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*s. Calculate the greatest common factor of s and 52.
52
Let p be (3 - 0)*5 + -3. Calculate the highest common factor of p and 12.
12
Suppose 103 = 4*i - 5*v - 0*v, 0 = -5*i - 4*v + 139. Let k = i - 11. What is the highest common divisor of 80 and k?
16
Let x = 46 + -28. What is the highest common factor of 9 and x?
9
Let q(k) = 30*k + 8. Let s be q(3). Calculate the highest common factor of 14 and s.
14
Suppose 0 = -3*m + 20 + 25. What is the greatest common factor of 105 and m?
15
Let x(s) = s**2 - 12*s - 10. Let p be 48/3 - 12/4. Let n be x(p). What is the greatest common factor of 24 and n?
3
Suppose 19*l = -0*l + 2508. What is the highest common divisor of l and 36?
12
Let k = -6 - -8. Let i be (-2)/(k/(-12)*4). Calculate the greatest common divisor of 6 and i.
3
Let x(c) = -2*c. Let d be x(-1). Let u be (-2 - -53)*d/2. Suppose -7*i = -2*i - 85. What is the highest common divisor of u and i?
17
Suppose 0 = -16*u - 4*u + 160. What is the highest common divisor of 104 and u?
8
Let q(h) = h**3 + h**2 - h + 1. Let x be q(1). Suppose 0 = -3*n + x*n + 4*m + 65, 4*n - m = 185. Calculate the highest common divisor of 15 and n.
15
Let v(d) = 7*d**3 + 2*d - 1. Let u be v(1). Calculate the greatest common divisor of u and 24.
8
Suppose 4*m = -1 - 11. Let d be 3/m + 1 + 12. Let b = 23 - d. Calculate the highest common divisor of b and 55.
11
Let i(r) = -r + 9. Let o be i(9). Suppose o = -0*u + u - 4*v - 34, -u - v + 9 = 0. Let j = 25 - u. What is the greatest common factor of 121 and j?
11
Let x = 365 + -211. What is the highest common factor of 22 and x?
22
Suppose 6 = 3*b - 33. Calculate the highest common divisor of 143 and b.
13
Let r(s) = s**2 + 3*s - 10. Let i be r(-7). Calculate the highest common factor of 18 and i.
18
Let t = 54 - 30. Suppose 3*z - t = z. Calculate the greatest common divisor of 84 and z.
12
Let o be (-6)/(-9)*(-4 - -7). What is the greatest common factor of o and 4?
2
Let b be 315/(-10)*((-5)/(-3) - 3). Calculate the highest common divisor of 126 and b.
42
Let q(s) = 6*s**2 - 1. Let w be q(4). Suppose j + w = 6*j. What is the highest common divisor of j and 152?
19
Let k(j) = -j - 7. Let b be k(-10). Suppose -5*n - 419 = -3*m, 6*n - b*n - 435 = -3*m. Let v = -12 + 25. What is the highest common divisor of m and v?
13
Suppose -85 = 2*q - 3*x, 2*x - 86 = -3*q + 5*q. Let u be 6/(-33) + (-4936)/q. Calculate the highest common divisor of u and 14.
14
Suppose 0 = -2*v + 4*v. Suppose 2*t - 6 - 6 = v. What is the highest common factor of 9 and t?
3
Suppose -5*k + 17 = -4*k. Calculate the greatest common divisor of 34 and k.
17
Suppose 30 = -20*m + 19*m. Let l be (-648)/m - 6/10. What is the highest common divisor of l and 126?
21
Let a be -12*2*1/(-4). Suppose -72 = -9*w + a*w. What is the highest common factor of w and 96?
24
Let u(a) = a + 2. Let t be u(5). Calculate the greatest common divisor of t and 56.
7
Suppose 159 = 5*v + 2*r, -3*r - 16 = -2*v + 59. What is the highest common divisor of 297 and v?
33
Let r = 7 - 14. Let s(o) be the first derivative of -o**4/4 - 8*o**3/3 - 9*o**2/2 - o + 4. Let u be s(r). What is the greatest common factor of u and 26?
13
Suppose -5*u + 10 = -0. Calculate the greatest common divisor of 10 and u.
2
Suppose 13*f = 5*f + 16. Calculate the highest common divisor of 24 and f.
2
Let j = 11 - 8. What is the highest common factor of 21 and j?
3
Let j = 3 + 8. What is the greatest common factor of j and 55?
11
Suppose 6 = -u - m - m, -3*m = -4*u + 20. Suppose 0 = -u*q + 5 + 7. Let h(d) = d**2 + d - 7. Let f be h(q). Calculate the highest common factor of 14 and f.
7
Let a be -5 + 4 - 128/(-2). Calculate the highest common divisor of 7 and a.
7
Let k = -27 - -40. Calculate the greatest common factor of 143 and k.
13
Let x(k) = -k**3 - 5*k**2 + 4*k - 10. Let q be x(-6). Let s be ((-6)/8)/(2/(-8)). Suppose -6 = -s*a + 12. What is the highest common factor of a and q?
2
Let w = -39 + 45. What is the highest common factor of 18 and w?
6
Let s be (-2 + 2)/(0 + 2). Let v = -4 + s. Let w be 30/4 + (-2)/v. What is the highest common divisor of 16 and w?
8
Let p = -37 + 120. Suppose p = 5*g + 2*u + 13, -2*u = -4*g + 56. What is the highest common factor of g and 112?
14
Suppose 0 = -5*q + 6*q - 1. Let z be q*(8 - 3/1). Calculate the highest common factor of 2 and z.
1
Let d be (2 + -1)*(1 + -1 - -20). Calculate the greatest common factor of d and 30.
10
Let n(w) = 2*w**3 + 4*w**2 - 7*w + 3. Let g be n(3). What is the greatest common divisor of 9 and g?
9
Let r(g) = -g - 5. Let v be r(-7). Suppose -v*t - 2*t + 252 = 0. Calculate the highest common divisor of 7 and t.
7
Let i be ((-6)/15)/((-1)/15). Suppose -2*y = -y - i. Calculate the highest common factor of y and 18.
6
Let v be 67 + 2 + (-3 - 3). Calculate the greatest common divisor of v and 21.
21
Let y = -5 + 7. Let b be (-1)/y - 2/4. Let d be -2 - (-2 + (b - 161)). What is the greatest common divisor of d and 18?
18
Suppose 0 = -2*b - 5*c + 8, 8*b = 4*b + 5*c + 16. Calculate the greatest common divisor of b and 2.
2
Let m = 31 - 7. Let t = -3 - -1. Let w be (t - 4)*12/(-9). What is the greatest common factor of w and m?
8
Suppose -3*s + 45 - 249 = m, -4*s - 272 = 3*m. Let d = 9 - s. What is the greatest common divisor of d and 11?
11
Let b be (-51)/(-12) + (-2 - (-21)/12). What is the highest common divisor of b and 10?
2
Let q(x) = -x**3 + 11*x**2 + x - 11. Let h be q(9). Calculate the highest common divisor of h and 16.
16
Let c(h) = h + 1. Let f be c(3). Suppose 4 - 52 = -4*a. Calculate the greatest common factor of a and f.
4
Let q(o) = o + 13. Let v be q(-6). Let c be (-2)/8 + (-759)/(-12). Suppose 3*k - 6*k = -c. What is the highest common divisor of v and k?
7
Let b = 89 + -83. What is the greatest common factor of 54 and b?
6
Let s be (45/(-6) + 2)*-6. What is the greatest common divisor of s and 110?
11
Suppose -25 = -5*q, 2 + 6 = -2*m - 2*q. Let w = -3 - m. What is the greatest common divisor of w and 24?
6
Let k(z) = 15*z**2 + z - 1. Let v(o) = o - 3. Let m = -8 - -12. Let g be v(m). Let x be k(g). Calculate the highest common factor of 105 and x.
15
Let q be (-46)/6 - 6/(-9). Let u(t) = -2*t + 1. Let n be u(q). Calculate the greatest common divisor of n and 15.
15
Let m(l) = -5*l - 33. Let s be m(-15). What is the greatest common divisor of 28 and s?
14
Suppose 4*s - 253 = 4631. Suppose 4*r + 297 - s = 0. Calculate the highest common divisor of r and 21.
21
Suppose -2*l - 2*l + 24 = 0. Let x = 360 + -357. What is the highest common divisor of l and x?
3
Let z be (-4)/2 - (-37 - 65). Let b = 6 - -14. Calculate the greatest common divisor of z and b.
20
Let q be 3/2*(-16)/(-6). Suppose -2*m + 4*m = q. Let d be 0 + 0 - (2 - 10). Calculate the highest common factor of m and d.
2
Suppose 7*l - 9*l = -256. What is the greatest common divisor of l and 16?
16
Let k(j) = -2*j**2 + 2*j + 6. Let w(i) = -3*i**2 + 2*i + 5. Let v(l) = 4*k(l) - 3*w(l). Let q be v(-7). Calculate the highest common factor of 4 and q.
4
Suppose 4*b - 2*b = 14. Calculate the highest common factor of b and 21.
7
Let b(d) = -d - 4*d**2 + 1 + 0*d + 5*d**2. Let y be b(3). What is the highest common factor of y and 7?
7
Let j be 6/(-9)*-18*2. Calculate the greatest common factor of 72 and j.
24
Let v(y) = -2*y + 23. Let d be v(5). What is the greatest common divisor of d and 117?
13
Let i = -31 - -111. Calculate the highest common divisor of 20 and i.
20
Let m be (5/2)/(4/(-24)). Let k be (-276)/m + 2/(-5). What is the greatest common divisor of k and 126?
18
Let k(q) = q**3 - 12*q**2 + 41*q - 2. Let n be k(6). Let t be 1 - (-18)/(2/1). Let c = t - 3. What is the highest common factor of c and n?
7
Suppose -3*s = -t - 2*t - 528, s - 160 = 5*t. What is the greatest common factor of 20 and s?
20
Suppose 4*i - 2*i = 10. Suppose -3*u + 3 = -i*a - 68, 145 = 5*u - 3*a. Calculate the highest common factor of 4 and u.
4
Let y(p) = -p**3 - 3*p**2 - 7*p - 6. Let n be y(-4). Suppose 0 = v + 4*v - 95. Calculate the greatest common divisor of v and n.
19
Suppose 4*w = 41 + 15. Let h(g) = 7*g. Let y be h(3). Calculate the greatest common divisor of w and y.
7
Let t be (-5)/15*(67 - -2). Let w = 32 + t. Let r = -5 + w. What is the highest common divisor of r and 4?
4
Let l(p) be the second de | {
"pile_set_name": "DM Mathematics"
} |
. Suppose 5*n - 1008 = -s. Is n a multiple of 36?
False
Let s be ((-2)/6)/(1/(-663)). Let d = s + -121. Does 10 divide d?
True
Let o be 416/(-42)*-39 - (-2)/(-7). Let j = -267 + o. Is 43 a factor of j?
False
Suppose 11*g + 24 = 14*g. Suppose -9*f = -g*f - 104. Is f a multiple of 13?
True
Let k = 17 + -33. Let c = 18 + k. Suppose c*y = -3*x + 67, -y - 32 = -3*x + 4*y. Is x a multiple of 18?
False
Does 13 divide (-15)/45 - 154/(-3)?
False
Is (17 + 296)*(2 - 0) a multiple of 10?
False
Let f(k) = -k**2 + 19*k. Let p be (45/(-12))/(-3)*(0 - -8). Does 45 divide f(p)?
True
Let b(h) = h**3 - 12*h**2 + 4*h - 13. Let f be b(12). Is 14 a factor of 3409/f - ((-6)/(-15) - 1)?
True
Let v(x) = 3*x - 4. Let q(n) = 7*n - 9. Let d(r) = -2*q(r) + 5*v(r). Let t be d(-4). Let p(u) = u**2 + 6*u + 11. Is p(t) a multiple of 3?
False
Suppose -3*s - 2*x = 2*s - 930, 5*x = 0. Is 26 a factor of s?
False
Let w be -4 + 36 + 4/(-1). Does 32 divide 385/4 - 7/w?
True
Suppose 2*c - 6*c - 12 = 0. Let v = c + 5. Is 2 a factor of -1 + 2 - (v - 5)?
True
Let w(s) = -s - 6. Let y be w(-8). Suppose -b - 5*u + y = 0, 5*u - 18 + 4 = 3*b. Let q(g) = -2*g**3 - 3*g**2 + 2*g + 4. Is q(b) a multiple of 7?
False
Suppose -b + 0 = -4. Is 12 a factor of (14 + -18)*(-151)/b?
False
Let v = -669 + 1365. Is v a multiple of 24?
True
Is 4 a factor of (2 - 0)*(580/8 + -4)?
False
Suppose -5*y + 4*p = -y - 16, 4 = -p. Does 16 divide 9/(-6)*(y - (-320)/(-15))?
True
Let y(b) = 7*b**3 - 2*b. Let w(z) = 6*z**3 + z**2 - z - 1. Suppose -l - 4*k = 2, -l = 2*l - k + 19. Let j(s) = l*w(s) + 5*y(s). Is j(-6) a multiple of 10?
True
Let n(o) = -o**3 + 31*o**2 - 9*o - 49. Is n(29) a multiple of 49?
True
Let n = -49 + 143. Let p = n - -76. Is 22 a factor of p?
False
Let a(x) = x - 14. Let p be a(11). Let h be (-3)/(p*(-1)/4). Let y = 22 + h. Is 5 a factor of y?
False
Suppose -5*p = -3*n + 488, -2*n + 327 = -2*p - p. Let q = n - 35. Does 34 divide q?
True
Let x(m) = -m - 11. Let d(k) be the third derivative of -k**4/24 - 5*k**3/3 + 5*k**2. Let h(f) = 2*d(f) - 3*x(f). Is 3 a factor of h(-7)?
True
Let d(i) = 7*i**3 - 5*i**2 - 19*i + 1. Let c(w) = 4*w**3 - 2*w**2 - 10*w + 1. Let t(y) = -5*c(y) + 3*d(y). Let z be t(6). Let h = 26 + z. Is 11 a factor of h?
False
Let v(s) = 5 + 51*s + 55*s - 106*s + 5*s**2. Is 13 a factor of v(5)?
True
Suppose -2*d - 10 = -2*s + 128, 0 = -d - s - 73. Let v = d + 134. Suppose 0*m = m - v. Is m a multiple of 21?
True
Suppose 14*x - 45*x + 4464 = 0. Is x a multiple of 16?
True
Let p be 2 + -3 + 2 - 3. Let t be 1/((-2)/4) + 8. Let q = t + p. Does 2 divide q?
True
Suppose -4*i - 2 = -3*o, 5*o - 6*i + i = 5. Suppose -2*k + o*r = 3*r - 161, 3*k - 241 = -r. Is k a multiple of 5?
True
Let o = 1385 - 782. Is o a multiple of 45?
False
Let s(u) = 13*u + 2. Let z(r) = -10*r - 1. Let c(b) = 5*s(b) + 8*z(b). Let k(a) = a**2 + 5*a + 3. Let d be k(-4). Does 7 divide c(d)?
False
Let f(m) = m**2 + 2*m - 5. Let t be f(-4). Suppose -t*l + 8 = -2*l. Let k = 54 - l. Is k a multiple of 23?
True
Let m(g) = 156*g**3 - g**2 + 6*g - 8. Is 8 a factor of m(2)?
True
Let i(u) = -822*u - 9. Let p be i(-3). Let c be (-2)/3*p/(-26). Suppose -c = -3*s + 129. Does 8 divide s?
True
Let u = 39 - -207. Does 6 divide u?
True
Suppose -20*r + 3*o - 189 = -23*r, -179 = -3*r - o. Is 2 a factor of r?
True
Let r(f) = -9*f - 5. Let n be r(-2). Let b = n + -20. Let t = b - -18. Is t a multiple of 4?
False
Let y(u) = u + 7. Let n be y(-4). Let d = -3 + n. Suppose d = -2*w + 19 + 1. Is w a multiple of 5?
True
Let z(m) = -m**3 - 1. Let a(b) = 84*b**3 + b + 1. Let j(t) = a(t) + 3*z(t). Does 10 divide j(1)?
True
Let s(j) = -4*j**3 - 5*j**2 + 15. Is 39 a factor of s(-5)?
True
Let a(x) = 5*x**3 + 2*x**2 + 3*x - 4. Let v(u) = 5*u**3 + u**2 + 2*u - 3. Let m(g) = -3*a(g) + 4*v(g). Let h be m(-1). Is 18 a factor of (-4)/h - 106/(-3)?
True
Does 8 divide (9/(-2))/(-1)*32?
True
Let x(g) = -g**3 - 8*g**2 - 59*g + 21. Is 15 a factor of x(-12)?
True
Suppose 32 + 13 = 5*l. Let u(a) = a**2 - 8*a - 6. Let j be u(l). Does 11 divide (3 - j/1) + 61?
False
Let t(l) = -29*l - 79. Does 3 divide t(-11)?
True
Does 6 divide 6 - 3 - 27*-9?
True
Suppose -10*b + 766 = 3*i - 6*b, 4*i - 988 = 3*b. Is 10 a factor of i?
True
Let d be (-20 - -21)/(1/(-133)). Let w = 244 + d. Is 37 a factor of w?
True
Suppose -14*y = -10*y - 4708. Does 32 divide y?
False
Let r(p) = p**3 - 6*p**2 + 6*p - 32. Does 12 divide r(8)?
True
Suppose 31*n = 42*n + 264. Let p(x) = 6*x**2 + x + 1. Let z be p(3). Let f = n + z. Does 17 divide f?
True
Let h(y) = -y**2 - 15*y - 7. Let z be h(-14). Let s = z - 4. Suppose 18 = s*x - 2*x. Does 6 divide x?
True
Let p be (-50)/75*(-18)/4. Suppose 106 = p*r + 2*c, -5*r - 3*c = -107 - 70. Is r even?
True
Suppose -2738 - 1827 = -5*g. Is 23 a factor of g?
False
Suppose 2*l - 24 = -5*g, -5*g + 0*l = -l - 18. Suppose -5*p = g*d - 55, p + 27 = d + 2*d. Let v = d - 5. Is 5 a factor of v?
True
Suppose -i + 13 = 8. Suppose -i*o + 0*o = -850. Let b = o - 95. Is 13 a factor of b?
False
Does 21 divide (-3)/(3/394)*(-172 - -171)?
False
Suppose -69*n + 1351 = -857. Let k(q) = q**3 + q**2 - q + 1. Let y be k(2). Let b = y + n. Is 18 a factor of b?
False
Let p = -26 - -31. Suppose r = -2*v + 245, r = -3*v + p*r + 340. Is v a multiple of 30?
True
Let b = -88 - -90. Suppose -3*f = -b*f - 25. Is 2 a factor of f?
False
Let f = 303 + -179. Suppose 3*s = -s - f. Let u = s - -46. Is u a multiple of 4?
False
Suppose -540 = -5*v - 2*h, -2*v + 4*h = -6*v + 432. Suppose 5*i - 6 = o + v, 4*i - 76 = -3*o. Is 18 a factor of i?
False
Is 13 a factor of (608 + -5)/(-9)*-2?
False
Suppose 0 = 2*u - 63 + 25. Let d = 28 - u. Does 4 divide d?
False
Suppose 43*c - 40432 = 5*c. Does 71 divide c?
False
Suppose j - 5*g = 44, 0 = 3*j - 3*g - 192 + 48. Suppose 0 = 3*c - 20 - 16. Is 15 a factor of (c/3 - 3) + j?
False
Let y = 224 + 123. Does 25 divide y?
False
Let n = 2097 - 225. Is 12 a factor of n?
True
Suppose 0 = -5*p + d - 0*d - 1053, 424 = -2*p - d. Let r = -124 - p. Is 29 a factor of r?
True
Let v be -19 - ((0 - -3) + -3). Let g = v - -20. Is -18*(g - 2)*1 a multiple of 6?
True
Suppose -5*w = -13 - 12. Suppose 9*n - 308 = w*n. Does 11 divide n?
True
Suppose -x + v = 0, -x + 0*v = -2*v. Suppose x = -3*l + 6*l - 9. Suppose 0*b + 157 = l*b + 2*m, 105 = 2*b + m. Is 12 a factor of b?
False
Suppose 3*b = 4*t + 89, -5*t + t = b + 77. Let i be (-1)/(t/6 + 3). Suppose 0 = 5*y + 2*w - 12, 4*y = i*w + 7 - 2. Is 2 a factor of y?
True
Suppose 5*h = h - 5*w - 38, 3 = h - 5*w. Let a = -9 - h. Let i = a - -8. Does 2 divide i?
True
Suppose -8 = 2*j - 4*j - 4*s, -3*s = 2*j - 5. Is 6 a factor of j + 54 + 24/(-6)?
True
Let q = 32 + -28. Let w(r) = -r**3 + 7*r**2 - 8*r + 8. Is 6 a factor of w(q)?
True
Suppose -4*q + 0*n + 259 = 5*n, -73 = -q - 4*n. Is 39 a factor of q?
False
Suppose -3*x - 2 = -2*x, -272 = -2*a + x. Does 9 divide a?
True
Let h = 14 + 40. Suppose -z - 32 = -0*f - 2*f, 5*f = -z - 4. Let u = h + z. Does 6 divide u?
True
Is 33 a factor of -1 - -1 - 2864/8*-1?
False
Does 8 divide 18/30 - 1637/(-5)?
True
Let k(j) = -2*j**2 + j - 5. Let m be k(-3). Let r be ((-13)/m)/(1/(-2)). Let u = r - -8. Is u a multiple of 2?
False
Suppose -5*f = 4*v - 25, -23 = -5*v - f + 3*f. Let x = -3 - v. Is (12/x - 0)*-8 a multiple of 7?
False
Let j(k) = 149*k - 72. Is j(4) a multiple of 20?
False
Suppose 3*d + 28 - 7 = -2*g, 5*d + 5*g + 35 = 0. Let r(b) = 5*b - 6*b**2 - 1 + b - 3*b - b**3. Does 14 divide r(d)?
False
Let h = -984 - -1270. Does 16 divide h?
False
Let t = -2370 + 3700. Does 19 divide t?
True
Is 19 a factor of (-110)/44 - (-1)/(4/7686)?
True
Let n(w) = -w**3 - 2*w**2 + w - 7. Let y be (-8)/14 - 72/21. Does 7 divide n(y)?
True
Suppose 0 = 12*a - 10*a - 4. Suppose 0 = a*q - 16 - 136. Is q a multiple of 12?
False
Suppose 6935 = 5*q - 4030. Is q a multiple of 9?
False
Let n(t) = t + 6. Suppose 0*d + d + b = -5, -16 = 3*d + 4*b. Let c be n(d). Suppose 2*w = -c*k - k + 25, 4*w + 71 = 5*k. Is k a multiple of 9?
False
Suppose -81*j - 2200 = -83*j. Is j a multiple of 16?
False
Let y(j) = j**2 - 23*j + 51. Let w be y(26). Let k = w - 77. Does 10 divide k?
False
Suppose 78*u - 82*u = -3620. Does 75 divide u?
False
Let p be (-2)/(-10) + 5/(-25). Suppose 3*l = -p*l + 33. Suppose 0 = -b - 1 + l. Is 8 a factor of b?
False
Let z = | {
"pile_set_name": "DM Mathematics"
} |
dps.
-0.000006
Let n = -4 - -6. Suppose n*t = -5323 + 17739. Suppose -3*w - 3714 = -x - 2*x, -5*x - 4*w + t = 0. Round x to the nearest one hundred.
1200
Let i = -6806.0009691 + 6806. Round i to five decimal places.
-0.00097
Suppose -z - 7035 = -3*w, -2*w = -7*w - z + 11725. What is w rounded to the nearest 100?
2300
Let g = -8 - -8. Suppose 4*r - 5*r + 15422392 = g. Let o = r + -9022392. What is o rounded to the nearest 1000000?
6000000
Let c(y) = 3 - 10 + 1255*y + 7. Let s be c(6). What is s rounded to the nearest one thousand?
8000
Let x(s) = 266944*s**2 + 30*s - 164. Let m be x(6). What is m rounded to the nearest 1000000?
10000000
Let m = 445341 + -665977. Let q = m - -220633.60027. Let f = q + 2.4. Round f to 4 decimal places.
0.0003
Let l = 160.432 - 162. Let j = -0.148 - l. Round j to one dp.
1.4
Suppose -9*o + 142620759 = 16080759. What is o rounded to the nearest 1000000?
14000000
Let t = -0.5307 - 64.9293. What is t rounded to 0 decimal places?
-65
Suppose 4*q - 5*x - 235988 = -786368, -688008 = 5*q + 2*x. Round q to the nearest ten thousand.
-140000
Suppose s + 20 = 5*s. Suppose 6262 - 16967 = -k + w, s*k = 2*w + 53510. What is k rounded to the nearest 1000?
11000
Let q(n) = -32999*n**3 + 2*n**2 + 5*n + 10. Let j(z) = z**2 - 9*z + 18. Let g be j(4). Let r be q(g). What is r rounded to the nearest one hundred thousand?
300000
Let b(u) = 9 - 1 + 2899*u + 1 - 7. Let f be ((-8)/10)/((-8)/20). Let n be b(f). What is n rounded to the nearest one thousand?
6000
Let r = 3577.7 + -2874. Round r to the nearest ten.
700
Let t = -0.0190353 - -0.01924. Round t to five dps.
0.0002
Let v = 2.9 - 2.5. Let k = v + 0. What is k rounded to one decimal place?
0.4
Let m = -362.1 - -322. What is m rounded to the nearest integer?
-40
Let z = -0.052 + 0.052000695. Round z to seven decimal places.
0.0000007
Suppose 0 = -c + 5*c - 28. Let w(g) = 702041*g**2 - 4. Let l be w(c). Suppose a - 2*o - 8600002 = 0, 3*o = 4*a - 2*o - l. Round a to the nearest one million.
9000000
Let c = -9206 - -9587.1. Let p = -361 + c. Round p to the nearest 10.
20
Let g = 27.75 - 27. Let p = -4.65 + g. Let a = p + 3.899966. What is a rounded to five decimal places?
-0.00003
Let p(b) = b**3 + 6*b + 3. Let d be p(0). Suppose 0 = 3*o + 6, 850 = -3*l + d*o - 8*o. What is l rounded to the nearest one hundred?
-300
Let k = -1103 - 429. What is k rounded to the nearest 100?
-1500
Let t = -20.06 + 20. Let k = -0.05999986 - t. What is k rounded to 7 dps?
0.0000001
Let h = 214.6 + -2470.6. Let m = h - -2258.131. Let b = m + -0.191. What is b rounded to one decimal place?
1.9
Suppose -2*j - 2 = -20. Suppose j*o - 5*o = -8489384. Let t = 1082346 + o. What is t rounded to the nearest one hundred thousand?
-1000000
Let i = -0.03944 - -0.0389447. Round i to 5 decimal places.
-0.0005
Let n = 33 + 0.4. Round n to 0 decimal places.
33
Let l = -697 - -696.7484. Round l to 1 decimal place.
-0.3
Let k = 204 - 207.45. What is k rounded to the nearest integer?
-3
Let s = 38.92 + -39. Let v = -0.047 - s. Round v to 3 dps.
0.033
Let h(z) = -z + 8. Let t be h(8). Suppose 4*f - 4 = -t*f. Let a be 5/(f + (-83)/82). Round a to the nearest 100.
-400
Let u = 34.92 + -48.9. Round u to 0 dps.
-14
Let q = 0.7 + -17.7. Let f = q + 16.9999856. Round f to 6 dps.
-0.000014
Let w = -304 + 303.9999431. What is w rounded to five decimal places?
-0.00006
Let a = -20 - -88. Let j = a + -67.9999756. What is j rounded to six decimal places?
0.000024
Let y = 0.1759 + 43.0641. Let j = y + -47. Let b = -0.54 + j. What is b rounded to zero decimal places?
-4
Let t = 0.005894397672 + -443936.006404397672. Let y = 443942 + t. Let z = 6 - y. What is z rounded to 4 dps?
0.0005
Let l = 9.73 + -9.7414. Let t = 171111 + -171090.9114. Let h = t - l. What is h rounded to the nearest integer?
20
Let a = 136591720 + -531327992. Let f = a + 394736292.9999931. Let j = 21 - f. What is j rounded to 6 dps?
0.000007
Let s = -586.9739 - -587. What is s rounded to three decimal places?
0.026
Let f = 2.42 - 2.4199928. Round f to six decimal places.
0.000007
Let x = -0.005 - -39.005. Let f = 38.99935 - x. What is f rounded to 4 dps?
-0.0007
Let u = 1381.1734049 + -1381.355. Let q = u + 0.9815861. Let f = 0.8 - q. Round f to six decimal places.
0.000009
Suppose 372 = 5*t - 4*t. Let r be (12/(-14))/((-1)/7). Let h be (-200)/r*t/8. What is h rounded to the nearest one hundred?
-1600
Let g be -4*(-3)/(-6) - 10454. Let p = g - 4944. What is p rounded to the nearest one thousand?
-15000
Let c(x) = -2*x - 22. Let w be c(-8). Let v be (-4 + 270004)/(2/(-160)*w). What is v rounded to the nearest one million?
4000000
Let w(o) = 339*o**3 - o**2 + 2*o. Let f(j) = 339*j**3 - 2*j**2 + 2*j. Let z(q) = -2*f(q) + 3*w(q). Let a be z(2). What is a rounded to the nearest 100?
2700
Let w = -142.84 - -2.84. Let d = 99 + w. Let l = 41.54 + d. What is l rounded to 1 dp?
0.5
Let z be (150850/(-30))/(1/(-3)). Suppose -3*u + u - 6046 = -2*q, -5*u - z = 5*q. What is u rounded to the nearest 100?
-3000
Let f(o) = 25277*o**2 - 2*o + 16. Let a = -42 - -36. Let j be f(a). Round j to the nearest 100000.
900000
Let h = 13 + -8. Suppose h*l = q - 3162111 - 1007889, 2*q + 2*l = 8340000. Round q to the nearest 1000000.
4000000
Let p = 52.9305 + -0.0305. Let x = -52.89999433 + p. What is x rounded to six dps?
0.000006
Suppose 690600 = 6*d - 9*d. What is d rounded to the nearest 10000?
-230000
Suppose 805600 = -45*j + 37*j. What is j rounded to the nearest one thousand?
-101000
Suppose 3*k = 43 - 16. Suppose -6*a + k*a - 15 = 0. Suppose 2*t + 16 = -2*t, -a*o - 3*t - 180012 = 0. Round o to the nearest 10000.
-40000
Let d = 0.07701 + -384.97701. Let f = d + 411. What is f rounded to 0 dps?
26
Let r = 328.767 + -329. Let a = r + 0.166. Round a to two dps.
-0.07
Let n = 6.695 - -0.145. Let z = -7 + n. Let x = 0.182 + z. What is x rounded to 2 decimal places?
0.02
Suppose 4*s - 44 = -3*v + 3*s, 8 = v - 3*s. Let f be (-116639996)/18 + v/(-63). What is f rounded to the nearest 100000?
