 11 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 225*a - 207*a - 2*a**2 + a**2 - 15 as x*a**2 + u*a + s and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/8 - 183*s\/4 - 11163\/8.\nAnswer: -3*(s + 61)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m. Let a(x) be the third derivative of -4*x**5\/3 + x**4\/24 - 2*x**2 - 33. Give d(a(g)).\nAnswer: 160*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 875 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -232 - -228. Suppose -2 = 5*k + 23. Sort k, x, 1 in decreasing order.\nAnswer: 1, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2. Let q(c) = 3510*c - 107 - 510 - 3512*c + 147. Calculate m(q(b)).\nAnswer: -8*b**2 - 3760*b - 441800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(20) - (sqrt(20) - (sqrt(20)*-2 + sqrt(20))))\/sqrt(10))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3853*h**3*l**3*q**3 + 880*h**2*l**3 - h**2*l*q**3 - 2*h**2 wrt h.\nAnswer: -23118*l**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.548642969 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - t + 214 - 206 = 0, 0 = -5*w + 4*t + 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144\/5 + 29. Let w = 1.1 - 1.1. Let g = w - 3. Sort g, q, -2 in descending order.\nAnswer: q, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 7*q - 1. Determine g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3060 by -340.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 - -381. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66.2901878 - -21.7098532. Let a = -88 + l. What is a rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.7 - 9.700002095. What is l rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 11*t**2 - 21*t - 25. Let y be r(4). What is the greatest common factor of y and 34?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2628 = -5*l - 0*w, 4*w = -3*l + 1586. What are the prime factors of l?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) + (-4)\/(-10). Suppose 2*k = -4*x + 22, 3*k - 3 = -0. Suppose -3*l + 2*o + 29 = 0, g*o - 13 = -2*l - x*o. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 832 = 192. Let c be 2\/(-3) - f\/(-225). Are -1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4844 = 2*q, 4*u + u = 4*q + 12083. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17.638 (b) 4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.1, -2\/7, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 101444? (a) -2 (b) -0.1 (c) 12 (d) 0.2 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/9 and 78\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*m - 15. Suppose -5*c = -m*c - 23. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9110606 divided by 2?\nAnswer: 4555303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 7*v - 9. Let l be r(6). Let u be -3 - 29*l\/1. Suppose -41 = -3*m + 5*k - 6*k, 2*m = k + 19. Calculate the greatest common factor of u and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476446 is divided by 163.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1846 and 223.3?\nAnswer: -264.52118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 70*u**2 - 9*u - 19. Let d be g(-4). Suppose 8*x + d - 4017 = 0. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20230754 or -20230755?\nAnswer: -20230754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -424*q + 432*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.80496ug in tonnes?\nAnswer: 0.00000000002880496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*y**2 - 62*y**2 - 62*y**2)*(-3 + 0*y + y + 1).\nAnswer: -215*y**3 + 430*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102201 - -102?\nAnswer: 110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6464283 and 6?\nAnswer: 12928566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 3. Let l(b) = b. Let t(q) = i(q) - 5*l(q). Let a be t(3). Suppose -3*o - 2*w - 1 = a, -4*w - w = -o + 28. Solve -z + o = -0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 34\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**6\/60 - g**4\/24 - 2*g**2 - 2*g. Let l(p) be the first derivative of n(p). Find the second derivative of l(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -1.8. Let l be (2 - 2)\/(-3) - -24. Let u be l\/(-16)*(-10)\/(-12). Put u, r, -2 in decreasing order.\nAnswer: r, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 5*w**2 - 28*w - 9. Let u be g(-3). Solve -2*m + z + 0*z - 5 = 0, -u*z = -5*m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 67080.1km?\nAnswer: 67080100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 5. Let o(v) be the second derivative of -v**3\/6 + 3*v**2 + 8*v. Let y(d) = 3*o(d) - 4*q(d). Suppose 2*i + 3*i = 10. Determine y(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -15, 4*p = 3*z - 43150 - 4255. What is the highest common divisor of 65 and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -2a?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/30)*c*c)\/c)\/(c\/c**46) assuming c is positive.\nAnswer: c**(1379\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 22 = h. Suppose 4*w - 2*b = h, 0 = -2*w - 2*b - b + 29. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*b**2 - 17*b**2 - 583*b**2 + 18*b**2 - 257*b**2 as c + j*b**2 + t*b and give j.\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 84391855357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 55, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 2*n - 37, -4*s + 13*n = 11*n - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -11\/9 (b) -5 (c) 2.31 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 13*o. Give g(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-12)*140\/(-126).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/2 - 4*l**3\/3 + 5*l**2\/2 - 5. Let o be r(-4). Suppose 0 = -0*b + 4*b - o. What is the least common multiple of 2 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 16*s**2 + 15*s + 5. Let o be (-14 + (-510)\/(-40))*-12. What is c(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 2*l + 10*l - 23*l = 120 for l.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -32592\/73 (b) -23 (c) -3\/4 (d) 0.1 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 42e?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(200) + 1 + 5) + 4)**2 - (sqrt(162) - -3*sqrt(162))\/(sqrt(54)\/sqrt(216)).\nAnswer: 1248*sqrt(2) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 20. Let t(y) = 3*y + 28. Let w(g) = 7*f(g) - 5*t(g). Let k(b) = -2*b. Calculate -5*k(l) + 15*w(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 0.2, -4, -8, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41434 (base 7) in base 14?\nAnswer: -39c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 90*u.\nAnswer: 5*u*(u + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjpxjdxj. Give prob of picking 1 j and 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 915\/(-8845)*3\/9\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1245240, 1245239, 1245238, 1245237?\n\"Answer: -h + 1245241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4*(3 - 5). Let q(r) = -2 - 5 + 7*r + x. Let u(c) = 6*c - 5. Let s be ((-80)\/(-48))\/((-1)\/3). Calculate s*q(d) + 6*u(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 minutes before 5:47 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3 + 463416*t**2 - 26842444872*t - 214769218624 = 0.\nAnswer: -8, 115858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5225, -12235, -23919, -40277, -61309, -87015?\nAnswer: -117395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4220*r**5 + 70377*r**4 + 290869258*r**2?\nAnswer: 253200*r**2 + 1689048*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.7, 4\/7, -1\/5 in ascending order.\nAnswer: -5, -1\/5, 4\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*q = -2*y + 53, -5*y + 2*q + 373 = 0. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**30)**(-1\/14)\/(((o**(-1)*o)\/o)**(3\/32)*(o**0*o)**(-38)) assuming o is positive.\nAnswer: o**(1219\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*j**3 - 29*j**2 + 94*j**2 - 2*j - 31*j**2 - 34*j**2.\nAnswer: 68*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*r**2 - 11*r**2 - 5*r**2)*(2 - r - 2) + (0 + r**2 + 0)*(-2*r - 3 + 3) + r - r - r**3 to w*r**2 + a + j*r + d*r**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*h - 218 - 94 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-25\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -946, -1419, -1890?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 12. Suppose -4*a = 3*d + 23, -5*a + 0*d - 21 = -4*d. Give z(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -1 - (-102)\/17. Suppose -4*i - x = -0*i. Let d be (-348)\/(-36) - i\/3. Solve 0 = v + 4*v - d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.896 + 10.1. Let b = -0.066 - c. Let y = b - -0.26999905. Round y to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -856c1b + 12?\nAnswer: -856c09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 10, o: 6}. Give prob of sequence zoo.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27690, -27704, -27732, -27774, -27830?\nAnswer: -27900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 2778?\nAnswer: 277.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 109 + 74 + 9*p - p**2 + 37 - 3*p**2 + 3*p**2. Let u be a(-11). Solve 0 = 2*n + 3*j - 4, -5*n - 4*j + 2*j - 1 = u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(9\/7))**(-21) assuming i is positive.\nAnswer: i**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*j - 506*j + 1722 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11100010110101011 (base 2) to base 8\nAnswer: -342653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 241739*f**6 - 2*f**4 + 1047801*f**2?\nAnswer: 29008680*f**3 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 11. Let b(y) = -y**2 - 7*y + 7*y - 54 + 2*y**2 + 4*y + 11*y. Let w be b(3). Give n(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5167225 is divided by 1722402?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*i + 76. Suppose 4*p - 6*p = -i. Suppose -4*o + 41 = -p. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 11 = -5*s - 16, -3*k = -2*s - 18. Let w(p) be the third derivative of 73*p**5\/60 + p**4\/3 - 7*p**3\/6 - 18*p**2. Is w(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d7dd - -1?\nAnswer: -6d7dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3680*g + 21718*g + 4465*g + 12551*g to x*g + m and give x.\nAnswer: 35054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441114403 (base 5) to base 10.\nAnswer: 1894978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6\/(-294)*-21 - 11642\/(-14) and 4?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + k + 57. Suppose -4 - 6 = -5*v. Suppose v*d - 2*l - 6 = -d, 9 = 4*d - 3*l. Is b(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*u - 29, -3*c - 397 = -3*u - 418. Solve -c*f - 2*f = 3*j - 2, 3*f = 3*j + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.301 plus -13?\nAnswer: 41.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.321 + 0.021. Let t = 1.2 + x. Is t > 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 503360.\nAnswer: 1510080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 501068 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 8*d - 5. Let r be b(-5). Sort 5, -4, r.\nAnswer: r, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4067*y - 45781.\nAnswer: 4067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/36)\/(-2 + 7611\/3798). Which is bigger: g or -29?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 21, 0 = 3*b + 3*u + 6*u - 5*u + 19. Find m, given that -13*m + 35\/2*m**2 + 2 + 49\/4*m**b = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4494*p**2 - 8968*p**2 + 3 + 4487*p**2)*(0*p + 0*p - 2*p**2).\nAnswer: -26*p**4 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2869 + 0.16\nAnswer: 2869.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2727 (c) 2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1188 - -866a?\nAnswer: 7492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27148179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77*v + 2500 - 520*v**2 + 1029*v**2 - 522*v**2 wrt v?\nAnswer: -26*v + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710.731 nanoseconds in milliseconds?\nAnswer: 0.000710731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2\/5 (c) 2.75 (d) -0.1 (e) 0.3 (f) 0.0177\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -83576.85 to the nearest 1000.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54129256337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159 + 253. What is the greatest common divisor of 329 and g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i - 5. Suppose 0 = 3*l + 2*k - 1, 0 = -2*l + 3*k + 6 + 12. Calculate the remainder when 9 is divided by y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**7\/1050 + u**6\/75 - 2*u**5\/25 + 4*u**4\/15 - 8*u**3\/15 - 54*u**2. Determine r so that o(r) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-4)\/(-18)*3. Let x = -0.021 + -0.079. Which is the nearest to x? (a) 5 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 56, 144, 276, 458, 696?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/14 (b) -97 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4535*n - 4519*n - 5*a + 31 = 0, -4*n - a - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125561656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3271*j - 538*j - 82151 = 58782 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 447030 rounded to the nearest one thousand?\nAnswer: 447000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m + 130 = 189 + 145 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 26*l + 21. Let a(c) = -9*c - 7. Let k(f) = -17*a(f) - 6*d(f). What is the least common multiple of k(-4) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173384.01 - -172387. Let r = y + 993. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -7. Let w = n + 5. Suppose -3*v + 65 - 23 = -w*d, -d = 0. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 3 - o)*(11*o**2 + o**2 - 2*o**2) as w + g*o + p*o**2 + n*o**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 32*u + 2 - 5 - 17*u - 14*u. Let f be (-3)\/(-18) + 203\/42. Determine g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -h - 227, -4*y + 2*h + 182 = h. Suppose -6*x + y = -3*x. Let i = -13 - -17. Solve 9*r - i*r = x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**3 + 46*o**2 + 10*o + 15. Let m(c) = -3*c**3 - 23*c**2 - 6*c - 9. What is 10*m(i) + 6*s(i)?\nAnswer: 6*i**3 + 46*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -79912.58 rounded to the nearest 100?\nAnswer: -79900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3283 (base 14) to base 6\nAnswer: -104243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4\/13)*r)**(-20))**(6\/5))**(6\/13) assuming r is positive.\nAnswer: r**(-1296\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-187)\/(-1683))\/(((-8)\/204)\/((-20)\/(-5))).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 5*c + 11. Let r be l(-5). Let g be (-123)\/r - 2\/13. Suppose -6 + 18*y**g + 15\/2*y**4 - 3\/2*y**2 - 18*y = 0. Calculate y.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 291 = 64*h. What is the second biggest value in -1, -2\/9, h, 5\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 8686 - 1535. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) 44 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20398620*f**4 - 48887*f - 266 wrt f?\nAnswer: 244783440*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 divided by -11321.\nAnswer: -48\/11321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 674*o**2 + 673*o**2 - 2017*o**2 + 673*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 38*a**3 + 11 + 83*a**3 + 37*a**3.\nAnswer: 82*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 12}. Give prob of sequence vg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 3.62218708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/19 - 60*d**2\/19 - 288*d\/19 = 0.\nAnswer: -24, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s + 1488 = 187*s - 105*s for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -16*q**3 - 11*q**2 - 16*q - 10. Suppose 0*x = x + 21. Let d = x - -32. Let m(h) = -5 + 3 - 8*h**2 + 6*h**2 - 3*h + 0 - 3*h**3. Give d*m(u) - 2*n(u).\nAnswer: -u**3 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 = 45*f - 31 + 257 + 299 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -9*p + p. Let k(j) = 33*j + 2. Let r be k(p). What is the highest common divisor of r and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -10, -177902 in descending order.\nAnswer: -6, -10, -177902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -b, -3*b + 35 = 3*g + 2*b. Suppose 5*k = g*n, 0*k - 4*n = 2*k + 24. Let h = 0 - k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 319 + 319 + 3*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 20*j**3 + 206*j**2 + 80*j + 188. What is h(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 0*r**3 + 25\/2*r**4 - 151*r + 0*r**2 + 155. What is the derivative of p(w) wrt w?\nAnswer: 150*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268234 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 1 - 4)*(-1 + 3 - 3) - 1 + 2 - 7)*(-3*p + 5 - 5) to the form g*p + q and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 11*j**2 - 1 - 2*j + 2 + 12*j**2 + 31*j**4 in the form p + s*j**2 + b*j**3 + h*j**4 + a*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 + 12*r + 2. Let v(x) = -5*x**2 + 25*x + 5. Let s(t) = 5*m(t) - 2*v(t). Find the second derivative of s(b) wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1139*q**2 - 42145*q - 75. What is d(-37)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-84)\/392)\/(4\/(-14)))\/(91\/28)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 4*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - x + 4*x)*(-2 + 1 + 0)*(1 + 1 + 2)*(-2 - 2 + 3) as m + w*x and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/(-16) + 3 + 75\/84. Let t(f) be the first derivative of 3\/14*f**4 - 11 + h*f**2 + 22\/21*f**3 - 8\/7*f. Factor t(q).\nAnswer: 2*(q + 2)**2*(3*q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/9, -301\/4, -1.88, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 26, 39, 6, -3 in decreasing order.\nAnswer: 39, 26, 6, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q + 137. Let c(h) = 20*h - 544. Determine -9*a(z) - 2*c(z).\nAnswer: 5*z - 145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3)*3 - -1. Let j be (2 - 3) + (5 - g). Let -2\/7*k**4 + 0*k + 4\/7*k**j + 0*k**3 - 2\/7 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*v - 114*v = 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*12 + 2. Let p = 11 - n. Let j = 6 - p. Solve -4*v + v + 12 = j*k, 4*v - 16 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*p**2*w**2 + 6*f**2*p*w**2 - 36*f*p - 2*f - 13122*p**5*w - 4*w**2 wrt p?\nAnswer: -2*f**2*w**2 - 262440*p**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5226112997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288580246?\nAnswer: 2, 19, 181, 41957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 7*l + 311952 = 0. Suppose 24*y - 8530 = l. What is the greatest common factor of y and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/7 + 6398691*d\/7.\nAnswer: 3*d*(d + 2132897)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 383, 382, 381, 380, 379?\n\"Answer: -d + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*1*sqrt(200)*-2.\nAnswer: -320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11718 = 6*m + 75*m + 198*m for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247398081 to the power of 1\/3, to the nearest integer?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8130097 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**1\/k*k))\/k)\/k*k*k**9*k)**18*(k**(-1\/4)*k\/(k*k\/(k*k*(k*k**(-1\/4))\/k)*k*k*k*k))\/(k**1*k)**(-42) assuming k is positive.\nAnswer: k**(485\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 27*f**2 + 128*f - 12. Determine u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -n - 4*n + 31, 0 = 3*n + 2*x - 21. Let i be (10\/40)\/(2\/16). Solve 3*f = i - n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-2*b + 0*b + 3*b) + 5*b - 3*b - 4*b + (1 + b - 1)*(2 - 2 + 2) + 4*b - 2*b - 3*b + b + 10*b - 4*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -189\/55 smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 2 d when four letters picked without replacement from {d: 3, q: 2, r: 1, w: 4, p: 2, l: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:20 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 11*j**4\/6 + j**3\/6 + j**2\/2 + 6*j. What is the least common multiple of g(1) and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 + 0)*(2 + 2*b - 2) + 2*b + 1 - 1 + 3*b + 4*b - 5*b + (-8021 + 333*b + 8021)*(-1 + 3 - 3) to m + o*b and give o.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86*n**4\/5 - 962*n**3\/5 - 3402*n**2\/5 - 3574*n\/5 - 244.\nAnswer: 2*(n + 1)**3*(43*n - 610)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34a - -372a15?\nAnswer: 373264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-4 + (-36)\/(-8)). Suppose k*j - 3*j + 27 = 0. Let o(p) = 5*p**2 + p - 4. Let a be o(-4). What is the greatest common factor of a and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/20)\/(-39 - -38)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(0 - 2 - 1)*(-2*c**3 + 2*c**3 + c**3).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(3) + -3 - sqrt(3) - sqrt(3)) - (sqrt(3) + ((2 + sqrt(3))*2 - sqrt(3))).\nAnswer: 3*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1573) - sqrt(1573) - sqrt(1573)) + -5 + sqrt(1573) + (sqrt(1573) + 1)*-6 + (sqrt(624)*6)\/sqrt(3)*-6*6.\nAnswer: -930*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 211447534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f*r**2 + 4*f - 6*r**5 + 44*r wrt r.\nAnswer: -8*f - 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:01 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((432\/(-13120))\/(-27))\/((-14)\/((-1680)\/(-15))).\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x*x\/(x\/(x\/x**(2\/5))*x)*x)**(11\/6) assuming x is positive.\nAnswer: x**(209\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(3*r**2 + 0*r**2 + 3*r**2) - 5*r**2 + 4*r**2 - r**2 + (6*r - 2*r - 3*r)*(-r - r + 0*r) + (-r + 4*r - 2*r)*(-22*r + 23*r - 19 + 6).\nAnswer: 3*r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*j - 214. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019325089839 to seven dps.\nAnswer: -0.0019325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8031 - -8035. Let f be ((-16)\/(-12))\/(4\/(-6)). Put c, f, -1\/9 in descending order.\nAnswer: c, -1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26.21685, 3, 1\/3, 3\/7 in decreasing order.\nAnswer: 3, 3\/7, 1\/3, -26.21685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0)\/x**(-1)*(x**(2\/3)\/x)**48 assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 134*b + 463. Let u(h) = -66*h - 230. Let g(a) = 3*o(a) + 5*u(a). Differentiate g(j) wrt j.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.8 + -6.8. Let p = 0.05 + -4.05. Let k = p + l. Which is the second biggest value? (a) 4 (b) 0.03 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 880 + 0.5.\nAnswer: 880.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -225*j**3 + 4*j**2 + 4*j + 4. Let t(k) = 901*k**3 - 17*k**2 - 17*k - 17. Determine 17*l(b) + 4*t(b).\nAnswer: -221*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1472*j - 3300 - 44663 = 53649 - 20652 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 4*w)*(-9*w - 1 + 15*w - 4*w).\nAnswer: 4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88849 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 16 = -0*z. Suppose 0 = -2*i + 5*o + z + 14, -3*i = 4*o - 45. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4554 is divided by 160?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-1)**2*4 + ((sqrt(242) - (-1*sqrt(242) - sqrt(242))) + 0)**2.\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42123.\nAnswer: 3, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13552 divided by -7?\nAnswer: -1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.4 (b) -3 (c) 3\/4 (d) 1\/9 (e) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.999505t in micrograms?\nAnswer: 3999505000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14994 + -14994.3. What is the nearest to 1\/4 in o, -52, -8, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2289*(-13)\/(-1755) - -17?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by 26\nAnswer: 53\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 w, 1 r, and 1 b when four letters picked without replacement from {b: 1, d: 5, r: 3, z: 6, w: 2}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-20) + (-2)\/10. Suppose o = -a + 2*f + 7, -3*a + 2*f = -a - 20. Round a to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3216, 6466, 9716, 12966, 16216, 19466?\nAnswer: 22716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r + r + 5*r + r. Let t be (-6)\/12 + 15\/2. Let w(x) = -t*x**2 + 34*x + 2*x**2 - 34*x. Give w(a(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798*m**3 + 1695*m**3 - 669*m**3 - 1.\nAnswer: 228*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/8, 0.19?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 9\/17, -0.5, -2 in decreasing order.\nAnswer: 5, 9\/17, 0.4, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/((-4)\/1)*37. Let i = s - 26. Suppose -3*j = 3, -3*o - 4*j + i = -3*j. Solve 5*l - 3*l - 2 = 3*z, 5*l - o*z = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(7) - (sqrt(42)\/sqrt(6) + 3)) + sqrt(7) - 3*-1*sqrt(448))**2.\nAnswer: -100*sqrt(7) + 4379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-75)\/55 - -1)\/(-2). Let m = t - 17\/33. Sort -2, m, -0.4 in ascending order.\nAnswer: -2, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467278643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*s**3 + 1529873 - 1529873.\nAnswer: 46*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*((-320)\/16)\/10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 127*v**2 - 492*v + 27. Let u be a(123). Solve 27*s - 18*s = u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 447 - 10*q - 447 as z*q + f and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 993, 1985, 2977?\n\"Answer: 992*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -2\/13 (b) 2\/27 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*k**2*r**3 + 751000*k**2 + 86360*k*r**3 wrt r?\nAnswer: -15*k**2*r**2 + 259080*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1861006 - -197.\nAnswer: 1861203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 5*d**4\/4 - 140*d**3\/3 - 145*d**2\/2 - 1019. Find f, given that b(f) = 0.\nAnswer: -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0161 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 6 - 2)*(3*o**4 + 0*o**4 - 4*o**4) + (0 - 1 + 2)*(o - o + 2*o**4) + 2*o**4 - o**4 + o**4.\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 8 = 2*f, -f = 2*f - p + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4323212 to 4 dps.\nAnswer: 1.4323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000449105772 to 6 decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, -41 in ascending order.\nAnswer: -41, -14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 9. Let y = -232 - -235. Suppose 5*a - r + b*r = -15, -y*r = -3*a + 15. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Suppose -i - 1 = -4*y - 3, 0 = -y. Let a(n) = 44*n - 44*n + 3*n**i. What is -5*a(b) + 12*w(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -23. Let n(d) = 30*d**3 + 3*d**2 - d + 1. Let b be n(p). Let f be (6\/(-4))\/(b\/(-88)). What is the highest common divisor of f and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/15 - (0 - -7))*5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = 3*s - 21, -2*m = -2*s - 46. List the prime factors of ((-18)\/(-15))\/((-4)\/((-8400)\/m)).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvhhhvvvvvhh. Give prob of picking 4 v.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 29259, -3 in decreasing order.\nAnswer: 29259, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0 (b) -1\/7 (c) 504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:42 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -1, 3, 60.3 in decreasing order.\nAnswer: 60.3, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.7 - 81.3. Let h = -106.1 - o. Let w be 0 + (-1*2)\/2. Which is the closest to h? (a) w (b) -2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/115 - (-1120)\/184\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k - 60. Let l be (-10)\/k - 1\/2. Sort 2, l, -0.3.\nAnswer: l, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0458 - 0.0019. Let x = a + -0.0797. What is x rounded to 3 decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csuu when four letters picked without replacement from iuuiigggugcususucc?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:14 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/(-3) - (4 + 70\/(-21)). Let b(f) = -3 - t - 2 + 16*f + 10. Let w(m) = 3*m - 1. Give 4*b(h) - 22*w(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 + 10*b**2 - 6*b - 6. Let c(p) = -110*p**3 + 220*p**2 - 135*p - 135. Let w(o) = 2*c(o) - 45*k(o). Factor w(v).\nAnswer: 5*v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f - 5. Let o be k(-1). Suppose o*q - 532 = -q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by (-1 - (-2 + 2))*-3 + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 600\/19?\nAnswer: 600\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 17 = -4*w. Let f(y) = -2*y**2 - 8 - 11*y + 16*y + y**2 + 3*y**2. Calculate the remainder when w is divided by f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -157, -6 in ascending order.\nAnswer: -157, -6, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let p(n) = -4514*n**2. Calculate p(l(r)).\nAnswer: -18056*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(65) + sqrt(65))*5)\/(-3*(sqrt(5) + sqrt(125) + sqrt(5) + sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29812256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, n: 2, q: 3, w: 3, x: 1, r: 2}. Give prob of sequence qqx.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 - q**2 + 2*q**2 + q**2 + 2 to the form z*q + h + b*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95738640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(4\/(8*-1)). Let t = 5.08 - 10.08. Which is the third biggest value? (a) p (b) t (c) -51\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 2 + (-6 - 39429\/18))*-526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403138044 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 503769 smaller than 503767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c. Let h(z) = -77443*z**2. What is h(r(j))?\nAnswer: -1239088*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2794*s**4 + 6*s**5 + 7*s**6 + 206*s**2 + 2877*s**4 - s**6 - 5*s**5 + 1093*s**2 wrt s.\nAnswer: 720*s**3 + 60*s**2 + 1992*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c**2\/9 - 149092*c + 91262800\/9 = 0.\nAnswer: -335525, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 + 2594*s\/3 - 253300.\nAnswer: -2*(s - 850)*(s - 447)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14*g + 41. Let h(u) = -2*u + 1. Let p(n) = -f(n) + 4*h(n). Let b be p(6). Let z(x) = 2*x**2 - x + 0*x + 0*x**2 - 1. Give z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Let z = 12 - v. Let j = 4 - z. Sort 1\/7, j, 0.4 in descending order.\nAnswer: 0.4, 1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7259 + 160.8241. Round p to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**2 + 9*d + 15. Let c be s(-15). Let n = c + 1206. Let i = -268 - n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 209, 4 in decreasing order.\nAnswer: 209, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 188*n - 4161. What are the prime factors of c(-107)?\nAnswer: 2, 7, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/16*2*(-6)\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -39875899 from 43613.\nAnswer: 39919512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t - 162. Suppose 7*y - 5*y - t = 0. Suppose -5*z + 2*w = -83 + 24, 3*z - y = 4*w. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30482, -120945, -271720, -482807, -754206?\n\"Answer: -30156*q**2 + 5*q - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 56044, 56504, 56974, 57460, 57968, 58504?\n\"Answer: y**3 - y**2 + 456*y + 55588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*m - m + 4*m)*(1 + 1 - 3) + 1225*m + 80*m - 16075 + 16077 in the form a*m + w and give a.\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1093684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*c - 87, -3*c - 2*f + 24 = -43. Suppose -c + 9 = -7*p. Let z(m) = 9*m**p - 17*m**2 + 10*m**2. Let y(t) = -t. What is z(y(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-605)\/(-275)*5\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*c**2 + 3*c**2 - 2*c**2 + (-6*c + 9*c - 7*c)*(4 - 2*c - 4).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4608) + 5 + -2*sqrt(4608))*-1 + -1 + -3)**2.\nAnswer: -864*sqrt(2) + 4689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 50 + 22. Is (-14)\/(-63) + (-38)\/i + 997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 4 - 26) + 2. Let g be 15\/v*(-30)\/189. Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*h + 16306 = 0, 6*h - 2*h - 16300 = 4*n. Let l = n - -7505. Suppose -2*v = 7*v - l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11253 and 11256 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 72 = 3*k - 387, b = -3*k + 459. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164528 divided by -5.\nAnswer: 164528\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.045 + 0.955. Let g = 8.9 - 24.3. Let d = g + k. Round d to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13220.879 plus 11584?\nAnswer: 24804.879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbqqqqqqqqqqbqqqbqbq. What is prob of sequence bqbb?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*t + 3*s, 2*t - 6*t = s - 100. Solve -u - 4 = 2*c + u, -4*c + 2*u = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 500 + -499.7. What is the second biggest value in 2, i, 59?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4884*o - 101 - 98 - 102 + 301 to c*o + k and give c.\nAnswer: -4884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29707325*c**2*q**2 - 7*c*q**2 + 158*c*q - 14*c - 3*q**2 - 2*q + 2 wrt c?\nAnswer: -59414650*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -8*q - 60. Solve 19 = -q*d + 3*d + 5*b, 0 = -5*d + 5*b - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 64*l + 450. Suppose -41 = 3*v - 5*y, -34*y + 6 = 2*v - 29*y. Give q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.05 (c) -1 (d) 3\/4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3964191?\nAnswer: 3, 7, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2186581\/458150 - 2\/20825. Let x be 32\/(-3) + 18\/27. What is the common denominator of b and 5\/x*(-58)\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.41 and -0.291266?\nAnswer: 1.118734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2202*j**3 + 48*j**2 - 150*j. Let i(h) = h**3 - 3*h**2 - 5*h. Let g(m) = -30*i(m) + r(m). What is the third derivative of g(p) wrt p?\nAnswer: 13032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1378 and 106.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m + 13*m + 2*m - 12*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 772\/555 + 1\/111. Which is bigger: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2909? (a) 8 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:50 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (0 + 0)) + -3 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/5 + 958*q**2\/5 + 36432*q\/5 + 66744 = 0.\nAnswer: -18, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*k. Suppose -g + u + 3*u - 2 = 0, -5*g - 5*u + 40 = 0. Solve 0 = 5*n - 3*n - 5*x + g, -2*n = -x - k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 + 144. Let k(w) be the third derivative of 1\/90*w**5 + 1\/360*w**6 + 0 + 0*w + 2*w**2 + l*w**3 + 1\/72*w**4. Suppose k(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-31)*j**(-2\/19)\/j)\/(j**22\/((j*j**(-42))\/j*j*j)) assuming j is positive.\nAnswer: j**(-1788\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, -370, -0.32928, 0.06?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g + 28*g + 4 = -4*l, -17 = 2*g + 3*l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*v**2\/7 + 30874398*v\/7 + 26478568107289\/7 = 0. What is v?\nAnswer: -5145733\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*h**2 - 3 - 86*h**2 - 47*h**2 to k + b*h**2 + n*h and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v - 2142 = -24*v. Suppose 0 = 4*n - v - 1494. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 14) to base 9\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 59 = 5. Suppose 0 = b*j - 12*j + 12. Solve -j*a = 5*y - 28, -4*y + 2*a + 8 = -2*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -22*j**2 + 120*j - 180. Let r(v) = -7*v**2 + 40*v - 60. Let f(i) = -2*m(i) + 7*r(i). Factor f(a).\nAnswer: -5*(a - 6)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**5 + 940*f**4 + 45090*f**3 + 83700*f**2 - 129735*f = 0.\nAnswer: -93, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = u + 28, 0 = -2*u + 12 - 8. Suppose 0 = x + x + b. Suppose -4*c - 24 = -4*l, -l - 47 = 2*c + 4*l. Sort -5, c, x in decreasing order.\nAnswer: x, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(7\/(-4))\/((-9)\/(-120)). Suppose -2*n = -5*d + 24 + b, 5*d - 82 = -4*n. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 3, v: 2, j: 3, p: 3, c: 1, y: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900 = -116*d + 2872 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - p - 10 = 0, 20*p + 14 = 17*p - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12116 + -22585. Let f = -5969 - t. Round f to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zdzzdzzddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(405)*-2*-3*-2 + -5)**2)*-2*-2 + 0.\nAnswer: 4320*sqrt(5) + 233364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11263, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 12, -73, -328, -831, -1660, -2893, -4608?\nAnswer: -6883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 7*s**2 + 19*s + 20. Let c be p(11). Let m be (-2)\/17 - 3325\/c*3. Calculate the highest common divisor of m and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 817, 3, 625?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 - -302. Sort -5, f, -3, -4, -1 in decreasing order.\nAnswer: f, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - y + 166 - 166.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-5*j + 4*j + 2*j) + (8 - 26 + 12)*(-1 + 1 + j) + 6*j + 3*j - 3*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97.7 - -94. Let s = q + 7. Let m = s + -3. Which is the smallest value? (a) m (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 157130, 157136, 157142, 157148?\n\"Answer: 6*l + 157124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2862 = -6*q + 8*q. Let o = -446 - q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -g + 2 - 0, 0 = -g - 3*k + 2. Suppose 4*r = -5*a + 42, g*r = a - r - 16. Let d = -3 + a. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -802 - -813. Let a = 10 + -5. Sort -4, a, n.\nAnswer: -4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/9*f**2 + 8\/9 + 4\/3*f = 0 for f.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-14382\nAnswer: -14382.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 6*g + 3*g)*(-g + g - 5*g**3) + (g + 3 - 3)*(-12*g**3 - 2*g**3 + g**3).\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17735 - -81?\nAnswer: 17826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*z. Suppose z = 3*d - 6*d. Solve d = 2*p + p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o**4 + 2 - 2*o**4 + 4*o**4 - o**4 + (-o**2 + o**2 + 3*o**2)*(-4*o - o**2 + 4*o))*(-2*o + 2*o + o + (3 + 2 - 6)*(4*o - o - o)).\nAnswer: 3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -0.38, 62, 663, 1\/4?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-310)\/532 - 1153950\/(-807765)?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 8 - 3. What is z in 3*z**3 + 11*z**2 + 3*z + 0*z - a*z**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 544 - 1051253?\nAnswer: -1050305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14277, 26863, 39475, 52125, 64825?\nAnswer: 77587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2831 - -4283. Suppose -p = -3*h + 1828548. What is h rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 less than -626\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25678 and 4160530?\nAnswer: 153939610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -p - 5. Suppose 3*o = -o + p. Suppose o*z + 187 = 5*t + 4*z, 2*t = -2*z + 78. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 580. Let c be l(-23). Is 558 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z - 270000 = 0. What is z rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -1\/96*m**4 + 2*m + 0 - 1\/480*m**6 + 1\/120*m**5 + m**2 + 0*m**3. Let h(j) be the first derivative of s(j). Factor h(o).\nAnswer: -o*(o - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*b**3*x**3 - 2*b**3*x**2 + 4*b**3*x - 21*x wrt x.\nAnswer: -234*b**3*x - 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 3*t - 12 + 3)*(2 - 3 + 3).\nAnswer: -6*t + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6868, 6861, 6888, 6967, 7116, 7353, 7696?\nAnswer: 8163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 5:45 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, s: 2, w: 3, h: 2, j: 5}. What is prob of picking 2 w and 1 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302452553.\nAnswer: 13, 23, 317, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 22 = 2*j, j - p - 3*p = 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + (sqrt(121) + 6*(sqrt(121) - (2*sqrt(121) + sqrt(121))) - sqrt(121)))\/(sqrt(132)\/sqrt(3)))**2.\nAnswer: 1331\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41722?\nAnswer: 2, 23, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3726, 7306, 13282, 21654, 32422, 45586?\nAnswer: 61146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 + -125. Suppose s = -2*r - 51708, -2*r = 4*s - z*s - 103392. Round s to the nearest 1000.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 12, 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -2*j**2 - 11*j - 21. Let q(m) = 2*m + 5. Suppose 3*i + 12 = -3*u, 0*u - 14 = u - i. Give u*q(t) - 4*v(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4495458, 4495457, 4495454, 4495449, 4495442, 4495433, 4495422?\n\"Answer: -i**2 + 2*i + 4495457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -94. Suppose -3*f = -15, 5*f - 46 = -3*c - 162. Is c smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1818539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*i + 66*i - 2358. Calculate the remainder when i is divided by 68.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from gqsssvgsvgvggg.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1344)\/(-408576))\/((-3)\/(-8))?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*(-8 - (-11)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*i**2 + 13*i**2 + 77*i**2 + (-2*i + 0 + 0)*((-1 + i + 1)*(2 + 1 - 1) - 3*i - 2*i + 4*i + 2 - 2 + 2*i).\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 16*s**2 + 25*s**2 - 3*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32439.561 - 32402. Round j to 1 decimal place.\nAnswer: 37.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/432 and 49\/35640?\nAnswer: 71280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 88*x - 87*x. Let j(z) = -3*z - 12. Let w be j(-10). Let g = x - w. Solve 2*s - a = -11, 3*s = -a - g*a - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from rrgeuueuugreeruuue?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, -4, 1, -67 in descending order.\nAnswer: 1, -4, -5, -12, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56628 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -14. Suppose 18 = x + l - w, 5*l = x - 30. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -97*v + 105. Let d be k(-18). Let u(l) = 1852*l - d*l - 2 + 0 + 0. Give u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 23\/2*k**2 + 9 + 13*k. Let l be p(5). Calculate the highest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167 + -1840\/11. Let d = -32\/77 - p. Is -1\/4 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -435174 or 21?\nAnswer: -435174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 42 = 31*y, 226*v = 443*v - 222*v + y - 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**5 - 2*y**5 - 4*y**5 + (y**2 + 0*y + 0*y)*(-2*y**3 - 2*y**3 + 2*y**3) + 72*y**5 + 30937*y**3 - 30937*y**3.\nAnswer: 68*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*b = 6*g - 8, -4*g + 5*b - 19 = 0. Calculate the common denominator of -115\/6 and 1 + g + (-147)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4668*w + 86 - 165 + 79.\nAnswer: 4668*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -18*z**3 + 21*z**2 + 13*z + 6. Let r(h) = -12*h**3 + 14*h**2 + 8*h + 4. What is 5*i(f) - 8*r(f)?\nAnswer: 6*f**3 - 7*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 140 - -4. Calculate the highest common factor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -0.1. Let w = 2\/55331 - 55339\/221324. Put w, 0.06, o, -5 in ascending order.\nAnswer: -5, w, 0.06, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*z + 17, -2 = h - 2*z + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(288)*-2)*2 + (sqrt(288) + (-1 + sqrt(288) + 2 - sqrt(288)) - (sqrt(288) + (sqrt(288) - -2*sqrt(288)))*-3))**2.\nAnswer: -1512*sqrt(2) + 23377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99045 divided by 8659?\nAnswer: -99045\/8659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 1, o: 3, k: 3, l: 3, q: 1}. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 - -237.397892.\nAnswer: 164.397892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v + v - 8)*(146*v**2 + 11*v**2 - 45*v**2).\nAnswer: 224*v**3 - 1008*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.037 or 54.95211?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - p**2 + p. Let x(u) = -136*u + 221 - 221 + 3*u**3 - 4*u**2 + 5*u**2. Let i(q) = 4*l(q) - x(q). What is the second derivative of i(h) wrt h?\nAnswer: -42*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 + 11 = -5*i, 3*x = -3*i. Is -1 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrffrrrfrfrrzrrzrrf. What is prob of sequence fzr?\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (-2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = s + 4*s - 30. What is the second smallest value in s, -51, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 3*k - 50, 2*t - 4*k = 3*t + 10. Let m be 14 + (16\/t - 18\/45). Solve -4 - m = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + r - 3 + (2*r - r + 0*r)*(-3 - 3 + 3) - r + 0*r + 2*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119\/(-119)*21\/6.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 297 - 283. Solve 7*i + p = 3*i - 3*r, r = 3*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1141.9 + -1208.9125. Let m = a + 67. Round m to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, w: 1, b: 1, i: 1, r: 1, h: 1}. What is prob of sequence wr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4567 = -11201. Let f = 3196 - d. Suppose -6*s - s = -f. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 12*c - 52. Let z be q(4). Calculate the common denominator of 52\/33 and ((-49)\/(-6))\/(2\/(z\/(-15))).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 3*a + 3*u + 275, 362 = 4*u + 142 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010110 - -11221?\nAnswer: 2022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 9. Calculate j(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 216*r**4 - 58*r**3\/3 - r + 296. What is the third derivative of o(s) wrt s?\nAnswer: 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-85 + -35 + (27 - -22))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2\/3 - 31015*x\/3 + 10338 = 0. Calculate x.\nAnswer: 1, 31014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = 9. Let i be (-33)\/11*(11\/d - 2). Let s be 2 - 0\/4 - (i - -2). Solve 0 = -2*z - z - o - 4, s*z + 20 = o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 1. Suppose -55 = 23*i - 952. What is the remainder when i is divided by t(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 - -265. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -581, -2253, -5565, -11063, -19293?\n\"Answer: -91*g**3 - g**2 + 62*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-340)\/45)\/(-34))\/(6\/(-12)*-4)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/15 - v**3\/2 - 2*v**2 - v. Let p(g) be the first derivative of m(g). What is the first derivative of p(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18724*i**2 - 32003*i**2 - 29167*i**2 + 16988*i**2.\nAnswer: -62906*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (320\/(-12))\/((-1)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 962293369 a multiple of 7535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k - 10. Let p(o) = -4*o + 8. Let g(c) = 4*h(c) + 5*p(c). Let q(d) = d. Calculate g(q(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*a - 3*c, 174*a + 2 = 172*a - 2*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x + 2*x**2 + 0*x**2 + 2*x**2 - 5*x**2.\nAnswer: -x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2 - 3264*g - 54853. Determine t(-17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45504 in 1, -2\/11, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 520052597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372724053?\nAnswer: 3, 13, 47, 203341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 22 = -2*a, 2*r - 3*a - 1 + 2 = 0. Sort 5, -2\/3, r, 0 in increasing order.\nAnswer: -2\/3, 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/412476 and 47\/2787.\nAnswer: 412476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 3. Let i be d(6). Let w = i + 8. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3 - -3)*8\/6. Suppose h*c + k - 1248 = 0, 3*k = -0*k. Is 21 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*k**3 + 3*k - 51*k**3 + k**4 + 1 - 4*k**2 + 22*k**3 as f*k**2 + b*k + l*k**3 + j*k**4 + w and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.475694 rounded to two dps?\nAnswer: -3.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*n**3 + 0*n + 0*n**2 - 2\/3*n**4.\nAnswer: -2*n**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -362.\nAnswer: 3982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121984.\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 0.019.\nAnswer: -0.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0049*-0.4\nAnswer: -0.00196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjs when three letters picked without replacement from sjjsjjjsjs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 240, 4580, 8920?\n\"Answer: 4340*y - 4100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 5*s**2 - 1194*s - 9313. Determine m(-8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-1 + 0 + 0). Calculate the remainder when (-920)\/(-24) + 2\/g is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 12 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*h + 4, -3 = 2*h - 4*y + 5. Let g(x) = -10*x - 4. Give g(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 5*c - 2. Let k(h) = 9*h**2 + 11*h + 6. Let f(d) = 2*k(d) + 5*t(d). Determine f(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:22 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbbb when four letters picked without replacement from {f: 15, b: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*sqrt(112).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.95747 + 0.54647. Let j = y + 27.3. What is j rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/341 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 558*r - 34. What are the prime factors of k(3)?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 3*t**2 + 409*t - 2360. What is s(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 4:38 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 869 divided by 185.\nAnswer: 869\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, q: 8, j: 2, k: 3}. Give prob of picking 2 u and 1 k.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788*u - 412*u + 104*u - 48224 = 0 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2457 in 736, -1\/2, 3\/7?\nAnswer: 736","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 + 24*y. Let f be w(12). Which is the closest to f? (a) 6 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.1 (c) 1\/3 (d) -4 (e) 4 (f) 26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 24*k + 23. Is x(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2149548 is divided by 542?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/303, -0.1, 0.2 in descending order.\nAnswer: 0.2, -4\/303, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -32.28. Let w = 0.38 - k. Which is the nearest to w? (a) -2\/21 (b) -1\/3 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**4 - 6*n**2 + 10*n + 6. Let z(a) = -a**4 - a**2 + a + 1. Let p(w) = r(w) - 6*z(w). What is the second derivative of p(i) wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, 18, -8 in ascending order.\nAnswer: -21, -8, -5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 - 2*p**2 + 1. What is o(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 26*d = -4, 44068*p - 5*d = 44070*p + 7 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Calculate the remainder when (-1)\/c + (-3208)\/(-32) is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8ca (base 14) to base 8\nAnswer: -3322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050425059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3992*c**2 + 3962*c + 30.\nAnswer: -2*(c - 1)*(1996*c + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/5 (b) 2\/11 (c) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (2 + -52 - (-27 + 14 + -4 + 10))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117594*c**2 + 81*c - 1030*c + 95*c.\nAnswer: -117594*c**2 - 854*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose 5*c - a - 510 = 2*a, -3*a = n. What are the prime factors of (-2)\/(-1 - c\/(-106))?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 8 + 40. Calculate the common denominator of ((-2)\/v)\/(9\/(-123)) and 47\/20 + (2 - 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4435\/42 - -211\/2. Which is the closest to 1? (a) r (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 = h. Let w be h*-1 + 6 + 0. Solve 0 = -w*c - 4*q - 10, c - 3*c = q + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/7, -16, -0.4, 1.42 in descending order.\nAnswer: 1.42, -0.4, -3\/7, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, a: 4, t: 2, l: 7, k: 1, z: 2}. Give prob of picking 2 t and 1 l.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 24 = -3*j, -4*q = 5*j - 25 - 43. Suppose -q*k + 9*k - 282 = 0. Let z = -78 - k. Calculate the lowest common multiple of 2 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.39*-0.31136\nAnswer: 0.1214304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -2.4, 642?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12\/88127 (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026 times 104.89?\nAnswer: -2.72714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -988*t + 19338. Give b(22).\nAnswer: -2398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*m - 7333 = 0, 9*m - 8*m = 4*l - 29277. Let b = -2 + 6. Let t(c) = c + 7319 - b*c - l. Give t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -70700 divided by -20\nAnswer: 3535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + ((sqrt(252) + sqrt(252)*2 - (sqrt(7) + sqrt(7) + 3*(sqrt(7) + 1)))*-5*-6*6)**2).\nAnswer: -231724824 + 15163200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d - 2 + 9*d - 2*d - 18*d + 6. Let b(m) = -13*m + 7. What is 4*b(r) - 9*g(r)?\nAnswer: 2*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18278327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 1112827 in descending order.\nAnswer: 1112827, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1533*g + 665320. What is m(434)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30878 divided by 916?\nAnswer: 15439\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -362*d**2 - 1084*d + 6 = 0. What is d?\nAnswer: -3, 1\/181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -735450, 1 in descending order.\nAnswer: 12, 1, -735450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12263485 and -16.\nAnswer: 196215760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 divided by 37865?\nAnswer: -237\/37865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -113\/6. Let x = 8.4 - -1.6. Let c = 8 - x. Which is greater: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 7*r - 18. Let c be i(-9). Let k(o) be the first derivative of 0*o**2 + 2 + c*o - 1\/3*o**3 - 1\/4*o**4. Factor k(h).\nAnswer: -h**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 + 3*s**4 + 0 + 3 - 9*s**2 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.45065873 and 177.02.\nAnswer: 177.47065873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 24. Let b be d(0). Solve -4*l + 2*q = -18, 3*l + 2*l = 4*q + b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + sqrt(44)\/sqrt(4)))**2.\nAnswer: 360*sqrt(11) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b = 5*b + 1911. Which is smaller: b or 4\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 5, m: 2}. What is prob of picking 1 m and 2 k?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 1. Let t(c) = -15*c**4 + 18*c**2 + 4. Let b(w) = -4*d(w) - t(w). What is the third derivative of b(a) wrt a?\nAnswer: 360*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647731716?\nAnswer: 2, 3, 4801, 11243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 1808 in descending order.\nAnswer: 1808, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 73 = r + 75, 5*g + r + 2 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 14 = 14*u + 5*j, -3*j - 21 = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzgwgwuguuf. Give prob of sequence zu.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2115 - 0.1992. Is h <= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -309 - -304. Which is the nearest to 4.6? (a) 5 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, 0.02, -2\/11, -3, 5, 950, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**4 - 2*s**4 + 2 + 2*s**4 + s**3 to u*s**2 + m*s + f*s**3 + r + g*s**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 9*q + 22. Let b(i) = i**3 + i**2 + 2*i - 1. Calculate b(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -82 and -896.47.\nAnswer: -978.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-714)\/(-45) - (-42)\/315\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -72918660\/13 and -5609129 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1346 - 1345.7. Let i be (-66)\/(-15) + (-4)\/10. Let t be (1 - i) + (-8 - -11). Sort t, -5\/2, y in increasing order.\nAnswer: -5\/2, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/15, 656, -1.22?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 8, -123, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7197*i - 8145. Let q be g(-6). What is q rounded to the nearest 1000?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 357*j**2 - j - 1. Let o = 405 - 406. Does 6 divide f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 412145, 412197, 412251, 412307, 412365?\n\"Answer: d**2 + 49*d + 412095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 63*w - 888. Let g be h(14). Let o(m) = -2*m**2 - 10*m + 4. What is o(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*i - 570*i - 9000 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 2*l**2 + l - 2. Let r be x(2). Suppose 62 = 5*y - k, -3*y + r*y + 2*k = -40. Solve -y = w - 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 8*r**2 + 5*r + 9. Let p be n(7). Let d(s) = -s**2 - 5*s - 3. Let h be d(p). Let x = -0.3 - -0.3. What is the third smallest value in 2, h, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30192, 120809, 271838, 483279, 755132?\nAnswer: 1087397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 5:50 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = -1626 + 3858. What is the greatest common divisor of 93 and t?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.2032 or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-312)*4\/182. Let s = r - 13523\/6084. Find the common denominator of (376\/(-364) + 1)*7\/(-4) and s.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*i + 19768, 8*s + 4*i = 3*s + 24706. What are the prime factors of s?\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from qhmppqrihhmpmqhi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29744649751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/12 and 2*-2 - 340\/(-16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*f**3*p*x + d*f*p + 11*d*p**2*x + 2*d*p**2 - 48*d*x + 13*f**3*p**2 wrt p.\nAnswer: 22*d*x + 4*d + 26*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and -840?\nAnswer: -1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1770 and (-449)\/(-3) - (-90)\/270?\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y = 7*y + 21*y - 4*v, 3*y + 4*v = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24604?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24 * -18425\nAnswer: 442200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3815079, 3815061, 3815033, 3814995?\n\"Answer: -5*g**2 - 3*g + 3815087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185225 and 38126475?\nAnswer: 5975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 696*n - 696*n - 269*n**2 as f*n + h*n**2 + u and give h.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 10*k + 13. Let b be c(-11). Let -5*f**b + f**2 + 2*f + f**3 + f**3 = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -4 - (-7 - 2). Let c = o - 7. What is the highest common factor of c and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111 in -1\/4, -1\/11, 245, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(((-18)\/15)\/2)\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2) + 5 + -1. Suppose -3*l + 17 = a, -l - 4*a = 2*l - 23. Solve -1 = 2*w + 3*o, -l*w + t*o + 17 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g. Let c(z) = 122249*z. What is c(b(t))?\nAnswer: 244498*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 473, 457, 431, 395, 349, 293, 227?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {q: 2, r: 3, z: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 10) to base 15.\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 852 and 56984\/67 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -384, 2, 0.1, 0.41, 0.06 in decreasing order.\nAnswer: 2, 0.41, 0.1, 0.06, -384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15434 + 2222543\/144. Find the common denominator of 5\/224 and l.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 112329676689?\nAnswer: 112329676685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 - 20*k**2 + 3*k + 2*k + 5*k**2.\nAnswer: -5*(k - 1)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.365 + 0.785. Let o = j - -6.6538. Round o to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 5 (c) -0.36 (d) 0.4 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.98 + -2.08. Which is the closest to d? (a) -3 (b) 0.11 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 168 + 230 = -146 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:50 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682, 2015, 3348?\nAnswer: 4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-5)))\/(f*f**(-5)))**(2\/7)*f**27*f*f*f**(-2\/5)\/f*f*f*f*(f*f**(5\/3))\/f*f*f assuming f is positive.\nAnswer: f**(3868\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -119*f - 49. Let j(w) = 10*w + 9. Let m(s) = 15*s + 14. Let x(a) = 8*j(a) - 5*m(a). Let b(q) = -4*t(q) - 98*x(q). Let o(y) = y. Give o(b(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (141*434\/(-254975))\/(2\/10)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10888 - 10846. Let x(f) = 141*f**2 + 21*f. Let d(r) = 14*r**2 + 2*r. Calculate u*d(a) - 4*x(a).\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -191 + 181. Suppose 2*q = h*i + 3976, -4*q + 8*i - 7*i = -7934. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18) + (8 - (-6266)\/(-234))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7105956*w**4 - 5*w**2 + 648950*w - 1.\nAnswer: -170542944*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -701, -560, -357, -62, 355?\n\"Answer: 5*l**3 + l**2 + 103*l - 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 14 = 2*z, -1195*l + 1198*l - 14 = 4*z + 28 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 15.83. Let q = r - 0.24. Let v = 0.4 - 1.4. Which is the third biggest value? (a) -1\/2 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 107, 10, 2\/5, -3, -2, -5, 1.7 in increasing order.\nAnswer: -5, -3, -2, 2\/5, 1.7, 10, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -6, 1\/4852 in decreasing order.\nAnswer: 1\/4852, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 973\/34 - 20701\/680. Calculate the common denominator of 1\/250 and v.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 335 + 2628 = 3*f, -2*f + 2*d + 1986 = 0. Suppose -2*b + f = 247. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.5 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 h when three letters picked without replacement from {h: 7, m: 9}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26364 is divided by 917?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1 - -27 - -2. Let b = m - 25. Let h(q) = -15*q**b + 2 + 16*q**2 - 2. Let r(k) = 16*k**2. Calculate r(h(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 964.7129 kilometers?\nAnswer: 96471290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) - sqrt(84)*-2))\/(-2*sqrt(14)\/sqrt(2) + sqrt(7)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 13 + 1 - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 1:25 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f = 26*f + 3692. What is the second derivative of f + 6*k + 11*k**3 - 923 wrt k?\nAnswer: 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 224 - 91. Calculate the remainder when a is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 2*a**3 - 51*a**2 - 13*a + 2. Is b(29) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78, 333, 784, 1437, 2298?\n\"Answer: m**3 + 92*m**2 - 28*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i + i)*(-2*i**3 - 3 + 3) + 1 - i**4 - 1 + (i - i - 2*i)*(4*i**3 + 0*i**3 - 3*i**3) + 4*i**4 - i**4 - 2*i**4.\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -5. Let j be (-3 - u)*1\/6. Let i = j + -1\/3. Put i, 3\/2, -3 in descending order.\nAnswer: 3\/2, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3*n - 8 = 0, 3*n = -4*a - 2*n - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*x**2 + n*x + 70*n - 57*x**4 - 2 wrt x.\nAnswer: 4*n*x + n - 228*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 686 and 1306508?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, -0.12.\nAnswer: -3, -0.3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 19*v = 178. What are the prime factors of v?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228852 divided by 8476?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j - 4 + 4*j - 1 - 2*j. What is the remainder when z(5) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*(19 - 1632\/88)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1135 and 0.167.\nAnswer: -189.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 1335065?\nAnswer: -1335060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3\/13 + 22*k**2\/13 + 1488*k\/13 - 4608\/13 = 0.\nAnswer: -24, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 573.1342 meters?\nAnswer: 573134200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4994 - 2495 - 52075*q - 2500.\nAnswer: -52075*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o + 5. Suppose -2*r + 16 + 14 = -5*l, -5*r + 41 = -4*l. Let t be (5 + -2)\/(o\/l). Solve 0 = t*x - 5*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23313 is divided by 686.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 13*d - 35*d + 14*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/303841725 and 56\/45.\nAnswer: 911525175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -34912260 to the nearest 100000.\nAnswer: -34900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24510 and 11855430?\nAnswer: 509783490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 1. Let z be (1 - 4)*(-1)\/3. Suppose -u + 12 - 18 = 0. Let h(m) = 3*m**3 + 8*m + 6. Calculate u*p(w) + z*h(w).\nAnswer: 3*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 724 (base 11) to base 16\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587447?\nAnswer: 3, 176383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 16*r + 1 = 0. Let l(c) = c**2 + 3*c + 4. Let z be l(-4). Let y = z + -4. Put r, -5, y in decreasing order.\nAnswer: y, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*j + 17*j + 33*j + 28*j + 44 - 2*j**2.\nAnswer: -2*(j - 11)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -186*n**3 - 111*n**2 + n wrt n.\nAnswer: -1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbb when four letters picked without replacement from {b: 11, g: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-468)\/(-7) + 1\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (9 - 3) - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 365638 and 728?\nAnswer: 1462552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/2*(-35)\/392*-7. Let k(q) be the second derivative of -7\/2*q**3 - j*q**4 - 2\/5*q**6 + 0 - 3\/2*q**2 - q - 39\/20*q**5. Suppose k(p) = 0. What is p?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - 4*b + 3. Let w = 17 + -5. What is the lowest common multiple of y(3) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20227 + 190. Is y at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.7, 40, 1, -0.4?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 149*t + 146. What is l(68)?\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.19 + -0.19. Let h = -15 + c. Which is greater: -2\/9 or h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) -36\/5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1083?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elccmcmucmmmcccucmcc. Give prob of sequence mlmu.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + -0.16. What is the second biggest value in 1, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 6*c**2 - 8*c + 6. Let d = -486 + 490. Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119532119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -27 (b) 10 (c) 68 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821491916?\nAnswer: 2, 7, 29338997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112439, -224924, -337441, -449990?\nAnswer: -562571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at most as big as -488\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 + 0*k**2 + 3*k**2 + (0 + 3 - 2)*((0*k + k + 0*k)*(3 + k - 3) + 2*k**2 - 4*k**2 + 3*k**2) + (0*k**2 + 2*k**2 - k**2)*(2 + 2 - 2).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w + 9. Let g = w - -6. Suppose 52 = 2*d - 2*z, -g*z + 0*z + 118 = 4*d. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 2 + -1 + sqrt(405) - (sqrt(405) + (sqrt(405) + -1 + 0 + sqrt(405) - sqrt(405)) + sqrt(405)))**2.\nAnswer: -36*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/9)*v)\/v)\/v**(-12) assuming v is positive.\nAnswer: v**(119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 363080027 to the power of 1\/3, to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149448 = 1959*s - 11792 + 21023 for s.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 64*h + 3 - 3 - 34*h - 44*h.\nAnswer: -142*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h = 0. Suppose -4*b + 35 - 11 = h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/53270 and 71\/60880.\nAnswer: 426160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 5, 33, 10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 4:56 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 3*x - 181*x**3 + 8*x - 15*x.\nAnswer: -181*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 19*c + 4. Let m be y(12). Let z = -239\/3 - m. Sort z, 3, -2, -0.4 in descending order.\nAnswer: 3, z, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*z - 206 - 227*z + 15*z**3 + 206 + 2*z**3 - z + z + (-z**2 + z - z)*(z - 2 + 2) in the form o*z**3 + h*z**2 + m + w*z and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/77 + 6837\/3080. Find the common denominator of k and 67\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.425568 minus 2880461?\nAnswer: -2880456.574432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 328?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1564*p - 63074 = -2598*p for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196171442 divided by -194.\nAnswer: -1011193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2370451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*s**3 + s**2 + 215*s**3 - 125*s**3 to the form g*s**2 + r*s + p + m*s**3 and give m.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -2\/5, -27406, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 4. Let v be c(-10). Suppose v*d - 20 = 2*d - 4*a, -2*d - 4*a + 10 = 0. Suppose -3*x = 2*s - 223, -s + d*x = 4*s - 620. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -253 (b) 3 (c) -12 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 14\/3*k**2 + 4\/3*k + 10\/3*k**3 = 0. Calculate k.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*d = -253 + 663 + 782 + 218 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*n = -161*n + 42*n + 3157 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -217, 0.6809?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*d - 26432 = 18548, -134976 = -3*g + 3*d. Let a = g - 5534552\/123. Calculate the common denominator of a and 5\/6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/10)\/(4\/10). Suppose -102 = -10*c + y*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-498006)\/(-8) + 69\/276 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3985*k = -3920*k - 124487 + 41742. What is the greatest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7130847 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:49 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*m - 3*m + 3*m)*(-2 + 3 - 3) + 2*m + 2 - 2 + 4*m - 4*m + 6*m)*(8*m**3 + 105*m**3 - 8*m**3) to t*m**2 + z*m + j*m**4 + h + q*m**3 and give j.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7310\/3 or -2437?\nAnswer: -7310\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2809, -3032, -3255, -3478?\n\"Answer: -223*r - 2586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((198\/44)\/((-12)\/(-8)))\/((-600)\/16)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 33, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11373 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: Factor 2*w**3\/5 - 148*w**2\/5 + 2738*w\/5.\nAnswer: 2*w*(w - 37)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -6 + ((-30)\/150)\/(2\/(-1930)) and 153?\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 13. Let h be y(6). Let j = 6 + h. Suppose 3*u - 16 = -4*b, -5*b - 8 = -b. Solve j*c + 4*t = u, 7 + 1 = -2*c + 4*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l - 8. Let s(z) = -3*z - 4. What is 13*s(j) - 6*w(j)?\nAnswer: -9*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a52 - -30602?\nAnswer: 31354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 127455 + 4?\nAnswer: 127460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*v**3*w**4 - v**3*w + 14*v**3 + 161*v*w**4 + 146*w - 1 wrt w.\nAnswer: -276*v**3*w**2 + 1932*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -14)\/(20\/6 + -3). Let c = -33 + y. Solve -4*u - 5 = -c*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l = -4*l - 24. Solve -2*s = l*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 410 - -4?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.622270009 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*r - 2*v - 12, 3*r + 5*v + 24 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-192)*((-1644)\/120 + 14)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**7\/56 - 3*n**6\/20 - 9*n**5\/20 - n**4\/2 + 10*n. Let l(u) = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110111010011111100000 - -101?\nAnswer: 10010110111010011111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34620 divided by 6924.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 13*g - 10. Let i(t) = -t**2 - 9*t - 7. Suppose 0 = 3*h - 1 - 8. Suppose 5 = -h*x + 50. Let l = -22 + x. What is l*i(z) + 5*n(z)?\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 9:24 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(18\/(-54))\/((-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 2*l - 39 - 2*l + 47 to the form b + k*l and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 17 - (-2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 469512 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 651208 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 11*b - 12. Calculate the greatest common factor of b and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42.94 and 10395963.6268?\nAnswer: 10396006.5668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 946090247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p = 123925 + 33214. What is the highest common divisor of 274 and p?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 68. Does 15 divide (-5)\/(100\/k + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/21 - (90\/(-21) + -4). Suppose 0 = -3*s + 4*h + 13, 9*s + i = 13*s + 4*h. Solve -w + 2*z = s*z + 3, 2*w - z = 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 67249.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6605.069 kilometers in nanometers?\nAnswer: 6605069000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**3 + 7. Let d(s) = 19*s**3 - 14. Calculate 2*d(g) + 5*w(g).\nAnswer: -7*g**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 681 and 222?\nAnswer: 50394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/4 of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*c - 66, -c = -0*c + 4*a + 6. Suppose f = -1, q + 4*f - f - 33 = 0. Calculate the remainder when q is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020022211221 (base 3) in base 16?\nAnswer: 2a723a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 8:15 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c - 28 = 2*c + 100 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1009\/105562?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i. Let u = -4 - -6. Suppose u = 5*p - 8. Let q(f) = 3*f**p - 3*f**2 - f**2. Determine q(r(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 77.96. Let u = 19237.5599915 - 19237.6. Let h = u + n. Round h to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.2 (c) 0 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41278783 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5000.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2\/9 (b) 3.2 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1310.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6339*u - 6342*u + 69 = -5*s, -2*s - 4*u + 118 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -3 + -2)*(-3)\/(-6). Let n = 4 + 11. Suppose 0 = -m*f - f + n. Calculate the highest common divisor of f and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/88 and -50\/20119?\nAnswer: 160952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -385, 3, -4\/7, -47\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - 1) + -4 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20*3*6\/15. Suppose 3*k - 5*z - s = 0, 5*k - 3*k = -2*z + 32. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**3 - 187*a**2 + 53*a - 27. Let n be t(-27). Solve n = -2*j + 47*o - 49*o + 12, -2*o = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2. Let n(u) be the first derivative of 0*u - 2 - 1\/2*u**2. What is n(f(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -48. Is 36 a factor of ((-1080)\/70)\/(f\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5 = 3*v, -4*m + 14*v = 11*v + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 0 + (-13)\/((-91)\/14). Solve -3*g = v - 0*g - 5, -g - 17 = f*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 104 + -1 - (-208)\/(-13). Solve -20*x + 7 = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 + 92. Suppose -2*k + 4*v = -2 - 4, -14 = -3*k + 5*v. Let o = k + g. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from cuwuzcwa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*v + 233*v + 403*v + 34*v**2 + 43*v - 10*v**3 + 2*v**3 wrt v?\nAnswer: -48*v + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4 + 6. Find the common denominator of -7\/3 and ((-1)\/i)\/((-5)\/(-2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 415. Calculate the remainder when m is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/11 + 510*i**3\/11 - 3486*i**2\/11 + 3442*i\/11 + 7440\/11 = 0. Calculate i.\nAnswer: -1, 3, 5, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6690 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 + 86*f + 14. Let n(k) = -2*k**2 + 29*k + 5. Give -4*g(x) + 11*n(x).\nAnswer: -2*x**2 - 25*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387 is divided by 59.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/sqrt(2) + -4*sqrt(325).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 483, 1315, 2709, 4671, 7207?\n\"Answer: v**3 + 275*v**2 + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15136.1 + -15136. Sort 288, -1, d, 1\/6 in ascending order.\nAnswer: -1, d, 1\/6, 288","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2753374675 + -47156\nAnswer: -2753421831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -5*l**2\/2 + 3*l + 31. Suppose 0 = 2*c - c - 2. Give p(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, j: 13}. What is prob of sequence jj?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 26 = -7*i, 44857*i - 44853*i + 7*f = 2*f + 65 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + (55 + -50)*(-1 - 3) + 6)*-5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 48.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24513176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-6))\/(-1)*(29260\/38)\/(-35)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2413460 and 280.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w - w - 3*w. Let h(j) = -7*j. Let b(p) = 10*p. Let m(a) = -5*b(a) - 7*h(a). Give m(k(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 + 388*a**4 + 33289*a**3 + 662288*a**2 + 1194540*a = 0. What is a?\nAnswer: -43, -30, -2, 0, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 1433152.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/14 + 106\/(-4). Let z be (-5)\/3*30\/o. Let k(n) = 3*n**2 + n - 2. Let u be k(z). What is the greatest common factor of u and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91320579 divided by 31479?\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 - s**3 + 3*s**3 - 170 + 170 - 25*s**3 + (-1 - 2 + 5)*(2*s**3 - 2*s**3 - 2*s**3) - 2*s**2 + 2*s**2 - 3*s**3.\nAnswer: -27*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 5) to base 13\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3*g + 20 = 0, 0 = -4*z + 4*g + 6 + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 55, 56, 57, 58?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 2. Let z be o(2). Let m(v) = -5*v + 3*v - 1 + 13*v**2 - 5*v**z. What is the remainder when m(-2) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*5\/15*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 11:57 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.24 + 25. Let d = 0.24 + z. Which is the nearest to -2\/7? (a) 14 (b) d (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -83860 + -8?\nAnswer: -83868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/7 (b) -4 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) + 388\/12. Calculate the greatest common divisor of 256 and a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, -3.4 in descending order.\nAnswer: 5, 2, -3.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17331409.336 take away 1.53?\nAnswer: 17331407.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12313332320 (base 4) in base 9?\nAnswer: 3346088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 7 = -3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqq when three letters picked without replacement from {q: 2, o: 8, d: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 473117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*g + 4 + 3 = 0, -3*w - 2*g = -12. Let d(n) = n**2 - 1178*n + 23161. Let a be d(20). Solve w*y - 3*m = -8, y + m = -2*y - a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*a - 177*a - 15 = 0, 10 = 2*d + 2*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.049\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234 (base 5) to base 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1135471782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 522, 561, 588, 597, 582?\n\"Answer: -j**3 + 46*j + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (12 - (15 - -43)) + 0 + -14.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 6:36 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.13 - 2.2. Let n = -0.299 - 0.071. Let v = o - n. What is v rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofooofo. What is prob of sequence off?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:32 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1352 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**4 + 3516*b**3 + 53253*b**2 + 192174*b + 142440 = 0.\nAnswer: -10, -4, -1, 1187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -5, 16, 5.\nAnswer: -5, -4, 0, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/36 and 1\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 5*q + (-49 + 19 + 24)*(2 - 1 + 2)*(2 - 2 - q) to the form r + x*q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 plus 187577.257?\nAnswer: 187577.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 17*b + 16. Let s(z) = -42*z - 39. Let y(u) = -12*r(u) - 5*s(u). Let h(w) = 25*w + 13. Let p be 4\/(-10) - (-528)\/20. Determine p*y(c) - 6*h(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 - 2*x + 1. Let m be y(1). Suppose 0 = -10*o + m*o + 20. Let k(i) = 2*i**2 + 2*i**2 + 2*i**2 - o*i**2. Let w(j) = 17*j**2. Give w(k(a)).\nAnswer: 17*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 6*c + 6. Let t(q) = 3*q**2 + 17*q + 19. Let w(g) = 7*f(g) - 2*t(g). Suppose j - 152 = -3*j. What is the remainder when j is divided by w(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76 + -2 + 3)*(6 - 5). Let p = t + 79. Suppose 2*y = p*y - 148. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70\/3 + x**3 - 33*x - 26\/3*x**2.\nAnswer: (x + 1)*(x + 2)*(3*x - 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, f: 3}. Give prob of sequence uf.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 29 + 4. Let x(s) = -3*s. Let w(q) = 0*q - 12*q + 4*q + 6*q. Determine d*x(f) + 6*w(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4151 divide 462122434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.213 + -0.453. What is the second biggest value in 0.2, -4\/5, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/2*(-12)\/(-9). Let m be (-4)\/j*(-3 + 0). Let u = m - -4. Solve -u*p + 0*p - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.055679 * 2.4\nAnswer: -0.1336296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Let g = l - -1. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 5:49 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, 0.06, -0.2 in decreasing order.\nAnswer: 202, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 1) + 21 + -3 + -17 + -17\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 26 - 29 = -15*a. Sort 7, 2, 3, a in decreasing order.\nAnswer: 7, a, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**2 + 41*z**2 - 47*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -u + 8, -2*u - 959*a + 953*a = 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v + 2*v + 5*v)*(6 + 1 - 4)*(-3*v + 4*v + v)*(5 - 5 + 1) to the form y*v**2 + q*v + w and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 6*p + 2. Let l be d(3). Suppose -z = -l*z + 2520. Let n be ((-14)\/6)\/(2\/(-24)). Calculate the highest common factor of n and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221686477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/62874 and 43\/583830?\nAnswer: 4086810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 14*y = 4*w - 7689, -5*w = -2*y - 9609. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 3*z + 20, 0 = 2*z - 10. What is the highest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 50*z**2 + 25*z. Let n(h) = -h**2 - h. What is -25*n(i) - r(i)?\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 41*b**2 - 587*b + 3553. Let y be h(6). What is the highest common divisor of y and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15880 is divided by 122?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4096\/3*q + 108*q**3 + 896\/3 + 1608*q**2.\nAnswer: 4*(q + 14)*(9*q + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 2. Suppose 5*y - 2 = 4*y. Suppose 2 - 6 = -y*s. Suppose -b + 12 = s*b. What is j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 100*x**2 - 14*x. Let p(i) = 298*i**2 - 47*i. Give -7*c(h) + 2*p(h).\nAnswer: -104*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 95548830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24603265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 744555654 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 1 - (3 - 2)\/1. Let x be j\/(-5 + (0 - -6)). Let o(m) = -m**3 - 3*m**2 - m + 1. Let c be o(-3). Solve 4*u - 5 = x*q, u = -4*q - c*u + 14 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-960)\/2800)\/(3\/(-56)) + -6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-4 + 7 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 21 + 63. Let p be 9\/x - (-81)\/7. Solve 5*v - 2*v = -p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**4\/g*g**(-1\/8)\/g*((g*g**(-2))\/g)**(-17\/5) assuming g is positive.\nAnswer: g**(347\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/24 + 9801\/(-972) - 26?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*m + 6 = 0. Suppose m = 5*c - 27. Solve -5*b + c*b - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 55. Let f be (0 + 1\/2)*p. Is 11*26*7\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -126 + 677?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1926*r**2 - 15*r**3 - 77*r + 642*r**2 + 641*r**2 + 5*r + 645*r**2 to z*r + q*r**3 + t + n*r**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/35 + 14\/35. Is h at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -154, -308, -462, -616, -770, -924?\n\"Answer: -154*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -5. Let s(l) = -l**3 + 3*l**2 - l + 1. Let u be s(2). Let z be 3 + -5 + 2 + -1 + u. Which is the nearest to z? (a) -4 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f - 1. Let p be k(-2). Let b = 9 - 29. Let v be (-2)\/b*8\/(-6). What is the third smallest value in 0.5, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13588*l**3 + 13592*l**3 - 27194*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xffabfbbddadffxxf. What is prob of picking 2 d and 2 f?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37a + -62793?\nAnswer: -62414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -600 - -4202\/7. What is the nearest to 0.01 in l, -8, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -4, -0.0945, -2, -3, 392?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20016\/(-45870)*(-10)\/8\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -321*c**4 - 846157*c**3\/4 + 849349*c**2\/4 + 847771*c\/2 + 330 = 0?\nAnswer: -660, -1, -1\/1284, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1704 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3625c1a (base 13) to base 11.\nAnswer: 951a8aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 2\/7 (c) 9\/2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 101, 175, 237, 281, 301?\n\"Answer: -o**3 + 81*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 + 5*n**3\/3 + 7*n**2\/2 - 3. Suppose 2*g + 65*o - 16 = 66*o, 46 = 5*g - 4*o. What is m(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 780 - 784. What is the nearest to 0 in 2, j, 3.6, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 2072?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 89.000000145. What is y rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3227*u + 590950 = -8592*u for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y - 308 = 40*y - 86*y + 4*q, -4*q - 92 = 2*y for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*d + 3*p + 2*p, 2*d = 3*p + 4. Is d < -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d = 2*z - 4, 3*d + 2*z - 14 = 0. Solve -2*k - 6 = -d*q, -q + 5 - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 1 - 3 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19808?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + 3*s + 0*s)*(2 + 3 - 3) - 17212 - 8215*s + 17212 to the form y*s + k and give y.\nAnswer: -8219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 4 = 3*u. Let t(m) be the second derivative of -1\/6*m**3 + 0 - 5*m - 3\/2*m**2. What is t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271122574 + -5.4?\nAnswer: 271122568.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10892 divided by 13619?\nAnswer: -10892\/13619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19809542 + -157.1858\nAnswer: -19809699.1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16638)\/81)\/47*(-1539)\/114?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-53)\/(1325\/150) - (-1 + 0). Which is the nearest to 0? (a) o (b) 148 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*y - 88815 = 292*y. Which is bigger: y or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1063?\nAnswer: 531.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 15*b + 109. Is q(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 + 1. Let g be y(-1). Let r = 6.463 + -0.063. Let x = 6 - r. Which is the third biggest value? (a) x (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 - 84. What is the second biggest value in -7, o, 0.3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 3285\/1091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50469 - 21213 = 4*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 52, 49, 44?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -523\/14 + 75\/2. Suppose -245 = 233*l - 264 - 913. Let p = 1\/38 + 9\/19. What is the smallest value in 2, p, l, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(280) - sqrt(280)*5) + sqrt(280))*5)\/sqrt(8))\/(sqrt(605) - -5*sqrt(605)*6).\nAnswer: -15*sqrt(7)\/341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -17533\nAnswer: 5\/17533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -150*x**3 + 8*x**2 + 27*x + 8. Let p(r) = 100*r**3 - 5*r**2 - 18*r - 5. Let o(w) = -8*p(w) - 5*y(w). Find the second derivative of o(c) wrt c.\nAnswer: -300*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 23*p - 22*p + 2*y, y = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 129062 times 0.05\nAnswer: 6453.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256) + (sqrt(256) - (sqrt(256)*3 + sqrt(256))))\/((2*sqrt(32) + sqrt(32))\/sqrt(4)).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:35 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/228)\/(-5*(-96)\/(-3200))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a + 581*a**2 + 582*a**2 - 1156*a**2 to p*a + v*a**2 + c and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**3*z - 7819575*r*x - 2*r*z - 61453*x - 202*z wrt r?\nAnswer: 3*r**2*z - 7819575*x - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 9*o**2 + 11*o + 12. Let i(q) = -3*q**2 + 2. Let v be i(-2). Let r be j(v). What is the nearest to r in 0, -3\/2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 e when four letters picked without replacement from xejqqqqqqqjdexqqmmqx.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1043 - 154?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.1399817 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*f**3 + 4*f**2 + 0*f**3 + 5*f**3 wrt f?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1255*m + 122429. Calculate v(-99).\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 - 3*z**4 + 2*z**3 - z**4 + 3*z**4 - z**4 + (3*z**3 + 4*z**3 - 5*z**3)*(-1 + 1 + 2*z) in the form v*z**2 + i + g*z**4 + c*z**3 + t*z and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r + 2*r - r**2 + 7 - 11*r + 2*r. Let t(c) = c + 6. Let k be t(-5). Let h be k*(-4)\/(-8)*-10. Determine j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022202011 (base 3) to base 9.\nAnswer: -38664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(-1*(sqrt(2) + 1) + -5 + sqrt(32)).\nAnswer: -120 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 237?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -382, -6, -3.\nAnswer: -382, -6, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**3 + 33*x**2 + 4*x + 3. Let v be u(-4). Suppose -1199 + 152 = -v*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*s - 1456041 = -1454341 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 5:32 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 66 + -12 + (-72 - -41)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 4119, 4, -4, -1\/5, 0.4 in increasing order.\nAnswer: -4, -1\/5, 0.4, 0.5, 4, 4119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11608976, -23217951, -34826926, -46435901, -58044876?\n\"Answer: -11608975*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/(16\/(-1952)). Let v = k - -388. List the prime factors of v.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31157?\nAnswer: 7, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -2, -2\/41, 0 in ascending order.\nAnswer: -2, -0.3, -2\/41, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137686780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by ((-218)\/(-10) - 2) + 9\/45.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*s + 184 = 0, 5*h + 3*s + 197 + 116 = 0. Which is the third biggest value? (a) -1 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 24*c**2. Let i(r) = 39*r - 138. Determine i(q(s)).\nAnswer: 936*s**2 - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/20 and 99\/792772.\nAnswer: 3963860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3127?\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -5. Let h be d\/35 + (-96)\/10. Calculate the common denominator of 31\/48 and ((-606)\/h)\/(48\/18).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6523*x - 114110 = 37147 + 93369 - 48936 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2, 4, 1, -5 in descending order.\nAnswer: 4, 1, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4377*i**2 - 8006*i**2 + 1286*i**2.\nAnswer: -2343*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1511*i**5 + 1299965*i**3 - 1299965*i**3 + (2 - i**2 - 2)*(-2 - 3*i**3 + 2).\nAnswer: 1514*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -147286, -147293, -147302, -147313, -147326?\n\"Answer: -p**2 - 4*p - 147281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906503284 a multiple of 10396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7737439 months in decades?\nAnswer: 0.0231145325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4978 - -5035. Solve -3*y = 5*r - 4, -r + 59 = y + z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118 - 19*c - 94 - 24.\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4 = 4*y - 15, 3*z + 1 = y. Suppose 7 = b + z. Solve 0 = 5*g - 2*g + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, 1, 0.0691?\nAnswer: 0.0691","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3257 = -107*u + 60 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 0)\/((-60)\/16 - -3). Let o = 12 + m. Solve d = -o*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.687461 decades?\nAnswer: 76.87461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0*y + 0*y - 2*y**3)*(-147 + 384 + 412) as s*y**3 + x + f*y + p*y**2 and give x.\nAnswer: 1298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3955 + 4157. What is the remainder when b is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267.3 * 0.1.\nAnswer: -26.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14952 (base 13) to base 9.\nAnswer: 58363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28147 and 18676860242.\nAnswer: 18676888389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-7) + (-2)\/2. Suppose 5*i + t = 4*i + o, 17 = -5*i + 3*t. Calculate the remainder when (0 - i) + 128\/8 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36081570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-100)\/15)\/5*3. Let t(x) be the third derivative of 9*x**4\/4 - 2*x**3\/3 + 2*x**2. Let v be t(o). What is v rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 71*s**2 - 69*s + 66. Calculate m(-70).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -71 - (1 + -6 - (35 - 55))?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2419079666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r + 26 - 33 = -129. Let l(g) be the second derivative of 1\/2*g**3 - 4*g + 0 - 2*g**r + 1\/3*g**4. Let y(j) = j**2 + j - 1. Calculate -l(u) + 2*y(u).\nAnswer: -2*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04746 - 0.04746. Which is the nearest to 44? (a) -0.1 (b) g (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -28\/17 (b) -3 (c) -3\/5 (d) 1.5 (e) 0.21 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2011*c + 34237. Calculate m(-17).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 36. Let r = -42 + 29. Let i be u(r). Suppose i*o = o. Which is greater: o or 1\/52?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 80 = 2*t, -4*j - 99 - 135 = -5*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: What is the second derivative of x**3 - 146*x**2 - 536*x - 2?\nAnswer: 6*x - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 573, 1297, 2331, 3687?\nAnswer: 5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 6*v - 3. Let u(q) = 13*q - 7 + 96*q**2 - 396*q**2 + 95*q**2 + 88*q**2 + 101*q**2. Determine 7*i(y) - 3*u(y).\nAnswer: -8*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 116135.068 rounded to the nearest 1000?\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvniptnitihvtnv. Give prob of sequence tpn.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2271.571.\nAnswer: -6814.713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 - -117.333.\nAnswer: 69.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9215930 divided by 6?\nAnswer: -4607965\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.5 (c) -80 (d) -3 (e) -1\/600 (f) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -11*x + 34. Solve -5*k = -i + 5 + 5, -2*i + 12 = -x*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 - a**2 + (-6*a + 4*a + 0*a)*(-4*a - a + 4*a))*(-39244 - 149*a + 39244).\nAnswer: -149*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 + 9*y**2 + 4074*y - 12222. Give f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 531\/12)*-8. Suppose 2*z = -3*z + x. Let a be (-6)\/(-2)*z\/18. Solve 2*c - 3 = -a, -4*v + c = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 12*h + 15. Let r be j(13). Let s = -4499 + 94412\/21. Calculate the common denominator of s and (-4)\/6 + r\/(-5).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 138 - 292 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 193397122861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/6 - 247*g**3\/6 + 3514*g**2\/3 + 3638*g\/3 = 0. What is g?\nAnswer: -1, 0, 34, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20642635 = q + 5417365. Round q to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 752 - 751.7. Which is the nearest to -1? (a) 0.06 (b) g (c) -3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*p - 21. Suppose 0*t - p*t + 274 = -2*a, -a = -4*t + 271. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*m**3 - 20*m**3 + 30*m**3.\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + 4*o)*(-2*o - 12*o + 3*o + (0 - 4 + 5)*(o - o + 2*o) + 2*o + 0*o + 0*o).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -212.039 (c) -1\/7 (d) -3 (e) 1 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**5 - 2*m**4 - 6*m**3 + m + 2. Let g(v) = 5*v**5 + 9*v**4 + 25*v**3 - v**2 - 3*v - 8. Let k = -28 + 10. Let o(p) = k*s(p) - 4*g(p). Factor o(y).\nAnswer: -2*(y - 2)*(y - 1)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) 2\/7 (c) -3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.05378 - 182?\nAnswer: -177.94622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 4288*g + 21490.\nAnswer: -2*(g - 5)*(g + 2149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + -1038)*2\/6. Let m = -334 - v. Calculate the greatest common divisor of m and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -30*l + 353. Let m(n) = -30*n + 359. Let a(u) = -3*m(u) + 4*y(u). Let s be a(11). Solve -1 = 2*z + 5*c - 5, -s*c = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 44437*m. Let r(z) = -z. Give r(k(d)).\nAnswer: -44437*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwwwbbwbbbwwbmbwbb. Give prob of picking 1 m and 1 b.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 806 is divided by 282.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 11\/15*m**3 - 1\/105*m**7 + 3\/25*m**5 - 3\/5*m**2 - 7\/15*m**4 + 1\/75*m**6 + 0 - 12*m. Suppose r(l) = 0. What is l?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16277 is divided by 16181.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23936 and 1360.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2676191?\nAnswer: 7, 17, 43, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 11:14 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/6*-8*(-150)\/(-4). Suppose -2*h + 5*i + 64 + 6 = 0, -2*h = -4*i - 68. Let a = 50 - h. Calculate the highest common factor of a and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j + 6. Let s(o) = o**2 + 6*o + 3. Let u be s(-6). Sort j, u, -4 in decreasing order.\nAnswer: u, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-2 - -3))\/(-1). Suppose 5*l = -4*r + 38, -2*l = -l + x*r + 2. Calculate the least common multiple of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - i + 3. Let n be g(0). Suppose 5*o - c - 116 = 0, n*o - 124 = -2*o - c. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -684, -3419, -8178, -14931, -23648, -34299, -46854, -61283?\n\"Answer: 5*t**3 - 1042*t**2 + 356*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1918, -7637, -17162, -30493, -47630, -68573?\n\"Answer: -1903*n**2 - 10*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 177170 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*i + 30*i + 1792 = 0. What is the tens digit of 2794\/154*(i\/4)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*y = 5*y + 15, -c + y - 39 = 0. Let w be (-255)\/c - (-4)\/(-14). Suppose 0 = -t + w*t - 264. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3\/6 + k. Let q(o) = -6*o**2. What is y(q(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.04 + -5. Let g = -0.04 + o. Let z = 183\/4 - 43. What is the closest to 1 in z, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 3*d**2 - d. Let x be p(3). Which is the nearest to 0? (a) -2 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 788 and 632.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -3*h - 49*m + 50*m, -58*h - 44 = -57*h - 3*m for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcl when three letters picked without replacement from llhdqdccqllh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 - 64*k**4 + k**2 + 61*k**4 - k**3 + k**3 - 2*k**4 + (2*k + 2*k**4 - 2*k)*(-2 + 1 + 3) - 2*k**2 + 2*k**4 + 2*k**2.\nAnswer: k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**11)\/(c\/(c*c**(1\/11))*c) assuming c is positive.\nAnswer: c**(122\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0 + 2*g - g**2 + 24 - 9. Is d(4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77827175.\nAnswer: 5, 3113087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from wbwbwww?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w + 2*w - 4*w - 135 - 6*w. What are the prime factors of z(-23)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v - 94. Determine p(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 35, -10 in descending order.\nAnswer: 35, 17, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210021 + 2021?\nAnswer: 212112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 13. Calculate the lowest common multiple of 8 and s(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40285249 is divided by 419638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9905867*o**6 + 4*o**2 + 12*o - 80182?\nAnswer: 1188704040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133806141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 58.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 38440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (-7)\/((-28)\/(-12)). Let k(q) = 5*q**3 - 3*q + 3. Let x(a) = 26*a**3 - 16*a + 16. Calculate b*x(o) + 16*k(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 10) + -202 + 225\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111 - -101?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 681, 1349, 2015, 2679, 3341, 4001, 4659?\nAnswer: 5315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 10:17 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 2*f + 0*f)*(-12 - 14 + 2 + 4) to l + n*f and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**2. Let l(g) be the first derivative of 0*g + 19 + 2\/3*g**3 + 0*g**2. What is l(p(d))?\nAnswer: 162*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -328.163 rounded to the nearest integer?\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5 = -2*f + 5*f, -4*s + f = -25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**6\/60 + w**5\/60 + w**4\/12 + w**3\/2 + w**2 - 348. What is h(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*p + 3*d - 59, -6 = 3*d. Let w be 400\/6 + 14\/p. Suppose -5*z = -15, -4*x - z + w = z. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1577*f**2*p**2 + 11*f**2 - 150*f*p + 120*p**2 wrt f.\nAnswer: -3154*p**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/6 and -92\/255.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 50 = 3*l. What is the units digit of 0 + -1 + (-3 - l - -284)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1179*o = 1187*o - 2379*o. Solve 3*x + 4*w + 15 = o, 25*w - 22*w + 4 = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 12) in base 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/108)\/(1\/((-27)\/3))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 7. Let l be (-284)\/(-14) - 4\/n. Suppose 3*v = -5 + l. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -25*w + 8*w + 15*w + 14. Let m be t(6). Solve -2*s = -2*c + 2, 3*s - m*c - 3*c = -11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 3*o**2 - 2*o - 13. What is the lowest common multiple of s(-3) and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjuqqjztujtztqmjtqt. What is prob of sequence ztjz?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 820581 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1320 + 1323 + 1319 - 3962 + 316*i**2.