-6500000
Let f be 48/(-12) + -1 + 344005. Round f to the nearest 100000.
300000
Let t(p) = -p - 3. Let r be t(-5). Suppose r*u + 4 = 4*u. Suppose 2*n - 3*m = -u*n + 4428, -2*n + 2228 = 2*m. Round n to the nearest one hundred.
1100
Let a(x) = 992*x + 2. Let y be a(49). What is y rounded to the nearest 1000?
49000
Let c = -1391 + -1278. Let x = 21231 - c. What is x rounded to the nearest 1000?
24000
Suppose 0*v - 12 = -4*v. Let a(l) = -4900002*l + 6. Let q be a(v). Round q to the nearest 1000000.
-15000000
Let m = 57.8 + -57.7643. What is m rounded to 2 dps?
0.04
Let i = -76.4 - 269.6. Let w = 345.99437 + i. What is w rounded to three decimal places?
-0.006
Let y = 8 - 8.01. Let m = -1.79 + y. Let h = m - -0.3. What is h rounded to 1 dp?
-1.5
Let r = 9 - 5. Let y = -33 - -33. Suppose 564003 = -3*h - s, y*h - 375988 = 2*h - r*s. Round h to the nearest ten thousand.
-190000
Let z = 12.13 + -12. Let s = z + 11.87. Let g = s + -11.909. Round g to 2 decimal places.
0.09
Let i = -40.09 - -3.39. Let g = 34 + i. Let m = -3.8 - g. What is m rounded to zero decimal places?
-1
Let g = -38 - -63. Let y = -24.9999999 + g. What is y rounded to 7 dps?
0.0000001
Let m = -0.045 - 43.955. Let p = 44.000116 + m. What is p rounded to five dps?
0.00012
Let r = -2128.019 - -2129. Let j = r - 1.09. Round j to two decimal places.
-0.11
Let a(l) be the second derivative of l**4/6 + 13*l**3/6 - 5*l**2/2 + 11*l. Let u be a(-7). Suppose 0 = u*i + 2*i + 28000000. Round i to the nearest one million.
-7000000
Let j = 25339.0014651 - 25339. What is j rounded to 5 dps?
0.00147
Let x = 0.157065 + -0.157. What is x rounded to four decimal places?
0.0001
Let j = 10.86 - -94.74. Round j to the nearest 10.
110
Suppose 0*h + 335 = 5*c + 3*h, 0 = 2*c + 5*h - 134. Let t = c + -728. Round t to the nearest one hundred.
-700
Let f = 32120.875813 - 32122.39. Let o = f - -1.515. What is o rounded to four decimal places?
0.0008
Suppose -3*l - 78 = 3*o + 39, l - 5*o + 45 = 0. Let m be (-1)/((-116)/l - 3)*8. Round m to the nearest 10.
80
Let h = 0.16 + -63.16. Let a = 62.99985 + h. Round a to 4 dps.
-0.0002
Let y(l) = 16972*l**2 + 7*l + 1054*l**2 - 38 - 27 + 22. Let x be y(-9). What is x rounded to the nearest one million?
1000000
Let z = 0.1071 - 0.14535. | {
"pile_set_name": "DM Mathematics"
} |
easing order.
-1, 3, s, 356
Let f be 6/9 - (-8)/60. Let d = -7/15 + f. Sort 1, 1/10, d in decreasing order.
1, d, 1/10
Let n(j) = -j**3 + 26*j**2 + 58*j - 58. Let v be n(28). Sort v, 2, 4, -4.
-4, v, 2, 4
Let f(m) = m**3 - 2*m**2 - 3*m + 3. Let l be f(2). Let h = -2 - l. Let o(c) = 8*c**3 + c**2 - 4*c + 2. Let n be o(1). Put h, n, -3 in descending order.
n, h, -3
Let x(u) = -17*u - 118. Let g be x(-6). Sort 0, 4, g in ascending order.
g, 0, 4
Let q = -7228 - -7231. Let j = -0.6 + 0.1. Sort j, q, 1/8.
j, 1/8, q
Suppose 3*b + 18 = -2*s + 12, 0 = b - 5*s + 2. Put 1, b, -5, 7 in ascending order.
-5, b, 1, 7
Let d = 0.384 - 0.154. Let r = 0.726 + -4.496. Let p = r - d. Put 3, -5, p in increasing order.
-5, p, 3
Let v = -4/1215 - -17824/1215. Let b = 15 - v. Sort -5, -3/7, -1/8, b in ascending order.
-5, -3/7, -1/8, b
Suppose -4*b + 3*j = -19, -5*b + 4*b + 8 = -4*j. Let y be 5/2*b*(-5)/(-25). Let r = -0.8 - -0.5. Sort -3, y, r in increasing order.
-3, r, y
Let z = -3055 - -3055. Sort z, 8, 3, 2 in decreasing order.
8, 3, 2, z
Let b = 57.6 - 52. Let g = -5.5 + b. Let s = -11/12 - -2/3. Sort s, g, -3.
-3, s, g
Let i(b) = -b**2 + 5*b + 4. Let o be i(5). Suppose 156*y = 162*y + 24. Let r be ((-6)/y)/((-2)/o). Sort 2/15, 10, r in increasing order.
r, 2/15, 10
Let w be 125*5/150*2/(-5). Put -12, -2/11, w in descending order.
-2/11, w, -12
Let s(a) = a**2 + 17*a + 65. Let q be s(-5). Sort q, -1, 3 in ascending order.
-1, 3, q
Let l be ((-180)/(-4))/(-5) - -13. Put l, 31, 3, -4 in decreasing order.
31, l, 3, -4
Let f = 0.3 + -0.37. Let s = f - -5.07. Suppose 2 - 4 = -2*k. Put s, -1, k in descending order.
s, k, -1
Let l = 573 - 162. Put -3, l, 5 in increasing order.
-3, 5, l
Let z(j) = 3*j + 8. Let o be z(-3). Let f be 1 + o - 1 - (4 + -4). Sort 1, f, -0.1 in decreasing order.
1, -0.1, f
Suppose 2*s + 0*u = -2*u + 8, -8 = 3*s - u. Suppose 0 = -3*i - 3 - 6. Sort i, -1/2, s.
i, s, -1/2
Let t = -2345 - -2342. Put 82, 2, 1, t in decreasing order.
82, 2, 1, t
Let z = -635 - -632. Put -4, 3, -16, z in ascending order.
-16, -4, z, 3
Let n(j) = j**3 + 5*j**2 - 3. Let x be n(-5). Sort 16, 0, x in increasing order.
x, 0, 16
Suppose 0 = 4*m + 31*m - 1015. Sort 3, 8, m in descending order.
m, 8, 3
Suppose -3*p + 2*q + 73 = 19, 0 = 2*p - 2*q - 34. Suppose p*r - 5 = 25*r. Let j = 0 + 2. Sort j, r, 3 in decreasing order.
3, j, r
Let o(p) = -p**2 - 2*p - 1. Let i be o(-1). Sort i, 46, 5 in decreasing order.
46, 5, i
Let y = -10/21 - -59/168. Suppose 0 = 2*r + 3*r + 320. Let o = r + 131/2. Sort -1/10, y, o in decreasing order.
o, -1/10, y
Let t be ((-1)/(-1) - -1) + 1. Let u be ((-2)/6)/(2/30). Let d = -9 - u. Sort 4, d, t in increasing order.
d, t, 4
Let z = 7.6 + -4. Let j = 3.79 - z. Let g = j + -0.49. Sort 0.3, 3/7, g in increasing order.
g, 0.3, 3/7
Let j = -39 + 353/9. Sort -4/5, 2/3, j in decreasing order.
2/3, j, -4/5
Suppose -10*d + 6*d + 20 = 0. Let p = 20 - 20.5. Sort d, -2, p.
-2, p, d
Let w be 3 - (-21 - 9/3). Let d be 17 - (30/(-9) + 2/6). Let x = w - d. Put 3, -4, x in increasing order.
-4, 3, x
Let b(o) = 61*o + 2*o**3 - o**3 + 8 - 64*o + 4*o**2. Let r be b(-5). Put -3, 5, r in decreasing order.
5, r, -3
Let f = -793 - -794. Sort f, -5, 9 in decreasing order.
9, f, -5
Let k be 21/(-15) + 14/35. Suppose 2*w + 3 = -4*c - 17, 3*c - 4*w = -15. Let i be (-264)/(-110) - 3/c. Sort i, k, 0 in increasing order.
k, 0, i
Let l = 524 + -535. Put -5, l, -2, 0 in increasing order.
l, -5, -2, 0
Let i be 115 + -3 + 0 + 10. Put i, 2, 5 in decreasing order.
i, 5, 2
Let k = 38 - 33. Let o = k + -3.1. Let n = 1.7 - o. Put 2/9, n, -3 in decreasing order.
2/9, n, -3
Let g = 457 - 462. Sort 3, g, 5, 1 in descending order.
5, 3, 1, g
Let i = 0.3836 - -0.1164. Put 2/5, i, 1, -1 in decreasing order.
1, i, 2/5, -1
Suppose 0 = -11*j + j. Let s = -82 + 88. Sort -2, s, j in increasing order.
-2, j, s
Let c = 516 + -515. Put -5, -1/14, 0.4, c in decreasing order.
c, 0.4, -1/14, -5
Let s(k) = -23 + 0*k - 3*k - 5*k + 6*k. Suppose 199*n - 201*n - 28 = 0. Let y be s(n). Put -5, y, -3 in increasing order.
-5, -3, y
Let u = -8 + 11. Let q be -2 + (u - 2/(-1)). Suppose 31 - 1 = q*p. Put 5, 2, p in increasing order.
2, 5, p
Let s = 17/8 + -109/40. Suppose c + 2 = 6. Let l be c/(-14) - (-32)/63. Put -4, l, s in descending order.
l, s, -4
Let r = -30 - -32.7. Let v = r + -7.7. Let k = 26 + -26.3. Sort v, 4, k.
v, k, 4
Let f = 735 - 735.5. Put f, -8, 0.3, 0.04 in decreasing order.
0.3, 0.04, f, -8
Let j be (3 - 0 - 2) + 4 + 0. Sort 2, j, -3, 25.
-3, 2, j, 25
Let o be (-2)/((-1)/(1/2)). Let y = 114 - 114. Suppose -9*h - 54 = -y*h. Sort o, h, -1 in decreasing order.
o, -1, h
Let w be 342/5434 - 1/(-11). Let u = -0.03 + 3.03. Sort 0.1, -3, w, u in ascending order.
-3, 0.1, w, u
Let l = -19 + 12. Let u = -1.22 + -11.78. Let k = u - l. Put k, 5, -3/4 in decreasing order.
5, -3/4, k
Let c = 166 - 169. Suppose 3*s = 2*o + 10, 0*s = 5*o + s - 9. Put o, -4, c in descending order.
o, c, -4
Let m(q) = q**2 - 14*q + 27. Let g be m(12). Suppose 6 = -o + t, 3*t = -3*o - o - 17. Suppose -7*n - 20 = -12*n. Sort o, n, g in decreasing order.
n, g, o
Let n(o) = -o**3 + 10*o**2 - 8*o + 13. Let f be n(9). Let l be (-72)/(-33) - 4/f. Put -0.5, 0.2, l in increasing order.
-0.5, 0.2, l
Let d(j) = -j**3 + 9*j**2 - 12*j + 33. Let a be d(8). Put a, -2, -9, 5 in ascending order.
-9, -2, a, 5
Let h = -0.7 - 3.3. Let q = 20 - 21. Let v be 3 + 12/(-4) + 0. Sort v, h, q.
h, q, v
Let u(n) = -3*n**2 - 2*n - 14. Let p(b) = 5*b**2 + 5*b + 29. Let f(l) = -4*p(l) - 7*u(l). Let i be f(8). Put i, -0.1, 1/4, -1 in descending order.
1/4, -0.1, -1, i
Let m be (-10)/(-8)*24*(-42)/(-560). Put 0.3, -2, m in increasing order.
-2, 0.3, m
Let a = 30 + -57. Put -3, -5, a in decreasing order.
-3, -5, a
Let l = -38.82 - -39. Let t = -3.82 - l. Sort -0.2, t, -1 in decreasing order.
-0.2, -1, t
Let m = 147.9 - 148. Sort 1, 1/10, m in increasing order.
m, 1/10, 1
Let l(m) = -m**3 - 9*m**2 + 6. Let w be l(-6). Let h be (-3)/12 - w/(-16)*2. Sort 3, 2, h.
h, 2, 3
Let s be ((-21)/(-42))/((-2)/(-48)). Let n(y) = y**2 - 13*y + 12. Let u be n(s). Suppose 2*c + 14 + u = 0. Sort c, -5, -3 in decreasing order.
-3, -5, c
Let y be (-84)/14 - -2 - (-58)/16. Sort 18, 1, -4, y in decreasing order.
18, 1, y, -4
Let y be (-14)/(-60) + 4/(-10). Let g = 4.7 - 5.1. Sort g, y, 1 in increasing order.
g, y, 1
Let i = 934775 - 1965313/2. Let p = i - -4548686/95. Let r = 7/10 + p. Put -3/7, -0.2, r in ascending order.
-3/7, -0.2, r
Let x be (-6)/(-15) - 34/10. Let g(j) = -3*j**2 - 105*j + 2. Let m be g(-35). Put m, x, -2/11 in decreasing order.
m, -2/11, x
Suppose d - 21 = -11. Let v = -8 + d. Let p be v/18*6/(-4). Sort p, -4, 8 in ascending order.
-4, p, 8
Let n = -40 - -37. Let d = -16 + 15.6. Put -2/9, 7, n, d in decreasing order.
7, -2/9, d, n
Suppose -5*v - 2 = -4*v. Suppose 0 = -3*r + 2*t + t - 156, 4*r = 2*t - 212. Let j = r + 55. Put j, -4, v in increasing order.
-4, v, j
Suppose -3*m + 1 = h, -13*h + 5*m + 45 = -8*h. Put 4, h, -11 in increasing order.
-11, 4, h
Let j = -974 - -985. Sort j, 1, -25 in descending order.
j, 1, -25
Let i = -7 + 10. Suppose 2*j = 1 + i. Suppose -o - 8 = -4*z + j*o, -4*o = 0. Sort 5, 1, z in descending order.
5, z, 1
Let b(k) = -k**3 + 3*k - 6. Let w be b(-2). Sort -2, w, -16.
-16, w, -2
Let m be (43/129)/((-2)/(-60)*2). Suppose 3*p + 3*i + 57 = 0, 0*p + p = -4*i - 19. Sort 2, p, m.
p, 2, m
Let n = -76 + 123. Let m = -23 + n. Let v = -32 + m. Put -4, v, 4 in increasing order.
v, -4, 4
Suppose 98*y = 95*y - 15. Put y, 3, 4, -12 in ascending order.
-12, y, 3, 4
Let u = 35/51 - -5/34. Put -0.03, u, 0.4, -2 in decreasing order.
u, 0.4, -0.03, -2
Let s = 6.6 + 79.4. Let p = -82 + s. Sort -3/20, -1/6, p in ascending order.
-1/6, -3/20, p
Let i be 48/36*3/2. Suppose i*m - 26 = -2*v - 3*v, 4*v - 52 = -4*m. Sort -5, m, -2 in descending order.
m, -2, -5
Suppose 25 = 5*m, 3*m - 19 = -2*o - 0*m. Let l be (2/(-6))/(o*3/90). Sort -3, 3, l in descending order.
3, -3, l
Let s = 518 - 515. Put s, 0.11, 1 in descending order.
s, 1, 0.11
Let a = 810 + -815. Put 3, -100, a in decreasing order.
3, a, -100
Let h(f) = -2*f + 8. Let b be h(6). Let w be -1*1*(-6 - -2). Let g(j) = j + 10. Let a be g(-11). Sort b, a, w.
b, a, w
Suppose -4*q + 0*q - 2*j + 46 = 0, 0 | {
"pile_set_name": "DM Mathematics"
} |
t k be (-2)/13 - -2 - (-32)/208. Determine j so that -2/5*j**3 + 0 - 2/5*j**4 + 2/5*j + 2/5*j**k = 0.
-1, 0, 1
Let v(y) be the first derivative of y**3 + 3*y**2 - 24*y - 24. Solve v(f) = 0 for f.
-4, 2
What is z in 21*z - z**3 - 3*z**2 - 46*z + 23*z = 0?
-2, -1, 0
Let t(l) = -l - 2. Let s be t(-4). Factor -n**3 + n**3 - n**3 - n - 2*n**s.
-n*(n + 1)**2
Let l(s) be the third derivative of -s**7/525 + s**6/300 + s**5/150 - s**4/60 + 25*s**2. Factor l(h).
-2*h*(h - 1)**2*(h + 1)/5
Let o(j) be the third derivative of -1/210*j**7 + 0*j**3 - 1/672*j**8 - 1/240*j**6 + 2*j**2 + 0*j**5 + 0 + 0*j + 0*j**4. Factor o(l).
-l**3*(l + 1)**2/2
Let q(b) be the third derivative of b**7/105 - 7*b**6/180 - 17*b**5/270 - b**4/36 + 30*b**2. Find y, given that q(y) = 0.
-1/3, 0, 3
Factor 5*q**2 + 31 - 26 + 4*q + 6*q.
5*(q + 1)**2
Let k(d) = -d**2 + 8*d - 5. Let j = -7 - -14. Let y be k(j). What is o in 0 + 0*o + 0*o**y + 0*o**4 + 2/7*o**3 - 2/7*o**5 = 0?
-1, 0, 1
Let d = 604/5 - 120. Suppose 6/5*o + 2/5*o**2 + d = 0. Calculate o.
-2, -1
Suppose -3*j = -j, 3*s - 30 = -4*j. Suppose -4*z - p + 9 = -3*z, s = 5*z - 2*p. Suppose 3*q**3 + 1 - q**z - q**3 - 3*q + q = 0. What is q?
-1, 1
Let h(q) be the first derivative of q**2 + 0*q + 1/3*q**3 - 3. Factor h(w).
w*(w + 2)
Suppose -4*x + 13 = b, -5*x = 4*b - 9 - 21. Let j = 3 + x. Solve -2/3*u**2 + 2/3*u**3 - 2/3*u**j + 0 + 2/3*u**4 + 0*u = 0 for u.
-1, 0, 1
Suppose 0 = -4*v, -5*v + 15 - 7 = 4*x. Determine d, given that 2/3*d**x + 1/3*d + 0 = 0.
-1/2, 0
Let o = 2 + 0. Find k, given that 3*k**3 + 3*k**3 - 2*k**3 - 2*k**5 - o*k = 0.
-1, 0, 1
Solve c**2 + c**2 - c**2 + 5*c + 0*c**2 + 4 = 0.
-4, -1
Let c(y) be the first derivative of -y**4/8 + 5*y**3/3 - 25*y**2/4 + 8. Let c(u) = 0. Calculate u.
0, 5
Suppose -2*s + 2 = -4. Let c(y) be the first derivative of s - 5*y**3 + 7*y + 3*y**3 - y**2 - 3*y. Factor c(t).
-2*(t + 1)*(3*t - 2)
Suppose 2*j + 2*j + 4*l = 16, -j - 2*l = -5. Suppose 19 = j*t + 10. Factor -1/3*a**t + 0*a**2 + a - 2/3.
-(a - 1)**2*(a + 2)/3
Suppose h - 10 = -h. Suppose 0 = -h*b + 2*b + 12. Factor 0*i**3 + 0 - 2/7*i**5 + 2/7*i - 4/7*i**b + 4/7*i**2.
-2*i*(i - 1)*(i + 1)**3/7
Factor -5*o**2 + 4*o**3 - 2*o**2 - o**2 + 4*o.
4*o*(o - 1)**2
Let w(v) be the second derivative of 0*v**3 + 0 - 2*v + 1/12*v**4 - 1/2*v**2. Let y(m) = -6*m**2 + 4*m + 1. Let o(b) = -5*w(b) - y(b). Let o(g) = 0. What is g?
2
Factor -2/7*s**3 + 0*s + 0 + 0*s**2 - 2/7*s**4.
-2*s**3*(s + 1)/7
Let d(v) be the second derivative of -v**4/42 - v**3/21 - 22*v. Find g such that d(g) = 0.
-1, 0
Let m(d) be the first derivative of 3/8*d**2 - 1/16*d**4 + 0*d**3 - 4 + 1/2*d. Factor m(q).
-(q - 2)*(q + 1)**2/4
Let b(z) = z**3 + z. Let l(y) = 12*y**4 - y**3 - 12*y**2 - 9*y. Let q(x) = 5*b(x) + l(x). Let q(t) = 0. What is t?
-1, -1/3, 0, 1
Let g(v) be the second derivative of v**5/15 + v**4/12 - v**3/3 + v**2 + v. Let s(u) be the first derivative of g(u). Suppose s(b) = 0. Calculate b.
-1, 1/2
Let f(g) = -g - 5. Let c be f(-5). Suppose p - 4*p + 12 = c. Find b, given that b**p + 4 - 4 = 0.
0
Let p(j) be the third derivative of j**6/480 + j**5/80 + j**4/48 + 8*j**2. Factor p(v).
v*(v + 1)*(v + 2)/4
Suppose -z + 5*z = -3*q - 27, -3*z - 14 = q. Let l = q + 5. Suppose 1/3*i**3 + l + 1/3*i**4 - 1/3*i - 1/3*i**2 = 0. Calculate i.
-1, 0, 1
Let j(p) be the first derivative of p**6/120 - p**5/20 + p**4/12 - 2*p**2 + 5. Let z(o) be the second derivative of j(o). Find v, given that z(v) = 0.
0, 1, 2
Let k = -485/3 - -162. Factor 0 + k*n**2 + 0*n.
n**2/3
Let s = 14 + -12. Let q**2 - 2*q**s - 4*q - 4 + 0*q**2 = 0. Calculate q.
-2
Let i(m) be the second derivative of 2*m + 0*m**2 + 1/5*m**5 + 0 + 2*m**4 + 6*m**3. Determine n, given that i(n) = 0.
-3, 0
Let v(q) = -11*q**4 - 21*q**3 - 4*q**2 + 6*q - 6. Let x(o) = 65*o**4 + 125*o**3 + 25*o**2 - 35*o + 35. Let t(p) = 35*v(p) + 6*x(p). Factor t(c).
5*c**2*(c + 1)*(c + 2)
Let f(u) be the second derivative of 0 + 0*u**2 + 1/36*u**4 + 3*u - 1/18*u**3. Factor f(a).
a*(a - 1)/3
Let v = -1103 + 1103. Factor 1/5*o**5 + v*o**2 + 0 + 0*o + 1/5*o**3 - 2/5*o**4.
o**3*(o - 1)**2/5
Let f(n) = -4 - n + 4*n + 12 - 4*n. Let z be f(6). Determine j, given that 8/3*j**5 + 0*j + 40/3*j**3 + 20/3*j**z + 10*j**4 - 2/3 = 0.
-1, 1/4
Let b(u) be the third derivative of 2*u**7/105 - u**6/30 - u**5/15 + u**4/6 - 13*u**2. Factor b(c).
4*c*(c - 1)**2*(c + 1)
Let t(s) be the second derivative of -s**4/32 - 5*s**3/16 - 9*s**2/8 + 18*s. Factor t(x).
-3*(x + 2)*(x + 3)/8
Let u = -119/24 - -45/8. Find z, given that u*z**3 + 6/5*z + 4/15 + 8/5*z**2 = 0.
-1, -2/5
Let y(q) be the second derivative of q**5/5 + q**4/3 - 2*q**3/3 - 2*q**2 + 7*q. Suppose y(l) = 0. Calculate l.
-1, 1
Solve -1 - 6*s - 11/4*s**2 = 0.
-2, -2/11
Let s(i) be the third derivative of 1/420*i**5 + 0 + 1/840*i**6 + 0*i + 10*i**2 + 0*i**3 + 0*i**4. Solve s(a) = 0.
-1, 0
Let l = 109 + -219. Let f be (-5)/(l/(-62)) + 3. What is s in 0 - 2/11*s**2 + 4/11*s**3 - f*s**4 + 0*s = 0?
0, 1
Let r be 2/(-8)*(-7)/(14/30). Factor r*i + 1/2 + 11/2*i**2.
(2*i + 1)*(11*i + 2)/4
Let f(s) = 3*s - 6. Let w be f(4). Let i be 2/w + 6/(-126). Factor i + 0*p - 2/7*p**2.
-2*(p - 1)*(p + 1)/7
Let d be (-3)/((-2)/17 + 729/(-306)). Factor 8/5*f + 0 + d*f**3 + 12/5*f**2 + 1/5*f**4.
f*(f + 2)**3/5
Let d(r) be the second derivative of -3*r**5/20 - r**4/2 - r**3/2 - 3*r. Solve d(n) = 0.
-1, 0
Suppose -5*q + 2*q = -6. Factor -2*i + 0*i**2 - 3*i**2 - 3*i**q + 5*i**2.
-i*(i + 2)
Let i(y) be the second derivative of 0 - 1/18*y**4 - y - 1/135*y**6 + 0*y**2 - 1/30*y**5 - 1/27*y**3. Suppose i(c) = 0. Calculate c.
-1, 0
Let n(d) be the second derivative of d**7/14 + 3*d**6/5 + 27*d**5/20 - d**4 - 6*d**3 + 12*d. Factor n(q).
3*q*(q - 1)*(q + 2)**2*(q + 3)
Let r(m) be the second derivative of -m**5/60 + m**4/12 - m**3/6 + 5*m**2/2 + 3*m. Let k(c) be the first derivative of r(c). Factor k(w).
-(w - 1)**2
Let s(r) be the first derivative of 2/5*r**2 - 1 - 1/15*r**3 - 4/5*r. Factor s(a).
-(a - 2)**2/5
Let k(q) = -2*q - 3 - 2 + 6 - 2. Let d be k(-2). Factor -2*v**4 - 4*v**d - v**3 - 6*v**2 - 2*v + 0*v**4 - v**3.
-2*v*(v + 1)**3
Factor -2/19*j - 6/19*j**3 - 10/19*j**2 + 2/19.
-2*(j + 1)**2*(3*j - 1)/19
Let f(m) = 171*m**3 - 60*m**2 - 171*m + 60. Let j(s) = 17*s**3 - 6*s**2 - 17*s + 6. Let q(v) = 2*f(v) - 21*j(v). Solve q(i) = 0.
-1, 2/5, 1
Let 2 - 8/3*i + 2/3*i**2 = 0. Calculate i.
1, 3
Let j(o) = -o**2 + 11*o - 9. Let p be j(10). Let c be 0/(-3 + p + 0). Solve 2/9*d**2 + 0*d + c = 0.
0
Let u(v) = 9*v**2 - 144*v - 216. Let c(o) = -o**2 + 18*o + 27. Let a = -25 - -58. Let z(d) = a*c(d) + 4*u(d). Factor z(l).
3*(l + 3)**2
Let k(q) be the first derivative of -3*q**4/4 - 3*q**3 + 6*q**2 - 7. Factor k(v).
-3*v*(v - 1)*(v + 4)
Suppose 3*j + 5*v = 0, 0 = 5*j + v - 3*v. Suppose o - 3*o = j. Let o*k**4 - 1 - 2*k**2 + 4*k**2 - k**4 = 0. What is k?
-1, 1
Let c(j) be the third derivative of j**5/120 + 13*j**2. Suppose c(p) = 0. What is p?
0
Suppose -z = -1 - 1. Let j be (0 + 1)/((-2)/(-6)). Factor -4*q**2 + 2*q**2 + q**4 + 2*q**5 + q**z + q**3 - j*q**5.
-q**2*(q - 1)**2*(q + 1)
Let x(y) be the first derivative of 3 - 3/5*y + 0*y**2 + 1/5*y**3. Let x(f) = 0. Calculate f.
-1, 1
Solve 26*m**3 - 36*m**4 + 5*m**2 + 21*m**5 + 32*m**3 - 49*m**3 + m**2 = 0 for m.
-2/7, 0, 1
Let c = 3/2 - 7/6. Let v = 38/141 + 3/47. Factor c + v*l**2 + 2/3*l.
(l + 1)**2/3
Let k = -68 + 70. Factor -6/11 + 12/11*f**3 - 24/11*f**k - 2/11*f**4 + 20/11*f.
-2*(f - 3)*(f - 1)**3/11
Let q(i) be the second derivative of 1/4*i**4 + 3*i + 0*i**2 - 1/10*i**6 - 1/10*i**5 + 1/3*i**3 + 0. Factor q(a).
-a*(a - 1)*(a + 1)*(3*a + 2)
Factor 4*z**2 + 4/3*z**3 - 4 - 4/3*z.
4*(z - 1)*(z + 1)*(z + 3)/3
Let p = 45552/5 + -9167. Let o = p - -57. Factor 0 - o*f**4 - 2/5*f + 2/5*f**3 + 2/5*f**2.
-2*f*(f - 1)**2*(f + 1)/5
Factor 0*o - 2/7*o**5 + 10/7*o**4 - 2*o**3 + 0 + 6/7*o**2.
-2*o**2*(o - 3)*(o - 1)**2/7
Let m(y) be the third derivative of y**7/35 - 11*y**6/40 - y**5 - 7*y**4/8 - 16*y**2 + y. Factor m(p).
3*p*(p - 7)*(p + 1)*(2*p + 1)
Suppose -7 - 1 = -4*o. Let p = 2 + o. Factor -4*y**3 + 3*y**3 - 1 - y**3 + y**p + 2*y.
(y - 1)**3*(y + 1)
Find k, given that -k**2 + 6*k**4 + k**5 + 0*k**5 - 2*k**4 + 3*k**2 + 5*k**3 = 0.
-2, -1, 0
Let r(c) be the first derivative of 2*c**5 - 2*c**4 - 2*c**3/3 - 15. F | {
"pile_set_name": "DM Mathematics"
} |
. Determine m(q(y)).
28*y**2
Let n(d) = 2*d - 4*d - 5*d + d. Let g(j) be the first derivative of 2*j**3/3 - 2. What is n(g(z))?
-12*z**2
Let t(s) = 4*s + 9. Let f(u) = -u - 2. Let c(o) = 9*f(o) + 2*t(o). Let i(z) be the first derivative of z**3 + 5. Determine c(i(n)).
-3*n**2
Let p(m) = 128*m. Let k(t) = -4*t**2 + 4. What is k(p(z))?
-65536*z**2 + 4
Let x(m) be the first derivative of 2*m**3/3 + 2. Suppose 0 = -i + 2. Let k(r) = i*r**2 - 2*r**2 - 2*r**2. Calculate x(k(w)).
8*w**4
Let p(s) = 2*s. Let x(f) = -4*f**2 + 4. Let t be (4 + -2 + 0)/2. Let n(y) = 2 - 2 + 0 + 1. Let h(k) = t*x(k) - 4*n(k). Determine p(h(g)).
-8*g**2
Let c(k) = 3*k**2. Let r(h) be the third derivative of h**5/15 - 11*h**2. What is c(r(j))?
48*j**4
Let s(f) be the second derivative of f**3/6 - 10*f. Let y(b) = -52*b. Determine s(y(d)).