\nAnswer: 316*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**2. Suppose 0 = -4*w - 0 - 4. What is b(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4237*q**4 - q**3 - q**2 - 842.\nAnswer: -16948*q**3 - 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5190293.\nAnswer: 5190293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*c = -20, 5*c + 4 = -5*a - 6. Suppose -i + 3*i - 198 = -5*n, 0 = -5*i - a*n + 453. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/50*5\/4. What is the nearest to o in 2, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-178)\/(-3115))\/(2\/28)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 10 = 4*p. Let z be 2\/4 + (-18)\/p. List the prime factors of 0\/z - 2*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2416*g*m*t**3 + 20*g*t + 135*m*t**2 - 45*m*t + 2*t**3 wrt g?\nAnswer: -2416*m*t**3 + 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 24*c**4 + 2*c**3 + 2*c - 111. Let n(m) = 22*m**4 + 3*m**3 + 3*m - 109. Let h(s) = 3*a(s) - 2*n(s). What is the first derivative of h(x) wrt x?\nAnswer: 112*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 - 3 = 0. Suppose 4*b + 47 = -f + 181, 2*f = -d*b + 243. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 2 - 5*p)*(p - 2 + 2)*(2*p**2 + 0*p**2 + 0*p**2).\nAnswer: -12*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(539)*1 + 0 + sqrt(539) + (-4 + -2 + sqrt(539) - sqrt(539)) + sqrt(539))**2*5.\nAnswer: -2310*sqrt(11) + 24860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042192904 divided by -2?\nAnswer: -521096452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3940)\/(-1773)*(-216)\/(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 16*o + 3. Let a be k(-16). Suppose -a*g - 11180 = 4*f, -5*f = g - f + 3732. Let u = g - -6053. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77632 and 5344?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3830215079\/10068674 + -2\/457667. Let y = r - -380. What is the common denominator of y and 47\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 2165\/(-15))*3\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -12. What is the second derivative of -3*l - 2*l**3 + a*l**3 - 4*l**3 + 7*l wrt l?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b - 40*b + 18*b in the form y*b + i and give y.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 51*g - 28 = -54*g, -8*g + 28 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a meter in centimeters?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -21, -44, -77, -120, -173, -236?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -187990.2845 take away 0?\nAnswer: -187990.2845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 1, 9, -11251 in descending order.\nAnswer: 9, 1, -1, -3, -11251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 48 + -31?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 4\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32733 - -33052. What is the remainder when k is divided by 52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 59*d + 1939. What is the smallest common multiple of l(13) and 1968?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfyyyyyf. Give prob of picking 2 f.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 879 - 882.59. Let h = 0.41 - t. Which is the nearest to -4? (a) h (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 (base 5) in base 11?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -85. Let r be (4\/3)\/(2\/15). Solve r = m*q + 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31007?\nAnswer: 101, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 13. Let g = 18 + 3. Suppose 0*q - 5 = -q + 5*j, 2*q + j - g = 0. Give t(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68401698 to the nearest integer?\nAnswer: 8271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -37*x - 1. Let y be d(-1). Let r be -8*6\/(-24)*1. Let k be 49 + r - (-18)\/6. Calculate the greatest common factor of y and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {v: 7, y: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j**2 - 3*j + 3. Let w be m(-3). Let n = w - -84. Suppose 0 = 5*z + 3*a - 45, -7*a + 3*a = 0. Calculate the remainder when n is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 11*w**4\/12 + 5*w. Let j(p) be the third derivative of 0*p**3 + 0 + p**2 - 1\/30*p**5 + 0*p**4 + 0*p. Calculate k(j(z)).\nAnswer: 44*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.938 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -926, -1770, -2598, -3410, -4206, -4986, -5750?\nAnswer: -6498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t**3 - 2*t)*(-5*t**2 + t**2 + 5*t**2) - 3*t**5 + 0*t**5 + t**5 - 2*t**5 + 2*t - 2*t + (t**5 + t**5 - 4*t**5)*(2 + 2 - 6).\nAnswer: -t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-496)\/(-8432))\/((2\/8)\/(10\/(-8))).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 7. Let a be r(-10). Suppose -w = -3*w - 12. Let l = w + a. Sort -4, -5, l in increasing order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/12 and 37\/139182?\nAnswer: 278364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2, -2, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18850523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40049636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 376*q + 380.\nAnswer: -4*(q - 1)*(q + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 14 - q**2 + q**2.\nAnswer: q**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23 - 11*d - 38*d**3 + 9*d - 43 - 17 wrt d.\nAnswer: -114*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12022312320 (base 4) in base 7?\nAnswer: -16514160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 j, and 1 r when four letters picked without replacement from {r: 1, j: 2, w: 7}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/6)\/(-10)*9\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, -3, 3, -15 in descending order.\nAnswer: 3, 1, -3, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 768\/(-20))*(-450)\/12. Calculate the highest common factor of m and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 4*f - 221. Let u be b(-17). Suppose u = -16*h - 24*h + 10*h. Solve -5*s - x = -3, -3*s - 2*x = -h*s - 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 4. Let t be (-132)\/p - 18\/45. Suppose -2*q + t = -0*q - 4*m, 5*q = -3*m + 91. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 77\/2 of a meter?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/35*7\/28?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -6. Let u(h) = h**3 + 18*h**2 - 41*h - 16. Let m be u(-20). Suppose j = 2*v - m*v + 6. Solve -5*r = -v*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 5*k - 12, 0 = -87*v + 88*v + 5*k - 2 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.30857 litres?\nAnswer: 2308.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -109*x**6\/6 - x**3\/3 - 5*x**2\/2 - 56. What is the third derivative of v(m) wrt m?\nAnswer: -6540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-200)*(2 + -8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 4*z - z)*(623 - 3047 - 842 - 1528) in the form x + u*z and give u.\nAnswer: 9588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/4*(3 - 9). Let u = -279 - z. What is the units digit of 2\/(-6) - u\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12566.8000051289 + -12566.8. What is f rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 + 0 = 0. Suppose -5 + 145 = a*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829618 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q + 32*q + 2 = 0. Suppose -2*g - g = -q*c + 4, 3*g - 4*c + 8 = 0. Let d = -1\/4 + 11\/12. What is the closest to -2\/3 in -0.5, g, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*x**4 + 2*x**3 + 125*x**2 + 146722 wrt x?\nAnswer: 76*x**3 + 6*x**2 + 250*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 0 + 1 - d**3 + d + 1 + 1. Give x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d (base 16) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -5*m - 129 + 29 + 54, 2*m - 3*i = -2*m + 49 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000100011011010100011 - -101?\nAnswer: -101000100011011010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2614*l + 97181 - 97181 + 6483*l to the form f*l + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 + 1\/2*6. Let n be l\/4*(-1 + -1). Let r(k) = k**3 - 4*k**2 + k + 1. Let m be r(4). Solve 0 = -t + n*w + 13, -t + m*w + 11 = w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w - 4*d, 3*w - 2*d = d + 27. Suppose w*b + b = 12. Solve f = 5*l - 15, -l - 3 = -b*l - 4*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -63*o + 9. Let u(i) = -29*i + 4. Let a(m) = -6*h(m) + 13*u(m). Determine a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4696386359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375 a factor of 587024612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 85*f**2 - 8*f + 3. Let r(w) = -256*w**2 + 23*w - 8. Calculate -8*j(d) - 3*r(d).\nAnswer: 88*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/422729 or -7?\nAnswer: 6\/422729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6328 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6210*g - 2140. List the prime factors of b(-7).\nAnswer: 2, 5, 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 6 - 3)*(1 + 1 + 1)*(0*n**3 + 0*n**3 - 3*n**4) to the form m*n**2 + q + y*n**3 + p*n**4 + x*n and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1800.5 * -9.4.\nAnswer: -16924.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67805 + -18?\nAnswer: 677ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 479990 and 26040.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8452 by 5.\nAnswer: -8452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278376?\nAnswer: 2, 3, 7, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2179*h - 50 = -2184*h - 5*n, -4*h + 3*n + 12 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1 + 24 = -3*w, -3*w = 5*g - 49. Let p(j) = 2*j**3 - 3*j**2 - 3*j + 23. Is p(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 4 - (45 + -44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*((-63550)\/30)\/(-41)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3016, -11919, -26758, -47533, -74244, -106891?\nAnswer: -145474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-20)\/(-8))\/((-2)\/(-116))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -39*d**4\/8 + 83*d**3\/6 - 7*d**2 - 1. Find the first derivative of u(m) wrt m.\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - 6*d**2 + 2*d**2 - 3*d**4 + (4*d - 3*d + 0*d)*(-1 - 1 - 2)*(-12*d**3 + 5*d**3 + 2*d**3).\nAnswer: 19*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8 = -4*b + 2, -4*b = 2*p - 20. Solve 0*s + b*x = 2*s - 20, -5*s - x - 5 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sak when three letters picked without replacement from {v: 2, k: 1, s: 2, a: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11db (base 15) to base 8\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 168977 = 3*j - 919204, 4*j + 870564 = 4*q. Let t = 27638 - q. Round t to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -240, -436, -632, -828?\n\"Answer: -196*m - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514*t**2 - 690165*t + 690168*t + 836*t**2 to the form x + y*t + g*t**2 and give g.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z + 8. Let u = 360 - 360.201. Let o = 0.299 - u. Put 0.4, o, z, 0 in descending order.\nAnswer: o, 0.4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -75*v**3 - 73. Let y(m) = 25*m**3 + 24. Let h(x) = 3*c(x) + 8*y(x). Differentiate h(t) with respect to t.\nAnswer: -75*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -419050 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 57. Give t(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5 = k, 8*r - 2*k - 2 = 9*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*a**3*n**2 + 5572*a**3 + 43*n**2 + n wrt n?\nAnswer: 20*a**3*n + 86*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2)*(-7 - -4). Suppose 5*x + k*b - 15 = 18, -x - 3 = 3*b. Is -3*(-1545)\/x + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*h, w + 0*h + 4*h + 19 = 0. Calculate the lowest common multiple of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**5\/4 + 16753*b**4\/2 - 201013*b**3\/4 + 108878*b**2 - 100501*b + 33500 = 0.\nAnswer: 1, 2, 33500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43985 - 21992. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-24)\/16)\/((-15)\/(-20)))*-26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/26177 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m + 30. Suppose -2*b = -4*b + m. Suppose -59 = -3*r + 5*y + 4, b*y + 21 = r. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((-2 + 5 - 0) + -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4299.17 to the nearest ten.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 - (0 + 3 + -2). Calculate the smallest common multiple of 11 and (0 - d)\/(3 + -1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(627)*1)\/sqrt(11))\/((sqrt(12) + sqrt(3) + sqrt(3))*2) + 6*6*sqrt(475)*6.\nAnswer: 8641*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/33 - 198992\/(-176)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*j + 15 = -0*s, -5*j = 5. Suppose -s - 5 = -4*b + 3*r, -5*b - 4*r + 28 = 0. Suppose b + 1 = -n. What is the third smallest value in n, 3\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4187 and 39962?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/18*(-1)\/12*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -4) + (-16 - 73) + 28 - -16?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 62267 - 62280 = -3*i, i - 3*h = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 1, o: 4, h: 8}. What is prob of sequence oh?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 12*k**3 - k**2 - 6*k - 2. Calculate o(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -419227 <= -419228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**5\/5 + 97*n**4\/5 + 78*n**3\/5 - 436*n**2 - 6232*n\/5 - 960 = 0.\nAnswer: -2, 25\/4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1023952*c - 5119754. What is w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Let w be s\/(-9)*(0 + (-2)\/(-4)). Suppose -k - 4*g = -2, k - 2 = -w*k + 2*g. Solve y = -k*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3044659722.\nAnswer: 2, 3, 13, 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 958451520 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19914*r**6 - 234*r**2 - 18*r wrt r?\nAnswer: 2389680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-63))\/((-372)\/(-651))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of c**6\/120 - c**5\/60 + 2*c**3\/3 + 387*c**2. Let s(r) = 2*r**3 - 2*r**2 + 7. Give 3*s(k) - 5*x(k).\nAnswer: k**3 - k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)*l*l\/l**6*l)**35*l**4*l**4\/l*l*l*l**0*l**2 assuming l is positive.\nAnswer: l**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 376*s**2 + 2019*s - 4275. Determine n(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 194 + -202 - (-1 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-615)\/(-5) + 6\/(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(15\/9) - 5515\/1835. Which is the smallest value? (a) 0.3 (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(-1*(sqrt(720) + 1 + sqrt(720))**2 - ((2 + sqrt(720))**2 + sqrt(720) + 0)) + -5).\nAnswer: 1296*sqrt(5) + 43245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (-26 + 106 - 15)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/20 - v**4\/4 + v**3\/3 + v**2\/2 - 3*v. Let q = 23 - 21. Calculate r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzh when three letters picked without replacement from zzhhzwdwzzhzwzswz.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 17*o**2 + 28*o + 121. What are the prime factors of t(20)?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 50?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -132665 - -475312. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 + (-86)\/(-32))\/1 and (-2 - 0) + (-30)\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*(-1)\/35 - (-4486)\/10. Let f = -177 + c. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + i + 228 = 2*m, 5*m - 3*i - 569 = 0. What is the remainder when m is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/10 + 513\/(-95). Is 17 a factor of (-4075)\/10*w\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -77, -144, -249, -398, -597, -852, -1169?\n\"Answer: -t**3 - 10*t**2 + 2*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2667.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lalclccal. Give prob of picking 1 a and 1 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-1)\/(-1))*-39. Calculate the greatest common factor of u and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-60)\/(-100))\/((-1)\/(-5)). Suppose -z - i*z + n + 460 = 0, -3*n = -5*z + 575. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 1989*r.\nAnswer: -3*r*(r - 663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/4 + 43*w\/4 - 153\/2 = 0.\nAnswer: 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -7157.\nAnswer: -28628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7189421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (2 + sqrt(28))*3 - (sqrt(252)\/(sqrt(24)\/sqrt(2)))\/(sqrt(9)\/(sqrt(3) - (sqrt(3) - (sqrt(3) + -1*sqrt(3)) - sqrt(3)))))**2.\nAnswer: -400 - 100*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - (95 - -8)) + (-3465)\/(-77)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/68)\/((-50)\/(-15))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3724 = -86*f - 117*f + 3*f - 21524 for f.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5756*m**4 + 6721 wrt m?\nAnswer: -23024*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -176*m**2 - 22*m + 8. Let f(c) = -117*c**2 - 14*c + 5. Let y(q) = -8*f(q) + 5*w(q). Factor y(t).\nAnswer: 2*t*(28*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*y - 3*k - 24, -k - 4 = 0. Let w be (22\/10)\/((-1)\/y). Is w less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 28*b**2 - b - 7. Let u be x(-3). What is the highest common divisor of 31 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2197*a*n**2 + 31175*a wrt n.\nAnswer: -4394*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or -2572?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 182 = 13*m. Solve -4*c - 6 = -m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 669310 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 - 18 = -n, 16 = -n + 4*t. Let z be 1\/(-3)*(-3 + n). Solve -2*a - z + 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (631\/(-3155))\/((-1)\/3)*230\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - ((6 - 2) + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:34 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3988, -2, 127, 140?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7249 or 3.8?\nAnswer: -7249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 4*t + 3*t**3 - 4*t.\nAnswer: 3*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 22. Suppose j - 6*j = 4*o - 29, 3*o - b = j. Calculate the smallest common multiple of o and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/225)\/(28\/126*(-273)\/35).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1654189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -553, -600, 325, 2708, 7035, 13792, 23465, 36540?\nAnswer: 53503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100020122 (base 3) to base 9.\nAnswer: 40218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -188, 3, -3 in descending order.\nAnswer: 3, 0, -2, -3, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/12 + (-78)\/(-8). Solve -10 - q = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107.74 + 5.96. Let x = p + -114. Sort 5\/9, x, 0 in increasing order.\nAnswer: x, 0, 5\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 73220.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Suppose m + 317 = s*r, -4*r = -3*m + 45 - 952. What is the units digit of (8\/(-6))\/(9\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-627)\/110 - 3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujujjzu. Give prob of picking 1 z, 1 j, and 1 u.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -867.1396\nAnswer: 3468.5584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 29, -5423 in increasing order.\nAnswer: -5423, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + (10 + -4 - -9) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375.8969 decades to millennia.\nAnswer: 3.758969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 125926266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100*q**3 + 4*q - 2831*q**2 - 2*q + 2961*q**2 wrt q.\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202151 is divided by 107.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-8) - 2)\/((-26)\/156)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13*w**2 + 5*w - 16. Let y be (6 - ((-2)\/(-4) - -2))*-4 + 5. Let u(s) = -3*s**2 - s + 4. Determine y*u(b) - 2*x(b).\nAnswer: b**2 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 3*d**4 - d**2 - 3*d**3 - 32 - 275*d - 270*d + 545*d as y*d**2 + x*d**3 + s*d**4 + c + w*d and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 10*t + 56. What is the least common multiple of z(-4) and (-66)\/(-8) - 3\/(-4)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/1)\/(5\/(-5)). Find the third derivative of -2*i**6 - s*i**2 - 13*i**2 + 25*i**2 wrt i.\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1138898741 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 14*p**2\/5 + 112*p\/5 - 96\/5.\nAnswer: -2*(p - 4)*(p - 1)*(p + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 1:58 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 179361976.\nAnswer: 179361976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200331 (base 4) in base 2?\nAnswer: -1100000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 1281\/10, 0.014, -4?\nAnswer: 1281\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 a factor of 1013572464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/3 - 13\/(-39). Suppose -236 = -2*f + 2*b, 0*f - 319 = -v*f - 4*b. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 + 9*u + 8. Let m be h(-7). Which is bigger: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -219452, -877798, -1975042, -3511184, -5486224?\n\"Answer: -219449*k**2 + k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1153*u - n + 15 = 1158*u, -3*u - 3 = 3*n. Let m(p) = 4 + 3*p + 5*p**2 - 3*p + 7*p. Let r(i) = -i**2 - 1. What is u*r(y) + m(y)?\nAnswer: y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 272185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 352534578*m**3 - 422128853 wrt m?\nAnswer: 1057603734*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/37 in -92, -0.042, -1, 0.4?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = 14 + 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -167 by -367662.\nAnswer: 167\/367662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 2565?\nAnswer: 20520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -872?\nAnswer: -1\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 19881, -3, -1, -3\/118?\nAnswer: -3\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (186 - 59 + 41)*(-4*a - 9*a + 25*a)*(1 - 4 + 1) to the form w*a + p and give w.\nAnswer: -4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 21)*(2 + 0 - 1)*(5*k - k - 2*k) - 9*k - 2*k + 2*k.\nAnswer: -65*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:02 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*-12*12\/192\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.1 + 12. Let u = k + 0.10000026. Round u to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 7)*(27*t - 41*t + 19*t).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + t - 2*t + (0 + 0 + 2)*(6*t - 3*t - 4*t) - t - t + 3*t - 1 - 2*t + 1 + (0*t + 0*t - 3*t)*(-7 + 1 + 2) to q*t + b and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 932*g**4*x - 588*x wrt g?\nAnswer: 3728*g**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.81904625 to four dps.\nAnswer: 4.819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9874711727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1161528.94 to the nearest 100.\nAnswer: -1161500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 36*m = -206 + 206 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*y**3 - 5*y**2 + 5*y**2 + y**3 + 2*y**2 - 2*y**2 + 2*y - y**3 - 2*y + 5*y**3 - 4*y**3 - 3*y**3 + (4 - 3 - 2)*(-y**3 - 2*y**3 + 2*y**3).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -123766896 divided by 59\nAnswer: -2097744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -664 + 1385. Let z = 1061881\/1448 - 1940\/181. Let t = z - n. What is the common denominator of t and -69\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1238*d + 50 + 1241*d + 111.\nAnswer: 3*d + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 1:06 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1812941\/78 + (-2)\/(-12). Suppose t - 5*t - 3*o = -r, -5*t + 29060 = 5*o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/158496 and -65\/32.\nAnswer: 158496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -511 - -790. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -13656.12785.\nAnswer: -13651.12785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kliebln. Give prob of picking 1 n and 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p, 9*p + 7 = -8*k + 11*p - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32734422 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + o + 6. Let l(i) = -1. Calculate b(q) + 6*l(q).\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -5, 2, 33 in decreasing order.\nAnswer: 122, 33, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0*n**4 + 3*n**3 + 2*n**4 + n**3 + 0*n**3 to j*n + b*n**2 + v*n**3 + h + i*n**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 19953?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 71 = 5*x, -3*x + x = 2. Let n = -3934 - -15821\/4. Find the common denominator of n and 24\/k*(-1)\/8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*z + 12*z - 42*z - 98*z.\nAnswer: -210*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h**(1\/3)*h)\/h)\/h)**(-39))**(-30))**27 assuming h is positive.\nAnswer: h**10530","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6 - (-5)\/(-2). Suppose q + 3 = 2*q + 4*j, -2*q = 3*j + 4. Let t(u) = u**2 + 6*u + 2. Let d be t(q). Put l, d, -1 in descending order.\nAnswer: -1, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2\/8 - (-33)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10236.8 to the nearest ten.\nAnswer: -10240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 2 - 20*h + 1 - 3*h in the form d + o*h and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**8\/6720 + m**6\/360 - m**5\/120 + 5*m**4\/24 - 4*m**2. Let q(d) be the second derivative of r(d). What is q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -13. Let a(k) = k**3 + 7*k**2 - 10*k - 12. Let g be a(b). Let x(y) = 7*y - 8. Let h be x(2). Solve h = 3*p, 19 = g*n + 5*p - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - 4. Let o(i) = -5*i + 2. What is the remainder when o(s) is divided by (-32)\/6*6\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3360 + -1267. What are the prime factors of r?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 20*g - 16*g - 459, -3*g + 1875 = 4*v. Suppose -480*y = -v*y - 45. Solve y*t - 37 = 5*d + 2*t, -4*d - 28 = -2*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226 - -237. Suppose 0 = -o + 3*w + 12, -3*o + 2 = -5*w - 26. Let a(u) = -o + 6 - 4*u + v*u. Determine a(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 97. Let h be (2 + 38\/(-6))\/((-1)\/u). Let b(l) = 16*l**2 + l - 1. Let o be b(2). What is the highest common factor of o and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18705, 18656, 18611, 18570, 18533, 18500?\n\"Answer: 2*t**2 - 55*t + 18758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.536 - 0.036. Let g = -44.5 - t. Let r = 50.97 + g. What is the closest to 0.1 in r, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129012307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -1\/24*w**8 + 0*w + 53\/420*w**6 + 8\/21*w**3 + 0 - 53\/105*w**5 - 1\/21*w**4 - w**2 + 2\/15*w**7. Suppose t(c) = 0. Calculate c.\nAnswer: -1, -2\/7, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*o + 20, -2*o = 5*w - 4*o + 19. Suppose -d = 4*d. Let r = d - w. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -0.4, 2.5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4612?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 + 1776*s**4 + 193508*s**3 - 815320*s**2 - 1387008*s + 2007040 = 0. What is s?\nAnswer: -224, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sef when three letters picked without replacement from sef.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 7*o**2 + 8*o - 3. Let c be w(-8). Let k be (3 - c)*21154\/3. Let r = 99692 + k. Round r to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2069 + -2085.1. Let h = 4 + 12. Let l = h + z. Sort l, -15, -5 in increasing order.\nAnswer: -15, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + p - 7 = 10, -3*j - 5*p + 55 = 0. Let m = 20 - j. Suppose -6*n + 15 = -3*n, -5*c - m*n = -5. Sort 3, 5, c.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -535906971 rounded to the nearest 1000000?\nAnswer: -536000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**3\/4 + 9159*w**2\/2 + 18452091*w + 14846845506 = 0.\nAnswer: -1478, 9062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 87*y - 41*y = 156 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 + 9*o**2 - o + 21. What is b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60940.5 nanograms in kilograms?\nAnswer: 0.0000000609405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.991 + 15. Let t = -33 - -33.019. Let l = f - t. Which is the second smallest value? (a) 3\/2 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + 9. List the prime factors of -10*(z\/(-5) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w - 3*d + 30 = 0, 0 = -2*w - 2*d + 60. Suppose l - 11*l + w = 0. Let v(a) = -2*a - 7. Calculate the least common multiple of v(-8) and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 2. Let g = 24 - 22. Let z be w(g). Suppose -3*s = 5*f - 6, -3*f - 8 = -z*s - 0*f. Is s at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29, -5, 4, -6, 9 in ascending order.\nAnswer: -29, -6, -5, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5\/4*k**2 - 15\/2 + 25\/4*k = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -1048743?\nAnswer: -1048735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-59744303996831\nAnswer: -59744303996831.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -0.152.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -2 in descending order.\nAnswer: 10, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/2042 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178 + 107 + 9*a - 7*a + 136 - 556.\nAnswer: 2*a - 135","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 10:05 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 147*l**2 + 9*l - 9. Suppose 45*q = 32*q + 13. What is the hundreds digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12342*w - 18070 = -11190*w + 30314 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 2*q + 7. Let j be b(3). Let m(c) = c**3 - 9*c + 2. Let p be m(j). What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -376.00000275 + 376. Round r to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2 + 10*l**3 + 12*l**3 + 2*l**3 - 3*l. Let h be y(1). Suppose 2*g - 243 = -h. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*h + 16. Let a(f) = -f**3 + 11*f**2 - 8*f - 5. Does 6 divide a(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = 7*y + 40. Solve -y = n + 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, c: 5, u: 1, i: 1, q: 1, j: 2}. Give prob of picking 1 u and 3 f.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42148409 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67735061, -135470121, -203205179, -270940235, -338675289?\nAnswer: -406410341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - 4. Let y(t) = t**2 + t. Let u be y(-2). Let r = u - 5. Give l(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316843 is divided by 3224.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8362 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -506*p - 194814. Determine f(-385).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 207\/5. Let y(b) = -95*b**2. Let c be y(-1). Let o = c + 667\/7. Which is bigger: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**4\/13 + 82*p**3\/13 + 114264*p**2\/13 - 575352*p\/13 - 4123872\/13 = 0.\nAnswer: -222, -4, 9, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3999 - 3982. What is the closest to -1 in -6, 3\/2, z?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 2*f + 4. Let b(x) = -2*x**2 - x**2 + 0 - 3 - 2 - 3*x. Let m(w) = -4*b(w) - 6*q(w). What is the first derivative of m(u) wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 27210*u + 108920.\nAnswer: -5*(u - 5446)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*j + 464 - 464)*(j + 2*j + 2*j).\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 22*k + 31*k - 6*k in the form r*k + m and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699647601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 3 (c) -5 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/50702 and 7\/8?\nAnswer: 202808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m - 5*t = -35, -2*m - 4*t = -22. Suppose -3*q + 65 = -m*p, -25 = -3*q - 0*p - 5*p. Solve q = -y - 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -6?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-6))\/(3*8\/(-36)). What is the smallest value in -0.8, 0.2, s?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -3, -57?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y\/y**3)\/y)\/y)\/y**0*y**(1\/12)\/y*y**0*y assuming y is positive.\nAnswer: y**(-35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 1 - 3 + 6 + (-1 + 6 - 4)*(f + 0 + 0).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -20. Let x(m) = -2*m - 46. Let d be x(-24). Suppose h = d*l + 10, 2*h - y = -3*h + 4*l. Is h at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*a - 4915 = -56*a + 5*l, a - 971 = 5*l. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*d - 3*t + 7, -t = 3*d - 5. Let v(r) = 6*r**2 + r - 1. Let p(h) = -h**2 - h - 1. Let z(l) = d*v(l) + 5*p(l). Calculate z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2415474 divided by 89462.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 13.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, 4.2, -116 in increasing order.\nAnswer: -116, -0.5, 3, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 272 - -14?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d = -15. Let f = 8 - d. Let a(j) = j**2 + 4*j - 5. Let k be a(f). What is the greatest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**3 + 2024*m**2 - 40740*m = 0. What is m?\nAnswer: 0, 21, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 427 - 716. Let q = t - -526. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26142.\nAnswer: 2, 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*90\/(-15). Let t be h*33\/(-9)*-1. Let w be (20\/2)\/((-2)\/(-11)). Calculate the greatest common factor of w and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.32 - 0.32. Let n = -7.6 + 19.4. Let d = n + -10.8. Sort -0.4, 1\/4, d, w.\nAnswer: -0.4, w, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwmr when four letters picked without replacement from mmrrw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -1)*(-1)\/(-2). Let d = x - 3. Let j(q) = -4*q + 1. Is j(d) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 4. Let x(o) = -o**3 + 39*o**2 - 68*o - 216. Calculate the lowest common multiple of y(-7) and x(37).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1750406 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*w**4 - 169475*w**3 + 3733772*w**2 wrt w?\nAnswer: -240*w - 1016850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2074*z + 2002*z + 2671225 - 526561 = 0. What are the prime factors of z?\nAnswer: 3, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, f: 4, c: 7}. What is prob of sequence bff?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 3) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -932 (c) -5 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6 - 11 + y**3 + 8 + 6*y + 8*y**2. Let o be a(-8). What is o rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n - 3*n + n)*(-2 + 1 + 0) - 13*n - 217*n - 35*n in the form o + z*n and give z.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**5\/20 - 9*z**4\/4 + 9*z**3\/2 - 8*z**2 - 9*z - 19. Let n(s) be the first derivative of v(s). Is 9 a factor of n(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + s**2 + 20. Let f be v(0). Suppose 0*j - 2*j + f = -4*w, 0 = -3*j - 4*w - 20. Suppose -3*i + 31 = k, 94 = 4*k - j*i + 2*i. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 196978 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1302)\/10 + (-1)\/5. Let x = d + 130. Let g be ((-2)\/(-4))\/((-3)\/12). Which is the closest to x? (a) 3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -167 - -3388. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**6\/30 + d**4\/6 + 9*d + 8. Let x(u) be the first derivative of b(u). Find the third derivative of x(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*p + f, -5*p + 57 = 25*f - 22*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) + (sqrt(25) - -1*sqrt(25))\/sqrt(5)) - (-5 + -3 + 3*sqrt(17)).\nAnswer: -8*sqrt(17)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, y: 2}. What is prob of picking 2 j?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/18 and 91\/1062?\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**3\/9 - 110*b**2\/3 + 436*b\/3 - 4774. Suppose v(s) = 0. Calculate s.\nAnswer: 2, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**5\/5 - q**2\/2 + 14*q. Let t be i(1). Let -4*m**5 - 10*m + 3*m**t + 5*m**3 + 6*m = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 63*w**2 + 12*w + 4. Let l(f) = f**2 + 2*f + 1. Give -4*l(r) + m(r).\nAnswer: 59*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 10. Let d be 1*c - (-3 + 3). What is the highest common divisor of 6 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -0*v + v - 16, 1 = -2*v + 3*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3, 0.3, -7, -0.013, -880 in decreasing order.\nAnswer: 3, 1\/3, 0.3, -0.013, -7, -880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/7, -42 in increasing order.\nAnswer: -42, -0.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-5))\/((-3)\/(-15)). Let h be 48\/21 + s\/14. Let b(a) = -4001*a + 2. Let t be b(h). What is t rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 19*u**2 + u. Let g(z) = 60879*z - 5. Calculate g(w(b)).\nAnswer: 1156701*b**2 + 60879*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 702\/5 + -20338\/145. Let w(m) = -2*m**2 + 9*m - 1. Find the common denominator of j and w(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1260*k - 601*k + 610*k as l*k + t and give l.\nAnswer: 1269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1382921)\/(-391) - -13) + 2\/17. Calculate the greatest common factor of 200 and f.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yss when three letters picked without replacement from {s: 3, y: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -7 - 0) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - -2) + 8\/1. Let h(q) = -5*q + 4. Let d(o) = -o - 6*o - 2*o + 7. Suppose -n + 3*r - 2 = 0, -4*r - 3 = -n - 2. Determine n*h(x) + y*d(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - o**3 + 5*o**3 + (2*o - 5*o + 5*o)*(-4*o**2 + 2*o**2 + 3*o**2) - 8869 + 8869 - 534*o**3 + o**3 - 3 + 3.\nAnswer: -529*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21284, -42593, -63904, -85217, -106532, -127849?\n\"Answer: -c**2 - 21306*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 10848.931.\nAnswer: 10849.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46243 + 40753 = -30*j. Calculate the highest common factor of j and 793.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 46 + 367. Suppose 4*x = -8*r + 7*r + z, 4*x - r = 109. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -8. Which is bigger: x or -3\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11.924343 milliseconds?\nAnswer: 0.0000033123175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 2:57 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 2, t: 4, q: 1, u: 1}. What is prob of sequence td?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/6404754 and -80\/51.\nAnswer: 108880818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 8*w - 4. List the prime factors of x(-7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(48)*2 + -2)**2 - (sqrt(384)*3 + sqrt(24))\/sqrt(8)) + -2).\nAnswer: -90*sqrt(3) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159a0 (base 12) to base 4.\nAnswer: 13201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*w - 3. Suppose 5*n - 10 = 5*z, 5*n = w*z + n + 6. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2990 and 66980186?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2 + 3*y**2 - 6*y**3 + 2*y**2 + y - 3*y**2 + 20*y**3. Let r be k(1). Suppose -2*j = -2*s + s - 111, r = -3*s. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 1515 + 1452 = 3*a, 3*t - 5*a = 97 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b15 + -3?\nAnswer: b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -n + 2*n + 30, 4*j = -4*n - 108. Let o = -2 - n. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119013120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17987715312296\/17097 - 1052097755. Let x = y + 117\/139. Calculate the common denominator of -37\/12 and x.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 1. Let i be q(-3). Put 5, 0.1, i in decreasing order.\nAnswer: i, 5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let i = -0.32 - -0.3. Let z = i + d. What is z rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82762411 and 4846.\nAnswer: 2423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.8961, 2685, 2?\nAnswer: 0.8961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040 and 3566175.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -85*u + 80*u - 40, 0 = -4*u - 3*o - 21. Let h = -4 - -9. Sort 4, u, h, -2 in descending order.\nAnswer: h, 4, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 7*h - 5. Let d be (1*-6)\/1 + 0. Let s be f(d). Let t = -576 + 8642\/15. What is the nearest to s in 3, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000181 to 7 dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 179453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25b27a - 15b?\nAnswer: -25b419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.8, 38?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1 + 3 - n - 1. Suppose -18 = h + 2*h. What is the units digit of u(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18)\/(11\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 82*q - 10865 = 26949. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 5*d + 6 = -6*w, -w + 2 = 7*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 60*p - 29. Suppose 0*m - 3*m + 4*y + 4 = 0, -5*m + 26 = 3*y. Is v(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.1 - -1.1. Let h = -12 - k. Let a = -0.939 - 0.061. What is the closest to a in h, 5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 293*b**2. Let z(c) = -14936*c**2. Calculate z(q(v)).\nAnswer: -1282240664*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:45 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1838 times 0.1\nAnswer: 183.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*98\/56*(-15)\/35 + -3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-12)\/(-40) - (-233425)\/250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 305 and 3599.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 + (-1017)\/1704. Let t = -1156 - -82078\/71. Let l = h - t. Which is the second biggest value? (a) 0.1 (b) 1\/6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25350346 at least as big as -25350337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355714 (base 9) in base 6?\nAnswer: -23551534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 438\/24 + (-2)\/8. Let n(z) be the second derivative of -z**3 - 3*z**2 + 84*z. Let g be n(-10). Calculate the greatest common divisor of i and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t + 2. Let r be a(-1). What is v in v - 7*v - v - 14*v**2 - 4 - r*v = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -127\/8. Let q(j) = j + 7. Let y be q(-5). Suppose y*w = 2*u - 6, 5*w + 2*u + 3*u = 15. Is r less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 - 17*z. Let o(a) = -a**2 - 4*a. Let t(w) = 6*i(w) - 26*o(w). Let r be t(-7). Calculate the highest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -359*s + 60. Suppose 0 = -23*u + 4*u - 380. Let c be p(u). Round c to the nearest 100.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53258 + 53260. Let d = -0.6 - 1.4. Let t = -1.8 - d. Which is the second biggest value? (a) t (b) -0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -10*a**3 - 5*a**2 + 3*a + 6. Is o(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 0, 55 in decreasing order.\nAnswer: 55, 7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 151290 and 636525?\nAnswer: 52195050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -3*b**2\/2 - 39*b - 24137. Let u(t) be the first derivative of -2*t**3\/3 - 2. What is n(u(q))?\nAnswer: 6*q**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499087.\nAnswer: 389, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 0 - (5 + 71). Let p be 12\/(-18) - w\/6. Is 4095\/p - 3\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -23. Let c = 17 - d. Solve -b = 2*b + c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by (7533\/(-372))\/(6\/(-8)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -245?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4173 divided by -1.\nAnswer: 4173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6702207 (base 8) to base 4\nAnswer: 12320102013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 766 is divided by 196.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 5*u - 1. Let z be f(5). Let p = 3 - z. Suppose 0 = -2*s + 2 + 6, -4*m + 5*s + p = 0. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/15, -365, -14, -76.4?\nAnswer: -76.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (2 + (-1)\/1). Suppose -z*f - 14 + 22 = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175 + -4.463719\nAnswer: -179.463719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i)**(15\/8)\/(i**(-8)\/(i*i*i**(-1\/10)*i)) assuming i is positive.\nAnswer: i**(361\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.086822 + 1.086. What is q rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 68\/12 - ((-6)\/9)\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51097 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 4*x + 2. Let g be u(1). Solve 3*d + g*d + 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 43. Let f be (-2)\/3 + (-68)\/a. Suppose -r + f = -54. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6620 and 101740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 12:06 PM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 70?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -y - 9. Let x = -0.45 - 0.05. What is the nearest to 0 in x, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/264)\/((-4)\/(-110)*10\/(-8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -65. Let t(i) = 2*i - 1. Let o be t(4). Let s(r) = r - 12. Let q be s(o). What is the third smallest value in -1\/2, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmal when four letters picked without replacement from lahmmhvtl.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -46 (c) -0.4 (d) -0.5 (e) 12\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c**5 - 140*c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + -12)*(-14)\/8. Suppose u = -5*s + 17. What is the remainder when -2 + -6*(-15)\/s is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87430137 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to -1\/184489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 159.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (523791\/126 - 20\/35)*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + k - 1. Let y be (-2 - -3 - -8) + -1. Suppose 0 = -8*v - y + 24. Let n(s) = -11*s**2 - s + 0 + 12*s**2 + 1. Give v*m(o) + n(o).\nAnswer: -o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -21854, -2288, -2, 2 in descending order.\nAnswer: 2, -2, -2288, -21854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101991624497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 13*r**2 + 2*r - 28. Let h be p(13). Let q(j) = -2*j**2 + 6 - 1 - 4 - j. Calculate q(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a gram in milligrams?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -i + 31, 2*i - 37 + 10 = 3*m. Let d(o) = -o**3 + 3*o - 9 + o + 6*o**2 - 2*o. Determine d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/70 and 29\/17080.\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 3*m**2 - 3*m + 2. What are the prime factors of q(-5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19794 * -0.4\nAnswer: 7917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Suppose 0*r - 2*r + 8 = -4*w, -4*r + u = -w. Suppose r = 3*l - 0*l - 6. Solve -l*x + 0*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 0\/(4\/2). Suppose -q*m + 12 = 2*m. Suppose -m*s + 33 = -0*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -547\/5 - -109. Let d(m) = -m + 2. Let y be d(3). Does y = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 1\/135*d**6 + 1\/9*d**2 + 0*d**5 + 0*d**3 + 0 - 1\/27*d**4 + 12*d. Find x such that b(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176.63562 to one dp.\nAnswer: 176.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 13*r - 6. What is the least common multiple of t(12) and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 - 2*z - 3. Let j be x(-4). Let k(n) = 0 - 1 - 4 + 4 + j*n - n**2. Let u = -581 + 588. Calculate k(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -2911\/30. Let u(r) be the second derivative of 0*r**2 - 1\/50*r**5 + 8*r + 1\/75*r**6 - o*r**4 + 0 + 1\/15*r**3. Factor u(p).\nAnswer: 2*p*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {u: 1, m: 4, w: 2, l: 2, a: 5, n: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = 4. Let j be (a\/6)\/((-4)\/(-354)). Let o = -95 + j. Do o and -69\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.29188 and 82.\nAnswer: 81.70812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, 5 in decreasing order.\nAnswer: 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048096181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -33, -2\/13 in increasing order.\nAnswer: -33, -2\/13, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*(-18)\/(-162)*-11*(-364)\/539.\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 + 522. Let a = h + -206.07. Is a greater than or equal to -2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*j**3 + 145*j**3 - 3*j + 4*j + 2*j**2 to c*j + i*j**3 + a*j**2 + q and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/132 - (-2)\/(-4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -343*a*f**2 - 58*a*f + 2*f**4*w - 8*f**3*w + 6*f*w - 3*f + 10 wrt f.\nAnswer: -686*a + 24*f**2*w - 48*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 22 + 25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i + 252. What is j(-13)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1987 - 8029\/4. Calculate the common denominator of (-2)\/(-11) + (-652)\/77 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 25*d**4\/3 + 110*d**3\/3 - 259*d**2\/3 - 116*d\/3 - 4 = 0?\nAnswer: -6, -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222200 - 10?\nAnswer: 222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and 1.66162?\nAnswer: 7.33838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125\/4 - 31. Let m = -7\/12 + u. Suppose 1 = -i - 3*s, 2*i + 10 = 5*s - 7*s. Which is the biggest value? (a) 1 (b) i (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 - 1292*h**4 + 102364*h**3 + 318812*h**2 + 5216*h - 425104 = 0. Calculate h.\nAnswer: -2, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (1 - 0) + -2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, 2\/37175, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22284 is divided by 18207?\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198494306 by 96263.\nAnswer: 2062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.1 in -2333, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) - 22\/152. Let v = -7.16 + 1.128. Let d = v - -0.032. Sort l, d, 5 in ascending order.\nAnswer: d, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2. Suppose -5*x + 10 = -15. Let g(t) = 8*t**2 + x - 10 + 5. What is g(p(q))?\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x**2 + 22*x - 22. Let q(u) = 9*u**2 + 7*u + 5. Let m(j) = -25*j**2 - 19*j - 14. Let n(i) = 4*m(i) + 11*q(i). Calculate l(s) - 22*n(s).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 0*v**2 + 1 + 0*v**3 - 1\/2*v**4 + v. Differentiate k(y) with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188253630*-3.\nAnswer: -564760890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3736*o - 3737*o - 9*j - 8, 3*j - 10 = -o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -8*p + 4. Let u be t(5). Let h = -11 - u. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -555\/1393 - 6\/199. What is the smallest value in m, 45, 2, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i = 463*i - 9325 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -3) + (-6 - -10). List the prime factors of 92\/2 + x\/(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.25491 * -1\nAnswer: 3.25491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1781.\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (1 + -1 + (-2 - -1)). Let o(y) be the first derivative of 0*y**p - 1\/2*y**4 + 0*y**2 + 2*y + 2. Differentiate o(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -26*t - 139. Calculate the remainder when i(-17) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783*h + 733*h = 66704 for h.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 29 + -1 + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224454 (base 6) to base 12.\nAnswer: -b12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3513 - 10537\/3. Which is the closest to 0.1? (a) j (b) 1\/3 (c) -4 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1282172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 805287.\nAnswer: 3, 7, 31, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a + 6*a + 3*a**2)*(3 - 3 + 10*a) as x + j*a**3 + n*a + f*a**2 and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1268 = -122*l + 1172 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukecwnc. Give prob of sequence ec.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 121*b**2 + 87*b - 12. Calculate x(-2).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3390, 4051, 4708, 5361?\nAnswer: 6010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-15) - 1)\/(2\/(-12)). Let v(u) = 7*u + 2. Let f be v(d). Let x be (3 + 0)\/((-9)\/f). Solve -q - x*q = -25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9389\/368 + -640\/23. What is the common denominator of x and 81\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 5. Let c be 90\/(-72)*(3 - (-1072)\/(-400)). What is the second smallest value in c, p, -6, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32292 is divided by 265.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 171023219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2 + 25*s + 14*s - 41*s + 5*s**2 + 3. Let t(y) = -y + 1. Let v be t(5). Is a(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18628 is divided by 1856?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 551668986 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 - r**2 + 9*r - 24. What is i(2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28212827.\nAnswer: 199, 141773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.01, -0.02, -0.3, -4\/7, 26?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 2, -46, 5, -1.672?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 3*l + 2*l - 32, -4*q - 3*l + 24 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 102*l**2 - 1072*l + 184. Give w(90).\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + 65. Suppose 4*y = v - 27. Which is greater: 38 or y?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16193680 divided by -10\nAnswer: 1619368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11182 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*w - 66 = 0, 2*w = -2*k + 10 + 26. Calculate the remainder when 42 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxpxxxxxxxx. What is prob of picking 1 x and 1 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -11*z**3 + 96*z**2 - 7*z + 243. Determine b(7).\nAnswer: 1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54202 - 9.9607866.\nAnswer: -54211.9607866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-8 + 8 - (-2 - 1)) + -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3912 + -2052. What is the greatest common divisor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 215 and 1.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4319 + 4319. Solve 4*q - h = q, c = 2*q - 2*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 360 = 7*h. Let u be h\/3 + (-3)\/(-3). Calculate the highest common divisor of u and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*a**3 - 26*a - 21*a + a**3 - 14*a to the form f*a**2 + o*a**3 + l + r*a and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 9:00 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3212, 3, 0, -4 in decreasing order.\nAnswer: 3212, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 1 + 24*o**2 + 12*o**3 + 87*o**4 + 94*o**4 + 93*o**4 - 273*o**4 to the form r*o + a*o**4 + x*o**3 + d*o**2 + s and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**3 + 0*z + 0*z)*(2*z + 5*z - z) + 6*z**4 - 2*z**4 - 3*z**4 in the form a + s*z + x*z**4 + p*z**2 + g*z**3 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 - 9*z + 4. Let m(n) = 3*n**2 - 8*n + 4. Let l = -9 - -13. Let b(k) = l*p(k) - 5*m(k). Determine b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 14. Solve 3*l = 2*k - 11, l + q = -5*k - 4*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in decades?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 25. Let o be d(23). Suppose -4 + o = 2*t. Suppose -116 = t*i - 22*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1410, -1355, -1284, -1191, -1070, -915, -720, -479?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/60498 and 77\/13444.\nAnswer: 120996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.55 - 1.55. What is the third smallest value in 0.1, -4\/7, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1720 + 1654 - (-21 + 1) - (1 - -8)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24831667 - 112246519 = -84*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 4*z + 4. Let p be d(-5). Is p\/((-2)\/(-226)*-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 6, v: 4, f: 6}. Give prob of sequence uvfu.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40791*1410.\nAnswer: -57515310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 0, -3 in descending order.\nAnswer: 29, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -7*g + 32 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 250115.8 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6362, -25359, -56986, -101243?\n\"Answer: -6315*k**2 - 52*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16216*h**3 + 176612*h?\nAnswer: -97296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1371.9 + -1372. What is the nearest to 2 in 0.1, -5, q, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 152*g. Let v(c) be the first derivative of 2\/3*c**3 + 0*c**2 + 0*c - 163. Give v(b(a)).\nAnswer: 46208*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 319 + -145. Suppose 5*b = 3*o + b + 209, 0 = 3*o + 3*b + w. Let d = o - -107. What is the smallest common multiple of d and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/25, -5\/2, 250?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/29 and 71\/644.\nAnswer: 18676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2 - 0. Suppose 0*z + z - q = -4*d, z - 6 = -3*d. Is 14 a factor of (0 - -1)*(z - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33693853?\nAnswer: 29, 1161857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/12)\/(55\/(-15)). Find k, given that -2\/11*k**4 - 6\/11*k**2 + i - 6\/11*k**5 + 2*k**3 - 16\/11*k = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/19795 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + y - 32 = 0, -4*y - 37 = -w - 0*y. Let h = -1 + w. Is h a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 11*b**2 + 10*b + 115. Let x be p(-11). Solve 5*w + x*s + 40 = -0*w, -4*s = 3*w + 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.57 + -2.5. Let u = z + -57.07. Let r = 58 + u. Which is smaller: r or 14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(-2*s**2 + 0*s**2 - s**2) + s**2 + 0*s + 0*s)*(1 + 0 - 3 + (2 - 2 - 4)*(-1 - 2 + 0) + 6 - 4 - 3).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-891)\/(-189) - 2\/(-7). Let d(p) = -3*p**3 - 8*p**2 - 4*p + 1. Let r(s) = 7*s**3 + 17*s**2 + 8*s - 2. Let z(o) = 9*d(o) + 4*r(o). Calculate z(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*q - 14, 9*q - 5*q - 91 = c. Let i(l) be the first derivative of 0*l - 2\/3*l**3 + 15\/2*l**2 + q. What is the second derivative of i(k) wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 432\/9*1\/3. Suppose -2*d + v = 2*d. Solve -d = -2*o + 6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-3\/7))\/c**8*((c*c\/c**6)\/c)\/c*c*c*c**(-4)*c*c)**(-47))**(5\/18) assuming c is positive.\nAnswer: c**(10340\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - 8. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Let y(n) be the third derivative of -n**4\/12 - 2*n**2. Let b(q) = q. Let g(d) = 4*b(d) + y(d). Give g(x(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-130)\/8))\/(4\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = 2*l. Sort -3, -9, l in descending order.\nAnswer: l, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -821.8 - -607. What is s rounded to the nearest ten?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 8 = 7*a. Suppose n = -0*y + 5*y + 4, 5*n - a*y = 20. Suppose 144 = n*p - 2*p. Calculate the greatest common divisor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 10 + 5)*(6 + c - 1 - 3)*(c - c + c).\nAnswer: 9*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + v + 6 = 2*c, 5*c + 3*v + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28434)\/(-12186)*2*-3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 12*f**2 + 17*f + 3. Let u be b(-13). Let o = u - -52. Solve 20 = 4*i + 4*g, -3*g + 8 = -2*i + o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020328 rounded to 7 dps?\nAnswer: 0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3348 divided by -124\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + u. Let r(z) be the third derivative of z**6\/120 + z**5\/12 + 5*z**4\/24 - z**3\/6 - 14*z**2 + 33. Calculate -15*d(n) + 3*r(n).\nAnswer: 3*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1809, 1829, 1849?\n\"Answer: 20*k + 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:36 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 126204 divided by -4\nAnswer: -31551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmnu when four letters picked without replacement from mnummnmmnnmmnudmmumd?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.272 * 5.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10352 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/106435087 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + l + 3 = 0, h = 2*h + 4*l. Let o = 72 + -77. What is the second biggest value in o, h, -1\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3383 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 + 1)*(1 - 1 - 1)*(31*z + 21*z - 13*z).\nAnswer: 234*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 3, f: 7, a: 6}. Give prob of sequence fvv.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -1 + sqrt(468) - sqrt(117)\/(sqrt(9)*1))**2 + -4 + (2 + (-2*sqrt(91))\/sqrt(7))**2.\nAnswer: -30*sqrt(13) + 1626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 6*n**2 + 2*n - 2. Let z(u) = u**2 - u + 4. Let m be z(2). What is a(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 2:46 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 5*f**2 - 7. Let a be m(3). Suppose a*n = 4*n + 3199. List the prime factors of n.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 11\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.154127 minutes to nanoseconds.\nAnswer: 369247620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(75\/1930) - 18\/3. What is the highest common divisor of q and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(612)*1 + 4))**2 + (-6*(sqrt(612) + sqrt(612)*-2 - sqrt(612)) - (0 + sqrt(612))*-1)**2.\nAnswer: 192*sqrt(17) + 105940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570041867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/12)\/c)**(-2\/27)\/(c\/c**(-16)*c*c*c**(-2\/35)*c*c))**(5\/14) assuming c is positive.\nAnswer: c**(-118291\/15876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10404.47 litres to millilitres.\nAnswer: 10404470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**8\/840 - 2*c**7\/175 + 11*c**6\/300 - c**5\/25 - 2*c**2 + 75. Solve h(s) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(3) + 2)*-6.\nAnswer: -36 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 5*s**2 + 15*s + 4. Calculate d(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*v = 4, 0 = b - 3*v - 17 + 1. Sort 162, 5, b in increasing order.\nAnswer: b, 5, 162","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4712510105.\nAnswer: 5, 31, 53, 573647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-56)\/5)*(-103 - 372) a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.530246797 rounded to four dps?\nAnswer: -1.5302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3038869?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.046*-2034.\nAnswer: 93.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 - 8*u + 11. Let n be i(6). Let o(z) = 2*z + 7. Let c be o(-7). Is n != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 37 + 0*b**2 + 30 + 0*b**2 - 68 - b**2. Let g(d) = -3*d**2 + 7*d - 6. What is -g(w) + 5*h(w)?\nAnswer: -2*w**2 - 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9978.8 + -9978.7999955291. What is y rounded to seven decimal places?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*h - 240, -b + 3*h = -6*b + 1085. Suppose -a + b = a. Let z = -10 - -20. What is the greatest common factor of z and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12365038229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v + 42. Let z be x(-4). Suppose z = -k + 10. Solve 0*y - 2*y + k*d = 12, 2*d = 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, -8, -3, -1\/6, 1\/1123?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -456406*m. Let p(r) = 27*r**2. What is x(p(v))?\nAnswer: -12322962*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -82 - -15 - (-14 + -2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (175\/(-315))\/((-10)\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/20*-1 + (-8)\/(-10). Let p = 446 + -14717\/33. Let d = 61\/165 + p. What is the nearest to l in -0.2, d, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/4 + 43263*d**2 - 3111048*d.\nAnswer: -3*d*(d - 57612)*(d - 72)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1)*1 + (sqrt(8) + 3 + sqrt(8))**2 - 3*(sqrt(1458) + 1).\nAnswer: -56*sqrt(2) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-6)\/2*(-4)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1256, -1223, -1190, -1157, -1124?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 8:20 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.087, -116, 2284?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*r + 5459992, 4*r - 1619994 - 200014 = -k. Round k to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 9:40 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55\/9 + -6. Let a = -0.2 - -0.1. Let y be (-1)\/5 - 21\/(-280). What is the closest to 1 in x, y, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 24. Suppose 0*v - s*o + 160 = 4*v, 3*o + 102 = 3*v. Let i = 24 - v. Which is smaller: i or -12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -3*n + 69, 0 = -262*r + 267*r + 3*n + 52. Let a(t) = 3*t**3 - t**2 + t - 1. Let j be a(1). Sort -1, r, j.\nAnswer: r, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.143 + -0.443. What is the second biggest value in q, -4, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2))**14\/((k\/(k*k*k\/k**(3\/2)*k))\/k**3))**(-2\/79))**(1\/4) assuming k is positive.\nAnswer: k**(47\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(-1*sqrt(4752) + sqrt(4752) + sqrt(4752)) + sqrt(4752))\/(sqrt(147) + -1*-3*sqrt(147) - sqrt(147)).\nAnswer: 3 + 12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 4*p + 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 14*l**2 + 16*l - 19. Let s be p(15). Let x be (-4 - -10) + s + 1797. Suppose -3*g - 2998 = -5*y, -4*g + 6*g + x = 3*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-205)\/(-10)*(-4)\/5*205\/82?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2\/17, -2\/3, 894, 2\/9, -23.\nAnswer: -23, -6, -2\/3, 2\/17, 2\/9, 894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 540 by 12.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29\/15 + -124\/15. Calculate the common denominator of t and -1 + -12 + 140910\/11000.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11902353 to 4 dps.\nAnswer: -0.119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 107 - 37. Let t(v) = v + 2. Let x(p) = 4*p - 8*p - 45 + 38. What is r*t(h) - 4*x(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*n - 23, -19*f + 15*f - 4*n = -24. What is the nearest to 3\/2 in -0.2, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -13\/120*v**6 - 11\/48*v**4 + 0*v**2 - 1\/168*v**7 + 0*v**3 - 23\/80*v**5 - 14 - 2*v. Let l(m) = 0. Calculate m.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 - -432\/5. Suppose 9*i = -146 + 137. Let d = 19.6 - 20. What is the biggest value in d, b, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 6*x - 4. Let f be k(-5). Let b(g) = 4*g**2 - 3*g - 4. Let p be b(-1). Factor 5*o**2 - 3*o**2 - f + p - 4*o.\nAnswer: 2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + -31.86. Let u = h + 30. Let w = 2 + u. What is the nearest to 1 in w, 0, -3\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 10:23 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/16 - 126\/720*65.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6440 or -875983\/136?\nAnswer: -875983\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 44*d - 1. Is 11 a factor of a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120482 - -120484. Let 0 + 32\/3*d - 4\/3*d**3 + 8\/3*d**a = 0. Calculate d.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - a?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -1)\/((-1)\/19). Let b = z - -30. Suppose -4*o = -3*r - 0 - 31, 0 = 5*r + 5. What is the highest common divisor of b and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1615 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.488 + -0.488. Let l = -25.9 - -29.9. Suppose 3*q + 0 = -4*p + 11, 0 = q + 3. Put p, a, l, 1 in ascending order.\nAnswer: 1, a, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/12)*a\/(a*(a*a*a**(-18)\/a)\/a))\/(a\/(((a\/a**(-45)*a)\/a)\/a)*a*a*a**39))**(-41) assuming a is positive.\nAnswer: a**(-10537\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/25 (b) 2 (c) -1\/4 (d) -0.2 (e) -1 (f) -93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272002 is divided by 162.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 + 1 = 0. Let m be (u - 4) + (-1 - -8). Suppose y + 0 - m = -q, 5 = 2*y - 5*q. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 62*c + 2478. Is v(33) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - p**2. Let n(b) = -b**5 + b**4 + 3*b**3 + b**2. Let k(c) = -2*a(c) - n(c). Solve k(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*x**4 - 209*c**2 + 3426323*x**4 - 72052 with respect to x.\nAnswer: -4*c**2*x**3 + 13705292*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 0.226.\nAnswer: 0.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -48 + 43 + (-2 - (2 - (2 - -102))). Solve -12 = 98*f - c*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*a**4 - a**3 - 102?\nAnswer: -204*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1274441*p - 3823326. Determine i(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206827026.\nAnswer: 2, 3, 7, 4924453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 18*l**3 - 2*l**2 + 69*l + 130. Give q(-2).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 7*x - 1. Let h(c) = -28*c + 170. Let y be h(x). Let q(g) = 3*g**2 - g. Let m be q(1). Solve j + j - 3*f = 10, y*f - m = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*r + 8865 = 1062*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1\/2, 82\/37, 2, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -525.999713 - -526. What is b rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66079.67 plus 1270399?\nAnswer: 1336478.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2908 + -5896.9. What is y rounded to the nearest 10?\nAnswer: -2990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3888238922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*p + 0)*(0 - 5 + 4)*(2 - 4 + 4)*(-23 + 50 - 30) as a + l*p and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35986 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -11234?\nAnswer: 11240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 19\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 1. Suppose 12*o = 11*o + 1. Let j be b(o). Let r be ((-6)\/(-5) + -1)*-6. Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803654, 1607329, 2411000, 3214667, 4018330?\nAnswer: 4821989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 13. Find the second derivative of v*f - 16*f - 9*f**2 + 2*f wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 444\/84 - 4\/14. Suppose x*o - 156 = 324. What is the remainder when 281 is divided by o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19 = 13. Calculate the greatest common factor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/210 - g**4\/42 - 8*g**3\/21 - 17*g**2. Factor o(h).\nAnswer: 2*(h - 4)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/3)*g**(1\/16) assuming g is positive.\nAnswer: g**(67\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 193778*r**4 + 3*r**2 + 6*r - 12698112?\nAnswer: 775112*r**3 + 6*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*a + 12354, a - 20602 = -27*w + 22*w. Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 8) to base 11\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 25\/12*g**4 - 18*g - 20*g**2 - 5\/2*g**3 + 0. Factor f(l).\nAnswer: 5*(l + 1)*(5*l - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6810410\/9 or 756711?\nAnswer: 6810410\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 2*k**2 - 3*k + (-96233 + 96233 + 185*k)*(-k - 2*k + 2*k) + 9*k - 9*k - 5*k**2 to the form p + l*k + r*k**2 and give r.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (52\/16510)\/((-1)\/(-5)). Let r(b) = -b**3 + 27*b**2 - 48*b - 49. Let p be r(25). Are h and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*u + 101 = 0, 3*u - 345 = -2*c - 99. Calculate the lowest common multiple of 21 and c.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - -24. Let u be 1 + 9 + (i - 7). Let z(v) = 7*v**2 - 8*v - 19. Let o(r) = -10*r**2 + 12*r + 28. Let t(g) = -5*o(g) - 7*z(g). What is t(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 387789, 387797, 387795, 387777, 387737, 387669?\n\"Answer: -h**3 + h**2 + 12*h + 387777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*w - 3 = -3. Which is bigger: 15\/482 or w?\nAnswer: 15\/482","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, s: 5, g: 1}. What is prob of sequence sgp?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from rdtttjxxzzdr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = -4. Suppose -3*b + b - 14 = -2*d, 0 = v*d + 3*b + 1. Suppose -4*u + 35 = -25. Solve -8*z + 27 = -3*z - d*w, -u = -4*z + w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208 + -165. Suppose 57*g = i*g + 14. What is the greatest common divisor of 19 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111100 - -1011100000010?\nAnswer: 1001111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-55)*3\/21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2698*n**4 - 141*n**3 - 1462657*n wrt n?\nAnswer: 32376*n**2 - 846*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/10 - (41160\/(-25) + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 + 3 - 3)*(0*d - 2*d + 0*d) + 158*d**4 + 338*d**4 - 203*d**4.\nAnswer: 297*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.1, 2, -10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177406, -178224, -179042, -179860?\nAnswer: -180678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 613, 157, 0 in descending order.\nAnswer: 613, 157, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 10*i**2 - 2*i**2)*(0*i**2 + 3*i**2 - 2*i**2)*(-98*i + 24*i - 63*i).\nAnswer: -822*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:31 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54105)\/(-18) + (-6)\/(-36). Let j = x + -1475. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1341 or -125480?\nAnswer: -125480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/154*7*(-9)\/(81\/(-114)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**3\/5 - 2229212*u**2\/5 - 31209179*u\/5 + 6687678 = 0.\nAnswer: -15, 1, 2229226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142635800.\nAnswer: 2, 5, 571, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 - -6 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 9:25 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*q**3*s**3 - 5*q**3*s**2 + 3*q**2*s**3 - 18*s**2 wrt s?\nAnswer: -174*q**3 + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a14b (base 12) to base 3.\nAnswer: 122202002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**33)\/(j\/j**(-33\/2))*(j**(4\/11))**(-24))**37 assuming j is positive.\nAnswer: j**(6327\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 63*w. Let a(m) = 4*m. Suppose 2*p - 36 = -38, -3*p = 5*l - 162. What is l*a(i) - 2*d(i)?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19657*j**3*z**3 + 3*j**3*z**2 - 56*j**3 + 362*j**2*z**3 + 3*j*z**3 - 6*z**2 - 221 wrt j?\nAnswer: -117942*z**3 + 18*z**2 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103\/220 + -3\/44. Let 8\/5*r**2 - 12\/5*r**3 - b*r - 2\/5*r**5 + 0 + 8\/5*r**4 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 7*k + k + 69*k**2.\nAnswer: 69*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45007.01 hours?\nAnswer: 162025236000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2319438704 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.574 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2672 - -2691. Solve 0 = 6*k - 7 + d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43561399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -69, -203, -409, -687?\n\"Answer: -36*f**2 - 26*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-14) - (8550\/266 - 33)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-330)*-6*(-122)\/(-61)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 - (0 - (-2 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**5 - 1 + 1180*w**6 - 14197*w + 172*w**2 - 2*w**4 + 3*w**5 + 389*w**6 + 14198*w wrt w.\nAnswer: 188280*w**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 < -2477\/74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = s - 4*h, 4*s = 4*h. Solve t - 3*j = -10, 0*t - s*j = -4*t - 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25350*p**2 - 226*p - 265286767?\nAnswer: 50700*p - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163939074?\nAnswer: 2, 3, 13, 41, 51263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -4*p, 4*k - 3*p = 2*k - 1. Let t(r) = -19*r + 2. Let w(b) = -3*b + 1. Let u(j) = t(j) - 3*w(j). What is u(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 16) in base 7?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*y + 23*y + 60 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -12 + 75. Let r(f) = f**2 - 10*f + 11. What are the prime factors of r(y)?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/2)\/(-1 - -2). Let d(b) be the third derivative of 5*b**4\/24 + 49*b**3\/2 + b**2 + 20. Let h be d(-29). Solve -z + l = h*l - q, -z + 2 = 4*l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 6*r - 10. Suppose -523 = -4*u - r*y - y, 3*u + y - 391 = 0. 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 value of (-38)\/4*(-31)\/(67146\/76)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cbbb + 12?\nAnswer: -cba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -222220023 (base 4) to base 11\nAnswer: -10a200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -10, 24, 86, 182, 318?\n\"Answer: i**3 + 5*i**2 - 10*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/2 + 3 + (68 - -3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 9*p**2 - 24*p - 32. Determine b(6).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2130320 (base 6) in base 8?\nAnswer: -315210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 78 = -5*i + 6*i, 5*v + 450 = 5*i. List the prime factors of i.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 16. Suppose 0 = 4*v - q*v + 68. Calculate the highest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -65*q**2 - 8604*q + 4917. What is j(-133)?\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 2*p + 2. Let g be v(-2). What is the second derivative of g*l + 4*l - 3*l**5 - 10*l wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - a**5 + 0*a**5 - 2*a**5 + 4*a**5 + (2*a - 4*a**2 - 2*a)*(2*a**3 + 0*a**3 - a**3) - a**5 - a**5 + 3*a**5 - a**5 + 2*a**5 + 2*a**5.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -229949*q**2 - 811582*q wrt q.\nAnswer: -459898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*j + 19, 1 = -2*b + b + 2*j. Let n(o) = o**3 - 6*o**2 - 9*o + 3. What is n(b)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3.64.\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - a**2 + 2*a + 1. Let h(i) = 13383*i**3 + 7435*i**2 - 14870*i - 7435. What is h(p) + 7435*y(p)?\nAnswer: -1487*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013720703 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -36310*w**3 - 42282*w + 164. Let i(x) = 5187*x**3 + 6040*x - 24. Let r(j) = -41*i(j) - 6*p(j). What is the second derivative of r(u) wrt u?\nAnswer: 31158*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkkdkdkdkkrdkccrco. What is prob of sequence orcr?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(6 + (5 + 7 - 8)). What is the second biggest value in s, -5, -44.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2707*m**4 + 3*m**3 - 3118*m + 3. Let p(r) = 5416*r**4 - 5*r**3 + 6231*r - 5. Let z(w) = -5*b(w) - 3*p(w). Find the second derivative of z(h) wrt h.\nAnswer: -32556*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597091 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 46540872 divided by 6\nAnswer: 7756812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**4*v**2 + 5*q**4*v - q**4 - 2*q**2*v**2 + q**2*v + 367*v**2 wrt q?\nAnswer: 72*q*v**2 + 120*q*v - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16461 - 19e5?\nAnswer: 1496b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -85\/421?\nAnswer: -85\/421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89031.56kg to tonnes.\nAnswer: 89.03156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*t + 504 = 0, 4*z - 4*t - 1000 = 2*z. Let h = 1165 - z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5684 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: What is the seventh root of 6328194 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 580e (base 15) in base 13?\nAnswer: 8678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.94544 days in nanoseconds?\nAnswer: 3537686016000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 4047*s - 11 = -4048*s, 0 = g - 2*s + 16 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - p**2 + p**2 + p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 2*r - 5*r = y - 1225 + 1257, -236 = 4*r + 11*y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 32 = 2*q + 3*q, 0 = -v - 5*q + 24. What is the first derivative of -77*l + 77*l - 3*l**v - 6 wrt l?\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 98 = 2*t. Let u(p) = p**2. Let g(v) = 5*v**2 - 4*v - 7. Let k(b) = -g(b) + 6*u(b). What is the remainder when t is divided by k(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 19*l - 9. Let c(j) = -j**2 + 10*j + 5. What is -11*c(g) - 6*p(g)?\nAnswer: 5*g**2 + 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6930136 rounded to the nearest ten thousand?\nAnswer: -6930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128123520 - 1072*m**3 - 128123520.\nAnswer: -1072*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 84336.5884 rounded to the nearest one thousand?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 39 - (147 - (-213 + 357))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 - v**4 - 15*v**4)*(1 + 5 - 4)*((-2*v - v + 2*v)*(2 - 1 - 3) + 2 - v - 2).\nAnswer: -38*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y*y)\/(y\/(y*y**(-2\/3)*y))*(y*y\/(y*y\/((y*y**(-5))\/y*y)*y))\/y**(-8))**38 assuming y is positive.\nAnswer: y**(152\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 6095 = 4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -34*d + 92. Let i be n(5). Let u = -58 - i. Calculate the remainder when 76 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 7:50 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25274 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 1 - 4)*-59. Suppose 0 = k*h - 74*h + 11655. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -8*h**5\/15 + 962*h**4\/15 - 1024*h**3\/5 + 3524*h**2\/15 - 328*h\/3 + 78\/5 = 0.\nAnswer: 1\/4, 1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.11 + 2.61. Which is the third biggest value? (a) 2\/15 (b) 0.1 (c) n (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 680513.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454 (base 11) to base 13.\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, y: 3, f: 2, c: 1, o: 1, g: 1}. What is prob of sequence hcgo?\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 56.7. Let h = -56.5 - v. What is the nearest to -1 in 0.2, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + -0.5. Let x = j - -1.3. Let p = x - -0.9. Which is the third smallest value? (a) 0.7 (b) p (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -106757?\nAnswer: 10675b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (sqrt(1573)*-2 + 2 - (((sqrt(1573) - (-4*(0 + sqrt(1573)) - sqrt(1573) - sqrt(1573)))**2 - sqrt(1573)) + sqrt(1573))).\nAnswer: -77074 - 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.3 - 5170.\nAnswer: -5159.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1887)\/(-374))\/(-37))\/((-1)\/2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**5 + 50*i**4 - 125*i**3 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 4*n - 1, -2*t - 3*n - 6 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 897962*m**2 + 897962*m**2 - 955*m**3.\nAnswer: -955*m**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u - 3*u - 2*u)*(3*u**4 - 3*u**4 - 2*u**4) - 9*u**5 - 17*u**5 + 44*u**5.\nAnswer: 48*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(11) + (2*sqrt(11)*2 - sqrt(11)).\nAnswer: 5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12956, 25870, 38752, 51602?\nAnswer: 64420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 17 = -3*n - 2*n, 2*j = 4*n + 26. Calculate the smallest common multiple of 12 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = 22*a + 93. Suppose -2*u + r + 24 = 3*r, 0 = 4*u + 5*r - 52. Find w, given that u - 8 + 15*w**3 - 10*w**5 + a*w**4 + 5*w**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/30*(5\/110)\/(25\/210).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 12. Let a = 2 + m. Is (1\/a)\/((-2)\/20) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 = -4*b, 5*b + 0*b - 4*j - 14 = 0. Suppose -3*r - 62 = -2*g + r, 3*g - 117 = -b*r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*q - 319 + 4, -5*l = 5*q - 565. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3562 + 3721 = 3*g. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-5 - -4)\/((-2)\/168)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 - -445. Suppose -p = -22*c - 4*c. Put c, -1, 3 in decreasing order.\nAnswer: c, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 13. Let p be 30\/l*(-2)\/(-5). What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o. Let q(i) = 2838*i - 5031. Let s(n) = -6*n + 13. Let w(c) = -q(c) - 387*s(c). Determine p(w(y)).\nAnswer: 3612*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 144 + -6?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -73*a - 27\/10*a**5 + 13\/12*a**4 + 0 + 0*a**2 + 0*a**3. What is the third derivative of g(q) wrt q?\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -78. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 + f - 2*f**4 + 6*f**2 + 4*f**4 + f - f in the form p*f**2 + z*f**3 + y + d*f + n*f**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = 8*q + 12. Suppose 3*k - 6 = q. Solve 4*v = -k*l - 5, l + 2*l = 5*v - 14 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 878\/4 + 30\/(-20). Suppose 5*h - p = -54. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 7*x + 14. Let y be s(-6). What is the first derivative of 5*p + 7*p + 39*p - 28 - y wrt p?\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1780 - 20314*f - 1763 + 3543 in the form i*f + j and give i.\nAnswer: -20314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + 1)*1\/2. Suppose 5*d = l + 3. What is the remainder when 1*(0\/(-1) - -1) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -20*v + 184*v**2 - 190*v**2 + v**3 + 20*v - 12. Give m(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.601681529536 minus -1?\nAnswer: -0.601681529536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1582*-0.14.\nAnswer: 221.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 11. Let i be j(-7). Let h be 6 + (-4 - (-2 - 4\/i)). Suppose 4*g = -8, -h*g + 2754 = 4*a - 0*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123181424825727*i - 6*i**2 - 123181424825727*i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000502 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13\/3, 1\/7, 1, -3, 13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4558.2552ns in hours?\nAnswer: 0.000000001266182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 468453?\nAnswer: -468433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4225)\/2925)\/((-16)\/(-36)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -273 + 298. Suppose 22*r - w*r + 4722 = c, 0 = -4*r + 4*c + 6296. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/(((-448)\/126)\/32). Let y(g) = 495*g - 187. Let j(k) = 8*k - 3. Calculate w*y(f) + 374*j(f).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 17*m**2. Suppose 0 = -3*s - 7*s + 1750. Let n(r) = s - 3*r - 175. Give q(n(o)).\nAnswer: 153*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((728\/(-168))\/13*9\/(-4))\/((-3)\/(-328))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20228*t + 11221*t + 11983*t)*(2 - 1 + 2 - 3*t + t).\nAnswer: -5952*t**2 + 8928*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -21. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k = -19*k. Suppose m + 2*v - 27 = 6*v, 5*m - 4*v - 55 = k. Calculate the remainder when m is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 16*q**2 - 17*q + 35. Let s be v(15). What is the remainder when 243 is divided by (-1)\/s - 246\/(-5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*x**2 + 32*x**2 + 222035579*x - 8 - 222035579*x.\nAnswer: x**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-10 + 2 - (12 - 6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1\/6, 0.41051?\nAnswer: 0.41051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9219, -9307, -9455, -9663, -9931, -10259, -10647?\n\"Answer: -30*m**2 + 2*m - 9191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -732624639*q - 683*q**2 + 732624639*q.\nAnswer: -683*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 14 = 31. Let h be (12\/(-5))\/s*(-8)\/(-32). What is the third smallest value in -35, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 87 + 121. Suppose 18*o - 22*o - r = 0. Let l = -1 - o. What is the remainder when 47 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 87*i + 1. Let z(u) = -3*u - 1. Let r(k) = -n(k) + 2*z(k). What are the prime factors of r(-6)?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puppppppppppddpddpdp. What is prob of sequence dpud?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkpkk. What is prob of sequence kkp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 3*g + g - 1 + 2*g + 1 + (26*g - 12*g + 10*g)*(-3 + 5 - 3).\nAnswer: -21*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209717 is divided by 209696.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224887?\nAnswer: 13, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060289?\nAnswer: 59, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from npfrpn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 31 = -8*c + 12*c, 0 = 3*u + c - 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/110)\/(525\/(-8250))?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 1. Is (-5187)\/(-33) - j\/33 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 78318 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.17 - -0.33. Sort z, 0.1, 3.\nAnswer: 0.1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*v**2 + 43*n*v - 635*n with respect to v.\nAnswer: 2*n*v + 43*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 623779887 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.971 + 0.711. Let r = -0.47 - -0.73. Let n = v + r. Does n = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5557, -22261, -50107, -89095, -139225, -200497?\nAnswer: -272911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -33. Suppose c + 3*c = -5*b - 20, 0 = 2*c + 2*b + 8. Suppose 3*r = -c*r + i + d, -5*r = -3*i - 7. Calculate the highest common divisor of 4 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppv when three letters picked without replacement from ppmvvmppm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 18. Let r(k) be the first derivative of -51*k**3 - 774. Give x(r(d)).\nAnswer: 459*d**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1070 - 1065. Let v be 60\/8*36\/(-15). Sort r, v, -8.\nAnswer: v, -8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 27519 + 39576. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2538358 (base 9) to base 10.\nAnswer: -1383938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7542447 is divided by 925?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -346827 in decreasing order.\nAnswer: 11, -4, -346827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 4*g**2 + g - 15. Let i be n(5). Find the common denominator of -4 - i\/10 - (-127)\/116 and 79\/14.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gttuutugtibo. Give prob of sequence ot.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53700 is divided by 321.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162613*a - 1062 = 162554*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -462 (base 10) to base 15.\nAnswer: -20c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -196 + 110 + 72 + -3\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49599544 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f - f + o, -2*f + 18 = 3*o. Suppose -2*n - b = -2*b - 9, -5*n + 3*b + 23 = 0. Differentiate -4 - 26*s**f + 3 + n*s**3 + 4 with respect to s.\nAnswer: -66*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26, 134, 354, 722, 1274, 2046, 3074?\n\"Answer: 6*h**3 + 20*h**2 + 6*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 30, 2.55, 0.4 in increasing order.\nAnswer: 0.4, 2.55, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (5 - 3) - -1 - (-43 - -38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 320777 or 320775?\nAnswer: 320775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 955*z. Let a(d) = -2*d**2 - 34*d + 3. Determine a(y(q)).\nAnswer: -1824050*q**2 - 32470*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10 + 4 + 11 - 131*f. Let b be y(-1). Factor 3*p**3 - 11 - 7*p**2 - 2*p**3 - 1 + b*p - 120*p.\nAnswer: (p - 3)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*y + 324. Suppose 4*x + 0*x - y = 0. Suppose 5*r - 6 = f, -3*r - 27 = -5*f + 9. What is the greatest common divisor of f and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -341?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 50. Let n be g(33). Let q(f) = f**2 + 14*f - 7. Does 13 divide q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 2*l = -26, 16*l = -25*n + 21*l + 215 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**2 - 11 + 5*g**2 - g**2 - 129*g + 12 - g**2 as n*g + r + d*g**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4*i = 8, -2 = -3*s + 2*i + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 295357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b83d (base 15) in base 12?\nAnswer: -121064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2482 - 2484. What is the fourth biggest value in 1\/4, -0.1, -4, w, 0.024?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnknxxkaaxx. What is prob of sequence ax?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 4*x**2 - x - 3. Let o be r(3). Calculate the greatest common factor of o and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254120512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 3*f**6\/10 - f**4\/12 + 3*f - 1. Let u(h) be the first derivative of s(h). Find the third derivative of u(p) wrt p.\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*m - 14 = 0, a - 7*m - 21 = -2*m. Let y be (-1)\/3*-6 + a*-2. Solve y = 3*l - 9 + 24 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -272, -373, -514, -695, -916, -1177?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*v - 7*v + 34, 0 = -q - 5. Let c be v + (2 - 4) - -1. Solve -3*s = -4*d + 8, c*s = -2*d + 1 + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 710, 1954, 4326, 8390, 14710, 23850?\nAnswer: 36374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from ahdhdadhahhahhhhhh?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 50*b. Let j(h) = -7*h. Let a(k) = 3*k. Let r(l) = 10*a(l) + 4*j(l). Calculate y(r(n)).\nAnswer: 100*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-37)\/74)\/(2\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 17}. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 5. Suppose 0 = k*p + 22 - 292. Suppose -3*v = -5*f - 7*v + 160, -5*f - 3*v = -165. What is the greatest common divisor of p and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/592 (b) 524 (c) 2 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28085\/8 - -3505. What is the common denominator of (-1110)\/308 - 8\/(-28) and u?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {m: 3, k: 17}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**4 + f**3 + f - 1. Let m(v) = 45*v**5 - 2*v**4 - 3*v**3 + 17*v**2 - 3*v + 1. Let r(p) = 3*g(p) + m(p). Find the third derivative of r(a) wrt a.\nAnswer: 2700*a**2 - 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 388 + -356 + -21 + (4 - 2).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000612 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -2*l**4 - 2*l**3\/3 - l**2\/2 + 129*l + 243. What is the second derivative of f(a) wrt a?\nAnswer: -48*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 4*p**2 - 5*p**2 + (-1 + 8*p + 1)*(2*p - 5*p + p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 58 + 54, -3*q = -4*r - 3220. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2.6, -96 in descending order.\nAnswer: -0.5, -2.6, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {u: 3, s: 2, p: 8, x: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5433 = -12*m + 1791. Let a = 1372 - m. Is a a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 6*h - h**3 - 2*h**3 - 6*h + 2*h**2 to l*h**3 + s + m*h + d*h**4 + w*h**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/42798 and -127\/8022.\nAnswer: 8174418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + ((-1886)\/308 - (-24)\/112)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 613250 (base 9) to base 6\nAnswer: 11441413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -97*g**3 + 179*g**2 + 7*g. Let h(j) = -67*j**3 + 120*j**2 + 5*j. What is -7*h(t) + 5*r(t)?\nAnswer: -16*t**3 + 55*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2163381527?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 167*q**2 - 2*q**3 + 434*q**2 - 4.\nAnswer: -2*q**3 + 601*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*f = 36*f + 67*f + 122 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.61137 times -3?\nAnswer: 25.83411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-3))\/4)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 284*u - 11155. Calculate m(-167).\nAnswer: -2805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 897506695 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 10*k - 3. Let s(v) = 3 - k + 25*v. Let z(d) = -d**2. What is s(z(h))?\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*o + 198 = 5*i, -5*i - o + 213 = 0. Suppose -i = -9*g + 2*g. Let r be (16 + -1)\/3 - g\/3. Solve -f + r = 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723 = -45*h + 2*a - 50, h - 6*h + 80 = 5*a for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = 5*l + 22. Suppose -14603 + 4523 = -l*b. Suppose -128 = -3*y - y. What is the greatest common divisor of y and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x + 2. What is v(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*n + 93*n - 236*n + 204. Factor 8\/7*b**4 + 8\/7*b**2 + 2\/7*b + 0 + 12\/7*b**n + 2\/7*b**5.\nAnswer: 2*b*(b + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 61, -7, 14.\nAnswer: -10, -7, 14, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2 + 86. Let c = -60 - x. Is (-43860)\/c - ((-1)\/3)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 10*s**2 - 25*s + 12. Let t be z(12). Let k(q) = 8 + q**3 - 5*q**2 + t*q**3 + q + 5 - 11. Give k(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11231.32 rounded to the nearest ten?\nAnswer: -11230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-16) - 2*1)*(790 + -794)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 5, 2, -5 in descending order.\nAnswer: 5, 2, -5, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1501.5 + -1502. What is the third biggest value in -2, k, 63?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-2) - 3) + (-370)\/130.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 67332*l - 471325. What is u(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 24. Let s(n) = -3*n**2 - 8*n + 17. Let k be s(2). Determine f(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/14 and -157\/276.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51617053 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(95)*2*2)\/(sqrt(5445)*2*6 - sqrt(5445)).\nAnswer: -24*sqrt(19)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**3 + 441 - 6*c**3 - 9*c - 441 to the form b + u*c + v*c**3 + d*c**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/75 - 1149\/495 - (-32)\/48.\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -144, -0.4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -4. Find the third derivative of -8*j**5 + 20*j**2 - 5*j**2 + u*j**5 wrt j.\nAnswer: 840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26660 greater than -32163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6254696 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: Is 71441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 270? (a) 2 (b) 5 (c) 1 (d) 0 (e) 62\/11 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149595 is divided by 73779.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2733885 and 44\/57908655.\nAnswer: 636995205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1 - y**2 + 0 - 4*y + 4*y. Let t = 16060 + -16057. What is f(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 326.7371l to millilitres.\nAnswer: 326737.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1208061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7 - ((5 - 2) + 0) - 8)*2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8015*z**3 - 8017*z**3 - 8010*z**3 + 32059*z**3 - 8018*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - 139. Let f(m) be the third derivative of 0*m**5 - 1\/24*m**6 - 3*m**2 + 0*m + 0 + z*m**4 + 2\/3*m**3. What is the first derivative of f(x) wrt x?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164960.\nAnswer: 2, 5, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*y + 5*b, -3*y + b + 2 = -3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9758\/(-187) + (-4)\/(-22). Let q be g\/234 + (-1166)\/18. Let x = q + 236. What is the greatest common factor of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**5\/5 - 1593*d**4\/5 - 209058*d**3\/5 + 643194*d**2\/5 + 209061*d\/5 - 641601\/5 = 0.\nAnswer: -267, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34715, -48038, -61385, -74768, -88199?\n\"Answer: -2*o**3 - 13309*o - 21404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 36*u**2 + 114*u + 4081. What is x(-36)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1797343, -3595474, -5393605, -7191736?\nAnswer: -8989867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -107.1 - -15.1. Let k = -14032802.3400063 - -14032894.34. Let y = q + k. What is y rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4540 + 4543. Which is the closest to 1? (a) -19 (b) v (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57080 + -3?\nAnswer: -57083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**3 + h**3 - 4*h**3 + h**2 - 2. Let v(z) = -13*z**3 + 2*z**2 - 5. Let f(q) = 5*r(q) - 2*v(q). What is the third derivative of f(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 16*k - 37. Suppose -316 = 16*d - 108. Give n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004581563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104881272 or -104881271?\nAnswer: -104881272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-22*s + 128 - 261 + 136).\nAnswer: -22*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396751713.\nAnswer: 7, 3011, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -5*n + 282. Let z = -92 - n. Suppose -3*m + 1406 = b, 0*b - z*m = -3*b + 4185. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/1*(-2)\/4. Suppose l - 8 = -2*i, -4*l = -i - w*l + 7. Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 50\/(-175) - (-2024)\/28. Suppose -3*z - j = -m - 2*z, 3*m + 3*z = 240. What is the greatest common factor of m and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/5 - (-110)\/(-100))*-262 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120879713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1289383953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2))**(-38)\/(q\/q**(-2))**(-29) assuming q is positive.\nAnswer: q**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6661 (base 10) to base 7\nAnswer: 25264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -5*n + 255. Let z(g) = -58*g**2. Let u be z(-1). Let s = u + n. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnxa when four letters picked without replacement from {x: 1, d: 1, n: 5, m: 3, a: 5}.\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/(6\/9 - (-291)\/(-423))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 558928783 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 3*d**2 + 78. Let v(n) = -4*n. What is v(i(j))?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01379 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**3 + 6002*b**2 + 23984*b + 23976 = 0.\nAnswer: -2997, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28072 + -0.04027. Let z = y + 0.9705. Let i = 0.65 - z. Round i to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 2. Let y = l - -0.2. Let j = -64.2 + 64. What is the nearest to y in 3, j, 3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 46, 4\/9, 1\/2, 0, 1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3784063105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8673984 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (18 - 35) + -1 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 1\/6*m**3 + 0*m**5 - 1\/105*m**7 - m**2 + 0*m**4 + 0*m**6 + 0*m + 0. What is the first derivative of l(n) wrt n?\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8377807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -0.8. Let v = -117 - -583\/5. Which is the closest to v? (a) -4 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/4*1450\/(-3625).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:12 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/4)\/((-6)\/36). Solve -3*a + 12 = 3*v + v, -t*v + 5*a - 20 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let f(v) be the third derivative of 1\/8*v**4 + 0*v**3 - 3*v**2 + 0 + 0*v. What is f(u(w))?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 10:11 PM?\nAnswer: 242","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2981, -1, -6.\nAnswer: -2981, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 10:01 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(272) + -2 + 2)**2 - ((sqrt(272) - (-3 + (-2*sqrt(272))**2)) + (sqrt(272) + -6*(0 + sqrt(272) + sqrt(272)))**2).\nAnswer: -30741 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*b - 42860 = 19482 - 1892. Calculate the lowest common multiple of 117 and b.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-95)\/114*(-3)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 15*t**2 - 18*t - 4. Let u be b(-16). What are the prime factors of 5229\/u + 3 - 1\/(-4)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2 - 4*o + 0*o + 0 + o. Suppose 5*l - 2*p + 4*p + 16 = 0, 10 = -2*l - 2*p. Give x(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12641928*f**3*p + f**3 + 8*f**2 + 2*f*p + 1757*p + 6608 wrt f.\nAnswer: 75851568*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4 - 2*f**2 + 2 - 5*f**2 + f**3 + 2*f. Let s be t(7). Suppose 3*c + 0*r + 10 = -5*r, r = 3*c - s. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120\/17, 3\/8, -2, -5\/3.\nAnswer: -2, -5\/3, 3\/8, 120\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*432\nAnswer: -172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - sqrt(312)\/sqrt(6)) + sqrt(52))\/sqrt(4) + -1.\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 6*v - 4. Suppose 5*a + 38 = -3*s + 113, 0 = 2*s - 3*a - 69. Suppose -11*o + 16*o = -s. Does 17 divide t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35708\/9 - -3963. Find the common denominator of (5\/6)\/(-5) - (-99)\/36 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*(sqrt(612) + 2 + 0 - (4 + -2 + sqrt(612) + sqrt(612))))**2.