-52*d
Let g(x) = -10*x**2. Let n(a) = -23*a. Give n(g(l)).
230*l**2
Let u(f) = -2*f. Let d(a) be the third derivative of -a**4/24 + 3*a**2. Calculate u(d(m)).
2*m
Let d(b) = 4*b**2. Let f be (4/(-3))/((-6)/9). Let q(p) = 2 - 1 - 1 - 2*p**f. Determine d(q(c)).
16*c**4
Let y(j) be the first derivative of 5*j**3/3 + 7. Let k(v) = v**2. Determine k(y(h)).
25*h**4
Let p(n) be the first derivative of 44*n**3 + 3 - 42*n**3 + 2. Let o(k) = 2*k. What is o(p(j))?
12*j**2
Let w(r) = -15*r. Let y(i) be the second derivative of -i**4/6 + 7*i. Calculate y(w(t)).
-450*t**2
Let p(h) = 4*h. Let x(z) = -68*z. Calculate x(p(r)).
-272*r
Let q be (18/15)/((-15)/(-50)). Let w be (-2 + (-4)/(-2))/2. Let g(y) = w + 0 - q*y**2. Let b(h) = -h. Determine b(g(d)).
4*d**2
Let w(k) = -k**2. Suppose -2*j + 7 = -1. Let q(c) = -j + 4 + c**2 + c. Let y(t) = -8*t**2 - 7*t. Let v(a) = 21*q(a) + 3*y(a). What is v(w(u))?
-3*u**4
Let f(k) = -3*k. Let s(q) be the third derivative of -q**4/6 - 3*q**2. Determine f(s(u)).
12*u
Let s(f) = -56*f**2. Let r(a) = -16*a. Calculate s(r(x)).
-14336*x**2
Let i(n) = 3*n + 8. Let h(v) = -v - 3. Let o(z) = -8*h(z) - 3*i(z). Let c(g) = -8*g. Give o(c(s)).
8*s
Let x(m) = m**2. Let w(i) = -7*i**2. Let v(g) = -w(g) - 4*x(g). Let j(p) = 2*p. Calculate v(j(f)).
12*f**2
Let n(w) = 14*w - 1. Let z(q) = -q**2. Give n(z(l)).
-14*l**2 - 1
Let g(j) = -2*j - 9. Let u(k) be the second derivative of k**4/4 + 12*k. Give g(u(z)).
-6*z**2 - 9
Suppose -3*x = -42 + 12. Suppose -a + 2 = -y - 5, 2*y = a - x. Let f(n) = -5*n + a*n - n. Let q(k) = 2*k. Calculate q(f(w)).
-4*w
Let p(m) = -5*m**2. Let z(i) = 8*i + 2*i - 8*i. Calculate z(p(w)).
-10*w**2
Let b(u) = -38*u**2. Let h(a) = -4*a - 5. Calculate h(b(y)).
152*y**2 - 5
Let w(b) be the first derivative of 2*b**3/3 + 5*b**2 + 31. Let t(p) = 2*p**2. What is t(w(g))?
8*g**4 + 80*g**3 + 200*g**2
Let d(n) be the third derivative of -7*n**5/60 + 5*n**2. Let a(w) = 2*w. What is d(a(o))?
-28*o**2
Let y(j) = 5*j. Let p(a) be the third derivative of a**6/360 + 4*a**3/3 - 5*a**2. Let g(u) be the first derivative of p(u). Calculate y(g(s)).
5*s**2
Suppose -u + 15 = -l, -2*u - 2*l + 27 = -3. Let n(s) = -u + 15 + s**2. Let q(c) be the third derivative of -c**5/60 + 2*c**2. Calculate n(q(v)).
v**4
Let u(h) = -58*h**2. Let g(o) = 2*o**2. Determine g(u(r)).
6728*r**4
Let h(u) = 3*u. Let l(j) = -j - 1. Let d be l(-3). Let g(o) = d*o - o - 3*o. What is g(h(i))?
-6*i
Let s(u) = u**2. Let c(z) be the second derivative of -3*z**3/2 + 9*z. Determine c(s(w)).
-9*w**2
Let s(j) = 4*j**2. Let q(w) = 41*w. Calculate q(s(o)).
164*o**2
Let g(z) = -16*z. Let n(h) = -5*h - h + 5*h. Determine g(n(x)).
16*x
Let z(m) = -3*m**2. Let i(x) be the second derivative of -x**4/6 - 12*x. Give i(z(f)).
-18*f**4
Let u(g) = 4*g. Let k(b) = -b + 17. Let l be k(12). Suppose h - 25 = -2*h + l*a, a + 5 = -4*h. Let n(m) = h*m**2 + 2*m - m**2 - 2*m. Calculate n(u(c)).
-16*c**2
Let x(a) = -a**2 - 7*a - 4. Let r be x(-6). Let n(g) = -5*g**2 + 2*g**2 + 0*g**r + 0*g**2. Let w(p) = -p**2. Give w(n(l)).
-9*l**4
Let d(h) = -6*h + 5. Let j(v) be the third derivative of 3*v**4/8 - 4*v**3/3 - v**2. Let m(q) = 8*d(q) + 5*j(q). Let y(f) = -f**2. Determine m(y(i)).
3*i**2
Let h(v) = 2*v**2 + 7*v. Let p(b) = 15 - 3*b - 15 - b**2. Let s(a) = -3*h(a) - 7*p(a). Let j(o) = 4*o**2. What is s(j(l))?
16*l**4
Let y(z) = 2*z. Let j(s) = -6*s. Let o(p) = -6*j(p) - 17*y(p). Let d(g) = 13*g**2. Calculate d(o(b)).
52*b**2
Let x(p) = 9*p. Let y(u) be the first derivative of -2*u**3/3 - 3. Give y(x(z)).
-162*z**2
Let l(d) = d**2. Let t = -5 - -9. Let w(a) = 10*a - 2*a - t*a. Calculate w(l(f)).
4*f**2
Let z(r) = -4*r + 3. Let x be -2 + 2 + (-3)/1. Let n(i) = -5*i + 4. Let u(h) = x*n(h) + 4*z(h). Let j(d) = -6*d. What is u(j(y))?
6*y
Let u(v) = -v. Suppose 0*l - 5 = -l. Let k(w) = w + 5. Let c(f) = f + 4. Let g(i) = l*c(i) - 4*k(i). Calculate g(u(y)).
-y
Let x(h) be the first derivative of -3*h**2/2 - 10. Let a(k) be the third derivative of k**5/30 + k**2. Calculate a(x(y)).
18*y**2
Let w(t) = 3*t**2. Let l(p) be the second derivative of p**3/6 - 2*p. Determine w(l(g)).
3*g**2
Let y(i) be the third derivative of -5*i**4/8 - 16*i**2. Let f(h) = 3*h. Give f(y(q)).
-45*q
Let q(r) = -3 + 3 + 18*r**2 - 16*r**2. Let c(w) = -154*w**2. Calculate q(c(h)).
47432*h**4
Let d(x) = 4*x + 3*x**2 - 3*x - x. Let k(f) be the first derivative of -3*f**2 - 3. Determine k(d(o)).
-18*o**2
Let q(b) = -3*b - 15. Let t(z) = z + 4. Let i be (-39)/3 - (2 - 0). Let a(u) = i*t(u) - 4*q(u). Let j(o) = -2*o**2. Determine j(a(k)).
-18*k**2
Let a(c) be the first derivative of 7*c**2/2 - 4. Let i(v) = -2*v**2. Determine a(i(x)).
-14*x**2
Let g(w) = 0 + 0 + 4*w - 2*w. Let u(m) = 2*m**2 - 17. What is g(u(o))?
4*o**2 - 34
Let r(c) = c + 4*c + c - 2*c. Let n(b) be the second derivative of b**7/1260 + b**4/6 - b. Let v(u) be the third derivative of n(u). What is r(v(d))?
8*d**2
Let t(k) = -41 + 41 + 5*k**2. Let g(s) = -2*s**2. Calculate t(g(p)).
20*p**4
Let x(a) = -5*a**2 - a**2 + 4*a**2. Let o(t) be the third derivative of -t**5/120 - t**3/3 - 2*t**2. Let i(w) be the first derivative of o(w). Give x(i(q)).
-2*q**2
Let n(f) = 4*f**2. Let v(k) be the first derivative of 4*k**3/3 - 11. Calculate n(v(y)).
64*y**4
Let x(k) = 5*k. Let f(v) = -9*v. Determine x(f(p)).
-45*p
Let o(t) = -7*t**2 + 5*t - 5. Let l(b) = 4*b**2 - 3*b + 3. Let u(c) = -5*l(c) - 3*o(c). Let q(j) = -j + 5*j + 99 - 99. What is u(q(h))?
16*h**2
Let r(g) = -21*g. Let x(f) = 4*f**2 - 2*f. Give r(x(t)).
-84*t**2 + 42*t
Let w(r) = r - 1. Let o(b) = -4*b + 2. Let l(c) = -o(c) - 2*w(c). Let t(p) = 0*p**2 + 3*p**2 + 3*p**2. Calculate l(t(h)).
12*h**2
Let z(c) = -386*c. Let n(j) = 6*j. What is z(n(f))?
-2316*f
Let o(u) = u**2. Let g(l) = 19*l**2. Calculate g(o(w)).
19*w**4
Let o(q) = 2 - 2 + 125*q - 139*q. Let k(b) = b. Give k(o(y)).
-14*y
Let u(r) = 4*r**2 - 16*r. Let i(w) = w**2. Calculate i(u(t)).
16*t**4 - 128*t**3 + 256*t**2
Let d(k) = -2*k. Let p(l) be the third derivative of 17*l**4/6 - 42*l**2. Determine p(d(y)).
-136*y
Let s(i) = -5*i. Let t(q) = 1 + 0 + 0 - 3. Let u(l) = -l - 1. Let k(g) = -t(g) + 2*u(g). Determine k(s(f)).
10*f
Let c(f) = -f**3 - 13*f**2 - 13*f - 13. Let n be c(-12). Let w(d) = 1. Let k(u) = -u + 1. Let h(i) = n*w(i) + k(i). Let x(p) = -p. Determine h(x(v)).
v
Let v(q) = -3*q**2 + 0*q**2 + 0*q**2. Let u(z) = 4*z + 3. Let m(a) = -5 + 1 - 7*a + 1 - 2. Let f(b) = 3*m(b) + 5*u(b). Determine v(f(h)).
-3*h**2
Let i(d) = -8*d. Let f be i(-2). Let q(v) = f + v**2 - 16. Let h(z) = -4*z + 11. Let t(m) = -2*m + 6. Let k(c) = -6*h(c) + 11*t(c). Determine q(k(b)).
4*b**2
Let u(x) be the second derivative of x**3/6 + 3*x. Let w(y) = -21*y**2. What is u(w(k))?
-21*k**2
Let r(w) = w. Let q(v) = v - 9228. Give r(q(d)).
d - 9228
Let t(x) be the second derivative of x**4/6 - 10*x. Let r(g) = -10*g. Determine t(r(y)).
200*y**2
Let d(l) = 3*l + 4. Let i(p) = p + 1. Let h(y) = -3*d(y) + 12*i(y). Let k(s) be the first derivative of 0*s**2 + 1/3*s**3 + 0*s + 3. Give k(h(n)).
9*n**2
Let a(f) = 3*f**2. Let z(t) = -t. Let k = -15 + 9. Let i(v) = -7*v. Let q(g) = k*z(g) + i(g). Calculate q(a(n)).
-3*n**2
Let g(q) be the second derivative of -q**5/40 + q**3/2 + 3*q. Let l(b) be the second derivative of g(b). Let v(d) = -5*d**2 + d**2 + 2*d**2. Calculate l(v(w)).
6*w**2
Let b(m) = -m**2 + 5*m. Let o(s) = s**2 - 6*s. Let x = -4 + -1. Let q(u) = x*o(u) - 6*b(u). Let z(c) = -2 + | {
"pile_set_name": "DM Mathematics"
} |
5)/(-52)*(15 + -3)?
13
What is the remainder when 341 is divided by (-10)/15*171/(-2)?
56
Suppose -w + 37 + 47 = 0. Suppose w = 3*c + 27. What is the remainder when c is divided by 7?
5
Let w = -53 - -145. Let s = 117 - w. Calculate the remainder when s is divided by 2.
1
Suppose 5*k + 3*a = 380, -6*a = -4*a. What is the remainder when k is divided by 16?
12
Let b = 186 - 105. What is the remainder when b is divided by 18?
9
Let y(x) = 22*x + 9. Let o be y(5). Suppose o = 5*c - 81. What is the remainder when 158 - (0 - 1 - -1) is divided by c?
38
What is the remainder when 1059 is divided by (-7)/(-7)*70 + -11?
56
Let f(m) = -m + 45. Let o = 46 - -5. Suppose 0 = -3*l - 15 + o. What is the remainder when f(0) is divided by l?
9
Let c = 6 + -3. Suppose 0 = c*p - s - 35, 6*s = 5*p + s - 45. What is the remainder when 50 is divided by (4/(-2))/((-2)/p)?
11
Suppose -119*j = -115*j - 528. Calculate the remainder when j is divided by 14.
6
Let y = -101 + 31. Let r = y - -114. Suppose 0 = -4*k - 3*l + 641, -2*l + 120 + r = k. Calculate the remainder when k is divided by 40.
38
Suppose -3*z - 5*h = -6, -4*z + 4*h + 26 = -2*z. Let x(w) = w**2 - 4*w + 5. Let p(f) = 51*f - 383. Calculate the remainder when p(9) is divided by x(z).
24
What is the remainder when 134 is divided by 92/(((-16)/24)/((-1)/3))?
42
Let n(z) = -785*z - 7053. Calculate the remainder when (-2)/9 - 182/(-9) is divided by n(-9).
8
What is the remainder when 86 is divided by (-1)/((-4)/(-66)*(-18)/36)?
20
Let t(w) = -w**2 + 3*w + 12. Suppose 6*c - 5*n - 20 = c, 2*c + 4*n = -10. Let u be 15*(-4)/(-12)*c. What is the remainder when t(u) is divided by 2?
0
Let k be 3 - 3 - (3 + -15). Let r(z) = -z**3 + 12*z**2 + z - 7. Calculate the remainder when 14 is divided by r(k).
4
Suppose 5*a - 74 - 31 = 0. Let f = a + -14. Calculate the remainder when 372/14 - (-7 + 230/35) is divided by f.
6
Suppose 11*z + 136 = 708. What is the remainder when 256 is divided by z?
48
Let m(y) = -y**3 + 3*y**2 + 6*y + 7. Let b be m(5). Let x = 21 + b. What is the remainder when x is divided by (-33)/(-7) + (-8)/(-28)?
3
Suppose -v - 3*c = -61, -5*v + 292 = -c + 3*c. Suppose 0 = 5*m + 57 + 38. Let o = m - -34. Calculate the remainder when v is divided by o.
13
Let c = 623 + -339. Calculate the remainder when c is divided by 89.
17
Let a(u) = -u**3 - 5*u**2 + 8*u. Let w be a(-6). Let f(o) = -3*o**3 + 2 - 13*o + 4*o**3 + 11*o**2 - 3. Calculate the remainder when 32 is divided by f(w).
10
Let c be -9 - 122 - (0 - -2). Let f = c - -204. Suppose -9*h + 6*h + 54 = 0. What is the remainder when f is divided by h?
17
Let s = 137 + -51. Calculate the remainder when s is divided by 20.
6
Suppose -5*c = -2*c - 21. Let o(l) = -l**3 - 8*l**2 + 7*l + 59. Calculate the remainder when c is divided by o(-8).
1
Let w = 1434 - 1401. Calculate the remainder when 121 is divided by w.
22
Suppose 0 = -6*n + 403 - 61. What is the remainder when 512 is divided by n?
56
Let v(z) = z**2 + 6. Suppose 12 = u - 0*u. Suppose u*q - 15*q = -66. What is the remainder when v(9) is divided by q?
21
Let j(b) = -b + 8. Suppose 1 = 3*l + 4. Let x be (-5 - l)*20/(-16). Calculate the remainder when 11 is divided by j(x).
2
Let o = -132 - -146. Suppose 1 = y - 39. Calculate the remainder when y is divided by o.
12
Let v(q) = -44*q + 2. Suppose 10 = 5*p - 0. Calculate the remainder when v(-1) is divided by p/(3/(-102)*-4).
12
Suppose -l + 423 = 2*l. Calculate the remainder when -1*5/((-15)/l) is divided by 12.
11
Suppose 6*v = 2*x + v - 173, 5*v + 470 = 5*x. What is the remainder when x is divided by 6?
3
Let a(f) = -f**2 + f - 1. Let h be a(2). Let s(q) = q**2 - 42*q - 833. Calculate the remainder when 6/(-5)*160/h is divided by s(-15).
20
Let n = 123 - 107. Suppose 31 - n = 3*f. Calculate the remainder when (-1)/3 - (-110)/6 is divided by f.
3
Suppose 3*u + 3*w - 7 = 5, -4*u + 19 = w. Let h(n) be the first derivative of 2*n**3/3 - 2*n**2 - 12*n - 30. Calculate the remainder when h(-3) is divided by u.
3
Let r(n) = n - 8. Let l be r(12). Suppose -20 = -l*m, 4*g + m - 183 = 2*g. What is the remainder when g is divided by 13?
11
Let z(f) = -f**2 - 4*f + 3. Let x be z(-4). Suppose -3*p + 96 = -3*m, m + x = -0*m. Calculate the remainder when p is divided by (-1 - 2)/(-6) - 696/(-48).
14
Suppose 207 = 9*p - 0*p. Calculate the remainder when p is divided by 9.
5
Calculate the remainder when (-15)/45*(1 - 7) + 113 is divided by 9.
7
Let p be ((-21)/(-9))/(2/(-6)). Let r(t) = -t**3 - 5*t**2 + 10*t + 11. Calculate the remainder when r(p) is divided by 15.
9
Let k = 0 - 8. Let b(x) = -x**3 - 7*x**2 - 7*x - 7. Suppose -122 = -5*i + 2*j + 27, -i = -5*j - 39. Calculate the remainder when b(k) is divided by i.
26
Let r = 775 - 573. Calculate the remainder when 405 is divided by r.
1
Let d(n) = 0*n**2 + 11 - 9*n - 13 - 3*n**2. Let q(f) = 7*f**2 + 18*f + 4. Let w(m) = 5*d(m) + 2*q(m). What is the remainder when w(-8) is divided by 5?
1
Let p = 8 + -7. Let y = p - -1. Suppose 4*j = -3*d + 10, 0 = 5*j - 3*d + 1. What is the remainder when y is divided by j?
0
Let v = -367 + 402. Calculate the remainder when 170 is divided by v.
30
Let h be 27/15 + 6/30. Suppose 0*f + h*f - 100 = 0. Let s = -34 + f. What is the remainder when 61 is divided by s?
13
Let c = -41 + 39. What is the remainder when 47 - c/(-6)*-3 is divided by 10?
8
Suppose -k + 0*z + 3*z + 15 = 0, 0 = -2*z - 8. Suppose -93 + 15 = k*d. Calculate the remainder when (-2 + 1)*(d - 7) is divided by 17.
16
Suppose -630*k = -628*k - 230. Calculate the remainder when k is divided by 20.
15
Suppose 0 = -15*s - 284 - 316. What is the remainder when 380/32 + (-5)/s is divided by 8?
4
Suppose -3*o = -4*f - 8, -o = 2*f - 7*f + 1. Calculate the remainder when 77 is divided by (2 - 2/6)/(o/48).
17
Suppose -176 = -7*h - 15*h. What is the remainder when (-108)/(-7) - (-6)/(-14) is divided by h?
7
Let b(g) = g - 1. Let z be b(5). Suppose 5 = 5*y + 5*w, w = -z*y - 4*w + 5. Suppose -u + 12 = -y*u. What is the remainder when 58 is divided by u?
10
Suppose -417 = -9*v + 276. Suppose -72*c + v*c = 110. Suppose 9 = -3*u + 4*u. What is the remainder when c is divided by u?
4
Suppose 2*q = 7*q - 55. Suppose q*v - 3*v = 80. Calculate the remainder when v is divided by 4.
2
Let y be 3265/4 - (-4)/(-16). Suppose 0*c - 5*p = 3*c + y, 2*c + 2*p = -544. Calculate the remainder when ((-15)/10)/(12/c) is divided by 9.
7
Let g(j) = 2*j**3 + 17*j**2 + 13*j + 55. Calculate the remainder when 16 is divided by g(-8).
1
Suppose -3*g - o + 311 = -0*g, -2*o - 398 = -4*g. Suppose 5*d = 7*d - g. Calculate the remainder when d is divided by 13.
12
Suppose 5*g - 484 = -0*g + 4*x, -1 = x. What is the remainder when g is divided by 25?
21
Let u(w) be the second derivative of 1/6*w**4 + 5/2*w**2 + 0 - 5*w + 7/6*w**3. What is the remainder when 16 is divided by u(-4)?
7
Suppose -145*u + 163*u = 2322. What is the remainder when u is divided by 24?
9
Let h be 9/((27/(-6))/(-9)). Suppose -5*r - h = -d, -2*r = -5*d + r + 68. Calculate the remainder when 24 is divided by d.
11
Let l = -3460 + 3493. Suppose -2*g + 518 = -0*r + 4*r, 4*r = -5*g + 509. What is the remainder when r is divided by l?
32
Suppose -42*l = -60*l - 90. Let g(r) = -4*r**3 - 2*r**2 + r. What is the remainder when g(-2) is divided by l*5/(-125) + (-59)/(-5)?
10
Let j be 14/4*(6 + 112/7). Suppose j = 8*a + 21. Calculate the remainder when a is divided by 3.
1
Let m(i) = -49 + 48*i + 104 - 45. Suppose u + 8 = 47. What is the remainder when m(3) is divided by u?
37
Suppose 10*f - 19 = 1. Suppose -4*r - 16 = 0, f*r + 388 = 7*c - 2*c. What is the remainder when c is divided by 26?
24
Suppose -5*w + 2*f = -515, -w - f + 5*f = -103. What is the remainder when w is divided by 21?
19
Let z(m) = -15*m + 223. What is the remainder when z(6) is divided by 20?
13
Let y = 83 - 61. What is the remainder when 80 is divided by y?
14
Let w(s) = -s**2 - 6*s + 7. Let z be w(-7). Suppose c - 2 = -2*u, 2*u + 34 = -z*c + 5*c. Calculate the remainder when 212/c - (-3)/(-9) is divided by 12.
11
Let q = -322 + 331. Calculate the remainder when 45 is divided by q.
0
Suppose -3*p - 15 = 3*n, -5*n = -4*n + 5. Calculate the remainder when -1 - (8/2 + p + -87) is divided by 12.
10
Let w(p) = 2*p**2 - 37*p + 21. Suppose 2 = | {
"pile_set_name": "DM Mathematics"
} |
173/42 and 34/1267.
7602
Find the common denominator of -71/162558 and 37/162558.
162558
Calculate the common denominator of -19/36 and 21/33352.
300168
Find the common denominator of 29/6 and 81/7366.
22098
What is the lowest common multiple of 3804 and 786?
498324
What is the lowest common multiple of 32620 and 1078?
2511740
Calculate the common denominator of 3/251944 and -119/53988.
755832
What is the common denominator of 137/120 and -85/12528?
62640
What is the lowest common multiple of 4 and 291968?
291968
What is the least common multiple of 39566 and 292?
79132
Calculate the common denominator of 85/36 and 167/4320.
4320
Calculate the common denominator of 79/33900 and 41/516975.
2067900
What is the smallest common multiple of 10 and 9486?
47430
What is the smallest common multiple of 132 and 234?
5148
What is the least common multiple of 108 and 25908?
233172
Calculate the least common multiple of 654 and 87636.
87636
What is the common denominator of -68/605397 and 77/745104?
9686352
Calculate the common denominator of -111/182 and 221/42420.
551460
Calculate the common denominator of 16/145 and -62/45095.
45095
What is the least common multiple of 8559 and 33?
94149
Calculate the least common multiple of 2832 and 4602.
36816
Calculate the smallest common multiple of 48 and 100336.
301008
Calculate the least common multiple of 24 and 268864.
806592
Calculate the least common multiple of 2000 and 7750.
62000
Find the common denominator of 35/137392 and -61/22160.
686960
Calculate the common denominator of -25/3 and 22/160855.
482565
Calculate the lowest common multiple of 67251 and 2319.
67251
What is the least common multiple of 12192 and 88?
134112
Find the common denominator of -86/21 and 83/149079.
149079
Find the common denominator of 77/24110 and 53/16877.
168770
Calculate the common denominator of -27/980 and 107/1470.
2940
Calculate the least common multiple of 124872 and 238392.
2622312
Calculate the common denominator of 69/6496 and 17/56.
6496
Find the common denominator of -65/98 and -61/119616.
837312
What is the lowest common multiple of 18564 and 92820?
92820
Find the common denominator of -65/404 and -113/4040.
4040
What is the smallest common multiple of 11084 and 204?
33252
What is the common denominator of -49/83305 and -5/549813?
2749065
Calculate the common denominator of -43/186048 and -125/12.
186048
Calculate the common denominator of 101/6052 and 107/748.
66572
Calculate the common denominator of 127/6984 and 71/80.
69840
Calculate the least common multiple of 62208 and 160.
311040
What is the common denominator of -109/18 and 89/1284?
3852
Find the common denominator of -44/14991 and 51/24985.
74955
Calculate the least common multiple of 38500 and 170500.
1193500
Find the common denominator of 95/734528 and 71/368.
734528
Calculate the common denominator of 143/24 and -49/16638.
66552
Find the common denominator of -49/180 and -8/55305.
221220
Calculate the common denominator of -41/162 and -95/575406.
5178654
What is the common denominator of 13/3270 and -97/21582?
107910
Calculate the common denominator of 45/677 and -13/146.
98842
What is the smallest common multiple of 1944470 and 883850?
9722350
Calculate the least common multiple of 6208 and 5824.
564928
What is the least common multiple of 66672 and 29632?
266688
Calculate the least common multiple of 432 and 3474.
83376
What is the lowest common multiple of 1970 and 10638?
53190
What is the smallest common multiple of 128556 and 107130?
642780
Calculate the lowest common multiple of 8 and 123568.
123568
Calculate the smallest common multiple of 528 and 3504.
38544
Calculate the common denominator of -97/139148 and -7/208722.
417444
What is the least common multiple of 105788 and 44?
1163668
Calculate the lowest common multiple of 10260 and 12996.
194940
Find the common denominator of -47/64 and 85/23022.
736704
What is the common denominator of -51/232 and -131/7752?
224808
Find the common denominator of 37/110 and -61/4500.
49500
Find the common denominator of -7/342 and 125/354312.
354312
What is the lowest common multiple of 15039 and 243?
135351
Find the common denominator of -111/48796 and -39/70976.
780736
Calculate the least common multiple of 66096 and 72.
66096
What is the common denominator of -163/546 and 59/6576?
598416
What is the least common multiple of 212 and 4176?
221328
Find the common denominator of -63/71944 and -33/272.
143888
What is the common denominator of -11/8996 and -73/68?
152932
What is the least common multiple of 46852 and 442?
46852
Calculate the lowest common multiple of 1088 and 608.
20672
Calculate the smallest common multiple of 10 and 1716392.
8581960
What is the common denominator of 7/16164 and 23/1796?
16164
Calculate the lowest common multiple of 2009 and 672.
192864
What is the common denominator of -7/24 and -29/614832?
614832
What is the common denominator of -29/14 and -33/221198?
1548386
What is the lowest common multiple of 218908 and 492543?
1970172
Find the common denominator of -91/16 and 19/1945622.
15564976
Find the common denominator of -217/8580 and 161/143286.
1432860
Calculate the smallest common multiple of 193828 and 6.
581484
Calculate the common denominator of -61/6200 and 21/410.
254200
What is the smallest common multiple of 143 and 44330?
44330
Calculate the smallest common multiple of 47670 and 23835.
47670
What is the least common multiple of 38 and 5548?
5548
Calculate the smallest common multiple of 35325 and 6.
70650
Find the common denominator of -149/780 and -79/2040.
26520
What is the smallest common multiple of 313999 and 14?
627998
Find the common denominator of 71/28874 and 7/8.
115496
Calculate the common denominator of -69/141515 and 21/3751.
1556665
Calculate the common denominator of -109/44 and -43/6688.
6688
What is the common denominator of 137/246 and -21/1070?
131610
Calculate the common denominator of 115/413748 and -63/22.
4551228
Find the common denominator of 17/10 and -33/13370.
13370
Find the common denominator of -43/744 and 23/19220.
115320
Calculate the lowest common multiple of 303880 and 8.
303880
Calculate the lowest common multiple of 90 and 435.
2610
Calculate the common denominator of 49/7576 and -113/17046.
68184
What is the lowest common multiple of 134860 and 61300?
674300
What is the common denominator of 109/39004 and -65/78008?
78008
Calculate the smallest common multiple of 20694 and 8.
82776
Calculate the common denominator of 52/11 and -143/22434.
246774
Find the common denominator of -53/51422 and -67/20.
514220
What is the lowest common multiple of 9296 and 8?
9296
Calculate the least common multiple of 9510 and 50.
47550
What is the least common multiple of 9276 and 30920?
92760
Find the common denominator of -13/22192 and 53/9234.
5392656
Calculate the lowest common multiple of 112116 and 32.
896928
What is the common denominator of -85/22 and -71/187194?
2059134
What is the lowest common multiple of 2736 and 45?
13680
Calculate the smallest common multiple of 97510 and 175518.
877590
Find the common denominator of 74/1144755 and -109/72.
9158040
Calculate the common denominator of -51/815860 and 117/12430.
8974460
Find the common denominator of 25/4224654 and 39/2.
4224654
What is the smallest common multiple of 1488 and 98580?
394320
What is the common denominator of 61/656 and 161/3876?
635664
Calculate the lowest common multiple of 5856 and 16836.
134688
Calculate the smallest common multiple of 1870 and 462.
39270
Find the common denominator of -43/36 and -7/793218.
4759308
Find the common denominator of 107/108472 and -55/4368.
650832
What is the common denominator of 8/6325 and -62/4025?
44275
What is the lowest common multiple of 296 and 5402?
21608
What is the least common multiple of 2697 and 39?
35061
Find the common denominator of -29/192 and 53/46044.
736704
Calculate the lowest common multiple of 55374 and 180.
1661220
Find the common denominator of 103/30962 and 57/274.
30962
Calculate the common denominator of 67/21 and -20/54417.
380919
What is the least common multiple of 7 and 12760?
89320
Calculate the smallest common multiple of 2115 and 10074.
7102170
What is the lowest common multiple of 270 and 660042?
3300210 | {
"pile_set_name": "DM Mathematics"
} |
h + 48. Give k(-4).
-52
Let r(i) = -678*i - 16221. What is r(-24)?
51
Let k(x) = -x**2 + 150*x + 2652. Determine k(-16).
-4
Let p(g) = g**3 + 40*g**2 + 233*g + 68. What is p(-33)?