\nAnswer: -300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 2\/11, -0.24, 3\/8, -1\/3, 15\/8, 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.629474 less than 111404?\nAnswer: 111419.629474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 + 885\/7. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482425 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 3*s - 69 + 69.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2519 and 38129645?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = f + 5*b - 358, 1910 = 5*f - 4*b. Suppose -j - 12 = 4*y - 213, f = 2*j + 2*y. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*v + 2*v. List the prime factors of 6\/(v - -1)*-14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87863 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -25811b + -78?\nAnswer: -258196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -j. Let d be (27\/(-15) - -5)*10\/j. Suppose 2*f - 3*f = d. Let s(m) = -m - 14. Determine s(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 39960 rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 (base 3) in base 8?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5856\/7*s + 6\/7*s**3 + 1482\/7*s**2 + 5832\/7.\nAnswer: 6*(s + 2)**2*(s + 243)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -69*u + 76*u. Let v(h) = -4*h**2 - 4*h. What is v(u)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 - 1 = 5*w, 4*w = -5*o - 13. Let i be ((-48)\/36)\/(3 - 33\/9). Let t = i - o. Is 2 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000082 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273 + 509 + 329)*(-67 + 5*o - 52 + 129).\nAnswer: 2825*o + 5650","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -5*x + 8. Calculate the common denominator of (-20)\/14*30\/125*-15 and ((-6)\/x)\/((-162)\/3420).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 147.84 and -0.7.\nAnswer: -103.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-87)\/(-105) - 1)*44\/(-132).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 7\/2*n**2 - 25 + 2*n. Give o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Suppose 3*y - 40 = 3*l + 2*l, 84 = 5*y - 4*l. Let x(g) be the first derivative of -2 + y*g - 2*g**2 - 20*g - 1. Calculate x(n(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -63, -128, -261, -486, -827, -1308, -1953?\n\"Answer: -4*v**3 + 2*v**2 + v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*g**2 + 53*g**2 - 207*g**2 - 64*g**2 - 2*g**2.\nAnswer: -151*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 7*c + 10. Let a(g) = g**2 - 2*g + 3. Let f be 0\/(1 - 0\/4). Suppose -3*b + 3 + 18 = f. What is b*a(j) - 2*w(j)?\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64227 is divided by 21379?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1412*o + 149 = 1498*o - 109. Factor -15*j - 15\/2*j**2 - 5\/4*j**o - 10.\nAnswer: -5*(j + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21010112 (base 3) in base 15?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/2*3\/(-96)*-24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*x + 2)*(-2 - x - x + 0*x) + 0 + 0 + 7*x**2 + (-2 + 2 + x)*(0 + x + 0) + x**2 + 4*x - 4*x.\nAnswer: 13*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7927150 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.900519 rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 10 - 20. Let k(n) = 2*n**3 - 9*n**2 + 9*n - 2. Let y be k(j). Suppose o - 32 = -o. What is the greatest common factor of o and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*h = 41 - 470 - 43 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**2 - 53*m + 122. Let v(s) = 65*s**2 - 425*s + 975. Suppose 11*t - 12 = 7*t. Let z(f) = t*v(f) - 25*w(f). Find q such that z(q) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 + 8*k - k**2 + 5 + 2*k. Let w(i) = 2*i**2 + 9*i + 5. Let o(q) = 3*s(q) - 4*w(q). Calculate the remainder when 21 is divided by o(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*v - 60605, 2*l + 6*v = 5*v + 60599. What is the units digit of 2\/11*-1 - l\/(-275)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 804 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3280359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 1, 45, 1630.\nAnswer: 1, 45, 60, 1630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104914 is divided by 771.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 132269560 to the power of 1\/2, to the nearest integer?\nAnswer: 11501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 7.242.\nAnswer: 2.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-69)\/(-85514)*2\/(-1)*4\/(-6). Are u and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 3:20 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 49*f. Let x be v(3). Let h = x - 130. What is the highest common factor of 289 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t + 2*t - t + 2*t - 4*t + t + 3*t - 3*t + (4*t - 5*t + 3*t)*(0 + 2 + 0).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 378 + -487. Let l = 320 + -88. Let q = p + l. What are the prime factors of q?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/5)\/y**(-6\/17))\/(y\/y**(2\/47)*y\/y**(-9)) assuming y is positive.\nAnswer: y**(-37571\/3995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 - 111.4. Let p = h + -1.1. Let f = 4.5 - p. Which is bigger: f or -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -9. Let h = -2 + i. Let v = -12 - h. Which is the biggest value? (a) 4 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5959 - 2867. What are the prime factors of h?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5701 + 5702 + 6*b**3 - 33*b**3.\nAnswer: -27*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-180)\/35*14\/(-4). Let h = -7 + g. Calculate the highest common factor of 99 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2643789, 5287594, 7931399?\nAnswer: 10575204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 10:57 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12401059\/28 + -442828. Suppose -8*g = -5*g + 2*j + 209, -3*g + 2*j - 193 = 0. Let q = g + o. Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2522 + 2521.9. What is the nearest to i in 15, -3\/5, -0.9, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4432 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46298 is divided by 204.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)*q)\/q**(-8))\/(q**3\/q)**(3\/5) assuming q is positive.\nAnswer: q**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -62163304 - 3?\nAnswer: -62163307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000110001 - -110000?\nAnswer: 11001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*s + 75*s + 2*s**4 - 8*s**2 + 59*s + 0 + 2 to the form q*s**4 + z*s + c*s**2 + m + p*s**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 21 + y**3 + 24. Let s(a) = -3*a**3 + 7. Let h = 0 - 3. What is h*s(x) + 7*q(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - (-66)\/12)*10\/3. Let h(k) = 4*k**2 - k - 2. Let c(t) = 7*t**2 - 2*t - 5. Let b(n) = q*h(n) - 3*c(n). Calculate b(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2313*(-76)\/(-114) + 4. Let i(p) = 8*p**3 - 6*p - 6. Let q be i(-5). Let o = q + j. What is o rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 4*r - 9. What is the remainder when 1154 is divided by l(7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 38. Let m(f) be the second derivative of -3*f**5\/20 + f**4\/12 - f**3\/6 - f**2\/2 - f. Let g be m(-1). Solve -s - g*s + l = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/12 + o**4\/24 - 2*o**2. Let d be (1 + (-3 - -4) - -3) + -4. Let l be 1*d\/(2 + -2 - -1). Give g(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*i**4*r**2 + 65*i**4*r + 2*i**3*r - 8*i**2*r - 222*i*r**2 wrt i.\nAnswer: -192*i*r**2 + 1560*i*r + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 9) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 8*c + 5. Suppose 3*r = 7*r + r. Let w be s(r). Factor 0 + 0*h + 1\/7*h**w - 1\/7*h**3 - 1\/7*h**4 + 1\/7*h**2.\nAnswer: h**2*(h - 1)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1126970, -2253932, -3380894, -4507856, -5634818?\n\"Answer: -1126962*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4859 is divided by 803?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(13\/3)\/(c*c**(-16))*((c*c**(-1\/2))\/c)**49 assuming c is positive.\nAnswer: c**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4 + 2. Let b be (12 - 3) + c\/4*-2. What is the highest common factor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*h - 10, -2*h = 2*h. Suppose 4*i - 24 = -x*p + 10, i = -4*p + 26. Let s = 18 + i. What is the remainder when s is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85524570*o**4 + 1725*o**2 - 626*o - 2 wrt o.\nAnswer: -2052589680*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzxb when four letters picked without replacement from {m: 1, z: 1, b: 1, d: 9, x: 5}.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Let o = -0.4 + -3.6. Which is the nearest to 0.4? (a) -3\/7 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*g - 418 = 2 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(((-6)\/(-8))\/(((-21)\/2)\/(-21)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 1. Let g be 3\/(-2) - 58\/i. Suppose -g = -p - 1. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Suppose -3*a = t*l - 0*l - 6, 3*a - 4*l - 6 = 0. Sort 0, -5, a.\nAnswer: -5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748453708 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 407, 795, 1413, 2237, 3243?\n\"Answer: -4*g**3 + 139*g**2 - g + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 26*z**2 - 48*z + 47. Let r be l(1). Solve -r = -4*v - 17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 140? (a) 5 (b) -6 (c) 2\/13 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(1\/2*-2). Let j be -5 + 1 + -1 - c. Is j smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r - 4. Let m be -3 - (-1 - -7)*2\/(-4). Suppose -16*d - r + 1 = m. Solve d = -2*h - 6 + 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333608069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 322.1 and 108.3.\nAnswer: 430.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1202 + 22848\/19. Let w = d - 21\/76. Let x = -123\/4 - -31. What is the closest to w in 4, -3\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 20*q + 60. Let a be n(-4). Let g be (-2)\/6 + 1\/3. Let b(r) = 2*r + 2 - 6 + g. Calculate b(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**5\/20 - 5*g**4\/12 - g**3\/3 - 4*g**2 + 8*g. What are the prime factors of h(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -5. Let s = b - -12. Find the second derivative of 2 + s*h**2 - 2 + 0*h**2 + 2*h wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 2\/13, -3\/4, 67, 30\/11?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2222123 + -502?\nAnswer: 2221421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 431494 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*d - 681 = -44 + 272 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggxmxgmmxmgx. What is prob of sequence xgmm?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + (12 - 4) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + -11303?\nAnswer: -11327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (1 - -3))*1. Suppose m*w = -w + 12. What is the closest to -0.1 in 2, -1\/5, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose -z + 578 = -4*s, 0*s - 730 = 5*s - 5*z. Let b = 152 + s. What is the highest common factor of n and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 10*g + 11. Suppose 4*q + 58 = -q - 3*t, -2*q - 19 = -3*t. Let s be o(q). Factor s*l**3 + 1\/3*l**4 + 0 + 1\/6*l**5 - 1\/3*l**2 - 1\/6*l.\nAnswer: l*(l - 1)*(l + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2582.004 - -2574. Let p = m - -8. Round p to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18356 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f - 41 - 13*f + 40 - 26*f.\nAnswer: -49*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274805527 to the nearest integer?\nAnswer: 16577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18203 - 18203. Let z = 6.7 + -7. Which is the third biggest value? (a) z (b) -17 (c) 2\/13 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 2*k)*((0*k - k + 2*k)*(-2 + 2 - 2*k) + k - k - k**2 - k**2 - 5*k**2 + 4*k**2 + 2 - 2 - 2*k**2 + 6*k**2 + 4*k + 4*k**2 - 8*k**2).\nAnswer: 10*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 93\/(-62)*294\/7. What is the nearest to 1 in 0, 4, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let u = 28 + -17. Suppose -3*w + 22 + 42 = 2*s, -5*s - u = -f*w. What is the remainder when 34 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 + 36 = k - 3*w, -24 = 2*k - 5*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1038)\/4*12\/18. Let y = z + 104. Let p be y\/(-21) + 4\/(-14). Solve 2*f - 4*q = 4, 0*f + 3 = -f - p*q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -2\/3, -0.1, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5438448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1714*m**4 + 755*m**3 + 2*m - 4 + 596*m**3 + 602*m**3 - 1953*m**3 to the form u*m**2 + l*m + c*m**4 + p + s*m**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 10*g**2 + 10*g - 11. Determine d(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*q + 1794 = 244*q - 100*q - 481 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 3. Let g = 1 - -2. Let d = -868 + 1735\/2. What is the nearest to m in d, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 46 - 38 = 0, 0 = 3*f - 5*c - 13. Solve -f = -33*p + 44*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2484 is divided by 491.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7389*z - 7396*z = 203 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -12. Let z = 8 - 2. What is the least common multiple of z and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 12. Let h be a(-2). Let p be 1*5\/(3\/(-3)). Which is bigger: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10272 divided by -642?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6496*y - 36. Let g be n(-16). Round g to the nearest one thousand.\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/9)*k\/((k*k**(-1\/6)\/k)\/k))\/(k**(-1\/2))**(-21)*k**6*k**0*k*k**(-2)\/k*k**(-1\/5) assuming k is positive.\nAnswer: k**(-169\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -15*p + 13. Let t(g) = -21*g**2. Calculate w(t(f)).\nAnswer: 315*f**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 617604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 8*q**2 + q + 8. Let b be x(8). Let s be (324\/540)\/((-3)\/(-5)). What is the greatest common factor of s and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. Let p be 3*r\/6 - 0. Suppose 0*q = -p*q + 290. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l, -3*g + l + 1200000 = 0. Round g to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n - 4*p - 96, -1980*n + 5*p = -1977*n - 133 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**3 - 150*m**2 - 23535*m + 71820 = 0.\nAnswer: -57, 3, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -1.3 (c) -0.1 (d) 1\/4 (e) 267\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 32. Suppose 0*n = -n + 17. Solve -2 = -v*f + 5*d + n, -23 = -f + 5*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f - 6. Let m be s(-1). Suppose 11*y - 6*y - 1220 = m. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 589 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4838866 or -4839041?\nAnswer: -4838866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + -8*((-167)\/4 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(280\/21)*(-8)\/18?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257901 by 7.\nAnswer: 36843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/10)\/((-4)\/940). Let s = -10 + o. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 - 3*c. Let j be o(3). Suppose j*g - 3 = -3*g. Suppose -g = -3*n + 20. Solve n*u - 4*u = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*q + 6, -2*q - 5*l = 2 + 1. Which is greater: q or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2 - 787*m - 1570 = 0. What is m?\nAnswer: -785, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3 (b) -0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/40 + 51\/5. What is the greatest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**5 - 8*z**4 + 128*z**2 - 256*z = 0?\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -b - 4308, -p + b - 3*b + 2154 = 0. Suppose -p = -5*x - 419. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48, 54, 72, 108, 168, 258, 384, 552?\n\"Answer: z**3 - z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 21 - l + 4*l - 7. Let f(d) = 321*d + 319*d - 959*d + 320*d + 5. What is -11*f(b) + 4*n(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 1. Let t be l(-1). Suppose -d = -p + t - 0, 2*d - 21 = -3*p. Do 3 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 - -1.34. Let i = -0.83 + b. Let p be (-2)\/(4*(-2)\/(-28)). Put -0.2, p, i in increasing order.\nAnswer: p, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 1499, 1487, 1457, 1403, 1319?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0*m**4 - 31*m**2 + 0 + 0*m**6 + 61\/60*m**5 + 0*m**3 + 0*m**7 + 0*m - 25\/336*m**8. Find the third derivative of k(l) wrt l.\nAnswer: -1500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41327123909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160211 is divided by 8899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = 2*h + 9, h - 29 = -5*o. Suppose g - 2*k = 155, -5*k - 9 = o. Suppose -3*f + 2*f - 3*d + 34 = 0, 4*f - g = d. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 8\/2 + -6 + 0. Let n = l - 51. Calculate the common denominator of 17\/27 and -3 + (-110)\/n + 2.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -139*m**2. Let s(l) = 35*l + 30. Let b(c) = 24*c + 21. Let r(u) = 10*b(u) - 7*s(u). Determine x(r(n)).\nAnswer: -3475*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.4, -1\/1486, 4, 2, 1.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 48.7. What is p rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 t, and 1 w when four letters picked without replacement from {e: 8, t: 2, w: 4, g: 1, d: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/3)\/((-2)\/(-12)). Suppose 4*h + k = 8*h. What is the greatest common divisor of 32 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + -1 + 132 + -137\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4d (base 16) in base 14?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 0. Let k = -12.08 + 11.88. What is the nearest to -0.2 in k, h, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(567) + sqrt(567)*2))\/(5*(sqrt(9) - sqrt(36)*-6)))**2.\nAnswer: 20412\/4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:41 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -350*f. Let u(g) = -1. Let d(b) = 27*b + 2. Let y(n) = -d(n) - 2*u(n). Let w(i) = -6*x(i) + 77*y(i). Let r(q) = q**2. What is r(w(o))?\nAnswer: 441*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -1\/12*s**4 + 1\/6*s**3 + 0 + 3*s - 5\/2*s**2. Calculate c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 534977 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**3\/2 - 5*y**2\/2 - 14*y. What is the tens digit of w(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-68)\/(-16) + (-2)\/8. Solve 4*g + 4 = 4*a, v*a + 21 = -5*g + 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1353 - -2216. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 1 - 3 - 5 - 2. Let a(p) = -21*p + 26. Let k(l) = 6*a(l) + 17*q(l). What is the derivative of k(t) wrt t?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, h: 1, a: 1, z: 2, e: 1, o: 1}. Give prob of picking 1 z and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 5*v + 1098 = q, 4*v = 4. Is q a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**4\/12 - y**3\/6 + y**2 + 3*y. Let q be b(0). Solve -2 = q*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbtnl. Give prob of sequence tt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -334\/9 in 3, 55, 1\/3, 0, 2.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27978*s - 1839*s - 1688*s.\nAnswer: 24451*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 at least as big as 18\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0 + 0*m - 1\/3*m**3 + 4*m**2 - 1\/2*m**4. Calculate the remainder when l(-3) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11984*z - 11989*z = -5*x + 110, 3*x - 4*z - 71 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4314 - 4028 = -4*w, w = 4*y + 2091. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 249 + 183. Let m be (-126)\/(-4) - 2\/(-4). What is the highest common factor of m and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ba (base 15) to base 5.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 5*a**2 + 2*a + 5. Suppose -8*u + 15 = -11*u. Let q be w(u). Let h(x) = x + 1. What is h(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.1, 67, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 88050983, 176101964, 264152945, 352203926?\n\"Answer: 88050981*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 22*o + 18. Give l(-5).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 11) to base 7\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 133 (b) 2 (c) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*b - 85. Let u = b - 77. Let m(i) = -i - 1. Determine m(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-4))\/(((-1)\/2*(-536)\/(-2948))\/(-1)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3131*g**3 + 2*g + 26 - 19 - 5 - 2 to a*g**2 + h*g + d*g**3 + j and give d.\nAnswer: 3131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -894.4 - -894. What is the biggest value in -0.3, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/85, -3\/8, -142, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 60 = 20*x. Which is the smallest value? (a) -5\/4 (b) -0.22 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1110100110001?\nAnswer: -1110100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. Suppose 3*m = -m - 16, r = 5*m + 22. Suppose -3 = -r*t + 5. Calculate the greatest common factor of t and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 2, u: 1, l: 3, n: 1, a: 1}. What is prob of sequence zznh?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.65 + 2.4. Let m = -0.25 - h. What is the nearest to m in -2, -0.4, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 - 139*r**2 + 90 + 8*r**2 - 76*r**2.\nAnswer: -207*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 127.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 11*r**3\/6 - 3*r. Let b(f) be the first derivative of -f**2 - 77. What is d(b(s))?\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 172*g - 1447. Calculate b(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -21 - (81 + -126) - -63.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 320723337 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = -20035*v + 20030*v + 15*t, 5*v + 3*t - 17 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1620?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -904235 greater than -904227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -415, -473, -575, -727, -935, -1205?\n\"Answer: -y**3 - 16*y**2 - 3*y - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 1a?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 8*q = 4, 38*z - 3*q + 9 = 35*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -415.880779 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7715*m**2 - 8300*m wrt m?\nAnswer: -15430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieouoeigioi. Give prob of sequence egie.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 30. Solve 0 = s*x - 4*v, 3*v - 4 = 7*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 85454062 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - x + 25, 128*x - 130*x = -4*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-84)\/(-2) + (-1)\/2*-4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/3465 and -47\/315.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 639 + -e?\nAnswer: 62a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - (-7)\/(-10). Let p = -0.127 - -0.127. Which is the closest to 2? (a) m (b) p (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7588687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 3, w: 6, p: 1}. Give prob of sequence ww.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-6))\/5)\/(-5 - -3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 85110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 406?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 + 0.03. Which is the second biggest value? (a) x (b) 0 (c) 0.1 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.5 minus 22182704362?\nAnswer: -22182704334.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(2700))\/(sqrt(45)\/sqrt(5)*1))**2*-1.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9572782?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2413 divide 347155897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2592 is divided by 430.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57 - 43) + 4 + (-7 - 39)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 - 0.3. Let o = -478258 - -478257. Which is the third biggest value? (a) 0 (b) o (c) 0.71 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v - 12. Suppose 3*r - r = -k - v, 5*r = -2*k - 10. Suppose k = -3*h + 190 - 31. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16112, 16113, 16100, 16067, 16008, 15917, 15788?\n\"Answer: -h**3 - h**2 + 11*h + 16103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/3))**(-2\/23)*l**(-10)\/(l**(-1\/14)*l))**(2\/19))**24 assuming l is positive.\nAnswer: l**(-84904\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c + 126 = -489. Let y = c - 18. Let x = -0.3 - -0.2. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-5) + (-2)\/10. Do j and 2\/51 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + v + 8*v in the form u + c*v and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113324 - 75?\nAnswer: 113238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3600 + 3601. Solve -6*s - 21 = 3*j, 0 = 6*j - j - 2*s - h for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - m + 7, 8*m = 2*j + 3*m + 11. Suppose 0*i = -j*i + 12. What is the lowest common multiple of 20 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 28*v**2 + 85*v + 302. Determine i(-25).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 i when three letters picked without replacement from kppkdi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 9*d + 11. Let q be u(-10). Solve q = 5*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -11 - 1) + -28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 7\/2*s**2 + 35 + 3*s. Calculate a(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j. Let r(x) = 14*x. Give h(r(d)).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**5\/180 + 319*r**4\/36 - 101761*r**3\/18 + 4*r**2 - 96. Factor u(p).\nAnswer: -(p - 319)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzficwcw. Give prob of picking 2 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.1212 - -48. Let a = 8 + -8.11. Let f = p - a. What is f rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 5*a + 4 + 18, 3*y - 2*a - 13 = 0. Suppose g + w = y, -3*w - 4 = w. Suppose 5*u = g*u + 6. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 5:11 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + a)*((a - a - 3*a)*(-1 + 6 - 3)*(7*a + 6*a**3 - 7*a) - 2*a**4 + 2*a**4 - a**4).\nAnswer: -37*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*f + 259*f + 0*f**2 - 2*f**3 - 15*f**2 - 142*f.\nAnswer: -2*f**3 - 15*f**2 + 662*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.5 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 5*s - 35, -79*g + 18 = -76*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 61, 2, 0, -2 in decreasing order.\nAnswer: 61, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 10*s - 12*s - 14, -4*r + 5*s = -31 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 5. Let x be s(-4). Let l(z) be the third derivative of 0*z + 7\/60*z**5 + 0 - 1\/6*z**3 + 1\/24*z**4 - 2*z**2. Give l(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 51 = -5*q - 19, t = -2*q + 20. Solve -q = 5*y + 5*b + 7, -2*y = 3*b + 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20775, -17871, -13037, -6279, 2397, 12985, 25479?\n\"Answer: -x**3 + 971*x**2 - 2*x - 21743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.47 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18106151179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/196*7\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1885, 3768, 5651?\n\"Answer: 1883*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-6\/5)\/z)\/z**36 assuming z is positive.\nAnswer: z**(-186\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 525018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-16)\/3)\/4)\/(30\/(-37035)). Let c = b + -1126. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 51781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 10:58 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 p when three letters picked without replacement from {p: 1, o: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13585472 - 2*l - 13585472.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l + 12. What is the common denominator of -29\/2 and (-50)\/(-16)*l\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 22 = -5*h. Suppose q + 4*t = -1, 0 = -h*q + 2*t + 15 + 13. Find the third derivative of -47*n**5 - q*n**2 + 26*n**5 + n**2 wrt n.\nAnswer: -1260*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*o**4 - 6*o**4 - 1743467 - 78*o**5 - 3*o + 1743463 + 26*o**2 wrt o?\nAnswer: -4680*o**2 + 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2756 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 3*z + 3. Let a(m) = 2*m**2 + 10*m - 19. Let j be a(-6). Let p(x) = -3*x**3 - x**2 + 7*x + 7. Determine j*n(b) + 3*p(b).\nAnswer: -2*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -888, -3371, -8282, -16449?\nAnswer: -28700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -480001*a**2\/2 + a + 1. Let b be w(1). Round b to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 7*i - 3. Let j be w(-6). Suppose 2*x = -3*m + 6*x + 2, -j*x = -3. Find the second derivative of 2*t - t**m + 2*t - 5*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 2, j: 1, m: 2, l: 10}. What is prob of sequence jpp?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssmmsm. What is prob of sequence mss?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1251.5042 - -1247.8. Let r = m + 3.7. Round r to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -q - b, -3*q + 3*b + 5 - 26 = 0. Let t be 28\/3 - (-2)\/q. List the prime factors of t\/(-36) + (-162)\/(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**2 - 6*l**2)*(0*l + 0*l - 2*l**2) - 732*l + 48*l**4 + 732*l + (-l**3 + 0*l**3 - l**3)*(3*l + 3*l - 4*l).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004166 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -63. Suppose 4*w + i = -3*i + s, -38 = -5*w - 4*i. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*z**4 - 8*z**2 - 69.\nAnswer: -76*z**3 - 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45188421 divided by 1941?\nAnswer: 23281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629*i - 85*i**3 - 2437 + 629*i + 2440.\nAnswer: -85*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 33*p**4 - 111*p**3 + 393*p**2 + 468*p = 0.\nAnswer: -4, -1, 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/12 + 5*h**4\/12 + 5*h**3\/6 - 9*h**2. Let u(y) = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107073909 = 190*m + 5531639. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 0 + 7*o - o + 0. Let a(i) = -25*i**2 - 55*i**2 - 60*i**2 + 105*i**2 - 16*i**2 - 19*i**2. Determine a(t(u)).\nAnswer: -2520*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9857.38 and 0.03.\nAnswer: -295.7214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 272223*g**3*k**3 - 4*g**3 - 1639*g*k**3 - 1369*g*k**2 wrt g.\nAnswer: 1633338*g*k**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 119 = 165. Let z(q) = -14*q + 124. What is the remainder when g is divided by z(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -135 + 304. Suppose -w = -2*l - 3*v + 271, 3*l - v - 682 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.6 in 3, -2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -53, -25, 23, 97, 203, 347, 535?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -146557.8.\nAnswer: -43967.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 946 = -784. What is the smallest common multiple of a and 1146?\nAnswer: 3438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 175*u**3 - 14563*u**3 - 14032*u**3.\nAnswer: -28420*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 152651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 6*s**2 - 10. Let m be u(6). Let b = 22 + m. Find d, given that -18 + 4*d**2 - 2*d**2 + b + 8 + 4*d = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4476 - 156598\/35. Let t = s - 28\/15. Suppose 0 = -4*p - 5*m + 55 - 11, 4*m = 5*p - 96. Which is the second smallest value? (a) -0.4 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21020 + 31?\nAnswer: 21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w - 26. Let s be c(-8). Suppose 2*n = -5*n + s. Suppose -n*l + 87 + 13 = 0. Solve 2 = -4*x + 4*p - 6, -3*x + 5*p = l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 4*i - 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 22*l**2 - 28*l + 129. Calculate the smallest common multiple of d(23) and 86.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -88*i - 1. Let x(r) = 97*r**2. What is o(x(h))?\nAnswer: -8536*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36321 or -36323?\nAnswer: -36321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:21 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -3\/7, 1134888?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*t - 3*h, -4*t + t + 14 = 2*h. Suppose 5*g + 66 = -a, -a - 2*g - 94 = -t*g. Let w be a\/(-10) + 9\/(-15). Solve l + l - w = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 7*p**2 + 7*p + 10. Let g(m) = -m**3 + 3*m**2 + 13*m - 7. Let d be g(5). Let w be n(d). Let h(a) = 2*a**2 - a + 1. Calculate h(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/6846 and -121\/1596.\nAnswer: 260148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdkddcv. Give prob of sequence kc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 3. Suppose 2*q - 2*b = 26 - 2, 0 = -5*q - 5*b + 10. Let u be x(q). Let a = u - -21. Solve 0 = -a*v + 15 + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 57, -388.8, 4?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 94 = -187 - 57 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 925885143 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.091532?\nAnswer: -0.0183064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -32, -41, -46, -47, -44?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = 1 - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lywywlywwwll. Give prob of sequence lw.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**4\/4 - w**3\/2 + 778*w**2. Let k be (-20)\/((-21)\/(-9) + -3). Let g(f) = -2*f - 30 + 4*f + k. What is g(v(d))?\nAnswer: 12*d - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -12, 11*g = -2*w + 7*g - 194. Let o = w - -115. What is the smallest common multiple of 8 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 - -16.3. Let u = x + -14. Which is the smallest value? (a) u (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32202.73682 to the nearest 100.\nAnswer: 32200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-3 + 4))\/(-1). Suppose v = 4*k - 20, -6*z + 27 = -2*z - k. Calculate the remainder when 21 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25812*d + 25813*d - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 190 - 111. Suppose 106 = 2*j - 2*w - w, 5*w = -j + v. Let d = 61 - j. Solve -d*g = -3*q - 2*q, -1 = g - 2*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 11 + 33 - n**3 - 16*n**3.\nAnswer: -17*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 + 6*g**2 - 3*g**2)*(2 - 3 + 4)*(7*g - 36*g + 0*g) in the form l + k*g**3 + m*g**2 + n*g and give k.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33487.675 + 174.91.\nAnswer: -33312.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -21*r**2 + 23*r - 5. Calculate x(-2).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2584, -3504, -2758, -346?\nAnswer: 3732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 16*a**2 + 10*a + 47. Determine c(15).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 7. Suppose -395 = -a*s + 50. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 2, 135 in descending order.\nAnswer: 135, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = -5*k + 550, 4*q + 20 = 0. Let n be 2\/7 - (-528)\/k. Solve 7*b - 12*b + n = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 117618323\nAnswer: 58809161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaaaaaaaaaaaaaagaa. Give prob of sequence agg.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4 + 2 - t + 7. Determine h(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9683998078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 1721436.\nAnswer: 1721436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 86276 take away -170?\nAnswer: 86446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166 or -36729\/221?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**19\/y*y**(-29))**(-21) assuming y is positive.\nAnswer: y**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 8*t + 8. Suppose 4*v - 34 = 3*d - 2*d, t*d + 48 = 5*v. What is the smallest common multiple of 10 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 148?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {n: 1, y: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (18 - (-23 - -21))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 u, and 1 h when four letters picked without replacement from {u: 1, g: 3, h: 1, t: 6, e: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*g**3 - 16*g**2 + 426*g?\nAnswer: 42*g - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 10*k**2 + 6*k + 5. Determine g(10).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 357, 528, 699?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**3 - 796*t - 6 + 6 + 797*t.\nAnswer: -17*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2 + 23*k - 5. Give s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 21 = h, -3*x - 39 = -0*h - 3*h. Let y(n) = -n**3 - 17*n**2 - 6*n + 16. Is y(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*b**3*y**2 + 5*b**3 - b**2 - 20*b*y**2 wrt y?\nAnswer: -10*b**3*y - 40*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120 + (-180)\/12)\/(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/266994 and -25\/711984.\nAnswer: 2135952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - r - 1655112 - 908570, -2 = r. Is (-8)\/44 + w\/(-88) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 - 213.89. Let w = 58.89 + i. Let u = -60.11 + w. Is u at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 8 = -3*a - u, -a - 5*u - 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.504402 to 2 decimal places.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 7*d**2 + 53*d + 206. Give r(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 + 8*d)*((3 - 5 + 0)*(30 + 15 - 16) + 4 - 2 - 3 + (1 + 0 - 3)*(-2 + 4 - 4) - 3 + 1 + 1 - 1 + 3 - 1 - 6 + 1 + 4 + 2 + 0 + 0).\nAnswer: -432*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 4*t - 2*t + (1 - t - 1)*(1 - 4 + 2))*(5*t - 4*t + t) as q*t + y + a*t**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3385782 to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33545347 is divided by 1982?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15437094 and 966?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3087\/567*(-2)\/(-7).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 1. Let t(a) = 10*a - 1. Let q(m) = 3*m. Let o(k) = u*q(k) - 2*t(k). Find the first derivative of o(d) wrt d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2 + (-5 - -4). Let d be t*(3 - (-68)\/(-20)). Suppose 0 = -2*f - 0 + 2. Do d and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 8*x**2 + 3*x - 15. Determine s(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, d: 7}. Give prob of sequence dyy.\nAnswer: 28\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 2569 - 2569.1073. What is c rounded to three decimal places?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*g**3*s**3 - 10802*g**3*s - 79*s**3 - 27*s**2 - 6 wrt g?\nAnswer: 18*g**2*s**3 - 32406*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 11*o**2 - 15*o + 14. Let q = -30 - -42. Let l be h(q). Is 8 a factor of 2\/((-4)\/l)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -621240*h**2 + h + 2. Let b be r(-3). Let s = b + 3191161. Round s to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45594 and 2.\nAnswer: 45594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i - 3585 + 7155 = -4*v + 3594, -3*v - 13 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38065, 76131, 114197, 152263, 190329?\nAnswer: 228395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -0.3, 2\/241?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(200) + sqrt(200) + sqrt(200)))\/((sqrt(24) + sqrt(168)\/sqrt(112))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5258 is divided by 304.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000217890369 rounded to seven decimal places?\nAnswer: -0.0002179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -309? (a) -0.3 (b) -0.03 (c) 2 (d) 0.4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/7920 and -79\/7920.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 3*z**2 + 10*z + 1. Give o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + 111c58?\nAnswer: 111c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 3*w**2 + 0*w**2)*(w + 0*w + 0*w)*(4*w**2 - 11*w**2 + 3*w**2 + (-2 + 0 + 4)*(-3*w**2 + 0*w**2 + w**2) + 3*w - 3*w - w**2 + w**2 - 2*w**2 - w**2).\nAnswer: -22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m - 2*m)*(3 - 2847*m**2 + 1 - 12*m + 2846*m**2).\nAnswer: m**3 + 12*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 1\/18*r**4 + 0 + 1\/45*r**5 + 2*r**2 - 4\/9*r**3 + 0*r. Suppose b(n) = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -10.0872955884?\nAnswer: 12.0872955884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 2\/(-4))*974 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1231222.9 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose 0 = -7*g + a*g + 12. Suppose -2*l = -g*b - 5, 0 = -l + 4. Are b and 2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13968 - -13967.7. What is the fourth biggest value in 1, 11, n, 2\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52753 is divided by 52725.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = 2*w + 520. Which is bigger: w or -42?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11002 and 5.\nAnswer: 55010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k**2 - 49*k + 37. What is o(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2 - ((12 + -23 - 4) + (6 - 10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7186, -14458, -21732, -29008, -36286, -43566?\nAnswer: -50848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*b = 4, 2*d = -0*d - b + 6. Let u(m) = d + m + 5 - m + m. Let x be u(11). Calculate the greatest common factor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 17 + 30 = 27 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 + -85. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2239140, -4478280, -6717420?\nAnswer: -8956560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/209377?\nAnswer: -9\/209377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/3 and 32\/4863.\nAnswer: 4863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -13. Let s be (-2)\/h - 10\/15. Solve s = -v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(3 - 2). Sort 0.3, a, 2 in descending order.\nAnswer: 2, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/90 - z**4\/18 + z**3\/3 - 3*z**2\/2 + 7*z. Let h(n) be the first derivative of s(n). Factor h(i).\nAnswer: -2*(i - 1)*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 26*x**2 + 26*x + 33. Let m be h(27). Suppose -m*n - 221 = -197. Let t(w) = -w**3 - 4*w**2 - 2*w - 3. Calculate t(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 7.5, -1, 89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**5\/10 - 2*u**4\/3 - 5*u**3\/3 - 2*u**2 - 7*u. Factor b(o).\nAnswer: -2*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g = 33*g - 5*o - 50, -4*o = -g + 4. Suppose -28*p = -1740 - 1284. What is the greatest common factor of g and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15126\/7563*22\/4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 273.5 - 274. Let f = 4.97 + 0.03. What is the third biggest value in f, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -488 divided by -488\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**6\/21 + 4*s**5\/35 + s**4\/14 - 6. Factor y(l).\nAnswer: 2*l**3*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -19, 7, -5 in decreasing order.\nAnswer: 7, 0, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1084*f + 69. Is b(2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6135, -12240, -18355, -24486, -30639, -36820, -43035, -49290?\nAnswer: -55591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -0.4, -0.2, -92?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -3 (c) -5 (d) -15 (e) -7 (f) -0.55\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18141 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54895*o**3 - 14103356 + 14103356 + 1407*o**3)*(-3*o + 2*o + 3*o) as q*o**2 + r*o + t + l*o**3 + u*o**4 and give u.\nAnswer: -106976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 591*r**3*w**2 - 192*r**3 + 3*r**2 - 9436*w**2 wrt r?\nAnswer: 3546*w**2 - 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(180))*3)**2 - (sqrt(180) + 6*(-1 + sqrt(180))))*-6.\nAnswer: -9810 - 396*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 2*p + 13*o - 8448, 2*p + 2*o - 8456 = 0. Calculate the highest common divisor of p and 368.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and 78979965536198?\nAnswer: 78979965536211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2998 divided by 67980.\nAnswer: 1499\/33990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 314856518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 5*p**4\/6 - 17*p. Let y(u) = 3*u**2. Give w(y(l)).\nAnswer: 90*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 1 + 1 + 5*i + 2. Let g be o(5). Suppose 0*n - 42 = -5*n + 3*b, 0 = g*n + 2*b - 16. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-4*m + 7*m - 15*m)*(-4 + m + 4).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6443 + 12485. What are the prime factors of c?\nAnswer: 2, 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**5 + 224*f**4 - 4672*f**3 + 44032*f**2 - 180224*f + 262144 = 0?\nAnswer: 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684084 a multiple of 2578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*u - 54 = -3*l, 5*u = -15. Put l, 0, 3 in descending order.\nAnswer: l, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**2 + w - 28*w**2 + 0*w - w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(76))**2 - sqrt(76)) + sqrt(76) + 3 + (5 + sqrt(76) + sqrt(76)*2)**2.\nAnswer: 52*sqrt(19) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 853, 1696, 2539, 3382, 4225?\nAnswer: 5068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - 4\/2 - -83?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000882 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*r**6 + 70*r**6 - 488*r**2 + 263*r**6 wrt r.\nAnswer: 78360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((13 - 22) + 1 + 0) - -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus 584923049?\nAnswer: -584923037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1)*(-3*t - t + 2*t)*(0 + 4 - 2)*(-1 - 1 - 1) + t + 2*t - 4*t.\nAnswer: 47*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3 - 54*d**2 - 192*d - 184 = 0?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 35669?\nAnswer: 35669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**25)**(2\/65))**21 assuming p is positive.\nAnswer: p**(210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -2*w - 3, 6*w = -5*z - 25 + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/1469, 0.5, 5, -0.3, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (1146\/(-350) - 0). Let g = -11\/25 + c. What is the common denominator of g and -2\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26602 smaller than 30074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.16.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*j**4 + 4*j + 451 wrt j?\nAnswer: 76*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12229 - 0.869.\nAnswer: -12229.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27852404 or 27852402?\nAnswer: 27852404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62517890 is divided by 7417?\nAnswer: 7414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 t when four letters picked without replacement from tctlllccslt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650 and 15230325?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 58 + 11 + 5*i + 17 + 15.\nAnswer: 5*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p. Suppose 4*g = -3 + 7. Let o be n(g). Suppose 4*f - 2*f - 34 = -5*k, 2*k - f - 10 = o. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/5 + 100*r**4 - 1752*r**3 + 8128*r**2 - 14672*r + 46272\/5 = 0.\nAnswer: 2, 12, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*l*p**2 + 138*l*p - 13594*l with respect to p.\nAnswer: 240*l*p + 138*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 51*u**3 + 4*u**4 - 1 - 55*u**3 + 1.\nAnswer: u**2*(2*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in milliseconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4283993 rounded to two decimal places?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 22 in increasing order.\nAnswer: -2, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k - 1. Let i be t(2). Suppose 0 = -3*j - i*z - 18, -j - 5*z - 8 = 8. Let c be (0 - j)\/((-21)\/(-42)). Solve -3*o = -3*v, 3*v - o - 16 = -c*o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358 a factor of 9712416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*h + 1141 = -520 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-60) + 549\/15. Let o = l + -34. Solve -21 = o*b - 8*b - 3*u, 0 = -2*b + 3*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 = -y - 6*l, -12 = 2*y + 3*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1072 = -l, -x - l - 2*l = 281. Let s = -1429 - -1267. Let b = s - x. Does 37 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 5*b. Let x(f) = -f**2 - 5*f + 6. Let p be x(-5). Let w = -72 + 75. Let z be 4*w\/p - 7. What is y(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/216*-18*2\/(-18)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + (-19 - -6) - 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.461248 and 5.\nAnswer: 5.461248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/33 and -50\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/3 + 122*b**2 + 1488*b + 7480\/3 = 0. Calculate b.\nAnswer: -170, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f + f)*(1 - 2 + 0) + (-13 + 2 + 7)*(2*f - f + f).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17840*c**4 - 1066*c**2 + 40876050*c wrt c?\nAnswer: -214080*c**2 - 2132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 4*f - 4*f + 664*f**2 - 704*f**2.\nAnswer: f**3 - 40*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + l + 2. Let y be r(0). Suppose 0 = -18*b + 80 - 8. Let w(m) = -4 + y + 0*m + 5 - b*m. Let a(s) = 21*s - 15. Calculate 2*a(j) + 11*w(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 128*b + 130 = 0.\nAnswer: -65, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -2, 0, 377201 in descending order.\nAnswer: 377201, 0, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 8, 3, 87, 0.\nAnswer: 0, 1, 3, 4, 8, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -11, -13, -13, -11?\n\"Answer: c**2 - 7*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -17725?\nAnswer: 7090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4, 11, -5, -4, -381 in increasing order.\nAnswer: -381, -6, -5, -4, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-265123)\/(-12) + (-17)\/51. Let c = 624409\/28 - n. Let i = c - 207. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 160000 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 449*c**7\/210 + c**5\/60 + 7615*c**3\/6 + 7405*c**2. What is the derivative of g(h) wrt h?\nAnswer: 1796*h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4, -38 = -p - p - 4*m. Suppose -2*a - q - 2 + 0 = 0, 3*a - 3*q - p = 0. What is the smallest common multiple of (4 - 0\/4) + a and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -206, -415, -614, -797, -958?\n\"Answer: r**3 - r**2 - 213*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13361885.\nAnswer: 5, 2672377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 58) + (13 - -12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**7\/735 + y**6\/210 - y**5\/210 - y**4\/42 - 2*y**2. Factor g(n).\nAnswer: 2*n*(n - 1)*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - ((0 + sqrt(1053))*2 + sqrt(1053)))*-6 - ((sqrt(1053) - ((sqrt(1053) - (sqrt(1053)*-2 + sqrt(1053))) + -5))**2 - -3*1*sqrt(1053)).\nAnswer: -1078 + 171*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -9.4. Let y = -4 - x. Let q = 0.6 + y. What is the second smallest value in 4, -1\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.0325, 59, -947, 0.1?\nAnswer: -0.0325","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j**(1\/5))\/(j\/j**(-18)*j*j\/j**26) assuming j is positive.\nAnswer: j**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 325 + -322. Solve -5*i - q = 3*c - 14, -i + 3*c = -13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2*(7 - 5))\/((-4)\/10) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 116715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (3 - 15) - (5 - 7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-456)\/180)*8\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14323335115 take away -5.5?\nAnswer: 14323335120.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5512547 to 2 dps.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -361788635 divided by 13?\nAnswer: -27829895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(68)*-2)**2)*6 - -1*((sqrt(68)*-1 + 5)*-4)**2.\nAnswer: -320*sqrt(17) + 3102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(720) + -3 + sqrt(80)\/sqrt(4))**2.\nAnswer: -56*sqrt(5) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b**2 + 7*b - 15. Let h(u) = -6*u**2 + 3*u - 7. Let z = 10 + -6. Suppose 101*q = 38*q - 567. Determine q*h(v) + z*d(v).\nAnswer: 2*v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10*x - 5*x + 6024 = 0, -12*t - 2*x + 24162 = 0. What is the greatest common divisor of t and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -288 + 168. Let w = z - -50. Let u = -17 - w. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 9 = 3*j. Suppose 4*k = 2*k + j*s + 1, k = s + 1. Suppose -3*g + 75 = -5*w, k*w + 114 = 2*g + 2*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**3 + o**2 - 1. Let v(x) be the first derivative of -x**2\/2 - x - 1. Let w(t) = t - 4. Let r be w(4). Let f be v(r). Calculate h(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 14 + -9)\/(3*2\/(-15))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 67\/(-3) - 1909\/996*-12. Factor 0 + 0*t**2 + 2\/3*t**4 + o*t**3 + 0*t.\nAnswer: 2*t**3*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 19*b + 2. Let r be l(19). What is the closest to 2\/5 in 1\/5, 12, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 4) in base 3?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9060 and 50003952.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28528691 is divided by 27222.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/31 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-15) - 2)\/((-3)\/270). Calculate the smallest common multiple of 5\/((-67)\/r - -2) and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k*k)\/k)**(-3)\/(k**1)**29 assuming k is positive.\nAnswer: k**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 139\/5 + 4\/20. Suppose -g + f = 3*g. Let b(o) = 2*o - 5. Calculate the remainder when g is divided by b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -20 - (-118)\/(-24)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32749 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-9 - -3) - (-5778 + 1). Let y = i - 3772. Let m = y + -351. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -7798*h**2. Let k be u(1). Let y = k + 15635. Suppose -2*q - 5*x = q - y, q + x = 2611. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l + 7. Let v = 6 - l. Suppose 0 = 4*k - v*j - 69, 3*j = -3*k + 2*j + 42. Is k 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 101020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpsk. What is prob of sequence pkk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmmmmmcmmccmmmmm?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 194*i. Let h(u) be the first derivative of -u**5\/120 + 14*u**3\/3 - 32. Let o(b) be the third derivative of h(b). What is q(o(m))?\nAnswer: -194*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 643\/11, 0, 1\/7, 3, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12861, -12859, -12859, -12861, -12865?\nAnswer: -12871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -9. Let q = 1\/158 - -629\/474. Which is the closest to q? (a) i (b) -2\/23 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 139 - -1?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i = -27*i + 12, 4*l = 5*i + 8407. Suppose -39*t = -41*t + l. What are the prime factors of t?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -88110, 1, 5, 6.\nAnswer: -88110, -4, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*p - 4*n, 12*n - 13 = -5*p + 15*n. Let y(x) = -x**2 + 3*x + 3. Give y(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o - 3. Let b(c) = 6*c + 10. Let k(r) = -40*r + 510. Let f be k(13). Calculate f*u(t) - 3*b(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -3. Factor 3*u**2 - 54*u - h + 42*u - 6*u**2.\nAnswer: -3*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*x - 9*x + 4*g, 4*g = -4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1084 (b) -1\/3 (c) -262\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*b + b - 136 = 0, 0 = 1700*b - 3391*b + 1696*b - 15 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3 and 0.155553868.\nAnswer: -1.144446132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from zvvzvvzvbbvv?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*l**3*o**3 - 16*l**3*o + 8*l*o**5 - 20*o wrt o?\nAnswer: -90*l**3*o + 160*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d*(d\/d**(-1\/27))\/d*d)**(1\/14) assuming d is positive.\nAnswer: d**(68\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 20. Suppose -18*k + 15*k = -30. Suppose u = k - 0. Let w be z(u). Solve 2*x = -2*r - w, 4*r + 3 + 11 = 2*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 4*u**3 + 2*u**3 - 21*u.\nAnswer: 6*u**3 - 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04638037588 to five decimal places.\nAnswer: 0.04638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 20 = -2*j. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8368957 or 8368956?\nAnswer: 8368956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 13742, 5 in decreasing order.\nAnswer: 13742, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnccundciinn. Give prob of picking 1 i, 2 u, and 1 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + (1*sqrt(612) + sqrt(612))**2 - sqrt(612) - (sqrt(425) + (2 + sqrt(425))**2 + sqrt(425) + sqrt(425)).\nAnswer: -35*sqrt(17) + 2019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 491*l + 417*l + 88*l - 32868 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-3)\/(2604\/4030)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1716527487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-174)\/3712*-96)\/((-10)\/36) + 5.\nAnswer: -56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -11*o**5\/60 + o**4\/24 - o**3\/6 + 7*o**2. Suppose 0 = 4*g + 16, 1 = -3*z - 0*z - g. Give h(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 20*w + 30. Let v be y(18). Let a be (4 - 3) + v\/(-12)*-2. Solve -b + 10 = 2*h, -4*b = -4*h - a*h + 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/140)\/(-6*84\/224).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18.087294s?\nAnswer: 0.3014549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away -268?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 71. Suppose -5 = 2*l + 3*l, 5*z + 4*l = m. Let k(n) = -4*n + 4*n - 6 - n - z*n - n**2. Determine k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-2)*5\/(-10). Suppose j = -6*w + 3*w. Let a be (1 + 3\/w)*0. Solve a = -t - 2*t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4028 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -258 - 3*r + 112 - 7*r**3 + 5*r - 325 + 6*r**3 to the form c*r + s*r**3 + l + j*r**2 and give l.\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 698, 702, 706?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 10. Let g be i(-7). Suppose 0*p = -g*p + 75. Let m be (-3)\/(-9)*(-11)\/((-88)\/48). Solve -3*f - m*f = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/19)*x)\/(x*x\/(x**(3\/10)\/x))*(x**1)**(11\/4))**(-3\/11) assuming x is positive.\nAnswer: x**(-1317\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5250 or 5\/9?\nAnswer: 5250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(2\/7)*l\/(l**(-1\/3)*l)*l*(l*l*(l\/l**(-1\/4)*l)\/l)**(2\/11) assuming l is positive.\nAnswer: l**(1483\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 - 6*l. Suppose -45 = -5*o - 4*o. Let b(h) = -6 + h - 4 + 15 - o. Suppose 3*t - 2 = n - 0*n, 5*n - 3 = 2*t. Give n*i(k) + 6*b(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 + 5 - -59 - -54?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**2 + 2*p**4 + 3150*p**3 - p**4 + 3 - 3192*p**3 - 2 to the form j + u*p**3 + h*p + a*p**4 + y*p**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 - 40*c - 7. Let a be n(-10). Let f(i) = -9*i - 5. Let b(w) = -4*w - 2. What is a*b(j) + 3*f(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/15 - j**4\/6 + j**2 + 2*j. Let x(b) be the first derivative of q(b). Find the second derivative of x(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) 36 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.04, -3\/2, -1\/3923, 2, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 11*o - 12. Suppose -c - 2*k = c - 20, 5*c - 58 = -k. Let h be d(c). Suppose h - 9 = -3*l. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*c**4 + 3*c**3 - c**2 - 60*c + 512113 with respect to c.\nAnswer: 100*c**3 + 9*c**2 - 2*c - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 6 + 10 = 3, -4*r - 58 = -2*j for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000479 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -87 * -0.02.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:47 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-65)*15\/(-6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-29) - 261208620\/2610. Round t to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 1125234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57ad (base 15) in base 8?\nAnswer: -44265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 - 92*p - 191. Let u be j(25). Solve 3*i + d - u = 7, 0 = 2*i + 3*d - 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16981?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 29\/3*k**4 + 17\/9*k**5 - 76\/3*k**3 - 28\/9*k**2 + 0 + 0*k = 0?\nAnswer: -7, -2\/17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 13*w. Let f be i(8). What is the highest common factor of 56 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48671467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3454 and 264?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 298*u + 49*u - 36*u as v*u + s and give v.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44631 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = n - 8, n + 2 = 2*d - 0. Find the second derivative of a - 3*a**d + 2*a + 0*a + 0*a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 282.5 + -282.1. Let d = -4 + 2. Which is the nearest to d? (a) 1 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 15, 5*w - 164 + 147 = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (146\/8*4)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.8 - -28.5. Let j = 64 - v. Suppose 0 = -3*d + 6. Which is the nearest to d? (a) -1 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(1\/3)\/i*i**(-2\/9)*i**6*i**(1\/8))\/(i\/(i**(2\/11)*i)*i**8)**(-2\/15) assuming i is positive.\nAnswer: i**(32783\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-8) - (-1)\/(-2). Let m = h + 6. Suppose -5*a - 5*c - 84 + 269 = 0, -m*a = 4*c - 113. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 - -267. What is the third smallest value in 0.5, -2\/7, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1\/2*-4) + 2. Let m(x) = 49*x**2 - 29*x**a - 23*x**2. Let d(s) = -17*s. Give m(d(q)).\nAnswer: -867*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28930.\nAnswer: 2, 5, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-6)*45\/10*(-231)\/(-495)*-5.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = 4*s - 1, -4*s = 4*q. Let v be 55\/11 - 0\/q. Solve 4*y + 3*j + j - 16 = 0, 5*j = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzyy when four letters picked without replacement from {z: 3, y: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktff when four letters picked without replacement from {t: 1, w: 5, f: 4, k: 8}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 360 = 18*n. Is n a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*j**5 - 13*j**3 + 12*j**2 - 305*j - 52.\nAnswer: 440*j**3 - 78*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 34 = -3*y - 5*z, -4*y - 5*z = -65. Suppose -2*w + y = -0. Suppose -s + 36 = -w*g, -s + 3*g + g = -32. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 157, 1508, 5, 7 in descending order.\nAnswer: 1508, 157, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 59?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-65*x - 4862 + 4862)*(24 + 27 - 20) to w*x + h and give w.\nAnswer: 4030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 3. Suppose 8 = 9*q + 80. Let l = k - q. Let a(d) = 2*d - 4. Give a(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -16.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i + 198. Give a(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737497273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(((-35)\/(-20))\/7). Let j be 54\/24 - 4\/z. Suppose -j*a - 12 = -166. Calculate the greatest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/9 + 6*h**3 - 500*h**2\/9 + 200*h - 2000\/9 = 0.\nAnswer: 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakkakoao. What is prob of picking 2 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(1 + 2 + -1). Let h(x) = -11*x - 4. Let k(j) = 32*j + 11. Give z*k(y) + 11*h(y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -12*y - 64 + 83 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 - 2*v - 2. Let b be q(-2). Let j be 4 - ((-8)\/4 - b). Do 2\/3 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 3*g**2 - 4*g**3 + 107729 - 107746.\nAnswer: -4*g**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -8. Let m = 22 - a. What is the lowest common multiple of 22 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1) + 458\/92*(-124 - -122)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 436 + -424. Suppose 5*d - 5*k - j = 138, -5*d + 138 = k. Calculate the remainder when 62 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23743726.\nAnswer: 2, 167, 71089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13944503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (55760\/4182)\/((4\/(-3))\/2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 50544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (95\/228)\/((-195)\/24 + 10). What is the fifth smallest value in p, 1\/9, 1\/5, 4.2, -2\/3?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(-46) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4\/4 + 11*o**3\/3 - o**2 - 11*o - 4. List the prime factors of y(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149535 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(6\/5)*d*d*d**13\/d*d)**36)**(-1) assuming d is positive.\nAnswer: d**(-2916\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmlmmllmfmmmfmfflm. Give prob of picking 2 m and 1 f.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2, -1\/1116?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1752 is divided by 186.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 91*h**2 + 4359*h - 7669. Give r(-36).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 856*t**4 - 19017*t**3 - 3*t + 98609596 wrt t?\nAnswer: 3424*t**3 - 57051*t**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*k + 65*k + 49*k**2 + 69*k - 408*k**2.\nAnswer: -359*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let r(p) be the first derivative of -p**6\/72 + 4*p**3\/3 + 4. Let a(o) be the third derivative of r(o). Determine x(a(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, q: 8, o: 2, c: 2}. Give prob of picking 2 c and 1 w.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 544 and 315456.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8993 + 0.1007. Which is the smallest value? (a) -0.07 (b) x (c) -4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (84\/63)\/((-12)\/(-3483)). What is the highest common divisor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 86*m = 90*m + 17, -6 = 4*q + 2*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4040111233 (base 5) to base 14\nAnswer: 111862b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1808\/2035 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 - (3*(-1394)\/(-51))\/(-148)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5075315*b*x**4 + 41*b*x**3 - 3*b*x**2 + 2089*b*x + 2*b - 3*x**2 + x + 3 wrt x.\nAnswer: 121807560*b*x + 246*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v - 41*v = 191 + 223 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m**3 - m**3 + 354*m**3 + 194*m**3.\nAnswer: 518*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 125 divided by -107981\nAnswer: -125\/107981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) - 44\/(-28). Let g = 15 - 15.4. Which is the closest to 1? (a) 2\/3 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1348.25 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51582 - -4539283\/88. What is the common denominator of g and 57\/128?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -4, -2\/37, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5223.\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 30*r - 19*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**8\/336 + 1349*s**7\/210 - s**5\/15 + 203*s**4\/6 - s**3\/6 + 1961*s**2. What is the third derivative of o(k) wrt k?\nAnswer: 60*k**2 + 32376*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8400485 less than 4?\nAnswer: 4.8400485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 253.3 - 180. Let h = 173 - 100. Let a = z - h. Sort 1\/7, 1, 2, a.\nAnswer: 1\/7, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26681*i + 24599*i - 17600*i to the form s + l*i and give l.\nAnswer: -19682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 17 - 7 = 0. Let r(a) = 45 - 51 + 0*a - 13*a. Let x(o) = -37*o - 16. Let m(n) = -17*r(n) + 6*x(n). Determine m(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18770?\nAnswer: 2, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3756*n**5 + 22576*n**4 + 2914416*n**3 - 53576*n**2 - 2910660*n + 31000 = 0.\nAnswer: -25, -1, 10\/939, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110*z**5 - 217*z**2 + 744*z**2 - 20*z**5 + 329*z**2 - 447*z**5 wrt z.\nAnswer: -34620*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)*(0 - 1). Let g(d) = d. Let p be g(m). What is the smallest value in p, -0.2, -1\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 3 - d - 13629*d**3 + 13628*d**3 + 49*d**2 + 2*d to z*d**2 + t + k*d**3 + g*d and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x + 5*s = 240, -4*x = -3*s - 480. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157926712?\nAnswer: 2, 17, 139, 61253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -109*m. Let x(p) = -127*p. Let k(v) = 7*g(v) - 6*x(v). Let w(t) = -3970*t. Calculate w(k(c)).\nAnswer: 3970*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (682 - 494 + 558)*(1 - 1 + u) as c*u + k and give c.\nAnswer: 746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/1*(-20)\/8. Let p = f - -7. Suppose 5*y + p + 21 = -2*m, 5*y = -m - 24. Solve b = -l - m, b - 1 = 4*l - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.9 + -47. Let t = r - -0.1. Let c = t + -2. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(36)*6)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 8*l**2 - 8*l + 15. Let f be b(7). Suppose -4*y - 4*u = -f*y + 108, -4*y + 5*u = -107. What is the lowest common multiple of y and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -44. Let o(j) = -j**3 - 8*j**2 + 7*j - 11. Let q be o(-9). Calculate the highest common factor of q and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/((-3)\/(12\/16))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 70. Let h = -43.42 - 5.18. Let o = h + s. What is o rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 9.7. Let r = 0.8 + 0.2. Which is the nearest to 2\/3? (a) 1\/7 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 13\/24*i**6 + 0*i + 0*i**4 + 0 + 0*i**3 + 59\/60*i**5 + 55*i**2. Find the third derivative of a(o) wrt o.\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*i - 3425 = -72*i + 53*i. Solve 0 = 22*a + i + 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4420 - 4386) + (-1 - 7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2 - 4*d - 3. Let l(p) = -7*p**2 - 5*p - 4. Let h = 235 + -229. Give h*a(k) - 5*l(k).\nAnswer: -k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 42*m + 41*m + 678 = 0, 3*m - 344 = -2*v. Is 169 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 a when three letters picked without replacement from ttttaltlll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**4\/12 - 4*f**3\/3 - 25*f**2\/2 - 745*f - 1. Determine w(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 8:20 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.25 - -4.25. Which is the second biggest value? (a) z (b) -0.01 (c) 0.11 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w + 65. Let x be j(-11). Solve 3*m - 2*o = 12, -16 = -4*m - x*o + 5*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*m = 8*m + 25, 0 = 3*w - 3*m - 15. Let c = 3037.901 - 3043. Let v = c - -0.099. Put -12, w, v in decreasing order.\nAnswer: w, v, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuzreu. What is prob of sequence zrez?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.9259 - -0.0741. Which is greater: a or 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 - 24*b**2 - 56*b = 0. Calculate b.\nAnswer: -2, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14)\/(f\/(f\/(f*f*f**(-17\/4)))))**20 assuming f is positive.\nAnswer: f**(-235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)\/y)\/y**(2\/3)*y**(-3)\/y*y**(-4\/9))\/((y*(y*y**(2\/11)*y)\/y)\/y**6)**(-34) assuming y is positive.\nAnswer: y**(-67087\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 47*x**2 + 314*x + 6109. Determine h(-43).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhvh when four letters picked without replacement from {v: 2, h: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + 17. Suppose -2*z + 3*f + 38 = -3, -4*z - 2*f = -r. Solve 1 = -4*b + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.44524 rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = -5*l + 613, -4*l - 1299*x - 72 = -1301*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 510 + 510 + 9*s - 9*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10842*a**3 + 5421*a**3 - 17 + 5417*a**3.\nAnswer: -4*a**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 92?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1022\/(-803)*(-88)\/(-16)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*4\/(-8) - 297\/55. Let x = 1 + -5. Let d = 5.2 + x. Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**4\/4 - 5*l**3\/6 - 17*l**2\/2 - l. Is a(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11 and 0.038845804.\nAnswer: -10.961154196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:59 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3171, 6339, 9507, 12675?\n\"Answer: 3168*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.49\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3}. What is prob of picking 2 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 10. Let z be (4\/(-2))\/((-5)\/(-20)*28). Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 842779.207 - 846454.1. Let x = g - -3675.00290894. Let o = x - 0.1099. Round o to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v**2 + 5*v + 21491. Let h(d) = 8*d. Calculate h(m(q)).\nAnswer: 64*q**2 + 40*q + 171928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 7 = q - 15, 7 = -3*l - 4*q. Suppose 0 = -l*b - 0*b - 3. Is b\/((-3)\/42) + -2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7045253 is divided by 1761311.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.24789814 rounded to 1 decimal place?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12755186.\nAnswer: 2, 29, 219917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.86 - 56.\nAnswer: -48.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*c - 2 + 5 - 33 + 30.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.81451 micrograms to milligrams.\nAnswer: 0.01081451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 25*v**2 - 6*v + 92. What is o(-25)?\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87 and -1.649.\nAnswer: 143.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.47 + 0.83. Let l = -1.7 - z. Let s = 0 - -0.5. Which is the nearest to 0.1? (a) l (b) -2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.99 - 0.01. Let n = 5 + c. Let b = n - 3.5. What is the closest to 1 in b, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*f**2*g**3*s + 25*f**2*g**2 - 9*f**2*g*s + f**2*s**2 + 59*g**3*s**2 - 3*g**2*s**2 wrt g.\nAnswer: 144*f**2*s + 354*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1108*m**3 + 4*m**2 - 2*m + 95441.\nAnswer: -6648*m + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 7:48 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/300 and -89\/400.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77.5 + 78.5. Which is the biggest value? (a) 12 (b) 2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 11*b**2 + 10*b + 19. Let u(l) = -2*l**3 + 23*l**2 + 21*l + 39. Let a(x) = -7*t(x) + 4*u(x). Determine a(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3117 is divided by 348?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egt when three letters picked without replacement from {t: 3, k: 1, g: 7, e: 5, r: 2, z: 2}.\nAnswer: 7\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 4*d + 2. Let k be (-2)\/(-7) - 6\/21. Let x = -4 - k. What is w(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = 2*k - 0, -5*t = -2*k + 12. Let w be 4\/(-2 + 1)*1\/(-4). Put w, t, 0, 4 in decreasing order.\nAnswer: 4, w, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-3)\/(2 + -5). Let s(x) = -10*x + 1. Is s(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**5\/30 + 5*x**4\/24 - 5*x**3\/3 - 1. Let b(m) be the third derivative of s(m). Differentiate b(k) with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 10 - 20. Let r(y) = m*y + 6*y - 14*y. Let a(u) be the third derivative of u**5\/20 + u**2. Calculate a(r(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (29034\/(-15))\/(27\/(-90)). Let k = x + -31594\/5. Factor 378\/5*c**3 - 72\/5 - k*c**2 + 384\/5*c.\nAnswer: 6*(3*c - 2)**2*(7*c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -122*q**3 + 8*q**2 + 6. Let b(m) = m**3 + 2*m**2 + 2. Give 3*b(d) - g(d).\nAnswer: 125*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19891691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*o)*(2*o**3 + o - o) + 2*o**3 - 2*o**3 + 2*o**4 - 2*o + 2*o - 2*o**4 + 46*o**4 - 92*o**4 + 47*o**4 - 81*o**3.\nAnswer: -3*o**4 - 81*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/60*2\/8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4014106 at least -4014110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12772511*m**2. Let k(n) = 2*n. Calculate q(k(s)).\nAnswer: -51090044*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392801 = -18396*i + 18427*i. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 836?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_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: Calculate 10\/80*8\/6*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 12*j**3 + 24*j**2 + 48*j + 36. Let d(k) = -k**3 - 3*k**2 - 3*k - 1. Let p(z) = 44*d(z) + 4*n(z). Factor p(o).\nAnswer: 4*(o - 5)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53483.\nAnswer: 79, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**2 + 9*f - 9. Let h(v) = -11*v**2 + 19*v - 18. Let x(l) = -5*b(l) + 3*h(l). Factor x(g).\nAnswer: -3*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(60)\/sqrt(5))\/sqrt(6) + -2.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 u when four letters picked without replacement from {a: 4, m: 3, u: 1, g: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6440081, -12880158, -19320235, -25760312?\nAnswer: -32200389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, -46, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.971 to 1 dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.585, 0.48, 1 in decreasing order.\nAnswer: 1, 0.48, -0.585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -20, -2\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5267\/143 + 480\/13. Put f, -4, 1\/5 in decreasing order.\nAnswer: 1\/5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-0.0802.\nAnswer: 1.4436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1678 + 4.1678. Let h = 0.7 - -0.1. Let y = 0.5 - h. Which is the closest to -1? (a) r (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 322\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2208\/2024*55\/105.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 divided by 4?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - c**2 - c. Let h(n) = -4*n**3 - 2*n**2 - 2*n - 15. Let q(i) = -h(i) + 2*t(i). What is the derivative of q(o) wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 176, 235, 318, 425?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2058*k - 6972 wrt k.\nAnswer: -2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 613109703 plus -1.2215?\nAnswer: 613109701.7785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2)\/(35 - 27).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + 2*sqrt(102))*-3 + sqrt(102))\/(sqrt(48)\/(sqrt(16)\/sqrt(2))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 + -69. Let v = i - 69. Put 1, -5, v, -4 in ascending order.\nAnswer: -5, -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*j**5 + 0*j**5 + 5*j + 5*j**5 wrt j?\nAnswer: 300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*v + 4*v + 30*v + 4*v as g*v + z and give g.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 57409 + 119054 = 9*b. List the prime factors of b.\nAnswer: 7, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6958.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7685364 and 1773?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4046420 and 16516?\nAnswer: 4046420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -3. Let x(m) = -2*m + m - 2*m + k*m. Let j(r) = 1390256 - 1390256 + 3*r**2. What is x(j(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.7, -3, 0.1, -1\/7, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 462, 458, 454, 450?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 221, 329, 435, 539, 641?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2071)\/4578 + ((-12)\/7 - -2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*s + 28 = 0, -4*v + 32 = -3*s + 12. What is the smallest common multiple of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178636298 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728510?\nAnswer: 2, 5, 263, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03670368 and -218540.\nAnswer: -218539.96329632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2563922 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 - 198 + 106)*(0*x - x + 0*x)*(-3 + 2 - 1).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 11*x + 12 = 7*x, 0 = 3*x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58497.\nAnswer: 3, 17, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5575811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 4:49 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232801?\nAnswer: 1232801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**4 - 5*f**3 + 3*f**2 + f. Let q(k) = 4*k**4 - 21*k**3 + 13*k**2 + 3*k + 1. Let l(d) = -18*a(d) + 4*q(d). Factor l(c).\nAnswer: -2*(c - 2)*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*f - 71 = -0*r, 3*r + f - 77 = 0. Suppose 5430 = r*x + 555. What are the prime factors of x?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**4 + 775 + t**3 - t**2 + t - 2*t**4 - 774 to the form u*t**4 + i*t**2 + l*t + a*t**3 + x and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 take away 74?\nAnswer: -73.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hih when three letters picked without replacement from {i: 11, h: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*(1*sqrt(18) + -1 + -1*(sqrt(8) + -2)) + 4)*5)**2.\nAnswer: -200*sqrt(2) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b1 (base 16) to base 14.\nAnswer: 22d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/7 + 13*p**4\/7 + 46*p**3\/7 + 12*p**2\/7 - 72*p\/7 = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 250*n + 2205. Calculate r(10).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95535.\nAnswer: 3, 5, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(143)*-1*2 - sqrt(143))*1)\/(((sqrt(165) + (sqrt(165) - 1*sqrt(165)))\/sqrt(5))\/sqrt(192)).\nAnswer: -96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3985, 3984, 3983, 3982, 3981?\nAnswer: 3980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 37*m**2 + 205*m + 69 + 5*m**2 - 100*m. Let f(c) = c**3 - 41*c**2 - 102*c - 68. Let d(w) = -3*f(w) - 4*t(w). What is b in d(b) = 0?\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1169975*x**4 + 71*x**2 - x + 294 wrt x.\nAnswer: -28079400*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 2 + 7. Let u be (x - -9)*(-1)\/(-2). Solve 0 = -4*v + 5*q - 6, -11 = u*v + 5*q + 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -1427, -2346, -3285, -4250, -5247?\nAnswer: -6282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 935*s - 4671. Let k be g(5). Let q(m) = -m**2 + 3*m + 4. Let w be q(4). What is the first derivative of -34 - 27*f**k + 25*f**4 + w wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*t - 17 + 1082 = 0, 3*t - 1025 = -5*k. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-21))\/4*-1. Let n(q) be the second derivative of -y*q**2 + 2*q + 1\/7*q**3 + 0 - 1\/14*q**4 + 1\/70*q**5. Determine a so that n(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 27*h = 550. Calculate the least common multiple of h and 2\/(-2) + 26\/2.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.085\nAnswer: -0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -57137.3 rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 347303+-133.9\nAnswer: 347169.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = -3*d + 18*k + 6, 3 = d - 2*k for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -9. Let d = r + 5. Suppose d*n - 4*n - 24 = 0. Let o(c) = -c**2 - 6*c + 3. What is o(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*t + 2*p - 13, -p = 3*t - 11. Suppose 1 = -o + t. Let z = 13 - o. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 7 - -52 - -3. Suppose -5*n + 3*q = -345, -2*n + l = 2*q - 62. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1 + y**2 + 7 - 4. Let z be t(0). Let u = 8 - z. Solve u = 3*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5440 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 864153 to the power of 1\/2, to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 604 + -380. Suppose 3*l + 4*d = 2*l + m, 4*l = d + 828. What is the greatest common divisor of l and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102\/5 + -21. Let o = 0.07 - 14.07. Let r = 19 + o. Which is the smallest value? (a) l (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -126809?\nAnswer: 126814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + (-1*sqrt(143) - sqrt(143)))*-5 + sqrt(143) + (sqrt(143) + sqrt(143)*2 - sqrt(143))*-5)\/(-5*sqrt(539)*4).\nAnswer: sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1496 and 302152.\nAnswer: 56502424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k*r**2*x + 20*k*x + 139*k + 6847*r**2*x wrt r?\nAnswer: -4*k*r*x + 13694*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 4*t**2 + 5*t + 23. Determine z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16270.\nAnswer: 2, 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 94 (b) -0.3 (c) 49\/2 (d) -948\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 7*b**2 - 2*b - 9. Let o be y(-7). Suppose -26 = o*g + 4. What is the units digit of (g\/5)\/((-15)\/100)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2, 24\/16435, 0.5, -4?\nAnswer: 24\/16435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 1615170?\nAnswer: -1615169.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - (-650)\/60) + 3\/18. Solve 3*i = -2*n, 2*i + 4*n = w - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395, 766, 1109, 1424, 1711?\nAnswer: 1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 292277 and 153830?\nAnswer: 2922770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1\/(-2) - -1). Let q(y) = 0*y + 0*y + 4 - y**2 - 3*y + 0*y**p. Calculate q(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 11*b**5\/5 - 3*b**2\/2 - 349*b + 329. What is the derivative of r(y) wrt y?\nAnswer: 44*y**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 1256717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20331286?\nAnswer: 2, 17, 283, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 9. Suppose v*b + 0*b = 120. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 10*a + 13. Determine h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2.14, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**3 + 37*k + 8. Let a(v) = 8*v**3 + 38*v + 7. Determine -7*a(t) + 6*s(t).\nAnswer: -2*t**3 - 44*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2 + 3*u - 4*u**2 + 3*u**2 - 6 + 1. Determine d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + n + 13*q = 16*q + 40, 0 = -3*q - 36 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/18*3*29\/(3770\/16)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18594623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnnnwnmwmmwwmwwc. What is prob of picking 1 w, 1 c, 1 m, and 1 n?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 18*c + 33. Let i be a(16). Suppose q - i = 2. Solve 6*s + q = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 at most -1163\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -339412770 rounded to the nearest 1000000?\nAnswer: -339000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 7. Give f(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/(-8)*(3 - 5). Suppose 0 = 9*m - h*m. Solve m = 4*q - l - 0*l - 10, 2*q - 12 = 4*l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40956*a - 42565*a = -175381 for a.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616 - -909. Is 280 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12905*w - 3 + 12865*w - 38704*w + 12892*w + 3.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -2\/13 (b) 37\/3 (c) 5 (d) 0.306 (e) 2\/9 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -63202482 and 7058.\nAnswer: -63195424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/8)\/(2\/8). Let p = 1450 + -5799\/4. Which is the third biggest value? (a) v (b) p (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 164, -3, -2\/5 in decreasing order.\nAnswer: 164, -0.01, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*d - 2*q, -2*d - 4*q = -0*d - 76. Suppose -4*i + 6 = d. Let t(a) = a + 10. What is the smallest common multiple of 4 and t(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 31\/(-29) - (1 - 2). Let s be 1\/5*0*3\/6. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.007, 3, -24, -4.\nAnswer: -24, -4, 0.007, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(858\/117)\/(-22)*(-22)\/12?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 - 23063067*i**2 + 44325502341165*i - 310277386298901 = 0 for i.\nAnswer: 7, 3843841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 1 = g + x, 3*g - 4*x = 214. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1692.08 - -0.4.\nAnswer: 1692.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780655 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38733.35967 rounded to the nearest one hundred?\nAnswer: -38700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 0)*2\/(-3714 + -2). Let i = -14854\/4645 - l. Suppose -6*t = -4*t + 6. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8794085, 17588001, 26381917, 35175833, 43969749, 52763665?\nAnswer: 61557581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 c, and 2 e when four letters picked without replacement from cccbcgecoeggbggcgcbb?\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 10:38 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttmikttttbtiiitvi. What is prob of picking 1 i and 1 b?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -2\/3. Is -7 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260\/657 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13564, 1\/282, 6?\nAnswer: -13564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(6))**2 + -2 + (sqrt(408)\/sqrt(8) + sqrt(51))\/sqrt(3) - 5*-6*((sqrt(51)\/sqrt(3)*6)**2 + sqrt(17))) + -3.\nAnswer: 32*sqrt(17) + 18372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, w: 6, e: 5}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 0.8. Let s(y) = y**2 + 7*y - 7. Let f be s(-8). Which is the second biggest value? (a) q (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348 and 723930393?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnpt. What is prob of picking 1 t and 2 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 52*o + 35108. What is y(217)?\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3375960324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7817887?\nAnswer: 7, 11, 101531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22457 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 755 divided by -151\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 16*h**3\/3 + h - 11. What is s(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7080974 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 - 4*z. Let p be t(-3). Suppose j = -0*j - 3*b + p, -j - 5*b + 16 = 0. Let y(x) = -x. Give y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3422262 and 8142?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -u + 1093, 4*u - 5*b = u + 3284. What is the remainder when u is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 2:27 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105273858197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 268\/25 bigger than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 3, 29 = 4*m + 5*h. Let o = m - -3. Suppose -g = -j + 25, -50 = -5*j + 3*j - 3*g. Calculate the remainder when j is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 78 and 981.\nAnswer: 25506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/28*(-35)\/(-50)*28\/(-28)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(sqrt(720) + -6*(sqrt(720) + -1) - sqrt(720))*2)**2*4.\nAnswer: -8640000*sqrt(5) + 259560000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62.9 + 63. Suppose -z = 4*z - 5. Put z, k, 9 in decreasing order.\nAnswer: 9, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -8.9. Let r = 9 + -9.1. Let c = 0.4 + r. What is the third smallest value in 1\/4, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.2. Let q = 9 + -9.46. Let j = 0.04 - q. What is the closest to v in -1\/7, j, -5\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -238*z + 440*z + 629*z - 6789*z**2 + 331*z + 4215*z wrt z.\nAnswer: -13578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 3517?\nAnswer: 351.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(1\/4))\/n)**(-2\/15)*(n**(-2))**(-1\/4) assuming n is positive.\nAnswer: n**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.61146m to kilometers.\nAnswer: 0.09761146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - -0.2. Let j = 1.68 - s. Let g = -0.18 + j. Which is the smallest value? (a) 0.03 (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m\/m**(-2)))*m**(3\/5))\/(m**1*m**2)*(m\/(((m*m\/m**2*m)\/m)\/m)*m*m**(3\/2))\/((m*(m\/m**0)\/m)\/m**2) assuming m is positive.\nAnswer: m**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/720 - x**5\/30 + 5*x**4\/6 - 27*x**2. Let l(y) be the second derivative of j(y). Let b be l(3). Is -3\/43 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505708 to the power of 1\/2, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43661826?\nAnswer: 2, 3, 13, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 j when three letters picked without replacement from gjdnnddd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150415057*x + 3*x**3 + 150415057*x - x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1260539, -5042191, -11344945, -20168801, -31513759?\nAnswer: -45379819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14040 and 440.\nAnswer: 154440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, q: 2, s: 2, y: 2, t: 2, m: 1}. Give prob of picking 3 l and 1 y.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*g - 1 = -552*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -207. Suppose 3*u - g = -5*d, -3*u + u = -5*d + 171. Calculate the remainder when 102 is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**3 + 23*m**3 + 2*m**4 - 5*m**3)*(5 - 1 - 2) in the form r*m**4 + v*m**2 + w*m**3 + n + f*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290243833.\nAnswer: 11, 59, 447217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 w, and 1 m when four letters picked without replacement from xxdxmxxpxwpxmdmpp.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -114*x**2 - 882*x + 51. Let c(a) = -227*a**2 - 1764*a + 101. Let g(s) = 3*c(s) - 5*u(s). Determine k, given that g(k) = 0.\nAnswer: -8, 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1\/3, 4 in decreasing order.\nAnswer: 12, 4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlkkolk. What is prob of picking 1 k and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 13 = 112 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from ivovoooiiuuuutoiiu.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 - 576. Let f = l - -927. What are the prime factors of f?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 17882.9?\nAnswer: -17899.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 - 4*b + 3. Let o = -32 + 25. Let f be o + 6\/(-1*8\/(-4)). Give h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 16*b = 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7397680 divided by 369884.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 44 = 52. Let j be (-9 + 13)\/(b\/(-10)). Solve 1 = o + j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 2. Let i(c) = -c + 1. Let d(t) = 5*i(t) - 2*n(t). Let a = -12 - -17. Let p(o) = -2*o**2 + 4*o - 6. What is a*d(m) + p(m)?\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (54\/9)\/(-3) - 34. Sort 5, h, -3.\nAnswer: h, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 60, 37, 12, -15, -44, -75?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - 8 - (-1144 - -1120)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8234 + -8234.4. What is the nearest to 1 in -2, 5, 319, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.109 - 0.2945. Let o = x + 0.4. What is o rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07255312 + 0.07229. Round h to 6 decimal places.\nAnswer: -0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575341?\nAnswer: 13, 44257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -73137*a + 17. Is n(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -257 - -11728?\nAnswer: 114a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 6:24 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/(-2378))\/(10*(-15)\/(-150))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 42*r - 2177. Determine b(52).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 968.248 weeks in minutes?\nAnswer: 9759939.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 414517*b*h - 9*b - 300*h - 2637 wrt b.\nAnswer: 414517*h - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 20923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1705587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igi when three letters picked without replacement from gggzggigvgvggighv?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 373 + -359. What is the derivative of 88 - 3*y**2 + y + 53*y + 6*y**2 - c*y - 2*y**2 wrt y?\nAnswer: 2*y + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50956.39972 - -50955. Let w = u + 1.4. Round w to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:35 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -13. What is the remainder when 44 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/8)*k**(2\/7)*(k**(-5)\/k)\/(k*k**3*k) assuming k is positive.\nAnswer: k**(-593\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -611, -639, -665, -689, -711, -731?\n\"Answer: g**2 - 31*g - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13356*q**3 - 5 + 11 - 13280*q**3 - 6.\nAnswer: 76*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1460, 1428, 1374, 1298, 1200, 1080?\n\"Answer: -11*k**2 + k + 1470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(720) - -1*(sqrt(720) + 0)) - (5*(-1 + sqrt(720)) + -3))**2*-3.\nAnswer: -106032 + 4032*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m + 420 = -53*m. Let y = m - -140. Solve -12*x + y*x + 60 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.2. Which is the smallest value? (a) 4\/7 (b) z (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of 723*c**5\/10 + 733*c**4\/8 + c**2 - 2414*c. What is the second derivative of y(s) wrt s?\nAnswer: 8676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 2030. Let h(m) = 939*m. Determine n(h(u)).\nAnswer: -939*u + 2030","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/(m*m**(-2\/7)))\/(m**(-2\/19)\/(m*m**(3\/4))))**(-14) assuming m is positive.\nAnswer: m**(-2203\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*(-15 - (-5 + 5)). Suppose d + 108 = c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 6 = 8*f. Solve 0*w = -f*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*v**2 - 772*v + 110 = 0. Calculate v.\nAnswer: 1\/7, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 178 - ((-13)\/(-3) + (-36)\/108). Do 170 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 15 + 1 = 0. Suppose 0*s = -2*s + a. Factor 1\/3*v**3 + 0*v**s - 1\/3*v + 0.\nAnswer: v*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -69, -38, 13, 90, 199?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000525 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -11*m**5\/5 + 22*m**3\/3 - 13. What is the third derivative of j(x) wrt x?\nAnswer: -264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 3*r + 4*h, 20 = r + 6*h - h. Let q = r + -25. Which is the nearest to -2\/7? (a) 2\/7 (b) 3\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6346 > 6349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.74 - -38.26. Let d = j + -41. Which is the closest to -3\/2? (a) -2\/7 (b) d (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 18*d**2 + 14*d + 29. Calculate r(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0 (base 16) in base 14?\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 125 and -381.56.\nAnswer: -47695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 99623.3281 rounded to the nearest one hundred?\nAnswer: 99600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-56) + (-24)\/(-7). Suppose 4*v = -3*j + 179, -4*j = d*v + v - 223. Is 26 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/108 + (-2093)\/84. Let r = -25003 + 14687. Is (r\/10)\/(10\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*z = -101*z + 945. Is 9 a factor of -1071*(6\/z)\/((-6)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 - -1 - (-13 + 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10 + 4*a**4 + 7 + 8 - 1 wrt a?\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 34 = 4*x - 93, -4*x + 71 = 5*g. Let j = -11 + 17. Suppose 10 = j*h - 14. Calculate the least common multiple of h and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8359688 by 1044961.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 3. Let o = p + -4. Suppose 4*f + x - 174 = -169, 5*x = -3*f + 8. Which is the second smallest value? (a) o (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f - 15. Let w be (-1)\/1 + (15 - 15). Let q(x) = x + 1. Let o(u) = -7*u + 3. Let m(n) = w*o(n) - 4*q(n). Let a(k) = 9*m(k) - 4*z(k). Give a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(72)\/sqrt(4))*3)\/(sqrt(9) - (sqrt(900) - (sqrt(900) - sqrt(900)*-1) - sqrt(900))) - (2*sqrt(224))\/sqrt(7)*3.\nAnswer: -166*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (55\/(-10))\/(1\/(-2)). Let d(o) = o**3 - 11*o**2 + o - 8. Let l be d(x). Let n = -157 + 162. Solve -q - 14 = -n*c, 4*c = -l*q + 7 + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015708382 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 7. Let j be c(0). Let x(h) = h + 13. Does 4 divide x(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r. Let u be z(1). Let b(g) = -3*g**3 - 4*g**3 + 4*g**u. Suppose -6*l + 9 = 2*x - l, 5 = 3*x - l. Let o(c) = 12*c**3. Determine x*o(s) + 9*b(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + 6*j)*(5*j**2 - 5*j**2 - 2*j**2) + (j + 0*j + 0*j)*(4*j + 3*j - 6*j)*(4 - j - 4)*(-161 + 169 + 191).\nAnswer: -211*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2065*w**3 - 26 - 4345*w**3 + 10 + 16 + 62*w - 62*w - w**3 + (2*w**2 - w**2 - 3*w**2)*(-3*w - w + 2*w) in the form p*w**2 + q*w**3 + y*w + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 389*v**2. Let z(y) = -2*y. What is t(z(l))?\nAnswer: 1556*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 q when four letters picked without replacement from {q: 7, i: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 612106.3 minutes?\nAnswer: 36726378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 + 7*i + 4. Let o(z) = 5*z**2 + 8*z + 4. Let p(v) = -2*o(v) + 3*w(v). What is the units digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - c**4\/8 - 6*c**3 - 183*c**2. What is the units digit of p(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (314\/5)\/(-2)*-5 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000073002604 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122085824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63545 or 1007?\nAnswer: 1007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 263*x**4\/2 - 695*x**3\/3 + 277. What is the third derivative of p(k) wrt k?\nAnswer: 3156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2513329*n**4 - 995*n**2 + 1863 wrt n.\nAnswer: -60319896*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9052797163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 149 - 15. Let o = r - 59. Does 21 divide 2880\/o - 3\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 261412 to the power of 1\/2, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6345 and 1080.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -48*t + 7. Let k be z(-1). Solve -2*o + 54*q - 1 = k*q, -2*q + 4 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - -5) + (4 - 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 206*s**2 + 7352*s - 1174. Give y(237).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10 + 21)\/(-22))\/(2\/44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3 - 12. Let b be 5\/(5\/2) - (4 + v). Suppose 2*s + 3*s = 0. Solve 5*t = -6*r + 3*r, -b*t - r - 4 = s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38\/43, -0.3, 4122 in decreasing order.\nAnswer: 4122, -0.3, -38\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 361.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 42 (b) -3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 93528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7*f - 6. Let m(j) = j + 1. Let i(v) = -6*m(v) - s(v). Let p be i(3). Suppose 4*z + p*r - 201 = 1706, -470 = -z - 3*r. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 44, 179, 442, 875, 1520, 2419?\nAnswer: 3614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12331313331321 + 1?\nAnswer: 12331313331322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22537 + 153227 = -1222*y - 590*y for y.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11453 (base 10) to base 9.\nAnswer: -16635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -22 + (-5 - (-62 - (-9 + -9 + 18)))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(133) + 4*-2*sqrt(133))\/(sqrt(63) + -3*1*sqrt(63)).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 0*i**2 - 4*i**2 - 2)*(-10*i**3 + 21*i**3 + 19*i**3).\nAnswer: -30*i**5 - 60*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.045 and 7.59.\nAnswer: 7.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.109, 3, -23, -5, 2\/205?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a**5 + 12*a**2 + 0 + 0*a**4 - 13\/6*a**3 + 13\/120*a**6 + 0*a. Differentiate k(l) with respect to l.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1186 - 614. What are the prime factors of f?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37774 and 3833.\nAnswer: -33941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 35.3\nAnswer: -70.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 9*y + 990. Calculate w(-26).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 495, 0, -22, 232, -2 in ascending order.\nAnswer: -22, -2, 0, 232, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkkk when four letters picked without replacement from kkkpkkkkp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2118961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.7947875 to three dps.\nAnswer: 3.795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2415 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, 20, 0 in increasing order.\nAnswer: -1, -2\/7, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -97 (base 10) to base 7.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3))**2 assuming v is positive.