2
Let p(z) = 47*z + 166. Calculate p(-6).
-116
Let z(a) = -a**2 - 19*a - 24. Calculate z(-11).
64
Let j(z) = -2*z**2 + 65*z + 323. Calculate j(37).
-10
Let r(u) = -u**3 + 24*u**2 - 36*u + 27. Give r(24).
-837
Let f(v) = v**3 - v**2 - 4*v + 13. Determine f(0).
13
Let f(o) = 81*o + 775. What is f(-10)?
-35
Let h(o) = -29*o**2 + 40*o + 82. Give h(-2).
-114
Let g(t) = 91*t + 192. Calculate g(-8).
-536
Let m(g) = -2*g**3 + 12*g**2 + 33*g - 111. Give m(7).
22
Let v(w) = -w**3 - 10*w**2 - 7*w + 28. Give v(-4).
-40
Let o(q) = -739*q + 14. Give o(0).
14
Let x(s) = 4*s**3 + 9*s**2 - 14*s - 54. Determine x(-4).
-110
Let a(t) = -62*t - 3075. Calculate a(-50).
25
Let n(g) = 16*g**3 - 1088*g**2 - g + 69. Determine n(68).
1
Let w(a) = -a**3 - 2*a**2 + 18*a - 17. Determine w(6).
-197
Let j(y) = 74*y - 646. Determine j(8).
-54
Let a(w) = -8513*w + 272420. Determine a(32).
4
Let a(s) = -s**3 + 6*s**2 - 11*s + 17. Calculate a(7).
-109
Let o(u) = -2*u**2 + 52*u - 58. Calculate o(23).
80
Let t(c) = 12*c**2 - 765*c + 3055. Give t(4).
187
Let a(r) = -r**2 + 131*r - 1850. Determine a(16).
-10
Let z(q) = 20*q - 121. Give z(9).
59
Let x(v) = 124*v + 1514. Give x(-12).
26
Let f(k) = 7*k**3 - 2*k**2 - 39*k - 113. Give f(-3).
-203
Let u(n) = n**2 + 106*n + 511. Give u(-101).
6
Let i(n) = -91*n**3 + 6641*n**2 + 149*n - 221. Give i(73).
-2
Let f(d) = d**3 - 24*d**2 + 44*d + 37. Determine f(22).
37
Let h(u) = 1638*u + 4955. What is h(-3)?
41
Let q(k) = 3*k**2 + 389*k - 1318. Give q(-133).
12
Let u(t) = 160*t + 8. Give u(1).
168
Let l(b) = 2338*b + 16401. Determine l(-7).
35
Let i(o) = o + 39. Calculate i(-23).
16
Let o(q) = -3*q**3 - 8*q**2 - 4*q + 1. Calculate o(-3).
22
Let f(j) = 104*j + 621. Calculate f(-6).
-3
Let t(l) = 71*l - 29. Calculate t(1).
42
Let p(n) = n**3 + 12*n**2 - 61*n + 146. Calculate p(-16).
98
Let n(x) = -x**3 - 8*x**2 - 2*x - 21. Calculate n(-8).
-5
Let k(x) = -4*x**3 + 2*x**2 + 8*x - 7. Determine k(3).
-73
Let b(u) = 4*u**2 - 31*u - 190. What is b(12)?
14
Let n(t) = 771*t + 2811. Give n(-3).
498
Let o(z) = 12*z**3 + z**2 - 46*z + 81. What is o(2)?
89
Let n(u) = -2*u**3 + 37*u**2 - 101*u - 4. Give n(4).
56
Let i(d) = 6398*d + 44793. Determine i(-7).
7
Let s(u) = -49*u - 239. Give s(-6).
55
Let f(k) = -4*k**2 - 119*k - 43. What is f(-30)?
-73
Let u(n) = -292*n + 2922. Give u(10).
2
Let x(i) = 134*i - 877. Calculate x(9).
329
Let r(p) = p**2 - 8720*p + 60990. Calculate r(7).
-1
Let d(v) = 15*v - 265. What is d(18)?
5
Let s(l) = 2*l**2 - 22*l + 36. Give s(2).
0
Let w(z) = 63*z**2 - 698*z + 697. Determine w(1).
62
Let x(i) = -i**3 + 125*i**2 + 124*i + 236. What is x(126)?
-16
Let h(v) = 52*v**2 - 213*v - 19. Calculate h(4).
-39
Let c(o) = -19*o + 304. Give c(20).
-76
Let s(c) = -4740*c + 94800. Determine s(20).
0
Let r(l) = -302*l**3 + l**2 + 3*l - 4. Calculate r(1).
-302
Let x(m) = -120*m - 1155. Give x(-9).
-75
Let i(c) = c**2 + 849*c - 9380. Calculate i(11).
80
Let f(a) = a**3 - 7*a**2 + 28*a - 8. What is f(5)?
82
Let f(b) = -4*b - 8. Calculate f(-4).
8
Let g(a) = 2*a + 70. Determine g(-37).
-4
Let v(w) = -38*w - 290. Calculate v(-9).
52
Let o(d) = -3*d**2 - 178*d - 2646. Give o(-31).
-11
Let t(j) = j**3 - 47*j**2 - 55*j + 275. Calculate t(48).
-61
Let l(s) = -2*s**3 + 13*s**2 + 57*s - 355. Give l(7).
-5
Let m(h) = 319*h + 1910. What is m(-6)?
-4
Let r(p) = p**2 - 64*p + 178. Give r(3).
-5
Let d(i) = -24*i - 1790. Determine d(-74).
-14
Let l(t) = -13*t**2 + 187*t - 179. Give l(1).
-5
Let w(n) = -3330*n - 10. Calculate w(0).
-10
Let z(i) = 810*i + 7917. Give z(-10).
-183
Let m(f) = -10*f**2 - 49*f + 154. Give m(2).
16
Let z(n) = 201*n + 8. Determine z(0).
8
Let x(n) = 19*n - 68. Give x(7).
65
Let m(b) = -b**3 + 117*b**2 + 357*b + 370. What is m(120)?
10
Let t(m) = 2*m**3 + 85*m**2 + 197*m - 87. What is t(-40)?
33
Let f(p) = p**3 - 9*p**2 + 8*p + 46. Give f(7).
4
Let a(n) = -n**2 + 44*n + 253. Give a(50).
-47
Let i(o) = -o**3 + 8*o**2 + 21*o + 12. Give i(-4).
120
Let f(z) = z**3 + 14*z**2 + 53*z + 2. Determine f(-10).
-128
Let s(i) = -82*i + 13112. Give s(160).
-8
Let a(z) = -15*z**2 - 5*z + 28. Determine a(3).
-122
Let c(z) = -z**3 + 55*z**2 - 151*z - 271. Calculate c(52).
-11
Let w(z) = 59*z + 1000. What is w(-17)?
-3
Let c(w) = -w**3 + 55*w**2 + 112*w + 131. Give c(57).
17
Let s(m) = 42010*m - 126024. Determine s(3).
6
Let j(c) = 2*c**3 + 5*c**2 - 41*c - 89. Determine j(-2).
-3
Let k(c) = 14*c - 35. Give k(-6).
-119
Let v(o) = o**2 - 27*o - 227. What is v(34)?
11
Let l(t) = -136*t + 7339. What is l(54)?
-5
Let g(c) = -281*c + 2501. Calculate g(9).
-28
Let q(p) = p**3 + 19*p**2 + 34*p - 35. What is q(-17)?
-35
Let f(a) = 2*a**2 - 361*a + 718. Give f(2).
4
Let f(q) = 4*q**2 - 165*q - 2470. What is f(53)?
21
Let i(u) = -93*u + 3635. Determine i(39).
8
Let s(a) = -320*a - 463. Calculate s(-2).
177
Let z(p) = -p**2 + 28*p - 25. Calculate z(27).
2
Let v(z) = 43*z**2 - 8*z - 15. What is v(-2)?
173
Let c(s) = -7*s - 357. Determine c(-52).
7
Let r(m) = -12*m**2 - 28*m + 6. Calculate r(-4).
-74
Let j(g) = 4*g**2 - 16*g - 9. Determine j(4).
-9
Let i(k) = k**3 + 97*k**2 + 190*k + 123. What is i(-95)?
123
Let u(x) = 41*x**3 + 88*x**2 + 5*x - 1. Determine u(-2).
13
Let x(d) = 6*d**2 + 233*d + 19. Give x(-39).
58
Let a(o) = 48*o - 1688. Determine a(35).
-8
Let r(k) = -22*k - 249. Give r(-13).
37
Let z(q) = 13*q**3 - q**2 - 21*q - 38. Give z(-2).
-104
Let m(y) = -49*y**2 - 5419*y + 2214. Determine m(-111).
-6
Let y(v) = 9*v**2 + 370*v + 2802. Give y(-10).
2
Let k(v) = -7*v**2 + 866*v - 4152. Give k(5).
3
Let h(o) = -o**2 - 78*o - 615. Determine h(-69).
6
Let g(f) = f**3 - 16*f**2 + 15*f - 14. Determine g(15).
-14
Let g(o) = 109*o - 1750. Give g(17).
103
Let k(d) = -25*d**2 + 78*d + 5. Determine k(3).
14
Let x(q) = 263*q - 3152. What is x(12)?
4
Let a(p) = p**3 + 2*p**2 - 72*p + 26. Determine a(-8).
218
Let b(i) = -3*i**3 + 70*i**2 + 42*i + 49. Determine b(24).
-95
Let c(l) = 4*l**3 - 8*l**2 + l + 41. What is c(7)?
1028
Let c(j) = -j**3 - 20*j**2 - 76*j + 191. What is c(-13)?
-4
Let o(w) = 651*w + 44248. Determine o(-68).
-20
Let o(y) = 78*y - 830. What is o(11)?
28
Let l(k) = -49*k + 2458. Determine l(50).
8
Let k(h) = 18*h + 301. Give k(-19).
-41
Let m(t) = t**2 + 4352*t + 43420. Calculate m(-10).
0
Let y(z) = z**3 + 76*z**2 + 155*z + 493. Give y(-74).
-25
Let p(l) = 38*l - 753. What is p(20)?
7
Let d(j) = -j**3 - 20*j**2 + 233*j + 3639. Calculate d(-11).
-13
Let h(u) = 4*u**3 + 21*u**2 + 122*u + 494. Give h(-4).
86
Let l(n) = n**3 + 13*n**2 - 27*n - 141. Calculate l(-14).
41
Let n(p) = -12*p**2 - 101*p - 139. What is n(-7)?
-20
Let b(z) = 738*z**2 - 35*z + 34. Give b(1).
737
Let m(z) = 2*z**3 - 49*z**2 + 66*z + 45. What is m(23)?
-24
Let y(s) = -376*s - 46638. Calculate y(-124).
-14
Let f(y) = y**3 - 84*y**2 + 333*y - 1041. Calculate f(80).
-1
Let t(x) = 2*x**3 + 31*x**2 + 110*x + 555. Determine t(-13).
-30
Let d(k) = -k**3 - 68*k**2 - 199*k + 249. Calculate d(-65).
509
Let c(x) = 6*x**2 + 18*x - 69. Determine c(-10).
351
Let a(z) = 3*z**3 + 66*z**2 + 45*z + 135. Determine a(-21).
513
Let d(c) = -14097*c + 14095. What is d(1)?
-2
Let q(g) = 1033*g - 81619. Determine q(79).
-12
Let t(p) = 2*p**3 + 2*p**2 + 31*p - 34. Determine t(1).
1
Let s(k) = -k**2 + 33*k + 139. What is s(38)?
-51
Let m(a) = a**3 + 10*a**2 - 42*a - 10. Give m(4).
46
Let v(m) = -2*m**2 + 193*m + 4392. Calculate v(-19).
3
Let z(p) = p**2 + 8*p - 102. Give z(12).
138
Let p(n) = n**3 - 16*n**2 + 46*n + 31. Determine p(12).
7
Let g(f) = f**2 + 52*f - 2124. Determine g(-79).
9
Let r(c) = 400*c + 2185. Determine r(-6).
-215
Let o(p) = -21*p**2 + 485*p + 484. Determine o(-1).
-22
Let w(t) = -188*t + 1000. Calculate w(5).
60
Let g(z) = z**3 + 11*z**2 + 39*z + 182. Give g(-6).
128
Let s(v) = -v**2 + 17*v + 109. What is s(22)?
-1
Let d(c) = -13*c**2 - 57*c - 11. Determine d(-6).
-137
Let i(n) = -42*n - 1583. Calculate i(-39).
55
Let g(k) = k**2 - 48*k - 706. Determine g(58).
-126
Let k(w) = -21*w + 3. Give k(-7).
150
Let s(r) = -r**2 - 30*r + 397. Determine s(-40).
-3
Let n(r) = r**3 + 19*r**2 + 63*r + 482. Calculate n(-17).
-1 | {
"pile_set_name": "DM Mathematics"
} |
n 848094 + n - 848094.
n
Collect the terms in u**2 - u**2 - u**2 - u**2.
-2*u**2
Collect the terms in i + 19*i - 3*i - 10*i.
7*i
Collect the terms in -4*g - 16*g**3 + 0*g + 4*g.
-16*g**3
Collect the terms in u + 692 - 692.
u
Collect the terms in 12*l**2 + 1177*l - 1177*l.
12*l**2
Collect the terms in 0 + 0 + 26*t - 30*t.
-4*t
Collect the terms in 0*r**2 + 12*r**2 - 9*r**2.
3*r**2
Collect the terms in -37*t**2 - 32*t**2 + 103*t**2 - 2.
34*t**2 - 2
Collect the terms in 32*u**3 - 7*u**3 + u**3.
26*u**3
Collect the terms in 108*j - 249*j - 182*j.
-323*j
Collect the terms in 41*p**3 + 12*p**3 - 57*p**3.
-4*p**3
Collect the terms in 2*g**2 - 6*g + 3*g + 0*g**2.
2*g**2 - 3*g
Collect the terms in 32 - 3*h**3 + 54 - 86.
-3*h**3
Collect the terms in -5*b**2 + 3*b**2 - 27*b + 27*b.
-2*b**2
Collect the terms in 40*o - 14*o - 32*o.
-6*o
Collect the terms in -18*q - 497*q + 31*q.
-484*q
Collect the terms in -8*u**2 - 90*u**2 + 1 - 1.
-98*u**2
Collect the terms in -17*p**2 - 18*p**2 + 35*p**2 - 9*p**2.
-9*p**2
Collect the terms in -181*b**2 - 173*b**2 + 356*b**2.
2*b**2
Collect the terms in 248*l**2 - 128*l**2 - 125*l**2.
-5*l**2
Collect the terms in -88*w**3 - 87*w**3 - 80*w**3 - 3*w**2 + 244*w**3.
-11*w**3 - 3*w**2
Collect the terms in -5*r**2 - 2*r**2 + r**2.
-6*r**2
Collect the terms in -1 + 20*v**2 + 1 - 24*v**2.
-4*v**2
Collect the terms in 45*l**3 - 46*l**3 + 5*l**2 - 5*l**2.
-l**3
Collect the terms in 4*h + 132717 - 132717.
4*h
Collect the terms in 1 - 12*o**2 - 5 + 4.
-12*o**2
Collect the terms in -6*f + 6 + 4 + 1 + 3*f.
-3*f + 11
Collect the terms in 3 - 4*b + 0*b - 3 + 2*b.
-2*b
Collect the terms in -2*x - 175 - 177 + 352.
-2*x
Collect the terms in 2*l + 11*l**3 - 22*l**3 - 2*l.
-11*l**3
Collect the terms in -7298*f + 14592*f - 7301*f.
-7*f
Collect the terms in -63*j - 56*j + 119*j - 2*j**3.
-2*j**3
Collect the terms in -65*z + 232*z - 83*z - 82*z.
2*z
Collect the terms in 10*g**3 - 6*g**3 - 2*g**3 + 7*g**3 + g + 5*g**3.
14*g**3 + g
Collect the terms in -35*u + 9*u + 13*u + 26*u.
13*u
Collect the terms in -14*m - 18 - 14*m - 13*m + 17.
-41*m - 1
Collect the terms in -426864 + 6*h**3 + 426864.
6*h**3
Collect the terms in -20*d + 35*d - 16*d.
-d
Collect the terms in 7 - 2178*i**3 - 7.
-2178*i**3
Collect the terms in o**2 + 2 - 2*o - 2.
o**2 - 2*o
Collect the terms in 14 + 2*p**2 + 11 - 25.
2*p**2
Collect the terms in 11*h**2 + 10*h**2 + 2 - 23*h**2 - 2.
-2*h**2
Collect the terms in -5*s**2 + s - 6*s + 14*s**2 + 3*s.
9*s**2 - 2*s
Collect the terms in -5*o - 24*o**2 + 2*o + 4*o.
-24*o**2 + o
Collect the terms in -741*y + 12 - 12.
-741*y
Collect the terms in -301*u**3 + 75*u**3 + 77*u**3 + 74*u**3 + 77*u**3.
2*u**3
Collect the terms in -26*j**3 + 7*j - 7*j.
-26*j**3
Collect the terms in 446 - 446 + 2*z.
2*z
Collect the terms in 19*z**3 + 16*z**3 - 8*z**3.
27*z**3
Collect the terms in 168*m**2 - 94*m**2 - 74*m**2 - 6*m**3.
-6*m**3
Collect the terms in -5*m**3 + m**3 + 3*m**3.
-m**3
Collect the terms in -280*w**2 + 566*w**2 - 283*w**2.
3*w**2
Collect the terms in -6*f**3 + 3*f**3 - 4*f**2 + 5*f**2.
-3*f**3 + f**2
Collect the terms in 3*d - 5*d - 6*d.
-8*d
Collect the terms in 1172*t**3 - 2704*t**3 - 2413*t**3.
-3945*t**3
Collect the terms in 110*y**2 + 131*y**2 - 243*y**2.
-2*y**2
Collect the terms in 8*w + 17*w + 3*w - 7*w + 5*w.
26*w
Collect the terms in 159*p**3 - 77*p**3 - 76*p**3.
6*p**3
Collect the terms in 2210*j + 2207*j - 6623*j + 2207*j.
j
Collect the terms in -m - 6*m + 12*m - 6*m.
-m
Collect the terms in 11*x**3 - 4*x**3 + 12*x**3.
19*x**3
Collect the terms in 48 - 77 - j - j.
-2*j - 29
Collect the terms in 4*c + 5 - 5.
4*c
Collect the terms in -4*n + 7 - 7.
-4*n
Collect the terms in 15*i**2 - 22 + 29 + 2*i**2.
17*i**2 + 7
Collect the terms in 98*l**2 + 4*l - 4*l.
98*l**2
Collect the terms in -6*l**2 - l - 40*l + 5*l + 36*l.
-6*l**2
Collect the terms in 70*q - 29 - 24*q**3 - 70*q.
-24*q**3 - 29
Collect the terms in 297*s - 569*s + 289*s.
17*s
Collect the terms in 4*x**2 - 7*x**2 + 2*x**2 + 6*x**2.
5*x**2
Collect the terms in 60*d**2 + 2 - 5 + 3.
60*d**2
Collect the terms in 20*k**3 - 9*k**3 - 6*k**3 + 3*k**2.
5*k**3 + 3*k**2
Collect the terms in 160 - 160 + 15*d**2.
15*d**2
Collect the terms in 5371*z - 10752*z + 5376*z.
-5*z
Collect the terms in 0*a + 21*a + 10*a - 8*a.
23*a
Collect the terms in -77691*k**2 + 77691*k**2 + 10*k**3.
10*k**3
Collect the terms in -92*h**2 + 92*h**2 - 33*h**3.
-33*h**3
Collect the terms in -13*l**2 + 3*l**2 + 7*l**3 + 8*l**2 + 2*l**2.
7*l**3
Collect the terms in 714*k**3 - 15*k**3 - 54*k**3.
645*k**3
Collect the terms in 2 + 524*q**2 - 2.
524*q**2
Collect the terms in -19*i + 54*i - 21*i - 14*i - 3*i**2.
-3*i**2
Collect the terms in 3*x**2 - 4 - x**2 - 91.
2*x**2 - 95
Collect the terms in 223*m**3 + 219*m**3 + 220*m**3 - 665*m**3.
-3*m**3
Collect the terms in 12*y**2 + 4*y**2 - 19*y**2 + 2*y**2.
-y**2
Collect the terms in 7*v - 7*v - 5601*v**2 + 5600*v**2.
-v**2
Collect the terms in 15*p - 15*p + p**3 - 4*p**3.
-3*p**3
Collect the terms in 5*d - 4*d - 4*d - 52*d**3.
-52*d**3 - 3*d
Collect the terms in 9*a**2 + 3*a**2 - 18*a**2 + 11*a**2.
5*a**2
Collect the terms in 8 - 1 - 7 + 11*k**2.
11*k**2
Collect the terms in -12*n - 11*n - 500 + 500.
-23*n
Collect the terms in 17*x + 31 + 33 - 73.
17*x - 9
Collect the terms in 3*x**2 + 53*x - 25*x - 28*x.
3*x**2
Collect the terms in 70*c**2 + 338*c**3 - 70*c**2 - 83*c**3.
255*c**3
Collect the terms in s**3 - 329 - 2*s**3 + 164 + 165.
-s**3
Collect the terms in -4 + 5 + 12*v - 1.
12*v
Collect the terms in 350*n**2 - 120*n**2 - 119*n**2 - 113*n**2.
-2*n**2
Collect the terms in 11*i + i - 6*i - 6*i + 2*i.
2*i
Collect the terms in -o**2 + 3*o**2 + o**2.
3*o**2
Collect the terms in 1417*t - 1418*t + 0 + 0.
-t
Collect the terms in 49 + 38 + 3*t + 19.
3*t + 106
Collect the terms in 239 - 239 - 3*g.
-3*g
Collect the terms in -34*u + 120*u - 81*u.
5*u
Collect the terms in -26*i**2 + 32*i**2 - 17*i**2.
-11*i**2
Collect the terms in -3*v**2 + 1 + 0*v**2 + 13 - 4.
-3*v**2 + 10
Collect the terms in 133*g**3 - 69*g**3 - 68*g**3.
-4*g**3
Collect the terms in 7*x**2 - 26*x**2 + 2 - 2.
-19*x**2
Collect the terms in -2 - 4 + 21*y**2 - 2.
21*y**2 - 8
Collect the terms in -19*u**3 - 11*u**3 - 10*u**3.
-40*u**3
Collect the terms in -1148*y - 1149*y - 1142*y + 3443*y.
4*y
Collect the terms in 17*l + 12*l + 12*l.
41*l
Collect the terms in 139*t**2 + 814*t**2 - 58*t**2.
895*t**2
Collect the terms in -3 - 10 + i**2 - 10.
i**2 - 23
Collect the terms in -27*b + 11*b - 41*b - 3*b.
-60*b
Collect the terms in -149*y + 21 - 21.
-149*y
Collect the terms in -109*s + 230*s - 124*s.
-3*s
Collect the terms in -5*p + 5*p + 5*p.
5*p
Collect the terms in -78 - 2*b + 2*b + 78 - b**2.
-b**2
Collect the terms in 28 + 1067*u - 28.
1067*u
Collect the terms in -9*q**3 + 13*q**3 + 11*q**3 + 19*q**3.
34*q**3
Collect the terms in -17*d - 12*d + 31*d.
2*d
Collect the terms in 5*s - 3 - 13*s - 6*s**2 + 8*s.
-6*s**2 - 3
Collect the terms in -244*s**2 - 13*s**2 - 552*s**2.
-809*s**2
Collect the terms in -9*a + 1 - 1 - 16*a.
-25*a
Collect the terms in -67*v**2 + 34*v**2 + 12*v**3 + 33*v**2.
12*v**3
Collect the terms in 3*f + 4 - 23 + f.
4*f - 19
Collect the terms in -7*u - 320*u**2 + 7*u - 554*u**2.
-874*u**2
Collect the terms in -4876 + d**2 + 4876.
d**2
Collect the terms in 5843*c**3 - 11681*c**3 + 5836*c**3.
-2*c**3
Collect the terms in -15*u - 20*u - 19*u + 52*u.
-2*u
Collect the terms in 4 - 8*b - 9 - 3.
-8*b - 8
Collect the terms in -728*x + 31*x**2 - 8*x**2 + 731*x.
23*x**2 + 3*x
Collect the terms in -588*h**2 - 3*h + 3*h.
-588*h**2
Collect the terms in -25*j**2 + 0*j**2 - 14*j**2 + 8*j**2.
-31*j**2
Collect the terms in 160*z - 62*z - 45*z - 16*z.
37*z
Collect the terms in -6*u + 8*u - u + 3*u.
4*u
Collect the terms in 12 - 12 + 9*s**3.
9*s**3
Collect the terms in -17 + 226*v**2 + 17.
226*v**2
Collect the terms in -6*s - 44*s + 5*s - 2*s**2.
-2*s**2 - 45*s
Collect the terms in -13*w**3 - 9*w**3 + 32*w**3 - 9*w**3.
w**3
Collect the terms in 31 - 31 - 5*o**3.
-5*o**3
Collect the terms in 3*n**2 - 5*n**2 + 9*n**2.
7*n**2
Collect the terms in 144*t**3 - 2*t - 120*t**3 + t.
24*t**3 - t
Collect the terms in -352*b + b**2 - 338*b + 2*b**2 + 690*b.
3*b**2
Collect the terms in -9*p**2 - 22*p**2 + 25*p**2.
-6*p**2
Collect t | {
"pile_set_name": "DM Mathematics"
} |
hat is 37.74021 times -18?
-679.32378
229.979 * -1391
-319900.789
What is the product of 6428099 and 0.47?
3021206.53
Calculate -27343*-0.296.
8093.528
Work out 11607.8 * 121.
1404543.8
Calculate 5.79809*2.7.
15.654843
Product of 82.46 and 7.68.
633.2928
Multiply 265 and 8223.21.
2179150.65
Work out 2041.99 * -3164.
-6460856.36
Multiply -1.7 and 411695.
-699881.5
Product of 0.01 and -2933.821.
-29.33821
-0.2 * 386112110
-77222422
Calculate -6*-0.013443.
0.080658
-619*312.768
-193603.392
102.5*-10112
-1036480
Multiply -1371 and -1.8465.
2531.5515
63559*1899
120698541
Product of 0.27 and -882698.
-238328.46
-0.5*31.152279
-15.5761395
674 times 6089
4103986
Multiply 0.1558 and -145818.
-22718.4444
0.00009042*0.1
0.000009042
-6.366 * -105247
670002.402
Multiply 8.251 and 8.638.
71.272138
159.64 * 44
7024.16
0.5 * 26703740
13351870
What is the product of -2 and -61.96299?
123.92598
-0.298 * 1149.4
-342.5212
What is the product of -1484 and 47899?
-71082116
What is the product of -21 and 1588213?
-33352473
3 times 14419326
43257978
Product of 3 and -1507831.
-4523493
What is 305050 times 24?
7321200
Calculate -97486*-0.2539.
24751.6954
What is the product of 1166 and -25.81?
-30094.46
Multiply -3278 and -734.6.
2408018.8
Product of -822215 and -1.
822215
-3123.5843 times 0.4
-1249.43372
-0.014008 * 1.17
-0.01638936
-5*-121894853
609474265
2.57777066 * -0.2
-0.515554132
Calculate 3495*81959.
286446705
-105 times 27106
-2846130
14 * 553.107
7743.498
-1341538 * 21
-28172298
Multiply -2627.4 and -5.36.
14082.864
34.38*134275
4616374.5
Work out 9.4 * -4715.
-44321
What is 886 times 3686?
3265796
Product of -0.7 and -0.25759411.
0.180315877
-0.5*48809.675
-24404.8375
Product of 0.0838807 and 0.23.
0.019292561
Calculate -2167509482*-0.2.
433501896.4
What is -0.6 times -16853.52?
10112.112
Multiply -4 and -5115723.
20462892
Product of -44991751 and 35.
-1574711285
53699 * -111
-5960589
What is 35318208 times -0.1?
-3531820.8
Product of -1.8241 and 31229.
-56964.8189
What is the product of 4 and 9.53414?
38.13656
113824 times 14
1593536
Multiply 0.0811 and -16420.
-1331.662
What is the product of 0.0735406 and 1?
0.0735406
Work out 58.08 * 1.59.
92.3472
Multiply 125437 and 72.
9031464
Calculate -0.127*63210.31.
-8027.70937
What is 0.01958054 times 0.25?
0.004895135
Calculate -1845.45*-50.
92272.5
Calculate -22756*-315.
7168140
1.9672*-69
-135.7368
0.2 times -165942636
-33188527.2
Calculate -14461*-4761.
68848821
Multiply -988056.6 and 0.6.
-592833.96
-1670.32 times 1.27
-2121.3064
Product of -0.6 and -15631134.
9378680.4
-0.84169259 times 0.3
-0.252507777
Work out -15084833 * 0.3.
-4525449.9
What is -0.4564 times 0.18759?
-0.085616076
What is the product of -0.226772 and 18?
-4.081896
-7376950 * -1
7376950
Multiply 0.25768 and -605.
-155.8964
What is 201.58 times 764?
154007.12
-10.41*4722
-49156.02
Product of 0.2 and 1344802.
268960.4
Multiply 0.0437 and 881590.
38525.483
-859134.3 times 23
-19760088.9
Product of -3 and -596100.53.
1788301.59
Calculate 392*16331.
6401752
What is -0.3163 times 401488?
-126990.6544
Product of 6 and 269296.8.
1615780.8
-4 times 0.29918264
-1.19673056
Product of 87759121 and -0.5.
-43879560.5
Work out 276 * 8.55.
2359.8
Work out -1 * 1624837.
-1624837
Calculate -1*0.07339679.
-0.07339679
-0.05 times -2998735
149936.75
Calculate -79*-4423666.
349469614
Calculate 31*-2893.685.
-89704.235
-0.039*108939
-4248.621
Multiply -2048585 and -0.1.
204858.5
Calculate -0.082*-1170378.
95970.996
What is the product of 5842141 and -5?
-29210705
Calculate 8260*83.4.
688884
6657328 * 0.06
399439.68
93714 times 8
749712
Calculate -0.52346955*5.
-2.61734775
What is the product of 181803 and 954?
173440062
-0.2 * 1700.45828
-340.091656
Multiply 565 and -1.733.
-979.145
Multiply -14780166 and -18.
266042988
Calculate -127.1*298011.
-37877198.1
Work out -0.56 * 45.
-25.2
Multiply 1754620 and -0.09.
-157915.8
-138.7677 * -0.093
12.9053961
-74320792*0.3
-22296237.6
What is the product of 10367 and -2.36?
-24466.12
Multiply 1142546 and 2.
2285092
Work out 711716 * 2.
1423432
What is the product of -251 and 40634?
-10199134
4.7605 * 1112
5293.676
Work out -2268 * -11463.
25998084
Work out -3 * 17765.673.
-53297.019
Multiply 6.6 and -0.0196404.
-0.12962664
Calculate 44485.5*-19.
-845224.5
Work out 41 * -42203.
-1730323
Product of -4 and -3316344.