\nAnswer: v**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283135*f - f**4 + 283137*f - 6366 + 0*f**3 - f**3 to i*f**4 + m*f**3 + d*f + b*f**2 + o and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143454079 is divided by 3976?\nAnswer: 3975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 6*t**2 - 11*t - 17. Calculate o(-6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-12))\/(644\/(-828))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 103\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(-2\/11))))**0*(o**0)**(4\/19) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 173*n**2 + 10*n. Is u(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(847) + 1)*-1)**2 + -6*(sqrt(77) + -4*sqrt(77))\/sqrt(11)*-4.\nAnswer: 16*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1337)\/(-35) + 18\/10. What is the highest common divisor of b and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + g**2 - 10*g**2 + (g + 0*g - 2*g)*(8*g + 6*g - 4*g)*(0 + 3 + 5).\nAnswer: -88*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0 + 7\/24*j**4 - 77*j**2 + 0*j + 5\/6*j**3 - 1\/60*j**5. Determine x(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 3*y + 7. Suppose -5*t - 12 = 3. Let o be m(t). Solve o*g - 15 = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b + 22*b + 40*b.\nAnswer: 53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {s: 13, g: 1, n: 3}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z - 0*z. Suppose -32*w + 29*w - 249 = 0. Is w\/(-2)*(z - -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7168699 is divided by 245.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + -7 - 90\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7 - 3*m + m + 2 - 5 + m. Let d = -9 + 13. Give o(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169533072 and 16704.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 642624192 to the nearest integer?\nAnswer: 25350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-3)\/(-2 + -1). Let q = 1 + z. Suppose 0 = -q*u - 83 + 239. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 1)*(-4*g + 0*g + 2*g) + g - 2*g + 3*g + (-2 + g + 2)*(-6 + 2 + 53) as r*g + v and give r.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 + 744\/60. Let q = n - 8. Suppose -q*b = 2*d - 0*d + 16, d + 4*b + 18 = 0. Solve d*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*q - p + 12, -q + 4*p = -3. Let s be 9\/(-6)*(1 - q). Solve s*r + 0 - 12 = -u, -u + 8 = 2*r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1817 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f + 87 = 0. Let i = 221523\/5 - 44305. Which is bigger: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, 53, -0.06, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 2*m - 17 = 0, 0 = 4*l - 3*m + 24. Which is the third biggest value? (a) l (b) -8 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.35, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -632.1 + 635.1. What is the third biggest value in 0.9, m, 4, -26?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19)\/(-2)*(-14)\/(-21)*(3737 - -1).\nAnswer: 2, 7, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 321*p**2 - 127508*p + 954. Determine l(-231).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 5*f - 11, f - 21 = -3*q - 2*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 337.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/251, 0.093, 0 in decreasing order.\nAnswer: 0.093, 2\/251, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 3*m = -4*x + 7*m - 13 + 77, -4*m - 8 = -8*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3126, 3125, 3124, 3123, 3122, 3121?\n\"Answer: -j + 3127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6*j + 4*o + 8874, 3*j + 2*o + 13303 = 0. Let s = -106 - j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 10*g + 4. Let h be z(6). Let y be 104\/h + 4\/14. What are the prime factors of y\/14 + 270\/35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4108 + 0.3108. Which is the closest to -0.07? (a) -2 (b) -2\/9 (c) g (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**2. Let x(v) = 43*v**2 + 2*v. Let f(p) = 216*p**2 + 11*p. Let q be (5 - 0) + (-22 - -6). Let o(j) = q*x(j) + 2*f(j). Give c(o(a)).\nAnswer: -5043*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 7. Let f be g(-7). Suppose f*r = 3*r + 15. Suppose 30 = 17*l - 55. Sort 4, l, r in ascending order.\nAnswer: r, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3163, 3189, 3217, 3247?\n\"Answer: b**2 + 23*b + 3139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7497\/(-102)*(-7)\/(49\/(-3)))\/((-18)\/(-36))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 7135a0?\nAnswer: 7135a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208)*1 - sqrt(208) - sqrt(52))*5)\/(-6*-2*sqrt(144)))**2.\nAnswer: 325\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -86955 divided by -11\nAnswer: 7905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -14444927 to the nearest 10000.\nAnswer: -14440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*w + 6 = 19, 16 = 4*w for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - 2*y + 748865. Let c(a) = -2*a. Calculate c(v(o)).\nAnswer: 4*o**2 + 4*o - 1497730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2777.\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-700)\/450)\/((-4)\/(-18)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2*22\/4. Let y = 70 + n. Suppose -304 = -5*v + y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2562 and 154.\nAnswer: 28182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let l(g) = 393*g**2. Calculate l(t(w)).\nAnswer: 1572*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 5 (b) 0.3 (c) -611 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 2*h + 14, -3*l - 4*h = -13. Let w be l + (1 - 7)\/(-3). Suppose 5*u + w - 45 = 0. Calculate the least common multiple of 2 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, 48, 75, 16, -159, -480?\n\"Answer: -5*c**3 + 2*c**2 + 112*c - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -12 + -1 + 7 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {t: 9, x: 7}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*j = 58, 183 = 5*t + 4*j + 35. Suppose -4*m = -0*m - t. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103 - -23111?\nAnswer: 30220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*k**3*t**2 + 420*k**3 + 10*k*t**3 wrt t.\nAnswer: 22*k**3*t + 30*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -18*w - 33. What is p(-6)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 6*t + 6. Let k be (-6)\/12*(-5)\/((-15)\/18). Let r(o) = o**2 + 5*o + 7. Let p(w) = k*r(w) + 2*j(w). Give p(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 + 6.08. Let q = -6.4 + t. Let h = 1.65 - -1.35. Which is the closest to 2? (a) -2 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*y - 108*p = 119*y - 107*p + 25, 0 = -3*y - 2*p + 5 + 26 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10521105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 2:07 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/15, -5\/3, -8, 14\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*(q\/(q**(-2)*q)*q)\/q*((q\/q**(-1)*q)\/q)**(-21))\/((q**(-3)\/q)\/q*q*q**1*q**6*((q\/q**1)\/q)\/q*q*q) assuming q is positive.\nAnswer: q**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 5) to base 8.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6392018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 4*q**2 + 2*q - 4. What is the tens digit of j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*w**2 - 8*w**2 + 47 + 11 + 20 + 44 to the form y + d*w**2 + t*w and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 2*m**2 + 0*m + 0*m**3 + 0*m**6 + 1\/30*m**5 + 0*m**4 + 0 + 1\/70*m**7. Find the third derivative of d(z) wrt z.\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.81? (a) -5 (b) -4 (c) 2\/107 (d) -78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2604949*a + 3474329?\nAnswer: -2604949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8.01. Let r = o - -4.99. Let f = -5.2 + r. Which is the nearest to -1\/2? (a) -0.02 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/45*9 + 15744351\/35 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381335052 to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7943\/3052 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1 - 1 = -3*u, -6 = -3*u + 3*i. Suppose 5*r - 10 = 3*r. Suppose -4*f + 5*y - 14 = 0, u + 0 = -r*f - 2*y. Is -4\/3 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*2*((sqrt(264)*3)\/sqrt(8))\/(sqrt(99)\/(sqrt(324) + sqrt(9))))**2.\nAnswer: 1143072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 662 - 506. What is the second derivative of g*n**2 + 109*n - 61*n - 60*n wrt n?\nAnswer: 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 89.\nAnswer: -13\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7*j**2 - 2*j. Let g(v) = 9*v**2 + 2*v - 1. Let a(b) = -3*c(b) - 2*g(b). Give a(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 461 = -2*a - 5*n, -4*a - 5*n - 897 = 0. Let d = a + 315. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 113 - 115 = -z + 33, 0 = -2*z - 3*q + 31 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 529 - 527. Solve 2*c + 20 = u*y - 2*c, -2*y + 10 = -2*c for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250548721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2)\/(130832\/4862 + 27*-1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 507.4091us?\nAnswer: 0.0005074091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(288).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 362108684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56005078 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = u. Let h(n) = -32*n**2 + 203*n - 58. Let q be h(6). Let x = 22 - 21. Solve -q = u*i + x for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22260893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 5, -4\/5, 16, 14\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u - 11 = 3*p, 5*p - 3*u = 0. Suppose -4*i = -p*i - 4. Suppose 0 = -5*t - 2*k + 3*k + 60, -i*k = t - 12. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136809\/14 + -9780. Find the common denominator of x and 3\/(-56)*1342\/33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6*t**2 + 0)*((2 - 2 - t)*(-3 + 4 + 0) + 0*t - 3*t + t + (0 + 3 - 2)*(8*t - 5*t + t)).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y - 2*t - 92 = 22*y, 3*y - 75 = 3*t. Let w be (-5)\/((-15)\/y) + -1. Solve -2*p - 8 = -w*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 133*a - 46*a - 45*a - 44*a. Let k(d) = 3*d**2 - 1. Give k(x(n)).\nAnswer: 12*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/20*(6045\/(-39))\/31)\/9?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*5\/(-5)*(-35)\/15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121 + -61. Let p = -13 + c. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -708 + -3?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19338, 15750, 12162, 8574?\nAnswer: 4986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*a = -279*a + 4*b + 152, -a = -3*b - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -114*b. Let v(n) = -64*n - 99*n**2 + 64*n + 53*n**2 + 48*n**2. Give c(v(p)).\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -526, -2075, -4656, -8269?\n\"Answer: -516*m**2 - m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/3)\/((-8)\/24). Let c = -13 - i. Solve 0 = -0*v + v + f - 1, -v - c*f = 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/(-175))\/((-1)\/(-3)*117\/(-2457)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 15 = 164*m - 167*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5 = -3*j. Let f be 10\/(-65) + 72\/(-39). Put 0, f, j in descending order.\nAnswer: 0, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 26 - 2 = 0. Suppose 5*t + 65 = -4*o, -l*o = -3*o + 2*t + 74. Which is greater: o or -21?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748448 and 15488.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*v, 22*v = t + 25*v - 11010. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 12*h**2 + 2*h - 881. Let x(o) = 4*o**3 + 20*o**2 - 4*o + 1760. Determine 5*v(n) + 3*x(n).\nAnswer: 2*n**3 - 2*n + 875","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 144*n**2 + 272*n.\nAnswer: 4*n*(n + 2)*(n + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2*f - 3*f)*(-450*f + 17 - 553*f + 210*f - 17) as b*f + n*f**2 + t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2369621.1 hours?\nAnswer: 98734.2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + 21. Let r(y) = t - 50 + 56*y**3 - 44 + y**2 - 2*y. What are the prime factors of r(1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 13. Suppose 0 = -3*z - 1 + q. Which is greater: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 3, -1\/3, 611?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/42 and 17\/33222.\nAnswer: 33222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4*2\/6. Let d = -368.27 + 368.47. Which is the nearest to d? (a) f (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2*-3*2\/(-12) and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19078 - -0.10922. Which is the nearest to 2\/3? (a) -0.4 (b) s (c) 2 (d) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 11. Calculate the highest common factor of j and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -3*m - 82, -3*i + 2*m + 100 = 153. Let f(b) = 9*b**2 - 17*b + 2. Let t(d) = -3*d**2 + 6*d - 1. Determine i*t(c) - 6*f(c).\nAnswer: -3*c**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1434154 + -15?\nAnswer: -1434213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 4:48 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*d + 18, 0 = -5*z + 3*d + 3 - 8. What is the fourth biggest value in z, -1, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 14177.\nAnswer: 7088.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuwuuud. What is prob of sequence wdu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - u**2)*(u**2 + u**2 + 2*u**2) + 60*u**4 + 340*u - 169*u - 170*u in the form v*u**3 + h*u**2 + s + g*u**4 + k*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11182 is divided by 1457?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -65595 - -236\nAnswer: -65359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3, -2\/123, -5?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -756 + 760. Suppose -3*x - 25 = -5*m, m - 1 = 3*x + 4. Suppose n*d - 8 - 60 = x. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 302 - -12?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -889206\/31 or -28683?\nAnswer: -889206\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -82ca?\nAnswer: 82ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-5))\/(2\/10). What is the smallest common multiple of 3 + (9 - (1 - p)) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 + 4 = -15*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2))\/(64\/(-128)). Find the second derivative of -970 - 5*k - 5*k - k**4 - 21*k**y + 483 + 482 wrt k.\nAnswer: -12*k**2 - 126*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 5*y**2 - 3*y**2 + 6*y**2 - 4 to the form i + g*y + s*y**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 7*v**2 + 4*v - 14. What is t(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 19*n + 18. Give q(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-8 + 4)) + 4 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 6:48 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 202012?\nAnswer: -202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3 - 4971996*k**2 - 19888008*k - 19888016 = 0?\nAnswer: -2, 2486002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -12*v - 22. Give x(7).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 55*b - 105. Determine o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - y + 1. Let t(f) = f**2 - 10*f + 3. Let u be t(10). Does 21 divide i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11055 + -11203. Let h be (-4 - -2) + -1*1. Put x, h, 0, 3 in descending order.\nAnswer: 3, 0, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 4}. Give prob of sequence sssc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 659833483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -25. Suppose -338 = -28*h + 15*h. What is the remainder when 4\/14 - (1653\/w - -4) is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 3 (b) 4 (c) 4\/3 (d) 0.4 (e) -1 (f) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 143448 and -79.8.\nAnswer: -11447150.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 9) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4855773875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/2774 or 0?\nAnswer: 9\/2774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2193 and -55944.\nAnswer: -53751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 604*z**4 - 8*z**3 - 8*z**2 - 16*z - 104. Let o(p) = -p**4 - p**3 - p**2 - 2*p. Let u(d) = -l(d) + 8*o(d). Differentiate u(g) wrt g.\nAnswer: -2448*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6032*m - 945748 = 694*m + 11656*m - 2076*m for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.018 (b) -6 (c) 1 (d) 1\/19 (e) 0.6 (f) 4 (g) -2.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 - 6*n + 7. Let c be s(-5). What is the common denominator of -3 + 3 - c\/8 and ((-73)\/2409)\/((-2)\/63 + 0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49345, 98634, 147923?\n\"Answer: 49289*u + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 788.1537ml to litres.\nAnswer: 0.7881537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*g + 0 + 381*g + 0.\nAnswer: -88*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/23254 and 41\/2416.\nAnswer: 186032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.16, -1, -85.6, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1914805 bigger than -1914808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132789 and 36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - a + 3*a + (0 + 0 + 16*a)*(0 + 2 - 4) to t*a + q and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3192 + 3192. Solve 0 = 3*h + 6*h - r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*h**2 + 33*h**2 + 33*h**2 + 36*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (sqrt(700) + 0)**2 + (0 + (1 + sqrt(700) - sqrt(700)))**2 - (1 + sqrt(700)*-1*-3)**2)*4.\nAnswer: -22404 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + q - 9. Let i be m(-4). Let s = -35 + i. Suppose -3*y = s - 1. Put 2, y, -4 in decreasing order.\nAnswer: 2, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - -30101555?\nAnswer: 30101616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -2.42\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-828)\/24)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:15 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71330*m**3 + 214314*m**3 - 71666*m**3 - 71327*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q - 3*q - 3*q)*(2*q + 4*q - 4*q) - 3*q**2 - 2*q**2 + 4*q**2.\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - -14 - -21 - (1 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109293696?\nAnswer: 2, 3, 94873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -4, -9 in decreasing order.\nAnswer: -1, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70\/143 - 493\/715. What is the fifth smallest value in 0.2, -2\/4393, v, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 3*v**2 - 5*v - 1. Let f be b(-5). Suppose 3*x - 61 = f. Factor -10*g**2 + 58 - 35*g**4 + x*g**3 - 58.\nAnswer: -5*g**2*(g - 1)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-0.05.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*i**2 - 4*i**2 + 3*i**2)*(-2*i + 2*i - 2*i) + i**3 + 0 + 0 - i**2 - 2*i**3 + i**2 - 2*i**3 + 3*i**3 + i**3)*(i - i - 3*i).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 248.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/13 - 9990*s**4\/13 + 7260768*s**3\/13 - 1224981728*s**2\/13 - 3740561664*s\/13 = 0. Calculate s.\nAnswer: -5656, -3, 0, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from {g: 3, o: 4, f: 1, l: 1, a: 6, j: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:52 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*u - 34*u + 28*u - 704 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 1, 0.1693, 0, -0.168 in increasing order.\nAnswer: -0.168, 0, 0.03, 0.1693, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 65 + 65 - 3*b**3 + 29*b**2 - 27*b**2. Suppose 12 = -4*f + f, -3*f = 2*z + 18. Let x(w) = -4*w**3 + 3*w**2 - 2*w. What is z*q(a) + 2*x(a)?\nAnswer: a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from bfq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 568 - 572. Which is the nearest to -1\/3? (a) -2 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Let c be (-27)\/(-5) - 2\/d. What is the second derivative of -2*l + l**4 - l + c*l wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1980573499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 35 = -5*b - y, 2*b + 5*y - 45 = 0. Let k be 168 + (-5)\/((-25)\/b). Let x = k - 48. What are the prime factors of x?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -252 + 42. Is l at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 14*h = 0. Suppose 2*f + 40 = -3*f. Let c = 5 + f. Sort -2\/13, h, c in descending order.\nAnswer: h, -2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/627 and 83\/1711666.\nAnswer: 97564962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1748 divide 7257696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 165374709 to the nearest one million.\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - r + 5. Let i be (r + 1)*392\/16. Suppose -3*v - i = -430. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-444)\/15)\/(-1))\/(14\/105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(14)\/(3*4*sqrt(7)) + -4 + sqrt(1000)\/sqrt(5)))**2.\nAnswer: -968*sqrt(2)\/3 + 15793\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*l**4 - l**2 - 3*l + 598 wrt l.\nAnswer: -1608*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10506 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*k + 6, 14*n + 0*n = -4*k - 27*n - 33 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38978 and 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27114517\/3 greater than or equal to 9038171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 3638?\nAnswer: -2182.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -c + 13870, 4*c = -6*d + d + 23112. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 6*o + 10. Let i(u) = u**2 + 6*u - 9. Calculate -6*i(d) - 5*k(d).\nAnswer: -d**2 - 6*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.6 less than -110.86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(104) - (sqrt(104) + sqrt(104)*-4 + sqrt(104))))\/((sqrt(8) + sqrt(56)\/sqrt(7))*1 - sqrt(8)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-3)\/27 - (-1047)\/9?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a + 67327 + 74827 - 1285384 = 0. What are the prime factors of a?\nAnswer: 2, 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 - 3.5. Let m be 4\/(-2)*2\/4. What is the third biggest value in s, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 224 + -837?\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 178, -14\/183, -2\/3?\nAnswer: -14\/183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -10, 41, 150, 335, 614?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/147 and -34\/2695?\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 1)*(-a + 2*a**3 + a) + 7*a**3 + 24*a**2 + 2*a**2 - 17*a**2 to the form j*a**2 + x*a + c + q*a**3 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v**2 + 2*v**2 - 20*v**2. Let i(q) = -q - 31 + 31. Calculate b(i(o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923004.\nAnswer: 2, 3, 25639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94.6 or 0?\nAnswer: -94.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) -374 (c) -4 (d) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6438, 10731, 15024, 19317, 23610?\nAnswer: 27903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 4 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2026319 - 75*y**2 - 4968*y + 52*y**2 + 27*y**2 - 483755 = 0. What is y?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 852*c + 0 + 1 - 92*c - 1 as x*c + u and give x.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*z + 33*z + 515. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 9:06 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15135084 is divided by 29162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404235664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1956 or 4?\nAnswer: 1956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(-13\/6))**(-32) assuming y is positive.\nAnswer: y**(-416\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*x - 15 = 0, 0*i + 20 = 2*i - 5*x. Differentiate -5 - i - 6*c**4 + 3 wrt c.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 12*h + 1. What is z(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, s: 4, v: 1, d: 2, u: 3, k: 2}. Give prob of sequence uu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23.9 and -2.\nAnswer: -25.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222*(-15)\/(-5)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99803, -99837, -99929, -100109, -100407, -100853, -101477?\nAnswer: -102309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 7*x**2 - 9*x - 12. Let q be s(-8). What is the tens digit of 4\/(q - -2) + 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-27) + 26\/117. Let m = 8\/5 - 11\/10. Suppose -1\/2*a**3 + z + m*a**2 + a = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3441 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 j when three letters picked without replacement from {r: 1, d: 5, j: 12}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 345194.91 microseconds in hours?\nAnswer: 0.000095887475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4, -31, -160, -437, -916, -1651?\n\"Answer: -9*y**3 + 7*y**2 + 7*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1092?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + w - 2 = 0, -2*u + 2*w + 14 = -0*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 14*h = 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -26*l + 824. Let q be g(29). Let s be -6*(4 + (-38)\/6). What is the greatest common factor of q and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*18\/12. Is l*(-1 + 1 - 251) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12024255484.969991 - -12024248455. Let o = b - -7030. Let c = o + -0.03. What is c rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34059.384818321 + -0.385058321. Let w = u - 34067. Let m = w - -8. What is m rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 200*u - 6115. Determine m(180).\nAnswer: -2515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 86 times -13\nAnswer: -1118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-90)\/8)\/(-3))\/(159\/212)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 2*f**3\/3 - 13*f**2\/2 - 9*f + 1464. What is b(4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99235422 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -160756?\nAnswer: -16075a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700652*l + 3 + 700657*l - 3 - 2.\nAnswer: 5*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -16543*u**2 - 1 - 3*u**3 + 8269*u**2 - 4*u + 2*u**3 + u**4 + 4*u**4 + 8275*u**2 in the form k*u**2 + v + s*u + y*u**3 + l*u**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 - 6.39. Let u = -7 - k. Sort u, 2\/5, -1\/2.\nAnswer: u, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2202 and -55\/4.\nAnswer: 4404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*i + 739 - 118 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2702297 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - w + 3*w + 616, 3*f = -3*w + 636. Let d(i) = i**3 + 11*i**2 - 33*i - 38. Calculate the remainder when f is divided by d(-13).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1603005 to the nearest 1000.\nAnswer: 1603000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0 + 19\/6*q**3 + 7\/20*q**5 - 1\/12*q**4 + 1\/120*q**6 + 17*q**2 + 0*q. Calculate the remainder when k(-21) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*d + 1 - 21, 11 = -u + 2*d. Solve 35*f + u*l = 37*f + 3, -2*l = -6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/23 in -2.2, 2\/7, -5\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 10*f + 5. Let d be m(12). Let z = 21 + d. Does 9 divide 30\/z*9\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**20)\/(t**(2\/5)*t))\/(t**(-22)*t*t**(-1\/30)))**(9\/4) assuming t is positive.\nAnswer: t**(3657\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 - -79. Suppose 11 - 21 = -i*m. Solve -3*z + m*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91.5889 - 0.1111. Let o = 92 + f. Which is the closest to 0.1? (a) 3 (b) o (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16134342 is divided by 191?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(98))*-2)**2.\nAnswer: -168*sqrt(2) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/4)\/9)\/(3\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -122212003 (base 5) to base 4\nAnswer: -2032320211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2136.2775 months to decades.\nAnswer: 17.8023125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrrirircci. Give prob of sequence cc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.086? (a) -1 (b) -14 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53678890?\nAnswer: 2, 5, 5367889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p = -5. Suppose -g - 3*g + 1460 = 4*r, -g = -p*r - 335. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 12*h**2 - 852*h + 5079. What is the remainder when z(6) is divided by 74?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + v + 1 - v)*(17 + 0 + 23) to the form m + r*v and give m.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 60. Let c(j) = -2*j - 29. What is 9*c(k) + 4*f(k)?\nAnswer: -2*k - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*((u*u\/(u**(1\/42)\/u))\/u*u)\/u)\/u**(-2\/3))\/((u*(u\/u**(1\/2))\/u)\/(u*u**17\/u)))**(1\/49) assuming u is positive.\nAnswer: u**(141\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 23 - (-47 + 67)) + 6?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 297228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*d**2*k**3 + 36*d**2*k**2 - d*k**4 - 6*d - 2*k**2 wrt k.\nAnswer: 522*d**2 - 24*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**4 - h**3 - 269*h**2.\nAnswer: -48*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -f + 2. Suppose -5*i + 47 = -3. Suppose 13*d - i = 8*d. Solve u - 4*p = -p + f, -10 = d*u + 2*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, -167, -547, -1069, -1727, -2515, -3427, -4457?\nAnswer: -5599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 8*d)*(0 + 0 + 2) + (28*d - 175*d + 62*d)*(-34 + 39 + 26).\nAnswer: -2643*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -59*w**4\/2 + w**3\/3 - 795*w**2 + 548. Find the second derivative of m(j) wrt j.\nAnswer: -708*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 3, l: 4, t: 1, u: 1}. Give prob of picking 3 f.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15119573 is divided by 83533.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.029405 to three dps.\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150 - 83. Suppose x = 3*o - 5*m, -5*o + m - 5*m = -50. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 - 14*n + 62. Let y be z(14). Let h = y + -1027. What is the remainder when 6\/((-2)\/(-20)*3) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l + 25 = 0. Does 16 divide (-79)\/l - (-8)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240510 (base 8) to base 14.\nAnswer: -21d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*k = 67*k + 5*v + 1041, -2*v - 6 = 0. What is the remainder when k is divided by 254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -182, -342, -580, -920, -1386, -2002?\nAnswer: -2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12852 + -12814. What is the third biggest value in v, 5, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -110*w**2 - w. Let c(t) = -34861*t. Calculate c(q(y)).\nAnswer: 3834710*y**2 + 34861*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -132617868*j**3 + 31057851*j.\nAnswer: -795707208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0157 + -0.06599\nAnswer: -0.08169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-413)\/705 + 2\/2. Let r = 2\/141 - n. Suppose -18 = -4*k - o, -3*o = -3*k + 4 + 2. Sort r, k, -3.\nAnswer: -3, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 - -158. Let p be (-2*(-3)\/(-6))\/1. Is 11 a factor of -22*(s - -6)*p\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 3:37 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -284\/5, -0.2, 4, -0.6, 3.\nAnswer: -284\/5, -2, -0.6, -0.2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961*o - 706*o + 5099 = -386*o - 7711 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 20 = -u, -5*c + 20*u - 22*u = -19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 159*t**6 + 4*t**2 - 135*t. Let i(z) = 40*z**6 + z**2 - 34*z. Let c(p) = -6*d(p) + 22*i(p). What is the third derivative of c(r) wrt r?\nAnswer: -8880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 12*o + 11. What is t(-8)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168289\/16 + -10513. Calculate the common denominator of (-852)\/(-960) - 1\/5 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22392832 is divided by 21932.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 10. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17792, 17795, 17798?\n\"Answer: 3*x + 17789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20637799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(63\/7))\/(2\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -783 + 4002 = 19*z - 4856. Calculate the highest common factor of 340 and z.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*m - 26 = 0, -v + 2 = -6*m + m. Suppose -v = -i - 3*i. Suppose 6 = r - 2*n - 2, 0 = -i*r + 3*n + 12. Are r and -1\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-4)\/12*3. Solve t - 1 = -o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 9*i - 102 = 0. List the prime factors of i.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 231\/1294 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*q**2 + 19*q**2 - 13*q**2 as r*q**2 + b*q + x and give r.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y - 13. Let k = y + 3. Let l be (8 - 9)\/(k\/6). What is the third biggest value in -2\/7, l, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j**(-1\/11)*(j**(2\/3))**(-5))\/((j**(-5\/2)*j*j**(-2))\/(j**5*j**2)) assuming j is positive.\nAnswer: j**(335\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 37 = 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -316\/61 + 199274\/38491. Let b = z + 1280\/5679. Factor -2\/9*v**2 + 0 - b*v.\nAnswer: -2*v*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*((1 - 3 + 8)*(139*p - 7*p + 40*p) + 0*p - p + 4*p)*(-p**4 - 2*p**4 + 5*p**4).\nAnswer: 2070*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.03034 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034*26738.\nAnswer: -909.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = 5*g - 1, 4*g = -8. Let n be (2 - 2 - 0)\/x. Solve -4*s + 3*f + 6 = n, -4*s - 5*f + 2 = 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1776*i - 1771*i + 8265000 = 0. What is i rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3524*d*f**2*n + 673239*d*f**2 - 3*d*n + d - 2030*f**2*n - 6*f**2 with respect to n.\nAnswer: 3524*d*f**2 - 3*d - 2030*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (880\/(-260))\/22 - ((-147)\/196 - 3515\/(-52)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 6\/11, -2\/29, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.401384 equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + (sqrt(52) - (1 + sqrt(52))**2) - (1 + sqrt(13))*3.\nAnswer: -56 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234.05 + 239. Let m = -0.05 - g. Which is the nearest to -0.2? (a) m (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8))\/((-188)\/1504). Solve -4*v + 16 = -d*w, -2*w = v + w + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -47*m**3 + m - 1. Let x be l(1). Let g = 50 + x. Let c be -16*(9\/(-3))\/12. Which is greater: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 m when four letters picked without replacement from mgmmgpmmyygp?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**5 - 6174*l**4 + 2*l**3 + 12348*l**2 - l - 6174 = 0.\nAnswer: -6174, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 881*j - 2 - 888*j + 1.\nAnswer: -7*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 24 = 8*l. Solve l*g = -0*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dde when three letters picked without replacement from eedeedee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 4\/(4 + -2). Let u be -1 - (2 + -1 + p). Suppose n + 4 - 11 = u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44754665, 89509330, 134263995?\n\"Answer: 44754665*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 310, -13, -3 in decreasing order.\nAnswer: 310, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + f**3 + 3*f**3 - 5*f**3 + 18*f**3.\nAnswer: 18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54262 + -33?\nAnswer: -54325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 5*z - 28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k + 744 = 0. Calculate the remainder when k\/9 + (-2)\/(-6) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-525)\/84*(-1)\/(-5).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 4*x**3\/3 + 2*x**2 - 11*x - 11. What is the tens digit of a(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 5*d**2 + 2*d + 12. Let o be i(-5). Find the third derivative of -57*k**3 - 94*k**2 + 98*k**o - 70*k**2 wrt k.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (sqrt(6) + sqrt(18)\/sqrt(3))*6)\/(5*sqrt(12)\/sqrt(4))*2)**2.\nAnswer: 1352\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from yuryvyyysvsyvyhy.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16914*g**5 + 32*g**4 + 32*g**3 + 16918*g**5 - 8*g**4.\nAnswer: 4*g**3*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -26*l**3 - 416*l**2 + l + 6. What is j(-16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4200 = 107*h + 89*h + 84*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150.2 + 208.2. Let j = 9.2 - 9. Which is the biggest value? (a) j (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 1980*m**2 - 507384*m + 8503056.\nAnswer: -2*(m - 486)**2*(m - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 8:06 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 256464, 256460, 256452, 256440, 256424?\n\"Answer: -2*s**2 + 2*s + 256464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 117 + 0?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.67 - -2.51. Which is the closest to 14? (a) -3 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 21*x**2 + 5. Suppose -11 = y + 10. Let t be v(y). Solve 2*d = 6*d - 3*f - 9, 0 = 3*d - t*f - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5392.524 milligrams in tonnes?\nAnswer: 0.000005392524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*y - 94, 0 = y + 3*p - 3 - 12. Calculate the remainder when 71 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -10\/3*m**3 - 40*m + 0 + 0*m**4 + m**5 + 0*m**2. What is the second derivative of i(g) wrt g?\nAnswer: 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 414 and 0.5.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 + 18 + 312*i + 30 + (2 + 4*i - 2)*(2 + 2 - 5).\nAnswer: 308*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:02 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 6*k**2 + 22*k + 11. What is d(-5)?\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 7*n + 32. Let u be f(-6). Suppose u = -i + 74. Solve -i = 4*v - 0*h - h, 16 = 4*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -4 (b) 1\/4 (c) 2 (d) -0.5 (e) 1.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(5040\/(-37385)) - 2. Let i = m - 9\/112. What is the common denominator of -52\/5 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-11 + -73)*2)\/(27\/(-7)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -210*m**4 + 2*m**3 - 174*m**2 + 2*m + 4. Let v(p) = -2*p**4 + p**3 + p + 1. Let n(z) = q(z) - 2*v(z). What is the third derivative of n(w) wrt w?\nAnswer: -4944*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23037 and 2667?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((sqrt(36)*1)\/sqrt(4) + sqrt(9)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 96*r + 445, -5*c + 4*c - 2*c = 3*r - 6*c + 120 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 3712 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/10 and (-270)\/(-70)*1\/2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4 = -3*q, q - 2*q = -3*s - 10. Suppose 35 = q*b - 9*b. Let a = 10 + b. Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 15 - 37. Let w = -14 - x. Let c be (4\/w)\/((-3)\/(-90)). What is the highest common divisor of c and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11181?\nAnswer: 3, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -24. Sort w, -2, -5 in decreasing order.\nAnswer: w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 4:37 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 - 3*s + 3*s)*(-1782*s + 236*s + 66*s - 673*s) to p*s**2 + y*s + r*s**3 + o and give r.\nAnswer: -4306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -248842 + -0.5\nAnswer: -248842.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = -2*f - 2, -2*w = -2*f + 2. Suppose -5*d + 9 = -f*d. Suppose -4*p + d = -9. Solve -p*u + 3*j + 21 = 0, u - 2*j - 19 + 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-48)\/(-176).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0554 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(2\/3)))**(-19)*(y*y*y*y\/(y*y**(2\/11))*y)\/((y**2*y)\/y*y*y)*y*y**(-2\/11)\/y*y\/(y**(-6)*y*y)*y**2*y**(3\/7) assuming y is positive.\nAnswer: y**(4558\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 18. Which is the nearest to 0.2? (a) 0.4 (b) f (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.02 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f + 23*f - 1087 - 26 = 0. Calculate the greatest common divisor of f and 8421.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28694066 at most -28694061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/6 + (-1)\/2. Let x(w) = -2*w + 1. Calculate x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2378 - 155*s**2 + 1187 + 1188 - s + s wrt s?\nAnswer: -310*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0378969657 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 5*a**2 - 6*a. Let u be y(-6). Suppose -5*w + 13 + 4 = -2*n, 0 = -w - 3*n. Suppose -5*x + w*x + 422 = u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.69 or 1.507?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*b - 42 = 0, -93 = -3*r - 2*b + 5*b. Let s be (-1 - -3)*(-2260)\/(-40). Suppose 4*c - s = -u + 6*u, 4*c = -u + 107. Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/64 of a second?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11740*c + 47365*c + 12988*c.\nAnswer: 72093*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s - 1. Let i = s + 3. Suppose 0*v + i*v = 66. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17594 + 29328. Suppose -8*h + o = -34434. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, v: 5}. What is prob of picking 4 z?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + (2 + -3 - 1). Let l(t) = -t**2 + m - 4 - 6*t + 2*t. Determine l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4190*c + 697986 = 3360*c - 6013*c for c.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2149\/9 - -239. Let u = r + 1\/36. Let q = 6849\/2 + -3425. Which is the smallest value? (a) 0.02 (b) u (c) q (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 74061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14044303 divided by -19\nAnswer: -14044303\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 12:33 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9109*i*n*x**3 + 17*i*x**3 - 3*i*x**2 + 48*i - 2*n**2*x - 3*n**2 - n*x - 3 wrt n?\nAnswer: -9109*i*x**3 - 4*n*x - 6*n - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17964 and 3154678.\nAnswer: 56784204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350228311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 4*s - s + (2 - 3 + 2)*(-16*s - 5*s - s).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 16276 to the nearest one hundred.\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1190 = 2*g, -2*w - 448 - 27 = g. Is -238 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0*x - x)*(-328 - 293 + 470 + (-3 + 4 - 2)*(0 - 1 - 1) - 4 + 5 + 2).\nAnswer: 146*x + 292","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(4*a - 4*a - 2*a**2) - 2*a**2 - 5 + 5 + (77*a + 1575 - 1575)*(-3*a + 4*a - 3*a).\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 49. Let z be h(-17). Suppose 48 = z*o - 162. What is the units digit of (2 - -5)\/(5\/o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhf. What is prob of sequence ht?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390433*h + 392199*h = 121854 for h.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((7 + -2 - 2)*(-140)\/(-210)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 24 (c) 1\/5 (d) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1628, 3830, 6598, 9932, 13832?\nAnswer: 18298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 1334774123.\nAnswer: 1334774119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/5))**(28\/3))**(2\/19)\/(((d**(3\/7)*d)\/d*d)\/d*d*d**(-7\/3)*d**(-1)\/d**(3\/4)) assuming d is positive.\nAnswer: d**(22753\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 9 = 2*g. Does 18 divide g\/(4\/(-1080))*(1 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 19*b**2 - 4*b - 4. Let w be f(0). Let m = 0.13 + 1.87. What is the third smallest value in -0.13, w, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7840 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19092072957 - 3.8\nAnswer: -19092072960.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 5*j - 18, l - j + 3 - 7 = 0. Let b be (-2)\/(-4) - 18\/4. Let h = 0 - b. Put h, 0, l in descending order.\nAnswer: h, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -24 - 10 - (0 + 1). What is the common denominator of ((-6)\/(-8))\/(10 + 224\/q) and -41\/75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*k + 88*k - 21*k)*(0 + 3 - 2 + (-2 + 4 - 1)*(-5 + 4 + 0) + (-10 + 6 - 2)*(-4 + 5 - 3) + 2 + 0 + 0).\nAnswer: 1694*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*b + 0*b + 34*b)*(-4*b + 0*b + 3*b) + 24*b - 24*b + 9*b**2.\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460608?\nAnswer: 2, 3, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 32485410.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -52*p + 370 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 - 196*d**2 - 6*d + 0*d**4 - 3*d + 4 + 199*d**2 + 5*d**3 + 10*d to q*d**2 + l*d + t + r*d**4 + s*d**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1273, 1, 2, -8752 in ascending order.\nAnswer: -8752, -1273, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-46)\/(-11) + (-12)\/66 + 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/36405 and 89\/636.\nAnswer: 7717860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17995, -19281, -20567, -21853?\nAnswer: -23139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2811 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1284*c - 3814. Calculate w(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -260? (a) -4\/3 (b) 2 (c) -0.84 (d) 3 (e) -12\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moomooommmmmm. Give prob of picking 2 o.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 10) to base 16.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 10*o**2. Let j(k) = -4 - 4 - 10 + 15 - k. Let p(l) = 1. Let a(v) = j(v) + 3*p(v). Determine a(h(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -34 - 17 - -74?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641668859.\nAnswer: 13, 17, 2903479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/11 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 95 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -787\/2 + 393. What is the closest to 3\/10 in 5, n, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a4a7ba + 12a?\nAnswer: -1a4a690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -26, -140, -362, -728, -1274?\nAnswer: -2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37113 - 5?\nAnswer: 37106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(8)*1 + 1 - sqrt(96)\/(sqrt(36)\/sqrt(3)))*5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4, -3*o = -0*g - g - 16. Find the second derivative of -2*r**o - 10*r - 4*r + 6*r**4 + r**4 wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1037 and 11.673177.\nAnswer: -1025.326823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ddsddsdddd?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 17. Suppose n*w - g - 690 = 0, 5*w + 5*g - 43 = 1127. Let i = w + -156. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395207101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 722815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 3*g**2 - g + 2. What is x(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) - sqrt(2688))*5)\/(sqrt(6) + (sqrt(108)\/sqrt(3))\/sqrt(6)))**2.\nAnswer: 8575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 28.6, -5?\nAnswer: 28.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 58. Suppose 5*y = 43 + q. Suppose 0 = 2*k + k - y. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.2 (b) -3759 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-25)*(-55)\/(-4)*(-358)\/1969. Let o be (2\/1)\/(-2) + 3. Put -47, a, o in increasing order.\nAnswer: -47, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2\/3 - 43*l + 128\/3 = 0.\nAnswer: 1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naaan. What is prob of sequence na?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, 4, 5, -9.\nAnswer: -9, 0, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30\/19 + 79\/38. What is the second smallest value in 0.4, 0.6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - d**2 + 4*d**2)*(-8*d + 8 - 8)*(3 + 34*d**2 + 23*d**2 + 18*d**2).\nAnswer: 600*d**5 + 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 38*o - 69. Let y be s(2). Suppose a = -p + y, p + 18 - 10 = 4*a. Solve p*i + 0 = -0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211253 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18*(-3)\/((-3)\/1). Let l be (-66)\/(-4)*(-8 + 336\/o). What is the greatest common divisor of l and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h + d - 603 = -2*d, 0*d + 7*d + 33 = 2*h - 0*d for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - f**4 - 1 + 9*f**3 - 9*f**3 - 4*f**4 + (-2*f - 1 + 1)*(4*f**3 + 3*f**3 - 5*f**3) + 9*f**4 - 35*f**4 + 16*f**4.\nAnswer: -19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 40*t = 148, 5*a - 18 = 4*t - 6*t + 5*t for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2 + 2*l**2 + 2. Let v(g) = -6. Let m(x) = -x + 2. Let c(f) = -3*m(f) - v(f). Determine u(c(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -60*g**2 - 45*g**3 - 3*g**4 + 3\/2*g**5 + 63 + 87\/2*g = 0.\nAnswer: -3, -2, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 14 + -9 + 10 - (-148 - -122)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 9*z - 12. Let x be g(-6). Suppose -6 = -6*i + x. Suppose 9*u**2 - i*u**3 + 50 + 3*u**3 + 15*u - 43 = 0. What is u?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401452 is divided by 200715?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (23\/46)\/(-2*3\/(-79284)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 - 83 = -y. Suppose a = -a + y. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/488 + -5005\/488. What is the common denominator of p and (-81)\/54 - ((-268)\/(-96) - 3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1049 + 1041.68. Let b = 6.32 + a. What is the nearest to b in 2\/7, -2, 1\/16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-18)\/24 - 7\/(-2). Suppose 2*k - 234 = -4*m, 239 = q*k - 2*m - 13. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/562 - -559\/1686. Let u be ((-2)\/625)\/(1\/(-5)). Let o = 27\/125 - u. Which is the nearest to w? (a) -1\/2 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 13*s + 383. Calculate x(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/4)\/(3*40\/(-60)))\/((-2)\/912).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/13, 0.2, -0.2, 4\/397, 0, -14366?\nAnswer: -14366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1018 and 6109\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 12*r**2 + 12*r - 9. Let p be s(11). Solve -2*v - 6 = -p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*n = -2, 0 = 3*k - 2*n - 3*n - 21. Let z(c) = c**3 + 2*c**2 - 5. Let r(d) = -d**3 - 2*d**2 + 4. Calculate k*z(w) + 3*r(w).\nAnswer: -w**3 - 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x**4 + 0*x**4 - x**4)*((0 + 2 - 3)*(3 - 5 + 3) - 1 + 2 - 3) - 3*x**4 + 2*x**4 - 2*x**4.\nAnswer: 42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, 4, 68.2, -223, 1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39039 is divided by 521.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5831197?\nAnswer: 5831197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17466*z - 24 + 17490*z - 34959*z.\nAnswer: -3*z - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.3. What is the nearest to -1\/3 in i, 2\/5, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4148281 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 267480?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -1077*v**7\/7 + v**4\/2 + 1108*v**3\/3 + 1031. What is the third derivative of h(u) wrt u?\nAnswer: -129240*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/8)*m**16 assuming m is positive.\nAnswer: m**(125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-2))\/(2\/4). Let w = -8917\/7 - -1276. Find the common denominator of (t\/(-75))\/(4\/10) and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.0365 months in centuries?\nAnswer: 0.14336375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3181357 and 0.15.\nAnswer: -3181356.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w**2 + w)*(4 + 3*w - 4) + (-8 + 6 + 3)*(1 - 1 + 2 + (0 + 1 - 2)*(0 - 2 - 4) - 5 + 0 + 1)*(2*w - 2*w + w**3).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a factor of 23287290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 124500 = -20*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 13584361.958\nAnswer: 13584365.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -4*f**3\/3 + 3*f**2\/2 + 12. Let b be y(1). Is (-3512)\/(-16)*(-2)\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4036 divided by 1009.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-420)*12*(-7)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*j**2 + j**2 - 2*j**2)*(-3*j + 0*j + 2*j) - 6 - 5*j**3 + 0*j**3 + 4)*(-50*j + 31*j + 35*j).\nAnswer: -96*j**4 - 32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -597, -1356, -2661, -4692, -7629?\nAnswer: -11652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 15*x**2 - 53*x - 17. Calculate g(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*c + 383*c + 170*c + 111*c + 16527 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 1:29 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j = -68*j - 86 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 229065 divided by 440\nAnswer: 45813\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67035 is divided by 871.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -310 + 312. Let f be (2\/(-6) - 190\/(-30)) + 0. Suppose 0 = 6*c - 3*c - 6. Solve -f - 2 = c*z, b*t = z + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/11 + 2868*z**3\/11 + 831618*z**2\/11 - 140933520*z\/11 + 4829479200\/11 = 0. What is z?\nAnswer: -780, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321728, 641766, 961804, 1281842?\nAnswer: 1601880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.38 + -65.63332?\nAnswer: -64.25332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l + 51 = 33*l. Suppose 0 = 2*y - 4*a + 4, 0 = -5*y - 5*a + l + 3. Let f(z) = 25*z. What is the units digit of f(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/96*20\/(-14))\/((-28260)\/138474)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 25 = -29*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - -1*sqrt(110)*4)\/(-6*2*sqrt(10) - sqrt(10)).\nAnswer: -5*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -1273, 0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17546.09 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3028275 + -85?\nAnswer: -3028371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1. Suppose c - 3*z + 6 = 0, -4*c + 4*z + 0*z - 24 = 0. Let i(j) = 14*j + 16. Let v(f) = c*p(f) - i(f). What is the units digit of v(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/60 + 38*s**5\/15 + s**4\/24 + 18*s**3 + 1301*s**2. Find the second derivative of q(t) wrt t.\nAnswer: -12*t + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 517 = 597. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2144 and 16?\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 275*j**2 - 135*j**2 - 139*j**2 - 210*j to c*j + q + b*j**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1290 and 69402.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3634.6457 to the nearest ten.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/20)\/(-5 - (-147)\/28). What is the fifth smallest value in 2, 1\/3, 0, n, 0.11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5183889 and 1.\nAnswer: -5183889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*d**4 + 22*d**4 + 22*d**4 + (2*d - 4*d + 4*d)*(-1 + 1 + 2*d**3) + d**4 + d**4 - d**4.\nAnswer: 100*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.042\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/1340844 and 19\/54.\nAnswer: 12067596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*u**4 - 2*u + 0*u + 3*u**4 wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/8)\/k**(-3)*(k\/((k**(2\/7)*k)\/k))**(-7\/4) assuming k is positive.\nAnswer: k**(11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 6. Suppose -g*w + 7*w - 55 = 0. Suppose 0 = 3*y + 5*i + w, 5*y + 2 = -5*i - 13. Is -1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 80150, 320955, 722420, 1284545, 2007330, 2890775?\n\"Answer: 80330*a**2 - 185*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5832567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.5559386 to three decimal places.\nAnswer: -3.556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 8 = -0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -3*x**6\/10 - 77*x**4\/12 + 54*x - 2. What is the third derivative of y(m) wrt m?\nAnswer: -216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2616 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 121*x + 1150. Determine t(-12).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6138 and 26224.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 5*f**2 + 3*f - 2. Let o be h(-4). Differentiate -79 - i**3 + 78 - o*i**3 with respect to i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 99 - 16 = 0. Let b(t) = -65*t + 716. Let c be b(11). Sort j, -5, c in decreasing order.\nAnswer: c, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8892 = -0*d + 6*d. Suppose -2*b - 4*l + d = 0, 4*b = -2*l + 1101 + 1893. Suppose 0 = 6*i + 175 - b. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708990 is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = -w, 2*w + 4*r = w - 3. Let m = w - 11. Let c be (-46)\/m - 2\/7. Solve t - c*t = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4325 (c) 0.3 (d) 5 (e) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 3*b**2 - 2*b - 8. Calculate c(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -799*r + r**2 + r**2 - 2 + 797*r + 2*r**4 as m*r**4 + i + j*r + s*r**2 + k*r**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4976 - 3.5. Round m to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122252575.83 rounded to the nearest one million?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -65199001.3 rounded to the nearest ten thousand?\nAnswer: -65200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p + 2292 + 180 + 1768 = 115*p for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145938, -583817, -1313632, -2335383, -3649070?\nAnswer: -5254693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + x**2 + 2*x**2)*(-1 + 2 + 0) + x**2 - 2*x**2 + 3*x**2 + 0*x**2 + 4*x**2 - 2*x**2 - 5*x**2 + 3*x**2 + 3*x**2 + 4*x + 0*x - 3*x + 15*x**2.\nAnswer: 22*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4488)\/(-170) + -12)*5. Let -96 - 27\/2*w**2 + a*w + 3\/4*w**3 = 0. Calculate w.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from pqpmz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1061, 5255, 15727, 35615, 68057, 116191, 183155?\n\"Answer: 523*u**3 + u**2 + 530*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 176 - 3\/((-15)\/20). What is the greatest common divisor of 72 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -58. Let b = j + -44.93. Let i = 0.23 + b. Sort i, 9, -1\/4.\nAnswer: -1\/4, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370 - 3.\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.005 + -2. Let w = -0.01 - v. Round w to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*s**3 + 12*s**3 - 26*s**3)*(0 - 1 + 0*s - 2*s) as n*s**3 + l*s**4 + c*s**2 + h + w*s and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (112\/(-6) - -4)*6\/(-4). Let c = -415 + 705. Suppose c = 6*r - u. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383\/170 - 6\/17. Let t = v + -2\/5. Find b such that 3\/2*b + 3*b**2 + t*b**3 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4457 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let a be (-279)\/(-15) - 15\/25. Let n = a + -16. Let r(x) = -x**n - 33*x + 33*x - 2*x**2. Determine r(o(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33191 - -33218. Solve -7*v + 8 = -z for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80565 and 1805835.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 smaller than 568499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9086, 9075, 9050, 9005, 8934?\n\"Answer: -g**3 - g**2 - g + 9089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 31. Suppose -a = 3*v, -5*g + v = -2*g - 83. Calculate the remainder when 107 is divided by g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4089407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -1\/14*m**4 + 0*m**2 - 2\/21*m**3 - 15 + 0*m. What is d in q(d) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffflfffqfllffql. What is prob of sequence ql?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -j + 5*j - 3*f, -2*j + 2*f - 42 = 0. Let m(w) = -w**3 + w**2 - 12. Let y be m(0). Let v = y - j. Solve v = 2*t - 5*d + 4*d, -2*t + 11 = d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*r + 28, 5*i - r - 32 = 14. Calculate the greatest common divisor of i and 134.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2632)\/(-12) - (2\/(-3) - 0). Let m = 1535\/7 - i. What is the nearest to 0.1 in m, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*m**2 + 36 + 30*m**2 - 98 + 42 + 20.\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 90, 165, 240, 315?\n\"Answer: 75*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*g - 16*g + 2278 = 10*g. Let u(f) = 2*f**2 - 5*f + 4. Suppose 2*d = j + 6 + 4, 1 = -5*d - 4*j. Calculate the remainder when g is divided by u(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1504*y**5 + 3534*y**3 - 3534*y**3 + (-3 + 3 + 2)*(3*y**2 - 3*y**2 - 2*y**5) - 3*y**5 + 5*y**5 - 4*y**5 + 2*y**5 + 0*y**2 + 0*y**2.\nAnswer: 1500*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21552269.4 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, 1 b, and 1 o when four letters picked without replacement from {c: 2, o: 1, e: 8, q: 1, v: 1, b: 1}?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1326477349 to the power of 1\/2, to the nearest integer?\nAnswer: 36421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 28 = 2*d, -d - 3*d + 54 = -5*v. Let u = 65 + -35. Calculate the remainder when u is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60048*0.03.\nAnswer: -1801.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 3121.\nAnswer: -936.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71, 299, 671, 1181, 1823?\n\"Answer: -f**3 + 78*f**2 + f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 2*k**2 + k**4 - 2*k**5 + (3*k**4 - 3*k**4 + 2*k**5)*(0 + 2 + 1).\nAnswer: 4*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1757 + 4819 - 938 + 2*w.\nAnswer: 2*w + 5638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**3 - 19*d**2 + 4*d - 6. List the prime factors of q(-8).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -3\/145889, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -29\/24*s**4 + 0*s - 20*s**2 + 4 - 47*s**3 + 1\/20*s**5. Differentiate t(k) wrt k.\nAnswer: 6*k - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -1 (c) -4 (d) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 415 = 3*n + r, -2*n + 2*r = 220. Let l be n\/14*(-42)\/9. Let v be 21\/l + 3215003\/(-5). What is v rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/180 - 17*i**4\/108 + 91*i**3\/54 - 49*i**2\/6 + 555*i. Factor j(m).\nAnswer: (m - 7)**2*(m - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3\/3 - 1108*n**2\/3 + 156728*n\/3 - 300304 = 0.\nAnswer: 6, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 6*d - 10. Let b be r(-7). Let z = b + 56. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -16. Which is the smallest value? (a) r (b) -0.5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4 + 15. Let v = -13 - h. Suppose 0*o + o = l - 20, -2*l - 5*o + 26 = 0. Calculate the highest common divisor of v and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**3 + 20*v - 20*v - 7*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 + 2. Let k(q) = q + 1. Let g(o) = -j(o) + 2*k(o). Calculate the lowest common multiple of g(6) and 48\/14 - 8\/112*-8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2495134 less than -93?\nAnswer: -2495227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i - 1. Let y(j) = -6*j + 4. Let t(d) = d**3 - 9*d**2 - 23*d + 10. Suppose -5*v + 2*x = -49, x - 2 - 1 = 0. Let c be t(v). Calculate c*y(u) - 5*w(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 78*i**2 - 38*i + 135. What is the thousands digit of a(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -943 + 946. Let p = -354\/95 + 86\/19. Which is the fourth biggest value? (a) -2\/13 (b) p (c) z (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8*(-6)\/420)\/((-6)\/45). Factor -6\/7*p - f*p**2 - 2\/7 - 2\/7*p**3.\nAnswer: -2*(p + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/12816599?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76899157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355946 = 9888*o + 860234 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*q**3 + 25*m**3*q + 52*m**2*q**3 - 5*m**2*q**2 wrt m.\nAnswer: 6*q**3 + 150*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234850 and 3500?\nAnswer: 2348500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:22 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-1))\/(-1)*36\/(-12). Suppose 0 = 6*t - u*t. Solve -1 = 2*n + 2*q + 3, t = -n - 3*q - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -799790154.0000223 + 799790192. Let p = l - 38. What is p rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0 + 5 + 0. Suppose -n*l + 0*r = 4*r - 4, -l + 5*r = -19. Suppose -38*k + 4 = -37*k. Solve -5*v = -6*v - 2, k*i + l*v = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9903330 and 21787326?\nAnswer: 108936630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (182\/(-8))\/(-7) + -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16684726 to the power of 1\/2, to the nearest integer?\nAnswer: 4085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47511.\nAnswer: 3, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q*q**(-3)*q*q)**(2\/39)\/((q**2*q**(-2\/21)\/q*q)\/(q**1\/(q\/(q**(2\/7)*q)))) assuming q is positive.\nAnswer: q**(-253\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 - 37 - 92)*(0*v**2 + 0*v**2 - 4*v + 3*v**2 + (3*v + v - 2*v)*(v - 3*v + 3*v) + 0*v + 0*v + 3*v**2) as l + d*v + k*v**2 and give d.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j. Let t = -540 + 542. Let p(s) = s**2 + 5*s. Calculate t*p(i) - 4*h(i).\nAnswer: -2*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3 - -27)\/(-4) + 15)\/(5\/20365).\nAnswer: 3, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 65*s + 367. Is 19 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from ssbsssjbvssjsvbs?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 1616*z - 163216.\nAnswer: -4*(z - 202)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*a + 9. Let l(x) = 2*x + 25 + 26 - 49. Give l(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2462*t + 87. What is z(0)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 0*s**3 + 2 + 13*s**3 - 8*s**3.\nAnswer: 5*s**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98269706?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 9065225.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 15080000 to the nearest one hundred thousand.\nAnswer: 15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -15*q**2. Let m = 109 - 107. Let i(u) = 8*u**m - 16*u**2 + 6*u**2. What is g(i(a))?\nAnswer: -60*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*1 + 3243\/(-23). Let k = m - -146. Solve k*o + 1 = 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1427.7 + -1428.2. What is the nearest to 6 in 3\/4, 1, l, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 14 in ascending order.\nAnswer: 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -2. Solve h = -l - 3 - j, 4*l = -12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 0 + 0)*(-21365 + 2133*n**3 + 21365) in the form v + x*n**3 + f*n + h*n**4 + s*n**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -423 (base 8) to base 3\nAnswer: -101012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -3. Let p(c) = 0*c**2 - c**2 + 4*c**f. Let i(y) = -y**2 - y + 1. Let z(h) = 3*h**2 + 2*h - 2. Let g(j) = -2*i(j) - z(j). What is g(p(l))?\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16549, -16550, -16549, -16546, -16541, -16534?\n\"Answer: l**2 - 4*l - 16546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 6 + ((-495)\/3)\/11)*25\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1459 and 29219393.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -893?\nAnswer: 11\/893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 34, -82, -444, -1166, -2362, -4146, -6632?\n\"Answer: -19*x**3 + 48*x**2 + 5*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 20. Let u be 1\/(6\/5 - m). Solve -u*f + 21 = -r, -4*r - 4*f + 12 + 0 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 - (4 + -4 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = b + 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 2*u + 16. Let q be y(5). Let g = 194 - 967\/5. Is q less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3\/2, 12, -1\/4, -0.027, 14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8 - -19) + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -13.9. Do q and -0.1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1135 (b) -0.0114 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, 2, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000445356 to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + 8*l + 9. Let z be o(-3). Suppose 4*d + 8 = 3*m, 3 - 8 = -5*d. Solve m = -5*s + z*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -61*z. What is f(-1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:53 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*sqrt(1331) + sqrt(1331) + -3 + 4 + (sqrt(1331) + -3*(sqrt(1331) + 0 - sqrt(1331) - sqrt(1331)) + 1)**2.\nAnswer: 66*sqrt(11) + 21300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134032?\nAnswer: 2, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3412 (base 11) in base 7?\nAnswer: -16043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/6)\/((-1)\/3). Let s be 12\/z*(-220)\/(-6). Suppose 2*a - s - 90 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(494\/(-117)))\/((209\/22)\/(-19)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2092774?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(99) + -3))**2 - (3*sqrt(121))\/sqrt(11) - (sqrt(55)\/(sqrt(5) + sqrt(30)\/sqrt(6)) - (sqrt(44)\/sqrt(2))\/sqrt(2)).\nAnswer: -29*sqrt(11)\/2 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g - 63 = 33 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - p - 3*p + 38, -p = -5*q + 71. Let h be (120\/(-72))\/((-1)\/33). Suppose 0 = q*j - 9*j - h. Calculate the highest common factor of 88 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 2*r + 2. Let y(p) = 3*p + 3. Calculate -3*i(c) + 2*y(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-3 + (-6 - -7)). Let w be 60\/33 + (3 - (5 - t)). Which is the smallest value? (a) w (b) 2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from sdeslfdev.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -194\/15 - -68\/5. Let v = 2.79 - 3. Let g = -0.79 + v. Which is the biggest value? (a) u (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -888 - -942. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4467 and 4.\nAnswer: -4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -498\/7 + 1508\/21. What is the third biggest value in -216, f, 0?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36087172643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30177 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1*(10 - -3). Let o = d + 7. Let t = 12 + o. Solve 0 = -3*g - 9, 4*p = 3*g - g + t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v - 4. Let k = -4 + v. Suppose 15 = -55*g + 58*g. Solve g*n - 27 + 12 = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/132 and 139\/6402.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/204 and 13\/874752?\nAnswer: 874752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x**3 - 55*x**2 - 115*x - 45. Let s(d) = 6*d**3 + 18*d**2 + 39*d + 15. Let a(q) = -8*s(q) - 3*t(q). Factor a(z).\nAnswer: 3*(z + 1)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 9726 - 9726. Let j(g) be the third derivative of -g**5\/20 - 2*g**2. Calculate j(s(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15139b + -1?\nAnswer: 15139a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 321 in 0.3, -210, -2, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3 + 2 - 4. Let r(n) = -4*n + 13. Let q(d) = d - 3. Let p(u) = -u + 6. Let j be p(4). Let m(t) = j*r(t) + 9*q(t). Determine -3*i(k) - 3*m(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 6*z = 76, 480*l - 3*z + 22 = 481*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (4 - 17)) + (-1 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 5*p - 9*p + 8*p + 3*p + 120 in the form w*p + f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 0.1 (c) -121 (d) 2\/11 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157*s**3 - 227*s**2 wrt s.\nAnswer: 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 27*a**2 - 15*a - 154. Let r be x(23). Calculate the greatest common divisor of 98 and r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 2*w - 2*w in the form d + m*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.6883045.\nAnswer: -2.0649135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4939017*k**6 + 37718*k**2 + 7*k + 1 wrt k?\nAnswer: -592682040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - 2 - (13 + -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16006317 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/25)\/m)\/(m\/(m*m**7)))\/(m**3)**(3\/16) assuming m is positive.\nAnswer: m**(2143\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - z**2 - 1. Let i(j) = j**2 + 0 + 0. Let s = 5 + -6. Let x(y) = s*i(y) - v(y). Find the first derivative of x(f) wrt f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*t - 25*t + 703*t**2 - 32*t - 30*t as f + c*t + q*t**2 and give q.\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*a + 88*a - 160*a)*(5*a**4 - 4*a**4 + 2*a**4).\nAnswer: -384*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 43862337 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*5*112\/3080.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 67, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 f when three letters picked without replacement from {v: 3, g: 1, k: 2, f: 2, b: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - 1*(sqrt(110)*2 + sqrt(110)))\/((2*2*sqrt(10) - sqrt(10)) + sqrt(10)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**3 - n**3 + 3*n**3)*(-2*n + 6*n - 5*n).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 5. Suppose 2*i + 2*w - 22 = 0, 4*w + 29 + 23 = 2*i. Let y = i - o. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65217591*x**3 + 64732789 with respect to x.\nAnswer: 195652773*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q - 2*b = 50*q - 17, -q + 7 = 2*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -447081?\nAnswer: -447077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 times 76.33?\nAnswer: -17861.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*(-12260)\/(-3678)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -38672889?\nAnswer: -2\/38672889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2485286313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 + 105. Put t, -2, 4 in descending order.\nAnswer: 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y + 2. Suppose -3*n + 0*n = 6. Let g(b) = -5*b + 3. Let h(u) = n*g(u) + 3*l(u). Let i(a) = 0 + 0 + 2*a**2. Give h(i(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m. Let a(l) = l. Calculate -a(p) + v(p).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.19 (b) -0.3 (c) -2\/19 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -53*c**2\/2 - 80. Let n(w) be the first derivative of w**3 - 13. What is n(j(x))?\nAnswer: 8427*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75\/(-375)*(2 + 3). Which is the closest to -1? (a) 1\/5 (b) w (c) 0.1 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 - 38. What is the lowest common multiple of ((-189)\/378)\/((-5)\/110) and w?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81724003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99502886 is divided by 3553674.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 - 13) + (3 - 1). Suppose -13 = -3*v - m. Suppose z + v*z = 105. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256 - 45090*u + 256.\nAnswer: -45090*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 1510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5. Suppose -3*j = 5*c + 4, w*c = 4*j + 4*c. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 11*p - 9. Let c be q(-6). Let d = -129 + c. Let z be ((-4)\/(-6))\/((-16)\/d). Is 7 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 40 - 15. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -3 + 5 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/2 (b) -2\/19 (c) 5 (d) 214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 312 (b) -100 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 267210947495 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i - 2960 = -55*i. Let h = i + 1065. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouf when three letters picked without replacement from vlvovvvvuuvfov.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465208.\nAnswer: 2, 58151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 0 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 15 + -9 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 20*l**3\/7 - 1067768*l**2\/7 - 41245188*l\/7 - 24362712\/7 = 0.\nAnswer: -38, -3\/5, 53427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 5 (b) 2\/7 (c) -49 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 14*n + 7*n + 194, 14*c - 27*n = -22*n - 30 + 747 for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3 + 364*a**2 - 487446*a = 0.\nAnswer: -593, 0, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h**5 + 154215*h**4 + 6706430*h**3 - 16834875*h**2 - 44548030*h - 21160920 = 0.\nAnswer: -7667, -46, -1, -3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 20*h + 46 + 107*h + 37 + 18 as a*h + g and give g.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -2. Let x(w) be the third derivative of w**6\/120 + 7*w**5\/60 - w**4\/12 - w**3\/6 - w**2. Is x(n) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 + 38\/14. Let q(p) = -3*p**2 - 12*p**m + 11*p + 11 + 17*p**3 + 3*p**2. Let u(r) = -3*r**3 - 2*r - 6 - 4*r + 0*r. Give -6*q(w) - 11*u(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -152 (b) -0.5 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 132210 + 95965. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/531 and 49\/48?\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 + 15 = 0. Let u(s) = -1 - s - 5 + q + 3*s**2. Let m be 2\/4*2\/(-1). Give u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*k + 4*f + 1, 4*k = -4*f - 8. Suppose 3*n = -3*i + 39, k = 5*i - 4*i - n - 9. Suppose -i*s + 24 = -10*s. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -8*k**2 + 0*k**4 + 0 + 1\/4*k**6 + 0*k + 0*k**3 + 0*k**5. Let z be o(1). Calculate the greatest common factor of 12 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6758266, 6758307, 6758348?\nAnswer: 6758389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 74*f - 1. Let r be c(4). Let h = r - 206. Let o = -37 + h. What is o rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 21. Suppose 6 - t = -4*k. Factor -l**k + 6*l**2 - 6 + 15*l - 15*l**2 - l**3 + 4*l**4 - 2*l**3.\nAnswer: 3*(l - 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/5 (b) -2.64625 (c) 0.2 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 87*n**2 + 90*n - 340. Determine l(86).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, 3\/13, 3\/5, -5 in decreasing order.\nAnswer: 1, 3\/5, 3\/13, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2553*a**2 - 3000*a**2 + 2321*a**2 + 4242*a**2 + 8052*a**2.\nAnswer: 14168*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48118, -192399, -432844, -769453, -1202226, -1731163, -2356264?\nAnswer: -3077529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -15. Suppose 2*w - g*v = w + 28, -2*v + 16 = 3*w. What is the third derivative of 10 - 5 - 7*h**2 + w*h**3 - 5 wrt h?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + -1 + sqrt(7) + 1 + 3)*4)**2*2.\nAnswer: 1152*sqrt(7) + 8352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -233648085 divided by 17?\nAnswer: -13744005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53 + -26. Suppose 0 = -5*l - 0*l + 665. Let c = l + s. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 16*z - 26. Let c be t(14). Suppose n + 2 = 2*j, c*n + n = -2*j + 10. Factor 8\/3*l + 1\/3*l**3 + 5\/3*l**n + 4\/3.\nAnswer: (l + 1)*(l + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*w**3 + 0 - 3*w + w**2 = 0. Calculate w.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:18 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -3*v + 33, 207 = 6*v - v + 4*q + 226 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84140 by 5.\nAnswer: -16828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3795739796 and -6088?\nAnswer: 3795745884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -11*a - 2466. Let f = a + 125. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/360 + r**5\/30 - 5*r**3\/2 - 11*r**2. Let s(c) be the first derivative of m(c). Determine s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134 (base 5) to base 9.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3, 116, 1\/3, 164?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + (69 - 69)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5250 = 40*j + 2*j. Calculate the highest common divisor of j and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-15 - (-1 - -13)) + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 74 - 115 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.93? (a) -3\/43 (b) -18 (c) -0.04 (d) 5 (e) -2\/7 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9 = -k - 0*m, -5*k + 15 = -m. Let d(o) = o - 4. Let z(a) = 1. Let h(g) = k*z(g) + d(g). Let y(q) = -2*q. Calculate h(y(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3975*k**2 - 21*k - 507*k**2 + 21*k - 4113*k**3 wrt k?\nAnswer: -24678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 27, 0.5, 22.2, 2, 0.6, 0?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 - -156. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -766 - -853.3. Let b = l - 87.3001243. Round b to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btmtasimibti. What is prob of picking 2 t and 1 a?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 6 = -5*f, -4*k - 4*f = -28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, 177, 683, 1403, 2343, 3509?\nAnswer: 4907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -570 divided by -2390.\nAnswer: 57\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/6 + -2)\/(2\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 767 + -623. Let n be 1168\/g + (-2)\/18. Solve -5*o - n = 2*q, 0 = 2*q + o + o + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2766, 5528, 8288, 11046, 13802?\nAnswer: 16556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5200*p**2 - 5772*p**2 + 3389*p**2 in the form s*p**2 + c*p + y and give s.\nAnswer: -7583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -590*n**3 - n + 535 wrt n?\nAnswer: -1770*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4134\/104 - -2) + 63\/28?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1037a393 - 0?\nAnswer: 1037a393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6 - 3)\/9)\/(2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-3)\/(-6) + 15\/(-6)). Suppose v = -32*g + 35*g - 75. Let y(d) = 68*d**2 - d. What is the remainder when y(1) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:55 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.86358 micrometers to kilometers.\nAnswer: 0.00000008686358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*o = 9*o + 1224 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/49)*r*(r*r**(-22))\/r)\/(r*r*r*r**(4\/3)*r*r\/(((r*r**(-16\/7)\/r)\/r)\/r)*r) assuming r is positive.\nAnswer: r**(-4789\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77*30\/(-28875)*((150\/9)\/(-5))\/(-3).\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(125) + -1))**2 - sqrt(10)\/((sqrt(2) + sqrt(8))*2).\nAnswer: -961*sqrt(5)\/6 + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/42 and 129\/154.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -415 by 25.\nAnswer: -83\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1421\/3 - 484. Calculate the common denominator of 49\/6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/35)\/((-2178)\/270 - -8). Sort -18, 0.4, 4, n in descending order.\nAnswer: 4, 0.4, n, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97444, 196462, 295482, 394504, 493528, 592554, 691582?\n\"Answer: t**2 + 99015*t - 1572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 + -129.9996488. Round u to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 336\/72*(-36)\/(-462)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100 + -101001010110?\nAnswer: -100100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rekc when four letters picked without replacement from {y: 1, k: 1, r: 1, c: 1, e: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0 - 6. Let w be ((-1)\/2)\/((-9)\/36). Let l(a) = -2*a - w*a + 5*a. Determine l(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/45)\/((-164)\/820)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((sqrt(112) - (sqrt(112) + -2) - sqrt(112)) + sqrt(112))*6)**2 - (sqrt(112)*-2 + -4)) + (1*(1*sqrt(35)*-2)\/sqrt(5))**2.\nAnswer: 8*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1368?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/10 and -67\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 15. Let u be m(-6). Let -17*r**2 - 32*r**2 - 4*r**4 + 48*r + 1 + 24*r**3 - u*r**2 - 17 = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h + 33*h + 8*h)*(-1 + 1 - h) + 2*h**2 + 2*h**2 - 2*h**2 + (-2*h**2 + 4*h - 4*h)*(4 - 5 - 1).\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -5. Let b be 32\/12*q\/4. Let v be (1 + b)\/(6\/(-4)). Is v > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 125 from -2342.15.\nAnswer: -2467.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 15*i - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006159063 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -4*u**5\/15 - 25*u**3\/6 + 31*u**2\/2 + 40*u. Let t(b) be the first derivative of v(b). Differentiate t(g) with respect to g.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**6\/240 - f**5\/120 - f**4\/48 + f**3\/12 + 2*f**2 + 3*f. Let b(q) be the first derivative of n(q). Factor b(t).\nAnswer: (t - 1)**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1395938 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 127*h + 1076. Let b be l(-8). Sort b, 1\/6, 3, 5 in descending order.\nAnswer: 5, 3, 1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*m**5 - 223000*m**4 - 1026512432*m**3 + 88583838816*m**2 + 309410301824*m - 245339933696 = 0. What is m?\nAnswer: -9334, -4, 2\/3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -11. Suppose 31 + 18 = -7*q. Let d(f) = 9*f**2 - 6*f + 11. Let s(c) = -4*c**2 + 3*c - 5. Determine q*s(y) + x*d(y).\nAnswer: y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 11 + 55. Suppose -a = 5*s - 0*a - 55, x = 4*s - 5*a. Let z(c) = c**2 - 10*c + 3. Is 14 a factor of z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10 = 8*h. Suppose 3*c = -h*c + 10. Suppose 0*o = c*o - 40. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 25. Calculate the lowest common multiple of 12\/(2 - (-4)\/(-8)) and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11 + 9 = 0. Let a = 12 - h. Solve 0 = -2*k + 3*i - 14, -a*i = 2*k - 0*k - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -10) + (-17 - -23 - (5 + 6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-3) - -3)*-15. Suppose 0 = 4*y + r*y - 17730. What is y rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 3*j - 7. Let h be r(-3). Is -7 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**3 - 255*k**2 + 372*k - 123.\nAnswer: 3*(k - 41)*(k - 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 144?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/33 - (16 + -12 - (-172)\/(-48)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 40*k - 45*k. What is the smallest common multiple of k and (-66)\/(-6)*1 - -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*r**3 + 13*r + 2*r**3 + 42*r to the form j + b*r**3 + v*r**2 + o*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**3\/9 + 3744*w**2 - 179968*w\/3 + 2160640\/9 = 0.\nAnswer: -8440, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3491201ml in litres?\nAnswer: 0.0003491201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1984, -3732, -5494, -7276, -9084, -10924?\nAnswer: -12802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105811 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 263.727 - 264. Let z = 0.037 - k. Let s = 2.69 + z. Put 1.2, -0.5, s in increasing order.\nAnswer: -0.5, 1.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*u + 6*u - 4, q + 5 = 4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*v - 6. Let x be 14\/6*(-3768)\/44. Let f = -200 - x. Sort f, 5, v.\nAnswer: v, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 780 and 325472030.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 0 - (50\/(-5) + -4). Suppose -t - 4*b + 8 = 0, -t + m = t + b. Solve -t*v + 4*d + 40 = 0, -4*v - d + 15 = -0*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 6 + (-16)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-68 - -73) + 106\/(-22). What is the closest to -1 in y, -13\/4, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887 = 24*j - 887 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573381227.\nAnswer: 3863, 148429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20233, -17211, -14127, -10951, -7653, -4203, -571, 3273?\nAnswer: 7359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -5*z - 1. Suppose -4*q = j + 2 + 1, -5*q - j = 5. Let r be y(q). Suppose -r*b + 5*b = -8. Solve 4*s - i + 12 = 0, 5*s = 3*s - b*i + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(45) + sqrt(180))*-1 + -2.\nAnswer: -27*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 4*t**2 - t**2)*(22 + 20 - 11).\nAnswer: 62*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 4*u**2 + 5*u + 3. Let a be l(5). Suppose 0 = -a*x - 2 - 4. Find the common denominator of 6\/4*x\/(-6) and 61\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012272484 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1136690 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 508352 by -23.\nAnswer: -508352\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -26\/9, 3\/8, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 688272*n + 29607396624.\nAnswer: 4*(n - 86034)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/2)\/((-20)\/16). Let w(g) = -2*g + 4 + 4*g**2 - 3*g - 3*g**2. Let n be w(3). Sort n, o, -5 in descending order.\nAnswer: o, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34847 - -3449546\/99. Let p = 28\/11 + v. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2058 divide 69420456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*i**4 - i**2 - 2805*i + 149911 with respect to i.\nAnswer: 40*i**3 - 2*i - 2805","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 10*q**2 + 11*q + 16. Calculate c(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**4\/6 - 18*r. Let m = 63 - 40. Let d(a) = m - 13 + 19*a**2 - 10. Calculate x(d(z)).\nAnswer: 722*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*q + 42 = 30, 0 = h - 3*q - 19. Solve c - 4*c + 18 = -4*v, 4*c = -5*v - h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2770, -0.08, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1218794983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/25, 0.155, 2, 3, 2\/3?\nAnswer: 0.155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -39*s**2 - 817*s + 44. Determine a(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10) + 29*(-24854)\/12470?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**6\/120 - g**5\/60 + g**4\/8 + g**3\/6 + 8*g**2 - 342*g. Give c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -128535.4466.\nAnswer: -128535.8466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311*w**2 + 177*w**2 - 246*w**2 to the form l*w + g + c*w**2 and give c.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 4*m + m + 0*m)*(m**2 + 4*m**2 - 3*m**2) - 2*m**3 - m**4 + 2*m**3.\nAnswer: 5*m**4 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3430534 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -7 + 14. Is -2\/3 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q + 9*q - 7*q)*(-6 - 4 + 15).\nAnswer: 65*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o - 4*i - 10, o = -4*i - 18. Suppose 2*g - 2 = -b, -2*b + 5*g - o*g = -11. Let u(k) = 2 + 2 + 7*k - b. Let y(s) = -s. What is u(y(r))?\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -16438\nAnswer: -5\/16438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64713, 69154, 73593, 78030, 82465, 86898?\n\"Answer: -a**2 + 4444*a + 60270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 4*w - 19, -3*k - 19*w - 104 = -7*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -15*c**2 + 2022*c + 415. What is m(135)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0053408 rounded to five decimal places?\nAnswer: 0.00534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 68\/99, 1, 0.047 in ascending order.\nAnswer: -5, 0.047, 68\/99, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 22. Let d(b) = -2*b**2 - 33. Let v(c) = -4*d(c) + 6*j(c). Let l(i) = -14*i + 8. What is v(l(z))?\nAnswer: 392*z**2 - 448*z + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2. Let w be ((-24)\/(-9))\/((-2)\/(-3)). Suppose -2*z = -3*a + 8, w*a - a - 3*z - 9 = 0. Let r(n) = -3*n**a - 7*n**2 + 5*n**2. What is r(i(d))?\nAnswer: -45*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 16, 2*s = -5*h + 4*h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126821 by 28.\nAnswer: -126821\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 99227092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -63*j**2 + 4*j + 5. Calculate i(-1).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 6:11 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (28 - (-19 + 52)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -78821221.\nAnswer: 39410610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-138)\/(-70) + (-3)\/(-5). Let y = a - 47\/21. What is the second biggest value in -0.1, y, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 18145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/6)\/(153\/(25245\/22))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nban. Give prob of picking 1 b and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829245 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -59, -13, 400, -1.\nAnswer: -59, -13, -9, -1, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -803 divided by 5\nAnswer: -803\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 22116*x - 2201600.\nAnswer: -(x + 100)*(x + 22016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15697 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/13 + 53968*g**2\/13 + 56535840*g\/13 + 15107212800\/13.\nAnswer: 2*(g + 540)**2*(g + 25904)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1*c)**34)**21\/((c\/(c\/c**7))\/(c\/c**(-5)*c))**23 assuming c is positive.\nAnswer: c**714","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5665 - 5668.56447. Let j = 3.56 + u. Round j to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1633*c + 593. Is j(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*a + 12. Suppose 0 = -2*h - a*t - 2, 0 = 2*t - 3*t - 5. Suppose -d + h*z = -19, 3*z = 4*d + d - 163. Which is smaller: d or 36?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-304)\/(-3496) + (-90)\/(-23). Suppose 5*o - 1 = 4*o. Let p be -1*(-1 + -2)*o. Let y(m) = -4*m**2. Let v(x) = 4*x**2. Give j*v(c) + p*y(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 636*w**5 + 188*w**2 + 203*w**2 + 613*w**5 - 316*w**5 wrt w?\nAnswer: 55980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/(-20))\/(1\/(-5)). Let l(j) = j + 9. Let a be l(p). Suppose -3 = 5*z + 4*s + 2, 3*s = -a*z. Calculate the greatest common divisor of z and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*q = 1228, -b + 4*q - 316 = -2*b. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 - 844*f\/5 + 2523\/5.\nAnswer: (f - 841)*(f - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -7232.\nAnswer: 5\/7232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2313461 and 1900.2?\nAnswer: 2311560.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 65 = -0*y - 2*g, -4*g + 52 = -4*y. Let c be y*(2 - 1)*-1. Suppose -4*a + 4*r = 8, -a + 3 = -5*r + c. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 614556 + -614556.09999928. Let j = -0.3 - -0.2. Let u = j - o. Round u to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 220?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-933*p + 1429*p + 4183*p)*(6*p - 3*p - p).\nAnswer: 9358*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-370)\/36)\/(188735\/(-679446))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*c = 91, 3*p + 2*c - 186 = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53645 * -0.23\nAnswer: 12338.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -0.19 (b) 5 (c) -1\/5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a day in minutes?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -243 - 696 + 466 + 2*g - 655 as b + j*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) 0.8718 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/864)\/(9*(-63)\/(-1944))?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153615*h**2 - 43037*h**2 + 156400*h**2.\nAnswer: 266978*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101112 (base 4) in base 12?\nAnswer: 301a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -33, 3 in increasing order.\nAnswer: -33, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -2*d + d. Is d - (-2 + (-4)\/(-2)) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 4*w + 14, 0 = 2*h + 5*w - 23 + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2*k*w + 3*i**2*w**2 + 13*i*k + i*w - 24*k*w**2 wrt w?\nAnswer: 6*i**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/10 - -7)*(-18)\/(-3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180477556865 - i**3 + 180477556865 + 0*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/357693 and -52\/21.\nAnswer: 357693","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y**2 + 15*y + 30. Let v(z) = 17*z**2 - 60*z - 122. Let f(j) = -9*d(j) - 2*v(j). What is the units digit of f(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 887 is divided by 97?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-3) - 4\/12. Let b be (-2)\/x*(9 + -5). Suppose k + b*j = 30, -3*k + 0*k - 4*j = -82. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16244115 to the power of 1\/2, to the nearest integer?\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22.05 - -22. Suppose 4*p - 14 = -2. Let k = 41\/8 + -5. What is the smallest value in f, p, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/8)\/3)\/((-17)\/238)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/784 and (-309)\/18 - (75 + -79).\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*22\/(-55))\/(3\/(72\/4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + (-3)\/(-5))\/((-7)\/145) and -59\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1929 and 5144.\nAnswer: 15432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128752518 and 522.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*n**2 + 10*n**2 + 2*n**4 + 3*n**3 + 0*n**3 to t + l*n**3 + f*n**4 + i*n**2 + h*n and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-68)\/10)\/((9\/(-30))\/3). Let d = 194 - v. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = g + 2390, g + 3*g = 0. Find the third derivative of 962 - 484 + 3*v**5 - h + v**4 + 28*v**2 wrt v.\nAnswer: 180*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**7\/70 + r**5\/30 - 3*r**2\/2 - 2. Let d(y) be the second derivative of p(y). Find the third derivative of d(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174686 times 3855\nAnswer: 673414530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 100. Let f(a) = -a + 33. Give -6*d(c) + 17*f(c).\nAnswer: c - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, z: 1, k: 1, e: 1, f: 1, a: 1}. What is prob of sequence wek?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, m: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 59256997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2495*l - 128016 = 2423*l. What is the remainder when l is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Suppose -l*k - k + 4 = 2*h, 2*h - 3*k - 36 = 0. Suppose -76 = -3*v + 2*q, 2*v + 4*q + h = 36. Calculate the lowest common multiple of 12 and v.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 2*w + 1. Suppose 2*m + 12 = 2. Let a be o(m). Suppose -i - i = -a. Solve v = -v - i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 13*z - 16. Let c be o(11). Suppose s + s - c = 0. Suppose -3*p - j = -12, -s*p + 2*j - j = -18. Solve d = -2 + p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 9790*k + 4792205.\nAnswer: 5*(k - 979)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -4 + (-3 + 4 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/6 - 889*j\/6 - 443 = 0 for j.\nAnswer: -886, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 - 2*y + 2. Let j be u(3). Let q(o) = -o**2 - 4*o + 4. Let s be q(j). Let a(n) = -n - 5 - 4 + s. Determine a(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -889893 (base 12) to base 6.\nAnswer: -114325503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -4. Solve 0*r = 2*r + k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**17*(i\/i**5)**15 assuming i is positive.\nAnswer: i**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91401307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6\/11 (b) -114 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0*b*b)**(-34)*(b\/(b*(b**(-1\/4)*b)\/b*b)*b)**(-7) assuming b is positive.\nAnswer: b**(-279\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 3*f - 367 + 379, -44 = 5*n - 11*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68 + -7?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -18. Suppose 2*a + 3*j = -4 - d, 0 = a + j + 7. Sort a, -2, -2\/11 in decreasing order.\nAnswer: -2\/11, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -21. Let c be (-38)\/(-10) - 2\/j. Suppose 0*y = -y + 5*o - 19, 4*y = 5*o - 16. Solve c*g - 5*g = y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/8)\/a**(-1))\/((a*a**11)\/(a*a*a**(-1\/6))) assuming a is positive.\nAnswer: a**(-223\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {h: 9, u: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -553670784*l**3 + 1130748135*l?\nAnswer: -3322024704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 10*u - 7. Let m(w) = w - 1. Let f = 573 - 577. What is f*i(d) + 28*m(d)?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29180?\nAnswer: 2, 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160083 or -442?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 70. Let r = -24 + t. Suppose -78 = -r*b + 3*b. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5226 or -635?\nAnswer: 0.5226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 23*k = -576. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.01 (b) -2\/7 (c) 5\/4 (d) -212 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.67 - 0.344. Let d = -3.7 + 3.844. Let v = d + b. What is v rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c + 150. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195 + 195.000515. What is f rounded to five dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9983 + 5822. Let v be 1\/(-5) + k\/(-12780). Let x = v - 3\/71. Which is the third smallest value? (a) 0.3 (b) x (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 44.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12195 = 914*h - 101*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 13*d**6\/30 - 7*d**4\/4 - 3*d. Find the third derivative of z(c) wrt c.\nAnswer: 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: How many minutes are there between 9:22 PM and 7:07 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-15 - (-22 - -7)) + 143\/(-534) and -23\/712?\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Suppose l = 4*f - l - 94, -104 = -g*f + 4*l. Suppose x = 3*c + f, 5*x - 3 = 4*c + 146. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 17, q: 1}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 + -86. Solve -6*r - u + 13 = -r, -w*u + 12 = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2. Let h(m) = -m + 5. Let j(z) = 3*h(z) + 7*k(z). Let w be j(-1). Solve 9*i - w*i + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of x**3\/3 + 5*x**2\/2 - 5*x + 132. Suppose 5*o - 3*b + 18 = 0, o - 3*b = b + 10. Let m be s(o). Let v(w) = 3*w + 1. Give v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19298 + 5?\nAnswer: -19293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-4*8380\/8)\/(-1). Let b = c + 6733. Is b\/14 + 20\/(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 1. Suppose 20*a - 66 = 9*a. Determine j(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and 459735 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 4, a: 2}. Give prob of sequence ly.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/5)*f*f*f)\/f**(-8)*f**(-19)*f*f\/f**(-1\/16) assuming f is positive.\nAnswer: f**(-347\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*l + 81 = 0, 2*t - l - 52 = 9. Let x = -29 + t. Solve -2*z + 13 = x*f, 7*f = 2*f + 2*z - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 19. Suppose m = -5*o - 2. Let w = -19\/6 - -8\/3. Which is the third smallest value? (a) w (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o**2 - 3*o - 3. Suppose f = 2 + 3. What is s(f)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.79*4771.\nAnswer: -13311.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (8 + -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*s = -0*k + 93, -4*s + 122 = 3*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-762)\/(-254))\/(3*1\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 539780 and 107956?\nAnswer: 539780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490 = -4*p - j, 0 = -2*j + 4 - 8. Let v = p - 60. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 830, 1967, 3562, 5615, 8126?\nAnswer: 11095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 7*u + 3. Let n be r(3). Let p(t) = 1 + 1 - 3*t + 4. Let q(b) = -1. Let k(y) = -7*y + 17. Let m(d) = k(d) + 4*q(d). What is n*p(v) + 4*m(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9215.96 - 9216. Let m = 36 + -37. Which is the smallest value? (a) m (b) 0.04 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffkkk. Give prob of picking 2 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 285?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/((-220)\/(-32)) + 1\/1. Let i = -0.5 + 0.5. Put 3, n, i in decreasing order.\nAnswer: 3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 3*x - 6, 20*x = 4*d + 18*x - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:54 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-7) + (12 - 11)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -8*r - 18. Let l(o) = -7*o - 9. Calculate the lowest common multiple of 3 and l(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13051 + 2?\nAnswer: -13049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 14*d + 17. Let i(p) = p**2 + 7*p - 8. Let a(s) = -13*i(s) - 6*j(s). What are the prime factors of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1330, 5868, 13432, 24022, 37638, 54280?\nAnswer: 73948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268559008 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -1 - 7. Let z(s) = -5*s - 1 - 2*s**2 + 3*s**2 + 0*s**2. What is z(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/60 - w**5\/15 + w**4\/6 + w**3\/2 + 1419*w**2. Determine q(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1347*f**3 - 2177*f**3 - f**2 + 3531*f**3.\nAnswer: 7*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -615*t + 618 + 1842. Let 18\/23*u**t + 88\/23*u**2 + 0 + 60\/23*u**3 + 2\/23*u**5 + 48\/23*u = 0. Calculate u.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416517 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -21, 2\/3, -67?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-68)\/(-8) + (-1)\/2. Calculate the greatest common divisor of 40 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7.5 (b) -314 (c) -4\/5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -3, 37, 101, 189, 301, 437?\n\"Answer: 12*u**2 - 20*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4779*j**3 + 80*j**2 + 9*j - 2. Let u(l) = 2731*l**3 + 45*l**2 + 5*l - 1. Give -9*b(r) + 16*u(r).\nAnswer: 685*r**3 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 7*l**2 + 5*l + 2. What is the least common multiple of 2 and n(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + -3)*-2)**2 + -4 + -2)*6.\nAnswer: -144*sqrt(2) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -27. Suppose -5*p = -3*p - 5*u + h, -13 = -p - 2*u. Suppose -p*q + 2*q = -5. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 314690 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178376962 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 669 divided by -2.\nAnswer: -669\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:55 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2+0.0139\nAnswer: 2.0139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-9))\/(14\/(-21))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 4*k - 5*c - 122, -353 = -3*k - 2*c. What is the highest common divisor of k and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 9*h**2. Suppose -4*q + 2*q + 28 = 2*y, -y + 29 = 4*q. Let i be u(y). Suppose 2*v - 3*m = 9 + 3, i = 5*v - 5*m - 25. Sort 2, 4, v.\nAnswer: 2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0\/2)\/1. Let h(l) = 2*l**2 + t*l - 2 + 0 + 1 - 3*l. Give h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1875980 and 9700?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1a62 (base 11) to base 13\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116399689*d + 49291490?\nAnswer: 116399689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 409349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 980*c**3*q**2 + 1834*c*q**2 - 932*q**2 + 1434*q wrt c.\nAnswer: 2940*c**2*q**2 + 1834*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1415731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203 + 205. Let d(x) be the second derivative of 0 + 1\/6*x**5 + 0*x**3 - 7\/45*x**6 + 0*x**v - 4*x + 1\/9*x**4. Factor d(k).\nAnswer: -2*k**2*(k - 1)*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*p + 19. Let u = 14 + p. What is the third derivative of 2*x**2 - 5*x**4 + 3*x**4 - u + 6 wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 77?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -15. Let x(r) = 3*r**3 + r**2 + r. Let l be x(2). Suppose 5*s + 0*s = l. Calculate the lowest common multiple of s and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 - (8 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 342*m**3 - 342*m**2 - 7. Let c(b) = -11*b**2 + 2. Let n(l) = 3*c(l) + o(l). Find the third derivative of n(p) wrt p.\nAnswer: 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 4\/5 (b) 9.5 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7791 + 7791.00007578. Round h to six dps.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:07 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let w(d) = 3*d + 5. Let i(b) = -3*p(b) - w(b). Let r be i(-5). Calculate the greatest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -64 - 7 - 72 - (0 + -88)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6 + 15\/6. Let x(c) be the first derivative of 0*c**3 - p - 1\/5*c**5 + 1\/4*c**4 + 0*c**2 + 0*c. Factor x(v).\nAnswer: -v**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -5, 0.4, -3\/2, 5, 1\/2, 5.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/7, -1.28, -34, 8 in descending order.\nAnswer: 8, -2\/7, -1.28, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + -1 + -2.\nAnswer: -3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-1400)\/(-420))\/(5*53).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 12031.\nAnswer: -12031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 8, 0 = -5*b + 6*c - 3*c + 29. Suppose b*p - 46 = 31. Suppose 3*x = y - 7 + 45, 5*x = -5*y + 30. What is the highest common divisor of p and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1510 = 10*m. Suppose -11*y = -12*y - m. Round y to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 87.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.19 + 0.21. Which is the nearest to 1? (a) -3 (b) 12 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 5*u + 72 + 35.\nAnswer: -5*u + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 1 - 3)*(-5 + 3 + 3) + 5 - 3 + 0)*(3*s - 4*s - 2*s)*((4 + 3 - 5)*(1 - 2 - 1) + (-2 - 4 + 0)*(-3 - 1 + 8)) in the form a + z*s and give z.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/536608 and 121\/80.\nAnswer: 2683040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:39 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - o, 2*o - 3 - 3 = 0. Find the second derivative of g + 41*y + 37*y**5 - 34*y + 0 wrt y.\nAnswer: 740*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*r + 31 = 0, 4*k = -0*r - 3*r + 40. Calculate the greatest common divisor of 52 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*s - 5*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*p**3 + 45*p**2 + 96*p + 36.\nAnswer: -3*(p - 3)*(3*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -794 - -801. What is the second biggest value in y, 22\/7, 0.6?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -23. Suppose -5*u + 4*r + 70 = 0, 0 = g*u + r - 24 - 32. Let j(o) = -14*o - 3*o**2 + 2*o**2 + u*o. Let m(p) = 5*p. What is m(j(y))?\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 71*c + 2. Let n(u) = 60*u**2. Give i(n(v)).\nAnswer: 4260*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*k + 307*k - 7128 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v + 7. Suppose -10*z + 5*z - 3*m = 45, 36 = -4*z + 2*m. Let k = 3 + 1. Let u(f) = 2*f + 3. Give k*x(q) + z*u(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-688)\/(-4) + 9\/63*7. Solve -26*g - 9 = r for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 19.61. Sort 2, u, 5 in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 5\/3 (c) 3\/5 (d) 30 (e) -2\/91\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - v - 1. Let a be u(-1). Let f be ((-6)\/a - 0) + 5. Suppose -f = 3*b - 1. Which is bigger: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2765 and 34\/18450845.\nAnswer: 18450845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-22)\/(-14) - (-81)\/(-189)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3348670385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95*r + 95*r - 39*r)*(-2*r - 2*r**2 + 2*r) + 47*r - 48*r - 5*r**3 + 5*r**2 + r**3.\nAnswer: -306*r**3 + 5*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 553555579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {f: 1, e: 1, q: 1, j: 3, h: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14561469*q**2*w**2 - 13*q*w**2 + 1689*q*w - 2*q - 2*w**2 wrt q.\nAnswer: -29122938*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**18)\/(a\/a**(6\/11)))**(-11) assuming a is positive.\nAnswer: a**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16\/121 - -1006\/121. Which is smaller: 9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*c + 239 = 320*c + 1949 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/23033475 and 109\/275850.\nAnswer: 46066950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52277 is divided by 2551.\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -47960 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpffnfnnfnffnnnp. Give prob of sequence fnpf.\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -263474 and -2?\nAnswer: 526948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/4, -0.03, 3607 in decreasing order.\nAnswer: 3607, -0.03, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 9*p**2 + 9*p - 7. Let o be f(-10). Suppose -2*q + 11 = -o. Calculate the remainder when 39 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**2 - 16482*i - 4120.\nAnswer: -2*(i + 2060)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 90 = m - z, -z - 5*z - 124 = -2*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011 (base 2) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.186438 + -0.42014.\nAnswer: -0.606578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 597, 949, 1301, 1653, 2005, 2357?\n\"Answer: 352*r + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 314, 1, 61, 3, 14, 4 in descending order.\nAnswer: 314, 61, 14, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**2 - 31270300*x + 31270299 = 0.\nAnswer: 1, 31270299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/13 - 160*x\/13 - 3200\/13 = 0. What is x?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + (2 - 0) + 0. Let h(k) = -k**3 - 4*k**2 + 4*k + 6. Calculate the remainder when (-8 + 0)\/((-1)\/4) is divided by h(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 11*z + 9. What is y(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/(((-224)\/(-140))\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23404525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n + n**3 + (-4 + 2*n**2 + 4)*(4*n - 4*n - n) - 5*n**3 + 3*n**3 + n**3 + n**3 - 14 + 14.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 f when three letters picked without replacement from {z: 1, f: 1, g: 3, q: 6, o: 2}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 4. Let w(m) = 1. Let i(d) = -d**3 - 8*d**2 - 4*d - 28. Suppose 4*u + v + 34 = 0, -2*v + 36 = 3*u - 8*u. Let t be i(u). What is t*w(j) - h(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 16. Suppose b + 4 = -3*i, 7 = 4*b + 5*i - 5. Let n = 8 - b. List the prime factors of d(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89860 is divided by 376.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + 8. Suppose -2*k = -5*l - 24, -3*k + 42 = -5*l - p*k. Is ((-3)\/l)\/(1\/68) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.27110912 to two decimal places.\nAnswer: -12.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/13)*q**(-1\/3)*q\/((q*(q**(-8)\/q*q)\/q)\/q)*q\/(q\/q**(1\/3))*((q*q\/q**3)\/q*q*q**(1\/5)*q)\/((q**(-3)\/q)\/q*q*q*q*q**(-7)\/q) assuming q is positive.\nAnswer: q**(1318\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 + 67. Let j be (0 - (-6)\/(-21)) + (-46)\/u. Solve 0 = 4*l + p + 2*p - 5, j*l - 4*p = -15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**4\/4 - h**3 - h**2 + 16. Determine g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 620 + -618. Let k = 4 - -2. Let p = k + 2. Solve 5*f + t + p = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*k + 158 - 117 - 133 in the form q*k + g and give g.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (1180\/(-30))\/((10\/4569)\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3695850 divided by 191?\nAnswer: -19350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/10, 0.11, 3142 in descending order.\nAnswer: 3142, 3, 3\/10, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5 - 2*t**2 + t**2 + 20*t - 16*t. Let s = -1 - -6. What is d(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 13*y**2 - 9*y - 1. Let i be l(12). Let w be (5\/(-25))\/((-4)\/i)*12. Solve w = -3*g - 2*o, 2*g + 3*o + 22 = -o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:07 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8352)\/(-27))\/(2\/3). Let n = p + -459. Solve -5*r - n = 5*y, -3*y + 13 = 3*r - 4*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 369 and 1353.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -5 - -5) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(3*sqrt(27)\/sqrt(3)) - (1 + sqrt(36)\/(sqrt(36)\/sqrt(3))).\nAnswer: -2*sqrt(3)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -47.5 and -3.\nAnswer: 142.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/824 and -5\/1236.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220313320 (base 4) to base 16.\nAnswer: -28df8","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**0)**(3\/2) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 10. Suppose 12 = 4*k + 4*u, 2*k + 12 = -12*u + 16*u. Suppose 2*a - 3*a - 23 = -5*t, -4*a - 2*t - 26 = k. Determine d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 3\/2*c**3 + 1\/60*c**5 + 0*c + 0*c**4 + 28*c**2 + 0. Is d(11) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 5 - (3 - 3). Let i(s) = s**2 + 11*s + 14. Let h be i(-10). Suppose -h*o - 8 = 5*q, -4*q + 3*o = 2*o - 2. Solve 6*t - a*t + 3 = q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83860.\nAnswer: 2, 5, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 3)*-1 + 3. Let r be o + -1 + 1 - -10. Let k(p) = -p**3 + 8*p**2 - 7*p + 4. Calculate the remainder when 8 is divided by k(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -284, -271, -250, -221, -184, -139?\n\"Answer: 4*b**2 + b - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 12 + 4 + (-999)\/45.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 1)*(-4*c - 4 + 4) - 10 + 10 + 11*c + (5 - 1 - 2)*(-1 + 1 + c) to f*c + r and give f.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9.8 * -10275\nAnswer: 100695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -198667 - 57\nAnswer: -198724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**7\/14 + w**3\/2 + w + 1. Let m(l) be the first derivative of h(l). Find the second derivative of m(g) wrt g.\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-4)*119\/(-14). Let b = -13 + t. Solve 5*x = -3*k - 2, b*k + 5 = -4*x - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/13)\/i**(-3\/23)*(i*i\/(i**5\/i))**(1\/4) assuming i is positive.\nAnswer: i**(-83\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 + 2*r + 2. Let f be u(-2). Let w = 4 + f. Calculate the smallest common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10312312233 (base 4) to base 9\nAnswer: 2350526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cct when three letters picked without replacement from ctttttctctttttcctc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51627?\nAnswer: 3, 17209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**2 + 6 - 2\/3*m**3 + m - 17*m**4. Is t(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 167652561 and 279804?\nAnswer: 9993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, 74340, 0?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-4)\/(-2))\/12\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*n**4 + 26*n**4 + 223*n**4 + (-n + 2*n - 4*n)*(-n**3 + 2*n**3 - 2*n**3).\nAnswer: 219*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426028182*i**2 - 4*i + 426028182*i**2 + 22*i**3.\nAnswer: 22*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-2))\/(105\/30*-2).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842422994?\nAnswer: 2, 7, 8596153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4618991.\nAnswer: 13, 355307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 3*l - 1. Let x(z) = -2*z + 4. Let b be x(2). Suppose b = -2*y + 7 - 9. Calculate the smallest common multiple of 8 and c(y).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/20*12\/50\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12590*n**2 - 25061*n**2 + 12470*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 m when three letters picked without replacement from fnhnmff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146 and 10093?\nAnswer: -1473578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4 = 8, -5*b - 2*j + 27 = 0. Let d(n) = -n + 11. Let f be d(9). What is x in 2*x**3 + 7*x**3 + 3*x**f - 9*x**5 - 3*x**4 + 6*x**b - 6*x = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215 - 4*a**2 - 28438*a - 242 + 28438*a + 2755 to p + r*a + d*a**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:33 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**15)**31 assuming k is positive.\nAnswer: k**496","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -85, -104, -117?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1789, -7126, -16001, -28402, -44317, -63734?\n\"Answer: 2*j**3 - 1781*j**2 - 8*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from lcclxxclllhhlhl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 118.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) + sqrt(162)*1)\/sqrt(9)*-1)\/(5*(sqrt(6) + sqrt(42)\/sqrt(28))))**2.\nAnswer: 16\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -101 + 4?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14260651\/20 bigger than -713033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0 + 0*k**3 + k + 1\/24*k**4 + 1\/40*k**5 - 3\/2*k**2. Let d(a) be the first derivative of l(a). Let d(q) = 0. What is q?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5383 - 936.5354\nAnswer: -6319.5354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/4, -2, 10 in descending order.\nAnswer: 10, 6, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1190958 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 532, 704, 888, 1090, 1316, 1572?\nAnswer: 1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.3. Let y = 301 - 303. Let i = 2.4 + -2. Which is the closest to t? (a) i (b) y (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 669 and 2.828?\nAnswer: 1891.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.24 + 0.24. Put -0.4, 4, d in decreasing order.\nAnswer: 4, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -5, 43, 5, -752 in decreasing order.\nAnswer: 43, 5, 2, -1, -5, -752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1965, 5, 568.\nAnswer: -1965, 5, 568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*r**5 + 3*r**4 + r**2 - 87*r.\nAnswer: -480*r**2 + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 761671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -20. Let n = 5 + d. Suppose 5*a = w - 2*w + 342, n = -5*w - 4*a + 1605. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**3 + 12*u**2 + 8*u - 13. Let h be w(2). What is the closest to 9 in h, -1\/12, -4\/7, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.38955 to two dps.\nAnswer: 2.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**2)\/n)**22*n**(-2\/25)*(n*n**16)\/n assuming n is positive.\nAnswer: n**(-702\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - -0.47. Let v = 14.2 + -14. Which is the closest to -0.1? (a) -0.3 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96945422.\nAnswer: 2, 7, 989239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12420)\/(-828))\/(10\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 12*z**3 + 4*z**2 + 8*z - 72. Let v(u) = 14*u**3 + 6*u**2 + 12*u - 73. Calculate -3*b(o) + 2*v(o).\nAnswer: -8*o**3 + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 105, 124, 141, 156, 169?\n\"Answer: -w**2 + 22*w + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 20. Let w be j(12). Let p = w + 9. Let u be (-4)\/(-2)*(3 - p). Solve u*t - 16 = 3*c, -3*c - 5*t - 6 - 1 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p + 4. Let u be 1\/((-14)\/4) + (-568)\/(-28). Suppose -2*w - 2*w + u = 0. Sort -5, p, w in ascending order.\nAnswer: -5, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 12*h + 9. Let a be l(-13). Suppose s + 3*s - 40 = -5*y, 2*s + a = y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 96 + 2*t**3 - t**3 - 98 + (2*t**2 - 5*t**2 - 3*t**2)*(3*t - 3*t - 2*t).\nAnswer: 13*t**3 - 4*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -963, -2657, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 93*z + 207. Calculate b(-3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/7 - 37*h**2\/7 - h\/7 + 37\/7.\nAnswer: (h - 37)*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 39. Suppose -r + 0*r = 3*b + n, 0 = 2*b + 4*r. Let h(s) = -s**3 - 3*s**2 - s + 4. What is the lowest common multiple of h(b) and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q**2 - 36*q + 20 = 0.\nAnswer: 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -10?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {c: 4, s: 3, i: 1, p: 1, a: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/3)\/(-3))\/((-70)\/63*3)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 76\/10 - 2\/(-5). Let r(d) = d - 4. Let w(o) = o + 7. Let c(t) = -4. Let l(n) = 5*c(n) + 2*w(n). Calculate k*r(s) - 5*l(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5242 is divided by 5239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/18*3*2. Solve 0 = -4*k + 16, 6*a = 2*a - r*k + 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1056, -3568, -7756, -13620, -21160?\n\"Answer: -838*h**2 + 2*h - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b - 58. Give g(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 24*v - 42. Let u(q) = 2*q**3 - 14*q**2 - 14*q - 3. Let l be u(8). Let o be m(l). What is the highest common factor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 3 + 1. Let z(r) be the first derivative of -13*r**2\/2 + 1. Is 12 a factor of z(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*(-2 + 6*(-5*(-3 + sqrt(99)) + 4)))**2.\nAnswer: -406576 + 80640*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000251965 rounded to 7 decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 48 = 99. Let r = -212 - -300. Let g = r + j. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/4 of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.201 and 4.571.\nAnswer: 3.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**3 - 6*f**2 + 2*f - 1. Let i(h) = 5*h**3 - 6*h**2 + 3*h - 2. Let n(p) = 4*b(p) - 5*i(p). Let z be n(5). Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56266762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3553, -3, 2, 1 in decreasing order.\nAnswer: 3553, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w = 16*w - 37940000. Round w to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 87, 165, 243?\n\"Answer: 78*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 4*o - h + 4 = 0, 3*o - 32 = 5*h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/4 - 7*t**4\/12 + 3*t. Find the third derivative of d(y) wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 + -6 - 4425\/633. Which is bigger: h or 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-142 - -70) + 111 - -36\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*m**5 + 9949*m**4\/7 + 135913*m**3\/7 - 278878*m**2\/7 - 66340*m\/7 - 3672\/7 = 0. What is m?\nAnswer: -34, -27, -1\/8, -2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*f + 205 = 0, 3*f - 30 - 71 = -w. Suppose w = 5*c + 5*v, -c + 6 = -5*v - 28. Calculate the least common multiple of c and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 146 + -126. Solve 4*y = -y - b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 3)**2 + -3.\nAnswer: 12*sqrt(17) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 44 = 216. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 + 17*l - 66. Is k(-14) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32604887 or 3?\nAnswer: -32604887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 14. Suppose f*n - 122 = 130. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 5, x: 3, c: 6, t: 1, f: 1, y: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -613*u**3\/3 - 1018*u**2 - 3*u - 3390. What is the second derivative of f(b) wrt b?\nAnswer: -1226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2850 divided by 10?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/156 - 77\/(-252)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c514 - -408c?\nAnswer: 135a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33754 by 2411.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -81415.\nAnswer: -81412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4\/15 + 14*k**3\/15 - 4*k**2\/15 - 56*k\/15 + 16\/5 = 0.\nAnswer: -2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.63068 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by ((-1)\/(-4)*15)\/(6\/64)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.07 * -150816\nAnswer: -764637.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 158.0815 to zero decimal places.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*(1 - 39\/21). Suppose -3*c = -y*c. Suppose c = -0*s - s + 22. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 3*g. Let h be (((-84)\/18)\/7)\/((-2)\/(-3)). Let s be (6 + -1 + -5)*h + -2. What is b(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, f: 1, k: 4, s: 1}. Give prob of picking 2 k and 2 x.\nAnswer: 33\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 12 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -7638?\nAnswer: 7642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4769625 and 19320?\nAnswer: 38157000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p - 24*p + 20*p)*(p - p + p) + (3 - 9 - 2)*(4*p**2 - 4*p + p + p).\nAnswer: -19*p**2 + 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1608776365 to the nearest integer?\nAnswer: 40110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 26\/5 of a microsecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 462613726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/92 and 21\/460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 294\/1617 + (-216)\/(-22)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 16) in base 4?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -3*q**4\/8 - 11*q**3 + 2325*q**2\/4 + 26250*q + 3290. Solve l(y) = 0.\nAnswer: -25, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -13*k**2 - k + 5. Let r be w(-1). Calculate the remainder when 49 is divided by 172\/10 - 5\/r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8192, -32866, -73990, -131564?\nAnswer: -205588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -90305\/4 - -22575. Let c = -2.1 - -0.1. What is the third smallest value in -2\/13, c, f?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -656 (base 11) to base 2\nAnswer: -1100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/(-1178) - 286\/372. Put -3, 1.5, j in ascending order.\nAnswer: -3, j, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1063*v + k = -1058*v - 3, 0 = v + 6*k - 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*i + 4*q, -20*q + 3 = -2*i - 15*q for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -0.4, 5, 1\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, 3\/8, -1432\/101, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-1)\/(-2)*1425 + (-4)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324 and 9477162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1\/4, -7, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 - y - 7. Calculate the remainder when f(-5) is divided by 20 - 11 - (-5 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) -2\/13 (c) -12 (d) -112\/3 (e) 23 (f) -5 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1332, 2656, 3978, 5304, 6640?\n\"Answer: c**3 - 7*c**2 + 1338*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 29*y = 31*y - 5, 3*p - 5*y = -29 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1587*v - 1589*v - 1276*v**2 + 6362*v - 1589*v - 1597*v + 1268*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.132. Let f = 97.932 - x. Let q = -97.37 + f. What is q rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74402317 to the power of 1\/2, to the nearest integer?\nAnswer: 8626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 485, 1, 2, -1, 8, -2 in increasing order.\nAnswer: -2, -1, 1, 2, 8, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.57 - 8353.08.\nAnswer: -8352.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) + 15\/2. Let s(t) = -19*t - 1. Let g be s(-4). Let h = -50 + g. Solve -k*v + h = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-119)\/(-315) + 4\/18. Is 0 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 + 0 = 0. Let z be (j\/(-1))\/((-5)\/50). What are the prime factors of (-3 - 0)*z\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 29, 110, 265, 518?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 3*w + 0*w)*(-3*w**2 + 8*w**2 + w**2) + (-2 + 2 + w)*(2*w**2 - 4*w**2 - 34*w**2) as c*w**3 + k*w**2 + p*w + b and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 9.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a (base 13) to base 4.\nAnswer: -3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -643 and -70410487.\nAnswer: -70411130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**29)**42 assuming h is positive.\nAnswer: h**812","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30939 - -15186. List the prime factors of h.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v - 23407 + 2*v**4 - 7*v**2 + 3*v**2 + 21*v**3 + 23405 - v to l + o*v**3 + g*v + n*v**2 + s*v**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 3*w - p, -64 = -2*w - 0*w - p. Calculate the remainder when w is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 466141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 604321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, f: 5}. What is prob of sequence ffrf?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -327, -644, -949, -1242?\n\"Answer: 6*p**2 - 335*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11198 (base 13) to base 12.\nAnswer: -15b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 65 = -9*q + 13*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6683 is divided by 293?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6096 = 5*r - 3*g, 3*r - 17*g + 15*g - 3658 = 0. Is 1217 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*m - 5*c + 28, -3*c + 2 = m. Calculate the remainder when (0 + 95)*6\/15 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 43 + 86. Suppose k = 4*f - 0*b + 3*b, 2*f + 3*b - 17 = 0. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*w + 26, -3*u - 6*w = -2*w + 22. Let v be 1*(-685)\/u*-2. Let z = v + 597. What is z rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/60 + x**4\/2 + 13*x**3\/6 - 10*x**2. Let p be h(13). Which is smaller: 1\/103 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 5 + -4 - 10 - (-1 + -8) - 7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 337166?\nAnswer: -1011498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s**3 + 23\/4*s**4 - 154 + 0*s**2 + 3\/5*s**5 - 3*s. Differentiate f(z) with respect to z.\nAnswer: 12*z**3 + 69*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 202, 198, 194?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1151, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdvddkdk. Give prob of sequence kdd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -13. Suppose 4*y + t*y = 24. Solve y*m - 2*m - 20 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 5*x**2 + 212*x - 1057. Let k be w(5). Sort 9, k, -224, -2.\nAnswer: -224, -2, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3141, 0, -3 in descending order.\nAnswer: 3141, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 47*s + 51*s = 32, s = -3*z + 8. Solve o - 4*r = z, 0*r + r - 13 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 7756 - 11608 = 0. Calculate the highest common divisor of 107 and g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 h when four letters picked without replacement from {h: 7, z: 9}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ychk when four letters picked without replacement from {v: 1, y: 1, h: 2, k: 2, c: 1, r: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n**2 + 8*n. Let m(x) = -9*x**2 + 7*x. Let h(z) = -6*k(z) + 7*m(z). Determine h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 5 + 6\/(-3). Suppose 0 = -q*r + 8*r - 56. What is the smallest common multiple of 2 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 4:38 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-141)\/11 + (-332)\/1826?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -27.2. Let t = z + 18. Let h = -6.247 + t. Round h to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/60)\/(6\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000008042162 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*r + 4*r. Which is the smallest value? (a) -0.4 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 + 5*o + 5. What is the tens digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/4204992 and -49\/175208.\nAnswer: 4204992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4253632 (base 11) to base 5\nAnswer: -3404030210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -815 - -814. What is the closest to 2\/11 in d, 4, -1\/4, -1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*d + 3*d. Suppose 2*f = z + 39, f + 4*z - d = -0*z. What is the lowest common multiple of f and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -408561*x**2 - 27373589*x - 134.\nAnswer: -(x + 67)*(408561*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Suppose -15 = -3*z - 2*z. What is the biggest value in 2\/9, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 18 = -4*n - 102, 5*n + 87 = -2*b. Calculate the common denominator of (60\/(-16))\/(5\/(150\/(-21))) and (34\/b - -2) + -1.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {b: 2, a: 1, f: 1, d: 4}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-98))\/(16\/14).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5398796071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 395 + -395. Let l(m) be the second derivative of s - m - 3\/2*m**2 - m**3. Calculate l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318366853 to the power of 1\/2, to the nearest integer?\nAnswer: 17843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 1.3, -0.1, -3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6360 - -2?\nAnswer: -6356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 128. Suppose m = -5*h + 7. Let o = -7.9 - -8. Which is the third smallest value? (a) o (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2571 is divided by 2554.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(6) + -1*(sqrt(7) + 0))*6)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 3*g + 4*g)*(-3*g + 4*g + 5*g) - 3 + 5 + 3*g**2 + 1 - g**2 + 4*g**2 - 2*g**2.\nAnswer: 10*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1392455 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7791 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 + 129 = -4*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -10 + 28 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)\/i)\/(i\/(i**(-9)\/i*i))*((i\/((((i\/((i\/(i\/(i\/(i**7*i)))*i)\/i*i))\/i)\/i)\/i))\/i)\/i**(2\/19) assuming i is positive.\nAnswer: i**(-439\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -95*w**4\/12 - w**2\/2 - w. Let i be f(-1). Is ((-6)\/(-4))\/((-9)\/i) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1074088, 1074086, 1074092, 1074112, 1074152, 1074218, 1074316, 1074452?\nAnswer: 1074632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*4\/(-4)*-10. Let t = 7 - b. Suppose 5*l = 2*l + t. Solve -1 - l = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8976*k + 4584*k = -4496*k + 1456 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 - 230. Which is the closest to x? (a) 5 (b) 1 (c) 10 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*r**2 + 184*r**2 + 87*r**2 - 195*r**2.\nAnswer: 123*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 5193*j + 5240*j + 3*j**2 - 13*j**2)*(-j**3 + 2*j**3 + 2*j**3).\nAnswer: -33*j**5 + 141*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b**3 + b**2 + 39*b - 40. Let a be k(1). Solve 124 = -a*v + 26 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5640 and 15579795.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + q - 27439, -3*s - 211*q = -209*q - 20583. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 139, 201, 255, 301, 339?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 49. Let n(f) = -5*f**2. Give s(n(y)).\nAnswer: -10*y**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 2)*3\/(-2). Let o be 42\/18 - (-2)\/w. Solve 1 + 8 = o*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-4\/11)*v))\/(v\/v**(2\/59)) assuming v is positive.\nAnswer: v**(-391\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13)\/v)\/v**8*v\/((v*((v\/(v*v\/(v\/v**(-2\/9)*v)))\/v)\/v*v*v)\/v)*v**(-5\/3) assuming v is positive.\nAnswer: v**(-1292\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34.14 + 37.14. Let j be (-1 - -3)\/((-4)\/(-2)). What is the third biggest value in j, p, 0.2, -3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 9 - 2 = 5*g, -5*g + 2*q = -12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 35*n - 193. Is 10 a factor of x(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 7*o - 13. Let v be u(-9). What is the greatest common factor of v and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 8*t - 10. Let v be n(-5). Solve 0 = -0*w + v*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let z(f) = f + 8193. Let x be z(v). Suppose -33193 + x = s. What is s rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97973784 less than -97973781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 270*c - 1571. Calculate s(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1332*q - 1508. What is the hundreds digit of i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -152689\/1115 + 76\/223. Let f = u + 137. Let 2\/5*x**5 + f*x**2 - 2\/5*x**3 - 2\/5*x**4 + 0 + 0*x = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 o when three letters picked without replacement from lyzooioo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 162525733 from -33.9.\nAnswer: -162525766.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0*t + 42 - 36 + t. Let r be z(2). Let y(g) = -g + 6*g - 22*g**2 + 4*g + 21*g**2 - 5. Determine y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 653104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/7)\/((-10)\/(-35)). Suppose -c*b + 5*b + 52 = 2*s, b = -2. Solve -5*u + s - 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 34?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 26 = -0*p + 4*q, 0 = 3*p - 4*q - 22. Let s be (-1 - p)\/((-1)\/3). Suppose -3*l + s = -24. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (3 - 3)\/(-2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 12. Suppose 5*r + 13 + 73 = 4*b, -n*r = -3*b + 65. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 271 + 1388?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66240 and 1825740.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -7 (b) 0.1 (c) -5 (d) -3\/2 (e) -0.05 (f) -0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 22*q**2 - 16*q - 44. Calculate the remainder when x(23) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 15. Let o = h - -3. Suppose -o*t + 118 = -3*k, 94 = 4*t - 4*k + 2*k. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212997, 425973, 638949, 851925, 1064901, 1277877?\nAnswer: 1490853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = 4*a + 26, 0 = 3*p - a - 24. Suppose 0 = -2*r + 2*y - 2, -3*r + 4 - p = -2*y. Let l be 1\/((-6)\/36)*r\/(-3). Sort 2, l, -3, -7.\nAnswer: -7, -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.8 (b) 0 (c) 2 (d) -3\/2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(72)\/sqrt(6) + -3 + sqrt(12) - sqrt(144)\/(-2*sqrt(12))))*-3)**2.\nAnswer: -630*sqrt(3) + 1116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(567) + (sqrt(567) - (sqrt(567) + 1 - sqrt(567)))*-6 + sqrt(567) - sqrt(567))**2*-6 + -4 + 3.\nAnswer: -85264 + 3240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 5. Let t(l) = -73832*l - 201360. Calculate -40272*a(r) + t(r).\nAnswer: 6712*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1 + sqrt(325) + (sqrt(65) + sqrt(65) + 1*sqrt(65))\/sqrt(5))**2 - (-2 + (sqrt(208) + -1 - sqrt(208))**2*-4).\nAnswer: 26*sqrt(13) + 2204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - d**2 + 2. Suppose 0 = 5*j + 4*p - 95, 3*p - 124 = -4*j - 47. Let u = j + -13. Suppose -w + 2 = c - 0, 5*w = 5*c + u. Determine n(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**4\/18 - 7*d**3\/9 - 8*d**2\/3 - 89*d - 220. Let s(x) be the first derivative of r(x). Factor s(h).\nAnswer: 2*(h - 8)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60726344 to the power of 1\/3, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v = -37*v + 12. Let y = -1.07 + 1. Which is the third smallest value? (a) v (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-20 + 41 - 24)*(-3 - 3 + 5)*(-1864 - 4*d + 1864 + (5*d - 4*d + d)*(-3 + 3 - 1)) to the form b*d + r and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -14*p**3 + 35*p**2 + 20*p + 41. Let r(c) = -5*c**3 + 12*c**2 + 7*c + 14. Let y(j) = 6*b(j) - 17*r(j). Let g be y(-6). Solve 6 = 4*h - g*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976901 > 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9578 divided by 2?\nAnswer: 4789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -329, -1102, -2307, -3938, -5989, -8454, -11327?\nAnswer: -14602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/418 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -40620779 at least as big as -40620779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 + 28*q**3 - 17*q**3 in the form d + j*q**2 + n*q + g*q**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/5 of a century?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.88 (b) -189 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8643834?\nAnswer: 2, 3, 229, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-39) + 10\/4*44\/2. Solve u = 10*w + 125 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/5 of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 311, 2645, 8979, 21287, 41543, 71721?\n\"Answer: 329*f**3 + 26*f**2 - 47*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -52*k**2 - 364*k - 4. Give l(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 5 = c. Let d = -32 + c. What is the greatest common factor of 5 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9 = j. Calculate the remainder when (-200)\/(-30)*6\/4 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -155*m**4 - 4*m**2 - 281*m + 4. Let q(v) = 464*v**4 + 11*v**2 + 843*v - 11. Let k(b) = 11*o(b) + 4*q(b). What is the second derivative of k(c) wrt c?\nAnswer: 1812*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-18) - (-2078236)\/159.\nAnswer: 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138226290 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2795 (b) -8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*g - 19, -2*b - 1 = -5. Let k(l) = -3*l + 2. Let v(y) = 12*y - 8. Suppose 8*o = 4*o - 2*f + 18, 0 = 5*o - 2*f. Calculate g*k(z) + o*v(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127053 - 23 - (1 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 8875 in descending order.\nAnswer: 8875, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(1 - 2\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6418807 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.2 + 5. Let w = m - -1.8. Let g be -3 + (-3)\/(-1) + 6 + 3. What is the third biggest value in w, g, -1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 - 3.4. Let q = -4 - -9. Let h = -448.9 - -449. What is the second smallest value in -2\/11, h, v, q?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-1 - -3 - 1)) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97918 and 2264.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11976595*o**3 + 5*o**2 - 264*o + 708 wrt o.\nAnswer: -71859570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(w + 2*w**5 - w) + 22201469*w**4 - 22201469*w**4 + 13151*w**5 + 1398*w**5.\nAnswer: 14551*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7230 - 7214 = -y - 2*m, -14 = 2*y - 5*m for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2087939, 4175885, 6263833, 8351783, 10439735?\nAnswer: 12527689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 32*r**2 + 15*r**2)*(-7*r**2 + 4*r**2 + 14*r**2) + (r + 0*r - 3*r)*(0*r**3 + 0*r**3 + r**3) + 3*r**4 + r**4 - r**4.\nAnswer: 485*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(7) - (sqrt(7) + sqrt(14)\/sqrt(2))) + (sqrt(28)\/sqrt(4) + 1)**2).\nAnswer: -66 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11657 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1.95.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1897 divided by -64?\nAnswer: -1897\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 = 2*w, -3*j - 5*w + 22 + 1 = 0. Solve -3*g - 3*p - p + 3 = 0, -g + 3*p = -j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24660750 divided by -62750?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*b**3*w + 8*b**2 + 9*b*w - 2*w wrt b.\nAnswer: 1410*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v + v + 2*v)*(-2 - 2 + 6)*(-46 + 96 - 44).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 5:00 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-2)*o)\/(o\/(o*o**(-5))))\/(o**3\/(o*o**(-9)*o)))**(-9\/13) assuming o is positive.\nAnswer: o**(99\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8977 and 213.\nAnswer: 1912101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 8\/(-12))*(-3)\/2. Suppose 0 = z*r - 4*r + 2340. Let o = 2471 + r. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 2, p: 8, o: 2}. What is prob of picking 1 o and 2 p?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/110 - 5*p**4\/132 - 2*p**3\/33 + 8*p**2. Find x such that a(x) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*i - 3, 4*f - 5*i + 145 - 108 = 0. Let s = 5 - 2. Which is the nearest to -0.1? (a) f (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.0672299ns in weeks?\nAnswer: 0.00000000000012081221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 - 10*i**2 - 3*i + 3. Let y(r) = -4*r**3 - 15*r**2 - 4*r + 4. Let o(z) = 7*c(z) - 5*y(z). Determine o(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1281398 and 4.\nAnswer: -5125592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2\/3 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-77))\/((-32)\/(-84)*-3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-21) + (-5)\/3. Let i be -1 + 0 - (-3)\/4. Is i at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/5)*a)**(-18)\/(a**(-20)*a*a**(-23)) assuming a is positive.\nAnswer: a**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 27 = -5*z, 26 = -2*z + 6*z - 3*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 6)*(-4*l**4 + 0*l**4 + 2*l**4) + 11*l - 11*l + l**4.\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 232*a**2 - 3*a. Let o be f(1). Suppose 2*t = -5*d - 230, -3*t - d - 116 = o. Is t*(1 + 8\/(-3 + -1)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*p - 25422 = 138*p. List the prime factors of p.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -60. What is the closest to 0 in 0.2, 0.03, n?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 76 = 8*i + 12*g, 4*i = i - 4*g - 46 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1615 and 1045?\nAnswer: 17765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2347658 and 41\/16?\nAnswer: 18781264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 51. Let -4 - 15*a + 0 - h*a**2 + 9 = 0. What is a?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y**4 + 4*y**3 + 11*y. Let r(g) = 12*g**4 + 5*g**3 + 10*g. Let o(q) = -5*c(q) + 4*r(q). Find the second derivative of o(w) wrt w.\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118032 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l - 2*l**2 + l**2 - 808 + 816. Let h be s(1). Which is the third smallest value? (a) 2 (b) -3 (c) h (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 20 = s. Let q be ((-2)\/(-4))\/(s\/10). Solve -4*a - 5 = -y - 4*y, 0 = 2*a + y - q for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.093 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 3*l = -l - 10*l + 37 + 53, -l + 3*l + 10 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1210 - 276 + 817)*(-n + 3*n - n).\nAnswer: 1751*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(6\/(-4)) + 11. Suppose 0 = 2*p + 4*z - 20, 5 + 10 = 5*z. Suppose -268*b + 181*b + 348 = 0. Solve b*l + l = m + s, -p*l = m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 9:03 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 4*k + 5. Let c = 10 + -15. Let x be r(c). Suppose -4*f - 12 = -40. Solve -x = -f*h + 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -283*j**2*k*u*w**2 + j**2*w + 3*j*k*u - u*w**2 + 230*w**2 wrt k.\nAnswer: -283*j**2*u*w**2 + 3*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*r = -87*r + 78. Calculate the greatest common divisor of 39 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 628 - 610 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -782*l + 9411. Calculate o(12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 30. What is the highest common divisor of 133 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -173995*v + 276. Let g(b) = 12428*b - 20. Determine 69*g(o) + 5*h(o).\nAnswer: -12443*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*x - 457 = 0, -1 = -x - 2. Let h = 112 - d. Which is bigger: 1\/87 or h?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2713102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070353600 rounded to the nearest one million?\nAnswer: 2070000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -190*w + 31*w + 26394. Calculate the remainder when 177 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41482 (base 12) to base 10.\nAnswer: -85346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8*n - 84. What is u(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -1. Let m be (-3)\/r*0 - -4. Suppose -k = -5*p - 39, 0 = -m*k + 2*p - 6*p + 84. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = 0, -a + 0*l + 217 = -5*l. Let s = 219 - a. Let n(k) = 3*k + 8. Give n(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2933775 and 128325.\nAnswer: 4425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 10. Let s = -0.6 - -0.1. Let x = -0.1 - s. Which is the second biggest value? (a) x (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.210175 - -24.31. Let k = -0.1 + u. Round k to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**3\/4 - 235*v**2\/4 + 660*v + 720 = 0.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1545 divided by -4\nAnswer: -1545\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-9 + 6)) + -1 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kokkokkkko. What is prob of picking 2 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (784\/5096 - (-2916)\/(-195))*(-5)\/(-8) - -8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lvkollolklloklkool?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149762, 149761, 149760, 149759?\nAnswer: 149758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.99 - -38.79. Which is the second biggest value? (a) f (b) -0.06 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 + 14)\/(2 + 10). Let h be -4*2\/((-8)\/(-3)). Let l = 2 + h. Which is smaller: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97851 and 51207.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 340392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -442\/3969 + 20\/147. Sort i, 1, -0.3, 0.2 in descending order.\nAnswer: 1, 0.2, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 4.93, 2, 5, -397?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005502 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*p**6 - 24 + 20 - 139*p**6 + 0*p**2 - 3*p**2 wrt p.\nAnswer: -14040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 2 + 6)\/2. Solve -3*u + q*z + 13 = z, 5*z = 5*u - 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8344 + 0.455. Round s to two decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 11790814*y.\nAnswer: -2*y*(y - 5895407)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-129)\/18 + (-3510)\/(-1620).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {b: 8, h: 7, q: 3}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1291347 and 1004381.\nAnswer: 9039429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1. Let o(k) = -k - 1. Let s(g) = 2*g + 1. Let h(t) = 3*o(t) + s(t). Let v(b) = 3*h(b) + 6*m(b). Let d(z) = z**2. Give d(v(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 24\/10*(-1)\/(4\/(-80))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:29 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*i**2 + 192*i**2 - 763*i**2 + 196*i**2 + 177*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 9*f + 8. Let h be r(7). Let d be (h\/8)\/(1\/(-4)). Suppose -x = -4 + d. Is x less than or equal to 8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 12*g**2 + 113*g + 2. Give u(-9).\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7117 >= 7118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -6. Let h = t + 7.7. What is the closest to h in 0, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1016084790, 1016084789, 1016084788?\n\"Answer: -j + 1016084791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3 + 2 - 6*j to w*j + u and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3820 = 3*d + 3816, 0 = -5*d + 4*j + 18 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Let c = -70 + 72. Is d + (44 - -3) + c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -0.07?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819428 is divided by 26430.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 70*t + 24. What is the units digit of a(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -14651636?\nAnswer: 14651660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 2\/15, -2\/5, -2\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -35480261 - 9583?\nAnswer: -35489844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5\/3, -0.11, -0.7, -2\/89, 1\/4, -2, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1722 = -300*g + 306*g. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = 4*z. Suppose -3*f = 3*j - z*f, 3*j = 3*f. Suppose 0 = -3*k - 2*h + 5 + 19, j = 3*k + 4*h - 30. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 1. Let h = 7 + -35. Let l = h + 42. What is the smallest common multiple of l and d(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v**2 + 6*v + 1. Let b(l) = -l**2 + 1. Let n(i) = -6*b(i) + s(i). Let u be n(-7). Solve 0 = u*q + z - 2, 3*q - 10 = q + z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 2. Let q be -6*2\/(-20)*5. Suppose 5*o + 5 + 8 = -4*w, 0 = -3*o - 5*w. Let k(g) = 9*g + 3. Give o*c(f) + q*k(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zse when three letters picked without replacement from {g: 2, w: 4, e: 2, z: 1, t: 1, s: 4}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 159*b**2 + 7*b + 8. Let t be c(-1). Suppose 8*i - t = 3*i. Suppose h - i = -3*h. Calculate the remainder when 34 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220402526 + -5?\nAnswer: -220402534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**6\/60 + 7*o**5\/6 - 430*o**3\/3 - 44*o**2. What is the derivative of n(u) wrt u?\nAnswer: -6*u**2 + 140*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 6 + h + (-2*h - 2*h + 2*h)*(1 + 1 - 1) - 3*h + 5*h - 5*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -403 in ascending order.\nAnswer: -403, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(1700) - (1*sqrt(1700) + 0) - (0 + 1 + sqrt(1088))) + -2))**2.\nAnswer: 1728*sqrt(17) + 39492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 2 + 2)*(-4 - 1 + 3) - 5*a + 91*a + 24*a to the form k*a + m and give k.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28\/11 in -2\/17, -0.3, -0.044?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91692, -183370, -275048, -366726, -458404?\nAnswer: -550082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/4 - 9165*l**2\/4 - 2117289*l + 4243745 = 0. Calculate l.\nAnswer: -8122, -1045, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1\/((-12)\/(-27)*(-6)\/(-40)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -156*g + 452. Give k(4).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 303, 203, 31, -213, -529?\n\"Answer: -36*o**2 + 8*o + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 185*r**2 - 5837945*r - 3155700.\nAnswer: 5*(r - 31557)*(37*r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 1.1, 5577?\nAnswer: 5577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*f**2 - 1 + 163*f - 163*f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 239*c - 201*c + 342 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 13*f = 35. Sort 2, -5, -2, f in increasing order.\nAnswer: -5, -2, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 154, 263, 400, 571, 782, 1039, 1348?\nAnswer: 1715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/1401521 or 0?\nAnswer: -18\/1401521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 4. Let s be t(5). Let u = 0 - -0.1. Suppose 3*p - 6 = y - 2*y, 15 = p - 4*y. What is the closest to s in 0, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(1700\/480))\/(-3) + (-191)\/(-115) + -3\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 40*l + 35*l - 30, -12 = 3*n + l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.04353 and -1.\nAnswer: -1.04353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**2 + 2*j - 9. Let v be i(-3). Solve -u + v = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -17*j - 1134. Let i = 310 + j. What are the prime factors of i?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 510 + -13765\/27. Let j = 27077\/27 + -1003. Let k = j - t. Is -2.7 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglggggglgggglg. Give prob of picking 4 g.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 7)*2\/4. Let t = c - 0. Suppose 0*v = -4*o - t*v - 291990, 5*v = 3*o + 219025. What is o rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -2 + -3 + sqrt(432))**2 + -1 + sqrt(48) + (sqrt(27)\/(sqrt(27)\/sqrt(3) + sqrt(9)))**2 + -1.\nAnswer: -236*sqrt(3) + 7007\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 6*k - k)*(1 - 2 - 1)*(2 - 2*k**2 + k**2 + 2*k**2).\nAnswer: -10*k**3 - 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75251235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 204228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 994 - 420. Calculate the remainder when h is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -4*w + 10, -24*w = 2*i - 21*w - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30970 is divided by 162?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 10. Suppose 3*q - 4 = 5*c + 15, 0 = 5*q + 5*c - 5. Let l(y) = y**2 - 6*y + 2. Let r be l(q). Let n be m(r). Solve 2*i + n + 0 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/32 and 87\/448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3771 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10041 + 21833. What are the prime factors of r?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 66883418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 9*v + 2. Let s(n) be the third derivative of -n**5\/60 + n**4\/6 - n**3\/6 + 11*n**2. What is -2*j(f) - 5*s(f)?\nAnswer: f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2588490 divided by -9587\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 0 - 21*d in the form i + b*d and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 9:39 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/11, 1, -135, 0.2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2. Let t(w) be the first derivative of -w**3\/3 + 26*w - 5807. Calculate t(k(u)).\nAnswer: -9*u**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 4*y - 59 - 2*y + 234 - 56 - 66.\nAnswer: -6*y + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 10:37 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41668950529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 6\/61, -0.1, 7, -0.08 in decreasing order.\nAnswer: 102, 7, 6\/61, -0.08, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 6804.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/386 and -13\/7.\nAnswer: 2702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 11) + 4 + -2. What are the prime factors of (6\/p)\/((-6)\/40)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**3*m*p**3 - 2*a**3*m + a**3*p**3 - 67533*a**2*m*p**2 - 2*a**2*p + 2*a*m*p + 76696*m*p**3 + 4*m*p wrt p?\nAnswer: 30*a**3*m + 6*a**3 + 460176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(3*q - 11 - 5*q + 12)*(-6*q + 5*q - 4*q).\nAnswer: 20*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.163 times 499\nAnswer: -81.337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.8658ml in litres?\nAnswer: 0.2838658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*l, -2*d + 2*l + 4 = -0*d. Suppose -5*x + 93 = -h, d = -h + 2. Suppose -4*z + t + 314 = -x, 4*t - 100 = -z. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 234?\nAnswer: -233.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + -1 - (-9 + 10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10275 + -174670\/17. Is y at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -262\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 + 3*a - 4. Let u(w) = 1. Suppose d + 2*x - 3 = 0, 2*x = 4 - 0. Calculate d*f(c) - 4*u(c).\nAnswer: 2*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + -11 + (-40 + 44 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5*h - 16, -g - 12 = 2*g - 3*h. What is the fourth biggest value in -1\/2, 2\/7, -2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnnf when four letters picked without replacement from {f: 3, n: 8}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -4\/7 (c) 2.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54949.\nAnswer: 54949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17001 - -17238. Calculate the remainder when j is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13855 and 6800?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (26 - 19 - 17)*(-2 + 2 + 2)*(-d - 3*d + 3*d - 5*d + 3*d + d + (5*d - 2*d - 4*d)*(0 - 3 + 2) + 0*d - 2*d + 4*d + 2*d + 2 - 2) as b*d + j and give b.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/7 - -1\/35. Which is the smallest value? (a) -0.3 (b) d (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7272820 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12348 and 4151049.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (14 - (17 - -25))*2910\/(-8)?\nAnswer: 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7274*s**3 + 13*s**2 + 45*s - 11. Is y(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxlhjxcjltccllt. Give prob of picking 1 h, 1 t, and 1 j.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -201405.\nAnswer: -201403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3 = 5*f, -4*n + 3*n = -5*f - 1 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/((-2*sqrt(9) - sqrt(9))*-6))\/(sqrt(486) - (sqrt(486) - -6*1*sqrt(486))) + 2 + 5.\nAnswer: -sqrt(3)\/972 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/21)\/((-5)\/105). Suppose 7*d + 127 = h*d. Let g be d\/(-195) + 2\/(-3). Is 0 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + n. Let j(p) = -3*p**4 + 6*p**3 + p**2 + 4*p. Suppose x + 1 = -2. Let y = -7 - x. Let w(k) = y*q(k) + j(k). Factor w(z).\nAnswer: -3*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g + 8. Let h be b(0). What are the prime factors of h\/52 - 282\/(-26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 1. Let m(s) = -7*s - 5. Let z(a) = -5*h(a) + m(a). What is the smallest common multiple of 12 and z(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9800\/2275)\/(28\/91).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**5\/12 - 5*v**4\/4 + 25*v**3\/6 - 5*v**2 + 37*v. Factor i(z).\nAnswer: 5*(z - 5)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*sqrt(102) - sqrt(102)) - (sqrt(102) + -3*1*sqrt(102) - sqrt(102) - sqrt(102)))\/(2*(sqrt(6)*-2 + sqrt(6))*6).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 + 28 = 4*n, r - n = 17. Suppose 3*j + 3 = 5*h, -17 = 2*h - 5*h - 2*j. Suppose h*m = -t + 13, -6 = -t - 5*m + r. Solve f - t = 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23527?\nAnswer: 7, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from bnbnbnnnnnn.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 28 = -5*r, -5*r - 20 = -c + 6*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 36. Let x be f(-16). Let p(h) = -2*h**2 + 42*h + 14. Let s be p(x). What is the highest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 2*g - 1. Let r be p(2). Put -3, 10, r in increasing order.\nAnswer: -3, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 163248*y**2 + 7668142*y - 7831392.\nAnswer: 2*(y - 1)*(y + 48)*(y + 81577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*10023.\nAnswer: 30069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2*z - 5*r + 59, 3*z = 5*r - 38. Let q be (-2)\/(-7) - (-6)\/z. Let n be 4*(2 + -1) + q. Solve 0 = h + h - n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 0 - (-3)\/(-1). Suppose 0 = h*v - 17 - 10. What is the greatest common divisor of 63 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.04 + 0.88. Let d = m - 1.72. Which is the nearest to d? (a) 7 (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppbpmppbmmpmmppbb. What is prob of sequence mmp?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let x be (-8)\/(-12)*q\/(-7). Suppose u + 0*u = -1. Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 446.463244 to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3870 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39459 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n. Let f(y) be the second derivative of -y**6\/180 + y**3\/3 - 25*y**2\/2 + y - 4. Let q(m) be the second derivative of f(m). Determine q(k(d)).\nAnswer: -162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222222020 - 0?\nAnswer: 11222222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + (0 + sqrt(832) + (sqrt(832)*1 - sqrt(832)))**2.\nAnswer: 8*sqrt(13) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1661789 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 - 54. What is the hundreds digit of a - -2 - (-149 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.68.\nAnswer: -0.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -18564107 equal to -55692317\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/514?\nAnswer: 9\/514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -11*a**6\/30 + 327*a**2\/2 - 430*a. Find the first derivative of b(j) wrt j.\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (39 - (80 - 11)) + 1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1053, 4048, 9071, 16116, 25177?\n\"Answer: -x**3 + 1020*x**2 - 58*x + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 30, 9518, -1, 0 in decreasing order.\nAnswer: 9518, 30, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 17. What is y(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*(-4)\/50*((50025\/(-138))\/145)\/1?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0 + 1\/15*s**6 + 25*s**2 + 0*s**4 + 0*s**3 - 1\/15*s**5 + 0*s - 2\/105*s**7. Factor j(n).\nAnswer: -4*n**2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p\/(p**(-3)\/p))*p)\/p)\/p)\/p**2)\/((((p*p**0*p*p*p)\/p)\/p*p*p)\/p*p**(-2)))\/((p**(2\/3)*p\/(p*p**0*p))\/(p**1\/p)**(-8)) assuming p is positive.\nAnswer: p**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 3. Let a = -34 + 52. Let v = a - z. What is the highest common factor of v and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -158, -2, 258, 622, 1090?\n\"Answer: 52*h**2 - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/43)\/r)\/r**(-5\/7))**(-1\/3))**(6\/19) assuming r is positive.\nAnswer: r**(200\/5719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*n + n. Let l(k) = 2*k + 12. Let r be l(-5). Let h = n - r. Solve -4 = -4*v + h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 15*h**2 + 41*h + 573. What is y(-11)?\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16891 less than 0.3?\nAnswer: 16891.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w**3 - 10*w**3 + 5 - 5*w**2 + 0*w**2 + 5*w. Let i be k(-6). Solve 0*m - 5*m + i = 3*j, 3*m + 3*j - 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 62*a**2 - 4103*a + 254397. Determine s(64).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v**3\/7 - 1619949*v**2\/7 + 109318406700*v\/7 + 3335718532143\/7.\nAnswer: 3*(v - 135011)**2*(2*v + 61)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 12, -z - r = 3*r + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*r + 5 - 0, 5*r + 4 = -f. Is 12 a factor of (32\/(-20))\/(f\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-146)\/8)\/((-52)\/16 + 3). Suppose 5*w = -h + 113. What is the greatest common factor of 20 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2417*p + 86*p - 1060*p.\nAnswer: -3391*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + -2*(0 + sqrt(475) + sqrt(475)) + (sqrt(475) - (-5 + 1*sqrt(475)))))**2.\nAnswer: -2880*sqrt(19) + 273744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.18, -1\/3, -2\/7 in descending order.\nAnswer: 4, -0.18, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2592*f + 1453*f = 19363 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 62 = 4*p, -64 - 6 = 4*p + d. Let s(l) = -5*l + 31. Is 34 a factor of s(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {l: 3, a: 1, w: 3, h: 1, g: 1, p: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2720 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-121))\/(2\/(-4)*-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, y: 1, h: 1, j: 5}. What is prob of picking 1 h and 2 l?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2990*y**4 - 3679*y?\nAnswer: 35880*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 543242061 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -13. Suppose w = -q - 2*q + 6. Suppose -q*v - 2*v = -144. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (65050\/(-75))\/((-16)\/13128) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qgqqqqqqqgqq.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178719\/92 or 1944?\nAnswer: 178719\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3894*l**3 - 360167*l**2\/7 + 75563*l\/7 + 78\/7 = 0. What is l?\nAnswer: -2\/1947, 3\/14, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**11)*p\/(p*p**(-1\/9)*p))**(-32)\/(((p**(3\/2)\/p)\/(p\/((((p**(2\/5)*p*p)\/p)\/p)\/p)*p))\/(((p**(-1)*p)\/p)\/p*p)**(2\/17)) assuming p is positive.\nAnswer: p**(585113\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**26*(d*d**(-18\/5))\/d*d)\/(d**(-21)*d*d*d\/(d\/(d*d**(-1)\/d*d*d))*d) assuming d is positive.\nAnswer: d**(207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25151 (base 8) to base 6.\nAnswer: 122133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:22 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58.3 - -61. Let j = -2.2 + q. Let p = j - -0.5. Which is the closest to 0.1? (a) p (b) -0.5 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -45*k**2 + 22*k. Let u(f) = -23*f**2 + 15*f. Determine 5*u(a) - 2*y(a).\nAnswer: -25*a**2 + 31*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 425 = -9*q + 13*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(10\/(-5)*22\/220)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 4)*(-2)\/(-22). Let f = 0.4 - 0.3. Which is the second biggest value? (a) -2 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.5166288 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*g - 655 - 135, 0 = 3*g + 2*f - 477. Let a = g - 159. Let l = -2 - -2. Solve a = 2*b - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337606702.\nAnswer: 2, 67, 2519453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/((-759)\/374) - (-2 + 5). Let x(m) be the first derivative of -5 - 15*m - 35\/2*m**2 - f*m**3 - 5\/4*m**4. Factor x(n).\nAnswer: -5*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 - (-10 + -131) - -127.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -176, -3, -6, 5, -5 in increasing order.\nAnswer: -176, -6, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 11:04 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*k**2 + 524*h*k*u**3 - 4*k**2 + 44*k*u**3 - 2*k*u + u**3 wrt h.\nAnswer: -2*k**2 + 524*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 86616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5970361.\nAnswer: 1871, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 2208*p - 609408.\nAnswer: -2*(p + 552)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -488 and 1.3.\nAnswer: -486.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.589392964056 + 4\nAnswer: 3.410607035944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4843 smaller than 44\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**11\/166320 - k**10\/37800 - k**9\/30240 - 4*k**5\/15 - 6*k**2. Let g(t) be the third derivative of z(t). Factor g(d).\nAnswer: -2*d**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1116 and 4464?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -23*j + 132. Calculate the remainder when 46 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48 - -3 - (18 - 15). Find z such that -69*z - 56*z - 24*z - 35*z**2 + n*z - 59*z - 80 = 0.\nAnswer: -4, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 3:01 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -17277 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvooeoiiioovweieo. Give prob of picking 1 o and 1 v.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-5)*(-416 - 1). Suppose -3*w - 3*m + d = 0, 4*m - 2*m = 10. List the prime factors of w.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j + 22. Let w be h(15). Let g = -64 - w. Suppose 0 = -5*u + 2*f, -u - f = -g*f + 13. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.36 + 1.6. Let j = -4.24 + o. What is the nearest to 2\/7 in j, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/140 and -117\/90244?\nAnswer: 451220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 - -47623?\nAnswer: 47658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.72 + 12. Let p = -0.08 + m. Which is the third smallest value? (a) -3 (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 9*p**2 - 10*p - 3. Let j be o(10). Calculate the remainder when (-3)\/45*j + 249\/5 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -154, -3 in descending order.\nAnswer: 2, -3, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:46 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**41*w\/(w\/((w*w**23)\/w)) assuming w is positive.\nAnswer: w**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/381186 and 161\/234.\nAnswer: 381186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -5*h, -5*y = -8*y + 4*h + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -266 + 185. Let p = a - -135. Suppose 0 = 5*w + 19 - p. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.2 >= -1726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38769 + 10520 - 240)*(-w**3 - w**3 - w**4 + 0*w**4).\nAnswer: -49049*w**4 - 98098*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47552 and 256?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -21*f**2. Let h(w) = 5312560*w. Give h(t(q)).\nAnswer: -111563760*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + -0.43. Let z(u) = u - 16. Let y be z(13). What is the closest to -1\/2 in 5, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378423.\nAnswer: 3, 19, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - -5. What is the remainder when 81 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/1 - (-28)\/7. Suppose -6*x + x = 6*x. Solve x = -s*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394 = -15*h + 484 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**3\/2 + 5*f**2 - 114217*f. Let a = 8 - 12. Give g(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06 and -45969985.\nAnswer: -45969984.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 12 + -4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 247 + 317 = 0. Let a(h) = -h**3 + 4*h**2 + 19*h + 2. Give a(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, c: 3, s: 1}. Give prob of picking 1 s and 3 f.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50060552?\nAnswer: 2, 2273, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 8 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/12)*l*l*l*l**(-9))\/(l**(-8)*l*l**24*l) assuming l is positive.\nAnswer: l**(-287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4253*s**3 + 15*s**2 - 5*s - 1436. Let t(a) = 2*a**3 - 3*a**2 + a + 1. Let i(z) = -5*t(z) - y(z). Differentiate i(r) with respect to r.\nAnswer: -12789*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 2 - (-2 + -17 + 14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.16296 rounded to two decimal places?\nAnswer: 92.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 875, 4, 0.5, 2\/5, -0.5.\nAnswer: -0.5, 2\/5, 0.5, 4, 875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*w - 161*w + 86*w = 21712. Calculate the greatest common divisor of w and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70711 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 75*v**3 + 13*v**2 + 26*v - 50. Let f(z) = 37*z**3 + 6*z**2 + 12*z - 25. Let j(b) = -13*f(b) + 6*r(b). Differentiate j(t) with respect to t.\nAnswer: -93*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2353.\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:27 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**2 - q - 1. Give c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4321*0.39\nAnswer: -1685.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21271 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 13*x - 38 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(42)\/(sqrt(18)\/sqrt(3))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/((sqrt(9) + (sqrt(9) + sqrt(9) + 2*sqrt(9) - sqrt(9)) + sqrt(9))*-3).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 8*y + 3. Let r be d(-6). Suppose -3*t + r = -78. What are the prime factors of t?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28268\/7 + ((-282)\/(-42) - 7)?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568898466?\nAnswer: 2, 3, 191, 467, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -768\/11 + 70. Let d = -0.2 - -1.2. Let k = d + 0. Which is the nearest to k? (a) s (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/85 + -18\/85. Let u be 85\/175 + 3\/(-15). What is the biggest value in u, c, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*w + 47 + 138 - 185.\nAnswer: 83*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b06ce (base 16) in base 2?\nAnswer: 10010110000011011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 66636.\nAnswer: 333180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 21680 - 21680.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*c - 9. Suppose 4*n - 79 = c*m + 251, -4*m = n - 92. Is 28 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1156085 = -3*q - 4*n, q - 385375 = 26*n - 29*n. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4\/7))**(5\/11)*((y\/(y\/(y\/(y*y\/(y**4\/y))))*y)\/y)**(-21))**17)**18 assuming y is positive.\nAnswer: y**(-995724\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1359 or 388?\nAnswer: 1359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 200?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 9 - 0. Let a(j) = v*j**2 - 61 + 61. Let k(z) = -2*z**2. Calculate k(a(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -227*j + 2509. Calculate k(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 683*o + 2076. Let d be h(-3). Let b be ((-6)\/4)\/((-1)\/18). Calculate the greatest common factor of b and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2\/8 + 525*i\/2 - 1047\/2 = 0. What is i?\nAnswer: 2, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*p - 5*z - 32, 2*p + 3*z = 1. Let k = -20 - -18. Which is the closest to k? (a) -5 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*o**3 + 41*f**3*o**2 + 4*f**2*o**3 + 3*f**2 - 477*o**3 + 9*o**2 + 2 wrt o?\nAnswer: 6*f**3 + 24*f**2 - 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 times 2.34\nAnswer: 8.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 19, 136, 343, 628, 979?\n\"Answer: -2*q**3 + 57*q**2 - 40*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {g: 2, z: 1, c: 5, t: 6, e: 2, r: 1}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -n - 4*n. Suppose -4*j - s + 56 = -3*s, n*s = -5*j + 83. Suppose -2*v + 111 = 5*k + 10, 0 = 5*v - j. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.1 + 7.1. Suppose 0 = 4*k - 192 - 20. Let s = 369\/7 - k. Which is the third smallest value? (a) j (b) s (c) 4 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1216 + -5?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from xggx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21360768?\nAnswer: 2, 3, 11, 13, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11118 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 8*u = -2529. Let k = -187 - u. Let w = 96 - k. Solve -w*i = 3*b - 2 - 6, 3*b = 2*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.2896*329\nAnswer: 4372.2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945265.2 less than -0.28?\nAnswer: -1945265.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q - 4. Suppose 4*b + 1 - 13 = 0. Suppose -4 = -3*x + x, 2*f - b*x = -24. Is 5 a factor of g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1192 + 6?\nAnswer: -118b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9)*s\/((s\/(s*s**(6\/13)))\/s)*s)\/(s*s**(-7)*((s\/s**(2\/15)*s)\/s)\/s) assuming s is positive.\nAnswer: s**(116\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*i = -i + 15, -4*p - i = -48. Let m = p + -10. Is 1\/4 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -25. What is the closest to -0.1 in m, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 14*c + 128. Factor 48*k + c + 14*k**4 + 24*k**4 - 12*k**3 - 36*k**4 + 2*k**2.\nAnswer: 2*(k - 4)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 582? (a) 348\/11 (b) 0.06 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 423, 521, 529, 429, 203, -167, -699?\nAnswer: -1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 147)*17\/34. Let t = 168 + b. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/65*2\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -616 or -615?\nAnswer: -615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l + 5. Let o be u(0). Suppose -4*y = -8, 0 = o*r + y - 8 - 4. Find the second derivative of -4*q - 6*q**2 + 2*q**2 + 2*q**2 + q**r wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 21 - 36 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108190054?\nAnswer: 2, 7, 107, 72223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 17*w**2\/2 - 4. Let s(v) = -v. Calculate q(s(p)).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 8. Let r be b(8). Suppose 0 = -4*f - r*f - 4. Sort f, -3, -4 in ascending order.\nAnswer: -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 10. Let q = -1 + p. What is the nearest to -1\/4 in 2, 3, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/27)\/((8449\/54315)\/((-2)\/(-20)))\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*n**5 + 19*n**2 - n - 101302?\nAnswer: 620*n**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 463639 and 3532683?\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -55*b**3 + 10*b**2 + 29. Let c(q) = -110*q**3 + 22*q**2 + 68. Let f(h) = -3*c(h) + 7*y(h). Calculate f(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 94282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/(-26))\/9)\/((198\/(-12))\/33)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 8:17 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 844 + -831. Let h be -49 - (1 + 1\/1). Let w be -1 - (2 - h)*-1. Calculate the highest common factor of n and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q + 532. Let m(c) = -10*c**2 + 8*c - 28. Let g(h) = 22*h**2 - 18*h + 63. Let t(l) = 4*g(l) + 9*m(l). Give t(a(b)).\nAnswer: -8*b**2 - 4256*b - 566048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209368, 2, 2\/7 in ascending order.\nAnswer: 2\/7, 2, 209368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149298421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 14) in base 11?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**2\/2 + 8*u - 2. Let k be s(4). Suppose 30281 + 2519 = k*r. Round r to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/5, -1, 4, 0 in ascending order.\nAnswer: -1, 0, 3\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 384*q + 39*q**2 - 3\/2*q**3 + 816.\nAnswer: -3*(q - 34)*(q + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 4. Suppose 2*l - j = -5*w, -w = -0*w + l + 2. Suppose 4*n - 5 = w*n. What is the biggest value in n, -1, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -23 (b) 3 (c) 5 (d) -6 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - c - 53, 37 = q + q + c. Let o be 466\/9 + 4\/q. Suppose o = 2*x + 4*s, -3*x - 3*s = s - 84. Calculate the greatest common divisor of 48 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1828*b - 244. Let m(k) = -609*k + 86. What is 17*m(a) + 6*q(a)?\nAnswer: 615*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00525407271 rounded to seven dps?\nAnswer: 0.0052541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 1\/4*g**2 - 290*g + 84100 = 0?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 921126292\nAnswer: -921126280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 71. Let f = x - -1. Let q = 26 - f. Put -0.2, 3\/5, q in increasing order.\nAnswer: q, -0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4193 + -4156. Suppose m - 2*m + 1771 = 3*y, 0 = y - 3*m - 607. What is the greatest common divisor of n and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 8. Let h = 7 - 2. Put x, 0, h in decreasing order.\nAnswer: h, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = -1. Suppose 5*p + 32 = -0*s + 4*s, 3*p + 9 = -s. Suppose -4*n = -s*n. Solve 3*t - 4 - u = n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1190207 and 236?\nAnswer: 4760828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -101, -1\/8, -35 in increasing order.\nAnswer: -101, -35, -0.3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4, -61122 = -2*h - k + 570664. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-28)\/8)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 15*m - 4. Let x(b) = 1 - 4 + b + b**m + 6. Determine x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z**3 - z**2 - 3*z + 15. Let r(y) = -7*y**3 + y**2 + y - 8. Let c(l) = -6*m(l) - 11*r(l). What is c(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.288*-0.5.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -13. Let m = -515 + 536. Calculate the greatest common divisor of n and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 132*x - 2369. Give r(11).\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2541 - -1?\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*k - 27, 2*j = -6*k + 7*k + 1. Solve -j*s + s - 12 = d, -2*s = -5*d - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-45)\/(-36)) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29697520 divided by -1?\nAnswer: -29697520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 23 + 67 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 - 2*u + 2. Let p = -152 - -114. Let v = -40 - p. What is l(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/13)*v)*v**(-1\/11)*v)\/(v**7*v)**(2\/131) assuming v is positive.\nAnswer: v**(13301\/18733)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004193 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4, -808.33859?\nAnswer: -808.33859","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/7 + 5227*u**4\/7 - 1433760*u**3 + 1204403200*u**2 - 374714368000*u.\nAnswer: -u*(u - 1867)*(u - 1120)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-8)\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**3 - 8*i**2 + 2*i + 2. Let b(f) = -3*f**3 - 7*f**2 + 3*f + 3. Let g(y) = -2*b(y) + 3*h(y). What is the third derivative of g(j) wrt j?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1873273 - 13?\nAnswer: 1873260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 5*t**2 - 17*t - 11. What is u(7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 25 = 5*q, -q - 112 = -3*l. Calculate the smallest common multiple of l and 33.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 1347?\nAnswer: -3\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -53, 0.1, -0.4, -1\/3, 0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (14 + (-11 - 14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 555?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2 - u + 1. Suppose 6*q = q + 10. Suppose 24 = -2*s - q*s. Let w be (4\/(-2))\/((-4)\/s). Calculate r(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0404 in -0.5, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 59 = -81 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 393*u + 13. Let v(w) = -262*w - 9. Let s(q) = 5*o(q) + 7*v(q). What is the tens digit of s(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 = 184*p + 537 - 268, p + 49 = 5*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024814365 to 4 decimal places.\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h**3 + 2*h**2 + 3*h + 2. Let t be c(-1). What is the first derivative of 6 - t + 6*r + 3 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -796, -445, 146, 983, 2072, 3419, 5030?\nAnswer: 6911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*l**3 - 11078*g**2*l - 69*g**2 + 13657*g*l**2 - 69*l**3 wrt g?\nAnswer: 2*l**3 - 22156*l - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10305 - -30917\/3. What is the nearest to 2\/3 in 135, 1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one quarters of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3460542 + 8486263 = 0. Let w = c - -5289361. Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 9 - 2*i + 7 + 2*i**3 - 2 - 15*i**4 + 7*i**4 as m*i + l + q*i**4 + v*i**2 + p*i**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 11. Let f(q) = 9*q**2 + 6*q - 32. What is f(i) + 3*s(i)?\nAnswer: 9*i**2 + 9*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/16*(13020\/(-150))\/31?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1723 - -1722.8. Which is the nearest to 18? (a) n (b) 3\/4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 8*y - 28. Suppose -20 = -y*k + 232. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3213 is divided by 641?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 11*z**2 + 4*z - 3. Let b = 185 + -190. Let f be u(b). Solve 4*r + 6*s = f*s + 4, -4*r + 9 = 5*s for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p - 115. Let a be d(8). Suppose g + 15 = 3*t - 17, -2*g - 60 = -2*t. Which is greater: a or g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 3. Let u be i(-4). Let r = u - 4. What is the nearest to 2\/3 in -0.3, r, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 + 2040*s - 4068 = 0.\nAnswer: 2, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.112 - -0.09. Let a = -14.04 - -14.2563. Let b = h - a. Round b to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.556 + 2.336. Which is the fourth smallest value? (a) z (b) 2 (c) 0 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (108\/(-65))\/(-3) + (-40)\/260. Solve -u*n**2 - 4\/25 + 14\/25*n = 0 for n.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**(-3\/2)\/(p\/(p\/(p\/p**(-2\/5)))*p*p)**(-4)*(p\/(p*p**0*p*p))**30\/((p**(-1\/3)\/p)\/p)**0 assuming p is positive.\nAnswer: p**(-1871\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) + (2*sqrt(170) + sqrt(170))*3)\/sqrt(10) + (1 + sqrt(17) + -5)*3)*-5)**2.\nAnswer: -7800*sqrt(17) + 75425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(2 - 2 - 4*b)*(0*b + b - 6*b).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5505366 is divided by 367?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + 305. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -15*l**2 + 12*l - 36. Let q(w) = -3*w**2 + 4*w - 12. Determine -7*q(x) + 2*t(x).\nAnswer: -9*x**2 - 4*x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 10\/9*n**2 + 8\/9*n + 2\/9*n**3.\nAnswer: 2*n*(n + 1)*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520*-0.004292\nAnswer: 2.23184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 7*p + 5. Let r = -218 - -235. Suppose -19 = 6*d + r. Give j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00190332 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) -8 (b) 0.1 (c) 3 (d) -0.2 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288\/11*h**2 + 294\/11*h**5 + 32\/11*h - 952\/11*h**4 + 0 + 864\/11*h**3 = 0 for h.\nAnswer: 0, 2\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20163 = -878*j + 7871 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, -2, -3.\nAnswer: -168, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2618796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6550123471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1900))*-5 + -2*(-1 + sqrt(1900)) + 1 + 4*(sqrt(1900) + 0 + -1 + sqrt(1900) + -1 + -1 + sqrt(1900)))**2.\nAnswer: -900*sqrt(19) + 47581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684152354.\nAnswer: 2, 2477, 138101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14055 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4667536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16645 is divided by 8216?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*8\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.377743 months to centuries.\nAnswer: 0.0069814525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 1 - ((4 - 5) + 4 + -3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3853, -3894, -3961, -4054, -4173, -4318?\n\"Answer: -13*p**2 - 2*p - 3838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 220\/7?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60.74 - -60.525. Do c and 19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.02, -81, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3182 divided by -1?\nAnswer: -3182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - 2187*k - 40. Let h(g) = -6*g. Give h(p(d)).\nAnswer: -24*d**2 + 13122*d + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 0*c**2 - 8\/15*c**5 + 3 + 5\/6*c**4 - 4\/9*c**3 + 1\/9*c**6 + 0*c. Factor b(k).\nAnswer: 2*k**2*(k - 2)*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/(-3)*((-2457)\/(-429) - 6))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45511341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/35)\/(2\/(-5)*17).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**(-1\/21)))\/((g\/(g*g\/g**(-10)))\/g)*g**(-5)\/g**(-8\/7))**(7\/2) assuming g is positive.\nAnswer: g**(149\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -16. Let v = c - -20. Suppose 0 = -0*h - v*h + 116. 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 883240619 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 554*r + 117. Let p(x) = 831*x + 187. What is -5*p(y) + 8*q(y)?\nAnswer: 277*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1b31b (base 13) to base 16\nAnswer: d00b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 2:28 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1042948, 1042945, 1042942, 1042939, 1042936?\nAnswer: 1042933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -8*i + 6*i. Let m = 64 + i. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4351118743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f**2 + 6*f**2 - 4*f**2 + f**3 - f**2 + 14 to t*f**3 + x + g*f**2 + v*f and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4090.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 5. Let z be i(3). Suppose 0 = -2*t - 3*m + 53, 0 = -z*t + 3*m - 59 + 156. Let g(w) = w**2 - w - 3. Let h be g(3). Solve -2*d = h*d - t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8*t + 4*t = -170, 0 = 4*a + t - 340. Suppose -d - 3 = 4*b - 25, -5*b - a = -5*d. Is 17 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79331.\nAnswer: 7, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4611799 and 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Suppose d*h - 3*h + 57 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/3))*b*b**(-2\/9))**(-25) assuming b is positive.\nAnswer: b**(-250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 192775968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7333567 is divided by 31747?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -14, 0.6, -0.5015?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjmjtmccjwcwjtw. What is prob of sequence mmt?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -172022 in descending order.\nAnswer: 2, -5, -172022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0 + 3. Let g be (8 - (9 - 4))*4. Suppose g*h - 4 = 14*h. Put h, -5, a in increasing order.\nAnswer: -5, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 + 84 + 62 - 51 - u - 2*u**2 + 96 to y*u**2 + h*u + i + w*u**3 and give i.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6 + 1\/3)\/(681\/(-7491))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63, -72, -95, -138, -207, -308, -447?\n\"Answer: -k**3 - k**2 + k - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2214*-68\nAnswer: -150552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*z**4 + 46*z**3 - 212*z**2 + 194*z - 36 = 0. Calculate z.\nAnswer: -9, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 6. Let p = -11 - -6. Let l be w(p). Suppose -2*t = -l*z - 24, 0 = -t - t - 2*z. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -559, -3208, 2 in decreasing order.\nAnswer: 2, -559, -3208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -38*j + 272. Let o(f) = 12*f - 88. Let p(i) = -16*o(i) - 5*y(i). Calculate p(14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:41 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -11*w**2. Suppose -2*j + 4 = 0, 5*j + 5561 = 2*a + a. Let u(s) = -1857*s + a*s - 2*s**2. What is h(u(g))?\nAnswer: -44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 10) to base 11\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11274926.\nAnswer: 2, 13, 433651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 526, 1163, 2044, 3163, 4514?\nAnswer: 6091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m\/(m\/(m**3\/m*m*m)*m))\/m)\/m)\/(m\/m**2)*(m*m*m**(-5)*m*m)\/(m\/(m\/m**(-3))) assuming m is positive.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**2 - 3*g - g**2 - g**2 + 7 - 3*g**2. Let j be w(-5). Let k(b) = b**3 + 6*b**2 - 3*b. What are the prime factors of k(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 divided by 62.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-2)\/8 + 1. Let x = -1.58 - -0.18. Let i = x + -0.6. What is the third smallest value in 3, i, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001011100 (base 2) to base 10\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*a + 61*a - 12 = 0. Calculate the smallest common multiple of a and -1*((-178)\/6 - 48\/36).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*t - 10, -2*x - t = -x + 4. Let u = -5 - -4. Let m = u + 0. Sort x, m, 3.\nAnswer: x, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/15 - 104*a**3\/15 + 442*a**2\/15 - 112*a\/5 = 0 for a.\nAnswer: -56, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9258226 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, 1\/8, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59550416 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: Suppose 3*s + 823855 = -66668. Let r = s + -203159. Round r to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a meter in millimeters?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 56. Let d = -24 + w. Calculate the highest common divisor of d and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = 4*q. Suppose 0*p - 26 = -5*z - p, -2*z - q*p + 14 = 0. Suppose -2*n = 2*j - 9 + 1, -3*n + z*j = -20. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2458 divide 3922397027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2154*t + 1057*t + 1132*t + 2*t**3 to k + l*t**2 + j*t + f*t**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.184603316 to three decimal places.\nAnswer: -0.185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 23321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 12:25 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 3 (b) 5\/32 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -52. Suppose a = m + 4*m. Solve -4*k + 6 = -m*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 1048 + 1048.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/((-356352)\/(-371200) + -1*(-1)\/25).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.04419347 and -0.4?\nAnswer: 0.44419347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*n**2 + 2*n**3 + 3*n**4 - 39*n**2 - 2*n**4 - 10*n - n**4 - n**4 in the form t*n + s*n**3 + q + b*n**4 + p*n**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/(-6) + 2\/(-6). Suppose t*u = -49 - 27. Let m = u - -19. Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7838.64 to the nearest 100.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (6 - 5)) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.205, -2, 0.3, -4, -1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.63574 days in nanoseconds?\nAnswer: 6362127936000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -843941 or -843802?\nAnswer: -843941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68096 and 34846.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.7 (b) 0.5 (c) 24 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 155*g**2 + 2108*g - 96. Determine p(-15).\nAnswer: 3159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) 2\/3 (c) 1\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-27)\/21 + 2. Let j be 560\/(-64) - -6 - 3\/(-4). Which is greater: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -4, 1\/9, -7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*f + 16, -f - 3*f + 4*u = -32. Solve f*w + 2 = 2*j, 2*j = -0*w + 3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*n = -9982 + 22082 for n.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.45? (a) 2\/7 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 947692 and 368?\nAnswer: 3790768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1297\/24 or 55?\nAnswer: 1297\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n - 97. Determine u(28).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-176)\/(-44) + 5\/(0 + 1). Sort m, 3, -5.\nAnswer: -5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 + 2*a + 1. Let g(j) be the third derivative of 11*j**4\/12 - 13*j**3\/2 - 38*j**2. What is the remainder when g(4) is divided by f(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 21*z - 31 = 19*z, -2*d - 3*z + 4 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 2575 + 3177. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1675 - 1519. Calculate the highest common divisor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20525316401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0365, 0.5, -2414 in descending order.\nAnswer: 0.5, 0.0365, -2414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 + -5. Let l = j + 0.5. Let i = -19.2 + 19. Which is the closest to -1\/4? (a) i (b) l (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14327203 (base 8) to base 11\nAnswer: -1924265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5120?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -7*d**3 - 19*d - 2. Let x(w) = -14*w**3 - 38*w - 5. Let y(f) = -5*t(f) + 2*x(f). Find the second derivative of y(i) wrt i.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.73961\nAnswer: -0.369805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-92)\/(-22) + (-102)\/561?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1419561, -2839150, -4258739?\n\"Answer: -1419589*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 6*p - 3*p + 3*p. Let k(o) = -2*o - 13. Let b(c) = c + 6. Let y(r) = -13*b(r) - 6*k(r). What is y(n(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4688 is divided by 2039.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-9)\/2736*2)\/((-1)\/(-1)).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(4*b - 3*b - 2*b) + 2*b - 2*b + 2*b + (b + 0*b - 3*b)*(-3 + 4 + 1) + 3 + b - 3 + 0*b + 2*b + 0*b + 4*b - 3*b + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 h when four letters picked without replacement from hhnhyhyhyyynyhy.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786603689.\nAnswer: 73, 307, 35099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + -6*-2*-5*(sqrt(1216) + 2))**2.\nAnswer: 116160*sqrt(19) + 4392246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/3)*w*((w*w\/w**(-12\/7))\/w*w*w)\/w*w**12\/(w*w\/(((w\/(w\/(w\/(w*(w\/w**(7\/4))\/w))*w*w))\/w*w)\/w)*w) assuming w is positive.\nAnswer: w**(935\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11673*t**2 - 2*t*u**3 - 6*t*u + 27415*u**3 - 138*u with respect to t.\nAnswer: -23346*t - 2*u**3 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143856 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*q = -33*q - 633 - 1932 - 1538 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2475\/(-88) - (18\/16 + 80\/(-64)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 836061 = -2727230. Suppose -4*z - n - 11329833 = 0. What is z rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 10:30 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, 0.4, -2\/7, 16.5, -3, 5 in ascending order.\nAnswer: -227, -3, -2\/7, 0.4, 5, 16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 15 - 15. Does 15 divide (-15)\/2*(-16)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123793492 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i + 30*i - 55 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*b + 56*b - 178*b.\nAnswer: -323*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6749 (base 10) in base 14?\nAnswer: 2661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006784116 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 2*g)*(374 + 24 + 133)*(-3 + 1 + 3).\nAnswer: 1062*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964866725 to the nearest integer?\nAnswer: 44327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2751180.\nAnswer: 2, 3, 5, 45853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1153*h**2. Let m(v) = 233*v**2. What is m(r(n))?\nAnswer: 309752297*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 55, 224649?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44 (b) 3 (c) 4 (d) 1 (e) 2.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 10550?\nAnswer: -10555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 113*r - 777. Give q(10).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2930?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8685 and 12335595?\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 118*v + 617. Let r be z(5). Solve -11*a + 6*a - 2 = 2*c, -r*c - 3*a + 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - -0.26. Let s = -3 + 2.8. Suppose -7 = 5*i + 3*v, 0 = i + 5*v - 2*v - 1. Which is the closest to 0? (a) s (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/3 + 74291*u**2 + 4*u\/3 - 297164 = 0. What is u?\nAnswer: -2, 2, 222873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 123956594689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0 + 0*k**4 + 0*k**3 + 0*k + 1\/30*k**5 + 4*k**2. Let t(q) = -2*q**2. Determine d(t(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.223 * 2485\nAnswer: -554.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**8*f*((f*f*f**(-6)*f)\/f)\/f)\/(f**12\/f*f\/(f**(-10)*f*f)) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 31\/2 of a millisecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64*k**2 + 5*k - 9.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - 41. Let c = 99 + r. Let p = 52 - c. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -22. Suppose -n + w*b - 71 = -3*n, -13 = -n + 2*b. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4 - 4 + 4 - r. Let s(h) = 2*h - 5. Let w(m) = m**3 + 5*m**2 + 4*m + 2. Let b be w(-4). What is b*s(d) + 3*u(d)?\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = 3*x, -3*k + 0 = 2*x - 4. Let u(b) be the third derivative of 1\/24*b**4 - 1\/3*b**3 + k - 3*b**2 + 0*b. Determine u(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 0 + (6 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -2*sqrt(76)*-5 + -4 + (sqrt(19) - sqrt(95)\/sqrt(5)) + 2.\nAnswer: -2 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 5:27 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3024 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-290)\/(-812)*12\/30?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3*r + 7)*(r + 2 - 2) + 3*r**2 - r**2 - 4*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 294043.8m?\nAnswer: 294043800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3\/((-3)\/(-4)). Suppose 3*u = -7 - 2, 4*v - 28 = h*u. Suppose -40 = -4*n + v. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1602353 (base 7) to base 3\nAnswer: -102010220112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -0*o - 3*c, -c - 1 = 0. Let f = 3 + o. Solve -3*h - 2*h + 2*k = -10, -8 = 3*h - f*k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 19. Suppose -x*q + 71 = -45. Let f = q - -1. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/245 and -11\/280.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 244673\/(-16588)*(-2)\/59?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 9449*f**2 + 503660*f + 513108.\nAnswer: -(f - 54)*(f + 1)*(f + 9502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 - 2*u**3 - 180*u**2 - 4*u - 724?\nAnswer: 24*u**2 - 12*u - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 224583 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/45552 and -127\/57298722?\nAnswer: 458389776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7174*v**2. Let c(g) = -13*g**2 + 9*g + 90. Let t(q) = 29*q**2 - 20*q - 200. Let w(j) = 20*c(j) + 9*t(j). Calculate w(l(i)).\nAnswer: 51466276*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335072694?\nAnswer: 2, 47, 14202901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tztt when four letters picked without replacement from hzthttzhzzthhttt?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, s: 9}. Give prob of picking 3 i and 1 s.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 6*o**2 + 1. Let h(u) = -8*u**3 - 14*u**2 + 5*u + 2. What is h(s) - 2*l(s)?\nAnswer: -10*s**3 - 2*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = c - 297, -2*c - 378 = -5*p - c. Calculate the remainder when p is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2057\/618 + 1\/206. Let a(p) be the first derivative of -7*p**4 + 0*p**2 - x*p**3 + 0*p + 4. Find the third derivative of a(d) wrt d.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326261?\nAnswer: 13, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) -23 (c) 39.369\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1105, -1045, -923, -721, -421?\n\"Answer: 3*k**3 + 13*k**2 - 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*y**3 - 1256*y**3 - 76*y**3.\nAnswer: -1592*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -8, -17, 0, 586 in increasing order.\nAnswer: -17, -8, -2, -1, 0, 586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15287 is divided by 254?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -21*t**5\/5 - 11*t**4\/4 + 62*t. What is the third derivative of g(b) wrt b?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -150*q**2 + 4390*q - 1173. Calculate o(29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.415374l to millilitres.\nAnswer: 415.374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7028)\/7530)\/(21\/(-60)))\/(52\/18*1)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 318 = -2*l + 3*l, -49 - 53 = m - 23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**4\/6 - 13*h**3\/2 + 6*h**2. Let w be t(-16). Let j be w\/(-5) + 6 - (-1 - 0). Solve f + j = -3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - n = 311, -143 = 4*i - 6*i + 3*n. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1321*t**3 - 3*t**2 - 6*t + 15. Let a(d) = -6604*d**3 - 14*d**2 - 28*d + 70. What is 6*a(l) - 28*m(l)?\nAnswer: -2636*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*r = -242 - 1523 - 1271. Suppose 5 - 35 = -5*t. Let l = 76 - t. What is the remainder when l is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 67698?\nAnswer: 338490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 3*w - 13, -4*u + 3*u = -w - 5. Suppose 6*y + u = 70. What is the smallest common multiple of 24 and y?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37107 and 9882?\nAnswer: 40743486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 52 = 5*r. Solve 0 = -n - 2*n - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 times -3164324.2\nAnswer: -63286484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -351, -519, -687, -855?