13265376
Product of 273332 and -0.0308.
-8418.6256
What is -191406087 times 0.3?
-57421826.1
Multiply -0.3 and -0.4433891.
0.13301673
-150 times 0.16659
-24.9885
What is -2.769667 times 1?
-2.769667
Calculate 11703.60904*-1.
-11703.60904
2323850 * 0.01
23238.5
-156.09*-409
63840.81
-30.8991 * 0.32
-9.887712
What is the product of -57646 and 69.2?
-3989103.2
-4.514 times 6090
-27490.26
15.108858 * 0.02
0.30217716
What is the product of -5761 and 100?
-576100
-6228*7.786
-48491.208
0.1022 times -2515
-257.033
Work out 0.1 * -3602248.
-360224.8
Multiply 3116 and -27547.
-85836452
Multiply 133.9015 and 0.5.
66.95075
Work out 0.12878 * -0.1275.
-0.01641945
What is the product of -1696700 and -0.1?
169670
194 * -5.768
-1118.992
25413*-4.79
-121728.27
Calculate 0.12202862*1.1.
0.134231482
178008.7*0.34
60522.958
Work out -35.31 * 0.05529.
-1.9522899
What is the product of 21716581 and -0.3?
-6514974.3
What is the product of 7 and -1819147?
-12734029
Work out 2861 * -416.
-1190176
0.8 * -62380480
-49904384
What is the product of -1263 and 18524?
-23395812
7895808 times -0.2
-1579161.6
What is the product of 2.93683 and -79?
-232.00957
5277260*-3
-15831780
-20704402.1 times -0.3
6211320.63
-13099526 * -5
65497630
-7044.7*-809
5699162.3
What is -3314289 times -10?
33142890
Work out -0.069 * 185297.
-12785.493
-50814*-0.228
11585.592
-21.0754*-5
105.377
Multiply 0.0004 and -7389.9.
-2.95596
Multiply 0.032 and 7604897.
243356.704
Calculate -724*445955.
-322871420
Product of 16.2785711 and -0.2.
-3.25571422
4 times 100916.61
403666.44
Calculate -39000358*-4.
156001432
-7 * 3228135
-22596945
2.649411*-22
-58.287042
Product of 33.136342 and 0.4.
13.2545368
-0.2 times 13370615
-2674123
255.68 times -63.9
-16337.952
What is the product of -0.0199 and 0.07892?
-0.001570508
Multiply -510.332 and 0.13.
-66.34316
-9871 * -56577
558471567
132 times 23391
3087612
What is the product of -1 and -1048251?
1048251
What is -25 times -0.160021?
4.000525
What is the product of -1881061 and -0.7?
1316742.7
Calculate -366*-8623.8.
3156310.8
Multiply -50771 and -1.3292.
67484.8132
-653 times -0.029929
19.543637
Calculate -18*-98392.
1771056
Multiply 5091 and -449.
-2285859
Product of 71479 and -42.
-3002118
Work out -0.3 * -0.186041898.
0.0558125694
Calculate 10118*0.014.
141.652
Multiply -0.412478286 and -2.
0.824956572
Work out 0.4 * 23388115.
9355246
Work out 2 * 0.0171371.
0.0342742
Multiply -5149504 and 4.
-20598016
-453.51*0.205
-92.96955
What is -0.3 times -1.1242193?
0.33726579
What is 67305494 times -3?
-201916482
-106531.76*1.7
-181103.992
Work out 5.1 * 27545.
140479.5
-3 times -9.5878862
28.7636586
What is 6837 times 64878?
443570886
159.263*-102
-16244.826
Product of 108588 and -0.1111.
-12064.1268
Work out -37008 * 43.14.
-1596525.12
What is 0.52 times 4517722?
2349215.44
0.1 * -101250188
-10125018.8
Work out -0.023 * -22.5469.
0.5185787
Calculate 81.88*-52666.
-4312292.08
-5583 times -13.3193
74361.6519
-0.5*0.7528631
-0.37643155
Product of -3182 and 3013.3.
-9588320.6
25266519 times 0
0
-0.09 * -9488722
853984.98
-4407*18471
-81401697
Calculate 188806*-179.
-33796274
What is 4 times -103.23482?
-412.93928
Multiply 108056.2 and -0.3.
-32416.86
Product of 13.09223 and 2.4.
31.421352
What is -2.4 times -0.0604587?
0.14510088
Work out 1670 * 329314.
549954380
Work out 336.4893 * 0.04.
13.459572
What is -202361 times -40.64?
8223951.04
-19*0.74234
-14.10446
Calculate 0.5946*3356.
1995.4776
3.9 * -992660
-3871374
1864 * 54933
102395112
-65.662*0.0623
-4.0907426
What is the product of -348.54 and -41?
14290.14
-598 * 250746
-149946108
Calculate -17.80369*-62.
1103.82878
Calculate -13397*-10508.
140775676
15.38*438
6736.44
-4*18425636
-73702544
What is the product of 1.04 and -4.17495?
-4.341948
What is 13.78 times -126355?
-1741171.9
123.59 times -2.6
-321.334
Calculate 87332*-104.48.
-9124447.36
What is the product of -2.19457 an | {
"pile_set_name": "DM Mathematics"
} |
- 363. Calculate o(t(r)).
81*r**2 - 9801
Let f(j) = 1702*j**2. Let o(w) = 284*w. What is o(f(p))?
483368*p**2
Let k(d) = 10*d + 12. Let b(l) = 8*l + 10. Let x(j) = 6*b(j) - 5*k(j). Let g(n) = 882*n. What is g(x(i))?
-1764*i
Let t(k) = -2*k**2 + 4*k. Let l(z) = -14*z. Let q(a) = -7*a - 4*a + 12*a. Let o(y) = -l(y) - 12*q(y). Give t(o(h)).
-8*h**2 + 8*h
Let p = 16 - 22. Let k = 8 + p. Let d(r) = 2*r**k + 2*r**2 - 2*r**2. Let q(v) = 7*v**2. Give d(q(g)).
98*g**4
Let i = -13 + 40. Let p(n) = 10*n**2 + i - 5*n**2 - 27. Let s(d) = 3*d. Determine s(p(y)).
15*y**2
Let l = 5 + -3. Suppose 0 = -q + l, -3*q + 15 = 3*v + 3. Let m(j) = 0*j**2 + 0*j**v - 3*j**2. Let s(c) = 3*c**2. Determine m(s(b)).
-27*b**4
Suppose 9*b = b + 1208. Let d(x) = -5*x + b - 151. Let n(y) = -3*y**2. Calculate n(d(k)).
-75*k**2
Let v(c) = c. Let l(w) = -2735*w - 9. Calculate v(l(r)).
-2735*r - 9
Let q(w) = -3*w. Let k(y) = 358*y**2 + 46. Determine q(k(f)).
-1074*f**2 - 138
Let j(t) be the second derivative of 11*t**5/60 + 2*t**2 - 7*t. Let s(c) be the first derivative of j(c). Let r(m) = 2*m. What is r(s(o))?
22*o**2
Let i(j) = 10*j**2. Let n(u) = u**3 - 13*u**2 + 14*u - 7. Let k be n(12). Let s = 20 - k. Let c(r) = 4*r + 0*r + r - s*r. Calculate i(c(h)).
40*h**2
Let t(i) = -i**2. Let f(j) = -j**2. Let p(x) = 3*f(x) - 4*t(x). Let z(r) be the first derivative of 39*r**2/2 - 3749. What is p(z(y))?
1521*y**2
Let m(q) = -q**2. Let z(l) = -l**2 - 1. Let p(s) = 3*s**2 - 3. Let x = -63 - -62. Let i(w) = -2*w - 1. Let r be i(-2). Let o(v) = r*z(v) + x*p(v). Give o(m(d)).
-6*d**4
Suppose 3*d - 2*s = 12, 12 = 2*d + d + 4*s. Let q(v) = -132*v - 77. Let r(x) = 7*x + 4. Let u(b) = d*q(b) + 77*r(b). Let z(w) = 4*w**2. Determine z(u(j)).
484*j**2
Let b(i) be the second derivative of -i**4/12 + 905*i. Let p(k) = -1413*k**2. Give p(b(q)).
-1413*q**4
Let j(r) = -2522*r. Let a(d) = 8*d. Give a(j(g)).
-20176*g
Let h = 81 - 79. Let w(r) = 7*r**h - 10*r**2 + 5*r**2. Let u(y) = -y**2 - 38. Calculate u(w(b)).
-4*b**4 - 38
Let b(l) = -7*l**2 + 279 - 279 - 13*l**2. Let j(y) = 2*y. Give b(j(c)).
-80*c**2
Let w(c) = -234445*c**2. Let r(t) = -2*t. Give w(r(a)).
-937780*a**2
Let d(b) = 3*b - 75. Let y(n) = 9*n**2. Give d(y(k)).
27*k**2 - 75
Let c(h) = 47*h + 7. Let m(s) = -20*s - 3. Let j(o) = -3*c(o) - 7*m(o). Let i(b) be the third derivative of -b**5/20 + 13*b**4/24 - 5*b**2. Give j(i(k)).
3*k**2 - 13*k
Let d(z) = -2*z + 58. Let m(r) = r**2 - 125. Calculate d(m(p)).
-2*p**2 + 308
Let r(i) = -7*i. Let k(u) = -114*u + 317*u - 115*u - 110*u. Give k(r(h)).
154*h
Let m(n) be the third derivative of 0*n**3 + 0 - 13/24*n**4 + 0*n + 39*n**2. Let j(x) = -6*x. Calculate m(j(h)).
78*h
Let y(u) = 2*u. Let s(f) = 65207*f - 1. Determine s(y(t)).
130414*t - 1
Let t(x) = -67713*x. Let v(h) = -h**2. Determine t(v(k)).
67713*k**2
Let m(q) = 9287*q**2 - 4*q. Let n(p) = 2*p. What is m(n(i))?
37148*i**2 - 8*i
Let g(f) = -2*f + f + f + 5*f. Let b(a) = 7*a + 84. Let m(r) = 15*r + 182. Let x(y) = -13*b(y) + 6*m(y). What is g(x(j))?
-5*j
Let d(g) = -3*g**2. Let r(w) = -10*w + 2580. Calculate r(d(b)).
30*b**2 + 2580
Let l(m) = -m + 6*m - 4*m. Let c = 22 + -20. Let o(t) = -2*t**2 - 3*t**c + 6*t**2 + t**2. Determine o(l(u)).
2*u**2
Let d(l) = -l. Let n(g) = 66*g - 2. Let s(j) = 4*j. Let a(b) = -n(b) + 4*s(b). Determine a(d(q)).
50*q + 2
Let x be (-1)/((0 - 21/(-11)) + -2). Let b(p) = 19 + 12 - x*p - 27. Let r(j) = j**2. Give r(b(l)).
121*l**2 - 88*l + 16
Let v(l) = 47*l**2. Let p(b) be the first derivative of -b**2/2 + 22. What is v(p(y))?
47*y**2
Let f(w) = 9*w. Let y(u) be the second derivative of 5*u**3/3 - u - 2. Determine f(y(g)).
90*g
Let k(j) = 31*j - 2. Let a(m) = -1838*m. Determine a(k(h)).
-56978*h + 3676
Let y(f) = 2*f**2. Let i(r) be the first derivative of -17*r**4/6 - 33*r - 22. Let n(l) be the first derivative of i(l). What is y(n(q))?
2312*q**4
Let y(o) = 7*o**2. Let a(t) = 9*t**2 + 18*t. Let x(d) = 26*d**2 + 51*d. Let n(v) = -17*a(v) + 6*x(v). What is n(y(j))?
147*j**4
Let f(r) = -r**2. Let n(j) = 1063866*j - 2524. Let k(o) = 1265*o - 3. Let i(m) = 2524*k(m) - 3*n(m). Give i(f(h)).
-1262*h**2
Let d(c) = 87*c. Let v(u) = 47*u**2. Calculate d(v(o)).
4089*o**2
Let k(i) = i. Let s(j) be the second derivative of -31*j**4/6 - 7*j + 32. Determine k(s(h)).
-62*h**2
Let q(w) = w. Let n(j) = 5*j**2 + 2 + 3 - 2*j**2 + 2. Let d(v) = 3*v**2 + 6. Let z(b) = -2*b - 2. Let g be z(-4). Let i(u) = g*n(u) - 7*d(u). Determine q(i(r)).
-3*r**2
Let b(j) be the first derivative of -21*j**2/2 + 370. Let i(n) be the second derivative of n**3/6 - 2*n. Determine b(i(l)).
-21*l
Let x(t) = 2*t**2. Let j(p) = -5*p**2 + 6. Give j(x(b)).
-20*b**4 + 6
Let x(h) = -3*h. Let v(u) = -257599*u. Calculate v(x(f)).
772797*f
Let x(r) be the second derivative of -r**3/6 - 126*r. Let d(c) = 123*c. Calculate d(x(y)).
-123*y
Let a(v) = 34 + 9 - 43 - 3*v. Let r(k) = 27*k. Calculate r(a(q)).
-81*q
Let p(y) = 2*y. Let t(j) = j**3 - 23*j + 5. Let v be t(5). Let z(d) = -v*d**2 + 3*d**2 + 9*d**2 + 49*d**2. Determine p(z(g)).
92*g**2
Let f(h) = -78*h**2 - 72*h - 36. Let z(d) = -11*d**2 - 10*d - 5. Let w(t) = 5*f(t) - 36*z(t). Let m(i) = i. Calculate m(w(r)).
6*r**2
Let v(k) = 12*k. Let x(g) = 4*g + 1. Let z(r) = -170*r - 34. Let f(j) = -34*x(j) - z(j). What is v(f(t))?
408*t
Let n(j) = j**2. Let y(i) = 306100*i**2. What is y(n(g))?
306100*g**4
Let k(r) = -r. Let x(a) = a**3 - 7*a**2 + 6*a - 7. Let p be x(7). Let c(y) = -35 - 37*y**2 + 70 - p. Calculate c(k(s)).
-37*s**2
Let f(r) = 4*r. Let x(q) = -30*q**2 - 2*q + 1. Let v(w) = 30*w**2 + 3*w - 2. Let h(y) = -2*v(y) - 3*x(y). Give f(h(c)).
120*c**2 + 4
Let o(y) = y + 4. Let j(w) = 32*w + 96. Let r(c) = -j(c) + 24*o(c). Let d(b) be the first derivative of b**2/2 + 1. Determine r(d(q)).
-8*q
Let k(l) = 15*l. Let o(x) = -505*x + 22. Calculate o(k(v)).
-7575*v + 22
Let y(h) be the second derivative of h**6/240 - 5*h**4/6 + 6*h. Let f(u) be the third derivative of y(u). Let i(n) = n**2. Determine i(f(o)).
9*o**2
Let p(s) = 3*s**2. Let a(h) = 9*h**2 + 8*h - 4. Let k(q) = -10*q**2 - 7*q + 3. Let i(w) = -3*a(w) - 4*k(w). Determine i(p(v)).
117*v**4 + 12*v**2
Let t(k) = 10*k**2 + k - 6. Let g(y) = -y. Calculate t(g(a)).
10*a**2 - a - 6
Let f(i) = -14*i**2 - 6*i**2 + 21*i**2. Let t(r) = -17*r. Let s(k) = -84*k. Let c(n) = 5*s(n) - 24*t(n). Calculate c(f(g)).
-12*g**2
Let k(j) be the third derivative of j**4/24 - 2*j**2. Let g(m) = -3*m. Let y(b) = -8 + 8 + 0 + 13*b. Let p(v) = -18*g(v) - 4*y(v). What is k(p(o))?
2*o
Let h(n) = -441*n - 105. Let v(s) = -17*s - 4. Let m(j) = 4*h(j) - 105*v(j). Let g(z) be the second derivative of z**4/6 + 15*z. What is g(m(b))?
882*b**2
Suppose -j + 99 = -0*h - 3*h, 3*j - 289 = 5*h. Let a(r) = -43*r**2 + j*r**2 - 52*r**2. Let n(q) be the third derivative of q**5/60 - 7*q**2. Give n(a(x)).
4*x**4
Let t(x) = -11*x - 14191. Let a(i) = 2*i. Determine t(a(l)).
-22*l - 14191
Let w(d) = 4*d + 2*d**2 - d - 3*d**2 + 3*d. Let j(r) be the first derivative of -2*r**3/3 - 568. What is w(j(n))?
-4*n**4 - 12*n**2
Let l(b) = 78853*b. Let g(m) = m. Calculate l(g(y)).
78853*y
Let x(c) = -2*c**2 + 4*c**2 - 3*c**2 + 4*c**2. Let i(f) = 28*f - 16. Let m(s) = -9*s + 5. Let u(t) = 5*i(t) + 16*m(t). Determine u(x(n)).
-12*n**2
Suppose 0 = -2*p + 3*a + a - 4, 2*a - 6 = 0. Let n be ((-8)/p - -8)/1. Let v(m) = -n*m + 4*m + 3*m. Let t(j) = 3*j**2. Determine t(v(r)).
3*r**2
Let g(a) = 325*a. Let r(k) be the first derivative of k**2 + 244. Calculate g(r(d)).
650*d
Let d(q) = 169*q**2 - 89*q**2 - 90*q**2. Let c(u) = 5*u. Calculate d(c(k)).
-250*k**2
Let l(o) = -2*o**2. Let m(y) be the second derivative of 0*y**2 - 19/12*y**4 + 0 + 0*y**3 - 13*y. Give m(l(a)).
-76*a**4
Let d(v) = 9*v - 3. Let x(z) be the first derivative of -z**2/2 + 65. Give d(x(i)).
-9*i - 3
Let i(f) = -41*f. Let v(x) = -2*x + 4. Let l be (-7 - -1)*-1*10/(-15). Let y(p) = -p + 1. Let u(t) = l*y(t) + v(t). What is u(i(g))?
-82*g
Let p(z) = 71*z**2 - 4*z. Let v(f) = -62*f. What is p(v(x))?
272924*x**2 + 248*x
Let s(d) = -6*d. Suppose -4*b = 4*o - 20, 0*o - 15 = b - 3*o. Let i(v) = 4*v - 4*v + 2*v + b*v. Determine s(i(n)).
-12*n
Suppose 0 = -11*i + 10*i + 2. Let v(g) = 5 - 4*g**i + g**2 - 5. Let q(s) = -3*s + s + 4*s. What is v(q(n))?
-12*n**2
Let m(l) = 5*l. | {
"pile_set_name": "DM Mathematics"
} |
nd 819?
63
Calculate the highest common factor of 67517 and 141347.
107
Calculate the highest common factor of 138914 and 34.
2
What is the greatest common factor of 6377 and 29152?
911
Calculate the highest common divisor of 4615 and 49244.
13
Calculate the highest common factor of 7856 and 9997424.
16
What is the greatest common factor of 15947406 and 90?
18
What is the highest common divisor of 7395 and 375855805?
2465
Calculate the highest common factor of 2198560 and 182728.
728
Calculate the greatest common divisor of 807 and 111993308.
269
Calculate the greatest common divisor of 736115 and 724178.
3979
Calculate the greatest common divisor of 24586 and 186542.
38
What is the greatest common divisor of 64 and 8794856?
8
Calculate the highest common factor of 165 and 10752800.
5
What is the greatest common divisor of 388290 and 36959790?
9030
What is the greatest common divisor of 13019660 and 355?
5
What is the greatest common factor of 24969130 and 7930?
610
Calculate the highest common factor of 777267 and 3015.
603
Calculate the greatest common factor of 381095 and 6002810.
2255
What is the highest common factor of 10976 and 72096?
32
What is the greatest common factor of 238446 and 231894?
234
What is the greatest common divisor of 1518411 and 82679?
29
Calculate the greatest common factor of 60 and 4565620.
20
Calculate the greatest common factor of 33481485 and 135.
135
Calculate the greatest common divisor of 12 and 1957026.
6
What is the greatest common divisor of 22400 and 82048?
128
What is the greatest common divisor of 387873 and 321417?
639
What is the highest common factor of 4245 and 551899525?
1415
Calculate the greatest common divisor of 36403675 and 105.
35
Calculate the greatest common factor of 728166 and 19048266.
4638
What is the highest common factor of 31107 and 53?
1
Calculate the greatest common divisor of 4134438 and 34650.
1386
Calculate the greatest common factor of 386 and 1415960.
2
What is the highest common factor of 1 and 33082583?
1
What is the greatest common divisor of 8134777 and 427?
427
What is the greatest common factor of 1616 and 2140493?
101
Calculate the greatest common divisor of 190414 and 9506.
98
What is the greatest common factor of 111322217 and 1418?
709
Calculate the greatest common factor of 246 and 202944998.
82
What is the highest common factor of 67440 and 5865?
15
What is the highest common divisor of 11658563 and 70?
7
What is the greatest common factor of 123036378 and 4?
2
What is the highest common divisor of 1752586911 and 6282?
3141
Calculate the highest common factor of 93454057 and 1550.
31
Calculate the highest common factor of 795 and 165721407.
159
What is the greatest common divisor of 11154 and 13122?
6
Calculate the highest common factor of 139760 and 4560.
80
What is the highest common divisor of 126 and 8406657?
63
What is the greatest common factor of 11152 and 488720?
656
Calculate the greatest common factor of 11661 and 9356178.
507
What is the greatest common factor of 8050 and 80462050?
1150
Calculate the greatest common factor of 238 and 808930703.
119
Calculate the greatest common factor of 311436330 and 138.
138
Calculate the greatest common factor of 97 and 16438.
1
What is the highest common factor of 8368 and 36545671?
523
Calculate the highest common divisor of 1284 and 31963468.
428
Calculate the greatest common factor of 22322133 and 141.
141
Calculate the highest common factor of 264185809 and 37.
37
Calculate the greatest common factor of 32 and 315380944.
16
What is the highest common divisor of 304 and 2012176?
304
Calculate the highest common divisor of 8988 and 33393416.
2996
What is the highest common divisor of 354 and 9727743?
177
Calculate the greatest common factor of 33533493 and 32333.
1043
Calculate the highest common divisor of 999 and 38068005.
111
What is the greatest common divisor of 5051470 and 12840?
1070
What is the greatest common factor of 135 and 1521540?
45
Calculate the greatest common divisor of 410 and 23947895.
205
What is the greatest common divisor of 6792 and 10449492?
3396
Calculate the greatest common factor of 20683 and 128245.
13
Calculate the highest common factor of 4594 and 848.
2
What is the greatest common factor of 105206 and 9922?
82
Calculate the highest common divisor of 777211 and 1647043.
4027
What is the highest common factor of 72820 and 142661?
331
Calculate the greatest common factor of 29299154 and 610.
122
What is the highest common divisor of 1907103425 and 25?
25
Calculate the highest common divisor of 462676936 and 16.
8
What is the highest common divisor of 1820818 and 138?
46
Calculate the highest common divisor of 50 and 6947090.
10
Calculate the greatest common factor of 481 and 12066847.
481
Calculate the greatest common divisor of 382694 and 858622.
82
What is the greatest common factor of 2678882 and 686?
2
Calculate the greatest common divisor of 7733 and 3235909.
703
What is the highest common divisor of 28 and 28245588?
28
What is the highest common divisor of 70192 and 204156?
428
Calculate the greatest common factor of 11207408 and 976.
976
Calculate the highest common factor of 30900816 and 288.
144
What is the highest common divisor of 7497770 and 23380?
70
Calculate the highest common divisor of 12 and 234714156.
12
What is the highest common divisor of 4579 and 1817647787?
4579
What is the highest common divisor of 52180410 and 390?
30
What is the highest common factor of 436095 and 8547?
33
Calculate the greatest common factor of 5880514 and 2356.
62
What is the highest common factor of 24919320 and 240?
120
Calculate the greatest common divisor of 22223 and 22.
1
Calculate the greatest common factor of 4479098 and 1768.
26
Calculate the greatest common factor of 121817 and 9246110.
1997
Calculate the greatest common factor of 1815 and 187755.
15
What is the highest common factor of 96381633 and 1332?
111
What is the highest common factor of 9217943 and 961534?
2779
Calculate the greatest common divisor of 59530736 and 17168.
464
What is the highest common divisor of 42778 and 19126?
146
What is the greatest common factor of 41688 and 17927577?
1737
Calculate the highest common factor of 736 and 263214760.
184
What is the highest common divisor of 104 and 21013044?
52
What is the greatest common factor of 540751549 and 1846?
923
What is the highest common factor of 19285 and 400463?
133
Calculate the highest common divisor of 260 and 1908100.
20
Calculate the highest common divisor of 168 and 42012744.
24
Calculate the highest common divisor of 12935 and 79105.
65
What is the highest common factor of 82680627 and 155?
31
Calculate the greatest common divisor of 1116 and 10083708.
36
What is the highest common factor of 1961009 and 247?
19
What is the greatest common factor of 2690748 and 30873?
123
Calculate the highest common divisor of 2599 and 9491096.
113
Calculate the highest common divisor of 301 and 73635006.
43
What is the highest common divisor of 874621 and 1541?
23
Calculate the greatest common factor of 371982 and 34086.
1482
Calculate the greatest common divisor of 28753197 and 167442.
1419
Calculate the highest common factor of 6800 and 31225175.
425
Calculate the highest common factor of 2961 and 394236.
423
What is the highest common divisor of 458445180 and 11754?
3918
Calculate the highest common divisor of 1897 and 106251241.
271
Calculate the greatest common divisor of 172 and 31647269.
43
Calculate the greatest common factor of 867 and 199531176.
51
Calculate the highest common factor of 74224 and 104.
8
What is the highest common factor of 12313578 and 9018?
1002
Calculate the highest common factor of 1011 and 12635141.
337
What is the greatest common factor of 1450 and 326026700?
1450
What is the highest common factor of 4511 and 5083203?
347
What is the greatest common divisor of 191 and 11110661?
191
What is the highest common divisor of 4962663 and 9?
9
What is the highest common divisor of 1672 and 13045153?
209
Calculate the highest common factor of 16999 and 54244.
191
Calculate the greatest common divisor of 6750567 and 116964.
513
What is the greatest common divisor of 4931800 and 1380?
20
Calculate the greatest common factor of 3604095 and 3 | {
"pile_set_name": "DM Mathematics"
} |
value? (a) 4 (b) -3/23 (c) -1171 (d) -2/15
c
Which is the smallest value? (a) -2 (b) -2/13 (c) 4 (d) 102/11 (e) -0.4 (f) -14/31
a
Which is the biggest value? (a) 1/2 (b) 0.2 (c) 51.029
c
Which is the fourth smallest value? (a) 0.079 (b) -11/3 (c) 0.4 (d) 4/9 (e) 0.1
c
Which is the biggest value? (a) -2/3 (b) 35 (c) -3/2 (d) 22559
d
Which is the fourth smallest value? (a) -15 (b) -1/4 (c) 1/262 (d) -5
c
What is the fourth biggest value in -1/4, 175, 0.2, 0.5, -1/6, -0.08?
-0.08
Which is the second biggest value? (a) 22296 (b) -22 (c) 1/2
c
Which is the sixth biggest value? (a) 4 (b) -0.1 (c) 0.02 (d) 38 (e) -3 (f) 0.21
e
What is the second biggest value in -0.071366, -0.2, 17?
-0.071366
Which is the third biggest value? (a) -4 (b) -2/19 (c) -0.7 (d) -2/15 (e) 17/2
d
What is the fourth biggest value in -1/5, -60, 3/23, 0.3, 1/3, -0.9?
-1/5
What is the third biggest value in 3, -77.13, -5?
-77.13
What is the third biggest value in 0, 4, 0.5, 3/10, -0.2, -736?
3/10
Which is the smallest value? (a) -4 (b) -2.4 (c) -12 (d) 2/7
c
Which is the second biggest value? (a) -0.5 (b) 4 (c) -5/2 (d) -3 (e) -0.257
e
Which is the third biggest value? (a) -0.5 (b) 0 (c) -310.1 (d) -1 (e) -4 (f) -1/3
a
What is the third smallest value in -1, -567, 12, 2?
2
Which is the biggest value? (a) -0.2 (b) -3 (c) 1334 (d) 0.24 (e) -8
c
What is the second smallest value in 10/39, -1038, 0, -1/11?
-1/11
Which is the biggest value? (a) -1 (b) 2/21 (c) 2/3 (d) -0.1 (e) -2.2
c
What is the second smallest value in 1/3, -5/453, -0.2, -4, -5?
-4
What is the third smallest value in -9.89, 5, -65, -0.5, -2?
-2
What is the biggest value in 2/7, -4, -1/3, 52721?
52721
Which is the third smallest value? (a) 2 (b) -4 (c) 1.9 (d) 1/6 (e) 1/5 (f) 280
e
Which is the fourth biggest value? (a) 0.8 (b) 1/9 (c) -42/101 (d) 1/8
c
Which is the biggest value? (a) -81 (b) 4 (c) -1/4 (d) 93
d
Which is the fourth smallest value? (a) -4 (b) -3/1502 (c) 4 (d) -17 (e) -0.4
b
What is the biggest value in -3/7, 1/6, 0.4, 2, 571, 4?
571
What is the smallest value in -0.1262, -0.2, 0.8, 2/11, -3/5?
-3/5
What is the fifth smallest value in 4, -0.1, -2/3, 33.1, -0.5?
33.1
What is the fifth smallest value in -2/11, 7, 2/17, -2, 9?
9
Which is the smallest value? (a) -0.1 (b) 0.02 (c) -13.682
c
What is the second smallest value in 2, 27.97, -1/5?
2
Which is the third smallest value? (a) -0.3 (b) -1 (c) -11/5 (d) 28
a
Which is the fourth smallest value? (a) -218 (b) -4 (c) -1/3 (d) -1.6 (e) 5
c
Which is the second biggest value? (a) -1/17 (b) 2 (c) -0.03 (d) 0.2
d
Which is the second smallest value? (a) -898 (b) 3 (c) 1/5 (d) 1/38
d
Which is the third smallest value? (a) -18 (b) 4471 (c) 0.5
b
Which is the third biggest value? (a) -2.9 (b) 0 (c) -0.2 (d) 3 (e) 5 (f) -153
b
What is the second biggest value in -4, 0.2, 0, -1/9, 1/44?
1/44
What is the second biggest value in 0.04, -28, -2?
-2
What is the biggest value in -3, 6/7, -60?
6/7
What is the third biggest value in 1, -2.1, -0.5, -0.2, -9, -6?
-0.5
What is the third biggest value in 20, -0.3, 0.3, 0.05?
0.05
Which is the biggest value? (a) -4 (b) 4 (c) 1 (d) -2 (e) -6.18
b
Which is the second biggest value? (a) 0.2 (b) 0 (c) 2/23 (d) -0.094
c
What is the fourth smallest value in 1, -4, -39, -2/11, -2/9?
-2/11
What is the second smallest value in 0, 7, -5007?
0
What is the third biggest value in 15, -120, 2, 2/3?
2/3
What is the sixth biggest value in -0.2, -830, 0.05, -4, 0.3, 0.1?
-830
What is the second biggest value in 1/334, -12, -11, 3, 3/2?