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*r + 3, -f + 5*r = -9. Let b = -4 + f. Suppose -42*n - 211 + 421 = 0. Sort b, n, -27 in increasing order.\nAnswer: -27, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5199537009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbwiwbwiwii. What is prob of picking 1 i and 3 w?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 159 and 6996.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -12 (b) 2\/21 (c) 0.9 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*j**3*n**3 - j**3*n*s - j**3*n - 1028137*j**2*n**3*s + 344955*j*n*s - 2*n**2*s - 2*n**2 wrt n?\nAnswer: -234*j**3 - 6168822*j**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 12. Let q be h(0). Let l be (-2)\/3 + (-4)\/q. Let x = -2.7392 - -3.0392. What is the smallest value in l, -8\/3, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 3 + -3 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -69. Solve 0 = -4*z + t + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by 69.\nAnswer: -216\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 136\/(-17) - ((-23)\/4 - 1). Which is the fifth biggest value? (a) i (b) 5 (c) 2\/7 (d) 76 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -41375\/63784 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2 - (-12)\/2) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + 0. Let u = 2\/679 + 8817\/3395. Let a = u - 49\/15. What is the nearest to a in -0.4, b, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.47 + 804.47. Let c = 798.999998931 - p. Round c to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4 - 3\/(-6). Let b = c - -9. Let g(q) = -9*q - 2*q - 969*q**2 + 5 + 965*q**2 - 2*q. Let t(x) = 2*x**2 + 6*x - 2. Calculate b*t(m) + 4*g(m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/2 + 19*h**3\/2 + 65*h**2\/2 + 61*h\/2 + 9 = 0. What is h?\nAnswer: -1, -2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6617.4614 - -6618. What is i rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**4\/12 + v**3\/6 + 7*v. Let b(i) = -i. Let n(o) = -2*b(o) - 2*l(o). Let z(t) = t**2. What is n(z(x))?\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 5. Let j = z - -6. Suppose 0*k = 2*k - 8*k + 12. What is the remainder when k is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 65 = 3*p. Let a be ((-194)\/(-6))\/(2\/9). Suppose -417\/2*l**3 + 285\/2*l**4 + 6 - 75\/2*l**5 - 48*l + a*l**p = 0. Calculate l.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2332320 (base 4) in base 5?\nAnswer: -342331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*18\/(-60) + (-3)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1776, -7675, -21844, -48417, -91528, -155311, -243900?\n\"Answer: -689*k**3 - k**2 - 1073*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.264 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 7:20 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10*s**2. Let p(o) = 11 - 6 - 5 - 22*o - 7*o. What is g(p(t))?\nAnswer: -8410*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 956*j + 4. Let y(d) = 320*d + 1. Let p(m) = 3*u(m) - 8*y(m). Does 58 divide p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123559633 is divided by 6463?\nAnswer: 6462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z + 7. Let h(n) = -4*n - 6. Let d = -439 + 445. Calculate d*h(b) + 5*p(b).\nAnswer: -9*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (68\/(-8) + 11)*(-4)\/(-20). Factor -o - 1\/2 - u*o**2.\nAnswer: -(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44451196187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -22. Solve 2\/9*w + u + 2\/9*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/h)**(26\/5) assuming h is positive.\nAnswer: h**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 = -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*d - 85 = 0, -2*a - 40 = -6*a + 3*d. Let y be (10 - a)*(-8)\/6. Solve 0 - y = v - 3*p, v = -p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 17*t**2 + 16*t + 45. Let m(g) = 11*g**2 + 11*g + 30. Let q(j) = -5*d(j) + 8*m(j). Calculate the remainder when q(-6) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-4))\/(1\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**6\/180 + r**5\/120 + r**4\/12 - r**3\/3 + r. Let o(m) be the second derivative of v(m). Is o(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -20*q + 29*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 2*f + f + 5*f + 6. Let h(i) = -5*i**2 + 1. Let q be h(-1). Let c be t(q). Solve -c*x + 4 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y + 3*w - 17, w = 5*y + 24. Let h(u) = u**3 + 15*u**2 - 17*u - 20. Let x be ((-144)\/(-30))\/(6\/(-20)). Let p be h(x). Sort 2, p, y, 1.\nAnswer: y, p, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-16)*4 + 46. Suppose -3*b = -2 - 7. Suppose b*o - 5*o + 10 = 0. Calculate the highest common divisor of z and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -482298*s - 31885101 wrt s.\nAnswer: -482298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcpgpcgcgccggggg. What is prob of picking 3 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 25\/1034638 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-335)\/(-201))\/(75\/12))\/(4\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z + 6. Let j(f) = 8*f + 17. Let u(w) = -6*j(w) + 17*v(w). Let c(s) = -s + 2*s - s**2 - s. What is c(u(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (41*513\/11685)\/(2*15\/(-125))?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 + 3 = 0. Let z = 0.0255 - 0.4255. Let o = 7 + -10. Which is the nearest to i? (a) o (b) z (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + g = -54, -2*g + 57 = -13*a + 14*a. Calculate the remainder when 103 is divided by a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 366 = 2*j - 5*j, 5*j + 5*f - 610 = 0. List the prime factors of j.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 + 1 + (59 + -36 - 29)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 0*m**2 + 0 - 48*m - 1\/90*m**5 - 1\/54*m**4 + 2\/27*m**3. Solve k(s) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 5:29 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {d: 3, x: 2, o: 4, j: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2278 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -19 (c) 4\/39 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 45*m**2 + 70*m + 6. Let d be h(24). Let v(s) = -2*s - 6. Let p be v(6). Let g = p - d. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -29. Suppose -4*k + z = -j, 3*j - 3*k - 16 = 11. Solve -t = 5*q + j, q - 4 = 2*t - 0*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/3, -0.2, -2.727?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-8)*((-1216)\/68)\/(-19)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 89581050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 25 = -3*u + 68, -2*u = -3*f + 71. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96*96\/(-13824))\/((-1)\/((-24)\/2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 139 (b) 3 (c) -143433 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**7)**40 assuming n is positive.\nAnswer: n**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 16\/7 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -17*a**6\/120 + 14*a**3 - 179*a. Let l(p) be the second derivative of d(p). Let s(u) = -u. Determine s(l(q)).\nAnswer: 51*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7397*d = -1806*d + 248046 - 2873 + 39968 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -160*w - 35. Let o be l(2). Let u = o + 358. Solve -27 = u*x - 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1108 + 0.8892. What is the closest to 46 in -16, s, 5\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 3 (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12143 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(875)*1)\/(sqrt(504)\/sqrt(8)))**2.\nAnswer: -250\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 - 35. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 7. Let r be u(5). Let o(y) = -y**3 + y**2 - y. Let l be o(r). Let x(c) = 134*c + 4. Let w be x(l). Round w to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + 0.59. Let h = 0.56 - j. What is the closest to 0.2 in -1\/4, 3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -89, -192, -327, -500, -717, -984, -1307?\n\"Answer: -n**3 - 7*n**2 - 49*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*x + 50. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*p - 40 - 38 + 78 + p**2.\nAnswer: p**2 + 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 16*x - 14. What is u(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 7:35 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 505*b - 1490. Give t(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5480*n**4 - 6946*n + 3.\nAnswer: -65760*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {p: 1, s: 1, f: 1, q: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 6*f + 8. Let q = 13 - 4. Is k(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/15 + 724*n\/15 + 96 = 0. What is n?\nAnswer: -360, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-3)*(-518)\/(-1036)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2196 - 500 = -260*c + 2244 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 7 = -5. Let q be (3\/6)\/(w\/404). Suppose 59 = 4*b - 4*y - 49, 4*b = -3*y + q. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -872, -3631, -8236, -14693, -23008, -33187, -45236?\n\"Answer: -q**3 - 917*q**2 - q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211646?\nAnswer: 2, 23, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 858\/18 + (-1)\/(-3). Suppose 6*q - 9*q = -x. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5*-46 - 1\/5. Let h = z - 5. Solve a - 17 = -3*f, a = -5*f + h*a + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -4 (b) -0.2 (c) 498\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 32. Let u be r(4). Let i = u + 25. Let b = 50 - i. Solve 5*c = -16 + b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**3 - 56*f**3 - 25*f**3 - f**2.\nAnswer: -58*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-14)*(-42)\/(-12). Let u(z) be the first derivative of z - 1\/10*z**5 + 5\/4*z**2 - 1\/8*z**f + 1\/2*z**3 + 3. Find m such that u(m) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvnn when four letters picked without replacement from {o: 6, n: 7, v: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d*d**(-6\/5)\/d))*d\/(d*d**(-3))*(d**(9\/4)*d)**(3\/2) assuming d is positive.\nAnswer: d**(267\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, a: 9, t: 3, n: 2}. What is prob of picking 3 a?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845*k + 4737*k - 5580*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**5*o - 1539*b**4*o**2 + 125*b**2*o + 9*b*o**2 - 2*o**2 wrt b.\nAnswer: -120*b**2*o - 36936*b*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3 and -43\/3021.\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6752?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 32*j - 13*j + (-2*j + 3 - 3)*(-87 - 51 + 26) in the form s*j + h and give s.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*m**2 - 3*i**3*m + 32549*i**3 - 3*i*m**2 - i + 6155*m**2 + m wrt i?\nAnswer: 12*i*m**2 - 18*i*m + 195294*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.1308314 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 294 = -238 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, -4\/7, -126?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4515*o - 4513*o - 4548*o - 125*o**2 + 13578*o.\nAnswer: -125*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 59 + 31. Suppose -5*h + q - 2*q + 10 = 0, 3*q + n = 5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*s + 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -i + 40. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21867 divided by -3\nAnswer: -7289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:25 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 69*h = 64*h + 45, 5*i = 4*h + 96. Solve 15*w - 4*w = -i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (33 - (7 - (8 - -1)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 21 = 3*b + 5, 5*b - r - 26 = 0. Let z(m) = -3*m + 2. Let i be z(0). Let y be (-2)\/1 - (-6 + 2 + i). Solve y = u - b*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/107811 and -41\/245025.\nAnswer: 2695275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 1. Let m be w(-6). Suppose 2*r + 3 = m. Let z = -25 + 27. Solve -z*k = -r*k - 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*w - 20, 0*q + 8 = 2*q + 2*w. Let c = 74.32 + -74. Let p = c - -3.68. What is the closest to q in p, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - sqrt(180)*-1*2)\/(sqrt(20)\/(sqrt(36) + sqrt(4))))\/((-1*sqrt(108)*5 + sqrt(108))*-2)*-6.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 40*z + 12. Let m be x(40). Calculate the greatest common divisor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2. Let k(u) = -2*u + 19897. Give k(a(f)).\nAnswer: 2*f**2 + 19897","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -1\/6*q**4 + 0 + q + 0*q**3 + 0*q**2. Let z(m) = 6*m + 5. Let l(k) = -5*k - 4. Let w(n) = 5*l(n) + 4*z(n). Give w(t(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = -5*t, 63 = 3*c - 3*t + 21. Let l be ((-10)\/15)\/(2\/c). Let w(p) = -p. Determine w(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -0*y - 2*y. Determine s, given that -5*s**2 + y*s**2 + s + 6*s**2 + 5*s + 3*s**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 10) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1847888 by 37712.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + f**2 + 1. Let d(c) = c**3 - 89*c**2 - 7. Calculate -2*a(v) - d(v).\nAnswer: -3*v**3 + 87*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/121 and 13\/121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -4, 2, 291?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10547 + 10532.049. Let x = s + 0.151. Round x to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204546 divided by 8?\nAnswer: -102273\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**6\/15 + 4*g**5\/25 + 3*g**4\/40 - g**3\/6 - g**2\/10 - 29. Suppose o(c) = 0. Calculate c.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55576428, 55576426, 55576424, 55576422, 55576420, 55576418?\nAnswer: 55576416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3445*k + 2. Let a(p) = -3*p**2. Determine a(w(z)).\nAnswer: -35604075*z**2 + 41340*z - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 52*u**2 - 102*u + 99. What is j(50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 758. Let k(t) = 4*t**2 - 3632*t. Give k(z(y)).\nAnswer: 36*y**2 + 7296*y - 454800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*14\/182*-1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7*7*(-504)\/1029\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 59. Let k be ((-38)\/16 - 12\/(-32)) + -3. Let n be f(k). Calculate the greatest common factor of 170 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 12*f - 21. Let l be y(-10). List the prime factors of (3404\/(-138))\/((-122)\/(-126) + l).\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*s - 5, 5*m = 7*m - s + 8. What are the prime factors of 4\/8*m\/((-10)\/116)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 19*q**2 + 2. Let w be i(-19). Let x(b) = -15*b**3. Let h(k) = -2*k**3. Let l be (70\/(-21))\/(-5 - 48\/(-9)). Calculate l*h(g) + w*x(g).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g - 20. Let i be o(0). Let t be (-1)\/4 - 105\/i. Determine f so that -f**t - 7*f**5 - 10*f**2 + 2*f + 10*f**4 + 6*f**3 + 0*f**5 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -880 less than or equal to -1\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3640?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173075 by 989.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -997524 + 1995047 - 997523 + 10*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000571 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*u + 35*u - 13*u**3 + 41*u)*(2 + 0 - 1).\nAnswer: -13*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 2. Let a be 3\/1*2\/(-3). Is a at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/20 + (-444)\/(-20) + 0. Let v(n) = 2*n**2 + 11*n - 11. Let g(b) = -b**2 - b + 1. Calculate x*g(s) + 2*v(s).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)\/((sqrt(1440) - (sqrt(1440) - (sqrt(1440) - 2*sqrt(1440)))) + sqrt(10)))**2.\nAnswer: 7\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/((q*(q\/(q**(5\/2)*q*q))\/q)\/q))))\/(q*q\/q**0)*q**(-7)\/q**(1\/4)*((q*q**(-3))**(2\/127))**(3\/23) assuming q is positive.\nAnswer: q**(-43863\/11684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 5*i**5 + 2*i**5 + (2*i - 2*i - i)*(-2*i**2 + 2*i**2 + 2*i**4) + (-i**3 + i**2 - i**2)*(2*i**2 + 0*i**2 - 4*i**2).\nAnswer: -2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.11, 0.03?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjspvsfvsfsssf. What is prob of picking 1 s, 1 f, and 1 p?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 at most as big as 154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let t(g) = 88*g - 699. Let r be t(8). Solve -b*d - r = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11410773 divided by 57\nAnswer: 200189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 6*y - 3. Let l be d(5). Suppose 3*a - 2*v - 15 = -5*v, l*a + 5*v = 16. Solve -a*u + 1 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -40*n - 3. Calculate t(4).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + l = -56, 4*l - 51 - 49 = -4*w. Let h be 4\/(-6)*w\/(-6). Let t(f) = 17*f - 4. Does 14 divide t(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9885800 rounded to the nearest one hundred thousand?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 2*l + 14 - 9*l**3 + 12*l**3 - 3*l - 3 to the form m*l + u*l**2 + r*l**3 + b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 24 = -10*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 395727 by -131909.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120731088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1097, 63\/11, -7, -2\/7, 30.\nAnswer: -7, -2\/7, 2\/1097, 63\/11, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/(-108))\/(2\/(-6)). What is the third biggest value in 0.1, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 26*y**2 - 53*y - 79. Let g be i(28). Suppose -3*s + 15 = -3. Suppose 5*o = 3*o + s. Solve g*j + o*q = -22, 6 + 14 = -3*j + 5*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38249.\nAnswer: 23, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -14, 8, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/4*8\/6. Let z(p) be the first derivative of 0*p + 0*p**m - 2\/3*p**3 + 1. Let g(f) = f**2. Calculate g(z(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 11*a = -2, 2*p + 2*a - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -183\/155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055439578 plus -208?\nAnswer: 1055439370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, k: 1, p: 6, r: 7, u: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 52*f + 470. Let h be b(-9). Suppose -c = -3 - 0. What is the units digit of (2 - c\/h)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/7)\/((-61)\/(-16226)*76).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 6*t - 7. Let z(m) = m - 4. Let x be z(7). Suppose x*p - 64 - 41 = 0. Let h = p - 29. Give o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281946338 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 409249 and 0.28.\nAnswer: 409249.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3958*s + 3962*s = 5*j + 10, 20*j - 21*j - 5*s - 31 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l - 3*t, -566 = -t - 570 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - 21. Let o be (-9)\/(-3)*15\/(-27)*-3. Suppose -2*q - r = -5*r + 86, -4*q - 157 = -o*r. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -5*z - 1\/2*z**3 + 0 + 0*z**2. Let h(o) = 2*o**2. Calculate v(h(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 9*f + 84 = 0. Let d(v) = -f*v**2 - 25*v**2 + 41*v**2. Let k(w) = -7*w**2. Calculate k(d(h)).\nAnswer: -175*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = -4*y, -5*c + 0*y - 2*y = 8. Suppose -5 = -5*v + 15, c = 3*u + 3*v - 12. Solve -x - 7 = -u*x + 2*i, -5*i - 16 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.7143 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-7) - ((-16)\/28)\/4. Which is the nearest to 0.2? (a) t (b) -1\/6 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1156, 1151, 1146, 1141, 1136?\n\"Answer: -5*u + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 24 - 10. Which is smaller: 12\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 + 7*y**3)*(-4*y + 0*y + y)*(-6 + 3 + 22)*(-2 - 3 + 6).\nAnswer: -399*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70047 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13b - 3?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 - 5*a**3 - a + 8*a**3 + 2*a**2 - a**3 - 2*a**2 + (4 - 5 - 1)*(a**3 + 3*a**3 - 2*a**3) + 0*a**3 + a**3 + a**3 - a**3 + 2*a**3 - 3*a**3.\nAnswer: -7*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*a + 12 = 0. Is (-974)\/(a - 0\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*p**3 + 256*p - 59440.\nAnswer: -27*p**2 + 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*y = 528*y - 5145 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*j + 36765 = 1014*j + 18197 - 57252 for j.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-9))\/15 + (-208)\/(-40) + -26.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -3 - 1) + -1. Suppose -3*l - h = o, -4*l + 0*l + 5*o + 1 = 0. What is the units digit of (1 - 80\/l) + 0\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 335\/65 - (-12)\/(-78).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o + 15 = -5*x, 4*x - 8 = -o. Which is the nearest to 1? (a) 2\/7 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1982 or 1989?\nAnswer: 1989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -5 + -5 - 592. Is -601 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57836.\nAnswer: 2, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 + 10772*z**3 - 15680522*z**2 + 3167032632*z - 172879056072.\nAnswer: -2*(z - 2579)**2*(z - 114)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 19*c**2 + 56*c - 70. Calculate the remainder when 6773 is divided by i(7).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 11 = 2*r, 280*r - 285*r + 2*x = 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-18) - 1444\/(-24). Let a = 88 - z. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 4*j - 2. Let a be c(2). Let h(b) = -7 + 6 + 4*b - 3*b. Determine h(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j - j + 6*j + (-16 + 17 + 15)*((-4*j - 2*j + 2*j)*(2 + 3 - 4) + j + 2*j - 4*j))*(4 - 4 - 5*j) in the form b + n*j + o*j**2 and give o.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -6. Let c(q) = q**3 + 3*q**2 - 6*q - 7. Let d be c(a). Factor -3*n**2 - 5*n - d*n + 28*n - 9*n.\nAnswer: -3*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-7)\/1 + 6). Let s = -8 - -16. Suppose s = h + 5*x, -2*x + 7 = 2*h - 1. Solve -3*i = -5*a - 1, -i + h = -z*a - 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246938 is divided by 420.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -3, -5, 3, -4.\nAnswer: -5, -4, -3, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 62*a - 60*a. Solve -q - 2*q + 2*j = 11, -j = -a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or 2?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 42 - 3*q + 0*q - 2*q. Let z be o(8). Solve 0 = z*h + 6 - 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/10 - 2\/5. Let s be 304\/1710 + 4\/18. Is s at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3171356 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-1*1\/(-3)). Let s be m\/8 + (-3)\/(-2). Find the second derivative of 2*i**4 + i + i**3 - 4*i - i**s wrt i.\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3*r + 13767643*o**3 - 2*o**2*r + 445*o*r + 4130*o - 6*r - 1 wrt o?\nAnswer: 6*o*r + 82605858*o - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-12) - 153\/(-204)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237595067 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831 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 closest to 3 in 25, 7, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 less than -0.072?\nAnswer: 3.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829490 is divided by 5214?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 217563536*k**2 - 604638256.\nAnswer: 435127072*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -459*g + 366*g - 467*g + 16800 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(((sqrt(2448)*2)**2 - sqrt(2448)) + 0).\nAnswer: -36*sqrt(17) + 29381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 999668818518 - 5*l**2 - 999668818518 + 17*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -501.00000496 + 501. What is z rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 9740*h - 58448\/3.\nAnswer: 2*(h - 2)*(h + 14612)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-14\/9))\/(f\/(f*f**(1\/33))))\/(f**(-3\/2)*f*f\/(f\/(((f*f\/(f**(-21\/5)*f)*f)\/f)\/f*f))) assuming f is positive.\nAnswer: f**(-2093\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 7*j + 5*j)*(-59*j**3 + 30*j - 30*j).\nAnswer: -295*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -1606?\nAnswer: -1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12005, 12016, 12041, 12086, 12157, 12260?\nAnswer: 12401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*2\/(-4) - -1. Suppose v + s*q - 5 = q, -q = -3*v + 15. What is the remainder when 9 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*f - 4*f**3 - 3*f**2 + 241*f + 3*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3341 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -577 + 881. What is the greatest common factor of 57 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(3\/(-12)). Let u = w + 0. What is a in 1\/3*a**u + 1\/3*a - 1\/3*a**4 + 0 - 1\/3*a**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34093477313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - p**2 - 3*p)*(-29*p**2 + 4629 + 546*p**2 - 4629) + p**4 + 2*p**4 - p**4 to the form k*p + t*p**3 + l + n*p**2 + m*p**4 and give m.\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1254 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 989 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 q when four letters picked without replacement from uuuququqquu.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w - 5. Determine r(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 21*o**2 - 5*o. Let t(r) = 5*r**2 - r. Let p(n) = 9*t(n) - 2*z(n). Suppose 0 = 2*a - a - 1. Give p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvwz when four letters picked without replacement from vvkxvvezvvvwvw.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20657512*u**3 + 546627*u - 3.\nAnswer: 123945072*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1482 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-18) + 208088\/3. Suppose -5*d = -2863 + o. What is d rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j. Let y(t) = -70*t**2 - 4. Determine q(y(s)).\nAnswer: 140*s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**4\/5 + 1025362*g**3\/5 - 350455060104*g**2\/5 + 39926644084794208*g\/5 + 79854689998031744\/5 = 0.\nAnswer: -2, 341788","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8 - 20*d + 2*d + 0*d**3 + 13*d + d**3 - 4*d**2. Determine k(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b931 (base 13) in base 10?\nAnswer: -168533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1748985*l**3 + 625212*l wrt l?\nAnswer: -10493910*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328452 and 606?\nAnswer: 328452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-171) - (-33)\/(-54).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*n*y**2 - 147*n*y - 11*n - 894113*y**2 wrt n?\nAnswer: 9*y**2 - 147*y - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001386583831 to six decimal places.\nAnswer: 0.000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012661 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1171*c**5 + 396*c**3 + 21257420*c**2?\nAnswer: -70260*c**2 + 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*k = 2*k + 2, 5*k - 2 = 2*h. Let a(q) = -17*q**3 - 2*q**2 + 1. Let t be a(h). What is the greatest common factor of t and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1052772 and 2265?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3620 * -12424\nAnswer: -44974880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -38169950 from -971862.\nAnswer: 37198088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*w**3 - 2 - 16*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/4938 and 8\/4115.\nAnswer: 24690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 552761 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5287, 5282, 5241, 5146, 4979?\nAnswer: 4722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**5\/20 + 7*s**4\/12 - s**3\/3 - 19*s**2\/2 - 95*s + 50. Let a(u) be the first derivative of x(u). What is a(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -19*v - 140. What is the common denominator of -149\/36 and 3\/v*8\/(0 + 2)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 1. Let l(v) = -2*v**2 - 7*v + 1. Let f(o) = l(o) - w(o). Let k(z) = -4*z**2 - 11*z + 4. Suppose -6*t + 0*t = -18. Give t*k(j) - 5*f(j).\nAnswer: -2*j**2 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -78 - (-193 - -174)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 2. Suppose u*f = 13*f. Factor 8 - 3*o + f*o**2 - 2*o**2 - 4*o**2 - 2 + 3*o**3.\nAnswer: 3*(o - 2)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhfhfuufufufuuu. Give prob of sequence fff.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4. Suppose 0 = n*q - 67 - 28. Suppose 0 = 5*i - 3*c - 199, 4*i - q = -3*c + 124. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -31. Let q = -13 - -8. Let o = q - -4.9. Which is the nearest to o? (a) -2 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.57147kg in tonnes?\nAnswer: 0.04257147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 5*j - m, -5*m + 41 = 2*j - 8. Suppose 19*z = 16*z + j. Solve -z = -8*r + 11*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 14*x - 3 = 0. Calculate the least common multiple of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 0.01, 90, 2.9, -3, 1\/6 in ascending order.\nAnswer: -3, 0.01, 1\/6, 0.4, 2, 2.9, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.02286 times -410\nAnswer: 9.3726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 6*h + 7. Let i(l) = -l - 1. Let v(o) = 4*i(o) + n(o). Let u be v(-2). Let j be (-2911)\/(-994) - 2\/(-28). Put u, j, -2 in decreasing order.\nAnswer: j, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 4*q + 7. Let v(y) = 2*y**2 + 3*y - 6. Suppose -713*o - 14 = -717*o + c, 0 = 5*o - c - 18. What is o*r(s) + 5*v(s)?\nAnswer: 2*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 199d5 - -15?\nAnswer: 19a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:22 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c + 9. Let j = -8 - -6. Let g = 20197 + -20197.2. Sort j, g, c in increasing order.\nAnswer: c, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y**3 - 2*y**2 - 8*y + 23. Let j = -65 - -279. Calculate the remainder when j is divided by k(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3809 + 1273. Is (-1)\/4 + q\/(-32) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111111100110 + -100000010001?\nAnswer: 100011111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1103942 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 93*o**3 - 14*o**2 + 12*o - 1. Let i be f(1). Solve -i*p = -88*p - j - 7, -5*p - j = -21 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 25. Let k = d - 23. Let f = -2.7151 - -3.7151. Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129970 is divided by 1540?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -183626, 0, 222 in descending order.\nAnswer: 222, 0, -183626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147, 581, 1305, 2319, 3623, 5217, 7101?\n\"Answer: 145*m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45 + 11*k - 27*k - 69 + 17*k + 462*k**4 wrt k?\nAnswer: 5544*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 394164 and 12?\nAnswer: 394164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-2)\/8). Let t = 0.4 + -4.4. What is the smallest value in 0, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o = 10482 - 9792 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 744*m - 34596.\nAnswer: -4*(m + 93)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -660699 at most as big as -661440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-68)\/16 - -2)\/((-9)\/7320). Find the common denominator of -77\/2 and 6\/2 - s\/556.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2631212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 14 = -6*b, -b - 2*b + w - 6 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 859*v = 864*v - 4*h - 1945, -4*h - 1175 = -3*v. What is the highest common divisor of v and 1463?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 + 3250*n + 25680 = 0.\nAnswer: -642, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5094.11*7.5.\nAnswer: -38205.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15571 - -15362. Put r, 2, 17, -3 in increasing order.\nAnswer: r, -3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4148*o**4 + 1924 wrt o.\nAnswer: 16592*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*h + 10 = 0, 5*h - 12 = 579*s - 575*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -28. Suppose -4*h - 4 = -24. Calculate the remainder when h is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 7*j**2 + 777*j + 3172. Determine a(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -13.5?\nAnswer: 4.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 613*n**2\/2 - 630*n - 22. Find the first derivative of g(c) wrt c.\nAnswer: 613","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-4)*(-1)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 126617 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 15*p**2 - 27*p - 12. Give s(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j**4 - 376*j**3 + 1487*j**2 - 672*j + 81 = 0 for j.\nAnswer: -27, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*p**3 + 408*p**4 - 825*p**4 + p - 4*p**2 + 419*p**4 in the form z*p**3 + v*p**2 + l*p + f + b*p**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/3)\/((125475\/(-450))\/239)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p + 77. Let n be i(11). Round n to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -58 - ((2 - 0) + (-1 - -5)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/7 - 712*x**4\/7 + 41088*x**3 + 11515852*x**2\/7 - 287614*x\/7 - 1645020 = 0. Calculate x.\nAnswer: -585, -37, -1, 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728232?\nAnswer: 2, 3, 19, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**4 - 3*b**4 + b**4)*(20 + 111 - 19)*(-3 + 3 + 7).\nAnswer: -1568*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 30 - 1448*o + 5 + 1451*o. Let i be b(-10). Solve -p = -0 - i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9778391*l**2 - 3*l - 1660004?\nAnswer: -19556782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 95 + 2*j**2 + 2*j**2 - 93 - j. Suppose -4*g + 14 = y, 4*y - 7 = g - 2. Calculate the remainder when a(1) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6 - (5 + -1 - 6)*(-11940)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 7. Let m be b(-3). Let i(n) = 0 + 0 + 1. Let j(o) = o + 1. Suppose 0 = -5*r - 0*r + 5. Determine m*i(f) + r*j(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2768 - 2764. Do t and -15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q**3 - 3*q**2 - 2. Let w be p(-3). Let h = -44204 + 44206. What is the closest to 1 in w, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -127970, -255936, -383894, -511838, -639762, -767660?\n\"Answer: x**3 - 2*x**2 - 127967*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(102) + -6*sqrt(102) + sqrt(102) + sqrt(102) + sqrt(102) + sqrt(102))*-5)\/((sqrt(384)*6 - sqrt(384))*1).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577902191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 31*w**2 + 24*w - 288. What are the prime factors of r(20)?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 11. Let u be ((-27)\/q)\/((-2)\/((-64)\/(-12))). Does 5 divide 0 - -4 - (u + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3677 - -25689\/7. Find the common denominator of -71\/12 and c.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2253640660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 4:29 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.23 and 2.1.\nAnswer: 8.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 684*m**2 + 3*m*o + 23491*o with respect to m.\nAnswer: 1368*m + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-4 + 6)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13803 divided by 3.\nAnswer: 4601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20434, 40870, 61306, 81742, 102178, 122614?\n\"Answer: 20436*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 5*h**2 + 4*h + 8. Let v be j(6). Let y be ((-6)\/v)\/(4 - -2). Let m = -2 - -2. Is m at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60*19\/15960)\/((-2)\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48006151511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - (-103)\/20)\/(1938\/(-85)). Let k = 11855281209\/2584 + -4587957. Let h = k + q. What is the closest to -2 in h, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*i, -16 = 2*i - 6*b + 9*b. Put i, 4, 3, 1 in increasing order.\nAnswer: i, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 598*j + 4956. What is g(8)?\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/91 and 4 + 2 - (7336\/910 - 3)?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*g**2 + 209*g + 77593 wrt g.\nAnswer: 70*g + 209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246.93 + 246.43. Which is the third smallest value? (a) 4\/5 (b) 310 (c) -0.09 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4281114*z - 3562983*z + 2330382*z - 3306363*z.\nAnswer: -8820078*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(90)\/sqrt(3))\/(1*sqrt(160) + sqrt(160)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5\/9 - 213176*o**4\/9 + 5678795248*o**3\/9 + 90897393344*o**2\/9 + 159091545440*o\/3 + 90915302528 = 0.\nAnswer: -6, -4, 53302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(72\/51))\/(6 - 2410184\/401696) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 17 = -5*i, 17*i - 14*i - 7 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*a**3 + 26*a**2 - 26*a**2.\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4\/7 - 3*m**3\/7 - 27*m**2 - 729*m\/7 - 810\/7.\nAnswer: 3*(m - 10)*(m + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 4*f + 5818328 = 14702229. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 + 34*d**2 - 47*d + 18. Let v(t) = 4*t**3 - 17*t**2 + 22*t - 9. Let g(l) = -3*r(l) - 5*v(l). Let u be g(15). Solve -u*i = -10 - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/(270\/80)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/15*30\/21*735\/(-1260)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1151*k + 5400. Does 45 divide z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 11. Determine l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i**2. Let m(y) = -133*y**2 + 1648*y - 2. Determine m(w(a)).\nAnswer: -16093*a**4 + 18128*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = -4*p, 4*z - 6 = 2*p + p. Suppose -n - p*n + 3 = 0. Put -4, n, -5 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3\/4 - 318591*t**2\/2 - 3185973*t\/4 - 637197 = 0.\nAnswer: -4, -1, 212399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449819829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:06 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 7) in base 10?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -80, -77, -74, -71, -68?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (35\/126)\/((-113)\/((-10848)\/64))\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*v + 3*g, 5*v - g - 4*g = -5. Sort -5, v, -4 in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480*r + 205*r + 862*r.\nAnswer: 1547*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Suppose -2*d + n = -2*s, 5*d - 2*d = -5*s + 19. Is 12 a factor of 27 - (0 + -3 + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23609*l = -23972*l - 22143 for l.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/2 + -56 + 2. Let h be (-517)\/l - 3\/(-5). Calculate the greatest common factor of h and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j - 10*j - 14*j + 42*j - 100.\nAnswer: 7*j - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.067?\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462573667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.6 - -0.8. Let q = 6.399938 - n. Round q to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -465 - 2195. What are the prime factors of ((-4)\/(-5))\/((-8)\/a)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/13))**(-2\/33) assuming p is positive.\nAnswer: p**(-8\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 755340 by 4.\nAnswer: 188835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67 + 3162?\nAnswer: 3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13467604 and 1955?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2 and 13\/11486.\nAnswer: 11486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 1. Let p be s(-3). Solve -2*m - h + 7 = -0*h, 0 = -p*m - 3*h + 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048 take away 942?\nAnswer: -941.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-9))\/((-37)\/(-333)*(-4)\/(-2))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**0)**(-20)*v*v**(-2\/9)*v*v*v**(2\/15)*(v\/v**(-1)*v)**(-2\/109)\/(v\/(v*v**(1\/2))*v**(3\/5)\/v) assuming v is positive.\nAnswer: v**(-355553\/9810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmccmcccmccm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 1. Let s(c) = -7*c**3 + 5*c + 9. Let l be 16\/(-3) + -1*(-3)\/9. Let h(a) = l*q(a) + s(a). Differentiate h(u) wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaao when four letters picked without replacement from oaaaoaaaaa?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5543*f + 17099. Calculate w(3).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 11, 31021, -5, 5 in ascending order.\nAnswer: -5, -4, 2, 5, 11, 31021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*h - 2 - 5, 0 = 5*h. Let l = -11 + j. Let o = 4 + l. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -7. Let i(n) = -n**3 - 4*n**2 + n + 4. Let b be i(-4). Suppose -4*t + 4*y + 27 = 3, b = -4*t - y + 19. Solve 3*c - 7 - 6 = -t*w, w - s = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13029?\nAnswer: 3, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k = -27*k - 2, -h - k = 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/24 - (-1)\/(-20)*-5. Solve -3*u - 8 = -2*r, 5*r - 20 = q*u - 8*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72113625.\nAnswer: 3, 5, 23, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5 = -2*x + 9*f - 60, -2*f + 2110 = -105*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 548.\nAnswer: 5\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -399, -892, -1583, -2472, -3559, -4844?\nAnswer: -6327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-11) - (-10)\/(-55). Is (m\/(-6))\/(6\/666) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**4\/12 + 6*t. Let k(l) = -5*l**2. Let a(r) = 4*r**2. Let v(y) = -6*a(y) - 5*k(y). Determine x(v(h)).\nAnswer: -h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2660 (base 8) in base 13?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*y + 37 - 140 = 219. Let l(v) = -v**2 + 5*v + 1. Let g be l(4). What is the closest to g in y, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(8580\/(-72)))\/(2\/(-50)).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*y - 91*y = -2*f + 24, 0 = -4*y + 5*f + 109. Let p be 34\/(-30) + 16\/12. Let w = 3 - 2. What is the nearest to w in p, y, -4\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -24 - -34) + -18 + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgdgpm. Give prob of picking 1 d and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12975, -5, -2 in increasing order.\nAnswer: -5, -2, -0.12975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 276633, 276635, 276637, 276639, 276641, 276643?\n\"Answer: 2*q + 276631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 199.671939s?\nAnswer: 0.0023110178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 870 - 16 + 413 - 39*l.\nAnswer: -39*l + 1267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -414 and 242?\nAnswer: -100188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.044733793667 and 1646?\nAnswer: 1645.955266206333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -118. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.09 - 411.91. Let s = 412.7 + h. Which is the closest to -0.4? (a) -2 (b) s (c) 0.1 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -168.6 - -14.6. Let n = c - -154. Let z = 16 + -11. Is n != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.12 (c) 2\/57 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3852 and 18939.\nAnswer: 227268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 472844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n**3 - 5*n - 2. Let s(t) = 4*t**3. Determine -k(z) - 8*s(z).\nAnswer: -21*z**3 + 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 90400.\nAnswer: 3\/45200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**2\/2 - 35. Let t(f) = 30*f**2 + 2. Let m(v) = -v**2 - 1. Let k(r) = 2*m(r) + t(r). What is b(k(y))?\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-29 + 28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p + 1. Let f(n) = -22*n**2 - 6. Let g = 146 - 147. Let x(o) = g*f(o) - 3*h(o). Find the second derivative of x(j) wrt j.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -11 + 7 + -1 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1347610991 to the power of 1\/3, to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 - 18 - 269 = -55*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 36 = 3*a - 4*z, -2*z = -2*a + 18. Suppose 16*o - 288 = a*o. What is the highest common factor of o and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 - -96. Let o(n) = -n**3 + 5*n**2 + 7*n - 3. Let h be o(6). Let k be -3*1 + (h - -4). Solve -2*g - 16 = -2*r, -t*r + k*g + 28 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n. Let y = -3 - -6. Suppose 0 = m - y*m - 2. Is m < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -22. What is the closest to -32 in d, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/1510, 0, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107 + 456*n**2 - 106 - 426*n - 1187*n**2 + 213 wrt n.\nAnswer: -1462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 28837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18722\/(-2035))\/((-6)\/5).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + -1 + sqrt(539) + 5 + 1 + sqrt(539) + sqrt(539) + -5 + -1*sqrt(539) + -1 + -4)**2.\nAnswer: -28*sqrt(11) + 2155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47, 52, 57, 62?\n\"Answer: 5*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.17 + -2.17. Let j be 0*4\/(-8) + 0. Let m be (0 + j)\/(1 + 1). What is the nearest to m in c, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*y = 0. Suppose -3*m + m + 10 = y. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (180\/8)\/((-82)\/(-60) - (-740)\/5550)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 9. Let p = o - 6. Let s(u) = u**3 + 2*u**2 + u + 2. Give s(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9471.142 weeks in hours?\nAnswer: 1591151.856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1 + (8\/1 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67, -297, -689, -1249, -1983, -2897?\n\"Answer: -n**3 - 75*n**2 + 2*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-9)\/((-27)\/12). Suppose -w + 5*a = -0*a - 72, 2*a = c*w - 306. Let f = -68 + w. What is the lowest common multiple of f and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = q - 3, -3*z - 8 = -2. What is the units digit of q*3\/(-6) + (-9321)\/(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64.5 + -54. Let k = v + -10. Let q = -29 - -24. Which is the closest to 2? (a) q (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 416\/1437?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1346220735 and -32.\nAnswer: 1346220703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 42629*b - 1406826. Calculate y(33).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, 0.3, 3, -2\/13, -0.2, -1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/23035984 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/6 + 74*y. Let o(x) = -42*x. Let h(j) = 6*j. Let p(z) = 36*h(z) + 5*o(z). What is p(l(s))?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13546376?\nAnswer: 2, 43, 53, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 2*v = -2*b - 10, 6*v - 9*v = 6*b + 27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 43 = 5*u - 12, -3*u + 5*q - 30 = 0. Let f be (37 + u)\/4 + -4. Suppose n - 4*n = -f*z - 242, -3*z + 228 = 3*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 - 6*y**2 + y - 10. What are the prime factors of v(-7)?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117357*k = -117346*k + 429 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2721 + 8111*p - 5466 + 2748 to z*p + i and give z.\nAnswer: 8111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (-15)\/3 - 15. List the prime factors of (-208)\/t*(-105)\/(-14).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 - 1 = -5*t, t - 4*k = 4. Suppose z - 3*v - 22 = -t*z, -28 = -2*z + 2*v. What is the greatest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-10)\/(-4))\/(2 - 9\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*q + 31*q + 4097716. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112211 + 2002?\nAnswer: -110202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2)*(180\/(-30) + 2550\/426)?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259, 264, 281, 316, 375, 464, 589, 756?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -330*u**3 + 2*u**2 + 3*u + 2. Suppose 3 = 9*a - 12*a. Is c(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 1773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 - 741. Let q = -234 - w. Let v = q + -109.9943. What is v rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*y + 32, 2*y + 10 - 2 = 0. Suppose s = 3*t - 11*t. Let i(p) = -p**3 + 1 - 2*p + 2*p**2 - 6*p**2 + 0*p**2. Calculate i(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 25\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.8618907 and 40?\nAnswer: 18.1381093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - -7) + 11 + -38.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) -2\/41 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-3))\/((-6)\/6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -625\/4071 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23654116, -23654099, -23654082, -23654065, -23654048, -23654031?\n\"Answer: 17*d - 23654133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4 - 85*g**3\/8 + 9*g**2\/8 + 1089*g\/8 - 405\/8 = 0?\nAnswer: -9, -5, 3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39044563342013 and 2?\nAnswer: 39044563342011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/(n\/n**4)*n)\/n*n*n))\/(n\/(n\/n**10)))\/(n*n**(-2)\/n*n*n)**20 assuming n is positive.\nAnswer: n**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 2*d + 0 - 5\/6*d**4 + 0*d**3 + 1\/45*d**5 - 12*d**2. Find x, given that o(x) = 0.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(120)\/sqrt(5))\/(sqrt(108)*-1).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -2*f - 6, 2*p - 5*f - 4 = 0. Let s(h) be the first derivative of -41*h**2\/2 - 2*h + 2. Is s(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*g - 2 = 0, 4*l - 5 = -3*g + 2*g. Let w = 0.1057 + 0.2943. Which is the closest to l? (a) -5 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 12, 25, 44, 69, 100, 137?\n\"Answer: 3*j**2 - 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5365*b**3*u**3 - b*u**3 - 2859*u**3 + 1 wrt b.\nAnswer: 32190*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from moowoawoppwmwot.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 3*i + 91. Let n be q(8). Suppose -f - 22 - 8 = 5*l, 2*f + 32 = -3*l. Let x = 15 + f. Solve n = 4*r - x*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8470889964.\nAnswer: 2, 3, 37, 113, 167, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.41 + -0.05. Round b to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, j: 1, x: 1, i: 1, n: 1}. Give prob of picking 1 i and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 136*i + 410. What is the lowest common multiple of b(-3) and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 j when three letters picked without replacement from ejvin.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -82 + 80 + (-5 - 2\/2*-47)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 2700?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241650 = -14*s - 3*s + 4*y, -5*s - 3*y = -71061. List the prime factors of s.\nAnswer: 2, 3, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28952 - 17969. What are the prime factors of f?\nAnswer: 3, 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 27\/(3 - 0). Let t = 80 + -42. Calculate the remainder when t is divided by r - (-4)\/(16\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + u**4 - 4 + u**4 + u**2 - 2 to the form j*u**4 + z*u**2 + l*u + b*u**3 + w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {y: 2, p: 1, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -910.\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(10\/(-4) - -2). Let z = j - -8. Find the first derivative of -2 + z - 2*g**3 + g**3 wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32d54 (base 14) to base 15\nAnswer: -2683d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -106\/7, -3, 0.3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 878*j**4 + 2*j**3 - 120*j - 2 wrt j.\nAnswer: 10536*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -7521990 = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**7\/2520 - v**6\/720 - v**4\/3 - 4*v. Let f(z) be the third derivative of y(z). Find the second derivative of f(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = 6, 0 = t - 2*f - 74. Suppose t = 4*g - 0*g. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 133*n - 5593. Let u(h) = 7*h - 294. Let c(r) = 4*t(r) - 77*u(r). Let s be c(34). Solve 13*p + 24 = -s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29884, 29883, 29882, 29881, 29880?\nAnswer: 29879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*f**2 + 139*f**2 + 67*f**2)*(-2*f - 4*f - 1 + 4*f).\nAnswer: -278*f**3 - 139*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + t**2)*(-6*t**2 - 24*t + 24*t)*(2*t - t + t).\nAnswer: -12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + -111*(-14)\/105)\/(((-18)\/15)\/3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*r + 5*r - 22, -2*b + 5*r - 3*r + 14 = 3*r for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 17*d - 35 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 47*d + 68. Let n be b(22). Solve -n*u = -2*y - 6, 2*y - 5*u + 6 + 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201102 (base 5) to base 2.\nAnswer: -101011000001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/4378928 and -47\/15152?\nAnswer: 4378928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose -34 = p*j - 174. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45167170*u**2 + 23933*u - 174 wrt u.\nAnswer: -90334340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 66 = -c - 13, -19*c + 16*c + 3 = -b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -14. Find the third derivative of -s**3 - s**2 - s**i - 4*s**3 + 0*s**2 wrt s.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 3. Is g(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((-1185)\/711)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*(-2*sqrt(130) - sqrt(130)) - sqrt(130))\/sqrt(10))*-1.\nAnswer: -14*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*f + 17, 5*x = 10*f + 890 - 835 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2936642, -120.\nAnswer: -2936642, -120, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.49896 - 0.50104. Let f = -12 - -69. Is s smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let m = -35 + 40. Which is the nearest to -1? (a) m (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (0 + -49 + -3 + 25 + -19)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26058 - -9?\nAnswer: 26062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 1689, 3319, 4987, 6705, 8485, 10339?\nAnswer: 12279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125632981 is divided by 25126596.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbaxvaboo. Give prob of picking 2 o and 1 t.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12341 and -0.34303725?\nAnswer: 12341.34303725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -12. Let w(g) = -g**3 + 6*g**2 - 3*g - 3. Let v be w(4). Let s = 13 - v. Which is the smallest value? (a) -3\/8 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*g - 3*g. Let o(k) = 2*k**2 + 3*k + 1. Let f be o(g). Let w(r) = -4*r - 3. Let u be w(-2). What is the highest common factor of u and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04737 and -59195.\nAnswer: -59194.95263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z**3 - 10*z**2 - 16*z - 21. What is the units digit of u(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-13) - 31\/403*-1264 - (5 + -9)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24092405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -1 - (-10 - (11 - (6 - -4)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1706850 and 4275.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 607 = 38*k - 647, 4*w + 3*k - 95 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 908, -3, 1 in increasing order.\nAnswer: -3, 1, 908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*u**2 + 128*u**2 - 45*u**2 + u**2 - 44*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2239*m**2 - 2519*m + 5072 + 1058*m - 2*m**3 + 1455*m**2 - 1382 - 5921*m = 0.\nAnswer: 1, 1845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32563*k**6 + 6*k**5 - 2*k**3 - 25*k**2 - 71*k - 2 wrt k.\nAnswer: 3907560*k**3 + 360*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(1 + 2 - 4)*(0*g + 0*g + 2*g)*(43 + 10 + 13)*(4 + 3 - 5)*(-g - 4*g + 2*g) in the form u*g**2 + l + v*g and give u.\nAnswer: 1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.038, 5\/2, -0.03, -5, -4\/3 in decreasing order.\nAnswer: 5\/2, 0.038, -0.03, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + 514. Let p = n + -609. Sort p, -1, -3, 96 in ascending order.\nAnswer: -3, -1, p, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5 - (-5 + (-280)\/(-75)). Let s = 0.02 + -0.05. Let p = 0.13 + s. Sort -7, p, b in ascending order.\nAnswer: -7, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1968 and 906.\nAnswer: 297168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67615019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 2, l: 10}. Give prob of sequence all.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 3466*f**2 + 123692*f + 120224.\nAnswer: -2*(f - 1768)*(f + 1)*(f + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -17*h + 783. Suppose -67 + h = 4*j. Suppose -8*s + j = -3. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2156.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 (base 13) in base 14?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154786095109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 6*k**3 + 10*k**3 + k**3 - 12*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let f(v) = 3271*v. Calculate x(f(t)).\nAnswer: 6542*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 575 = -19*n - 26*n + 88 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.94 - 1146.06. Let n = f + 1369.7. Let x = n + -208. What is x rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 + 69*q - 46. Calculate b(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**3\/3 + 11*a**2\/2 + 11*a + 6. What are the prime factors of u(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 4*b**2. Let o(x) = -x**2 - x**2 + 4 - 2*x - 11*x**3 - 5. What is the lowest common multiple of w(-3) and o(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 0.5, -0.07, 5\/4, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97062296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -5\/2*k**2 + 1\/12*k**4 + 0 + k - k**3. List the prime factors of s(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 20*z + 12. Let d be q(6). Suppose u + 3*a + 8 = d, 3*u + 4*a - 8 = -u. Let p = u - 8. Sort 2, -5, p, 5.\nAnswer: -5, p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0598, -3, 11\/3, -1, 594?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8afe6 (base 16) to base 5.\nAnswer: 121204233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -303\/4 (b) -0.2 (c) 1\/6 (d) -2\/13 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(2\/11)\/h)*h**(-2\/15) assuming h is positive.\nAnswer: h**(278\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -s + 7, -223*l + 224*l - s - 5 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14357861 is divided by 1363?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67930 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose -f = -k*f. Solve -3\/2*b**2 + f - 3\/2*b = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*b + 20, 2*b + 3*x - 2*x = 10. Suppose 3*z - 24 = 5*q + 6, -b*q - 5*z = -13. Let p(g) = -6*g - 4. Does 7 divide p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78204875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1 - (9 + (-4 + 14 - -35) + -6)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36717 - 101837 = -29*a + 318979. What are the prime factors of a?\nAnswer: 3, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1039 and 1110 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(-2*h + 2*h + 2*h) + h - 2*h + 0*h + (2*h - 3*h - h)*(-21 - 6 - 6) as v*h + d and give v.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, g: 4, a: 9}. Give prob of picking 4 a.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + f = 3, -704*v - 5*f = -704*v + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -32*g + 4. Let u be a(2). Let s = 63 + u. Let x**2 - 4*x**4 + 5*x**4 + 2*x**4 - 2*x**4 + 2*x**s = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84421 - 84410 - ((1 + 13 - 2) + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*u - 1 + (4*u - 2*u + 0*u)*(3 - 1 - 4) - 2*u + u + 6*u)*(-29 - 22 + 36) in the form o + b*u and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**26*s*s**15)\/(s*s\/s**(9\/8)*s\/(s*s\/(s\/(s**34*s)))*s) assuming s is positive.\nAnswer: s**(201\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 914.0206 millilitres?\nAnswer: 0.9140206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 7*l**2 + l + 7. Let f be x(-7). Suppose -s - 1219998 = m, -2*m + 3*s = -f*m + 2440006. What is m rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 264544?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 717*g**5 + 2*g**4 - g**3 + 86*g**2 - 4*g - 100.\nAnswer: 43020*g**2 + 48*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(-15) - -4*2. Does 14 divide (n\/(-10))\/(9\/(-4320))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 415. Let r(j) = 5*j. What is c(r(m))?\nAnswer: -10*m + 415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ffyyzyyzy?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c - 4*o - 180, 0 = -2*c - o + 185. Suppose -4*r + 116 = -c. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53573 - -115286. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1fc83 (base 16) to base 10.\nAnswer: 130179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 127*f - 23. List the prime factors of m(3).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2477 + 2068. Suppose 5*u - 3*c - 55 = 0, -5*u + 20 = -0*u + 4*c. Suppose u*m = -m + h. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5408 and 67600?\nAnswer: 135200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267948 divided by -9.\nAnswer: -29772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 86 (b) -189 (c) 1\/6 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1842*d**3 + 3681*d**3 - 1837*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3024 + -3024.5. Sort -1\/5, 45, d in descending order.\nAnswer: 45, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3769.285 to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -111011111001001010110110 (base 2) to base 5\nAnswer: -13004410122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 7\/6*o**3 + 1\/8*o**4 + 0*o - 5*o**2 + 0. Let v(t) = -1. Give -c(p) - 6*v(p).\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 - 11)*(0*n**3 + 5*n**3 + 3773*n - 3902*n) as o*n**3 + v + c*n**2 + d*n and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:12 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 192786248*l**2\/13 + 10878344*l\/13 + 153458\/13 = 0.\nAnswer: -277\/9818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -47281, -94550, -141807, -189052, -236285, -283506?\n\"Answer: 6*k**2 - 47287*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/4)\/((-44)\/4312). Suppose 35*b - c*b + 56 = 0. Solve -5*r + r + b*t - 24 = 0, 4*r = 3*t - 19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/450 + 25*j**4\/18 + 496*j**3\/45 + 7889*j**2. Solve z(w) = 0 for w.\nAnswer: -248, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36, 58, 92, 144, 220, 326?\n\"Answer: x**3 + 15*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*p + x - 0, 15 = -3*p - 3*x. Let n(l) = 4*l**2 + l - 6. Suppose 3165 = -76*m + 2633. Let a(t) = -13*t**2 - 3*t + 19. Give m*n(f) + p*a(f).\nAnswer: -2*f**2 - f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*x = 1580, 2*x + 948 = 3*z - x. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -355, -349, -339, -325, -307?\n\"Answer: 2*w**2 - 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 358 (b) 2\/16519 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*s**4 + 7*s**4 - 22*s**4 + (2*s**3 - 2*s**3 + 5*s**3)*(-3 + 3 - 3*s) as k*s**3 + n + a*s**4 + q*s + i*s**2 and give a.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 + 14 = 0. Suppose t*d = -d + 18. Let q = d - -1. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-297*q**4 + 537*q**4 - q**2 - 367*q**4)*(-2*q - 3*q + 4*q).\nAnswer: 127*q**5 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*r, 5*r = -18*y + 23*y - 239245. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444450 - 140438 = 20695*o - 5730*o + 73572 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42.07873 + -0.07873. Which is the fourth smallest value? (a) v (b) -5 (c) 1\/5 (d) 3 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33177998 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -83965.3\nAnswer: 83968.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31771156 to the nearest integer?\nAnswer: 5637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 4*u + 51. Let f be q(-9). Suppose -f*k + 104360 = 2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from pkpppppkkuupukkpk?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48395 and -3?\nAnswer: 48392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27\/20 + 7\/5. What is the common denominator of 55\/36 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88121*v + 369338*v**3 + 88121*v.\nAnswer: 369338*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -71020146 minus -6?\nAnswer: -71020140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1202745 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11960, -23939, -36014, -48233, -60644?\nAnswer: -73295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z + 3*z**2 + (3*z - z - 3*z)*(z - 4*z + 2*z) - 2*z + 2*z - 8*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/7)*y*y\/(y\/y**(-4\/11)))\/((y\/y**11)\/y*y*y\/y**(-1\/12)) assuming y is positive.\nAnswer: y**(8959\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 30*v**3 - 3*v**2 - 3*v. Let f be (-22)\/(-11) - 6 - (-1)\/(-2)*-2. Let o(h) = 60*h**3 - 7*h**2 - 7*h. Calculate f*o(p) + 7*n(p).\nAnswer: 30*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3192?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from gggvvvvggvgggvgvggg?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32731.\nAnswer: 71, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from aubaaaubyuauaaaa?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.3, -7\/6, -4\/43, -2\/5 in descending order.\nAnswer: 0.3, 0.2, -4\/43, -2\/5, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 + 42. Let g be ((-14)\/(-10))\/((-38)\/i)*4. Solve 0 = 3*m + 4*t - g, t - 4 = -5*m + 4*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 38*q + 336. What is c(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57820556351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + k**2 + k)*(-k + 2 - 2) + (0 + 3 + 3)*(7*k**3 - 3*k**3 - 2*k**3) + 3*k**2 - 3*k**2 + 9*k**3 to m*k**2 + b*k + t + n*k**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*u + 40 = 138*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -444 in -131, 41, 3?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/8))**47 assuming b is positive.\nAnswer: b**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 273 + 39 - 5*b + 8*b + 0*b - 4*b to the form d + m*b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k + 6 = 0. What is the third derivative of 5 + 4*x**6 - 3 - k*x**2 - 2 wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 0*z + 3*z)*(4*z - 4*z - 3*z)*(-3*z + 4*z + z) in the form h*z**3 + d*z + p + s*z**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.94 - -3.64. What is the nearest to -1.3 in -2, -0.1, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 2, 8, 3 in decreasing order.\nAnswer: 68, 8, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1263, -0.2, 2\/35, -2 in ascending order.\nAnswer: -2, -0.2, 2\/35, 1263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 12*f + 2*f - 15*f - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 2*d**2 + 27\/40*d**5 + 3\/40*d**6 + 81\/8*d**3 + 0 + 1\/280*d**7 + 27\/8*d**4 + 0*d. Factor v(f).\nAnswer: 3*(f + 3)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 211*h**2 - 250*h + 2382. What is i(-69)?\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n + 19. What is y(-4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -5*m**3\/6 + 41*m. Let g = -15 - -20. Let v(p) = -6*p. Give g*t(c) - 4*v(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13892 is divided by 2289.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 625 - 51. Calculate the highest common divisor of 28 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1107, -1208, -1181, -1002, -647, -92, 687?\nAnswer: 1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 4*m**2 - 119*m + 14. Give f(6).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70144866 and 2125602?\nAnswer: 70144866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbbnnb. What is prob of picking 3 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56428 take away -15?\nAnswer: 56443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1407 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226 + 26?\nAnswer: 3252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -9 - (-5)\/(-70)*68.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.666 and -3741?\nAnswer: 17455.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1774001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 829 divide 160947144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m + 111418 + 414*m**2 - 110870 + m wrt m?\nAnswer: 828*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2 + (0 - 5 + 4)*(-2 - 2 + 2) + 0 - 2 + 3 - 2 + 2 - 3)*(1 - 1 - 2*s) to the form c*s + u and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let c(b) = 231*b + 390*b + 126*b + 37*b. Give o(c(l)).\nAnswer: 1568*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/3*1)\/(-2). Let z(l) = -l**2 + 7*l + 3. Let u be z(7). What is the third derivative of -2*j**3 - 4*j**2 + q + u*j**3 - 1 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3 (c) 4 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163370110.\nAnswer: 2, 5, 2393, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 6. Let u(s) = 4*s**2 + 2*s + 5. Let a(t) = -9*t**2 - 5*t - 10. Let z(q) = 3*a(q) + 7*u(q). Give 3*o(l) + 4*z(l).\nAnswer: l**2 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*o + 11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*5\/(-10)*232\/(-6). Let i = 305 + b. Which is smaller: i or 74?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -174 (base 9) to base 3.\nAnswer: -12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -1745781209?\nAnswer: 1745781212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by -6414?\nAnswer: -27\/2138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5219501 is divided by 16060.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 161 + 355 - 130.\nAnswer: 2*d + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 288241081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3*2\/9)\/((-260)\/156)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1232, 10553, 36010, 85667, 167588, 289837, 460478, 687575?\n\"Answer: 1344*u**3 + 4*u**2 - 99*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -2*r + 8. Let k be 5\/(((-4)\/2)\/r). Suppose -k*b + 5 = -25. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*x - 5*a - 62, 4*x - 48 = 4*a. Suppose -7*q + x = -8*q + 3*i, 2*q - 4*i + 10 = 0. Let f = 11 - 6. Solve q = -f*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 4*n**2 - 4*n - 14. Let a(b) = b**3 + 5*b**2 - 3*b - 14. Let v(w) = -5*a(w) + 4*z(w). What are the prime factors of v(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -14*i - 138. Let y be f(11). Let h = 517 + y. What is the highest common divisor of 25 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y + y + 2*y - 4*y + 13 as q + v*y and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0 - 4. What is the common denominator of -5\/22 and (f\/(-12))\/((-180)\/(-972))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1295511 take away -0.58?\nAnswer: 0.4504489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 66 + 67 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -0.3. Let z be 2*-1 - (-11)\/4. What is the closest to j in -3, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3932 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: Let s = -0.4512 + 23.0812. Let j = s + -32.665. Let p = -0.095 - j. What is p rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + (3 - 3) + -13)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = k - 4. Let i(a) = 31*a**2 + 4*a + 2. Let t be i(-3). Suppose -6*h = -t + 11. What is the remainder when h is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -270.31863?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1253*k**2 - 1. Let i be r(1). Let f = -74 - -169. Does 5 divide (i\/f)\/(3\/((-15)\/2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9, -3, 170.892?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/k*k*k**14)\/(k**(-3\/10)*k**0*k))**(-2\/91) assuming k is positive.\nAnswer: k**(-261\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*c + 9, c - 4*a - 12 = 6*c. Suppose c = s - 2*s + 8. What is the least common multiple of 14 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -20. Suppose -f = -7*t + 6*t. Let 2*v**3 - v**3 + 3*v - t*v - 2*v = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -150 - 340. Suppose -50*z = -h*z - 23. Calculate the remainder when 64 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2563\/233 - (-3 + 84)\/3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 4*f + 95 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 2:00 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -13\/2*w**4 + 0*w + 0*w**2 - 43*w**3 - 42. What is the third derivative of s(k) wrt k?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 1. Let v(k) = 12*k - k + 1 - 13*k. Let b(j) = -j**3 + 6*j**2 - 6*j + 10. Let w be b(5). Let c be (4\/w)\/((-4)\/30). Give c*u(n) + 5*v(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108312828 to the nearest integer?\nAnswer: 10407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 22 = -2*g - 6, 0 = -g - d - 2. Solve r + 1 = -4*a, -4*r + g*a - 22 = a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31840 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 18, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1260 and 1452?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-1) - -8)*5. Let j = -12 + 24. Let r be j + (2 + 1 - 5). What is the greatest common factor of r and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 282, 562, 842, 1122?\n\"Answer: 280*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13471 is divided by 107.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 30. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 48157 = -10223. List the prime factors of f.\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11870622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 4, a: 1, b: 3, q: 5, d: 1}. What is prob of sequence abb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137554, 137527, 137490, 137449, 137410?\nAnswer: 137379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.2 (b) 20185 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 3*y**2 - 3*y + 10. Let z be p(3). Let b = -785\/3 + 11773\/45. Which is greater: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 32 - 15)*(2*q - 2*q + 2*q)*(-2*q + 4 - 4).\nAnswer: -220*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(17) + (sqrt(17) - (sqrt(102)*1)\/sqrt(6)))*-5 - ((sqrt(204) + 3*-1*sqrt(204) + sqrt(204))\/sqrt(12))**2).\nAnswer: -30*sqrt(17) - 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -184*q + 3332. What is k(18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (14 + -8) - 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 5375.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13000 - 3321?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9806?\nAnswer: 2, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 + 7*b + 1. Let h(a) = -11*a**2 - 14*a - 3. Suppose 141 = -24*n + 71*n. Determine n*h(g) + 7*z(g).\nAnswer: 2*g**2 + 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12167181*g*k**3 - 16*g*k**2 + 4286303*k**3 - k**2 + 59*k wrt g?\nAnswer: -12167181*k**3 - 16*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9772?\nAnswer: 2, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 13*y + 3. Let t be h(-6). Suppose -6 = -3*n - 3*a, -33 = -4*n + 4*a - t. Solve 1 + 3 = -n*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khhk when four letters picked without replacement from {k: 18, h: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 1, k: 1, m: 1, v: 1, i: 1}. What is prob of picking 1 n and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15818 divided by -323.\nAnswer: 15818\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1690, -1595, -1430, -1189, -866?\nAnswer: -455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*g**2*m - 5*b**2*g*m*q**2 - b*g**2*q**3 - 5*b*g*m*q**3 + 6*b*m*q**3 + 450*g**2*m*q - 2*g*q**3 wrt g.\nAnswer: 2*b**2*m - 2*b*q**3 + 900*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/((-2)\/10*-10*1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49750 and 32250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-9)*(-3)\/2. Suppose -4*p + 0*p = -m. What is the lowest common multiple of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + (-102)\/63)\/((-60)\/(-70)). Let r = 133 - 132.6. Sort c, -11, r in increasing order.\nAnswer: -11, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 442049982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -769416*x + 61 - 34 - 27.\nAnswer: -769416*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2457274*i**3*y*z**2 + 2*i**3*y*z + 4*i**3*y - 23*i**3*z**2 + i**3 + 66*i**2*y + 407*i**2*z + 2*i - 4 wrt z.\nAnswer: -4914548*i**3*y - 46*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6305961 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -13855.0514.\nAnswer: -13855.4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 - 9 + 0*q - 5*q - q**3 + q + 18*q. Let p be b(7). Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20580 = 3*a - 24*a. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + -8)\/34 + ((-3138)\/(-170) - 18). Let u be ((-2)\/9)\/(0 - 1). Which is the closest to -22? (a) u (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74, -151, -228, -305, -382?\n\"Answer: -77*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/21))\/n**(1\/47)*n**(-3\/10)*n*n\/n**(-32)*n)**(-48) assuming n is positive.\nAnswer: n**(-2820952\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/27 - (-19195572)\/1782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 320 - 640 + 324.\nAnswer: 2*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Suppose i = 6*g - g. Suppose 0 = u - f + 1, -5*u = -0*u + 4*f - 22. Solve 3*d - d + u = g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*21\/35 + (-1602)\/(-270) + -6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -88, -172, -256?\n\"Answer: -84*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3\/4))\/(d\/(d\/(d\/(d\/d**4)))))**13 assuming d is positive.\nAnswer: d**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3\/7 + 8*l**2 - 96*l\/7 = 0?\nAnswer: 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -13*t**3 + 71*t**2 + t + 46. Give v(5).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*v - 2. Calculate the remainder when 21 is divided by (0\/v - 1)*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100.915508 + -100.9. Round j to 4 decimal places.\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**8\/4200 - d**7\/1050 + d**5\/150 + d**4\/60 - d**3\/3 + 6*d + 21. Let x(a) be the third derivative of h(a). Factor x(q).\nAnswer: -2*(q - 1)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k - 15. Let w(q) = -8*q - 7. Let j(a) = 6*h(a) - 13*w(a). Let y(v) be the second derivative of 7*v**3\/6 + v**2\/2 - 4*v. What is 6*j(t) - 7*y(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 13706?\nAnswer: 13712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(3 - 2)*2\/(-4). Suppose -9*k + 3*k + 876 = y. Is 24 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -312 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + 2) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6192436743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*i*x*z**3 - 63*i*z**3 + 20868*i + x*z + 3553*z**3 + 1271*z**2 wrt z.\nAnswer: 480*i*x - 378*i + 21318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*k = 62*k - 121*k + 5817 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(12\/(-130)))\/(-13*2\/(-78))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.029 (b) -86 (c) -2 (d) 18 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3526432 + 4?\nAnswer: -3526425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xaax when four letters picked without replacement from {o: 3, a: 2, x: 5}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 8.1, 1\/4, -4 in descending order.\nAnswer: 8.1, 0.3, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5516.651*-0.5.\nAnswer: 2758.3255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92831830 and 3640.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -806 - 162?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 greater than or equal to 1533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3199?\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - 2. What is r(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4185, -4205, -4239, -4287, -4349?\n\"Answer: -7*z**2 + z - 4179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*v**4 - v + 115*v**4 - 4*v**2 - v in the form j*v + s*v**2 + x*v**4 + o + w*v**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -129. Find the third derivative of 31*j**v + 37*j**2 + 2*j**3 - 27*j**2 - 33*j**2 wrt j.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 36)\/((-3)\/(-4)). Let p be (k\/40)\/((-2)\/(-5)). Solve 23 - p = -5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 27*i**2 - i. Let s(o) = -318*o**2. Calculate q(s(t)).\nAnswer: 2730348*t**4 + 318*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j + 3. Let k be r(7). Suppose 4177 = -82*c + 1717. Is k less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 3:21 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -9*r**3 + r**2 + 2*r. Let z be m(7). Is 3 a factor of z\/(-72) + (-4)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*i = -2. Suppose -j + 5*h = -1029, j + 3*h - 3051 = -i*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4\/11 - 50*h**3\/11 - 2440*h**2\/11 + 62520*h\/11 - 279072\/11 = 0. Calculate h.\nAnswer: -36, 6, 17, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*m = -2*d + 104, 0 = -5*d - 5*m + 125. Suppose 0 = d*p - 27*p + 550. Suppose 0 = 2*k + 3*s - 2*s - 58, s + p = 4*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l + 18. Let u be v(0). Suppose u = 3*d + 3*k, -3*k = -3*d - 0*d - 6. What are the prime factors of (3 - -23) + d - (1 - 2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 320*m**2 + 974*m + 652.\nAnswer: -2*(m - 163)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - b = -3*b - 28, 2*d + 8 = -4*b. Let l = 6669 + -6651. Solve l = -d*z + 22 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2838689 rounded to the nearest ten thousand?\nAnswer: -2840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32\/55 or -0.16?\nAnswer: 32\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, v: 10}. What is prob of picking 4 v?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2728.555 micrograms to grams.\nAnswer: 0.002728555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y**3 - 5*y**2 + y + 2. Let z be g(3). Suppose 3*b + z = 4*b. Calculate the greatest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 18*s**2 - 19*s + 18. Does 29 divide f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 3*w**3 - 3*w**2 + 0*w**2 - w**3 - w**3 + 0*w**3 + (w + 0*w + 0*w)*(2*w**2 + 3*w**2 - 6*w**2).\nAnswer: -5*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 110?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g + 64. What is the remainder when n(10) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000715583919 to seven dps.\nAnswer: 0.0007156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32206317 (base 8) to base 6.\nAnswer: -403320543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4845 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 248 = -4*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(0 + 0 + u) + (-90*u + 1 + 1 + 71*u)*(-1 + 2 - 2)*(-42 + 26 - 47) to l*u + w and give l.\nAnswer: -1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -3. Let z = 128 + -89. Suppose -z = -5*q + j. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-236)\/6*(-6)\/2. Let n = x - -18. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 times 16.0456\nAnswer: 1957.5632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5560 and 90072?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154 + i + 309 - 20 + 65 - 13 to f*i + z and give z.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 15.\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1*-2*(-3)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, 1710, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l - 29. Let t(i) = i**2 + 4*i. Let s(n) = 8*n. Let j(b) = -3*s(b) + 6*t(b). What is j(g(k))?\nAnswer: 96*k**2 - 1392*k + 5046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -2\/9 (b) 4 (c) 0.2428 (d) 2\/7 (e) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180559\/4563 + -1066\/27. Let s = r + -2\/169. Let a = 0 + 1. Is a less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9214 - 6041. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5156.43cm to meters.\nAnswer: 51.5643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -278 times 104.5?\nAnswer: -29051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 80 = -2*l + g, 0 = -4*g. What is the highest common factor of l and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 2, j: 4, u: 2, b: 1, w: 4, t: 7}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**43)**34\/(k*k\/(k\/(k*k\/k**(-2\/3)*k)*k)*(k*k\/k**(1\/5)*k)\/k*(k\/(k\/(k*k**0)))\/k**(1\/5)) assuming k is positive.\nAnswer: k**(-94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 4*m**2 + 3*m - 2. Let o(n) = n**3 + 8*n**2 + 7*n - 5. Let l(s) = 5*k(s) - 2*o(s). Factor l(q).\nAnswer: q*(q + 1)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03769 and -0.01.\nAnswer: -0.04769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*y**3 - 189*y**3 - 182*y**3 - 182*y**3 + 739*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + -16 + 12 - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6*(5 + -3)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2988 divided by -2\nAnswer: -1494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:22 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 1, 3 in descending order.\nAnswer: 22, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -1, 4, -3, 8170 in decreasing order.\nAnswer: 8170, 4, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(sqrt(448) + -1 + sqrt(448)) + -4)**2.\nAnswer: -384*sqrt(7) + 28681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13943 + -13864. Calculate the remainder when 107 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 4)\/((-2)\/(-36)). Let n be (-1)\/(-6) - 3\/s. Solve -2*r + 5 + 3 = n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1111 + 1.2.\nAnswer: 1.3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 0*d**2 + 0 + 3*d - 3\/10*d**5 + 0*d**4 + 1\/2*d**3. What is the second derivative of z(r) wrt r?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 119874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 5*m**2 - 1\/20*m**5 + 0*m**3 - 1\/24*m**6 + 0*m**4 + 0 + 0*m. Find the third derivative of a(p) wrt p.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 11) in base 5?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12148 - 16360 = -609*h + 800 - 1903 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/21 + 166*y\/7 + 500\/21 = 0. What is y?\nAnswer: -1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aza when three letters picked without replacement from {a: 5, o: 2, z: 2}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 235556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555353119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13671 - 6821. What are the prime factors of d?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308 and 1105956?\nAnswer: 85158612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 68*u**2 + 265*u + 157. What is the tens digit of v(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -1 + (-1205 - -1163) - 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(-5)\/105?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*a + 141*a + 490*a**2 - 76*a.\nAnswer: 490*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(68)\/sqrt(4))**2 - (-5 + (sqrt(17) - sqrt(85)\/(-4*sqrt(5)))).\nAnswer: -5*sqrt(17)\/4 + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9818, 19636, 29454, 39278, 49114, 58968?\nAnswer: 68846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19809*k**3 - 1722*k**2 - 2*k wrt k.\nAnswer: 118854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -19*d**3 + 5*d**2. Let m(k) = -28*k**3 + 8*k**2. Give -5*m(u) + 8*r(u).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1024 + -11231?\nAnswer: -10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 2, e: 1, j: 5, x: 1, o: 4}. What is prob of sequence bjx?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, y: 5, f: 1, s: 3, e: 7}. What is prob of picking 1 o, 1 s, and 2 e?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -19. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 158644?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(119)\/(sqrt(7) - sqrt(252)) - (5 + sqrt(272) + sqrt(17) - (sqrt(17) + 0 + sqrt(2057) + sqrt(17)))**2).\nAnswer: -1113 + 399*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2122011012222 (base 3) to base 13.\nAnswer: 3a0652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 232 = 3*y, 2*y - 2*r + 20 = 160. Suppose -o + 5*b + 0 = -7, 0 = 2*o - b - 41. What is the remainder when y is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*h + 5*h - 12. Suppose 3*v + 32*v = 70. Put -8, 5, v, h in decreasing order.\nAnswer: 5, v, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27820 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37\/2 or 1\/64?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwhhw. What is prob of sequence hhww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16632, 66435, 149408, 265545, 414840, 597287?\nAnswer: 812880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 4. Let d(f) = -f. Suppose -3*v + 3 = -0. Determine v*s(w) - 2*d(w).\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m + 2*m)*(9*m + 345*m - 88*m)*(-5 + 2 + 2).\nAnswer: -266*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:36 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 - 114. What is the remainder when s is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from pojyoyvq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2320528.6745 and 2.486.\nAnswer: -2320526.1885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8210 and -0.1.\nAnswer: 8209.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -28. Suppose 5*f = 4*g - 28, -2*g + 10 = -5*f - 14. Let k(t) = 1 - g*t + 0*t + 0. Calculate k(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 - 210*y**4 - 565*y**3 + 780*y**2 = 0. Calculate y.\nAnswer: -39, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 5*m - 9. Let v be t(6). Suppose 13*k = 17*k - 4. Suppose 9*q - 2*b = 7*q + 12, 0 = -4*q + 3*b + 27. Sort v, k, q in descending order.\nAnswer: q, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 784*p + 75269. Let x be c(-112). Find j such that 7*j**4 - 20\/3*j**x + 100\/3*j**3 - 8\/3*j + 18*j**2 - 1 = 0.\nAnswer: -1, -1\/5, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 408*g**3*p*s**3 - 79*g**3*p*s - g**3*s**2 - 2*g**2 - 125357*g*p*s**3 wrt g.\nAnswer: 2448*p*s**3 - 474*p*s - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 16*l - 6*l)*(0*l**2 - 4*l**3 + 0*l**2).\nAnswer: 68*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(5 + (-51)\/9). Suppose 19 = j - h*s, 0 = -3*j - 2*j + 3*s + 27. Let a(u) = -u + 11. Let d be a(5). Solve 3*y = 3*m - d, -j*m - 11 = 2*y + 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/2 + 1085*v - 226752 = 0. What is v?\nAnswer: -2362, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 4\/4)\/2. Suppose t = -2*f - 0*f + 5*d + 41, -f + 43 = 2*d. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002641279 to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-92) + 405\/(-30) + 12.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.605071246 rounded to 2 dps?\nAnswer: -5.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5369520 = 100*l + 57*l - 37*l. What is l rounded to the nearest 100?\nAnswer: 44700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 6:17 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1671705110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34066, -34011, -33968, -33937, -33918, -33911?\n\"Answer: -6*f**2 + 73*f - 34133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 152?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*o = -50, 2*o + 59 + 42 = 5*r. List the prime factors of r*1 + 14\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 199, 375, 555, 739, 927, 1119, 1315?\n\"Answer: 2*j**2 + 170*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(4*-1) - 0. Let a be (15 - (-12)\/f)\/(-1). Let w = -9 - a. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r + 18513 = 18713 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1377037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6796904 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by 3?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -818, -3, -1.\nAnswer: -818, -3, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30678 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1\/(5\/40200) - (-4 + 13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -381 divided by -127\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 913*w + 13617. What is the units digit of j(72)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-1)\/1) + -3. Let u be 4\/(3 - 4)*-4. Suppose -5*i + i + u = 0. Sort i, 1, s in increasing order.\nAnswer: s, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 79268700281.\nAnswer: -79268700293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5383*f**3*o**3*y**2 - 149*f**2*o*y**2 - 2*f**2*o*y - 71*o**3 wrt f?\nAnswer: -32298*o**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(19)*1*-3 + (sqrt(19) + ((sqrt(38)\/sqrt(2))**2 - sqrt(19)))*5*2.\nAnswer: -3*sqrt(19) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 16 = -4*g, 2*g + 0*g + 4*u - 18 = 0. Let y(o) = -30*o**2 + 411*o + 129. Let l be y(14). What is the second biggest value in 5, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (735\/49)\/(((-30800)\/(-96))\/(-55))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22584.\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 179910 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 120911 in descending order.\nAnswer: 120911, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -52 (b) 16 (c) 0.2 (d) -0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -28, 7, 86, 209, 376?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1585 + -1582. Put -1\/9, -4, m, -5 in decreasing order.\nAnswer: m, -1\/9, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5373, 5376, 5379, 5382?\n\"Answer: 3*z + 5370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -58098 < 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/619672 and -9\/8410.\nAnswer: 89852440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -71. Let t = a + 165. Find the second derivative of t - 206 + 7*y + 35*y**4 wrt y.\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.732 + -53.732. Let g = 0.9 - -0.1. Let j = g - -4. What is the third biggest value in j, d, 4\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26511169, 26511170, 26511171?\n\"Answer: j + 26511168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/15 - 32*c**2\/15 - 10*c\/3 + 28\/5 = 0 for c.\nAnswer: -14, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 8*n + 8. Let w = 397 + -393. Suppose 7*f + 33 = 4*r + w*f, -2*f - 34 = -4*r. Give v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1217\/5 or -32015?\nAnswer: 1217\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 1:46 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5019 + 5017. What is the smallest value in w, -3, -1, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 3, q: 1, z: 3, f: 1, n: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -332 (base 9) to base 7.\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/((-4)\/(-5)))\/1 + 28886\/26.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**5\/40 - k**4\/6 + 5*k**3\/3 + 2*k. Let r(i) be the second derivative of b(i). Let d be r(2). Solve -5 = -d*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 2*p**3 - 6*p**3 + 32 + 3*p**3.\nAnswer: -2*p**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxrx when four letters picked without replacement from {n: 3, x: 2, r: 5}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -5 (b) -3 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + 2 - (-5 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111661253.\nAnswer: 11, 17, 181, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*t + 18319 + 31751. Is 38 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -152548290*g**2 - g - 512705964 wrt g?\nAnswer: -305096580*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 10*b - 2. Let w be p(-10). Let i(x) = -4*x - 1. Let v be i(w). Suppose l = 15 + v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*r - 23, -r = 22 - 24. Let u = -3 - -4. Let x(i) = 3 + 1 + i**2 - u - 2. Calculate x(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 5*c**2 - 4*c + 8. Let x be n(-6). Let u(y) = -2 - 4*y + 1 - 423*y**2 + 842*y**2 - 421*y**2 + 2. Determine u(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 60, 96, 134, 174, 216, 260?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3021 - -3023. Let a(d) be the second derivative of 5\/12*d**4 - 4*d**i + 1\/20*d**5 + 0 - 12*d - 7\/6*d**3. What is a(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from quuuluufflfffufuuuf?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -316*a**2 - 1026.\nAnswer: -632*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1945 divide 2178818175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.67452789 rounded to 4 decimal places?\nAnswer: 3.6745","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 2 + -9 - ((-3 - 3) + 0 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86 + 86 - 8*m + 0*m - 3*m + 5*m - 4*m + 4*m - 3*m + 0*m - 2*m + 0*m + (-1 - m + 1)*(4 - 2 - 3) + 2*m - 5*m + 2*m + 2*m + 3*m - 6*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.35454 * -1.2.\nAnswer: 4.025448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61056 and 1423368?\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + -43. Let h = 104 + s. Solve -2*b = h*i + 31, -10 = -0*i + 2*i for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -21. Suppose 9*u = z*u. Is u greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-9 - 2 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -536358*d**4 + 2*d**2 + 323028*d - 1.\nAnswer: -12872592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 - 41. Suppose 0 = -3*n + 5*c + 26 + 14, 0 = 5*n - 2*c - d. Suppose n*b = 3*x + 3*b - 16, 3*x - 5*b - 4 = 0. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from dazpdfkdzzzkdzkkzafa.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 52 = -2*k - 4*p, -354*k + 40 = -348*k + p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -5\/4, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -51 + 4 + 2 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5845, 2, 1, 9 in descending order.\nAnswer: 9, 2, 1, -3, -5845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0.5 (b) 0 (c) -391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1\/11)*k))\/k*k**(-30)*k**(-4\/3)*k*k**(1\/16) assuming k is positive.\nAnswer: k**(-16991\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-39)*(-246)\/574.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2. Let f(q) = -4*q + 85. Determine g(f(v)).\nAnswer: -16*v**2 + 680*v - 7225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -21*f**2 - 97*f + 212. Give g(-7).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 times -0.01?\nAnswer: -15.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37983 is divided by 1027?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -17, 16, -1 in descending order.\nAnswer: 16, -1, -17, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/20 - 741*o**4\/4 - 1483*o**3\/2 + 19*o**2 + 2*o + 14. Factor a(f).\nAnswer: 3*(f - 1483)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26168 + 26168 - 326*h as m*h + g and give m.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2936477\/427 - 6877. Let o = w + -3835\/1708. What is the biggest value in 1, -4, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4, 0.4, -18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 13, b: 2, j: 3}. Give prob of picking 2 w and 2 b.\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 1)*(5*z**4 - 4*z**4 + z**4 + (2*z - 1 + 1)*(-2*z**3 - z**3 + 0*z**3)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixixixiiiijiiij. Give prob of picking 1 i and 1 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 19*y**2 + 18*y + 22. Let k be s(18). Suppose -71*g + 77 + 1723 = 109*g. What is the greatest common factor of g and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555 divided by -1\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 18*v**2 - 2*v - 1. Let f be p(-1). Suppose -3*i + 42 = 87. Let c = i + f. Solve -5*u = -w + 21, 4*u + 7 - 3 = c*w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 7*l - 3. Let o be m(7). Let f(h) = h**3 + 4*h**2 + 1. What is the tens digit of f(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 minus 578?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -50?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61400196 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 19*f**2. Let x(b) = 2*b**2 - 3*b**2 + 0*b**2 + 0*b**2. Determine c(x(j)).\nAnswer: 19*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 3*k**2 + k - 2. Let i be -2 - (11 - 3)\/(-2). Let v = i + -5. Determine t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - o + 3)*(-2*o + 5*o - 2*o) + (-3*o + o + o)*(-5*o + 3*o + 0*o) - 4*o**2 + 6*o**2 - 7*o**2 in the form b + g*o + k*o**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142970981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14956 - 15030 = 638*g for g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6)*(-5 - -3))\/(2\/(-50)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:01 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b1 - -8?\nAnswer: -16a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -132 + 1?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33099 and 60180.\nAnswer: 661980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563106917 to the power of 1\/3, to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 1, r: 4, b: 1, w: 4, e: 2}. What is prob of picking 2 e and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0*i)**(1\/6)*i*i**1*i\/i**(-3\/5)*(i**(-1)\/i*i**(-1))\/(i\/(i*i**(1\/14))*i*i**(3\/8)) assuming i is positive.\nAnswer: i**(-311\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 6*x - 3195*x**4 - 5*x - 5*x - 4*x**3 + 3197*x**4 + 5*x**2 in the form p + u*x**3 + a*x**2 + t*x + r*x**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w. Let t(g) = -2*g + 98. Determine b(t(f)).\nAnswer: 6*f - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 + 5*t - 5. Calculate r(4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 10) in base 13?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 267722728 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - x = -11337 + 11331, 0 = 2*o + 5*x - 9 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 19798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2405*t**3 - 2272?\nAnswer: 7215*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Let m = -17540 - -17580. Calculate the smallest common multiple of m and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1886 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -15*d + 2. Let g(u) = -17*u + 1. Let l(o) = -6*f(o) + 5*g(o). Let p(q) = 4*q - 6. Suppose j + 4 = 0, 5*j - 9 - 1 = 5*r. Determine r*p(w) + 5*l(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 7*j**5\/60 + j**4\/24 - j**3 + 2299*j**2. Let g(a) = a**2 + a - 1. Calculate 6*g(z) - p(z).\nAnswer: -z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**6 - d**5 + 9426*d**3 - 16*d**2 + 6245*d wrt d.\nAnswer: -720*d**3 - 60*d**2 + 56556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 5*y + 17. Let w(r) = 4*r - 17. What is -2*f(p) - 3*w(p)?\nAnswer: -2*p**2 - 2*p + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v + 40404. Let x = -222327\/22 + v. What is the common denominator of -99\/8 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 3 + (-5)\/1. Let k = 11 + m. Which is the second smallest value? (a) -4 (b) -9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29030244, -4, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 5 (c) -0.06 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000028217394 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 6*q**2 + 6*q + 18. Let g be b(7). What is the second derivative of -g*x**5 - 18*x**5 - 5*x**4 - 4*x + 5*x**4 wrt x?\nAnswer: -580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6356562ml in litres?\nAnswer: 0.0006356562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(2584\/153)*(-4)\/(-15).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 6*b - 6. Let z be i(-4). Solve 142*g**z - 142*g**2 + 3*g - 3*g**3 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k = -42*k + 21604. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -20076778493?\nAnswer: -20076778493.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -14.94. Let n be 3\/(24\/14) - 104410\/86680. Let c = -3 + 2.9. Sort c, n, p in descending order.\nAnswer: n, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 1\/2*z**2 + 1\/3*z**3 - z - 3. Suppose 0 = 4*u + 3 + 1. Let d(s) = 2. Determine u*n(m) - d(m).\nAnswer: -m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*o - 3*l, -1 = -4*o + 2*l - 7. Let r be (o\/5)\/((-4)\/5). Let h = -4.13 + 3.13. Which is the nearest to r? (a) 0 (b) 1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 18 + 5 + 10 to the form h*f + z + y*f**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*f**2 - 2364*f + 2364*f.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 5*w + 3. Let o be p(5). Suppose o*k = -z + 115, 2*z + 154 = 4*k + 3*z. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 961601601 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -a2 (base 15) to base 13\nAnswer: -b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**5\/20 - 5*r**4\/12 - r**3\/3 - 7*r**2\/2 + 6*r. Let k be f(-5). Factor -2\/9 + 2\/9*p**2 - 2\/9*p**k + 2\/9*p.\nAnswer: -2*(p - 1)**2*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 1, z: 1, a: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9\/(-2) - -3 - (-975)\/6 and 1403?\nAnswer: 9821","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 79, -8, 5, -2, -7 in increasing order.\nAnswer: -8, -7, -2, 5, 71, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 93*u - 91. Let o be d(-92). Which is smaller: -14\/145 or o?\nAnswer: -14\/145","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 0 - 11)*(-2 + 2 - 3)*((0 + 0 - s)*(3*s**2 - 2*s + 2*s) - 4*s**3 + 4*s**3 + 2*s**3 - 8 - 2*s**3 + 8)*(6*s - s**2 - 6*s).\nAnswer: 333*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - -1) + 1513 + -1509 + -53?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**7\/630 + i**5\/30 - i**4\/9 + i**3\/6 + 17*i**2. Factor z(c).\nAnswer: -(c - 1)**3*(c + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.3. Let l = 0.5 - 0.4. Is l equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 107 - 36 = 4*i + 47, -4*i + 36 = -4*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1 + sqrt(17) + sqrt(102)\/sqrt(6)*-1)**2 + -2.\nAnswer: -4*sqrt(17) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - l. Let d be s(5). Suppose 6 + 0 = 3*j. Suppose j*a - 46 = -5*z, 2*z + 2*z = -3*a + 34. Calculate the highest common divisor of z and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-2 + 1 + (-52 - -14)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -7.993. Let s = i - -0.00739. Round s to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**7\/12600 - v**5\/150 + v**4\/12 + 6*v**2. Let n(o) be the second derivative of g(o). Find a such that n(a) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f = -4*t - 42, -3*f = -4*t - 61. Suppose 0 = x - f - 3. What is the remainder when (-6)\/(-2) + (42 - 2) is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 31*r**2 + 2*r + 34. Give b(-31).