3/2
Which is the fourth smallest value? (a) 1/4 (b) 5 (c) -19 (d) 0.07 (e) -1
a
What is the fifth biggest value in 13, -0.54, -2, 0.4, -4, -1?
-2
What is the fourth smallest value in 5, 1.2, 4, 0.3, -243?
4
What is the fifth biggest value in -0.5, -2/7, 11.4, -0.4, -1/5?
-0.5
Which is the second smallest value? (a) 9283 (b) 3 (c) -8
b
What is the third biggest value in -26, 0, -2/147, 0.5?
-2/147
What is the smallest value in -1, -49, 0.062?
-49
Which is the biggest value? (a) -5/344 (b) 1/2 (c) 0.35 (d) -5
b
What is the fifth biggest value in 1/8, 0.5, -43.62, 2/5, 4, -3?
-3
What is the second smallest value in 0, 0.03, 0.071, -5, 3, -1/4?
-1/4
Which is the second biggest value? (a) -9 (b) 4 (c) 0.009 (d) -1
c
What is the third smallest value in -370, 0.28, -3?
0.28
Which is the smallest value? (a) -0.28 (b) -4830 (c) 0 (d) -1
b
What is the second biggest value in -9768, -4, 0.5?
-4
Which is the fourth smallest value? (a) -2 (b) 1/7 (c) 0.1091 (d) 1/4
d
What is the fifth smallest value in 5, 1/5, 4, 2.7, 1/7?
5
Which is the fourth smallest value? (a) 3/5 (b) -3 (c) 3293/6 (d) 2/13
c
Which is the second smallest value? (a) -3473 (b) -16 (c) -1/31
b
Which is the second biggest value? (a) -32 (b) 1 (c) -0.006 (d) -0.1
c
Which is the biggest value? (a) -1.21 (b) -0.008 (c) 22
c
Which is the fourth biggest value? (a) -3/4 (b) 3/2 (c) 5/6 (d) -11 (e) -8
e
Which is the smallest value? (a) -1/3643 (b) 0 (c) -2
c
Which is the smallest value? (a) 809 (b) 7/3 (c) -5
c
Which is the third biggest value? (a) -1 (b) 0 (c) 636 (d) -3 (e) -1/4 (f) 4/3
b
What is the third smallest value in -1/5, -140, -1/4, -281?
-1/4
Which is the sixth smallest value? (a) 1.5 (b) 0 (c) -2/17 (d) -878 (e) -4 (f) 5
f
Which is the second smallest value? (a) 3 (b) 0.067 (c) 1
c
Which is the fifth smallest value? (a) 0.07 (b) 46 (c) 1/8 (d) 4/9 (e) -1 (f) -4
d
What is the second biggest value in 0.6, 312/47, -3?
0.6
What is the second smallest value in 46, -7/3, -26, 0.5, -3/4, -2?
-7/3
Which is the fourth biggest value? (a) 0.5 (b) -3 (c) -3/4 (d) 139
b
What is the fourth smallest value in -11/4, 2.81, 2/5, 4?
4
Which is the second biggest value? (a) 2 (b) -695/6 (c) 2/7 (d) -12
c
Which is the smallest value? (a) -5 (b) 155 (c) -4 (d) -0.1 (e) 171 (f) 0.1
a
What is the third smallest value in -31/4, 4, -117, -0.1?
-0.1
What is the smallest value in 9, -0.3, -0.08397?
-0.3
What is the third smallest value in -98, 4/7, 0, -5, -0.7?
-0.7
Which is the second biggest value? (a) -0.5 (b) 1 (c) -3/28 (d) -2/43 (e) -80/11
d
What is the fourth biggest value in 5/7, 1/3, -1/3, -0.5?
-0.5
What is the second smallest value in -2/3, -4, 4/5, 1, -333?
-4
What is the biggest value in 1/11, -2.1, 3/35, 1/8, 5/3, -1/3?
5/3
What is the fifth biggest value in -2, 4, -2/21, 795, 5?
-2
Which is the biggest value? (a) -1/61 (b) -1 (c) -0.1 (d) -2/13 (e) 0.4
e
What is the biggest value in -1/3, -3, 59, 5?
59
What is the biggest value in -20/87, 89, -2?
89
What is the third biggest value in -195/8, 0.2, 7, 2, 0.1?
0.2
What is the third smallest value in 0.009, -6, -1, -3/4, 0.6, -0.4?
-3/4
Which is the fourth biggest value? (a) 5 (b) 2/27 (c) -3849 (d) 2/19
c
What is the smallest value in -1, -3720, -1/7?
-3720
What is the third smallest value in 9.6, -4, -3, -0.18?
-0.18
Which is the second biggest value? (a) -2/7 (b) 3 (c) -0.68 (d) -325
a
What is the biggest value in 4, 4.24, 386?
386
Which is the fourth smallest value? (a) 0 (b) -7 (c) 1/3 (d) -1/15 (e) -2
a
Which is the third biggest value? (a) 3/17 (b) 0.037 (c) -238
c
What is the third smallest value in 5, 685, -0.1?
685
Which is the biggest value? (a) 10.656 (b) -33/2 (c) -3
a
Which is the fourth smallest value? (a) -59 (b) 1 (c) -0.2 (d) -4/3 (e) -1.6
c
Which is the second smallest value? (a) 2/15 (b) 4 (c) -5 (d) -101 (e) 1/6
c
What is the third smallest value in 2, -35, 12?
12
Which is the third smallest value? (a) -14 (b) -8 (c) 1 (d) -3/86
d
Which is the third smallest value? (a) 5 (b) 2/5 (c) -1.37 (d) -61 (e) -0.2
e
What is the second biggest value in -1, 6, -6659?
-1
What is the second biggest value in 5/3, 0.06, 1/458, 0.4?
0.4
Which is the smallest value? (a) 6 (b) 0.02 (c) -3386 (d) -4
c
Which is the biggest value? (a) 0.2 (b) 27/8 (c) 1/4 (d) 3
b
What is the biggest value in 5/8, -4, 8, 1/4?
8
Which is the third biggest value? (a) -1.34 (b) 20.2 (c) 1/10 (d) -1 (e) -2/5
e
What is the second biggest value in 1/5, -41, 104/11?
1/5
Which is | {
"pile_set_name": "DM Mathematics"
} |
is the third biggest value in -0.1, j, o?
o
Let s = -0.5 + -0.5. What is the biggest value in -5, s, -2/9?
-2/9
Suppose -4*g + 72 = -3*k - 7, 4*k - 4*g = -100. Let u = -24 - k. Which is the biggest value? (a) 1 (b) u (c) -4
a
Let z be ((-4)/10)/(4*5/(-50)). Which is the fourth smallest value? (a) z (b) 1/4 (c) 3 (d) -1
c
Let n = -7/12 + 25/12. Let c(q) = q**3 - 3*q**2 - q + 1. Let o be c(2). Let b = 1300/11 - 118. What is the second biggest value in n, b, o?
b
Let h = 376.01 + -379. Let v = h - 0.01. Suppose -9 = -3*n + 3. What is the smallest value in v, -5, n?
-5
Suppose 4*c + 4*x + 4 = 0, 3*x + 9 = -0*x. Let d = -893/5 + 178. What is the smallest value in d, c, -4?
-4
Let j = 0.7 - -4.3. Let m = 5.2 - j. Which is the second smallest value? (a) 3 (b) 0.5 (c) m
b
Suppose -4*t = -5 - 11. Let s be -1 + (-6)/(-2 + 1). What is the third biggest value in 0, t, s?
0
Suppose -3*f - 7 = 11. What is the biggest value in f, -4, -3?
-3
Let j = -0.7 - -0.2. Let d(l) = -l**2 - 4*l + 8. Let q be d(-6). Let n = -825/8 + 103. Which is the second biggest value? (a) j (b) n (c) q
a
Let q be (-2)/14 - (-2)/7. Let f be (-9)/(-24)*(-2)/(-3). Which is the smallest value? (a) q (b) 1/3 (c) f
a
Let x = 0.5 - 1. Let z be 3 - 1 - 247/96. Let n = 3/32 - z. What is the smallest value in -3/4, x, n?
-3/4
Let h be ((-16)/(-12))/((-4)/(-42)). Let f = -9 + h. Which is the second biggest value? (a) f (b) -4/9 (c) 1/4
c
Let s = 3 - 2. Let z(l) = -l + 5. Let x be z(0). What is the third smallest value in x, 1/2, s?
x
Let g be 3/(-2 - (-29)/15). Let d be 10/g - (-29)/9. Which is the second smallest value? (a) 4/3 (b) d (c) -1
a
Let g = -32 + 37. What is the third smallest value in g, -9, 2/11?
g
Let f = -6 + 8. What is the biggest value in -4, 5, -1/6, f?
5
Let s = 0.12 - 0.19. Let i = 0.03 - s. What is the third smallest value in 0.2, 4, i?
4
Let n = -0.2 - -0.13. Let o = n + 0.16. Let v = 4.91 + o. Which is the third smallest value? (a) -0.3 (b) 3/5 (c) v
c
Suppose 6*l - 6 = 3*l. Let d = 0.5 + -2.5. Which is the third biggest value? (a) l (b) d (c) -1
b
Let g = 643 - 2573/4. Let m = -7.3 + 12. Let q = 0.3 + m. Which is the second biggest value? (a) g (b) 2/15 (c) q
b
Let k = 0.2 + -0.7. Suppose 5*s + 0*s + 40 = 0. Let t = -6 - s. What is the third biggest value in k, 1/7, t?
k
Let d = -0.39 - -0.29. Suppose p - 5*p = 5*y - 17, -y - 3 = 4*p. Which is the second smallest value? (a) 0 (b) p (c) d
c
Let o = 17 + -17.1. What is the biggest value in -1, o, 5, 0?
5
Let d = 1.6 - 1.8. Let j be 2/(-7) + (-8)/70. Which is the third smallest value? (a) j (b) 1 (c) d
b
Let q = -8.06 + 8. Let u = -0.36 - q. Let m = 0.1 + u. What is the smallest value in 0.2, -4, m?
-4
Let x be (-440)/210 - (-4)/(28/3). Which is the third biggest value? (a) x (b) -2/11 (c) -2/19 (d) -1/6
b
Let y be -5*-1*4/(-5). Let n = 1 + y. Which is the third biggest value? (a) 1 (b) n (c) 0.04
b
Let t be ((-8)/60*5)/(1/(-1)). What is the second smallest value in -0.1, t, -1.2?
-0.1
Let x(o) = -o**2 + 4*o + 7. Let d be x(6). Let r = 6 - 8. Let c = d - r. What is the smallest value in c, 3, 2/3?
c
Let x = -0.15 - 10.85. Let v = -13 - x. Which is the biggest value? (a) 2 (b) 3 (c) v
b
Let c be 77/33*(-4)/14. Let j = -4 - -3.5. What is the second biggest value in c, j, 2?
j
Let f = -5 - -1. Suppose 5*x + 5*d = -0*x + 45, 8 = 2*x + 4*d. Let i be ((-4)/33)/(x/21). Which is the second biggest value? (a) i (b) f (c) 2/11
a
Suppose 3*h + 126 = 4*f, 2*f - 4*h - 68 = -0*h. Let p = -3 - -2. Let g be p/2*12/f. Which is the third smallest value? (a) 3 (b) 4 (c) g
b
Let s = -353/6 + 59. Which is the biggest value? (a) -2.6 (b) 0.4 (c) s
b
Let z = 123 - 56. Let w = -61.6 + z. Let r = w + -0.4. What is the smallest value in -2/7, 4, r?
-2/7
Suppose k + 9 = -0*u + 5*u, 3*u = k + 5. Let o = -28 - u. Let h be 8/o - (-8)/(-20). Which is the third smallest value? (a) h (b) 2/5 (c) -1/3
b
Let z = -0.9 - -1. Let r = 184.8 - 185. What is the biggest value in z, r, -0.1?
z
Let f = 3 - 8. Let z = 14/11 - 64/33. Which is the third smallest value? (a) f (b) z (c) -1
b
Let a = -45/4 + 23/2. Let u = 4 + 0. Let k be (2/12)/(3/u). What is the third smallest value in k, a, 0.1?
a
Suppose 7*g - g + 108 = 0. What is the third biggest value in -4/7, 3/7, g?
g
Let k be (-6 + 5)*8/68. Which is the fourth smallest value? (a) k (b) 2 (c) 4 (d) 5
d
Let n = -2 + 1.9. Let s = 1.1 + n. Let y = -49 - -46. Which is the third smallest value? (a) y (b) -0.4 (c) s
c
Let l be ((-2)/(-10))/(0 + 35/25). Let y = -1 - 0. Which is the second biggest value? (a) l (b) y (c) -6
b
Let w = -0.07 - 0.03. Let p = -2 - -2. Let d = 0 - p. Which is the smallest value? (a) 2/3 (b) w (c) d
b
Let l(r) = r**3 + 4*r**2 + 4*r + 2. Let s be l(-2). Let d be (-1 + -2 + 2)*s. Let x = 3 + -6. What is the second smallest value in d, 0.4, x?
d
Let o = 15.9 - 10.9. Which is the second biggest value? (a) 0.5 (b) 3 (c) o (d) -9
b
Let y = -40 + 44. What is the second smallest value in 0, y, 2/7?
2/7
Let u = -11.2 - -13.2. Which is the biggest value? (a) -4 (b) u (c) -3 (d) -0.1
b
Let n be 2/8*(1 + 0). Let b = 0.26 + -0.5. Let j = b - -3.24. What is the second smallest value in j, -3, n?
n
Suppose 6*j = 4*j + 8. Suppose -2 = j*q + 10. Which is the biggest value? (a) q (b) -2/11 (c) 1
c
Let w = 65/2 + -32. Suppose -2*g - 3*k - 43 = 2*g, -2*k = -3*g - 11. Let x be (-16)/g + 4/(-14). What is the second biggest value in x, w, 2/13?
w
Let v = -5.1 + 0.1. Let p = 4.1 + -0.6. Let m = p + -0.5. What is the second smallest value in v, 3/2, m?
3/2
Let h = -73 - -71. Let r be -2 + 0 + 36/19. Which is the second smallest value? (a) 5 (b) h (c) r
c
Let x = 3 + -3.04. Which is the second smallest value? (a) -0.1 (b) -0.5 (c) x
a
Let o = 7.2 - 7. Let z = 3.71 - -0.29. What is the third smallest value in z, -3, o?
z
Suppose -868 = 13*z + z. Which is the smallest value? (a) 5 (b) -0.3 (c) z
c
Let o be (-9)/(-15) + -3 + 2. Let k = -0.5 - -0.2. What is the second biggest value in k, o, -0.5?
o
Let b(h) = -h**2 + 4*h - 2. Let k be b(3). Let m = k - -3. What is the third biggest value in 0.2, 2, m?
0.2
Suppose -v + 6 = 2*q + 2, -8 = -4*q - 4*v. What is the smallest value in 0.4, q, 4?
0.4
Let w = -2.3 - -0.3. Let s be (-4)/8*56/21. Which is the second smallest value? (a) w (b) s (c) -3
a
Let m = 158.95 + -159. What is the biggest value in m, -1/3, -3/2, 2?
2
Let k = 145/4 + -37. Let w = -742/3 - -248. Which is the third biggest value? (a) w (b) k (c) -1/7
b
Let r = -195/707 + -1/101. Suppose 17 = 11*o - 16. Which is the second biggest value? (a) o (b) r (c) 0.5
c
Suppose -5 = k - n, 0 = -3*k - 5*n + 1 - 8. Which is the smallest value? (a) k (b) 2 (c) 0.2
a
Suppose -3*h = 4 - 10. Which is the biggest value? (a) -3 (b) h (c) -2/7
b
Let a = 1/34 - 26/17. What is the third biggest value in -2, 4/5, a?
-2
Let p = 20.01 + -20. What is the second smallest value in p, 3, 0.5?
0.5
Let j = 4.83 + 0.17. What is the biggest value in 3/8, -3/4, j?
j
Let q = 3.3 - 4.3. Let p(r) = r + 1. Let o be p(4). Suppose -8 = -x - 5. Which is the second biggest value? (a) x (b) q (c) o
a
Let h = 90 - 97. What is the smallest value in h, -1/5, 1/3?
h
Let b = 57 - 59. What is the third smallest value in -1/2, b, -0.2?
-0.2
Let v = 205 + -207. What is the third smallest value in v, 4, 10, -1/8?
4
Let h = 367 + -367.3. Suppose -2*m = s - m - 35, 3*m + 119 = 4*s. Suppose -5*u + s = 4*o, 2*u + 2 = -2*o + 4*u. What is the second biggest value in o, h, -2/3?
h
Let d = -4.1 - -0.1. What is the second smallest value in 0.4, 3, d?
0.4
Let f = -3.6 + 0.6. Let b be (-3 - -1)*1/2. What is the third biggest value in -0.2, b, f?
f
Let s = 12 - 14. What is the smallest value in s, -0.5, -5/3, -0.3?
s
Let a = 102 + -110. What is the third smallest value in -1, a, 4, 4/5?
4/5
Let s = 5 - 5. Let h be 1/5 + 493/810. Let d = -2/81 - h. Which is the third biggest value? (a) d (b) s (c) 3
a
Let o = 5.8 + -6. Let y = o + -0.2. Which is the second biggest value? (a) y (b) -4 (c) -1/4
a
Suppose -2*m + 11 = v, 0 = -m - 0*v + 3*v + 2. What is the biggest value in 2/19, 4/5, m?
m
Let l = -541/10 - -272/5. Let w = l - -11/30. Let m = -0.325 - -0.025. Whic | {
"pile_set_name": "DM Mathematics"
} |
.
2*c*(c - 2233)*(c + 39)
Factor -2*s**4/5 + 948*s**3 - 14208*s**2/5 + 14204*s/5 - 4734/5.
-2*(s - 2367)*(s - 1)**3/5
Solve -j**5 + 51*j**4 - 141*j**3 - 155*j**2 + 534*j - 288 = 0 for j.
-2, 1, 3, 48
Suppose 4*n**2 - 282840*n + 848484 = 0. What is n?
3, 70707
Find m such that -3*m**5/4 + 57*m**4 - 15*m**3/2 - 3825*m**2 + 50625*m/4 = 0.
-9, 0, 5, 75
Factor -4*b**2 - 8664*b - 163172.
-4*(b + 19)*(b + 2147)
Factor 4835*w**2 - 536690*w + 555.
5*(w - 111)*(967*w - 1)
Determine c so that -2*c**4/7 - 556*c**3/7 - 3274*c**2/7 - 2720*c/7 = 0.
-272, -5, -1, 0
Factor -b**3/3 - 2575*b**2/3 - 66274*b/3.
-b*(b + 26)*(b + 2549)/3
Find j, given that 27*j**5 - 1062*j**4 + 2010*j**3 + 11688*j**2 + 6963*j + 1110 = 0.
-2, -1/3, 5, 37
Find y, given that 2*y**4/7 - 346*y**3/7 + 11394*y**2/7 - 99446*y/7 - 15884 = 0.
-1, 19, 22, 133
Factor f**4/6 - 2026*f**3/3 + 2054363*f**2/3 - 1367550*f + 1366875/2.
(f - 2025)**2*(f - 1)**2/6
Factor -2*j**3/7 + 4194*j**2/7 - 314400*j + 2196608/7.
-2*(j - 1048)**2*(j - 1)/7
Factor -5*o**3/3 + 470*o**2/3.
-5*o**2*(o - 94)/3
What is n in 242*n**3 - 13266*n**2 + 23520*n - 10600 = 0?
10/11, 53
Factor -135*w**2 + 525275*w + 38910.
-5*(w - 3891)*(27*w + 2)
Factor -3*x**3 + 141*x**2 + 1683*x + 1539.
-3*(x - 57)*(x + 1)*(x + 9)
Factor d**4 + 33178*d**3 + 275194917*d**2 - 132712*d - 1100779684.
(d - 2)*(d + 2)*(d + 16589)**2
Suppose 3*p**3 + 3694*p**2 - 13579*p + 7410 = 0. Calculate p.
-1235, 2/3, 3
Determine n, given that 3*n**5 + 372*n**4 + 7437*n**3 + 23628*n**2 - 7440*n - 24000 = 0.
-100, -20, -4, -1, 1
Factor -2*l**3 + 244*l**2 + 30750*l - 3751992.
-2*(l - 123)**2*(l + 124)
Solve -2*n**4/5 + 88*n**3/5 + 618*n**2/5 - 872*n/5 - 280 = 0.
-7, -1, 2, 50
Let 2*x**3/11 + 234*x**2/11 - 8*x/11 - 936/11 = 0. Calculate x.
-117, -2, 2
Determine w, given that -4*w**4/5 + 184*w**3/5 - 644*w**2/5 - 1216*w/5 + 336 = 0.
-2, 1, 5, 42
Factor z**2/6 + 10450*z/3 + 54601250/3.
(z + 10450)**2/6
Determine n, given that -2*n**2/11 + 64*n/11 + 738/11 = 0.
-9, 41
Determine t, given that -3*t**5 - 4170*t**4 - 16641*t**3 - 12474*t**2 = 0.
-1386, -3, -1, 0
Factor 2*h**3/3 + 2318*h**2 - 18576*h + 111520/3.
2*(h - 4)**2*(h + 3485)/3
Determine p so that 5*p**3 - 410*p**2 - 2175*p = 0.
-5, 0, 87
Determine k so that 2*k**5 + 1214*k**4 + 14384*k**3 + 62072*k**2 + 114368*k + 76160 = 0.
-595, -4, -2
Factor -4*h**5 + 120*h**4 - 1008*h**3 + 2592*h**2.
-4*h**2*(h - 18)*(h - 6)**2
Let -f**2 + 34154*f - 291623929 = 0. Calculate f.
17077
Factor 2*w**3 - 52*w**2 + 58*w + 1840.
2*(w - 23)*(w - 8)*(w + 5)
Factor -t**2/4 - 147235*t - 21678145225.
-(t + 294470)**2/4
Find r such that 16*r**4 - 227916*r**3 + 398812*r**2 - 113940*r - 56972 = 0.
-1/4, 1, 14243
Factor -2*z**3/5 - 841564*z**2/5 + 1683134*z/5 - 841568/5.
-2*(z - 1)**2*(z + 420784)/5
Factor 32*q**3/3 - 180*q**2 + 2212*q/3.
4*q*(q - 7)*(8*q - 79)/3
Factor 3*c**2 - 12738*c + 1207359.
3*(c - 4149)*(c - 97)
Solve 4*j**5/7 - 12*j**4/7 - 1140*j**3/7 - 10084*j**2/7 - 33840*j/7 - 39600/7 = 0 for j.
-6, -5, -3, 22
Find l such that -l**3 - 3525*l**2 - 3097575*l + 15576125 = 0.
-1765, 5
Suppose 2*s**3/17 - 224*s**2/17 - 5592*s/17 + 41184/17 = 0. What is s?
-26, 6, 132
Factor -i**2/4 + 1911*i/4 - 955/2.
-(i - 1910)*(i - 1)/4
Let -10*r**3 + 326584*r**2 - 457202*r + 130628 = 0. What is r?
2/5, 1, 32657
Determine b so that -3*b**5 - 1215*b**4 - 64662*b**3 - 1203720*b**2 - 7034400*b + 8304000 = 0.
-346, -20, 1
Factor 5*c**3/4 + 413*c**2/2 - 17315*c/4 - 874.
(c - 19)*(c + 184)*(5*c + 1)/4
What is x in -5*x**5 - 80*x**4 + 545*x**3 + 13340*x**2 + 50160*x + 37440 = 0?
-12, -4, -1, 13
Determine y so that -15*y**5 - 370*y**4 + 7655*y**3 - 27650*y**2 + 31780*y - 7800 = 0.
-39, 1/3, 2, 10
Find m, given that -2*m**2/7 - 454*m - 31580/7 = 0.
-1579, -10
Factor -i**3/4 - 310259*i**2/4.
-i**2*(i + 310259)/4
Solve 5*a**4/4 + 13825*a**3/4 + 13185255*a**2/4 + 4716680155*a/4 + 90722333390 = 0.
-887, -104
Find l such that 10*l**5/13 + 196*l**4/13 + 90*l**3 + 2000*l**2/13 - 1000*l/13 = 0.
-10, -5, 0, 2/5
Solve 5*q**2 + 17900*q + 53655 = 0 for q.
-3577, -3
Factor -4*a**2 - 31848*a + 127456.
-4*(a - 4)*(a + 7966)
Solve 2*s**3/13 - 1532*s**2/13 - 18672*s/13 = 0 for s.
-12, 0, 778
Factor -z**3/5 + 10*z**2 + 16536*z/5.
-z*(z - 156)*(z + 106)/5
Factor -150*j**2/11 - 1294*j/11 + 504/11.
-2*(j + 9)*(75*j - 28)/11
Factor 2*v**3 - 792*v**2 - 5006*v + 73164.
2*(v - 402)*(v - 7)*(v + 13)
Find c such that 2*c**2/3 + 8440*c/3 + 8434 = 0.
-4217, -3
Factor -4*d**2 - 1030760*d - 66404136100.
-4*(d + 128845)**2
What is z in 19*z**2 + 730039*z + 76846 = 0?
-38423, -2/19
Factor 1372*q**5 - 306152*q**4 - 263088*q**3 - 75232*q**2 - 7168*q.
4*q*(q - 224)*(7*q + 2)**3
Factor -x**2 - 4125*x + 4126.
-(x - 1)*(x + 4126)
Factor -4*n**2/5 + 5308*n/5 + 85952/5.
-4*(n - 1343)*(n + 16)/5
Solve 201*o**5/5 - 2394*o**4/5 + 1794*o**3/5 + 2592*o**2/5 - 399*o - 198/5 = 0.
-1, -6/67, 1, 11
What is s in 11907*s**5/5 + 1327347*s**4/5 + 37521144*s**3/5 + 29273544*s**2/5 - 6601488*s/5 + 330672/5 = 0?
-166/3, -1, 2/21
Determine u, given that 22*u**4/15 + 304*u**3/3 + 1492*u**2 - 4352*u/3 - 2162/15 = 0.
-47, -23, -1/11, 1
Factor -5*c**3/2 - 8555*c**2/2 - 1644160*c + 162570240.
-5*(c - 81)*(c + 896)**2/2
Determine t so that -t**4 - 934*t**3 + 3748*t**2 - 3752*t = 0.
-938, 0, 2
Factor 3*y**2/5 - 627*y/5 - 8658/5.
3*(y - 222)*(y + 13)/5
Find u, given that -447*u**3 + 4915*u**2 - 12494*u - 56 = 0.
-2/447, 4, 7
Find b such that b**5/3 + 20*b**4/3 + 131*b**3/3 + 280*b**2/3 = 0.
-8, -7, -5, 0
Factor 2*y**2 - 2868*y + 2866.
2*(y - 1433)*(y - 1)
Let -4*k**4 + 80*k**3 + 2520*k**2 - 80*k - 2516 = 0. Calculate k.
-17, -1, 1, 37
Solve -2*w**2 - 4234*w - 29540 = 0.
-2110, -7
Factor -2*z**3/3 + 154*z**2/3 - 1064*z/3 - 920.
-2*(z - 69)*(z - 10)*(z + 2)/3
What is b in -3*b**5 - 447*b**4 + 153*b**3 + 23091*b**2 + 43950*b + 21456 = 0?
-149, -6, -1, 8
Solve -1372*a**5 + 19600*a**4 - 29568*a**3 - 91648*a**2 - 60416*a - 12288 = 0.
-4/7, 4, 12
Suppose 3*k**4 - 723*k**3 + 6111*k**2 + 360111*k - 4586430 = 0. Calculate k.
-23, 17, 230
Find t such that t**2 + 1034*t + 130389 = 0.
-887, -147
Determine c so that 4*c**2 - 779408*c = 0.
0, 194852
Factor 5*r**3 - 10600*r**2 + 578195*r - 567600.
5*(r - 2064)*(r - 55)*(r - 1)
Factor 3*p**2/7 + 21615*p/7 + 474078/7.
3*(p + 22)*(p + 7183)/7
Solve -4*x**4 - 500*x**3 - 17328*x**2 - 115648*x - 216320 = 0.
-65, -52, -4
Determine i, given that 3*i**4/4 + 18*i**3 + 117*i**2/4 - 87*i - 99 = 0.
-22, -3, -1, 2
Find c, given that -63313849*c**3/5 - 63345677*c**2/5 - 31832*c/5 - 4/5 = 0.
-1, -2/7957
Factor 3*m**4 - 2457*m**3 + 17076*m**2 - 19440*m - 38976.
3*(m - 812)*(m - 4)**2*(m + 1)
Factor 5*s**4 + 9255*s**3 - 18530*s**2.
5*s**2*(s - 2)*(s + 1853)
What is b in -144*b**5/7 - 239664*b**4 - 4886569204*b**3/7 - 232673800*b**2 - 135722500*b/7 = 0?
-5825, -1/6, 0
Factor -2*j**2/15 - 2312*j/15 + 38528/5.
-2*(j - 48)*(j + 1204)/15
Factor 5*g**2 - 64510*g.
5*g*(g - 12902)
Factor 5*b**3 + 440*b**2 - 2355*b - 2790.
5*(b - 6)*(b + 1)*(b + 93)
Determine x so that -x**3/7 - 241*x**2/7 - 34*x + 480/7 = 0.
-240, -2, 1
Determine h, given that -2*h**4/5 + 96*h**3/5 - 866*h**2/5 + 1956*h/5 - 1184/5 = 0.
1, 2, 8, 37
Factor m**4/10 + m**3 + 19*m**2/10 - 3*m.
m*(m - 1)*(m + 5)*(m + 6)/10
Factor -c**4 + 253*c**3 - 21762*c**2 + 675324*c - 3321864.
-(c - 91)*(c - 78)**2*(c - 6)
Factor o**2/3 - 109*o/3 - 110/3.
(o - 110)*(o + 1)/3
Determine w, given that 260*w**5 + 2164*w**4 + 4044*w**3 + 2588*w**2 + 400*w - 48 = 0.
-6, -1, -2/5, 1/13
Let 2*u**4/5 - 15064*u**3/5 - 30158*u**2 - 75420*u = 0. Calculate u.
-5, 0, 7542
Let -u**5/7 - 45*u**4/7 + 199*u**3/7 + 19*u**2 - 678*u/7 + 56 = 0. Calculate u.
-49, -2, 1, 4
Solve 3*b**3 - 732*b**2 + 45375*b - 87846 = 0.
2, 121
Suppose 2*k**5/15 - 16*k**4/15 + 4*k**3/5 + 16*k**2/3 + 10*k/3 = 0. What is k?
-1, 0, 5
Factor -3*w**3 - 186*w**2 + 2748*w + 6216.
-3*(w - 14)*(w + 2)*(w + 74)
Solve -80*n**4 - 1508*n**3 - 2572*n**2 - 940*n + 204 = 0 for n.
-17, -1, 3/20
Factor 31*b**2/8 - 3280*b + 2961/2.
(b - 846)*(31*b - 14)/8
Let -2*p**4 + 334*p**3 - 15834*p**2 + 149842*p + 166012 = 0. Calculate p.