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11460 - 79854\/7. Is j greater than or equal to 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.94 - 0.06. Let m = 1.4 - 0.4. Let z = m - 1.5. Sort z, d, -4\/5.\nAnswer: d, -4\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 7*m**3 - 2*m + 1 - 4 - 9*m**3. Let n = -3 + 19. Let l be (1\/(-2))\/(68\/n - 4). Give b(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2 = 6. Let k = 2 - r. Suppose k = 7*a - 912 + 387. What is the highest common divisor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 23*m - 9. Let s be c(3). Calculate the highest common factor of 36 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 123?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 515111 (base 7) in base 4?\nAnswer: 111202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361357481?\nAnswer: 361357481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362812?\nAnswer: 2, 11, 47, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and 26.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -238320 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 16) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449 - 207. Suppose m - k = 125, 2*k + q = 2*m - 2*k. Suppose 46 = 5*n - m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -79460*t. Let l(v) = -17*v**2. Calculate d(l(a)).\nAnswer: 1350820*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4375 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7844 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*16\/6*20\/(-80). Suppose -5*r + 8 = -7. Suppose r*q + 2*g = -y*q + 208, -q - g + 44 = 0. Calculate the remainder when q is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (30\/5)\/(4 + -2). Suppose b*o = 10*o - 672. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 - (-42)\/(-7). Let u be (0\/(w + 5))\/(-2). Suppose -4*h + 25 = -p, -p - 5*h + 10 + 10 = u. Let t(x) = x**3 + 5*x**2 + x + 5. Determine t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -187, -372, -545, -700, -831?\n\"Answer: j**3 - 192*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5950, -5864, -5778?\n\"Answer: 86*b - 6036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8031.917 litres to millilitres.\nAnswer: 8031917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2885 = 4*o + o, 0 = 5*o - 5*n - 2840. Let y = 820 - o. List the prime factors of y.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from ccvclcujl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 17*m**2 + 41*m - 164. Let i be y(15). Are -2\/425 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*g + 119*g + 109*g + 117*g + 115*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*3 - (-3 + sqrt(17) + sqrt(102)\/sqrt(6) + sqrt(17)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**4\/12 - 3*u**2 - u. Let d be j(-6). Differentiate d*p - 1 - 30*p + 3 - p**3 with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 15 - 35 = -4*x, -5*p + x = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/21, 36, -0.03, 2 in descending order.\nAnswer: 36, 5, 2, 2\/21, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 11132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 97?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:01 PM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-297.68.\nAnswer: -89.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (64\/6)\/2 + 1\/(-3). Suppose -s = -k*f + 116, -4*f - 5*s - 39 = -155. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4051259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 165107, 165713, 166723, 168137?\n\"Answer: 202*v**2 + 164905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991 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 d = -74 - -143\/2. Let a = -105 - -103. Is a bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 253\/77 + (-2)\/7. Suppose d*m - 4*c = -0*m - 2, -2*m = 2*c - 8. Suppose -2*v - m*v + 56 = 4*j, -66 = -5*v - j. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 0*q**4 + 1\/20*q**6 + 0*q + 2\/15*q**5 + 3*q**2 + 0 + 0*q**3. Find the third derivative of b(j) wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8430034 divided by -2.\nAnswer: 4215017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2214)\/410*-5*2\/24)\/((-3)\/32).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*4\/(-56) + (-660)\/(-105). Suppose -o + u*o = -10, -o = 3*q - 7. Solve 9*x + 24 = q*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**5 - 500*m**4 + 7292*m**3 + 16068*m**2 + 8280*m = 0.\nAnswer: -138, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670*k - 330 - 27140 = 0 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16938 minus -6902419?\nAnswer: 6919357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -53*b - 3247. Calculate u(-61).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3704, -14848, -33420, -59420?\n\"Answer: -3714*p**2 - 2*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 3*s - 5*s)*(18*s**2 - 155*s**2 - 40*s**2) + (-5*s - 16 + 16)*(-2*s**2 + 6*s**2 - 3*s**2 + 2) in the form f*s**2 + k + l*s + q*s**3 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1acb2 (base 13) in base 6?\nAnswer: 1044000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3371 or 57289\/17?\nAnswer: 57289\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**10\/252000 - w**9\/50400 + w**8\/33600 + 7*w**5\/60 - w**2. Let p(i) be the third derivative of r(i). Factor p(f).\nAnswer: 3*f**2*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11642?\nAnswer: 2, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1062 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 96? (a) -1\/82 (b) -44 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0401 and -918?\nAnswer: -36.8118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 4:08 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1085\/102 - 8\/17. Find the common denominator of t and -47\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3614*a**5 + 3635*a**2?\nAnswer: -216840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10236096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/10341 and 25\/518199.\nAnswer: 4663791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*g + 342 = 441, p - 30 = -4*g. Let m(d) = -69*d - 6. Calculate the remainder when m(-5) is divided by p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4518, 9046, 13574, 18102, 22630, 27158?\n\"Answer: 4528*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46182\/13 - -7715085\/2171. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*z**2 + 290*z**2 - 96*z**2 + z - 105*z**2 - 22 in the form r*z + x + b*z**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*r + 10 = 0, -i - 23 + 26 = 3*r. Let w(l) = -17*l - 9. Calculate w(i).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s - 151 = 2*i, -4*i = -3*s + 449. What is the greatest common factor of s and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1583.15108969 - 2.3.\nAnswer: -1585.45108969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 - -4) - -2. Suppose 11*s - 17757 = q*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1334 - -114?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 150*x**3\/7 - 165*x**2 + 2484*x\/7 - 972\/7.\nAnswer: 3*(2*x - 1)*(5*x - 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8515\/1638*3\/60)\/(1\/3) and 19\/630.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:44 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 30 - 0. Suppose 24 = -b + 3*b - 5*a, 4*b + x*a + 12 = 0. What is the second derivative of -11 - 59*c - 54*c + 10*c**b + 110*c wrt c?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-72)\/27*(-45)\/4. What is the greatest common divisor of 75 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*q - q**2 - 62 + 158 - 71)*(-1 + 1 - 2*q) to y + c*q**3 + f*q**2 + b*q and give b.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 18091\/316 + (-62)\/2?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683657183 a multiple of 1919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6669480 and -149\/342.\nAnswer: 380160360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 260.0159526 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -775718, -6205743, -20944386, -49645955, -96964758, -167555103, -266071298?\nAnswer: -397167651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + 12. Suppose 67*k + 2 = 68*k. Calculate the lowest common multiple of k and ((-18)\/4)\/((-6)\/l).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -10406310.9\nAnswer: -2081262.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0037 - 46.2037. Let p = y - -46. What is p rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5756575469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - 4*h)*((h + 1 - 1)*(4 - 4 - 1) - 291 + 291 + 11*h + 37*h - 71 + 71).\nAnswer: -94*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 - -39. Suppose -y - 2*y + d = 0. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*c - 23*c, 5*o - 4*c = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 52120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-238) - (-896922)\/17. What is l rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719185 is divided by 9205.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120322 + -21011001?\nAnswer: -20230013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2*g - 3. Let r(s) = -3*s**2 - 26*s + 12. Let i be r(-9). Calculate z(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120441 (base 6) to base 14.\nAnswer: 16bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**5\/3 - 4*l**4\/3 - 2*l**3\/3 + 4*l**2\/3 + l = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -16) + (-2 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 382*i**3 + 3546*i**2 + 10746*i + 10800.\nAnswer: -2*(i - 200)*(i + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3701338.\nAnswer: 2, 31, 59699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*g + 111115 - 111115.\nAnswer: -147*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14429677492446 and -0.4?\nAnswer: 14429677492446.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955800889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4519 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: Is 331002533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7372722 and 83151?\nAnswer: 22118166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 493 - 417.4. Let z = 75.66975 - u. What is z rounded to three dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 101088 divided by -8\nAnswer: -12636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {d: 7, b: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 7 - 7)*(3017*r**2 - 606325*r + 606325*r)*(1 - 2 - 1) to j*r + y + p*r**2 + o*r**3 and give o.\nAnswer: 24136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -175?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 1016, 5, 0.3, -3\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -29, -35, -43, -53, -65, -79?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (-2*sqrt(6480) - sqrt(6480)))\/((1*sqrt(54))\/sqrt(6)))**2.\nAnswer: 6845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times -2.6?\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9063 is divided by 566.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3 - 98713*d + 440571 wrt d.\nAnswer: -6*d**2 - 98713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r + 9. Suppose -5*z + 49 = -3*b, 0 = 5*b - z - 3*z + 86. Let s(t) = 2*t**2 + 38*t + 34. Let x be s(b). Sort r, x, 13 in descending order.\nAnswer: 13, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 + 234. Calculate the highest common factor of 250 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.808 rounded to two dps?\nAnswer: 14.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506434 is divided by 235.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 5856.31.\nAnswer: -5855.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmtmmmmmmtmmmmmmmt?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 156 = -2*p. Suppose -11*k - 1885 = -16*k. What is the remainder when 14 is divided by k\/p + (-1)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-1) - 2\/4*-2. Let d(n) = -3*n + 35. Determine d(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c - 711 = 1767. Let w = 130 - c. Solve 3*z + w = 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2*t - 2)*(36451*t + 10342*t + 13418*t - 20459*t + 24849*t).\nAnswer: 129202*t**2 - 64601*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.43, -24.8, -5, 4, 0, -3 in decreasing order.\nAnswer: 5, 4, 0, -1.43, -3, -5, -24.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 - 63*n**2 + 26*n**2 + (1 - 1 + 2*n)*(n - 2*n - n) - n**2 + 5*n**2 - 2*n**2 to s*n + r*n**2 + l and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167259244.\nAnswer: 2, 71, 588941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 - 0.07. Let i = -783.97 + 780. Let d = -4 - i. Put d, f, -5 in decreasing order.\nAnswer: d, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234 - -251. Suppose -d*a = -422 - 377. Calculate the remainder when a is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 plus 4.6835814216?\nAnswer: 4.5735814216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-14)*o)\/o)\/(o*((o\/(o\/o**(9\/8)))\/o)\/o) assuming o is positive.\nAnswer: o**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 49082865 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 57*u - 171. Suppose 2*o - 5*t + 3*t - 10 = 0, 3*o - 17 = 4*t. Let a be p(o). Solve c - 9*c - 24 = a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2204538 + 10*t**2 - t - 2204530 + t + 4409068.\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + n - 0*n - 7, 3 = 4*b - n. Let j(q) = q**2 - q - 2. Let z be j(b). Solve -4 = h - 2*w, 2*w - 4 = -z*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -411*u**6\/10 - u**3\/6 - 320*u**2 + 2926*u. What is the second derivative of d(b) wrt b?\nAnswer: -14796*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 divided by 27?\nAnswer: 572\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 divided by -82?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 107 in ascending order.\nAnswer: -2, 0, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*s*y**3 - s + 1934*y**3 - 3*y + 347 wrt y?\nAnswer: 6*s*y**2 + 5802*y**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**2 + 0*c**2 + c**2)*(6*c - 4*c + 0*c) + 10*c**2 - 39*c**3 - 10*c**2 as w + p*c**3 + y*c**2 + x*c and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 30bcbd (base 14) to base 5\nAnswer: 410134200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 + -75. Let r be (-3)\/d + (-105)\/50. Let w = -3.2 + 0.2. Which is the nearest to 1? (a) w (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-68)\/102)\/(((-8)\/(-39))\/(-2)). Is b smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*h - 101*h = 1218 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*12\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)\/g)**(-25\/2))**(-2\/51) assuming g is positive.\nAnswer: g**(-125\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -5*g - 37845 + 37808, 4*g = -4*o - 32 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(-15)\/12 - -86. What is the greatest common divisor of 7 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-7)*g)**(-1\/20)\/(g*g**(-12)*g\/g**(-19)))**(-40) assuming g is positive.\nAnswer: g**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*t**2 + 497*t**2 - 250*t**2 - 155*t**4 - 85*t**4 + 3164*t wrt t?\nAnswer: -2880*t**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 58*s**2 - 3*s + 4. Let i = -116 + 117. Let x be m(i). Suppose x = 3*g - 2*d - 244, -5*g + d + 505 = 0. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26d - 51?\nAnswer: -2be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 21 = -3*f, -8*l + 5*l - f + 29 = 0. What is the remainder when 2926 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/(-100) - (-54)\/10. Suppose y - 788 = -4*t, 693 - 4633 = -l*y + 4*t. What are the prime factors of y?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((-299)\/13 + 55)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jp when two letters picked without replacement from {p: 2, j: 17}.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -662926, 3 in decreasing order.\nAnswer: 3, -2, -3, -662926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 36. Suppose 0 = r*z + 40 - 32. Does 31 divide (-3936)\/(-72) + z\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033919 to six decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25522.13127+60967\nAnswer: 86489.13127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = 4. Suppose -f*x + 3*x + 21 = 2*c, 3*c - 32 = 2*x. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + o + 5137 - 407 = 0, z - 4*o = 1190. Suppose -3*g + z = 264. Does 34 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + v - 8, -v + 37 = -3*f + 29 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15575*c**2 - 183659*c**2 - 3078*c**2.\nAnswer: -202312*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -502 - -5518\/11. Let u = -2764.2 - -2757.2. Which is the nearest to 0.1? (a) v (b) u (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = m - 4. Let k(u) = -11 + 4*u**2 - 3*u**3 + 2*u**m - 3*u**2 + u. Suppose z + 2 = 3*a, -a + 92 = 4*z + 100. Determine k(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 338, -2, 1, 9, -393 in increasing order.\nAnswer: -393, -2, 1, 9, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 + 2956\/(-60). Let d = p + 569\/15. Let b = 248\/21 + d. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -37, -0.2, 3\/8, -9\/4.\nAnswer: -37, -9\/4, -1, -0.2, 3\/8, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9 less than -0.3938581?\nAnswer: 5.5061419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d - 177. Let t be r(15). Find the common denominator of 775\/(-90) + (-4)\/t and -139\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.14 - 3.14. What is the nearest to -0.4 in -1, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*k*v**4 + 8*c*k*v**2 + 91*c*v**5 + 2*c + k*v**3 - 2*k wrt v.\nAnswer: 48*c*k*v + 5460*c*v**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2*(1*sqrt(528) - sqrt(528)) - sqrt(528)) + sqrt(528))*-4)\/(-2*sqrt(48)*3) + -2)*3*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71.75195 + -1.42905. Let g = j + 73. Let x = g - -0.991. Round x to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21800?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/10)\/(8\/(-20)). Is 23\/5 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 13*o**2 + 19*o + 51. What is y(-10)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 312. What is n(-17)?\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 442935247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 75 = -3*x, 4*x - 6*u + 3*u - 100 = 0. Solve 3*j = -2*j - x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 558 - -a?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*y + 69*y + 69*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/94 and (-1 - 11\/22) + -11.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k + 20 = -91. Sort 4, k, 16, -1.\nAnswer: k, -1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16569*f**6*r - 2*f**2*r - 6*f**2 - 2*f*r + 1178*r wrt f.\nAnswer: 1988280*f**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3927*y + 42620 = -33549 - 14152 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 0.7673.\nAnswer: -1.7673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4794 and 273.\nAnswer: 436254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47030000?\nAnswer: 2, 5, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -0.4, 8.23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 - 20 = 0. What is the greatest common divisor of 36 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 459223275 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:26 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 19 - 3 = -g, -5*g - 2*p + 2 = 0. Let n(t) = -t**3 - 4*t**2 - 3*t - 30. Let c = -84 + 79. What is the lowest common multiple of n(c) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 4. Let k be 0*5\/20 + -3. Give r(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -23, -74, -173, -332, -563, -878, -1289?\n\"Answer: -2*w**3 - 12*w**2 - w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 2. Let w be i(-3). Let r(k) = -6*k**3 - 4*k**2 - 4*k - 6. Let y be r(w). Is 1 - y\/(1 - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**5*x + 2*u**5 - 2*u**4 + 5*u*x - 15*x wrt u?\nAnswer: -40*u**3*x + 40*u**3 - 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 15 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(147) - (sqrt(147) + -4 + 2)**2) + 0.\nAnswer: -302 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7587, 15187, 22799, 30429, 38083, 45767, 53487?\nAnswer: 61249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243519216 to the power of 1\/2, to the nearest integer?\nAnswer: 15605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -q + 6*l + 204, 4*l = 4*q - 880. Let m be (3 + 7\/(-2))\/(9\/q). Let u = -5 - -3. Which is the closest to u? (a) m (b) -1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6*j + 12. Suppose -135 = j*b - 347. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 2. Let w = -38 + 18.4. Let v = w + l. Which is the second biggest value? (a) -3\/4 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 24\/5*f**2 - 134\/5*f**4 - 126\/5*f**5 - 16\/5*f + 0 + 252\/5*f**3 = 0.\nAnswer: -2, -2\/7, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, 1 s, and 1 v when four letters picked without replacement from gswavgi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(6\/(-153))\/2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 0.04 (c) 2 (d) -1\/3 (e) 101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21136 and 1632.\nAnswer: 2155872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*z = 120*z + 22534 - 33538 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -88, 3, -1 in increasing order.\nAnswer: -88, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116222 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 8416314*b**2 + 16832625*b + 8416312.\nAnswer: (b + 1)**2*(b + 8416312)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 5166656, 0, 3?\nAnswer: 5166656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (14925\/310440)\/(2\/(-32))\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 2*m. Let q = -43 - -18. Let o = 28 + q. What is the units digit of w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 - 99.1. Let x = 6.862 - u. Let d = 0.138 + x. Is d at least 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(2\/(57\/9 + -3)). Let s(a) be the first derivative of -3*a + 2*a**3 - w - 1\/4*a**4 + 0*a**2. Calculate s(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -52*11\/2 + (-4 - -9). Let q = t - -287. Solve 18 = q*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2676138, 5352256, 8028356, 10704438?\n\"Answer: -9*j**2 + 2676145*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-14\/3)))**(-50\/3) assuming v is positive.\nAnswer: v**(-700\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4372, -441, 5.\nAnswer: -4372, -441, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2. Suppose n - 5*t - 43 = 0, 0 = 3*t - 3 - 3. Let f(a) = -114*a + n*a + 48*a. What is p(f(l))?\nAnswer: -1183*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -329, -338, -347, -356, -365?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 819\/7106 + 1\/418. Suppose -3*v - 5*r + 34 = 0, r = 2*v - 1 - 0. Suppose v*d - 4*d - 5 = 0. Which is the nearest to 1\/2? (a) 3 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75347418.\nAnswer: 2, 3, 457, 27479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 95, -1.22, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from kvkkkkvkvkkkkk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*m**2*z**4 + m**2*z**2 + 105*m**2 - 2*m wrt z.\nAnswer: 284*m**2*z**3 + 2*m**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -8)*-5*(-6)\/40. Suppose 11*n + 0*n = p*n. Factor -18\/5*f**3 - 3\/5*f - 3\/5*f**5 - 12\/5*f**4 + n - 12\/5*f**2.\nAnswer: -3*f*(f + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by -35\nAnswer: 144\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*c + 6*c**2 + 336*c - 3*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138 - 357. Let k be m\/(2*2\/(-4)). Let r = k + -129. What is the greatest common factor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1337384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -40282325 equal to -40282320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -1, -21, -61, -127, -225, -361?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324\/27*5\/(-45)*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0 = -20. Let q = h + 50. What is the remainder when 270 is divided by q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 142561, 285052, 427529, 569992, 712441, 854876, 997297?\n\"Answer: -7*t**2 + 142512*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358 - 328 = -6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 736 + -404. What are the prime factors of d?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 + -154. Let y = 1.6 + 7.4. Which is the nearest to -1? (a) g (b) y (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-1) + -3 + 170\/(-30). Suppose 5*n + 14 = n + 3*j, 0 = j + 2. Sort l, -37, 0, n in ascending order.\nAnswer: -37, n, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*h = -2*k + 114*h - 12, -2*h = -4*k. Solve k*g - 3*g + 3 = 4*l, 0 = -4*g - l - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v + 5*v - 23*v + 14*v to the form h + q*v and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899606 is divided by 899582?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -896 + -5?\nAnswer: -89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846786?\nAnswer: 2, 263, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**2 - 7*r + 10. Let z be v(4). Suppose -28*o = -z*o + 288. What is the greatest common divisor of o and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39ed (base 16) to base 10.\nAnswer: 14829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 43*v + 58. Let c = 5188 + -5168. Calculate h(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 198 = -15*t. Put t, 3, 84 in descending order.\nAnswer: 84, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/4304 and -31\/12.\nAnswer: 12912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s = -141*s + 32*s - 2368 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(3\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*j - 123, -j - 101 = -4*r + 10. Suppose -r = -6*k - 21. Let h be k + 6\/(-2)*(-2 - -1). Solve z + l = 1, 4*z + h - 11 = -l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 7*v - 101. Let o be t(-14). Sort 3, 2, o, -6 in increasing order.\nAnswer: -6, o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {b: 1, w: 5, v: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -501 + -324?\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 2. Let y(b) be the first derivative of -2*b**2 + 2*b - 11. Let t(u) = -6*y(u) - 5*z(u). Give t(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 4*d + 7. Let v be h(-5). Suppose 3*a - v*b = 120, a + 123 = 4*a - 3*b. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2950 - 2950. What is the fourth biggest value in z, 1148, -1\/10, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 2, i: 4}. Give prob of picking 2 e and 1 w.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p. Let t(a) = -6*a - 7. Let b(l) = -9*l - 11. Let s(j) = 5*b(j) - 8*t(j). Calculate 5*i(x) - 3*s(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -475 times -6\nAnswer: 2850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 u when four letters picked without replacement from llullullltutt?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 17 = -2*r - 5, 14 = -5*h - 3*r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i*i\/i**(-1\/2)*i*i)\/i)*i**(1\/2)*i)**50\/((i\/(i*i\/(i*i**(-1\/4)))*i*i**(-2))\/(i*i*i\/(i*(i\/(i**(-1\/3)*i))\/i)*i)**19) assuming i is positive.\nAnswer: i**(851\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-3) - (-14 - -4). Suppose -12*q + c*q = 0. Solve -u = -q*u - p - 6, 4 = -4*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8266 in 0.2, 3, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/41 and -36\/3517841.\nAnswer: 3517841","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*r - 422, -5*n - 2*r + 511 = -5*r. Suppose -50*w + 42*w - n = 0. What is the common denominator of -29\/8 and 4\/(-6) - w\/33?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2262346, -4524684, -6787024, -9049366, -11311710?\nAnswer: -13574056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, l: 4, s: 3, p: 2, x: 1}. What is prob of picking 1 p, 1 l, and 1 x?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, -354, -1021, -1954?\n\"Answer: -133*f**2 - 2*f + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 7) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-4 + 23) - -19 - 16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 + 48. Let a = -37 - j. Solve -13 = -h - 3*c + 7, 0 = -c + a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y. Let k(h) = -3*h**2 - 6*h + 1. Let w(t) = -k(t) - 2*s(t). Let z be w(-3). What is the remainder when 23 is divided by (-6)\/4*(0 + z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -44*k**3\/3 - k**2 + k - 68. Find the common denominator of -19\/5 and n(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + 5*x)*(5 - 5 + 1 + (-2 - 3 + 4)*(7 + 37 + 45))*(2*x + x**2 - 2*x).\nAnswer: -176*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -14. Suppose j - 15 = 4*h, -y*h + 14 = -4*j + 41. Suppose j*q - 609 = -3*p - 189, -5*p + 120 = q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/4)\/((-50952)\/49408).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47536800 divided by -4640?\nAnswer: -10245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -6. Let j = 1166.5 + -1167. What is the nearest to 0 in -3\/2, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 - ((-3599)\/(-177) - (2 + 11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 477 = 577 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/105 + -232\/1155. Suppose h = 2*h + 1. Suppose -2*w + 9 - 22 = 3*p, 14 = -3*p - w. What is the nearest to h in -0.4, p, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 263961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -5102, 2 in descending order.\nAnswer: 2, -1, -3, -5102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 6) to base 14\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 9*s**3 - 18362922*s**2 + 416221539*s + 140780838 = 0.\nAnswer: -1\/3, 23, 2040302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - x - 3*x**3)*(11*x + 8*x - 30*x) as q*x**2 + u*x**4 + r*x**3 + o*x + s and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*t*w - 92*t + 53*w - 2 with respect to w.\nAnswer: 6*t + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-4)*40\/(-12). Let w be (-5)\/(l\/20) - 33. Let j = 91 + w. Calculate the greatest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + 0*t**3 + 2*t**3 + (-6*t + 3*t + 2*t)*(7*t**2 - t**2 - 2*t**2).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 4*s - 0*s, 68*k + 51*s = 75*k - 125 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -490227114 and -0.4.\nAnswer: -490227114.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4544 (base 15) to base 2\nAnswer: 11100101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 520042413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(1\/6)*p))\/p*p)\/p*p)\/p**(-23) assuming p is positive.\nAnswer: p**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*u + 2*u + 2*u + (-3 + 1 + 7)*(4*u - 25 + 25))*(-1 + 0 - 2).\nAnswer: -57*u + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -987*z - 3*a = -985*z + 7, -6 = -4*z - 2*a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from hvvvqvqpu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -18*b + 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 4 - 12)*(p + 0*p + 0*p) + 18*p + 7 - 7 to the form q*p + k and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**5\/60 + c**4\/24 + 3*c**3\/2 - 2*c**2. Let l be f(0). Calculate the remainder when 16\/(-12)*l\/(-2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56834 (base 10) to base 5.\nAnswer: 3304314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = z + 3*z. Solve 0 = z*m - 3*b + 5*b + 14, -m + b = -1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icpuckcupckcgkp. What is prob of picking 1 i and 1 u?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**5\/20 - 2*j**3\/3 - 3*j**2 + 2. Let o(b) be the second derivative of z(b). Differentiate o(c) with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a = -11*a + 96 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 4. Let r be l(9). What is the units digit of r\/15 + (-49)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2008666, -4017337, -6026008, -8034679, -10043350, -12052021?\nAnswer: -14060692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 36 = 4*x - 35, 2*p + x - 177 = 0. Let w = p + -88. List the prime factors of 687\/w + 1 + 3.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/14 + 632\/28. Suppose -35 = -5*o + 40. Suppose -4*c = 7 - o. Solve 2*l + 6 = -c*z + i, -5 = -l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2 - 309*h - 122. What is b(-8)?\nAnswer: 2670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*y + 3*y + 1, 3 = 3*k - 4*y. Let a(t) = 3*t - 1. Let q be a(3). Let d(l) = l**2 - 10*l + 21. Let u be d(q). Is k < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70.6 - -68.6. Let n = -29\/2 + 41\/3. What is the closest to f in -4, 0.7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + b = -0*b - 7, 0 = o + 2*b + 5. Let l be 0\/((o + 1)*1). Suppose l*u = -u + 11. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.4 + -48.4. Let w = 46180 - 46140.963. Let x = k + w. What is x rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 10:57 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2219543 divided by 1.\nAnswer: -2219543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m**2 - 7*m**2 - 5*m**2)*(-1998*m**2 - 2885*m**2 + 3 - 3) in the form x*m**3 + j + o*m + t*m**4 + b*m**2 and give t.\nAnswer: 34181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2502 + j**3 - 2502.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.6769 and -10341.\nAnswer: -10342.6769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))\/a*a)**45*a**(2\/9)\/a**(-2\/13)*(a*a**0)**(-2\/61)*(a**1)**(-4\/41) assuming a is positive.\nAnswer: a**(71902\/292617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5132 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213142?\nAnswer: 2, 19, 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/24 and -51\/22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**7\/70 + j**4\/4 - 4*j**2 + 2. Let r(t) be the second derivative of g(t). Find the second derivative of r(n) wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - (24 - 52)) + (-15 - 1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -7. Let w(n) = 6*n**2 - 2. Let b(j) be the first derivative of j**3 - j - 1. Let l(m) = u*b(m) + 4*w(m). Find the first derivative of l(f) wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21191, -21192, -21193?\nAnswer: -21194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 28. Solve 3*g + 6 = 4*o, -z*g - g - o = -13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 10. Let o = u - 5. Solve 2*d = o*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*h = -149 + 1717 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlcnqwtwqnltwtltct. Give prob of sequence wwc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/17))**(-34) assuming g is positive.\nAnswer: g**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 412321314 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -395*y - 32775. Calculate s(-83).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*h + 116*h**2 + 3 - 5 + 168*h + 108*h**2 - 234*h**2 to l + w*h + n*h**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opoouooppppppppppp. Give prob of picking 2 p, 1 u, and 1 o.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14070024.\nAnswer: 2, 3, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y**3 + 69*y**2 + 8*y - 52. Determine h(5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 42, -2.9 in descending order.\nAnswer: 42, 2, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight ninths of a week?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 11 = 5*l, -2*i = -3*l - 0 + 7. Solve 0 = -l*m - 0 - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -44566 at least -44566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 67. Let k be (2 - 2)\/(2\/2). Is y(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81372 and 732?\nAnswer: 4963692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 350*t - 345*t - 20. Let u = 1 + 7. Solve 4*c - 3*g + 20 = 0, -t*g - u = 4*c + 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -526 + 527. Is o at least 1\/460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((2\/5)\/(93\/620))\/((-8)\/(-48876))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-675)\/(-1050)*(-4)\/6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a5a1233 - 3?\nAnswer: 2a5a1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 12. Let r(s) = -7*s**2 + 2*s - 2. Let l(z) = -7*z**2 + 2*z - 2. Let x(c) = -3*l(c) + 2*r(c). What is the remainder when x(w) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let v be (5\/((-10)\/48))\/(-1). Suppose 0*w + v = t*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1082.\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 29. Let z be t(17). Let j(d) = -3*d - 6. Give j(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + (sqrt(19) - (sqrt(19) + -2 + sqrt(152)\/sqrt(8) + sqrt(19) + sqrt(19))) - (sqrt(1900) + 5*3*sqrt(1900) + 4))**2*-4.\nAnswer: -2019344 - 6520*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -64. Let k(l) = 16*l + 7. Let i be k(w). Suppose -25*h - i = -26*h. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 1\/2*p**2 + 0 - 5*p + 7\/3*p**3. Calculate c(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -450409, -900812, -1351241, -1801708, -2252225, -2702804, -3153457, -3604196?\nAnswer: -4055033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + b - 15 + 5, 0 = 6*i - 5*b + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 152155.74\nAnswer: 76077.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -3*m**2\/2 - 3*m + 15. Let n(i) = i + 1. Give -5*n(f) - 2*w(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3 = -5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddd. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61027126 to the power of 1\/2, to the nearest integer?\nAnswer: 7812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7222922, 7222920, 7222918, 7222916, 7222914?\n\"Answer: -2*k + 7222924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**3 + 5*k**2 - 13*k + 23. Let m(b) = 2*b**3 + 75*b**2 + 295*b - 64. Let q be m(-33). Determine j(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 12*f + 9*f = 36024. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1718?\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 (base 10) in base 12?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-18)\/t*t)**19 assuming t is positive.\nAnswer: t**(-342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006647 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.3, 0.1, 0, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17501 and 31820.\nAnswer: 350020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 23 = -11*r - 10*r + 2*d - d, -r - d + 17 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 13 + (-144 - -112)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 139.0650418 to zero decimal places.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3369182*r**6 - 5*r**5 - 41734703*r**2 + 2*r wrt r?\nAnswer: 404301840*r**3 - 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**3 + 2*j + 1. Let d be r(-1). Suppose 4*k - 10 = -d*o, 5*k + 4*o = -4 + 12. Suppose k*w - 5*w = -50. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111000 (base 3) to base 10\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.69653371 rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*h - 65*h + 26*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -267066 divided by -89022.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkggkggkkgk. Give prob of picking 3 k and 1 g.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*u + 26*u**2 + 9*u**2 - 80*u - 38*u**2 + 162*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -319 (c) -2 (d) -0.5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2448 + 1028. Let j = q - -1406.54. Let y = -7.24 - j. What is y rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54930360 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1788756 and 5366272\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 5:28 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257381 = -7*n + 257318 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.34627304*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5, z: 4, q: 10}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223125 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**(-49)\/((v\/(v*v\/v**(-2\/13)*v))\/(v\/v**(-17))) assuming v is positive.\nAnswer: v**(2173\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 9. Determine j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 - 8 = 0. Let c = z + 5. Let m = -1 - c. Solve 25 = -m*d + 5*o, 24 = -3*d + 3*o + 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0*g**3 - 61\/42*g**7 + 0*g**6 + 0 - 7\/2*g**2 + 52*g + 0*g**5 + 5\/12*g**4. Find the third derivative of x(h) wrt h.\nAnswer: -3660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 100000110?\nAnswer: -100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 17*c**2 - 371*c + 209. What are the prime factors of r(38)?\nAnswer: 5, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(176) + sqrt(176)*-3*2 - sqrt(176) - (sqrt(176)*-1 + 4))**2.\nAnswer: 160*sqrt(11) + 4418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21092 + 42187\/2. Which is the third biggest value? (a) -475 (b) -1\/6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmmm. What is prob of picking 1 f and 2 m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 6. Let i be z(3). Suppose -8*j = -i*j - 2400. Round j to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-183225.\nAnswer: 3664.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 31 - 4 = 0. Suppose d + 2*z = v*z + 1000, 3*d = -3*z + 2976. List the prime factors of d.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 17*t + 49. Let i be r(-19). Suppose -7*k + i = -10. Calculate the smallest common multiple of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**3\/6 + 4*h. Let k be b(-5). What is the second derivative of 6*q - q + q**k + 4*q**5 - q wrt q?\nAnswer: 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -4551.\nAnswer: -2\/4551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112 + 11?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(5*1\/5). Suppose -352 = -11*t + u. What is the greatest common divisor of 85 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 3*u + 6. Let f be 2\/(-8) + (-3 - (-33)\/(-12)). Give o(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 8*s - 3. Let w be u(2). Suppose -325 = -4*a + 2*n + 599, w*n + 10 = 0. What is the remainder when a is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -13232011?\nAnswer: -13232020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -58*((-1)\/(-6) + 14\/(-12)). Calculate the greatest common factor of l and 1276.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 49 - 1232*k + 11 - 413*k + 9. Is c(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/65 - 368\/(-26). Suppose 0 = 8*z - b*z + 180. What is the remainder when z is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 39*m - 889. Calculate o(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10744 + 10722. Which is the fourth biggest value? (a) 153 (b) 3 (c) -0.2 (d) 5\/4 (e) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -4\/3*l - 1\/6*l**4 - 8\/9*l**3 - 5\/3*l**2 - 23. Let g(u) = 0. Calculate u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(180) + (sqrt(5) - (sqrt(20)\/sqrt(4) + -2))).\nAnswer: 8 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 608195.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 10*p - 3. Suppose -2*u = 43*u + 225. Give v(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u + 2748 = 3038 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -6. What is the smallest value in -2, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 323?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 0*y - 3\/2*y**2 + 13\/24*y**4 - 5\/2*y**3 + 15. Let k(v) be the second derivative of n(v). Differentiate k(w) wrt w.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 64*r + 952. Calculate x(43).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 678*951\/(-19020)*10\/3.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/5*(-10)\/(-4). Let q(j) = -2*j - w*j - j + 7*j. Let f(s) = -10*s**2. What is f(q(g))?\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/((9\/(-6))\/(600\/(-32))). Solve -t*a + r = -4, -10*r = -11*r + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(5805\/(-2)))\/(1335\/(-225) - -6)\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 34*l**2 + 9*l. Let v(f) = -102*f**2 - 30*f. Let p(b) = 10*t(b) + 3*v(b). Let k(j) = 5*j**2. Give p(k(a)).\nAnswer: 850*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 22 = -2*g + 3*s, -5*g + 23 = -2*s. What is the third derivative of 629*j**4 - 629*j**4 - 4 + 2*j**6 + g*j**3 - j**2 - j**3 wrt j?\nAnswer: 240*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 2*h - 14. Let f be -1 - (-1 - -21)\/2 - -1. What is z(f)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8 - -8) + -2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 3*j**2 - 4*j + 3. Let x be k(-4). Suppose l - 9 = 2*q, -2*l + q = -6*l + 36. What is the greatest common factor of x and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362938853 a multiple of 2835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 17*i**2 - 2*i + 4. Let p(t) = 3*t**2 - 6*t. Let s be p(2). Suppose 16 = -s*n + 8*n. What are the prime factors of w(n)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/6)*y**(3\/5)*((y\/(y**(-13)*y))\/y)\/y**(2\/13))**(-11) assuming y is positive.\nAnswer: y**(-54109\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14 - 6*k - 36*k**3 - 10 + 11*k**2 + 35*k**3. Suppose -2*o = 1 + 5, 49 = 4*n - 3*o. What is the remainder when 61 is divided by i(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 4*f - 31 = -a, -a - 23 = -4*f. Is 132\/(-15)*f\/(-12)*150 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-2\/7)))\/q**7*(q**8\/q)\/((q**6\/q)\/q))**(-7))**(-2\/77) assuming q is positive.\nAnswer: q**(-60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49, 99, 149, 199, 249, 299?\n\"Answer: 50*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 168\nAnswer: -11\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ononno?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 11. Let t(b) = -2*b**2 + 17*b + 17. Let z be t(6). Suppose -8*q + 25 = -z. Give s(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2149, 3, 2\/3, 5, -2\/13, 0.6 in descending order.\nAnswer: 2149, 5, 3, 2\/3, 0.6, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 303*y - 307*y - 3*l, -l = -3*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -225\nAnswer: 4\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*b**3*w**2 + 4*b**3*w + 509*b**2*w**2 + 3*b**2*w + 1138 wrt w?\nAnswer: 82*b**3 + 1018*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 - 15*u**2 + 161*u - 715. Calculate c(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360649839 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6968 - -6981. Let y = -36 + 51. What is the remainder when y is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*((-84)\/(-7))\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*i**2 - 1)*(5*i - 5*i + 2*i) + i**3 - i**2 + i**2 + (-1 + 1 + i)*(98*i**2 - 24*i + 24*i).\nAnswer: 89*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -27, -47, -67, -87, -107?\n\"Answer: -20*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * 27052.6\nAnswer: 4057.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - -0.59. Let d = -0.22 + f. Put -0.4, d, 2\/3 in ascending order.\nAnswer: -0.4, d, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10120242 and 0.3.\nAnswer: 10120242.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4074*g + 93682. Give o(-23).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - r = 12495, -68*q + 72*q + 5*r - 12477 = 0. What is the remainder when q is divided by 1033?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2474087, 2474093, 2474101, 2474111, 2474123, 2474137, 2474153?\n\"Answer: g**2 + 3*g + 2474083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -a91a0?\nAnswer: a9197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -4*r**3 + 24*r**2 - 44*r + 24 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -7*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose -23 + 7 = -c*z. Suppose q + q = z. Solve q*a + 21 = x, 12 = -4*a + 2*x - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9 - (-3)\/(-6). Let r be ((-5)\/(-2))\/((-1)\/(-2)). What is the third biggest value in r, -2\/7, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-6)\/(-72)*(-27)\/24\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 141. Suppose -4*b = -20, -74 = 3*l + a*b + 6. Is l at most as big as -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) -19 (d) 0.2 (e) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - b**2 - 56*b - 13. What is o(7)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 2:04 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*l - 3*l. Let n(s) = -s**3 - s**2 - s + 78. Calculate the remainder when n(l) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*l + 45, -2*r - 10 = -3*r + l. Suppose 0 = 3*i - 3, 5*s - 3*s + r*i = 11. Solve 21 = s*a + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:37 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 s when three letters picked without replacement from qfuqssuuspqspuxuxup.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 29, 0 in decreasing order.\nAnswer: 29, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4251285719 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32095469883\/5000 + 6419094. Find the common denominator of -29\/16 and a.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20010002110 (base 4) to base 16.\nAnswer: 204094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -162563.841 to the nearest ten.\nAnswer: -162560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 9*n + 26, -3*n + 2*a = a + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.25 (b) -7 (c) -1.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let y(x) = 2*x**3 + 4*x**2 + 20*x + 12. Let d(p) = -p**3 + p**2 - p. Let z(v) = -3*d(v) - y(v). Let i be z(9). Do i and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180*s**2 + 33 - 67 + 34 to the form g*s**2 + d + n*s and give g.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 5*y**2 - 2*y**2 + (-4 - 2 + 5)*(-y**2 + 0*y**2 - 5*y**2) - 2*y**2 - 4*y**2 - 2*y**2 + y**2 - 3*y + 3*y.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:20 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 20. Let c = v - 7. Let i(z) = -z**3 + 9*z**2 - 5*z + 2. Calculate the remainder when i(c) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 40 = x, 2*z - 3*x - 24 = -0*z. Suppose j = -3*j + 72. Suppose -4*h + 1 = -19. Solve j = -3*p - p - w, z = -2*p - h*w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -5508557?\nAnswer: -5508557.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17334.991 rounded to the nearest one hundred?\nAnswer: -17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 259 - 280. Sort b, -5, -1.\nAnswer: b, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180098 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287655 = -3625*l + 104639 - 33419 for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 9 = -4*v, -s = 5*v + 12 - 28 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.5066259 seconds?\nAnswer: 506.6259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 21*u = -3*n + 12, -5*n = -25 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**2 + 467 + 7471841*v**3 - 7471842*v**3 + 4*v + 286 to s*v + z*v**3 + t + k*v**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-8 - -6) + 0 + -6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 198\/165*75\/(-70)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 11:24 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/((-552)\/156)*21\/39?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y - 4. Let k(h) = -2*h - 2. Let u(d) = -3*b(d) + 8*k(d). Calculate u(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287215131 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15308 - -15305. What is the closest to 1209 in -0.5, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 44 = 52. Solve 4*b + o*y = -2, y = -2*y - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -2*t. Let v be 1 + -1 - (-4 + t). Suppose -v*p + 19 = -87. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 540 = 3*q. Calculate the greatest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:39 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 6. Let f = 24.4 - 22. Let r = -2 + f. Which is the second biggest value? (a) w (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/3050 and -11\/300?\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 353 - -103. Calculate the remainder when 475 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868924 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let k(u) = 732*u. Determine k(p(g)).\nAnswer: -1464*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 54544?\nAnswer: -54545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 10 - 11 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbn. What is prob of sequence nbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*p + 106*p. Solve 22*v + 10 - 76 = p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 5) to base 14.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/((p\/((p*p**0)\/p))\/p))*p*p**16*p assuming p is positive.\nAnswer: p**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -162692.4147 rounded to the nearest one thousand?\nAnswer: -163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -72 + -268?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 711780*z - 25331538420.\nAnswer: -5*(z - 71178)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:35 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 741872 and 39800?\nAnswer: 18546800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5 - 56\/280.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {j: 8, x: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36.5 + 36.50000882. Round s to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 25*t**2 + 12*t + 17. Let c be d(-12). Let a(w) = -w**3 + 19*w**2 - 32*w - 20. Let r be a(c). Suppose r*k - 18*k + 40 = 0. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3370 is divided by 117.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -5, -1, 14581, -11 in decreasing order.\nAnswer: 14581, -1, -2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 2)\/(3\/13). Let g = 18 - x. Is g at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 10 + 0 - 30 = -4*s + 16, 5*u - s - 52 = 0 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 48. What is the remainder when 10 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Let n(g) = -3*g**2 - 3*g**2 + 2*g**x. Let s(q) = 39 + 2*q - 39. Calculate s(n(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 + 60*j**2 + 300*j + 500 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 66 and 201718419.34.\nAnswer: 201718485.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5405*-3.\nAnswer: -1.6215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 35. Let x be l(-11). Suppose -x - 106 = 8*y. Suppose 0 = -5*p, 5*p - 2*p = 5*z + 90. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a + 11*a**3 - 12*a**2 - 17*a**3 + 4*a**4 - 19*a - 2*a**4 = 0 for a.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:47 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006866 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -4. Let v = 1070 + -414. Suppose k*o - v = 2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 55. Let s be -3*(-1 + (-3 - -3)). Sort x, s, -5.\nAnswer: -5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 37 - 37 as k*x + d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*a**2 - 469*a**2 + a**3 + 3*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -11 + -9 + (0 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/25*(-32)\/9360*25?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -42, -149, -362, -717, -1250, -1997, -2994?\n\"Answer: -6*h**3 + h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 430402 (base 5) to base 8\nAnswer: 34215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445283085.\nAnswer: 3, 5, 29, 1433, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 12*n**2 + 56 - 13*n - 54 + 11*n. Let h(f) = -f**2 + f - 1. What is -2*h(w) - r(w)?\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*k + 2*k**2 - 4 + 6 - 2.\nAnswer: 2*k**2 + 266*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*h. Let q be h\/2*(-7 - -7). Solve -15 = 5*x, q = -4*v - x + 4*x + 17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/(-36) + -4)*-5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -333.158 + 0.061189\nAnswer: -333.096811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4\/7 - 72*y**3\/7 + 468*y**2\/7 - 1296*y\/7 + 1296\/7.\nAnswer: 4*(y - 6)**2*(y - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 511717093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 6. Let t be d(4). Is 2 + 82 + (-2)\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 185 (b) 2\/13111 (c) 1\/3 (d) -1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 599, 610, 629, 656, 691, 734, 785?\n\"Answer: 4*q**2 - q + 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 + 0*h**3 - 3*h**3 - h + 4*h**3. List the prime factors of y(-5).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 89522.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 6. Let m(w) = 96*w**2. What is m(k(i))?\nAnswer: 96*i**4 + 1152*i**2 + 3456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/20? (a) -2 (b) -6 (c) -5 (d) 0.28 (e) 4\/5 (f) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f - 10 - 2*f + 4. Let k(o) = -o**3 - o**2 + 2*o + 4. Let u be k(0). Let n(m) = u + 4 - 5 - 2. Determine 5*n(p) + t(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*i**4 - 107*i wrt i.\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204639286 to the power of 1\/2, to the nearest integer?\nAnswer: 34708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -0.9.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 620.5624 tonnes?\nAnswer: 620562400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 4 (c) -2\/5 (d) 0.88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -59 - -62. Solve -r*m - 11 + 2 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssss. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1064229*y**2 + 3784508*y + 1?\nAnswer: -2128458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/(-30))\/((-1)\/5). Let b = 36 + r. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**3 - h**2 - h + 1. Let x be b(1). Suppose 2*r - 3*q = 12, 6*r - x*r - 3*q = 12. Which is greater: r or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -16, -14, 3, 1, -2286, 5 in ascending order.\nAnswer: -2286, -16, -14, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(14\/7)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6182797059.10334117093 + -0.10334117093. Let j = -6182797091.00000027 + t. Let f = -32 - j. What is f rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107012?\nAnswer: 2, 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 76 = g, 129 + 119 = 3*g + 2*p. Let y be -2 + (g\/(-90))\/(5\/(-12)). Let r be 6\/(-15) - (-54)\/(-15). What is the fourth smallest value in r, 3, 1, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w**3 - 2*w + 2. Let x(f) = -16*f**3 - 5*f + 5. What is 10*u(v) - 4*x(v)?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 3299858?\nAnswer: -3299861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 times -9.67?\nAnswer: 1527.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**4\/12 - 4*h**3\/3 - 3*h**2\/2 - h. List the prime factors of t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g - g + 2*g. Let f be x(-4). Let j = f + 41. Calculate the remainder when 37 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -2 - 3 - 0) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/744 and 25\/273296.\nAnswer: 819888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 823016969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -5, -6, -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**2 + 3\/8*i**3 + 0 - 1\/4*i**4 - 1\/56*i**7 - 31*i - 3\/40*i**5 + 1\/10*i**6. Solve s(y) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 398 + 0 - (-11)\/((-132)\/24). Suppose -5*i - 2*y = -x, y = -2*i + 6*y + 141. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 5*m - 134. Let x be f(10). Suppose -513*k + 509*k = -x. Solve -3*b + 5*b = k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.139 * 70.2\nAnswer: 9.7578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*f**4 - 164*f**3 + 16*f**2.\nAnswer: -2*f**2*(f + 4)*(21*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 193 = -5*r, -4*r + 64 = n. Let p = -6 + n. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -167*z + 172*z, -5*y + 3*z - 21 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 901535 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13665.5 times -27\nAnswer: -368968.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 190839348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -1. What is the nearest to v in -9, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/2)\/9*-8. Suppose -54 = 2*l + 5*r + 8, 4*l = -f*r - 148. Let y = l + 41. Solve 10 = 5*g - t, 2*g - 31 = -y*g - 5*t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*w = 376*w + 12. Solve 0 = -p - w*p - 2*z + 12, -5*z = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 8 - 2 - (2 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 39 = -34 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 15. Let a = 14 - f. What is the second smallest value in 0.4, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*a = -10018 - 47228 for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 306\/9 + (-2507)\/92. Factor -3\/4*i**2 + 0 + u*i.\nAnswer: -3*i*(i - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -7 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 17*i - 708. What are the prime factors of i?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 523 + 101 = 4*g, -624 = -4*g - 5*n. Suppose 0 = -3*d - d + g. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 3 - 0)*3. Let n be (-6)\/(-9) - 126775\/h. Suppose 11659 = -3*m + n. What is m rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.35 and 567.69.\nAnswer: 566.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33358, 33276, 33194, 33112, 33030, 32948?\n\"Answer: -82*u + 33440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 1\/6*u**4 + 1\/9*u**2 - 2\/45*u**5 - 2\/9*u**3 + 1 + 0*u. Find q, given that d(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59 times 3495?\nAnswer: 5557.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12624 and 152803?\nAnswer: 7334544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 - 8*s**2 + 3*s**2 + s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 93, 259, 505, 831, 1237?\n\"Answer: 40*v**2 + 46*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 418108*f\/3 + 4320129.\nAnswer: (f - 418077)*(f - 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -3, 3162, -89\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/12 + (-117777)\/(-8514)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33104 and 2?\nAnswer: 33104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143742105*a**3 + 648506647*a**2 wrt a.\nAnswer: 862452630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 476544 (base 9) in base 12?\nAnswer: 11a07a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*p - 110*p + 2*p + 964 - 951 - 8*p in the form f*p + n and give f.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -2 + 9\/(-1) + -3. Let f be (-2 - 266\/(-4))*116\/(-783). Are f and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020182 rounded to 5 dps?\nAnswer: 0.00202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 11:26 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 3 (c) -80 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -484 + 866. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from jtbcqcz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7002*u**3 + 8262*u - 8262*u - 5589 - 5516*u**3 wrt u.\nAnswer: -37554*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-12 - -8 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2970*b. Let u(i) = 1197*i. Determine n(u(r)).\nAnswer: 3555090*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 17.131\nAnswer: 411.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 22\/9 (b) 2\/13 (c) -1.6 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11989708 is divided by 159?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (284\/(-8))\/((-106)\/52 - -2). Let d(a) = l - a**2 - 923. Let k(p) be the first derivative of -4*p**2 - 1. Give k(d(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2667713 (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 33. Give s(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 - 17*i**2 - 4*i - 2. What is p(4)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3 - 18*h + 11*h - 14*h**2 + 3*h + 14*h**4 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -n, 0*n + 4*n - 5 = 9*f. Which is smaller: f or -1\/775?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7099, 7103, 7107?\nAnswer: 7111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -29\/4*v**4 - 45 + 0*v + 0*v**3 + 10*v**2. What is the second derivative of u(j) wrt j?\nAnswer: -174*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 121?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1353 - 814 + 743)*(-10 + 10 - 9*g) - 6*g + 2*g + 3*g to the form k + r*g and give r.\nAnswer: -11539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 628, 647, 678, 721, 776, 843, 922?\n\"Answer: 6*s**2 + s + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 121, 99, 77, 55, 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 265 in decreasing order.\nAnswer: 265, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + ((sqrt(1573) - (5 + sqrt(1573) + 0) - sqrt(1573)) + sqrt(1573) - (3 + 3*sqrt(1573) + sqrt(1573))) + 4))**2.\nAnswer: 4400*sqrt(13) + 629300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, -723 in descending order.\nAnswer: 3, -0.3, -723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1694) - (sqrt(1694) + sqrt(1694)*-2*-1 - sqrt(1694))))\/(sqrt(175)*1*-2 - (sqrt(175) + sqrt(175)*2)*2))**2.\nAnswer: 121\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60150.585 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - -202)*8\/10. Suppose 228 + b = 7*c. What is the highest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (4 - 2) - 3. Let a(m) = 8*m + 2. Does 9 divide a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143 - 112 - 2510*i - 31)*(-3 + 2 + 2)*(-1 + 0 - 1) to u*i + d and give u.\nAnswer: 5020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*u - 700 = -14*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 7*s**2 + 4*s - 2. Let i be l(-6). Let x be 34\/i - 6\/15. Let y(p) be the second derivative of p**4\/12 - 3*p**2\/2 + 4*p. Calculate y(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2644067*z**4 - 1652159*z wrt z?\nAnswer: -31728804*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 2727995*t - 2728000.\nAnswer: 5*(t - 1)*(t + 545600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -2221110122?\nAnswer: 2221110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*c + 3*v + 3, -3*c - 22 = 2*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78821 (base 12) to base 6.\nAnswer: -3233241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48243310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 2113335351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 19032 = -39533. Suppose 21*k - 26*k = -n. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8834911 centuries to months.\nAnswer: 1060.18932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -2, 3 in descending order.\nAnswer: 3, -2, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21626 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 129, 256, 383, 510, 637?\n\"Answer: 127*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 119746*x**2. Let k(u) = 3*u**2. Determine k(a(q)).\nAnswer: 43017313548*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49156236 is divided by 317.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 - 88 = -719*d + 777*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(16 + (-117)\/9). Let x(k) = 5*k**2 + 3*k. Let d(g) = 90*g**2 + 55*g. Determine c*d(t) + 110*x(t).\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -55 + (5 - (13 - 18)) + 13?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*b + 23*b + 51 = -5022 for b.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3752999 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 25. Give j(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 9 = k - 47, 0 = -2*r - 6. Suppose 4*q - k = -2*v, -v - 2*v + 2*q + 8 = 0. Is (1 + 380)\/(v\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -103*a + 1368. Let g be x(13). Let k(j) be the first derivative of 1\/12*j**6 - 1\/6*j**3 + 1\/10*j**5 + 0*j + 0*j**2 + g - 1\/8*j**4. Factor k(i).\nAnswer: i**2*(i - 1)*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*b**2 - 9*b**2 + 11*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 - 4*m**2 + 8*m - 4. Let y be (5 + -11 - -2)*4\/(-16)*-5. What is h(y)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**6\/60 + h**5\/30 - 153*h**2. What is q in v(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 4*q - 22 - 2, 4*l + 6 = -2*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 1. Let h be t(1). Suppose h*v = -3*s + 967, 5*v - 5*s - 2475 = -s. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2199 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 571, 0, -1\/5 in decreasing order.\nAnswer: 571, 0, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 3432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/4 + 4*r**3\/3 + r**2\/2 + r + 658. Determine w(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 464*m*x**5 - 8*m - 2*x**5 + 19*x wrt x?\nAnswer: 9280*m*x**3 - 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -211550 + -33?\nAnswer: -211583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 948 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or -5525?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19662 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/2)\/(-5)*107\/((-229515)\/468)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let l(f) = 27*f - 2305. Let i(g) = 43*g - 3457. Let a(r) = 5*i(r) - 8*l(r). Calculate w(a(k)).\nAnswer: k - 1155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 74 - 68 - (1 + -256)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6 (b) -0.4 (c) 210 (d) 1 (e) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 52*x**3 - 2704*x**2 - 28*x + 1396. Calculate y(52).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12469476 divided by -564.\nAnswer: -22109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h + 75. Let q be s(-24). Let f = -17 - 2. Let r = f - q. Solve -2*u = r*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 0*g**2 + 2\/23*g**3 - 8\/23*g + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/358 or 0?\nAnswer: 3\/358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2541 and 58927?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-6)\/1 + (-12)\/(-5). What is the closest to -4 in r, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxw when three letters picked without replacement from {x: 1, k: 1, w: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -2412031300?\nAnswer: 2412031251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/(-10) - (-2 + 6). Let v = 0.1 - 0.9. Let y = 0.2 - v. Which is the closest to y? (a) -2\/19 (b) n (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/1 + 7820\/782\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 3. Let f = -8987172305\/2236 + 4019308. Let h = -3\/172 + f. Sort h, n, -0.4 in ascending order.\nAnswer: n, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 66. Let z be r(-21). Let i = -9 - -13. Suppose -2925 = -3*k - z*s, i*s = 4*k - 5934 + 2002. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*k - 7*k + 293 = 0, 4*b + 2*k - 388 = 0. Suppose 0*t - 9*t = -b. Suppose 9 = 10*u - t. Calculate the least common multiple of 48 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/((-780)\/40))\/(-13).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q - 12 = 0. Let p be (6\/q)\/((-6)\/(-8))*-1. Suppose -2*s + 3*h + 1004001 = p*h, -2*s + 1004005 = -5*h. Round s to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -10*m - 13. Let t(b) = -b - 2. Let l(z) = p(z) - 6*t(z). Let u(h) = 2*h**2. Give l(u(x)).\nAnswer: -8*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 292617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 675, 1508, 2683, 4206, 6083, 8320, 10923?\nAnswer: 13898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109399.096867 + -109399. Let f = -0.097 + a. What is f rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 228*o + 319 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 55*k**2.\nAnswer: 5*k**2*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*x**3*z + 12*x**3 - 4*x + 4*z + 14 with respect to x.\nAnswer: 15*x**2*z + 36*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 20*m = 60 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 47*z**2 - 383*z - 234. Give y(-54).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005030478 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - z - 1 + (2*z + z - 2*z)*(0 - 5 + 7).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-18) - (5 - 3). Let i = -0.7 - -0.2. Let z be 0 + (-5)\/((-25)\/2). What is the biggest value in u, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrr when three letters picked without replacement from {h: 3, r: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -130485, 3, -5 in descending order.\nAnswer: 3, 0.5, -5, -130485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 950 and 304.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*r*t + 2*g**2*r + 26*g**2*t**2 + 129*g*r*t**2 + 3341*r wrt t.\nAnswer: g**2*r + 52*g**2*t + 258*g*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 7, -2, -19?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -23. Let m(j) = -1546*j + 29762. Calculate the remainder when m(19) is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 8130, 2, 1, -3 in decreasing order.\nAnswer: 8130, 16, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 5*j - 4. Let f(s) = 3*s**2 - 15*s - 11. What is -3*f(m) + 8*r(m)?\nAnswer: -m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222122120101 - 1002?\nAnswer: -222122121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 0 = 2824*i - 2828*i, 2*s = 2*i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/10, 2059, -722?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 242103356107432 and 3?\nAnswer: 242103356107429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164133 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/55 and 10\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 383*o - 152. Give j(127).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1647, -3293, -4937, -6579, -8219, -9857, -11493?\n\"Answer: l**2 - 1649*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*q + 251 = -p, -3*p + 4*q + 247 = 0. Is 1 + (-552)\/(-7) - (-11)\/p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 669 and 330263?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4356\/27*(-45)\/60)\/(((-1)\/(-1))\/1).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 108 - 108 + 14*d**3 + (2*d + 0*d - 4*d)*(d - 2*d**2 - d) - 2*d**3 + 5*d**3 - d**3 + 5.\nAnswer: 20*d**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 1. Let d be f(1). Let o = 54 - 45. Let m(u) = -7*u - 1 + 2*u**2 - u**d + o + 0*u**2. Calculate m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, e: 3, t: 2}. Give prob of sequence ee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 5*w - 6. Let i be z(-4). Let p be 12\/15*(-5)\/i. Let f be -1 + (p - (-8)\/(-6)). Which is the nearest to -1\/2? (a) f (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 39 = 17*c. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.024 - 2.224. Let n = -77.2 - t. Let k = n - -52. Which is smaller: 0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/594*3\/((-60)\/2)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 148*b**3 - 6*b**2 - 14*b wrt b.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y**3 - 5*y**2 + 119*y - 10. Let d(c) = 5*c**3 + 3*c**2 - 59*c + 6. Determine 5*d(s) + 3*g(s).\nAnswer: s**3 + 62*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 36 = 3. Calculate the highest common factor of 44 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1326 divided by 78.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - i - i + 8 + 10*i + 20*i + 45*i - 2*i - 2 + 2 + (0 - 4 + 5)*(-i + i - 2*i) to the form r + t*i and give t.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1959099424.\nAnswer: 2, 19, 61, 101, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41 - 993000?\nAnswer: -992959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/18*(81243\/(-102))\/(-59)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/150 + f**4\/60 + 2*f**3\/5 + 9*f**2\/2 - f + 8. Let z(y) be the first derivative of n(y). Let z(v) = 0. Calculate v.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 2*b - 2. Let l be a(2). Which is bigger: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1512842*l**3 + 151780*l?\nAnswer: 9077052*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, -1, -0.5, -376810?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36466, -145809, -328046, -583177, -911202?\nAnswer: -1312121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - (-5)\/((-10)\/(-16))) + 3 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022425 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 + -36. Let m = b + -11. Suppose -2*u - n + m = 0, -3*u + 14 = -3*n - 2*n. Solve 0 = q - u*q + 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3226 - 1256.15.\nAnswer: 1969.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1. Let i(l) = 93*l + 94*l + 87*l - 376*l - 3 + 98*l. Determine i(a) - 3*z(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 4*1\/(-2). Is 5*o*(-446)\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*y - 876 = 0. Suppose y = -8*m + 3*m + g, m = g - 26. Let n = 34 + m. Is n < 34\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142357410 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -122?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -9. Let a be ((-3)\/2)\/(6\/y). What is the third biggest value in a, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50362?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**3 + 34*v**2 + 9*v + 12. Let w be f(-4). What is the greatest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l. Let i(t) = -t**2 - 3*t - 1. Let q(j) = j**2 - 8*j. Let b(r) = -i(r) + q(r). Determine 3*a(m) + b(m).\nAnswer: -m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8852874 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 601143973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.1620575 and 36433.\nAnswer: 36436.1620575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 5 - (-8 + 0 + -1 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*a**2 + 420*a + 26306 wrt a?\nAnswer: -12*a + 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3555487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12717 + 254237\/20. Let o be ((-6)\/4)\/(2\/3028). Let j = o + 9015\/4. Calculate the common denominator of i and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1253 - -1258. Let z(i) be the first derivative of 2*i**4 - 2\/5*i**o - 9 - 2*i - 4*i**3 + 4*i**2. Factor z(r).\nAnswer: -2*(r - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 1 - ((60 - 59) + (-8 - -2))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -212, -5, -1, 1000.\nAnswer: -212, -5, -1, 5, 1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0325 - 95.9675. Let b = 178857683.999557 + -178857588. Let u = b + q. Round u to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.71, 3, -1\/9, 435\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102599580 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.99999504 - -10. Round u to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183373998 - 183370029 = 147*l for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-124)\/(-44) - 2\/(-11). What is the third smallest value in 0.4, 2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.6. Let d = 2 - 13. Let l = d + 11.2. Which is the nearest to -2\/5? (a) l (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187114?\nAnswer: 2, 93557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + v**2 + 0*v**2 - 23*v**3.\nAnswer: -23*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/2))**(-2\/9)*n*n**(-1\/2)*n**(-3\/2))**45 assuming n is positive.\nAnswer: n**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522088.9cm to nanometers.\nAnswer: 5220889000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 7:45 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*g**2 - 218*g + 7280.\nAnswer: -2*(g + 40)*(5*g - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 219983, 1\/4, -0.1, 170 in descending order.\nAnswer: 219983, 170, 5, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-165)\/20*164\/(-6). Let v = 6549717\/14 - 468069. Let d = a + v. Calculate the common denominator of d and -91\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 2442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*h - 25, 0 = -0*f + 3*f - h - 59. Suppose -3*l + 15 = 0, -l + 5 = -5*p + f. Suppose p*u - 28 = 3*u - 4*a, 2*u = -2*a + 74. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 730842*f**3*k**2*y + 6*f**3*k**2 + 2*f**3*k + 136745*f**2*k - 4*f*k**2 - 37*y wrt y.\nAnswer: 730842*f**3*k**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q + 16. Calculate the lowest common multiple of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) 72 (c) 8 (d) 0.1 (e) -0.2 (f) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-9))\/((-290)\/1044)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 3*z - 28. Let h = 52 - 30. Calculate the greatest common factor of z and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 61.5. Let c = t - 61.61. Let p = -0.09 + c. What is the biggest value in 10\/7, p, -0.4?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1312*u + 3687*u**4 + 2634*u - 1321*u + (2*u**2 + 2*u**2 - u**2)*(-u**2 - 1 + 1) in the form p*u**3 + o + c*u**2 + n*u**4 + k*u and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 3*a - 22 + (-2*a + a + 3*a)*(-1 - 2 + 4) + 2*a - a + 0*a + (-2*a - 2*a + 3*a)*((-1 + 0 + 0)*(-6 + 5 + 3) + (1 + 3 - 2)*(-2 - 4 + 5)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 0*k**4 + 0 - 16\/3*k**3 + 0*k**6 + 0*k**5 + 32*k**2 + 16\/105*k**7 + 0*k. Find the first derivative of h(l) wrt l.\nAnswer: 128*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kokoo. What is prob of picking 1 k and 3 o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -37*j**7\/105 + 17*j**4\/12 - 15*j**2 - 4. What is the second derivative of q(b) wrt b?\nAnswer: -888*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2524361 != -2524362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*c + 44, -c - 24 = -3*v + 4. Let f(l) = l**2 - 17*l - 28. Let s be f(c). Round s to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280279093 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/2 of a meter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 407786\/10533?\nAnswer: 407786\/10533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.5134 + 10422312637\nAnswer: 10422312636.4866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 15, -1, 1\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3859 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325458699 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48 + 12*j**2 - 111*j**2 - 15*j + 17*j wrt j.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -5, 0, -1 in descending order.\nAnswer: 0, -1, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -17*u. Let f be 3\/(-1)*9\/(-3). Suppose f + 1 = -2*q. Which is the nearest to 1? (a) 0.4 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -d3ba78?\nAnswer: d3ba77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000196312876 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6574.908 kilograms to micrograms.\nAnswer: 6574908000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 w when four letters picked without replacement from kwwkkwwwkwbwkb.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 27, 31, -130 in ascending order.\nAnswer: -130, -5, 27, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43*(-174)\/13717)\/(1\/121).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-4)\/(-30) - (-2851604)\/(-882)*(-3)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 2*q**3 - q**3 + (3 + 2 - 6)*(0*q**3 + 0*q**3 + q**3) - 2*q**3 - q**3 + 5*q**3 + q**3 + q - q - 2 + 2 - q**3)*(4*q + q + 0*q).\nAnswer: 15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44434 - -5?\nAnswer: -44425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -517647956, -1.\nAnswer: -517647956, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1*i)**(11\/3)\/(i**(1\/7)\/(i**(1\/6)*i)))\/(i**(-7)*i**(-7)*i)**(2\/13) assuming i is positive.\nAnswer: i**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -17*r**2\/2 + 110*r + 4976. Give z(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, z: 2, x: 2, n: 2, v: 9}. What is prob of picking 1 c and 1 n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101 + 35. Let t = z - -261\/4. Let q be (-1 + 3)*3\/6. Which is the smallest value? (a) q (b) t (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -5 (c) 3 (d) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/10 + 122\/10. Let r be (-3)\/u*4\/(-5). Let f be 8 - (16\/(-18))\/(2\/(-17)). Which is the third biggest value? (a) -2\/5 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 8*t + 1. Let j(l) = 0*l + 0*l + 6*l + 1 + l. What is 4*j(b) - 3*y(b)?\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 - w**4 + 0*w**4 + (-10*w**3 - 11*w**3 + 2*w**3)*(-3*w + 0*w + 6*w).\nAnswer: -61*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d. Let x be j(0). Suppose 5*r = -2*o + 12, 4*r = -4*o + 5 + 7. Factor -2\/7 + 2\/7*k**r + x*k.\nAnswer: 2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 5*x + 3. Let t be j(4). Let u be t\/(-6) - (1 + -4). Which is the nearest to u? (a) -3\/2 (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**2 - 12*r**2 + 21*r**2 + 10*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 188250323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 22769*j + 182147. Calculate t(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 461842 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x**3*z - 1587*x**3 + 4*x**2*z - 475*x**2 - 10*x*z - 252340*x wrt x?\nAnswer: 6*x*z - 9522*x + 8*z - 950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - p**2)*(12*p + 12*p + 3*p) + 2*p**3 + 0*p**3 - 3*p**3 in the form z + b*p**3 + k*p**2 + r*p and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236181?\nAnswer: 3, 11, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 4*n - 1. Let m be y(-4). Let d(w) = -w. Let v(o) = 2*o + 1. Let j(s) = m*v(s) - 3*d(s). Determine j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, -5, 1, -9, -2, 20 in increasing order.\nAnswer: -50, -9, -5, -2, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*j - 90205 = 0, -j = -11*q + 14*q - 54112. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16269676 divided by 124196\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -36.5. Let v = z - 13.1. Which is the fourth biggest value? (a) -1 (b) -0.4 (c) v (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2149383*m**3 - 1825035.\nAnswer: 6448149*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + sqrt(396) + sqrt(396) + 2.\nAnswer: 1 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (2 - 2 - -2). Suppose 4*d - 3*u - 8 = 0, n*d + 3*u = 2*u + 4. Is d*((-524)\/(-8) - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96651969?\nAnswer: 3, 229, 269, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -7*b + 8*b. Let j = 3 + b. Solve 1 = -h, -4*h = j*m - 2 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7809644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let d(s) = -1. Let f(r) = 2*d(r) - l(r). Let g be f(3). Let w(p) = -p - p**2 - 2*p - 2*p - g. Give w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256 - -229. What is the units digit of 15116\/36 + (-3)\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43592\/31 + 2811\/2. Let r = n - -6\/31. Let t = 1 + -4. Which is the closest to r? (a) -1 (b) t (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o**2 - 1)*(-2*o - 43 + 44 - 53).\nAnswer: -4*o**3 - 104*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 - 2*d + 12. Let g be k(10). Let z = g - 413. List the prime factors of z.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + 26 + -24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.99 + -2.19. Which is the closest to w? (a) -0.2 (b) -5 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 90. Suppose 5*t - l = 134, 3*t - l - h = 2*l. Suppose 0*b = 2*b - t. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21023604 and 567.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6231532?\nAnswer: 2, 1557883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 111991, 111465, 110941, 110419, 109899, 109381, 108865?\n\"Answer: b**2 - 529*b + 112519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwgswefwggwwwefff. Give prob of sequence gw.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-18) + 14\/3)\/((-36)\/4 + 4).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + -3a5ab?\nAnswer: -3a5b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28532*y**2 - 28575*y**2 + 57111*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 237006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyayanyyaan. What is prob of picking 2 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19049 (base 16) in base 15?\nAnswer: 20568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3032*f - 93991. Determine q(31).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 29*y**7\/42 + 11*y**4\/4 + 6*y - 41. Let d(o) be the first derivative of r(o). Find the third derivative of d(z) wrt z.\nAnswer: 1740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 142830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368*w - 2813*w + 1362*w - 7553 = 0 for w.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b - 2. Calculate the lowest common multiple of 10 and m(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 356700 and 214020.\nAnswer: 1070100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -249.62 + 250.42. Put 0.5, v, -0.0554, -0.4 in decreasing order.\nAnswer: v, 0.5, -0.0554, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85133, -170240, -255359, -340496, -425657, -510848?\nAnswer: -596075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 17*o - 1581. What is s(-23)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-4 - 12\/(-4)). Suppose 0*s + s + s = k. Suppose 4*v = -3*c + 29, -5*v + s*c = -c - 22. Solve -v*x = -0*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*q**3 - 95*q**3 - 97*q**3 - 96*q**3 + 381*q**3 + 1 - 22*q**2 + 3*q**4 to the form n*q**4 + b*q**2 + l*q**3 + j*q + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*s - s - 2*s)*(-s + 0*s - s) - 3*s + 3*s - s**2)*(83*s**3 - 10*s**3 - 37*s**3).\nAnswer: -324*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 2:20 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c + 8. Let p(o) = 2*o**2 + 7*o - 2. Let x(n) = 20*n**2 + 84*n - 24. Let q(s) = 12*p(s) - x(s). Calculate q(w(b)).\nAnswer: 100*b**2 - 320*b + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e88e + -5?\nAnswer: -9e894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1107743*d**2 - d - 156192 wrt d.\nAnswer: -2215486*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 31, 62, 117, 202, 323, 486, 697?\n\"Answer: b**3 + 3*b**2 - 3*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31782298.\nAnswer: 2, 41, 53, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 749 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/20 - 345*b**4\/4 - 119025*b**3\/2 + 3801*b**2. Let q(a) = 0. Calculate a.\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + -1 + ((1 + sqrt(1700))*4)**2).\nAnswer: 960*sqrt(17) + 81642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/597 - 87763\/1194. Suppose -25*t - 1125 + 3075 = 0. Let y = t + m. Do 4 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 1. Let r be (6\/(-21))\/(2\/(-7)). Let w(g) = -8*g - 6. What is r*w(a) - 6*d(a)?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(1216))**2 + -1 + sqrt(19) + -3 - (3 + (4*(sqrt(228)*3 - sqrt(228)))\/sqrt(12))**2).\nAnswer: -282*sqrt(19) + 36402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2340 - -1?\nAnswer: 2341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 18*w**2 - 2*w - 17. Let d be o(-18). Suppose -u + 21 - d = 0. Suppose 5443 = 4*b + k, u*b - 4*k + 3*k - 2723 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*4\/(-2)*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21*o**3 - o**2 + o. Let f be y(1). Is 938\/5 + f\/35 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(294) - sqrt(6))\/(sqrt(3) + sqrt(36)\/(sqrt(48)\/sqrt(4)) - sqrt(3)).\nAnswer: 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.47 + 2621.\nAnswer: 2594.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2165904)\/(-208) - (2 - (0 - 0)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 e when four letters picked without replacement from zewewelweeezwwezew?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522*o**2 + 7*o**3 + 522*o**2 + 9*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -50 - -38 - (-33)\/3. Put -149, 1, d in increasing order.\nAnswer: -149, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 11*f - 6. Let k be b(4). Let i(s) = -s**2 - 12*s + 8. List the prime factors of i(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h = 9*h - 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 6 = 3*f, 13 - 1 = 5*f - 4*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 298*m - 292*m - 896958. Suppose 8*i - 78515 - m = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39648.72nm to kilometers.\nAnswer: 0.00000003964872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2 - 8. Let s(n) be the first derivative of -d*n + 1\/4*n**4 - 2 - 1\/2*n**2 + 0*n**3. Calculate s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 8:06 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**2 + t**2)*(-t + 2*t**2 + t)*(703*t - 1096 + 1096).\nAnswer: 2812*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.68909 millilitres to litres.\nAnswer: 0.04468909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 6)\/(23\/((-690)\/20)). Solve 2*g - 4*f = z, f - 17 + 2 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 910 and 4428723.\nAnswer: 310010610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198732580.\nAnswer: 2, 5, 9936629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 45 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 20*q**2 + 47*q + 65. Calculate c(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38859471?\nAnswer: 3, 7, 269, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-30)\/20 + 2\/20 and -57\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000 - 1100111101101100?\nAnswer: -1100111010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -22 - 19*v + 18 - 34*v - 74 + 6*v. Let n be l(-2). Is n >= 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59199\/53 - 1117. Suppose 6*k - k = 0. Do i and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4868 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25069063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w + 9*w = 20150. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 3) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 452210877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 0*g + 15 - 1\/2*g**2. Let v(l) = 8*l**2 + 6*l. Let j(p) = p**2 + p. Let b(m) = 6*j(m) - v(m). Give b(r(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -2*q - 5*x, 9*q + 4*x - 321 = 4*q. Let k = q - 60. Solve k*u = -2 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - -65630163?\nAnswer: 65630150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vddjdaradrrt. What is prob of sequence rjr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - y + 1. Let w(p) = 4*p**2 + 3*p - 3. Let t(z) = 3*g(z) + w(z). Let d(b) = -21*b. Determine t(d(r)).\nAnswer: 441*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62595.\nAnswer: 3, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 317997 + -143068. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 2. Suppose -4*x = -11 - h. Suppose -2*g = -5*i + 1 + 1, 4*i + 4 = x*g. Put g, -2, 7 in ascending order.\nAnswer: -2, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21678, -86661, -194952, -346539, -541410, -779553, -1060956?\nAnswer: -1385607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c**3 + 0*c**3 + 4*c**3 + (c + 2*c - c)*(-1 + c**2 + 1) to the form j*c**2 + w*c + f + k*c**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 2939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320102103 + 11?\nAnswer: 320102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 3362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-3) + 0 + 3. Let x = r - 1. Solve x*a - 3*a - 3 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120221222011 (base 3) in base 6?\nAnswer: -10422304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 966479 and 354?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 2*h**2 + 4*h**2 + 1 + 2.\nAnswer: h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11138 is divided by 734?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (1 - 2 - 15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -300, -13, -5 in ascending order.\nAnswer: -300, -13, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2340*r**2 + r - 10 + 10.\nAnswer: -2340*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/(-2) - 1876120\/(-37825).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 4*a**5\/5 - 4*a - 5. What is the derivative of c(g) wrt g?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*h**3*s + 4*f**2*h*s*y**2 + 13*f**2*s + f*h**3*s + 2*f*h**3*y**2 - f*s*y**2 - 2*h*s*y - s wrt f?\nAnswer: -4*h**3*s + 8*h*s*y**2 + 26*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -951*p + 27*p + 64*p + 251*p**2.\nAnswer: 251*p**2 - 860*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1183, -1190, -1205, -1228, -1259?\n\"Answer: -4*t**2 + 5*t - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - ((2 - -12) + (29 - 38))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h = -b + 5, -3*b = 4*h - 43. Let n(r) = r**2 + 5*r - 4. Let i be n(-6). Let k be (3\/i)\/(2\/4). Calculate the highest common divisor of b and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 102 + 0*h**2 - 101.\nAnswer: 7*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 474 = 23*s. Suppose -s = -4*l + 81. Solve 0 = 5*o + 4*g - l, -3*o - 3*g + 5*g = -2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.35, 4, 1\/3, 5 in descending order.\nAnswer: 5, 4, 1.35, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -g + 17. Suppose -5*h + 3*l + g = 0, 4*h = 2*l + 40 - 14. Suppose h*j - 42 = 5*j. Calculate the remainder when 41 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/12 - 19*y. Let s(g) = -2*g - 2. Calculate s(n(o)).\nAnswer: -2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*w - 3*w + 3*w)*(0*w - 4*w + 2*w) + (-w - 5 + 5)*(2 + 3*w - 2))*(-2 + w + 2) as x*w + j*w**2 + i*w**3 + p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 7. Suppose 2*g = 3*g - 5. Let d be h(g). Let z be 0\/(2\/((-2)\/d)). Solve 5*c + 10 + 10 = z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-16)*1430\/(-3575)*74*-2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5)*(39 - 34). Solve f*l + 8 - 6 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -3) + 9312\/360. Let v = 28 - y. Does v = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(8) + 3.\nAnswer: 2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -2*v. Suppose -2*w = 3*w - v*l - 15, l = 0. Solve -5 = 2*a + w*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/170 and (-48)\/(-6) + -7 + 77\/(-70)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3418360 divided by 8\nAnswer: 427295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3 + 10*i - i**2 - 3*i - 1 - 1. Let x be l(8). Let z(u) = -u**3 - 12*u**2 + 13*u + 7. Is z(x) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/8 and 27\/9 + 995\/(-410).\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.63 - -4.97. Let o = -5.5 + c. Let w = 0.1 + -0.2. What is the second smallest value in o, w, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2886*j - 11 = -2897*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64540190 divided by -9698\nAnswer: 6655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17394 is divided by 1241.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:00 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:46 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16380 = -14*b - b. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/743, -2\/43387, -4, 4.\nAnswer: -4, -3\/743, -2\/43387, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3\/7 - 90588*q**2\/7 - 362400*q\/7 - 362416\/7 = 0.\nAnswer: -2, 22651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8958*p = -9027*p - 1242 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 + (1 - 3 + 4)*(-2 + 6 - 3) + 1 + 0 - 2 + 6 - 1 - 3 + 1 - 3 + 0)*((-z - 2*z + z)*(-3 + 4 - 2) - 3 + z + 3 - 916*z + 1649*z - 212*z).\nAnswer: -524*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i - 1. Let z(h) = -h + 2. Calculate -3*q(m) - 6*z(m).\nAnswer: -15*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25108*p**2 - 1129704*p - 7020.\nAnswer: 4*(p - 45)*(6277*p + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10181 take away -100?\nAnswer: -10081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 677072779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36201418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5f0a4 (base 16) in base 12?\nAnswer: 169344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 7.9. Let z = -2.79 - 5.21. Let c = v - z. Sort c, -4, 0.3 in decreasing order.\nAnswer: 0.3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d**4 + 1408*d*o - 192*d - 10257092*o wrt d.\nAnswer: -32*d**3 + 1408*o - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, f: 4, k: 3, z: 3, h: 3}. Give prob of picking 2 z, 1 y, and 1 h.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -2.4 (b) -2\/7 (c) 2 (d) -6276\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 577.1236 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-12) - (-2)\/(-8). Suppose j*n = 3*n + 4*w + 12, 2*w + 6 = n. Suppose 0 = 3*x + 3*v - 42, x - 2*v - v - 22 = n. Does 8 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/8875 and 2\/75.\nAnswer: 26625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -1. Let r = 18 - h. Suppose -x = -3*x - r. Which is the second smallest value? (a) x (b) -0.1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.064 - 61.064. Let w = 61 + n. Which is bigger: 18 or w?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 1. Let f(d) = 4*d**2 - 7*d - 2. Let c(o) = -2*f(o) + 4*s(o). Let p be c(6). Let r = -14 - p. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = -4*t, -5*a + 6*t + 26 = 2*t. Suppose 5*x - f - 20 = 0, 16 = -a*x + 6*x + 4*f. Solve 0 = -4*l - 2*v + 2, 4*v = x*l - 7*l + 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 4*m**3 - 8*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 5*o**2 - 7*o - 5. Let a(y) = -6 - 210721*y + 210713*y - 6*y**2 - 2*y**3 + 6*y**3 - 3*y**3. Let z be 5\/(70\/12)*7. Determine z*g(n) - 5*a(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.69656228?\nAnswer: -0.69656228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110110210 (base 3) to base 14.\nAnswer: -3457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20971 at most as big as 21098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 1:33 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 978201.\nAnswer: -391280.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 5*i**2 - 2*i - 7. Let v be m(-5). Let w be v\/((-2)\/(16\/6)). Let d(r) = -r**3 - 3*r**2 + 2*r - 5. What is the units digit of d(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13633 + -473?\nAnswer: 13140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 84. Let d(v) = 24*v**2 + 3*v + 3. Let q be d(k). What is the highest common divisor of q and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 418*k**2 + 1261*k + 6. Let l be s(3). Solve l - 9\/4*y**2 - 1\/4*y**3 + 11\/2*y = 0 for y.\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 22. Let g = b + 9. What are the prime factors of g*(-3)\/((-18)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2755 is divided by 347.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (-1*sqrt(187)*5 - sqrt(187)))\/(sqrt(220)\/sqrt(5)) + ((-5*2*sqrt(102))\/sqrt(6) + 2*(sqrt(17) + sqrt(136)\/sqrt(2) + sqrt(17)))**2.\nAnswer: 7*sqrt(17)\/2 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*v + 236*v - 65 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s\/(s**(-4\/19)*s))\/s)))\/s*s)**(-2\/21) assuming s is positive.\nAnswer: s**(10\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.618 + -6.\nAnswer: -32.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 2*n**5\/45 - n**4\/6 - 8*n**3\/27 + 4*n**2\/3 - 1905. Suppose a(y) = 0. What is y?\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-6364)\/6 - (-3)\/9. Suppose 0 = -2*d - 577 - k. What is the hundreds digit of (-17)\/68 - d\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)*v\/(v**5*v*v) assuming v is positive.\nAnswer: v**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 + 0.2. Let l(h) = h**3 + 3*h**2 - 7*h - 9. Let p be l(-5). Let t = -25 - p. What is the third biggest value in c, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*q = 27, 5*r - q + 64 = 24 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200368 or 200367?\nAnswer: 200368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 35.9?\nAnswer: -7.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 8*m + 13*m + 35, -2*m - 16 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 51.9, -1\/4, -5\/4, 0.2 in descending order.\nAnswer: 51.9, 0.2, -1\/4, -5\/4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 12 + 16*z**2 + 0*z + 0*z**3 + 39\/4*z**4. What is the second derivative of k(d) wrt d?\nAnswer: 234*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -334, -5 in descending order.\nAnswer: 0, -5, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Suppose -z*o + 1 + 6 = -n, 0 = 3*n - 3. Solve -6 = o*m + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -520*k - 35 = 5*a - 1042*k + 527*k, a + 2*k + 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 6 - 15 + 16975*x - 3 in the form o*x + t and give o.\nAnswer: 16975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74003709 to the power of 1\/2, to the nearest integer?\nAnswer: 8603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4915 (base 10) to base 3.\nAnswer: -20202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325, -304, -283, -262, -241?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -739709.6698 to the nearest 1000.\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109231972 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 7 - 5 = -k, 4*r - k - 9 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171646470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/10 + (-217)\/420. Let y = -7761 + 7766. Sort 3, y, l.\nAnswer: l, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) -2\/3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57050618525\/2222 - -25675345. Let n = b - 36\/101. What is the common denominator of n and -87\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (1\/(-2))\/(2010\/(-260) + 8). Determine l so that -9\/7*l**2 + d - 3\/7*l = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u**2 - 3*u + 4. Let m be z(-3). Let k = 2 - m. Let f(h) = h**2 - 2*h - 78. Calculate the remainder when k is divided by f(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -734, 4.1, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10867 - 10910. Sort 3, 1, -41\/3, q in decreasing order.\nAnswer: 3, 1, -41\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44, 62, 96, 152, 236, 354, 512, 716?\n\"Answer: b**3 + 2*b**2 + 5*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*m**2 + 25*m**2 - 19*m**2)*(3*m - 4*m - 3*m)*(0 - 2 - 1 + 2 - 3 + 2 + 1 - 2 - 1 - 5 + 5 + 1 + (4 - 2 - 4)*(-2 - 1 + 4) + 1 + 3 - 2).\nAnswer: 516*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/4 (c) 3 (d) 10\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 3*v + v**2)*(-18*v**2 + 18*v**2 + 7*v**3 + (-1 + 1 - 2*v**3)*(2 + 0 + 0) + 4*v**3 + 0*v**3 - 3*v**3 + 2*v**3 + 4*v**3 - 5*v**3 + v**3 + 1 - 1).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775289550.\nAnswer: 2, 5, 5297, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 806351700 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + y - c - 8 = 0, 14 = y - 3*c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.337 less than -364.1?\nAnswer: -364.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4 + (sqrt(7) - (sqrt(7) + sqrt(28))).\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5514748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - x**2 + 5. Let c(o) = o**3 - 2. Let r(j) = 4*j - 10. Let y be r(2). Determine y*n(b) - 5*c(b).\nAnswer: -3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-108)\/(-15))\/6)\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 11013212?\nAnswer: -11013154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*f**2*p*v - 14*f**2*p - 44*f*p + 6*f - 4834*p*v - p + 3*v + 3 with respect to f.\nAnswer: 30*f*p*v - 28*f*p - 44*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11970 and 420?