-1, 14, 77
Find f, given that -3502*f**2/21 - 3524*f/21 - 22/21 = 0.
-1, -11/1751
Find n such that 3*n**5 + 3087*n**4 + 24573*n**3 + 70533*n**2 + 85800*n + 36756 = 0.
-1021, -3, -2, -1
Suppose 5*h | {
"pile_set_name": "DM Mathematics"
} |
10*v)*(0 + 0 + 3 + (0 + 0 - 7)*(0 + 1 - 3)).
51*v**4
Expand 7*x**3 - 4 + 4 + (-x**2 + 0 + 0)*(2*x - 3*x + 3*x) - 31*x**3 + 10*x**3 - 7*x**3.
-23*x**3
Expand -3*w**3 - 4*w**3 + 0*w**3 + (-48*w - 22 + 22)*(-3*w**2 - w**2 + 3*w**2).
41*w**3
Expand (0 + 0 - 1)*(-25*k - 8*k**3 + 25*k)*(-11*k - 124 + 124).
-88*k**4
Expand (0*h - 3*h + h)*(2*h**4 - h + h) + 2*h**3 - 266 - 237 + 213 - h**5.
-5*h**5 + 2*h**3 - 290
Expand (-2*q**2 + q**2 - q**2)*(-q + 3*q - 4*q) + (-1 + 1 + 2*q**2)*(1 - 1 - 2*q) - 25*q**3 - 4 + 2 + 130*q**2 + 22*q**3.
-3*q**3 + 130*q**2 - 2
Expand 2*o**2 - o**4 - 2*o**2 - 3*o**4 - 26*o**4 - 30*o**4 + (3 - 3 + 3*o**3)*(-2*o + 6*o - 2*o) + 0*o**4 + 2*o**4 - o**4.
-53*o**4
Expand (0 - 2 - 2)*(-3 - 3 + 2)*((4*o**2 + 2*o**2 - 4*o**2)*(-5*o**3 + 2*o**3 + 2*o**3) + 0*o**3 + o**5 + 0*o**3).
-16*o**5
Expand -21*b - 18*b + 13*b + b - 6*b + 4*b - 3*b + 4*b + b + (1 + 1 - 1)*(5*b - 3*b - 3*b) - 4*b - 3*b + 5*b - 30*b - 8*b + 4 - 3.
-66*b + 1
Expand (-34*k**3 - 26*k**3 + 18*k**3)*(-12 + 16*k + 12 - 2 + 2 - k + (-1 + 1 - k)*(-3 + 0 + 5) + 3*k + k - 3*k + 7*k - 2*k - 3*k + 2*k - k + k + 0 + 2*k + 0).
-840*k**4
Expand (0*i**3 - i**3 - i**3)*(2917*i**2 + 1 - 17*i - 8*i - 2918*i**2).
2*i**5 + 50*i**4 - 2*i**3
Expand (-2*y + 0*y + 0*y)*(136*y**2 + 4775*y - 4775*y) + (4*y - y - y)*(4 - 4 - 2*y**2) - y + y**3 + y.
-275*y**3
Expand 2*q**2 - q**2 + q**2 + (4*q + 4*q - 6*q)*(-1 + 1 - q) - 3*q**2 + 3*q**2 - 3*q**2 + 7*q**2 - 3*q**2 - 3*q**2.
-2*q**2
Expand (-j + 3*j - 3*j)*(7 - 27 - 8)*(0 + 1 + 1).
56*j
Expand -j**3 - 3*j**3 + 3*j**3 + (0*j + 0*j - 2*j)*(0*j**2 - j**2 + 0*j**2) - 3*j**3 + 0*j**3 + 5*j**3 - 42*j**2 + 11*j**3 + 42*j**2.
14*j**3
Expand (-3*r + 3*r + 6*r)*(2*r + 11*r + 7*r + 7*r).
162*r**2
Expand 3 - 3 - 5*x + (4*x - 3*x - 3*x)*(-3 + 4 + 1) + (-2*x + 2*x + 5*x)*(4 + 1 - 2).
6*x
Expand (119*a - 63*a + 3 - 59*a)*(a**3 + a**2 + 2*a**2 + a**3).
-6*a**4 - 3*a**3 + 9*a**2
Expand 10*i**4 + 68*i - 6*i**4 - 7*i**4 + (4 - 2*i**2 - 4)*(-1 + 1 + 2*i**2).
-7*i**4 + 68*i
Expand -5*i + 0*i - i + (2 - 3 + 0)*(-i - i - i) + 0 + i + 0 + (-2 + 1 - 2)*(4*i + 2*i - 5*i).
-5*i
Expand (-3 + 4 + 0)*(1 - 2 + 0)*(2 - 1 + 0)*(10*b - 4*b + 6*b).
-12*b
Expand -3 - 2*z + 0*z + 1 + 2 - 2 + 2*z + (-2 - 1 + 0)*(2*z + 0*z - z).
-3*z - 2
Expand (-p + 2 + 0 - 5)*(-1 + 34*p**4 - 28*p**4 + 46*p**4).
-52*p**5 - 156*p**4 + p + 3
Expand ((-1 + 2 + 3)*(5 - 6 + 0)*(h - 2*h + 0*h) + (-2*h + 8*h - 3*h)*(4 - 5 + 3))*(-6*h + 5*h + 4*h).
30*h**2
Expand (78*p - 71*p - 288*p)*(-2 + 1 + 2).
-281*p
Expand (-f + 4*f - f - 1)*(-17 - 7 - 3).
-54*f + 27
Expand (0*o + 0*o - 4*o)*(-3*o + 3*o + 2*o**4) - 2*o**5 - 11*o**4 + 11*o**4.
-10*o**5
Expand (-67 - 481 - 724)*(-2*y**5 - 1 + 1).
2544*y**5
Expand (-3*x - x + 1 + 3*x)*(-4*x - x + 2*x)*((-1 - 2*x + 1)*(3*x - 2*x - 3*x) + 3*x**2 + x**2 + 0*x**2).
24*x**4 - 24*x**3
Expand -o**5 + o**5 + o**5 + (0*o**2 - 2*o**2 + 0*o**2)*(-3*o**3 + o**3 + o**3) + 929*o**5 - 4*o**5 + 675*o**5.
1603*o**5
Expand -4*f + 3*f + 0*f + (-5 + 0 + 4)*(-5*f - 3*f + 6*f) + 25*f - 14*f - 2 + 3.
12*f + 1
Expand (507*j**4 - 2*j**2 + 2*j**2 - 841*j**4)*(0*j + 2*j + 0*j).
-668*j**5
Expand (3*g + 2*g - 6*g)*(-2*g - 4 + 4) + (-1 + 2 + 0)*(11*g - 11*g + g**2 - 2).
3*g**2 - 2
Expand 4*f + f - 4*f + f - 1 + 1 + (-2 + 2 - f)*(-2 + 4 - 3) + (-12 + 2 - 13)*(-2*f + 4*f - 4*f).
49*f
Expand -2*i**3 + 2*i**2 - 2*i**2 + (-2*i**2 + 6*i**2 - i**2)*(-118*i - 133 + 133).
-356*i**3
Expand (-93 - 28 + 50)*(0*k + k + 0*k).
-71*k
Expand -2*o**4 - 65*o**3 + 60*o**3 - 27*o**3 - 4*o + (o**2 - o**2 - o**4)*(-3 + 4 + 1) + o**2 + o**4 - o**2 + 0*o**4 + 3*o**4 - 4*o**4.
-4*o**4 - 32*o**3 - 4*o
Expand (-c + c + 5*c)*(-2*c + 1 - 1)*(2*c - 10 + 4 - 4).
-20*c**3 + 100*c**2
Expand (5*o**2 - 2*o**2 - o**2)*(-45 + 99 - 23)*(2 + 3 - 6)*(-5*o + o + 2*o).
124*o**3
Expand -5*v**4 - v**4 + 2*v**4 + (-1 + 1 - v**2)*(v**2 + 0*v**2 + 2*v**2) + 0*v - v**4 + 0*v + v**4 + 4*v**4 - 3*v**4.
-6*v**4
Expand (-w**5 + 3*w - 3*w)*(6 - 1 - 3) + 0*w + 0*w - 2*w**5 + 2*w**5 - 5*w**5 + 2*w**5 - 7*w**4 - 10*w**5 + 7*w**4 + (2*w**2 + 2*w**5 - 2*w**2)*(0 + 3 - 5).
-19*w**5
Expand (-4*b + 0*b + 0*b)*(4 - 2 + 0 + (-3 + 0 + 4)*(-2 + 3 + 0) - 5 + 4 + 2 + 6 + 2 + 0 + 2 - 5 + 2)*(3 - 5 + 0)*(1 - 1 - 2*b).
-176*b**2
Expand (1 - u**2 - 1)*(20 + 16 - 20) + 308*u**2 - 2*u + 374*u**2 - 756*u**2.
-90*u**2 - 2*u
Expand (-2 + 5 - 2)*(-3*k - 2*k + 3*k) + k + k - 4*k + (1 - 1 - k)*(-2 - 3 + 4) + 17*k - 57 + 57 + 3*k + 8*k + k.
26*k
Expand (-2*o - o - 40 + 44)*(1 + 0 - 2) - 43*o - 5*o - 4*o.
-49*o - 4
Expand (o + 0*o + 0*o)*(o**2 - 2*o + 2*o + (o + 3*o - 5*o)*(-2*o - 2*o + 3*o) - 34*o**2 + 260*o**2 - 14*o**2).
214*o**3
Expand (0 + 0 - 1)*(r + 21*r - 777*r**4 + 774*r**4).
3*r**4 - 22*r
Expand (-2 + 2 + y)*((-3 + 3 + 1)*(6 + 6 - 1) - 3 + 4 + 0)*(8 + 24 - 10).
264*y
Expand (0*j**4 - 2*j**4 + 3*j**4)*(11 + j - 11) + 0*j**5 + 0*j**5 + j**5 + 1711*j**4 + 148*j**5 - 1711*j**4.
150*j**5
Expand ((7 - 3 - 2)*(3 - 1 - 3)*(-3 + 3 - 2*l) - l + 3*l - 3*l)*(160*l - 9024 + 9024)*(2*l - 2*l + 2*l**2).
960*l**4
Expand 2*m**2 + 0*m**2 - 3*m**2 + (m**2 + 0*m + 0*m)*(-6 + 1 + 3) + m**2 + m**2 - m**2 - 4*m**2 + 2*m**2 + 3*m**2 + (m + m + 0*m)*(-13*m + 35 - 35).
-27*m**2
Expand (c**2 + 4*c**2 + 4*c**2)*(0*c**3 + 0*c**3 + 2*c**3) - c**5 + 0*c**5 - c**5 + (-2*c**4 + 4*c**4 - c**4)*(-2*c - 2*c + 2*c).
14*c**5
Expand 1 + 3 - 3*i + 0*i + (-4 + 4 + 2*i)*(1 + 2 - 2) + 0 + 0 + 2*i + 2*i - 7*i - 3*i + 3 - 3 + 2*i.
-5*i + 4
Expand (-1 + 0 - 1)*(-253*i**2 - 129*i**2 + 41*i**2).
682*i**2
Expand 34*f**4 + 38*f**4 - 90*f**4 + 2*f**4 + 2*f**4 - 2*f**4 + 1 - 2*f**4 - 1 + (0 - 2*f**2 + 0)*(-f - 3*f**2 + f).
-12*f**4
Expand (-6 + 2 + 8)*(5 - 2 - 2)*(12*u**3 + 10*u**3 - 4*u**3).
72*u**3
Expand (3 + 3 + 0)*(3 + 1 - 3)*(-z**2 + z**2 - 2*z**3)*(2 - 4 - 4) - 2*z**2 - 3*z**3 + 2*z**2.
69*z**3
Expand (-1 + 1 - 2*b**3)*(-6*b**2 - b**2 + 6*b**2) + 2*b**5 + 0*b**5 - 3*b**5 + (-3*b + 1 - 1)*(3*b**4 + 2*b**4 - 2*b**4).
-8*b**5
Expand (-u + 3*u + 0*u + (-5*u - 2*u + 6*u)*(-1 + 2 - 3))*(3*u**4 - u**4 - 4*u**4 + (3*u**4 - 2*u**4 + 0*u**4)*(-2 - 3 + 4) + 2*u**4 + 4*u**4 - 7*u**4).
-16*u**5
Expand (3 - 10 + 0)*(z - 1 + 1)*(-4*z**3 - 3*z + 4*z**3 - 2*z**3).
14*z**4 + 21*z**2
Expand (-3 - 4 + 2)*(83*w - 25*w - 32*w).
-130*w
Expand (x - 4*x + 0*x)*(-1 + 1 + 3)*(x + x + 2*x)*(-4 + x + 4).
-36*x**3
Expand -l**3 + 2*l**3 - 4*l**3 + (-2*l - 16 + 16)*(-4*l**2 + l**2 - l**2).
5*l**3
Expand (2*k - 2*k - 7*k)*(-k**3 + 2*k**2 - 2*k**2) + (-2 + 13*k**2 + 2)*(-k**2 - k**2 + 3*k**2).
20*k**4
Expand (-58 + 89 + 91)*(-3*g + 3*g - 2*g**3).
-244*g**3
Expand (0*p + 2*p - 4*p + (-2 + 3 - 3)*(p + 1 - 1))*((-4 + 2 + 3)*(386*p + 366*p - 792*p) - 2*p + p + 2*p).
156*p**2
Expand (5*g**3 - 3*g**3 + 0*g**3 + (-2*g + 2*g - 2*g)*(2*g**2 - 5*g**2 + 0*g**2) + (-2 + 2 + 2*g)*(4*g**2 + 0*g**2 - 3*g**2))*(14 + 14 + 2*g - 7).
20*g**4 + 210*g**3
Expand (w**3 - 2*w**3 + 3*w**3)*((3*w + 3*w - 5*w)*(1 - 1 - 2*w) - 3*w**2 + 4*w - 4*w).
-10*w**5
Expand 0*z - 2*z + z + (-5*z + 5*z - z)*(-1 + 3 + 3) + (3*z - 2*z + z)*(-3 + 3 - 3) - 2*z + 12*z - z.
-3*z
Expand (-8*h + 3 - 4 + 10*h)*(-10 - 2 + 1).
-22*h + 11
Expand (151*f - 87*f + 94*f + 56*f)*(0*f**4 + 5*f**4 - 2*f**4).
642*f**5
Expand (b**3 + b**3 - 10*b**3)*(-2*b**2 + 2*b**2 - 2*b**2)*(32 + 28 - 19).
656*b**5
Expand (-4*d + 0*d + 2*d + d - d - 2*d + (-4 + 2 + 0)*(3*d - 5*d + 4*d) + 3*d - 3*d + 2*d)*(-4*d**2 + 44 - 6*d**2 - 47).
60*d**3 + 18*d
Expand (915 - 2025 + 999 - 3*k**2)*(3*k**3 - 3*k**3 - 2*k**3).
6*k**5 + 222*k**3
Expand (21 - 7 + 2*l + 2)*(2*l - 6 + 6).
4*l**2 + 32*l
Expand (5389 - 15*a**4 - 5389 - 4*a)*(-11 + 11 - 8*a).
120*a**5 + 32*a**2
Expand (4 - 4 - 6*c)*(c**2 - c + c)*(-4*c + 2*c - 2*c) + c**4 + 0*c - 2 + 0*c.
25*c**4 - 2
Expand (-2*f - 3 + 3)*(968*f + 2780*f - 1431*f + 2921*f).
-10476*f**2
Expand 13 - 6*c - 13 + (35 - 83 - 36)*(2 + 2*c - 2).
-174*c
Expand (104*g + 142*g - 18*g)*(-1 + 1 + 3*g).
684*g**2
Expand (3*x - 5*x + 0*x)*(1 - 3 + 1) + 3 + 4*x - 4 - 5*x + 0 + 2*x + 0 + (-5*x + x - 17*x)*(-3 + 4 + 1).
-39*x - 1
Expand 0*i - 2*i + 0*i + (4 - 3 - 3)*(2 + 0 + 0)*(0*i + 2*i + 5*i).
-30*i
Expand (1 + 4*k**2 - 1)*(-k + 10 - 21 - 5*k).
-24*k**3 - 44*k**2
Expand (1 - 5 + 1)*(-o + 2*o + 0*o) - 14*o + 4*o + 7*o.
-6*o
Expand (3*s - 4*s + 0*s)*(2*s + 0*s + 0*s) + 0*s**2 + 2*s**2 + s**2 + 2*s**2 - 15* | {
"pile_set_name": "DM Mathematics"
} |
earest 100.
5600
Let f = 9454 + -9453.6397. What is f rounded to 2 decimal places?
0.36
Let r = 72.3 + 0.7. Let t = r + -175. Let a = t - -102.00000098. Round a to 7 decimal places.
0.000001
Let p = 1.3605 + -1.3615798. Round p to 4 dps.
-0.0011
Let f = 139.7 - 146. Let m = -7 - f. Let d = m + 0.69767. Round d to four dps.
-0.0023
Let g = 0.941364956 + -0.9413. Round g to seven decimal places.
0.000065
Let f = 185.05 + -3.05. Let u = 354 - f. Let i = -171.909 + u. Round i to two dps.
0.09
Let c = 48696.652831 + -50731.6529353. Let s = c - -2035. Round s to five dps.
-0.0001
Let t = -16381 - -5547. Let f = -10785.07 - t. What is f rounded to the nearest integer?
49
Suppose 2*r + 3*o = -2*r - 103, 52 = -2*r - 2*o. Let k(x) = 49*x**3 - 24*x**2 - 24*x + 25. Let n be k(r). What is n rounded to the nearest one million?
-1000000
Let w = 0.023 + -501.023. Let t = -544.8 - w. Let z = 45 + t. Round z to 0 decimal places.
1
Let y = -713.8 - -709.1084. What is y rounded to two dps?
-4.69
Let v = -0.239 + -117.761. Let w = v - -178. Let m = w + -55.2. What is m rounded to 0 dps?
5
Suppose v = -5*f - 2299001, 3*f + 1805183 = -5*v + 425778. Round f to the nearest 10000.
-460000
Let x = 113.24 + -133.9. Let i = 11.12 + x. Let j = i - 0.06. What is j rounded to the nearest integer?
-10
Let p = 3055 + -3054.99997372. What is p rounded to six decimal places?
0.000026
Suppose -5*k + 12425837 - 34720837 = 0. Round k to the nearest 1000000.
-4000000
Let w(j) = -j**3 - 4*j**2 + 5*j + 4. Let l be w(-5). Suppose l*c - 522425 = -3*x + 67959, -2*c - 8 = 0. Round x to the nearest 10000.
200000
Let h = -655601.3199379 + 655698.32. Let d = -96.95536 + -0.04464. Let a = h + d. Round a to five dps.
0.00006
Let a = -2706170417.79998619 + 2706170400. Let w = 5371 + -5388.8. Let j = a - w. Round j to six decimal places.
0.000014
Let f = -0.53583189 + 2.07583476. Let i = f + -1.54. What is i rounded to 6 decimal places?
0.000003
Let m(w) = 676999*w**2 - 15*w - 50. Suppose 0 = 3*c + 8 + 22. Let k be m(c). What is k rounded to the nearest one million?
68000000
Suppose -102706 = -38*w + 63814 + 39630. What is w rounded to the nearest 100?
5400
Let x = -18.88 + 2.08. Let v = x + 22.9. What is v rounded to the nearest integer?
6
Suppose -4*c = -25 + 5. Suppose 0 = c*f - 10, -2*h + 6*h - 25602 = -f. Round h to the nearest 1000.
6000
Let y = -104148160.691 + 104148276.791000499. Let g = 116.1 - y. What is g rounded to 7 decimal places?
-0.0000005
Suppose -x - 43 = -582. Suppose -z = 4*a - 9*a - 2713, -2*z + x = -a. Round a to the nearest one hundred.
-500
Let s = -143.9 + -49.85. Let p = -199 - s. What is p rounded to 0 dps?
-5
Let z = 19.75 + 9.327. Let k = -29 + z. Let g = -0.07699909 + k. Round g to 7 decimal places.
0.0000009
Let n = 478946308 + -478946306.814997198. Let l = n + -1.185. What is l rounded to 6 decimal places?
0.000003
Let p = -505250 + 505259.60228. Let v = -9.472 - 0.128. Let w = p + v. Round w to 4 decimal places.
0.0023
Let m = 0.0382 - -10.3018. Let z = -10.33999279 + m. Round z to seven dps.
0.0000072
Suppose 0 = -2*p + c + 23047497, p + 0*c = 3*c + 11523741. Let t be ((-16)/3)/(2/p). What is t rounded to the nearest one million?
-31000000
Let f = 0.149 - 13.149. Let o = 21.3 - f. Round o to the nearest integer.
34
Let h = 9809.838 + -9811. Let z = 23 + -22.982. Let a = z - h. Round a to one dp.
1.2
Let w = 18148.64948 + -18202.65. Let i = 135 - 81. Let b = i + w. Round b to 4 dps.
-0.0005
Let g = 6.3779 + -6.408479. Round g to 3 dps.
-0.031
Let u = 2.205 + -1.964. Let t = 21.874 - 22. Let b = u - t. Round b to two decimal places.
0.37
Suppose 2*u + 16 = 3*w - 0*u, 4*w + 2 = -2*u. Suppose 6*p = w*p + 28. Let g be -1 + 9/p - 15350898/(-357). Round g to the nearest 10000.
40000
Let q = -153 - -128.52. What is q rounded to zero decimal places?
-24
Let z = 1249.1 + -1254.423. Round z to zero decimal places.
-5
Let h = 363.70695061 - 391.1418442. Let c = h + 28.6848943. Let d = c + -1.25. What is d rounded to seven dps?
0.0000007
Suppose -3*h = 5*s - 21454800, -2*s = 2*h - 4*s - 14303184. Let a = h + -3711595. Round a to the nearest 1000000.
3000000
Let a = -4907636.674999909 + 4907637.49. Let i = a + -0.815. Round i to 7 decimal places.
0.0000001
Let a = 465.1 - -110.9. Let g = a + -1274. Let d = -697.999679 - g. What is d rounded to 5 dps?
0.00032
Let s = 18090004 - 18090156.99606. Let r = -153 - s. What is r rounded to 3 dps?
-0.004
Let h = 0.0367 + -168.0367. Let r = h - -167.99998772. What is r rounded to 6 decimal places?
-0.000012
Let o(a) = 61*a**2 - a - 2. Let q be o(-2). Suppose -q = 15*f + 1091. What is f rounded to the nearest 10?
-90
Let v = -149 - -118.5. Let g = v + 30.5000121. Round g to six decimal places.
0.000012
Let h = 59454 - 59374.919. Let i = h - 79. Let v = i + 0.079. What is v rounded to 1 decimal place?
0.2
Let z(s) = -559679*s + 23649*s + 26021*s - 43 - 47. Let w be z(-10). What is w rounded to the nearest one million?
5000000
Suppose -2*l - 9 = -11*l. Let c be 4*l*((-2957133)/(-6) - -2). Let a = 4031430 - c. Round a to the nearest one hundred thousand.
2100000
Let s = 0.0672 - -0.9013. Let c = s + -1.13. What is c rounded to 2 dps?
-0.16
Let s be (-8 - -21994)/(8/176). Suppose 3*m + m + 5*a = -1934820, -m + 2*a - s = 0. Round m to the nearest 10000.
-480000
Let z = 15 + 32. Let s = z - 63. Let d = 10.8 + s. What is d rounded to the nearest integer?
-5
Suppose 77518 = f - 60020. Suppose 2*a - k = 68776, 4*a - k - f = -6*k. Let h = -106387 + a. What is h rounded to the nearest 10000?
-70000
Suppose 4*c + 2*z + 5082002 = 2*c, 4*c + 2*z = -10164002. Round c to the nearest 1000000.
-3000000
Let d = 3203 + -5068. What is d rounded to the nearest 100?
-1900
Let w = -25249.26502 - -25249. Round w to three decimal places.
-0.265
Let q = 3101.98016 + 0.01984. Let d = 3102.000002974 - q. Round d to 7 dps.
0.000003
Let z = -8.69993131 - -8.7. Round z to five decimal places.
0.00007
Let o = -132 - -131.529. Let x = o - 0.074. Round x to 1 decimal place.
-0.5
Let h = -190451 - -190450.9907089. What is h rounded to 3 dps?
-0.009
Let f = 871.9581 - 1138.957815. Let b = f - -267. What is b rounded to four decimal places?
0.0003
Let x = 34933 + -51580. Round x to the nearest 10000.
-20000
Let z(x) = 2*x**3 - 10*x**2 - 3. Let m be (2 - 3) + 12/2. Let d be z(m). Let r be d + 60/18 - 109801/3. Round r to the nearest one thousand.
-37000
Let a(r) = -1552*r - 3. Let h be a(2). Let n = h - -45007. Round n to the nearest one thousand.
42000
Let x = -25226.9998581 + 25227. Round x to 5 dps.
0.00014
Let d = 38.5739 + 0.2561. What is d rounded to the nearest integer?
39
Let d = 18.7 + -746.7. Let p = d + 383. Let v = p + 338.08. What is v rounded to one dp?
-6.9
Let h = 83.8 + -83.89556. What is h rounded to two decimal places?
-0.1
Let k = 0.10908472 - 0.111075. What is k rounded to 5 dps?
-0.00199
Let u = 4746 + -4746.020805. Round u to 3 dps.
-0.021
Let y be 3 + 2/(-1) + (1 - -1). Suppose -y*t + 18548 = -7792. What is t rounded to the nearest 1000?
9000
Let k = -0.06213 - -0.06211857. What is k rounded to 6 dps?
-0.000011
Let m = -8.470000807 - -8.47. What is m rounded to 7 dps?
-0.0000008
Let l = -207.84 - -207. Let w = l - -3.95. What is w rounded to the nearest integer?
3
Let t = -0.86 - -101.86. Let s = -100.951 + t. Let o = s - 0.0532. What is o rounded to three decimal places?
-0.004
Let p(b) = -17*b**3 - 7*b**2 - 3*b - 13. Let m be p(-11). What is m rounded to the nearest ten thousand?
20000
Let n be (82437/(-6))/(1/(-2)). Suppose -4*s + 38648 = -4*a + 2016, -3*s + 4*a + n = 0. Suppose t + 6547 = -s. What is t rounded to the nearest 1000?
-16000
Let f be -6 + 169 - (-3 + -1). Suppose -35 = 11*r - f. What is r rounded to the nearest integer?
12
Let j be 19/(-38)*-4*(-1 - -2). Let t be j/(-7) + 4/(-42)*900897. Round t to the nearest 10000.
-90000
Suppose 18 = 2*s + s. Let d(g) = 225*g + 473*g - 111*g - s. Let o be d(-2). Round o to the nearest 100.
-1200
Let d = -259065 - -43312. Let c = d + 14753. Round c to the nearest 100000.
-200000
Let f = 668.8 - -6859.7. Round f to the nearest one hundred.
7500
Let j = -331.755 + 342. Let q = -10.5 + j. Let w = 0.146 + q. Round w to two decimal places.
-0.11
Suppose 25*w = 33*w - 32. Let q be 0 + (-11 + -183)/(w | {
"pile_set_name": "DM Mathematics"
} |
s?
True
Is -10 at least as big as -52583/4743?
True
Is 296092/9 at least 106/3?
True
Which is smaller: 782050 or 781773?
781773
Which is bigger: 34/837 or 2517?
2517
Which is bigger: -19076 or 1020?
1020
Which is smaller: -42848271 or -42848304?
-42848304
Which is smaller: 305534 or 305527?
305527
Which is greater: 8152 or 1165578/143?
8152
Which is smaller: -184.6 or -185204?
-185204
Which is smaller: -647.5 or -5442?
-5442
Which is smaller: -218578 or -219973?
-219973
Which is smaller: 218987 or 681?
681
Are 21400115 and 21400115 equal?
True
Is -48384471 <= -48384472?
False
Which is smaller: 7741907/4 or 1935476?
1935476
Is 517 less than or equal to 564676/1091?
True
Which is smaller: 1 or -12976/32427?
-12976/32427
Which is bigger: 1499044 or 19487582/13?
19487582/13
Is 4694918.9 < -2/5?
False
Is -7 greater than -17453/2394?
True
Which is smaller: 0.2 or 0.0575361997?
0.0575361997
Is 0.0710831 > 2/7?
False
Is 5990 > -123?
True
Do 1 and -7/3228853 have different values?
True
Is 17 at least 826912?
False
Is -420728 > -536?
False
Is -4699862 less than -4699860?
True
Which is greater: 7763 or 357059/46?
7763
Which is smaller: 547 or -52505?
-52505
Which is greater: -0.2192 or 2064?
2064
Is 104/1459467 smaller than 1?
True
Which is greater: 0 or 7/17554920?
7/17554920
Is 1 greater than 17/423002?
True
Which is greater: 0 or 2228/33477?
2228/33477
Is -330380/81 bigger than -4079?
True
Is 1 bigger than -4092/917969?
True
Which is smaller: 889567 or 889575?
889567
Does 1/783 = -0.4314?
False
Which is greater: 5/1289448 or -1?
5/1289448
Is 11086026 > 11086026?
False
Is -247190 not equal to -247189?
True
Which is smaller: -4 or 13655584?
-4
Is -30584394/43 greater than 0.3?
False
Is -104368 greater than or equal to 10.9?
False
Is 13419 <= 6250?
False
Is -64336 bigger than -2/3?
False
Which is bigger: 16/4398335 or -1?
16/4398335
Which is smaller: 4113 or 3298?
3298
Which is greater: 63556129/2 or 31778065?
31778065
Which is bigger: 207/10494599 or -1?
207/10494599
Which is bigger: -1409 or -3636?
-1409
Which is bigger: -4347 or 265?
265
Which is bigger: -24939984 or -24939985?
-24939984
Is -2801/44 at least -2/7?
False
Does -1202361/16 = 5/3?
False
Which is greater: 1268519 or 52/7?
1268519
Is -0.111 greater than 83/85?
False
Which is bigger: -1/90531968 or 0?
0
Is -9/7 less than 68.0551?
True
Which is greater: -2927345 or -5854689/2?
-5854689/2
Which is smaller: 1 or -7337730?
-7337730
Are 815684/2665 and 307 non-equal?
True
Which is smaller: -108811 or -113608?
-113608
Which is smaller: 513333 or 513497?
513333
Is -903.5575 greater than or equal to -0.066?
False
Is -1007685 smaller than -9069158/9?
True
Is 181544197 > 181544197?
False
Which is bigger: 1 or -121/111953?
1
Does -457/10498 = 0?
False
Which is bigger: 123221 or 943?
123221
Which is greater: -1200 or -52325?
-1200
Is 185267 at least as big as 185256?
True
Is -11500865 >= -11500864?
False
Is -431828 > -431842?
True
Which is greater: -149582757 or -149582755?
-149582755
Which is bigger: -21169 or -19939?
-19939
Which is smaller: -20 or 2/13015013?
-20
Which is greater: 21298169 or 21298171?