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m + 27*m - 14*m + 4 - 11*m. Let v be c(14). Let l = v - -112. Calculate the lowest common multiple of l and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29 + (-390)\/12)*(-5 - (2 - 5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -63*n + 55800. What is the greatest common factor of 50 and n?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092818 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sm when two letters picked without replacement from {g: 2, m: 2, p: 2, j: 2, i: 4, s: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1417371833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3 - 3953*u**2 + 789772*u - 785820 = 0.\nAnswer: 1, 210, 3742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 51043876898.632.\nAnswer: -51043876898.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2371, -9437, -21213, -37699, -58895?\n\"Answer: -2355*p**2 - p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, 2\/3, -3, -3\/14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8514.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zud when three letters picked without replacement from zdzuuuvuuuuz.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 9524, -3\/2, 0.1, -2\/7.\nAnswer: -3\/2, -2\/7, 0.1, 3\/2, 9524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -361, 3 in descending order.\nAnswer: 3, -2, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91011143625270625.99999933 + 91011136269036833. Let n = w + 7356233870. Let l = -77 + n. Round l to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = 0, -5*o = -0*k + 2*k - 52. What is the units digit of (345\/o)\/((-2)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 8. Let j be v(12). Suppose t = j*n + 21, 5*n - 2*t + 35 = t. Let z = n + 6. Solve p - 5 + z = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -344*j - 339*j + 42 + 687*j to the form x*j + l and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, 3 in increasing order.\nAnswer: -9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367*a*i**2*w**2 - 6*a*i*w - 2*i**2*w**2 - 79*i**2*w wrt w.\nAnswer: -734*a*i**2 - 4*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + (-3)\/1)*79. Let k = 575 + p. Let l = -47 - -69. Calculate the highest common factor of l and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1319 - 1321. Let f be 6 + 207\/(-36) - 1\/j. Solve -2*s + f*s**2 - 3\/4 = 0 for s.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 - -197. Suppose 14*f + b*f = 140. What is the greatest common factor of f and 2030?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/60 - q**3\/6 + 4*q**2. Let a be 2 - 3*6\/(-9). Suppose b - a = 5*b. Calculate z(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844013 is divided by 421997.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 111, 0, 5 in descending order.\nAnswer: 111, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -604*-0.65\nAnswer: 392.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/56 and 103\/152.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - x - 313, 0 = 2*l + 9*x - 6*x + 133. Let t be 1\/((-1)\/(-2 + 64)). Is l > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 + 11*x + 6. Let m(u) = 3*u**3 + 19*u + 10. Let t(k) = 5*j(k) - 3*m(k). Suppose 23 = 2*c - 7. Suppose n - c = -4*n. Determine t(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l**2 + 2. Let k(y) = 2*y + 2. Let z be k(-6). Let s(i) = -i**2. Let b(u) = z*s(u) + 2*p(u). Factor b(d).\nAnswer: -4*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -5. Let r(a) = -a - i*a + a - a. Let y(h) = -2*h**2. Calculate r(y(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 - 7*w + 6. Let x be q(3). Let f be (-2 + 1)\/(0 - -1). Let y(r) = -r**2 - 8*r. Let v be y(-8). What is the closest to f in v, x, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 3*n**2 + 3*n - 5. Let m be k(2). Let r(v) = v**3 + 2*v**2 - 2. Let i(q) = q**3 + q**2 - 1. Give m*r(g) - 10*i(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/12095674 and 19\/18143511.\nAnswer: 36287022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6023413580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - (-2 + (12 - -6))) + 3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, -5, 83, -4, -1, 4 in descending order.\nAnswer: 83, 4, -1, -4, -5, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjiigiggiiijiigi. What is prob of picking 1 j and 2 i?\nAnswer: 27\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 34*d**2 - 63*d + 31. Determine p(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 105 = -135. Suppose -22 = -v - 3*g + 49, 9 = -3*g. What is the greatest common divisor of r and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1499, -3000, -4501, -6002?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/14 - (-12)\/(-42). Suppose -19 = -3*l + d, -2*l - 6 = -d + 5*d. Suppose 4*z - 3*z = -4. Sort l, h, z.\nAnswer: z, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 2*z**2 + 2*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppsppsspypsbppbpb. Give prob of sequence sspy.\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 27*k - 159. Let r be c(6). Let b be -13*(-2)\/(4\/(-2))*1. Calculate the lowest common multiple of (1 - -13)*b\/(-39)*r and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 2024075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - y. Suppose -4*x + 3*w + 8 = 1, -4*x - 2*w = -2. Let j(g) = 6*g**2 + 6*g. Give x*j(v) + 4*q(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8972 + 9014.37. Let n = g + -1.97. What is n rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448*d - 446*d - 44 = 0. What is the remainder when 98 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -84, -126, -172, -222, -276, -334, -396?\n\"Answer: -2*w**2 - 36*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.6038 rounded to one dp?\nAnswer: -15.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365371.\nAnswer: 7, 195053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 499*r + 3768 + 130 + 4086 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**3 - 45*l**2 + 10*l + 70. Determine p(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3002 (base 5) to base 9\nAnswer: -458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 9 + 2050*d**2 - 4 + d**3 - 2047*d**2 to the form s*d**2 + z*d + j*d**3 + v and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(n - 4*n + 2*n)*((0 + 0 + 1)*(-6*n + 4*n + n) - 15*n - 39 + 39) in the form s*n + y*n**2 + p and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177853446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g**2 + 15*g + 31. Calculate p(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 + 3. Suppose -19 = -3*r - 4. List the prime factors of b(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289425503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2408*l - 2158*l + 302*l to b + f*l and give f.\nAnswer: -4264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2521 at most as big as -2502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f + 2. Suppose -33*n + n = -160. What is i(n)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 16*m + 4*m + g - 67 = 0, -4*g = 3*m + 33 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.2 (b) -227 (c) 466.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-15) - 301\/(-105)) + -1. Suppose 10 = -l*z + 130. Suppose q - z = -q. Is q <= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -22.11. Let t = -0.19 - z. Let o = 0.3 + 0.1. Which is the second biggest value? (a) -1\/4 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-9)\/(-6))\/(-4*(-30)\/(-384)). Solve -87 = g*d - 79 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 920.08 - 920. Sort z, 4, -0.21 in ascending order.\nAnswer: -0.21, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 34190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*v + 112, -v - 5*i + 45 + 15 = 0. Suppose -j = 3*j - v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000451 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1424 - 1?\nAnswer: -1425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 40*v + 26*v = 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 34. Let f be (6822\/45)\/(l\/(-5)). Is (0 + -1)*(7 + f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -14*g + 210. Let m be x(15). Solve 13*r - 7*r + 30 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 220523?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 12*o**4 + 18600*o**3 + 6157431*o**2 - 6171387*o + 1544010 = 0.\nAnswer: -1070, -481, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11c9 (base 13) to base 2.\nAnswer: 100111100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/3 + 376970*r**3\/3 - 2*r**2 - 1130914*r\/3 - 753940\/3 = 0.\nAnswer: -188485, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65322817 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: Suppose 1089 = -5*n + 2469. Put -1, 0, n in descending order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41364000 and 275760?\nAnswer: 41364000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cffrh. Give prob of sequence cffr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 22)\/(5\/((-15)\/(-6))). Suppose -i*n + 28 = -2. Solve 0 = 2*k - n + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(sqrt(35)\/((sqrt(84)\/sqrt(3))\/sqrt(4)) - sqrt(55)\/((sqrt(11) + sqrt(176))*3)).\nAnswer: -28*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 4*s + 5. Let r be q(4). Suppose 0*f - 47 = -r*f - n, 0 = f + n - 11. Calculate the greatest common factor of 72 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 22*a - 20 = 0, -5*k - 4*a = -1640. Solve 334*d - k*d = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47c823 (base 15) in base 12?\nAnswer: 1197480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**5\/3 - 83*j**4\/3 + 1342*j**3\/3 + 12742*j**2\/3 + 21121*j\/3 + 9805\/3 = 0?\nAnswer: -5, -1, 37, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0, 4699\/43 in increasing order.\nAnswer: 0, 0.01, 4699\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004836473 rounded to six decimal places?\nAnswer: 0.000484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1.26.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3120 = -483. Let i = -532 - l. List the prime factors of i.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5647620 divided by -282381\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 12) to base 10.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6\/(n**7\/n*n)*(n**0)**(-19\/3) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by -321\nAnswer: -14\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjrc when four letters picked without replacement from cjcjobrd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 472*p*r**2 + r**2 + 24*r wrt p.\nAnswer: 472*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30128 - 212606\/7. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.835 - 0.835. What is the second biggest value in s, -1\/11, -7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/888386 and -59\/318.\nAnswer: 2665158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Let y(g) = -12*g - 2. Let s be y(-2). Let u = 155.4 - 154.4. What is the nearest to s in k, 0.2, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3078\/35 or -87?\nAnswer: -3078\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 + 2*j**2 + 4*j + 3. Let q be x(3). Is 20186\/30 - 10\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(-35)\/7980*(-8)\/(-14).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770491601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 65 = -o, -4*r - 66 = 2*o - 0*o. Sort r, -2, -5 in ascending order.\nAnswer: r, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -0.1, -103 in descending order.\nAnswer: -0.1, -25, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8, 2\/7, -2, -50\/3, 2\/181, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by (-12)\/22 - (-10)\/(330\/381)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -843343, -4.\nAnswer: -843343, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 2 - 14) + 8 + -11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/12 - 5\/4. Let o(n) = -n**3 - n**2 - n + 2. Let h be o(j). What is the first derivative of 8*q - 4 + q**4 - h*q wrt q?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 6, 6, 10, 24?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 9*v**2 - 11*v. Suppose -t + 3*r = -4*t + 18, -4*t + 19 = -r. What is the lowest common multiple of t and p(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.3? (a) 43 (b) 4\/1189 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1\/7, 196\/43 in decreasing order.\nAnswer: 196\/43, 1\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r. Let v(i) = 39*i - 5. Calculate v(l(b)).\nAnswer: 117*b - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11083, -22288, -33627, -45100, -56707, -68448, -80323?\n\"Answer: -67*a**2 - 11004*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 417863 or 418652?\nAnswer: 417863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 + 2680*z - 7. Let h(i) = -i**2 + 1336*i - 4. Determine -6*a(q) + 11*h(q).\nAnswer: q**2 - 1384*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6927128*k**2*n - 2*k**2 + 82*k*n - 267*n - 68 wrt k?\nAnswer: 13854256*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (1 - -6) - (-3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g**(-3\/5)*g*g*g)*g)**30)**45 assuming g is positive.\nAnswer: g**(-3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 18*c - 3. Let o be h(2). What is the common denominator of -19\/3 and (o\/30 + 0)*2?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1814 - 1842) + 5 + -15 + 4\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 294362, 294366, 294370?\n\"Answer: 4*a + 294358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.47827.\nAnswer: 1.91308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-27 + (3 - -39)) - 17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -25*c**3 - 5*c**2 + 293*c - 287. Calculate f(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -110110100111111011101 (base 2) to base 7\nAnswer: -21133263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + v - 5*v. Let f be v + (-3)\/2*96\/(-216). What is the closest to f in -1, 0.06, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17641, 17820, 18119, 18538, 19077, 19736, 20515?\n\"Answer: 60*n**2 - n + 17582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + (-63 - (-166 - -59)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4310 - 4193. Is 697\/6 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 75. Let h(u) = -2*u**3 - 18*u**2 - 3*u - 20. Let k be h(d). Solve -k*t - 11 = 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -99, -7324, 4 in increasing order.\nAnswer: -7324, -99, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 137446849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 6 = 1. Let p be 5 + 2 + -4 - d. Let c = -28 - -44. Calculate the highest common factor of p and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*x - 44. What is the lowest common multiple of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 394\/4 - (-2)\/4. Let o = -499\/5 + d. Let c = -2.9 - -3. What is the third smallest value in o, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/5*13\/1248 and -107\/952.\nAnswer: 19040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 - -149. Let c be (-3)\/y + (-8553979)\/(-7). What is c rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**19\/x)\/(((x\/((x*x**(2\/9)*x)\/x*x))\/x)\/x))\/((x\/x**(-2\/5))\/(x\/x**6)) assuming x is positive.\nAnswer: x**(667\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -37, -89, -163, -259, -377, -517?\n\"Answer: -11*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 28 - 21 + 65 + 14*i + 104 - 31. Calculate y(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 107*b. Let v(d) = d + 2. Let r be 3*3\/(2 + -11). Let i(n) = 4*n**2 + 5*n + 10. Let j(o) = r*i(o) + 5*v(o). Give p(j(c)).\nAnswer: -428*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 458*t - 9162. What is h(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2232*z + 573555. What is p(-257)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*x + 8, -3*s - 8 = -2*x - 4*s. Put x, 3\/4, 3, 1\/4 in decreasing order.\nAnswer: 3, x, 3\/4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/6, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.98 at most 2\/24674671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 20 = -j, -3*j + 5*j - 40 = -3*x. What is the greatest common divisor of j and 6020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 + -1.7. Sort -1\/4, 1\/3, p.\nAnswer: p, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -431 or 46?\nAnswer: -431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 40. Let u(d) = -3*d + 3. Let j be u(12). Let g = -9 - j. Calculate the greatest common divisor of g and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.03 + -16.8. Let s = m - 1.16. Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10515723, 10515750, 10515777, 10515804, 10515831, 10515858?\nAnswer: 10515885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12221, 12220, 12219, 12218, 12217?\n\"Answer: -b + 12222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 8*s**2 + 18*s + 136. Let l be x(-5). Is l at least -277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-516)\/(-360) + 50 + (-12857)\/258 + (-103)\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, 0.5, -97, 4 in decreasing order.\nAnswer: 4, 0.5, 0.1, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -76, -104, -134, -166?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 8:35 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-27))\/((-3)\/(-18))*1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (3 + 22 - 29).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rowz when four letters picked without replacement from rzwzzwzzrozz?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147621*k**3 + 73683*k**3 + 73946*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 35003.19mg?\nAnswer: 35.00319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + (-3)\/(-108). Let k = -58.2 + 54. Let o = 0.8 - k. Sort -5, g, o.\nAnswer: -5, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 227667 and 869274?\nAnswer: 9562014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -158756.36 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -99?\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20\/11 (b) -0.1 (c) -0.3 (d) 5 (e) 6\/5 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/60 + b**4\/24 - 23*b**3\/6 - 18*b**2. Let x be j(-5). Let v = 2 + -6. Put v, x, 0 in decreasing order.\nAnswer: 0, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 + 0*k**2)*(k + 0*k - 3*k - 361).\nAnswer: 2*k**3 + 361*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 4*j - 2*x - 1, -x = -j + 7. Let d = -614.5 - -615. Let f = -34.1 - -34. Which is the closest to 0? (a) j (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-468)\/(-42))\/(-3) + (-4)\/14. Which is the second biggest value? (a) -3\/4 (b) x (c) 2\/13 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**3 + 2*f**2 - 4*f - 2. Suppose -4*l - 13 = -g - 2*g, g = 2*l + 7. Let t be b(g). Solve p + 4 + 0 = 0, 2*c - 18 = t*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14522 - -2?\nAnswer: 14524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0 + 31)*(-3)\/(-9). Solve 35 = -5*x + h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 84. What is the nearest to b in -1, -0.7, -5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbnrnnbnrbnrbrpnb. What is prob of sequence rp?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/3)\/((-8)\/84) - -4. Let j be (0 - 2\/(-14))\/(6\/l). Factor 3\/7*d - j*d**3 - 3\/7*d**4 + 3\/7*d**2 + 0.\nAnswer: -3*d*(d - 1)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 727, 1437, 2139, 2827, 3495?\nAnswer: 4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j - 5*r - 2169 = 0, -2724 = 5*j + 2*r. Let p = 324 - 708. Let z = p - j. What is the greatest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955959919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*(-1)\/5\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(21))\/(sqrt(7) - -3*sqrt(252)).\nAnswer: -18*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5\/11 + 390*a**4\/11 - 19584*a**3\/11 + 55288*a**2\/11 + 1536*a\/11 - 73728\/11 = 0.\nAnswer: -1, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(0 - -1) - 1. Suppose 3*v = -6, 3*r + 2*v - 40 = 7*v. Let u = z + r. Solve s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 11\/2*g**2 + 0 + 1\/2*g**3 - 6*g. List the prime factors of y(9).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1423982, -2842222, -4260450, -5678660, -7096846, -8515002, -9933122?\n\"Answer: v**3 - 1418247*v - 5736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-20)\/(f*f**(-1\/6)) assuming f is positive.\nAnswer: f**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 2?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - 9) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 12570 = 5*x, 0 = -2*x. Suppose -3*z + d = -z. Suppose -2*u = u - z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*-2 - (2 + -4). Let r = 19 - b. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - 12. Suppose -q*f - 9 = -11*f. Suppose 4*k + 717 = p, 4 - 16 = f*k. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5 + 4*y**2 + 0 - 4 - 7*y + 14*y**3. Let i(h) = 5*h**3 - 2*h + 5*h**3 + h**2 - 5*h**3. Let w(u) = 11*i(u) - 4*r(u). What is w(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtxntxototn. What is prob of picking 2 o, 1 n, and 1 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -2*a**5\/15 - 10*a**2 + 2. Let j(s) = 7*s. Determine j(p(y)).\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/225)\/(7\/42). Are -3 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + m**3 - 1 - 9*m**3 - 37*m + 37*m + 0*m**3 - 2*m**3 + m**3 + 3*m**3 - 3*m**3 - 2*m**3 + (2*m - 2*m - m)*(-m**2 + 3*m**2 + 0*m**2).\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1175796 and 35\/3135456?\nAnswer: 9406368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.46. Let r = -3.4802 - -0.2782. Let q = 0.798 - r. What is the fourth smallest value in q, d, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/4934741 and -73\/3524815.\nAnswer: 24673705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 + 3 = 0. Suppose q*z - 9 = 3. Calculate the least common multiple of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37525 - -2576. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -1 + 6. Let l be ((-8)\/10)\/(1\/s). Solve y = -y + l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.07, 3, 0.5554 in increasing order.\nAnswer: -0.5, 0.07, 0.5554, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7425 by 33.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001 (base 2) in base 4?\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 81687 = 82479 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, -32, -65, -100?\n\"Answer: -m**2 - 28*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1 - (-5 - -2). Suppose 12 = -d*u + 34. What is the greatest common divisor of u and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198310 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 1309 = -0*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(112) - (-1*sqrt(112)*4 - sqrt(112) - sqrt(112)))**2.\nAnswer: -32928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 355 and 6?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(66)\/(sqrt(6) - (sqrt(6) + sqrt(54)\/(4*sqrt(9)))) + -4))**2.\nAnswer: 800*sqrt(11) + 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 + 197*n + 122. Determine x(40).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 21.1, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 a, and 1 e when four letters picked without replacement from dqaeddudddeqeqddqdu.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**(-4))**(1\/29) assuming a is positive.\nAnswer: a**(8\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5\/2 + 33*p**4\/2 - 81*p**3\/2 + 75*p**2\/2 - 12*p.\nAnswer: -3*p*(p - 8)*(p - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3160 - -53762\/17. Let f be (-1 - 72)*1 + (-44)\/(-11). Let r = -111 - f. Calculate the common denominator of r and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 3 - 16\/(-6). Suppose -k - 3*k = 0. Which is the biggest value? (a) k (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4340.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275 + 279. Suppose -2*y = 2*d - 218, -3*d + n*y - 1 + 335 = 0. Calculate the lowest common multiple of 77 and d.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*h + 83*h + 5*g = -84*h - 44, 4*h + 2*g + 52 = g for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172 at most 4192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 4*o**2 + 3. Give q(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2703, -3335, -4037, -4815, -5675, -6623, -7665?\nAnswer: -8807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, -341, 2, -13, -4, -1 in increasing order.\nAnswer: -404, -341, -13, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 131.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = -k - 14, -5*s + 75 = 5*k. Let b = s - -9. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31097 - 1071?\nAnswer: -32168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 347 and 228326.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-16)*((-22)\/7920*-54)\/((-7)\/8).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1264 and 4819.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4423*r - 29182 - 46165 = -323035 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1123605 smaller than -86517492\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -0.06\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 194554 + -387596. Round c to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 829*x - 2 - 869*x + 1 + 2*x - 5*x + 2*x + (-4*x + 2*x + 4*x)*(3 - 1 + 0) - 4 + 4 + x.\nAnswer: -36*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -715828 > -715826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 29*z - 25. Find the second derivative of -6*v - 11*v**z - 70*v - 4*v**2 + 6*v**2 + 7*v**2 - 14*v wrt v.\nAnswer: -220*v**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.77287717 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 6, 4, -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 765512.4.\nAnswer: 382756.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/9 - 308*a**2 - 3704*a\/3 - 11120\/9 = 0. What is a?\nAnswer: -2, 1390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**2 - n + 2. Let g be d(-3). Let q(f) = 2*f + 29. Let c be q(-11). What is the highest common divisor of g and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 13 - p**2 - 13. Let m(w) = -10*w**2 + 4*w. Let o be 496\/868*(-56)\/6 - 4\/(-3). Calculate o*t(g) + m(g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {y: 5, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -846360, -846379, -846398, -846417?\n\"Answer: -19*k - 846341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -8. Let u(j) = -j**2 - 8*j + 2. Let k be u(f). Suppose 65 - k = 4*d. Calculate the lowest common multiple of d and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -71 (c) 8\/7 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2323 and 7084?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 21 = -v. Is 32 a factor of (48\/v)\/(24\/(-1440))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-12 + 6 + 6 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 7*h**2 - h - 6. Is x(-8) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 380 divided by 76\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2880\/6240)\/((-2)\/(-26)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, 4.7.\nAnswer: 0.3, 0.5, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*c**3*z + 2*c**3 - 117*c**2*z - 4*c**2 - 70*c*z - 6*c - 325 wrt c?\nAnswer: 216*c*z + 12*c - 234*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 514019, 1028033, 1542047, 2056061, 2570075?\nAnswer: 3084089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2086 = -76*s - 99*s + 26*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.15 to the nearest integer.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 13) to base 6\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 3*b - 38. Let w be g(-8). Suppose 0 = w*d - 3*d + 3*m + 136, 0 = 2*m. What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1867020?\nAnswer: 2, 3, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 502.57172 and 0.0510971.\nAnswer: 502.6228171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 1. Let g(a) = -2*a + 2. Let d(o) = -3*g(o) + 7*u(o). Let f be d(3). Is 8 a factor of f*(-3)\/((-3)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 8, 9, 2.42, -0.5 in ascending order.\nAnswer: -2, -0.5, 2.42, 5, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -566 + 5?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/4)\/5*2. Suppose 4*c - 3*z - 20 = 0, -23*c + 20*c + 2 = z. Solve -5 = c*t - a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*y - 362*y + 2988 - 858 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2600559 divided by 288951.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -231?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -333 (b) 153 (c) -33\/19 (d) 0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*l - 21*l + c + 19, 3*l + 3*c = -27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 54 - 4 - j - 57 + j**2. Suppose -5 = -4*q + 3*q. Calculate y(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 949900 and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37057011 + 459.\nAnswer: -37056552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -5.2899.\nAnswer: -1.2899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.6, -2\/7, -0.3, -16, -13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 107*c - 111*c + 19534, 2*q = -2*c + 7816. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.190644432 to two dps.\nAnswer: -2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 103*a**3 + a**2 - 24*a - 38. What is the units digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -9. Let c = b - 21. Let a be -1 + 3\/((-3)\/(-2)). Sort 3, c, a in decreasing order.\nAnswer: 3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in 0.0385, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by -322.\nAnswer: -75\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 29221.\nAnswer: 1\/29221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1217 - -1253. Calculate the smallest common multiple of w and 42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 2932592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70598.682ms to weeks.\nAnswer: 0.000116730625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3652927, 7305851, 10958775, 14611699?\nAnswer: 18264623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 4. Let h be 27\/o*(-1)\/6. What is the nearest to -2 in h, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23328 - 23243.664. Let n = 84 - p. Round n to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-9)*-1)\/(1\/5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*p = 26, p - 3 = -4. Suppose -3*q = -5*g - 19, g - 10 = x*g. Suppose -b = -28 + 20. What is the smallest common multiple of q and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -221 + 240 + r + 2*r in the form x*r + c and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-9) + 4\/6. Suppose -15*w + 2 - l = 0. Suppose z + 0 - 4 = 0. Solve w + 8 = -z*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -h - 3*h + 448, 2*h = -2*g + 212. Let r(c) = c**2 + h*c - 55*c - 6*c**2 - 55*c. Let y(l) = -3*l**2 - 6. What is r(y(k))?\nAnswer: -45*k**4 - 180*k**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 8*c**2 - 11*c + 21. Let l be t(-9). Let x = l - 38. What is the fourth smallest value in -5, x, -4, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)*t**(1\/6)\/t*(t*t**11)**(-31) assuming t is positive.\nAnswer: t**(-2267\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251 by -1.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36501791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1274*t - 2520*t + 1243*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.72, -3\/5, -21, -0.2 in increasing order.\nAnswer: -21, -3\/5, -0.2, 0.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5372 + -5376. Which is the nearest to 1\/4? (a) -2 (b) 10 (c) f (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -6*h**4 - 18923*h**3 - 34622*h**2 + 157592*h - 25216 = 0.\nAnswer: -3152, -4, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -352 + 322. Which is the smallest value? (a) -2 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2\/4 - 12608439*d\/2 + 52990911338907\/4 = 0.\nAnswer: 4202813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q + 8. Suppose 3 = 2*w + w. Is w != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 439, 1213, 2447, 4225, 6631, 9749?\n\"Answer: 14*d**3 + 104*d**2 - 12*d - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - y + 3)*((-1 - 2 + 5)*(1 + 1 - 1) - 3 + 1 + 1)*(-168*y + 149*y - 2 - 1) in the form n*y + s + j*y**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/23156 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18202766 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26332 - 26413. Which is the nearest to m? (a) -0.19 (b) -5 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 17. Let r(f) = 13*f + 2. What is the units digit of r(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065301061 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 0*g**5 + 2\/3*g**3 - 260 + 157*g + 0*g**6 + 0*g**4 + 0*g**2 - 288\/7*g**7. What is the third derivative of w(z) wrt z?\nAnswer: -34560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 3:11 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-17) + -40 + 132224\/3264.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65.9 + 228.9. Let p = -170 + z. Which is the biggest value? (a) -3 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -552748, -1106665, -1660582, -2214499, -2768416?\n\"Answer: -553917*c + 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/13 - 30*z**2\/13 + 2*z\/13 + 30\/13.\nAnswer: -2*(z - 1)*(z + 1)*(z + 15)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/120 + n**5\/10 - n**4\/6 - 5*n**3\/6 + 31*n**2. Let m be o(-7). Is 5 + (-524)\/m - (-2)\/(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 2. Let g be z(-3). Suppose 3*q + 32 = g*q. Solve -q*c = -c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15547 a multiple of 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*h - 3*h. Suppose -10 = h*l, 3*l = -2*d + 4 + 38. Calculate the remainder when 41 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 + 0.15. Suppose 0 = 3*i - 3, -2*a - 3*i = -0 - 1. What is the closest to 1 in a, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0969 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1598 (b) -0.2 (c) 8\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-35) + 2\/(-5). Suppose 7*w - 83 - 148 = n. Let i = w - 8. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - 0\/6) + 155. Let q = a - 158. Suppose -2*n - 24 = -5*v, -n - 2*v - 2 = 4*n. Sort q, 5, n.\nAnswer: n, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = 0, -4*v - h = -52. Solve 4*g - s + 0*s + v = 0, -s + 1 = 2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h + 4*h)*(-2*h**2 + 2*h**2 + 2*h**2) + 4*h**3 - 19 - 5883*h + 2 - 2*h**2 + 5877*h.\nAnswer: 10*h**3 - 2*h**2 - 6*h - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2828190 is divided by 622?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -8. Suppose g*q + 1021 = 4*n - 5*q, 0 = -3*n - 2*q + 737. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -603085*d**2*l**2 + 408272608*d**2 - 315*d*l**4 wrt l.\nAnswer: -1206170*d**2*l - 1260*d*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.50907ml in litres?\nAnswer: 0.04950907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11102 and 2166293.\nAnswer: 394265326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 5*j. Suppose -z + 1 = -5. Let c(n) = -n**2 + 8*n - 7. Let d be c(z). Suppose -9 = -d*f + 16. Calculate h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -41 (c) 387910\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.61 + 2.61. Let x = 392 - 5882\/15. Which is the closest to v? (a) 3 (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1086501104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/3, -1\/7, -0.1, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 270 * -223\nAnswer: -60210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*3*5*-2.\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 - -18. Let k = v - -13. Suppose -k*p - 2 = -12. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116877 is divided by 122.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23860031*v**2 + 29613656 wrt v.\nAnswer: 47720062*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289 + 160 = w + 2*a, 3*w - 1342 = -5*a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.5 and -0.02?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) + 2*sqrt(1008)))*3)**2 - sqrt(63)\/(-4*sqrt(81)).\nAnswer: sqrt(7)\/12 + 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w + 110*w - 44*w + 113 = 0. Sort -5, 3, -100, -3, w in ascending order.\nAnswer: -100, -5, -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(0 + h + 0) - 69 - 297*h + 39 + 26 in the form t + y*h and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -246\/271, 0.2, 0.3, -2\/7, -0.08, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -4*m - 17*c + 204720006, -4*m = 4*c - 204720024. Round m to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 525 = -5*k, 321 = 3*k + 3*b + 2*b. Differentiate 88 + 6*d**2 + 204*d - 99*d - k*d wrt d.\nAnswer: 12*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + 108 = 0. Let f = -25 + k. Suppose -4*m + 3 = -2*m - w, -f = -4*m + 3*w. Let v(o) = o. Determine v(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3384, 3080, -3\/7, -1, 5, 1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2 - 3*k + 6*k + 0. Let v be j(3). Calculate the greatest common divisor of v and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 435 and 435 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*d + 19 + 11, 2*d + 30 = 5*q. Let r be ((-13042)\/q)\/((-66)\/90). Let m = -2959 + r. Find the common denominator of m and -89\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 626 + -5?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/94 and 29\/14.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 116512428, 116512432, 116512436?\n\"Answer: 4*n + 116512424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162424 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -243942549?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(-30))\/((-657)\/27))\/(2\/8)?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**3 - t**2)*(-23 - 30*t - 30 + 51) + 2 + t**4 - 2 + (12*t**4 + 52*t**2 - 52*t**2)*(5 - 2 - 4).\nAnswer: 19*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1547838*y. Let j(c) = -c. Calculate j(l(m)).\nAnswer: 1547838*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -28*j + 6. Let h be t(1). Let i = h + 39. Suppose 18*u - 2807 = i*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5588)\/166243*7\/(-4)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aegxxeeae. Give prob of sequence ga.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*j + 8, -4*v + 8 = -4*j - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -901157\/480870 + 1191\/685. Let d = 1\/54 - t. Let l be 0 + 0 - 8\/(-14). Which is the third smallest value? (a) l (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2246, 17992, 60764, 144074, 281434, 486356, 772352?\n\"Answer: 2252*g**3 + g**2 - 21*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 11 - 4*l**2 + l + 6*l**2 + 14*l**2 + 6. List the prime factors of g(16).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1045444 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2923 - 980 + 2250 = 221*z + 436 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(1\/13318). Let r be ((-9)\/(-6))\/((-1)\/706). Let o = h + r. What is o rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43226866019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87577000 or 1?\nAnswer: 87577000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9302.\nAnswer: 2, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 3, x: 1, y: 1, t: 1}. What is prob of sequence ti?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12947585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n. Let k(p) = -19241265*p. Give k(j(x)).\nAnswer: 38482530*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*r - 0. Suppose -3*l = l + 8. Let x(n) = n**3 + 2*n**2 - 2*n - 1. Let v be x(l). Solve -g = -p + 9, -v*g - r*p - 2 = 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 105*j + 0*j**2 - 1 - 15\/2*j**3. Let n(k) = -4*k**2 + 0*k**2 + 5*k**2. What is n(r(d))?\nAnswer: 2025*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*55.412.\nAnswer: -221.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203 + 66 - -60) + (-14 - -10)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8797430.\nAnswer: 2, 5, 879743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-45) - 37\/(-9). Suppose 5*c = -2*z + 56 - 12, 0 = u*z - 3*c - 140. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138 - 48. What is the greatest common divisor of 20 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1872 - -1844) + 1125\/40.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2160 and 56480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2461363 - 2461363 - 2194*d. Let f(r) = 2*r**2. What is f(w(m))?\nAnswer: 9627272*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -2, -1, 0, 1?\n\"Answer: q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1901 + 37*s - 2110 + 4011.\nAnswer: 37*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10678155 * -0.5.\nAnswer: 0.053390775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4937.663 millilitres to litres.\nAnswer: 4.937663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(45)*3*6 + sqrt(45)))**2.\nAnswer: 146205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4092 + 24607\/6. Suppose -2216 - 54 = -2*x - 5*s, 5*x = 5*s + 5640. Calculate the common denominator of -1 + 0 - x\/(-160) and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9344971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2 - 5*x + 13. Let y(h) = 2*h**2 - 2*h + 6. Let k(s) = 6*t(s) - 13*y(s). Factor k(g).\nAnswer: 4*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2604 + -23434\/9. Which is smaller: n or 2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**4 - 85*k**3 - 1847*k**2 - 3443*k - 1680 = 0.\nAnswer: -48, -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 + 2298*h**2 + 840015*h + 71547300 = 0 for h.\nAnswer: -165, 2628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (72\/48)\/((-3)\/4*-1). What is the highest common factor of p and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*i - 91 = 0, 2*f + 4*i - 1 = 63. Suppose 0 = 3*h - 2*v - 28, 3 = -4*h - 5*v + 2. Calculate the lowest common multiple of f and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8097*c**2 - 8080*c**2 + 24274*c**2 + 7 - 7 - 8083*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2418*h**2 - 30*h + 145.\nAnswer: -4836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 4 - 7*u**2 + 3 + 7*u**2 + 123*u**3.\nAnswer: 123*u**3 + u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265 + -1.36.\nAnswer: 263.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 4 + 4*g - 4.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42366791 to the power of 1\/4, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1, 33, 2\/7, 0.4, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6033\/(-66))\/(30\/(-9004)). Let m = h - 27435. Let t = m - -3398\/1155. Find the common denominator of t and -8\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219872 is divided by 1929.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*95.\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 + 2*l**2 + 2*l + 1. Let k be o(-1). Let v = 7.9 + -7.884. Let u = v + -1.016. Sort 2\/5, u, k.\nAnswer: u, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4576\/8008*7\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2013 or -530?\nAnswer: -530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/24 and -85\/202720152?\nAnswer: 202720152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-103526)\/(-34) + (-22)\/(-187). Is 4 - (l\/(-10) - (-1)\/(-2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -25, -72, -169, -334?\n\"Answer: -3*z**3 + 2*z**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146816 + 146819. What is i in -5\/3*i**4 - 40\/3*i + 16\/3 + 25\/3*i**2 - 1\/3*i**5 + 5\/3*i**k = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1241, -1251, -1263, -1277, -1293, -1311?\nAnswer: -1331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71134885 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3940 - -3939.9. Which is the third smallest value? (a) -5 (b) 2 (c) 0.2 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - h + 2, 5*h = 10. Suppose o = -5*s - 170 - 30. Let x be (-1)\/4 + (-34)\/s. What is the closest to -0.05 in -1, x, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -5080142.\nAnswer: 1\/2540071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-82)\/533 + 82\/26)*2\/(-33).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9106 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -13. Suppose -4*j - j = -n - 18, -4*j + n + k = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*y**3\/3 - 46432*y**2\/9 + 424*y\/9 = 0.\nAnswer: 0, 2\/219, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1187 times -1\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -61. Let f be (-12 - (-4 + 4)) + 11. Put f, -18, 2, u in increasing order.\nAnswer: -18, u, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8750839 equal to -43754198\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 7*z + 2*z)*(2*z - 4*z + 4*z)*(-9 + 46 - 14).\nAnswer: -138*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjbjjjjgjj. Give prob of picking 1 b and 2 j.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2455*c = -2426*c - 754 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.3, -7\/3, -630 in decreasing order.\nAnswer: 0.3, 0, -7\/3, -630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*h + 9*o = 86*h + 106, 3*h + 2*h - 70 = -5*o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020927185 rounded to 7 dps?\nAnswer: -0.0002093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138392, -136272, -134154, -132038?\n\"Answer: -h**2 + 2123*h - 140514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 26 = -3*p, 4*p - 42 = 3*q - 0*q. Factor 16*u**3 - 12*u**3 + 4 + 4 - p*u.\nAnswer: 4*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/(261\/(-25056))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*b**3*v**3 - 731*b**3*v + 5*b**2*v**3 - 3*b*v**3 - 4*v**2 wrt v.\nAnswer: -762*b**3 + 30*b**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.051 times 20238\nAnswer: 1032.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4400000*d**2 - d - 1. Suppose -t = -0 + 1. Let p be u(t). Round p to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 13) + (-1 - (3 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -3. Let b = c - -5. Let y(t) = 8 - 22 + b*t - 2*t. Let l(h) = -h - 9. Give -8*l(g) + 5*y(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -37*p + 29*p. Suppose -21 = -4*j - 3*q, 0 = 5*q - 0 + 25. Does 6 divide j\/p*128\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10471816600 rounded to the nearest one million?\nAnswer: 10472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.2. Let m = 2.2 - 2.1. Sort 0.4, m, k in increasing order.\nAnswer: k, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9054350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose 5*k + 10 = 0, -d*w - 5*k = 2*w - 35. Suppose 0 = 5*x - w - 6. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-6)\/v**(13\/2))\/((v\/v**(-4\/9))\/v)**(-18) assuming v is positive.\nAnswer: v**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(612) - (sqrt(612) + 3)) + 0 - ((2 + sqrt(612))*4 - (sqrt(612) + 0 + sqrt(612) + 1 - sqrt(612))))*-5 + 5)**2.\nAnswer: 6300*sqrt(17) + 138925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5856908 is divided by 150177.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/4 - 4691*c**3\/2 + 74973*c**2\/4 + 44524*c + 23435 = 0. Calculate c.\nAnswer: -1, 10, 9374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14.3362436 and 0.3?\nAnswer: 14.6362436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, f: 3, l: 6}. Give prob of picking 1 l and 1 f.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.2423889 and 68.\nAnswer: 65.7576111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (76 - 152 - 110)*(d**2 - 1 + 1) + 4 - 4 + d**2 + (-1 - 2 + 1)*(2*d**2 - 2*d**2 - 2*d**2) to g*d**2 + w + v*d and give g.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -133 - -239. What is the highest common divisor of 46 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/(-10))\/((-4)\/(-10))*24823435\/1365.\nAnswer: 89, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/25 + 59\/75. Suppose 111*v - 103*v = 40. Which is the nearest to w? (a) 4 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {e: 1, d: 1, m: 2, c: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*j - 460 = 130 + 614 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b + 3, -b + 9 = -a. Let j = 13 + a. Suppose -u = k + j, 3*u = 5*k - 0*u + 18. Let r(q) = -q**3 - 5*q**2 - 5*q - 2. Determine r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(45\/(-27)))\/((-3)\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmf when three letters picked without replacement from feesemefm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5 - 517*b + 1039*b - 517*b. Let j(d) = 0 + 0 - 2 + 2*d. Determine 7*j(f) - 3*x(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d59 + -3?\nAnswer: -2d5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31998 is divided by 12430.\nAnswer: 7138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8896*y**2 + 2479 wrt y?\nAnswer: 17792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*6\/96*(-2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4237, 160, -2 in ascending order.\nAnswer: -3, -2, -1, 160, 4237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvoo when four letters picked without replacement from vvovvvvvvovvvvvvvvvv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -v - 4*z, -5*v - 20 = -4*z + 6. Let n(a) be the second derivative of a**4\/6 - 2*a**3\/3 - 3*a**2\/2 + a. Is n(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 2:50 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.096 in 310, -3, -0.4, 1, 2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 572, 573, 574?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41368 (base 12) to base 4.\nAnswer: 110303000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-154))\/((-15)\/105))\/((-1120)\/(-616))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 108.55127387608 and -0.047.\nAnswer: 108.50427387608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + 22*j**2 - 19*j + 43. Determine t(10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + 4*a + 1. Let c be x(-1). Let k be 6\/2 - (c + -4). Solve -k*s - 4 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56 - -391\/7. Let s = -51 - -46. What is the closest to c in s, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 107. Let k = 60 + b. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/17 (b) -0.2 (c) -2\/11 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1424, -11337, -38244, -90641, -177024, -305889, -485732, -725049?\nAnswer: -1032336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 1:07 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/9)\/p)\/p**7)\/(p**(1\/8)\/(p\/(p*(p**(2\/7)*p)\/p)))*((p*p\/(p\/(p**2\/p))*p*p)\/p)**(23\/4)*(p*p**(-1\/3)*p*p*p)\/(p*p\/(p**(3\/4)\/p)) assuming p is positive.\nAnswer: p**(5393\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1*(2 + 0) - (12 - 22) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1987, -6822, -14503, -25030, -38403?\nAnswer: -54622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 + 9146*q**2 - 22914*q - 54936 = 0.\nAnswer: -2289, -3\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-68)\/4 + 7)\/(15\/45).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/71 and (3*(-1 - (-59)\/2))\/6?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = i - 57, -2*i = -5*r + 165 - 207 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/6 + (-5)\/((-70)\/39291)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**3\/3 + 5*z. Let i(d) = -7*d**2 + 4*d. What is i(h(u))?\nAnswer: -28*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(42)\/(sqrt(42)\/sqrt(7)) + -4*sqrt(7)*1)**2.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -462739\/68 + 6805. Is w < 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3) + -14 + -10 + 19\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/45760 + -1636957\/45760. Let h = 179\/5 + v. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4293 and 3339.\nAnswer: 30051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**2 - 123*j**2 - 120*j**2 + 34*j**2.\nAnswer: -185*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297*-0.2.\nAnswer: -59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 212 + (-44 - (165 + -123))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64830 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Let r = -179 - -185. Factor 3*u + 3*u + 3 - r*u - c*u**2.\nAnswer: -3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11987.\nAnswer: 11987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + f**2 - f**2)*(-3*f + 0*f + 2*f)*(2 - 3 + 5).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + s**2 + 6*s - 5. Let p be n(2). Find the third derivative of 8*a**2 + 13*a**2 - 11*a**3 - 13*a**3 + 3*a**p wrt a.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b + 1. Let i(j) = -24*j - 5. Let z(o) = -9*g(o) - 2*i(o). Let k(n) = 36 - 135 + 35 + 29 + 38 - 13*n. Give 3*k(w) - 7*z(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 188301435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -420\/41 + 8833\/410. Let v = 14\/81 + -3947\/810. Find the common denominator of v and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.20743794 rounded to 1 decimal place?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 920 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*b - 79 = 13, -b = -3*a + 234. Suppose 27*y - a = 787. Solve 7*h = -h - y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1674 + 1675. Sort -4\/3, 3, 17, j.\nAnswer: -4\/3, j, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i - 63. Let x be j(-18). Let t be x\/(-18) - 1\/(-2). Solve -3*y - t = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5*(-21)\/1365)\/2)\/(3\/(-72))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6668 divided by -2434?\nAnswer: -3334\/1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -53.32, -0.5, 5, 9, 0.1 in descending order.\nAnswer: 9, 5, 0.1, 0.05, -0.5, -53.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42 or 2\/207?\nAnswer: 2\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2193+822711684\nAnswer: 822711684.2193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1815*a**3 - 1023*a**2 + 192*a - 12.\nAnswer: 3*(5*a - 1)*(11*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 12:19 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 131873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75\/(-10)*(-4)\/6. Let c be (-6)\/15 - (-27)\/w. Suppose -2*l + 4*k = -8, 4*l - k + 0*k + c = 0. Put l, 0, 1 in descending order.\nAnswer: 1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0*h + 4. Let q(x) = 5*x - 12*x**2 + 0 + 13*x**2 - h. Determine q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - 0) + (-22 + (21 - 34) - -20)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 0 = 5*j. What is the lowest common multiple of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12131311 (base 4) to base 8.\nAnswer: -63565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7107 - -7110. Solve -72*x = -67*x + 5*v + 35, -5*x - w*v - 29 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2282 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -17612 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (282*q**2 + 133*q**2 - 133*q**2)*(238 - 108 + 135) to the form p + n*q + m*q**2 and give m.\nAnswer: 74730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10043 (base 8) in base 9?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382 is divided by 355.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 149311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*(2576\/4788)\/(-23).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 - 1 = 0. Suppose 0 = -2*c - c. Put c, o, 3 in decreasing order.\nAnswer: 3, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -q - 7*q. Let l be (-1 - q)*(1 - (-8)\/(-10)). What is the third smallest value in l, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519546 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*b*q**2*t + 19*b*t**2 - 11408*q**2*t**2 wrt b?\nAnswer: 25*q**2*t + 19*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/97 + -163\/2134. What is the common denominator of i and 5\/(-4) - (-342)\/(-266)*(-26)\/12?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -b. Suppose -2*p = -7 + 1. Solve -b*o - 25 = -p*m, -3*m = -o - 7*m - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 8:55 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-1)\/((-504)\/(-216))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooononhnoon. Give prob of sequence hnn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35898*j**2 - 328*j + 381271810?\nAnswer: 71796*j - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 1, -43, 4 in decreasing order.\nAnswer: 93, 4, 1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1634 = -19904. Let m be (-6)\/(-15) + (-4246)\/i. Let p = m - -1\/87. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81.229833 + 81.22. Round z to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 61490 and 165?\nAnswer: 184470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-2)\/12). Suppose -35 = -4*h - 4*o + 33, 52 = w*h - 4*o. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s**2 + s - 5. Let c be i(0). Let z = c + 5. Suppose z*u + g = u - 5, 0 = u + g - 3. Solve -15 = u*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + a - 3*a)*(-102*a**3 - 90*a**3 + 12*a**3) to the form v*a**4 + t + w*a**2 + y*a**3 + q*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 16*p - 21*p. Suppose h + p*h = 10. Suppose -o - h = -60. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -749 * -2\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77.2 - 0.6. Let g = s + 71. Let p = 2.8 + g. Which is the closest to -0.1? (a) p (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/12*4\/7. Suppose b = 4*i - 3, -3*b = -2*i - 2*i + 9. Is i at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107\/522 + 1\/58. What is the third smallest value in z, -3\/17, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t*t**(-2))**17 assuming t is positive.\nAnswer: t**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eegeegefggegeeffg. What is prob of sequence fefg?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-7) + 2*8\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 6, -p + 1242 = -3*i - 246. Suppose -o + 10663 = p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15216 - 15215. Let o(z) = 7*z**2 - 7*z + 7. Determine o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826447263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 - 83. What are the prime factors of s*(544\/(-12))\/2?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8272288 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/23, 8\/5, 11.85, 1?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**2*n**3 + 2*f**2*n**2 + f**2*n - 3*f**2 + 99*f*n**5 + 222*n**2 wrt n.\nAnswer: -6*f**2 + 5940*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*w = -3, -2 = 4*h + 5*w + 3. Let z(c) = -c**2 - c + 2437. Is z(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 461510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20180*f**4 - 54817*f wrt f?\nAnswer: -242160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and -19798.\nAnswer: -19798.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 - 126*q**2 + 8*q**3 + q**3 - 6*q**3.\nAnswer: 4*q**3 - 126*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109125 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.116 - 56. Let j = 0.1574 + -0.0288. Let x = p - j. Round x to three dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o - 5*y = 1, -3*o + y + 13 = 0. Suppose 2*g - 56 = -2*g + 3*c, -o*g = 5*c - 56. Solve -5*l + 3*l + 2 = f, 2*l + g = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -8. Let o be (-6)\/b - (-28)\/20. What is the units digit of (2 - 1)\/(o\/10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2. Let l(y) = 222*y**2 - 20*y + 10. Let g(i) = -2*i + 1. Let p(r) = -10*g(r) + l(r). Calculate f(p(j)).\nAnswer: -49284*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -7, -6, 2\/15, 4, 3\/4, 0.61?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61848977 or 61848966?\nAnswer: 61848966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308 + ((-9)\/(-15))\/(1\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -14. Suppose 6 = -m*w + 22. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 1888647 + 1888647.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5 + 426*g**4 + 27077*g**3 + 69824*g**2 - 481788*g - 1033040 = 0. What is g?\nAnswer: -349, -74, -5, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 - 3*p**2 - p + 2. Let i be q(2). Let n be ((-16)\/(-24))\/(2\/i). Suppose 8*j = n*j + 28. Calculate the remainder when 26 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-8))**(-27) assuming t is positive.\nAnswer: t**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14373744 by -132.\nAnswer: -108892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 5. What is the second derivative of 2*s**5 - s - 4*s**2 - 4*s**5 + 4*s**p wrt s?\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. Let u(a) = -97*a - 31. Let n be u(x). Suppose -121 = -w - 2*z, -3*w - 3*z + n = -0*w. What are the prime factors of w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19 + 0\/(-1) + -3. Suppose 4*t - n = 0, 4*l - 5*t + 6 = -2. Suppose -l*a = -a - 10. Solve -r + 4*r = -12, 0 = -a*z + 2*r - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2076645 and 1110.\nAnswer: 153671730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 - 2 = 0. Let i be (-1*(-3)\/(-6))\/s. Suppose 0 = -5*z + 2*z. Which is the nearest to 0.1? (a) 4 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 3\/38 (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -713 + 682. Which is smaller: -6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d0e + 483?\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -187978190490 and 5.\nAnswer: -187978190485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 18. Suppose 0 = -j*v - 3*v. Suppose -4*g - 5*n + 160 = v, -5*n + 3*n + 80 = 2*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-112)\/(-56))\/(((-2)\/(-8))\/(-1)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13154 by -13154.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*f + f + 14, -f - 12 = -4*d. Suppose 3 = d*w - 1. Which is bigger: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58536169 to the nearest integer?\nAnswer: 7651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/4 - 5237*o**2\/4 + 6737191*o\/4 + 313869645\/4 = 0.\nAnswer: -45, 2641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jw when two letters picked without replacement from {j: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3201 and 25608.\nAnswer: 25608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -83. Let g be b\/6 - (-2)\/4. Solve -3*t - 6 = -5*i - 3, g = -2*t + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m + 1. Let x be w(6). Suppose -4*z - 21 + x = 0. Suppose 2*q - 150 = -3*f, -30 = 2*f + z*q - 138. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4 + 0 + l - 7. Let b be y(0). Let j = 228 + b. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/((-412)\/(-200) + -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 304682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50634 and 7830?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 1, -0.5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 10*i + 5*i + 400, 4*c - 296 = 2*i. Let k = -68 + c. What is the highest common factor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 754900 times 0.689\nAnswer: 520126.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 3*r + 4. Suppose 2*h - 12 = -h. Let g be k(h). Let d be -1 + (-1)\/(-3) + g. Sort d, -1, 4 in decreasing order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 5*p + 43. Calculate w(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20307 - 6243. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:31 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t**2 - t - 10*t**2 + 19*t**2. Let r be h(1). Calculate the least common multiple of 6 and (0 + 6 - 2) + r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -3. Let y be 20\/6 - 1\/3. Solve -2*n + i = -y*o, -n - o - 3 = o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47\/(((-4)\/528*-11)\/((9\/(-3))\/(-36)))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5435 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: What is -0.313287025 rounded to 4 decimal places?\nAnswer: -0.3133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244.1205 times -0.5?\nAnswer: -1122.06025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**5 + 7668*f**4 - 969184*f**3 - 91952*f**2 + 11752320*f - 15506176 = 0.\nAnswer: -2036, -4, 2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 4\/3 (b) 3 (c) -150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61235366 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -6*z**2\/5 + 23065596*z\/5 - 322917168\/5 = 0.\nAnswer: 14, 3844252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*q + 33, -2*q = 156*k - 157*k - 12. Factor -7*c**3 - 5*c**2 + 22*c**2 + 4*c**2 - 10*c + c**4 - q*c**3.\nAnswer: c*(c - 10)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*k - 657 + 657 - 121*k - 13*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4735*v**2 - 516117*v - 208. What is f(-109)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 1. Let t(x) = 2*x + 1. Suppose -6 = -31*d + 29*d. Determine d*t(c) - 2*k(c).\nAnswer: 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2. Calculate a(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**2 - 3 + 5 - 8*n**2 + 10*n**2 to u*n**2 + b + l*n and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 2*u - 6*u + u - 3 + 3 + (-3*u + 3*u - 2*u)*(-3 + 0 + 1) - 3*u - 3*u - u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(10 + -5 - 7)*2. Let g = -1 + -1. Let t = 18 + -14. Put t, g, b in decreasing order.\nAnswer: t, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.131?\nAnswer: 0.655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, b: 1}. Give prob of picking 1 o and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1926.9575421?\nAnswer: 1933.9575421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 + 13*h + 72. Let s be m(-4). Which is smaller: 4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/((-2)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -422*a - 362*a + 1401 - 7735 - 52466 for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y + 57. Let f be n(-13). Let w be (13\/(182\/f))\/((-2)\/4). Solve 0 = 2*p + w - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**14)**31\/(w**(8\/5)\/w*w\/(w**(-28)*w)) assuming w is positive.\nAnswer: w**(2027\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43304 (base 5) to base 12.\nAnswer: -1862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10300 + -12?\nAnswer: -10312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, -4 in descending order.\nAnswer: -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*6 + 1 + sqrt(17) + -5.\nAnswer: -4 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/(2 - 1). Let w(d) = 1 + 2 - 8 + f - 2*d. Determine w(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + r - 14, 3*t + 14 = 4*r - 5*r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r - 4. Let g(q) = -8*q - 5. Calculate -3*a(t) + 2*g(t).\nAnswer: 11*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 11:28 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -818637*d - 2455906. Calculate o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/2)\/((-2)\/(-12)). Suppose 2*z = -y*u + 17, u + 0*u - 4*z - 1 = 0. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - 3. Let v be ((-16)\/6 - -2)*3. Let l = 3.918 - -0.082. Sort s, l, v in increasing order.\nAnswer: v, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/11 + -1\/66. Let d = -0.227 + -122.773. Let u = -128 - d. What is the smallest value in q, 4\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 1. Let u(r) = r**2 - 2*r + 29. Calculate 4*t(i) - u(i).\nAnswer: -i**2 - 2*i - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 - 8*l. Calculate h(7).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14333421 (base 5) in base 13?\nAnswer: 54471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 5)\/(-6)*10. Let z(b) = -b**3 - b**2 - 2*b. Let p(k) = -3*k**3 + k**2 + 3*k + 2. Let h(n) = -p(n) + 2*z(n). Determine h(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 347 + -345. Which is the nearest to o? (a) -0.5 (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 12 = 5*s - 8, 14 = 3*a - s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1*(-1)\/(-28)). Let r be 3*(-3)\/(-27)*3. Sort i, -2, r, 3 in descending order.\nAnswer: i, 3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 246*t**2 + 759*t + 510.\nAnswer: -3*(t - 85)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + -3 + -8) - 31\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-18)*(-3 + 0). Suppose -o = -k - 2*k + 15, 2*k + f = -3*o. Suppose -3*u + 2*s + k = u, 3*u + s = 13. Calculate the remainder when 7 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1 in ascending order.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 35*z - 33. Let m be l(16). Solve -m = o + 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 7950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 take away 1352511479.5?\nAnswer: -1352511495.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 1. Let n be r(-6). Suppose -b = 4*i - n, -b = -2*i - 3*i + 23. Calculate the least common multiple of i and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 1. Let f(l) = -2*l + 1. Calculate 4*b(z) + f(z).\nAnswer: 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 + 1.14. Let d = -15881 - -15879.6. What is the nearest to -5 in d, m, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2)*o*(o*o*o**3*o)\/o*o*o)\/(o**(-1))**50 assuming o is positive.\nAnswer: o**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23028 and 1368?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 21*u - 15. Solve -u*m + 25 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511457.61 rounded to the nearest 100?\nAnswer: 511500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470587903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16230783 (base 10) to base 12.\nAnswer: 5528993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = o. Let n(w) be the second derivative of -w + 1\/30*w**6 + 0*w**4 + 0 + 0*w**5 + 0*w**o - 1\/6*w**3. Find the second derivative of n(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 103 (b) 36 (c) 0.2 (d) -3 (e) -0.0271\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:13 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-25) + 6*22\/(-15). Let y be (-19)\/(-4) + (-7)\/((-84)\/s). Suppose y*w - 5 = -1. Which is smaller: 6\/29 or w?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 11*t - 1. Let s be u(11). Let q(h) = -20*h**2 + h. What is q(s)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 - 31*z**2 + 59 + 70*z**2 - 2*z to w*z**2 + j + y*z and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/(2\/6). Suppose -u + p*u - 59 = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) 4 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/12 - s**3\/6 + s**2\/2 - s. Let n be 8 + (7 - (-200)\/(-30))\/(1\/3). Is w(n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4*1\/(-8)) - -447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*o + 5, 5*o - 5*s + 19 = 6*o. Suppose -2*n = -y + 15, -15 = 2*y - y + o*n. Let x(f) = -5 + 3 + y*f + 6 - 2*f**2. Determine x(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + 2 + -70 + -10 + -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 41. Put d, -4, 5 in descending order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 2*y**2 - y**2)*(-7*y + 2*y + 3*y) + 13643*y + 13630*y - 38295*y**3 - 27273*y.\nAnswer: -38291*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let s be 5 + -3 + 15\/5. Suppose 0 = -5*g + 20, r = 3*r - s*g + 30. What is i(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 16 - (22 + -2 - 11)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 7. Let i(s) = -14*s + 109. Let a be i(8). Let r(h) = -7*h - 19. Let q be r(a). Solve -g*d + 4*c = -q, 4*d + 0*d = -2*c + 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 1107*n**2 + n - 15*n**2.\nAnswer: 1092*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4360522mm in meters?\nAnswer: 0.0004360522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054851 to three decimal places.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 316*u. Let n(o) = -36*o**2. Give n(m(t)).\nAnswer: -3594816*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/19 (c) 3 (d) -5\/3 (e) 4664\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 96*q - 67. Does 18 divide v(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4136.201 micrometers to meters.\nAnswer: 0.004136201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.259923 rounded to 1 dp?\nAnswer: 32.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 4. Determine u(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -9*c**3 + 2664785*c**2\/2 - 1628463*c\/2 - 740215 = 0.\nAnswer: -1\/2, 10\/9, 148043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m**7\/m)\/(m**18*m\/(m\/(m\/m**15*m))))**17 assuming m is positive.\nAnswer: m**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 30. Suppose -b - g = -2. Let j = -27 - b. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s + 1. Let z(x) = 13*x**2 - 3*x. Let n(a) = p(a) + z(a). Is 13 a factor of n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47*4\/752*18\/(-171)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 397 + -359. Suppose -5*g + 188 - o = 0. Calculate the highest common divisor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -290*(702\/(-30) - 1). Let j = 10166 - o. Let q = j - 1828. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 65485?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 11*m - 2*m. Suppose -3*h - 4*h + 259 = m. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 3*w**2 + 4*w + 2. Let n be j(-2). Suppose 0 = 5*h + p - 137, 4*h + p - 71 - n = 0. List the prime factors of (-116)\/(-14) - 8\/h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**3 + 6*j**2 + 4*j + 3. Let g be o(-2). Let c be 112500\/((-10)\/(7000\/g)). Round c to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-5))\/(2\/(-10)). Let t(v) = -v**2 - 9*v - 5. Let r be t(o). What are the prime factors of (1\/r)\/(13\/1131)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 730625615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q + 3. Let n(t) = t**2 + 9*t - 5. Let s(d) = -3*n(d) - 5*x(d). Find the second derivative of s(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (64 - 50)) + (5 - (2 + -2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 297. What is the remainder when v is divided by 44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -353*k**2 + 9*k + 20. Let y(p) = 530*p**2 - 13*p - 28. Let q(i) = 7*x(i) + 5*y(i). What are the prime factors of q(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 296.9 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 1872 + 342. What is the units digit of l\/24 - 2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 12*a + 890. Let c(i) = 9*i + 4. Let t be c(4). Let h = a - t. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oggggogoogxooo.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u - 25. Let q be 3\/(6\/(-4)*8\/(-44)). Is 4 a factor of p(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1487*a - 462 = 1509*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**2 - 8*i + 4. Let o be r(5). Suppose 3*w + 2*g = -116, 2*w + o - 14 = g. What is w rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -745 and 4.\nAnswer: -2980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 16*o - 1.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 2*m - 2. Let s be a(-2). Let r = 135 - 111. Let i(c) = 2 + r - 5*c - 29. Calculate i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -10.54 (b) -2\/13 (c) -19\/4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/15675502?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99207\/340 - -422\/85. Let n = c + -296. Factor -3\/4*z**2 + 3\/2 + n*z.\nAnswer: -3*(z - 2)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -604 divided by 251\nAnswer: -604\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3 = 0, 5*n - 13*k = -2*n + 2*n - 8*k + 275 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zh when two letters picked without replacement from zezzlchppzpp?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 4, -3, -0.15.\nAnswer: -3, -3\/4, -0.15, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhj when three letters picked without replacement from ddhfdjhdfhhhjjd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4936 and 153364.\nAnswer: 189251176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 14816 = 0. Suppose 19435 = -28*h - 33345. Let k = h + o. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*v + 11, -q + 5*v = -6*q + 15. Suppose 3*j = j + 8. Suppose f + j*w = 2*w - 5892, f = q*w - 5920. Round f to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 199 and 11408869.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19818, -39675, -59532, -79389, -99246?\n\"Answer: -19857*p + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -954, -1856 in increasing order.\nAnswer: -1856, -954, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 8:38 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20\/41 - -37\/328. Let m = 3\/164 + -191\/1476. Which is the smallest value? (a) w (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -85*t**3 + 7*t**2 - 23*t - 4. What is the remainder when m(-4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/5 + 42*u**3\/5 - 88*u**2 - 42*u\/5 + 441\/5 = 0. What is u?\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12657205\/1986287476 - 5\/563326. Find the common denominator of p and 113\/20.\nAnswer: 35260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 1 = -4*w, 0 = 24*q - 107*q + 5*w - 435 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22586148 and 4056?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*y + 40*y - 11*y)*(1 + 4 + 3).\nAnswer: 96*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 8*u**2 + 5*u + 5. Let l be m(7). Is l bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -0*f - 3*f + 4*k, 324 = 5*f + 3*k. Suppose f = w - 13. What are the prime factors of 72\/(-18) + w + -1?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 46\/7, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1214*s**2 - 3*s + 301. Let p(n) = -2429*n**2 - 7*n + 600. Let m(g) = -5*i(g) + 2*p(g). What is the second derivative of m(r) wrt r?\nAnswer: 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -81540000 rounded to the nearest 1000000?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1672374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(20)*-5)\/sqrt(4).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/16 - 5\/16. Let q = -10 - -10. Suppose q = -0*o - 2*o. Which is the third smallest value? (a) o (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + ((-16)\/12)\/(1\/(-6))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21262?\nAnswer: 2, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121978, -120458, -117910, -114322, -109682, -103978, -97198, -89330?\nAnswer: -80362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1929.\nAnswer: -1\/1929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/4*h**4 - 3\/4 + 0*h + 3\/2*h**2 + 0*h**3 = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -192228, -192231, -192234?\n\"Answer: -3*x - 192225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -408 + 407.941. Which is smaller: -6 or i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 10860*k + 2624575.\nAnswer: 5*(k - 1895)*(k - 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m - 5*m - 2*m**3 + m**2 + 13*m + m**4 to d*m**3 + s*m + x + b*m**4 + g*m**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3404 - 12191 = -c, 2*k = -4*c + 35178. Let t = c + -4249. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19261, 37726, 56191?\nAnswer: 74656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0)**(1\/85)*(h\/(h*h**1\/h))**(-3\/7))\/((h**(-1))**45)**5 assuming h is positive.\nAnswer: h**(19126\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/28 + 4*p**3\/21 + 5*p**2\/14 + 2*p\/7 + 150. Factor j(s).\nAnswer: (s + 1)**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 10 = 2*i, -2*v - 28 = -4*i - 0*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:33 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 69\nAnswer: 8\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.2 and 0.8?\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w. Let a(z) be the third derivative of -z**5\/30 - 5*z**2 - 31. What is a(i(x))?\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*r + 1 = -r, 2*f = -5*r + 19. Let c = 0 + 0. Factor 2 - f*z**2 + 2*z**3 + 4*z - 6*z + c*z**3.\nAnswer: 2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 34 (c) -40\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*u - 5, 0 = 2*u - 6*u - 4*y + 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -241, -495, -759, -1039, -1341, -1671, -2035, -2439?\n\"Answer: -x**3 + x**2 - 250*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/150*4)\/((-138)\/(-15)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 39 + 0*q**4 + q**2 + 2*q - 622 to the form x + t*q**3 + p*q + j*q**2 + a*q**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13)\/(-39)*-15)\/(-5))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 181.581 times -0.5\nAnswer: -90.7905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/j*j\/(j**(-11)*j))\/((j**(2\/29)*j)\/j**(-8)) assuming j is positive.\nAnswer: j**(193\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 56 = 4*j. What is the least common multiple of 164\/j + 40\/70 and (-10)\/(-6) - 2\/(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 15 = -348. Suppose 0*w - d = -11*w. Let c(k) = -16*k**2 + 7. Let o(b) = -8*b**2 + 3. Calculate w*c(a) - 7*o(a).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 291\/(-5)*20\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 14*i**3 - 23581132*i**2 + 37056018*i + 20212380 = 0?\nAnswer: -3\/7, 2, 1684365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92980250.\nAnswer: 2, 5, 11, 33811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -4*r. Solve -r = -2*u + 3*l, -u = -0*l - l - 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - a - 1274 = 0, d - 529 = 5*a - 123. What is the units digit of -4 + 1 + d + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1260 = -w - 3*c, -4*c - 1258 = -2*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**10\/7560 + z**6\/360 + z**4\/12 + z. Let j(c) be the third derivative of s(c). Find the second derivative of j(t) wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1021, 216 in descending order.\nAnswer: 1021, 216, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19)*a\/((a*a*a\/a**(-27))\/a))\/(a**(-2\/49)\/a**1) assuming a is positive.\nAnswer: a**(-2252\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2735 is divided by 230.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i - 6 = 0. Sort 1, 4, i.\nAnswer: 1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2 + 26562136*o - 26562140 = 0.\nAnswer: -6640535, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1335 + 1335 - 1223822754426*d + 1223822754424*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**2\/2 - a. Let w(g) = 2*g**2 + 4. Let y(v) = 4*u(v) - w(v). Let s(o) = -3*o**2. Determine s(y(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 8 = -3*j, 2*a + 5*j = 7*j + 16. Suppose -f = 3, a*f = 4*z + 10 - 2. List the prime factors of ((-370)\/(-4))\/(z\/(-10)).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-64)\/(-36)*45\/(-10). Let v(i) be the first derivative of -i**3\/3 - 5*i**2 + 5*i - 1. What is the tens digit of v(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*m, 2*q = -3*m - 89116 + 252744. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q**2 + 11*q - 5. Let n(r) = r**2 + r - 2. Let a(b) = 6*n(b) - x(b). Determine a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(-2*sqrt(5)) - (sqrt(5) + 5 + -1 + sqrt(5)) - (sqrt(3645)*2)**2) + 5 + -4.\nAnswer: -14583 - 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/4 - 5*r**3\/3 - r**2\/2 - 3*r - 4. Let u be z(-5). Let t be (1\/(-3))\/(u\/4). Put 3\/4, -0.1, t in ascending order.\nAnswer: t, -0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8452 and 16904?\nAnswer: 16904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1715 - -1850. What is the highest common factor of 297 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - ((-12 - -1) + 5 + -8 - -4).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**2 + f + 2. Let l(c) = -6*c**2 + 2*c + 3. Let r(h) = 3*l(h) - 7*m(h). What are the prime factors of r(-4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdd when three letters picked without replacement from {d: 6, t: 2}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11350 and 45400.\nAnswer: 45400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 14) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*z - 0. Let n(y) = 6*y + 2. Let i be n(z). Let f(x) be the third derivative of x**5\/60 + x**4\/4 + 5*x**3\/6 + x**2. What is f(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23526 is divided by 3918.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1629866, -1630998, -1632132, -1633268, -1634406, -1635546, -1636688?\n\"Answer: -o**2 - 1129*o - 1628736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 12 = -52. Suppose -12 = n - h. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5743319159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*t - 60 = 0, 5*t - 3*t = -5*f + 260. Calculate the remainder when (855\/(-81) - -11)*396 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 - (-1 + -5)) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/2*(-8)\/16. Let q = -0.7 + 0.2. Let j = q - -0.4. What is the nearest to -0.1 in 5, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95112207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 7*a**2 + 6*a - 11. Let q(g) = -g**2 + 12*g - 22. Let i be q(11). Is r(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -382 - -267. Let g = -103 - i. Let y = -11 + g. Solve -v = 4*v + 4*a + 11, y = -2*v - 5*a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1.89 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 101.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 7. Let o = -32 + 183. Suppose -5*x + 59 = -o. Calculate the remainder when x is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32018, 63928, 95690, 127298, 158746, 190028?\nAnswer: 221138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16582, -66287, -149128, -265105, -414218, -596467?\n\"Answer: -16568*r**2 - r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -1\/3*h**3 - 2*h + 3*h**2 + 3. What is the units digit of m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14108273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 304*10\/(-500). Which is the closest to o? (a) 0.1 (b) -2 (c) -0.3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 10*x = -27, 3*x + 0*x - 15 + 10 = w + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -247420 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0832 - -0.02867754?\nAnswer: 0.11187754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688771 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3411, 9754, 20315, 35094, 54091?\n\"Answer: 2109*f**2 + 16*f + 1286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, p: 1}. What is prob of sequence gpg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -34*t + 93. Let z(v) = v + 2. Let j(p) = l(p) - 5*z(p). What is the derivative of j(a) wrt a?\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*50\/2000)\/(4\/(-152)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (3 - (-3 - -8)). Let h = 3560.93 - 3561. Put a, 1\/5, h, -5\/4 in decreasing order.\nAnswer: a, 1\/5, h, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m + 65. Calculate a(-28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9015 and 27?\nAnswer: 81135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-227 - 30 - 129)*(44*x + 7*x + 6*x) in the form y + m*x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-56)\/(-20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -333853 and 9.\nAnswer: -333844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 8. Let p be m(-8). List the prime factors of (-106)\/(-10) - p\/(-40).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 5*h - 20, v + v = 4*h - 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3453342, -6906698, -10360066, -13813446, -17266838?\n\"Answer: -6*r**2 - 3453338*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*265\/5618?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e9c8 (base 16) in base 12?\nAnswer: 60688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11744976 is divided by 487?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1089420000 to the nearest 1000000.\nAnswer: 1089000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101011111101 (base 2) to base 16\nAnswer: -afd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*r - 3*o + 1104, 4*r + o = 1110. Let w = 388 - r. Let q = -76 + w. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7695052.\nAnswer: 2, 1923763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 - (-5 + 11)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 6*h**2 + 5*h - 5. Suppose -4*x + x = -150. Let q(r) = 96 - 49 - 4*r - x. Let m be q(-2). Give v(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 3*m**2 - 5*m - 2. Let n be a(-4). Let t be (-9)\/n*(-4 + 496\/(-6)). Let s = t - 269. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407 - 408 - 4*i**3 - 410 + 1631 - 416.\nAnswer: -4*i**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20085977?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(400))\/sqrt(10))\/(sqrt(40)\/(sqrt(30)\/sqrt(6))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 93.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(30)\/sqrt(3))*-5)**2 + 2.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 2, t: 1, g: 1, a: 1, p: 1}. What is prob of sequence ao?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15313 + 100311 = -y. Let r be (-2 - -1)*2 + y. What is r rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7*(17\/(-15) - 230\/(-1725)). Let y(r) = -r**2 - 31*r - 176. Give y(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 2\/(-8) + 10392\/96.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -465 + 630. Calculate the smallest common multiple of m and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 450*g - 1830. Determine s(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**3 - 249*s**2 + 4655*s + 106. Calculate x(-141).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 divided by -8?\nAnswer: -351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 14\/5*y**5 + 0*y**4 + 0*y - 4 + 0*y**3 + 6*y**2. Find the second derivative of t(x) wrt x.\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 5 (b) 8 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11979185*h**3 + 2*h**2 + 177419548*h wrt h.\nAnswer: -71875110*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*d + 72, 11*c - 12*c + 39 = 2*d. Suppose -m - 30 = -3*m. Suppose d*q = m*q + 240. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 6 + -38 + -7 + 6 + 6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -140670 - -0.2.\nAnswer: -140669.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712444568.\nAnswer: 2, 339055571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.559*1.\nAnswer: -21.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.9, -47, 2\/13 in increasing order.\nAnswer: -47, -3.9, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Let o(v) = 0*v - v + 4 + 3*v - v**3 - 2*v**t + 4*v. Let g be o(-4). Solve m = -2*k - m - g, 0 = -4*m - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 - 8*f + 2. Let l = -11 - -16. Let c(p) = -p**2 - 590947*p + 590940*p + 2 + 5*p**2. What is l*i(h) - 6*c(h)?\nAnswer: h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130115 - 2245?\nAnswer: -132404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -5. Let c = t + 0. What is the third smallest value in 3\/4, -2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456060.\nAnswer: 2, 5, 47, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 19*t + 4073. Let z be f(55). Solve -5*s + z*v + 2*v + 45 = 0, -2*s - 2 = 2*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3830*t**3 - t + 2. Is d(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 968\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 227122 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 2*q - 11. Give u(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 5*q - 5. Let k be m(-5). Let y(r) = r**4 + 7*r**2 - 2. Let p(a) = a**4 + 13*a**2 - 4. Let s(c) = k*y(c) + 3*p(c). Let s(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/9, 2\/3, -3, 2, -0.29022, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1114 - 1062. What is the greatest common divisor of z and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 5:57 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-1 + -1) - -18. Suppose -i + h = -62. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -2, 4, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 - 162. Solve 0 = t*h - 9*h + 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(0 - 2\/(-4)). Let i(u) = 3*u**2 - 17*u - 3. Let x be i(6). Suppose -x*k + 9 = -y*k. Solve 3*s + k*w = s - 9, 1 = -w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = s + 5*l, -2*s = 5*l + 15. Let p(f) = 57198*f**2 - 7 - 57197*f**2 - 5*f + 2*f. Let i be p(s). Solve -4*c + i*c = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559\/(-6020) - (-3)\/20.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 - 61) + 6 + -2 + 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576758?\nAnswer: 2, 7, 13, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**5\/60 - 5*t**4\/24 + t**3\/3 + 3*t. Let z(m) be the second derivative of j(m). What is the units digit of z(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18, 0.3, 328, 34, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Let s be g(1). Suppose n = -s*n + 1. Calculate the remainder when 35 is divided by ((-2)\/(-4))\/(n\/26).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39505*p**2 - 4368*p**2 - 35000*p**2.\nAnswer: 137*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**4 - 21*h**2 + 21*h**2 + 2*h**4 + 3*h**4 - 7*h**4 + (2*h**4 + 0*h**3 + 0*h**3)*(-4 + 5 - 2) as r*h**3 + j*h**4 + g*h**2 + o*h + s and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) -0.02 (c) 0.2 (d) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 5 = -2*m - 23, 21 = -4*m + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2108.93 + 0.034\nAnswer: 2108.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 7:42 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (4 + -6 - -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-3 - -8 - (-6 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6282706287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6769491?\nAnswer: 3, 19, 113, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -26 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -0.1 (c) -1\/3 (d) 65\/9 (e) -1\/6 (f) -962\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 5:51 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + -155 + 21 + 0?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89786 + -89747.0013. Let j = -39 + a. Round j to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7962, -11930, -18526, -27744, -39578?\nAnswer: -54022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 21*c**2 + 69*c - 1451. Let w be r(21). Which is greater: -195\/56 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29477 + 315*v**2 + 29477 + 185*v**4 wrt v.\nAnswer: 4440*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -98\/47539?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 q when three letters picked without replacement from aqqaaaqaqqaaqq?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87778 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - r**2 - 6*r - 1. Let g be f(-2). What is the greatest common divisor of g and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**2 - 8*r + 3. Let h(a) = 26*a**2 + 25*a - 8. Determine -3*h(l) - 8*p(l).\nAnswer: -6*l**2 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.137 plus 359712?\nAnswer: 359724.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 53 + 18 + (1 - 4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1068116 to four decimal places.\nAnswer: 0.1068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*g + 10*g. Is 6 a factor of 26*3*g\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, f: 3, c: 1}. What is prob of sequence ff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -43. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -305808076.\nAnswer: 917424228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1326.37 + 1326. Put 5, 7, t in decreasing order.\nAnswer: 7, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**2 + 67*a - 19. Let w(v) = -6*v**2 + 35*v - 10. Give 6*q(f) - 11*w(f).\nAnswer: 12*f**2 + 17*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:37 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8003468m in kilometers?\nAnswer: 0.0008003468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**4\/4 - 51*q**3 - 7593*q**2\/4 - 16883*q\/2 - 6594 = 0. What is q?\nAnswer: -157, -42, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7654360603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z. Let k(y) = y**2 + 18. What is k(x(h))?\nAnswer: 36*h**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(209)*-2*2)\/(sqrt(99) + (sqrt(99) - (sqrt(99) + (sqrt(99) - (sqrt(99) - sqrt(99)*-2)*1 - sqrt(99))))) + -1.\nAnswer: -1 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4\/2 - 2*y**3 - 11*y**2 - 15*y - 98. Is 9 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8260 = -2*u + 37*u. Solve -u = -9*x - 263 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b - 165. Give d(45).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/2013*1111\/(-303)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 19*r - 59. Let t be w(14). Calculate the least common multiple of 95 and (-6)\/12*(-242)\/t.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9314*h**2 - 3921*h**2 + 420 - 34234*h - 2098 + 34234*h wrt h?\nAnswer: 10786*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 2308*l - 2 - 1312*l - 1178*l - l**2 - 3*l**2 to a*l**2 + x*l + i*l**3 + d and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 6275 = 8025. Let t be a\/(-11) - ((-265)\/55 + 5). Find the third derivative of -t*x**3 + 5*x**2 + 89*x**3 + x**5 + 2*x**2 + 2*x wrt x.\nAnswer: 60*x**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 20 = 0, -6*t + 7*t + 13 = -2*b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 43*a**2 + 85*a - 1393. What is z(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 3:16 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**3 + 6*s**3 - 3*s**2 + 9*s**3 - 1 in the form l*s + r*s**3 + g*s**2 + b and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s. Let v(b) = 3*b. Let r(c) = -6*d(c) + 15*v(c). Let g(h) be the second derivative of -5*h**4\/12 + 11*h. Determine g(r(u)).\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5791500?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(320)*-2 - (-2 + sqrt(320)*2)) + 4)**2.\nAnswer: -256*sqrt(5) + 5136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897514.\nAnswer: 2, 97, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a - -138?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 258\/(-8))*24. Round i to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 611 - 547 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 106 - 205 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 36 = -2*b, -8 = -2*a + 3*a - 4*b. What is the least common multiple of (15\/6 - 4)*a and 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1, 1.165?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1101011010 (base 2) to base 12\nAnswer: -5b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**7\/5040 + u**6\/144 - u**5\/15 - 41*u**2. Let v(k) be the third derivative of x(k). Let m = -11 - -6. Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -535560, -535559, -535558, -535557, -535556, -535555?\n\"Answer: y - 535561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100011010000011000111 (base 2) to base 15.\nAnswer: -131588d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -2*i + 131 - 52. Calculate the remainder when 1616 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3 and -11\/182139?\nAnswer: 182139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4235 - 1?\nAnswer: 4234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16 - 4*433706\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuthlzqhzhttutl. What is prob of picking 1 u and 2 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4368)\/(-910) + 3\/15. What is the third biggest value in z, -2\/7, -1233?\nAnswer: -1233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*b + (-11 + 1 - 3)*(-b + 3*b - 3*b) + (-3*b + 4*b + 0*b)*(-1 - 1 + 0).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 8:47 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**2 - s**2 - 6*s**2 + (-3*s**2 + 17*s**2 - 2*s**2)*(59 + 63 - 82 - 3 + 5 - 4 + 6 - 1 - 4 + (-2 + 0 + 1)*(4 + 0 - 2))*(3 - 4 + 2).\nAnswer: 443*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 653, 601, 1 in ascending order.\nAnswer: 1, 601, 653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) 0.1 (c) 0 (d) 13 (e) 0.18 (f) -1035\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = 3*r, -2*x + 10 = 2*x - 2*r. Find the second derivative of -17*n - 3*n**4 + 14*n + x*n**4 wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v + 3. Let r be o(-9). Let i = -11 + r. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 13*s**3 - 4*s**2 + 10*s + 1. Let x(k) = -3*k**3 - k**2 + k. Give i(m) - 5*x(m).\nAnswer: 28*m**3 + m**2 + 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -96. Let j = t + 19. What are the prime factors of -119*(-3 - j\/21)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 - 57. Let y(t) = 2*t**2 - 2*t - 5. Let u be y(-4). Let q = u - 19. What is the remainder when k is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h + 1. Let m(q) = 23 - q**3 + 4*q**3 - 22. Let r be m(h). Let a(g) = -4*g**2 - 5*g + 7. Let u(f) = 2*f**2 + 2*f - 3. Determine r*a(b) + 9*u(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 5 (b) 8 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - -18*(-3)\/9. Suppose d + 2*d = -v*h + 193, -4*h - 5*d = -191. What is the least common multiple of h and 56?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 g, and 1 z when three letters picked without replacement from {e: 2, d: 1, i: 1, z: 2, g: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 253*c**4 - 242*c**3 + 464*c**2 - 257382014 wrt c?\nAnswer: 1012*c**3 - 726*c**2 + 928*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 4. Let m be 0 + (-4)\/3*9\/6. Let n(c) = 2*c - 13. What is m*n(l) - 7*u(l)?\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 19*p - 46. Let z(u) = -57*u + 137. Let b(l) = 11*h(l) + 4*z(l). What is the first derivative of b(j) wrt j?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/82351102004 - -34255046483283754663\/3211692978156. Let z = s - 10665874. Let k = z + 1694\/13. Calculate the common denominator of 23\/4 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886b4 (base 12) to base 15.\nAnswer: 38827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2)\/(-8)) + 77\/11. Let a = -640 + 645. Solve -g*q - 18 + 2 = b, -4*q - a*b - 36 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150982388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let v(m) = -2*m - 4*m + 3*m + 2 - 2*m. Determine -v(g) - 4*y(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9737\/930 + -14\/465. Suppose -3*d = -d + 142. What is the common denominator of (d\/(-16))\/(-1) - -1 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-2 - 4) + 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10126384 a multiple of 982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 + z**5 - 2*z**5 + (-3*z**3 + z**3 + z**3)*(0*z**2 + 5*z**2 - 2*z**2) - 3*z**5 + 2*z**5 + 3*z**5 - z**5 + z**5 + 2*z**5 - 2*z**5 + z**5 + 4*z**5.\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 + 27*u**2 - 6*u - 3. Let r(b) = 3*b**3 + 20*b**2 - 5*b - 2. Let m(k) = -7*q(k) + 9*r(k). What is m(-9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4237*g**3 + 8483*g**3 - 200 - 4247*g**3 + 219.\nAnswer: -g**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 14786252.\nAnswer: 29572504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5764*t + 5759*t + 13*v + 43 = 0, 32 = 5*t - 2*v for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 3. Let o = -16 + 21. Let t(v) = -v + o + 7*v - 7*v - 2*v. Suppose -7 - 13 = -4*r. What is r*q(c) + 3*t(c)?\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101 (base 2) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 727472 + -375?\nAnswer: 727086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j - 2*u - 16 = 0, 0 = u + 1. What are the prime factors of (4\/(-5))\/(j\/140)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/((-20)\/(-40))*3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7555 times 0.538\nAnswer: -4064.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5868252717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -3*k**2\/2 - 5*k + 1. Suppose -2*o + 3849 - 3859 = 0. Give s(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30387932 to the power of 1\/2, to the nearest integer?\nAnswer: 5513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 964 or 1119?\nAnswer: 1119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g**3 + 1. Suppose 0 = -y - 8 + 9. Give q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18)*216\/9)\/(8*4\/96).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200 - 189. Suppose 8*f = -u*f + 285. Suppose 0 = -3*c + 6 + 123. Calculate the remainder when c is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00410156 rounded to 4 dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.54 * -177751.\nAnswer: -95985.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65559613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570 a factor of 234903997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*u + 236 + 710 = -913 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-3)\/(-24))\/((-105)\/(-140)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/6)\/((-14)\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-66)*31*(-69)\/1426.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:59 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/11 and -71\/2090.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -22. Let d = -4 - m. What is the biggest value in 3, -1, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34606 * -29.49.\nAnswer: 1020530.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwsw. Give prob of sequence wf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 37*j**2 - 5 - 108*j**2 + 40*j**2.\nAnswer: -105*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3699.28038 rounded to 1 dp?\nAnswer: -3699.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 + 1112011112210202?\nAnswer: 1112011112210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5374*n + 40. Let j(x) = 5374*x - 59. What is 3*b(m) + 2*j(m)?\nAnswer: -5374*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + v = 15 - 20, 10 = -4*f + v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.4764.\nAnswer: -0.04764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 7*y - 5. Let l = 17 - 10. Let o be q(l). Is (182\/(-35))\/(2\/o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 3*w - x, -x = -2*w + x - 34. Let g = -51 - w. Let o be 8\/20 - g\/(-25). Which is smaller: 2\/9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 5*a**2 - a - 4. Let u be w(-5). Let p(x) = 4*x**3 - x**2 + x - 1. Let o be p(u). Suppose o*n = -2*n + 140. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*g**3 + 1709*g**3 - 1807*g**3.\nAnswer: 307*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 32*f**2 - 344*f - 12626. Determine k(-33).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(-3 + 3 - 6*a)*(64*a**2 + 20*a**2 - 2*a**2)*(4*a - 7*a + 2*a) to t*a + s*a**4 + f*a**2 + m + q*a**3 and give s.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 104 - 872. Calculate the remainder when b is divided by 54.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-12)*(-3)\/2. Let g be x\/(2\/1) - -4. What is the second derivative of -5*m**3 - m + 3*m**3 + g*m wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 - -111. Suppose 39*h + 25 = s*h. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1904*q**2 + 482*q - 1. Let v(m) = -3808*m**2 + 988*m - 2. Let g(a) = 5*p(a) - 3*v(a). Find the second derivative of g(j) wrt j.\nAnswer: 3808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39861720 a multiple of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1583 - -1575.103. Let f = p - 0.003. Let s = f - -8. Which is smaller: s or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 16 = -4*i, 4*p + 39 = 7. Which is smaller: -98 or i?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - ((-5 - -3) + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24232369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -v + 9. Let f = 16 - 9. Suppose -v*x = -f*x + 4*s + 204, -5*s = -15. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 12312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 42530 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 322, 1, -4, 2 in descending order.\nAnswer: 322, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*p - 16 = 0, k - p - p + 1 = 0. Solve k*o + 3*z = -0 - 15, 4*o + 17 = -3*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 9*f + 12. Let b be j(-10). Let i be -18*1\/(-2)*b. Let w = -2 + i. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttfdamdk. What is prob of sequence dk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10527 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}