21298171
Is 860672 > 13/21?
True
Are 2085352 and 0.82 equal?
False
Which is smaller: 232 or -358394?
-358394
Is 592849 >= 592434?
True
Which is smaller: 60.135 or 1/10?
1/10
Does -818610/77 = -10630?
False
Is -5/350248 at most -1?
False
Is 111/8 at least as big as -69/160?
True
Is -16617 smaller than 1.66?
True
Is -77 <= -0.1329742?
True
Which is smaller: 714664208 or 2?
2
Is 1704 equal to 610109/358?
False
Which is bigger: 1/7601 or 2701/5?
2701/5
Which is smaller: -11136910/9 or -1237435?
-1237435
Which is bigger: -4203565/8 or -525445?
-525445
Are 351787 and 352858 nonequal?
True
Is 470109 not equal to 469922?
True
Is 721270/133 less than 5423?
False
Which is smaller: 6764093 or 6764148?
6764093
Is -19162 >= -19225?
True
Are 1188140 and 13069538/11 nonequal?
True
Which is smaller: 3/438108332 or -1?
-1
Which is smaller: -8918/291 or -32?
-32
Is -71584 > -71573?
False
Is -44315/32848 greater than -2?
True
Do -20216857 and -20216857 have different values?
False
Is -27042 < -15614?
True
Which is greater: 1 or -3/720187?
1
Is -1170 at most as big as -471959/403?
False
Which is smaller: 0.15 or -8.1784589?
-8.1784589
Is -650 at most -1/3059?
True
Which is smaller: -1970887 or -21679742/11?
-1970887
Is -4327007 not equal to -4327007?
False
Are 275363 and 275363 equal?
True
Is 5234209 bigger than 5234227?
False
Do -1 and -14767/35788 have the same value?
False
Is -1089099 less than or equal to 27?
True
Which is smaller: -1200 or -9/16330?
-1200
Is -758095 >= 11?
False
Which is bigger: 32238 or -196/5?
32238
Which is smaller: -44 or -231736/5221?
-231736/5221
Is 1393050 greater than or equal to 1393032?
True
Are -2601 and -3/10357 equal?
False
Is -5/19 bigger than 156497/8?
False
Is -6 bigger than 17239649?
False
Which is smaller: -1175395 or -1175371?
-1175395
Which is smaller: 198/7 or -5/33923?
-5/33923
Which is smaller: -1/7 or -1002130?
-1002130
Is -38910/39397 at least as big as -1?
True
Which is smaller: -1 or -2934/2737?
-2934/2737
Do 227 and 1477032 have the same value?
False
Is 571006/103 bigger than 5544?
False
Which is smaller: 4337267 or 4337229?
4337229
Is -319 != -3/99229?
True
Which is greater: 1 or -3/204759194?
1
Which is smaller: 141.8 or -0.07398?
-0.07398
Which is bigger: -115471006/5 or -23094202?
-115471006/5
Which is bigger: 1 or 1/795204405?
1
Which is bigger: 262/166081 or 0?
262/166081
Which is smaller: 14632 or 3180?
3180
Which is bigger: 5522296 or 38656066/7?
5522296
Is -90 < -44937/503?
True
Is -2194 at least as big as -2/145?
False
Which is greater: 2435696/9 or 270633?
270633
Which is greater: -354 or 1/3140?
1/3140
Does 21/1468604 = 0?
False
Is -39/167 at most as big as 1075?
True
Which is smaller: -3340380/1253 or -2667?
-2667
Is 1009/8 bigger than -686?
True
Which is bigger: 1019969 or 0?
1019969
Is 1228/4567 < -0.9?
False
Which is smaller: -1/4 or 2291471?
-1/4
Which is greater: 2/79 or 527946?
527946
Is -836739 not equal to -836507?
True
Which is greater: -362 or -175382/483?
-362
Which is greater: 73660226 or 73660227?
73660227
Is 33188827 less than 0?
False
Which is bigger: -53008 or -530079/10?
-530079/10
Which is smaller: 160658500 or 160658501?
160658500
Which is bigger: -3480687 or -3480693?
-3480687
Are -82/138707 and 0 unequal?
True
Which is smaller: 304330316 or 304330318?
304330316
Which is smaller: 0 or 40/9217747?
0
Which is greater: 0.154 or -27.194?
0.154
Which is greater: 555757 or 555750?
555757
Is -9669 at most as big as -8959?
True
Which is greater: -3101/70624 or -1?
-3101/70624
Which is bigger: -166 or -2516?
-166
Is -0.1 <= 40475.994?
True
Is -174/35165 bigger than 3?
False
Which is smaller: -65746 or -336?
-65746
Is -15309675 bigger than -15309674?
False
Is 52/164121 at most 0?
False
Which is smaller: 45675 or 45772?
45675
Which is smaller: 453920 or 453903?
453903
Which is greater: 1032 or -16.8?
1032
Is 150/17 at most 4059?
True
Which is smaller: 4367069 or 4366985?
4366985
Which is greater: 55 or 188285/3342?
188285/3342
Which is smaller: 3843124 or 3843115?
3843115
Which is smaller: -6731826 or -6731846?
-6731846
Is -8654685 less than -8654696?
False
Is -10780007 equal to -1?
False
Is -9/1920007 >= 0?
False
Which is smaller: 13/8943825 or 1?
13/8943825
Is 13736379 equal to -1/2?
False
Which is greater: 1528602 or 1528608?
1528608
Which is greater: 124 or 0.7341?
124
Is -324314648 not equal to 0.1?
True
Is -2029365 at most -2029387?
False
Is 2129 not equal to 2768?
True
Is -1485241/13 <= -114250?
False
Are 0 and -270/76519 nonequal?
True
Is 1/3 at least 11627982?
False
Which is bigger: 0 or 2693/35037?
2693/35037
Is 0 at most as big as 10530/307303?
True
Which is bigger: -0.33 or -99754/63?
-0.33
Is 0.03 smaller than 343621?
True
Are 0 and 4/14455337 unequal?
True
Is 1 not equal to -2/1688845673?
True
Which is smaller: -40734033 or -40734032?
-40734033
Which is smaller: 0.135 or 38/31?
0.135
Are 1 and 1683/29324 equal?
False
Which is greater: 0.2 or -32602782?
0.2
Are -3/8 and -753777 equal?
False
Which is bigger: 40502 or 39804?
40502
Is 0 less than 169/86721?
True
Which is smaller: -59661 or -59611?
-59661
Which is greater: 0 or -2/191734 | {
"pile_set_name": "DM Mathematics"
} |
Let v = 11.8716 + k. Let f = v - 104. Round f to two dps.
0.13
Suppose 3*g = g + 6400000. Suppose -5*o = -o + g. What is o rounded to the nearest one hundred thousand?
-800000
Let z = 41 + -77. Let x = z + -77. Let d = -66 - x. What is d rounded to the nearest ten?
50
Let f = 8469668282909 + -8469701545305.999962. Let k = f - -33262440. Let s = -43 + k. What is s rounded to five dps?
0.00004
Let g = -51 + 12. Let t be (-1 + -177)*g/6. Suppose 0 = 5*y - 4*r - 324 - 1114, 4*y - t = r. What is y rounded to the nearest one hundred?
300
Let z(n) = 175353*n - 354. Let j be z(18). Round j to the nearest 100000.
3200000
Let h = -18735 + 18736.49994. Let y = 115.5 - 114. Let m = h - y. What is m rounded to four decimal places?
-0.0001
Let v = 2840.7936 - 2841. Round v to one decimal place.
-0.2
Let u = 33.830002017 - 33.83. What is u rounded to six decimal places?
0.000002
Let l = -66892 + 67119.9507. Let u = 253.950687 - l. Let i = 26 - u. Round i to 6 decimal places.
0.000013
Let o = -977061 + 1602061. What is o rounded to the nearest ten thousand?
630000
Let l = -0.07 + 0.078. Let o = l - 0.0069. Round o to 3 dps.
0.001
Let k(x) = x**3 + 10*x**2 - 17*x + 15. Let h be k(-17). What is h rounded to the nearest ten?
-1720
Let n = -95.4166 - -101.17373. Let p = n - 0.35443. Let s = p + -5.4. Round s to 3 decimal places.
0.003
Let m = -206.7 + 209. What is m rounded to zero decimal places?
2
Let q = 91.43 + -91. Let g = 70.644 - 71. Let j = g + q. Round j to two decimal places.
0.07
Let p = -0.066 + 0.683. Round p to 2 dps.
0.62
Let i = 59097335.37999957 + -59097336. Let j = i - -0.62. What is j rounded to seven decimal places?
-0.0000004
Let m = -35.531 + 37.4. What is m rounded to one dp?
1.9
Suppose -5*r + 3*x + 1245003 = -6*r, 3734997 = -3*r + 3*x. Round r to the nearest 10000.
-1250000
Let d = 2741460 - 1488879. Let o = d + -2912581. Round o to the nearest one hundred thousand.
-1700000
Let j = 16 + -1. Let o = j - 24. Let a = 9.0012 + o. Round a to three decimal places.
0.001
Let b = -10.7741 + 19.7735. Let s = -9 + b. Round s to four dps.
-0.0006
Let y(v) = v**2 + 6. Let z be y(0). Let s = 6 - z. Suppose x + 1675853 + 3224147 = s. Round x to the nearest 1000000.
-5000000
Let g = -0.39 - 7.86. Let y = g - -7. Let z = -1.1 - y. What is z rounded to one dp?
0.2
Let f be 174 + -1 - (-1)/(-3)*3. Suppose -4*a - a + f = -k, -4*a = k + 199. What is k rounded to the nearest 10?
-190
Suppose 0*a - a - 26131496 = 0. Let r = 6551959 + -15283455. Let t = r - a. Round t to the nearest one million.
17000000
Let s = -1012 - -1011.999042. Round s to four decimal places.
-0.001
Let j = 2503.8 + -2292. Let q = 238 - j. Let z = -31 + q. Round z to zero decimal places.
-5
Let r = 11.30154 + -11.3. What is r rounded to three decimal places?
0.002
Suppose 2*u - 6 = -0. Suppose -u*w + 133723 = -2296277. Round w to the nearest one hundred thousand.
800000
Let w = -8 - -12. Let g(q) = -12005*q - 7. Let l be g(-1). Let j be l/10 + w/20. What is j rounded to the nearest 1000?
1000
Let a be (-1 - -4)*2/6. Let x be -762626 + 1*(a + 2). Let o = x + 1432623. Round o to the nearest 100000.
700000
Let g = -2.9299924 + 2.93. What is g rounded to 6 dps?
0.000008
Let x = 0.423 - 58.223. Let s = 64 + x. What is s rounded to the nearest 10?
10
Let n = 204.06 - 207. Let b = n + 1.2. Round b to one decimal place.
-1.7
Let v = 48 - 48.1314. Round v to two dps.
-0.13
Suppose 8*d = 3*d + 232875. Suppose 5*r = -0*r + d. Suppose 15 = -3*w - 0*w, -3*w - r = -3*l. What is l rounded to the nearest one thousand?
3000
Let q = -9.749 - -9.85. What is q rounded to one decimal place?
0.1
Suppose -5*m = -m + 4. Let v be (1520/(-24))/(2/6*m). Round v to the nearest ten.
190
Let i(r) = -1 + 7262*r**3 - 2 - 2 - 3*r. Let m be i(5). Suppose -3*s - m - 1822270 = 0. Round s to the nearest 100000.
-900000
Let a = -16.79 - -2.68. Let k = -14 - a. Let c = k + -0.10999966. What is c rounded to 7 decimal places?
0.0000003
Let l = 0.721 - 0.72100916. Round l to 5 dps.
-0.00001
Let x = 10.1526 - 6.352848. Let r = x + -3.8. What is r rounded to 5 dps?
-0.00025
Let i = 7778.0997 - 7801.0997065. Let k = -23 - i. Round k to six decimal places.
0.000007
Suppose 3*l = 5*l + 11100000. Round l to the nearest one hundred thousand.
-5600000
Suppose -30*c - 11 = -31*c. Suppose -8*n = -c*n. Suppose x - 4*x - 545 = -5*o, n = 3*o - 4*x - 327. What is o rounded to the nearest ten?
110
Let b = 1.6 + -11.1. Let u = 14.25 + b. Round u to the nearest integer.
5
Let g = 194 + -194.828. Let n = g + -0.262. What is n rounded to one decimal place?
-1.1
Let x = 3.985 + -0.97. Let v = 3.3 - x. What is v rounded to two dps?
0.29
Let u = -14.57651 + 14.57. Round u to 3 decimal places.
-0.007
Let n = 227.5890950207192 + -374616728.5890851207192. Let x = n - -374616564. Let d = 63 - x. Round d to 6 dps.
-0.00001
Suppose 24 = 20*k - 14*k. Suppose k*r - 13*r - 153 = 0. Round r to the nearest 10.
-20
Let v = -9 + 7.8. Round v to the nearest ten.
0
Let j = 1102325816.279999817 + -1102325813. Let v = j + -3.28. Round v to seven decimal places.
-0.0000002
Let g = -147 + 146.99727. Round g to 3 dps.
-0.003
Let t be (2 - -12)*4/8. Suppose -3*b + t = -2*c + 1, -4*c - 12 = 3*b. Suppose 183 = -b*f + 3*f. What is f rounded to the nearest ten?
60
Let g = -2.9927 - 3.005. Let z = 0.05 - -5.95. Let i = g + z. What is i rounded to three decimal places?
0.002
Let l = -591.19577 + 325.19694. Let v = 61 - -205. Let n = l + v. What is n rounded to 4 dps?
0.0012
Let k = -7024328 + 7024373.000016. Let n = 45 - k. Round n to 5 dps.
-0.00002
Let u be (96/(-9))/(-4)*3. Let o(m) = -175*m**3 + 10*m**2 - 3*m - 16. Let p be o(u). Round p to the nearest ten thousand.
-90000
Let q be 2*-108*19500/(-9). Round q to the nearest 100000.
500000
Suppose 5*z + 17129 = 3*z + 3*m, -4*z - 34256 = -4*m. Let u be 36/(-48) - z/4. Round u to the nearest 100.
2100
Let u = -3.1842556 + -23031487.8157444. Let j = 23031596.999921 + u. Let h = j - 106. What is h rounded to 5 dps?
-0.00008
Let p = 1521 - 17112. Let a = p + 28691. Round a to the nearest one thousand.
13000
Let g be (-78165584)/1078 - 2/11. What is g rounded to the nearest 1000?
-73000
Let r = 2278069031.00124 + -2277732445. Let v = -336525 + r. Let z = v + -61. What is z rounded to four dps?
0.0012
Let p = 1844 + -1844.0839. What is p rounded to 2 dps?
-0.08
Let l(s) = 30*s + 7. Suppose 0 + 2 = -b + 2*f, 0 = 2*b + f + 9. Let q be l(b). What is q rounded to the nearest ten?
-110
Let c = -6.6 - -6.59967. What is c rounded to three dps?
0
Suppose q + 1 + 4 = -2*a, 0 = 2*a + 10. Suppose 0*b + 243234 = -2*z + 5*b, -q*b = 2*z + 243274. Let v = 251627 + z. What is v rounded to the nearest 100000?
100000
Suppose 2 = -5*p + 17. Suppose 14 = 5*z + w, -2*z + 5 = -2*w - p. Let l(t) = 100002*t**2 - 5*t - 3. Let h be l(z). Round h to the nearest 1000000.
1000000
Let t = -7219 - -7220.00017. Let l = t - 1. Round l to four decimal places.
0.0002
Let u(p) be the first derivative of -p**4/4 - 3*p**3 - 4*p**2 - 10*p + 5. Let j be u(-8). What is j rounded to the nearest integer?
-10
Let i = -87.918 + 88. Let q = 0.153 - i. What is q rounded to two dps?
0.07
Let h = 143689663931.39897 - 143684886790. Let q = 4776893.4 - h. Let m = q - -248. What is m rounded to four dps?
0.001
Let w = 15817996653 + -15817996866.00000461. Let v = w - -213. Round v to 6 decimal places.
-0.000005
Let q = -0.2 + 0.37. Let w = -7.17 + q. Let a = w - -6.9975. Round a to three decimal places.
-0.003
Let s = -360.96 - -359. Round s to one dp.
-2
Suppose 5*m = 0, 2*x + 11374 = m - 1246. What is x rounded to the nearest 1000?
-6000
Let i = -25.1 + -6.9. Let s = -17 - i. Let q = s - 14.999932. Round q to 5 decimal places.
0.00007
Suppose -211576513 = -5*c + 188195007. Let s = c - 42154304. Suppose 5*a - s = 8*a. What is a rounded to the nearest one million?
-13000000
Let u = -433.35 - -425. What is u rounded to zero dps?
-8
Let s = -2.4 + 3.7. Let p = -0.06171439 - -1.36171467. Let r = p - s. Round r to seven dps.
0.0000003
Let k = -0.09 - -40.09. Let h = k - 39.99684. Round h to 4 dps.
0.0032
Suppose 0 = -5*r + 20, 3*v = -v - 5*r - 2088. Round v to the nearest 100.
-500
Let t = 1773.03 - 1798.0291. Let j = -0.23 - 24.77. Let i = j - t. What is i rounded to 3 decimal pla | {
"pile_set_name": "DM Mathematics"
} |
13).
2
Let g(x) = x - 10. Calculate g(5).
-5
Let k(x) = -x**3 + 23*x**2 + 52*x - 43. Determine k(25).
7
Let l(u) = -7*u - 233. Give l(-34).
5
Let y(c) = -c**3 + 38*c**2 - 106*c + 11. Give y(35).
-24
Let n(v) = -v**3 - 7*v**2 - 11*v + 2. Give n(-5).
7
Let u(n) = 13*n + 2. Calculate u(3).
41
Let m(o) = -3*o + 12. Determine m(2).
6
Let v(z) = -z**3 - 5*z**2 + 5*z - 12. Give v(-6).
-6
Let i(n) = 2*n + 5. What is i(-4)?
-3
Let d(w) = -2*w**2 + 4*w + 3. Determine d(-3).
-27
Let x(j) = 5*j**2 - 65*j + 205. Give x(8).
5
Let j(h) = -h**3 + 7*h**2 - 6*h. Calculate j(7).
-42
Let p(q) = -q - 3. Determine p(3).
-6
Let t(d) = -d**2 - 17*d - 47. What is t(-12)?
13
Let q(i) = -3*i**3 - 5*i**2 - 4*i - 3. Calculate q(-3).
45
Let f(n) = n + 35. What is f(-24)?
11
Let z(c) = 9*c**3 + 2*c**2 - 6*c - 3. Determine z(-2).
-55
Let w(o) = -13*o**3 + 3*o**2 - 3*o - 2. Determine w(-1).
17
Let f(v) = -v**3 + 4*v**2 - 2*v - 1. Give f(3).
2
Let a(f) = 3*f**2 - 15*f - 6. Give a(4).
-18
Let c(p) = 2*p**3 + 3*p**2 - 2*p + 4. Determine c(-3).
-17
Let u(i) = -11*i - 60. Calculate u(-4).
-16
Let a(f) = 7*f**2 - 8*f. Calculate a(-4).
144
Let g(u) = u**3 - 14*u**2 + 12*u + 6. Calculate g(13).
-7
Let g(z) = 6*z**2 + 17*z + 1. Calculate g(-3).
4
Let q(z) = -13*z**2 - 53*z - 6. Calculate q(-4).
-2
Let v(m) = m - 1. Give v(16).
15
Let n(k) = 16*k + 2. What is n(-1)?
-14
Let a(i) = 4*i + 27. Determine a(-8).
-5
Let q(o) = o**3 + 8*o**2 + 9*o + 4. Give q(-3).
22
Let y(s) = -s + 3. Calculate y(-14).
17
Let k(j) = j**3 - 4*j**2 - 3*j - 7. What is k(5)?
3
Let y(k) = k**2 + 3*k - 14. Give y(-5).
-4
Let u(o) = 2*o**3 - 6*o**2 + o + 1. Give u(2).
-5
Let l(u) = -u**2 + 5*u + 3. What is l(7)?
-11
Let f(o) = -69*o - 82. Give f(-1).
-13
Let n(k) = -k**3 + 7*k**2 - k + 9. Determine n(7).
2
Let q(g) = -g**2 + 15*g + 39. Determine q(19).
-37
Let v(y) = y**2 + 3*y - 15. Give v(3).
3
Let r(m) = m**3 + 17*m**2 + 13*m - 32. What is r(-16)?
16
Let x(z) = 3*z - 6. Calculate x(2).
0
Let r(m) = 6*m - 5. What is r(6)?
31
Let c(f) = f**3 - 43. Calculate c(0).
-43
Let i(b) = -37*b**2 + 2*b - 1. Determine i(1).
-36
Let q(z) = 2*z**2 - 24*z + 5. Determine q(12).
5
Let g(f) = f**2 + 7*f - 15. Calculate g(-7).
-15
Let x(a) = -a**3 + 7*a**2 - 8*a + 6. What is x(6)?
-6
Let p(g) = 3*g**2 - 6*g - 2. What is p(-7)?
187
Let g(w) = 2*w**2 - 42*w - 36. Give g(23).
56
Let i(z) = 5*z - 71. Determine i(13).
-6
Let o(y) = 27*y + 2. Calculate o(3).
83
Let n(s) = -5*s**2 - 56*s + 4. Determine n(-11).
15
Let b(u) = u**2 - 13*u + 12. Calculate b(10).
-18
Let k(i) = i**3 + 13*i**2 + 37*i + 12. Calculate k(-9).
3
Let l(b) = b**2 - 8*b - 27. Determine l(11).
6
Let y(b) = b**3 + 5*b**2 - b + 12. Determine y(-6).
-18
Let d(m) = 25*m + 208. Give d(-9).
-17
Let c(k) = -10*k**2 - 111*k - 3. What is c(-11)?
8
Let u(r) = 14*r - 76. What is u(6)?
8
Let k(a) = -29*a - 3. What is k(-2)?
55
Let o(j) = j**3 - 8*j**2 + 3*j + 3. Give o(8).
27
Let w(r) = -14*r + 84. Calculate w(6).
0
Let p(s) = -s**3 + 5*s**2 - 5*s + 7. Calculate p(4).
3
Let z(x) = -x**2 + 17*x - 56. What is z(13)?
-4
Let h(c) = -11*c - 8. What is h(-2)?
14
Let g(b) = -b**2 + 5*b + 1. Give g(4).
5
Let t(v) = -v**2 - 27*v - 127. Determine t(-21).
-1
Let a(k) = -2*k**2 + 13*k - 8. What is a(10)?
-78
Let w(k) = -53*k - 572. Give w(-11).
11
Let o(f) = f**3 - 5*f**2 + 5*f - 4. Give o(2).
-6
Let l(c) = -c - 2. Calculate l(-8).
6
Let k(n) = -n**2 - 18*n - 104. Calculate k(-11).
-27
Let w(s) = s**2 + 8*s - 4. Calculate w(6).
80
Let b(l) = -l**2 + 7*l + 5. What is b(7)?
5
Let p(r) = -r**3 - 14*r**2 + 15*r + 4. Calculate p(-15).
4
Let d(g) = g**2 + 14*g + 6. Give d(-12).
-18
Let i(k) = -k**3 + 15*k**2 - 13*k - 43. Give i(14).
-29
Let i(z) = -z**2 + 3*z + 14. Give i(8).
-26
Let h(m) = -3*m + 30. Give h(5).
15
Let z(p) = p**3 - p**2 + 2. Determine z(-1).
0
Let r(c) = c**3 - 26*c**2 - 2*c + 57. What is r(26)?
5
Let x(t) = 8*t - 5. Calculate x(0).
-5
Let p(o) = o**3 - 18*o**2 - 2*o + 41. Calculate p(18).
5
Let y(j) = -3*j + 13. Determine y(4).
1
Let h(v) = 9*v + 32. Give h(-5).
-13
Let u(k) = -5*k**2 - 53*k - 2. Give u(-11).
-24
Let l(x) = -4*x**3 - 17*x**2 - 18*x - 2. Give l(-1).
3
Let t(y) = -22*y + 108. Give t(10).
-112
Let z(n) = -n**3 - 2*n**2 + 2*n + 2. Calculate z(-3).
5
Let p(w) = -w**3 + 6*w**2 + 8*w - 16. Determine p(5).
49
Let b(m) = -m**2 - 3*m - 4. Determine b(-3).
-4
Let b(n) = n**3 + 14*n**2 + 15*n + 31. Calculate b(-13).
5
Let x(p) = -8*p + 15. Calculate x(2).
-1
Let q(x) = -x**2 - 6*x + 10. Calculate q(-6).
10
Let k(m) = m**2 + 12*m - 4. Determine k(-12).
-4
Let m(f) = 2*f**2 - 12*f. Give m(3).
-18
Let t(x) = -x**2 + 20*x + 102. Calculate t(-4).
6
Let m(p) = -p**2 - 3*p - 2. Give m(-4).
-6
Let w(h) = -18*h + 3. Determine w(1).
-15
Let y(s) = -s - 8. What is y(4)?
-12
Let f(m) = m**2 - 5*m + 4. Calculate f(3).
-2
Let h(g) = -g**3 + 11*g**2 + 13*g - 2. What is h(12)?
10
Let d(r) = 7*r + 33. What is d(-5)?
-2
Let r(l) = l - 17. Determine r(0).
-17
Let y(v) = -3*v + 27. Give y(9).
0
Let f(k) = k**2 + 7*k - 1. Give f(-7).
-1
Let w(s) = s**3 + 4*s**2 + 5. Determine w(-3).
14
Let q(b) = b. Determine q(-11).
-11
Let a(g) = 16*g - 5. Give a(2).
27
Let u(w) = 112*w - 118. What is u(1)?
-6
Let m(b) = -b**2 - 14*b + 8. Determine m(-7).
57
Let x(s) = -12*s - 101. What is x(-17)?
103
Let h(f) = 2*f - 31. Calculate h(3).
-25
Let i(h) = h**2 - 12*h - 8. Determine i(11).
-19
Let x(o) = -13*o**3 + 2*o**2 + 3*o - 3. Calculate x(1).
-11
Let i(l) = l**3 + 2*l**2 - l + 2. Calculate i(-3).
-4
Let r(s) = s**3 + 41*s**2 + 40*s - 9. Determine r(-40).
-9
Let t(n) = n**3 + 10*n**2 - 29*n - 60. Calculate t(-12).
0
Let t(b) = -b**3 + 14*b**2 + 13*b + 37. Calculate t(15).
7
Let x(z) = 36*z - 26. Determine x(-3).
-134
Let j(g) = -3*g**2 + 3*g - 2. What is j(-3)?
-38
Let a(s) = s**3 + 3*s**2 - 2*s - 3. Determine a(-2).
5
Let t(i) = -i**2 + 3*i - 11. Give t(9).
-65
Let f(h) = h**2 + h + 4. Determine f(6).
46
Let v(w) = w**2 + 22*w + 76. Determine v(-5).
-9
Let r(t) = -t + 13. Calculate r(10).
3
Let o(n) = 36*n**2 + 2*n - 1. Give o(1).
37
Let r(p) = -p**3 - 3*p**2 + 12*p + 4. Give r(-5).
-6
Let z(d) = d**3 - 4*d**2 + 21*d - 100. Determine z(4).
-16
Let o(m) = m**2 - 7*m - 11. Determine o(8).
-3
Let x(r) = r**3 + 8*r**2 - 6. Give x(-7).
43
Let h(n) = -18*n**3 + 72*n**2 - 3*n - 1. What is h(4)?
-13
Let p(z) = -27*z + 85. Calculate p(3).
4
Let b(t) = -t + 4. Calculate b(10).
-6
Let f(k) = -k**3 - 32*k**2 - 30*k + 42. Calculate f(-31).
11
Let r(d) = -d**3 - 22*d**2 + 24*d + 22. What is r(-23)?
-1
Let t(f) = -14*f - 171. Calculate t(-14).
25
Let k(i) = i**3 - 19*i**2 - 19*i - 16. Give k(20).
4
Let d(q) = 9*q - 47. What is d(6)?
7
Let i(d) = -2*d - 28. Calculate i(-5).
-18
Let y(v) = 2*v**3 + v**2. Calculate y(1).
3
Let l(b) = -2*b**2 + 9*b - 14. Give l(4).
-10
Let s(m) = -9*m**3 + 2*m**2 + 11*m - 12. Determine s(1).
-8
Let u(q) = q**2 + 7*q - 10. Calculate u(-8).
-2
Let l(z) = -z**3 + z**2 - z - 3. Give l(4).
-55
Let k(w) = -2*w + 36. Calculate k(22).
-8
Let c(y) = -y**2 + 7*y - 6. Determine c(3).
6
Let i(n) = -61*n + 243. Calculate i(4).
-1
Let j(n) = n**3 - 10*n**2 + 7*n + 1. Determine j(9).
-17
Let x(m) = -3*m**2 + 3*m + 1. What is x(-2)?
-17
Let c(r) = -5*r**3 - 3*r**2 + r + 2. What is c(-1)?
3
Let p(a) = -a**2 + 7*a - 8. Calculate p(8).
-16
Let l(w) = 45*w - 1. Determine l(1).
44
Let f(q) = -2*q**2 + 73*q + 117. Determine f(38).
3
Let d(k) = -k**3 + 4*k**2 + 13*k - 8. Give d(6).
-2
Let t(m) = -5*m + 6. Determine t(-7).
41
Let j(v) = -19*v - 23. Give j(-2).
15
Let i(u) = 11*u**2 + 5*u - 2. What is i(2)?
52
Let p(h) = -19*h + 19. What is p(3)?
-38
Let h(u) = -21*u + 15. Calculate h(4).
-69
Let n(z) = -8*z - 59. Give n(-9).
13
Let y(u) = u**2 - 6*u - 58. Calculate y(11).
-3
Let t(a) = -9*a**2 - 28*a - 3. Determine t(-5).
-88
Let f(n) = -n**3 + 14*n**2 - 17*n - 84. Calculate f(12).
0
Let r(q) = -q**3 + 15*q**2 + 53*q + 43. Determine r(18).
25
Let g(r) = -3*r**2 - 11*r + 54. Give g(-7).
-16
Let h(r) = r**2 - 6*r - 4. Calculate h(6).
-4
Let a(g) = g**2 + 22*g + 89. Give a(-17).
4
Let h(d) = 2*d - 31. Determine h(11).
-9
Let d(t) = -t**3 - 8*t**2 + 9*t - 6. Give d(-9).
-6
Let t(g) = 2*g**3 + 19*g**2 - 12*g - 22. Give t(-10).
-2
Let q(d) = -d**2 - 6*d. Give q(-5).
5
Let h(g) = -g**2 - 16*g + 147. Calculate h(-22).
1 | {
"pile_set_name": "DM Mathematics"
} |
et l = 0 + m. Solve -4*v - 5 = l, -4*k - 16 = -v for k.
-5
Suppose v + 4*l - 89 = 5*l, 3*v - 4*l - 264 = 0. Let p be v/22 - (30/55)/3. Solve p*q + 3*w = -2, -6*q + q - 4 = 3*w for q.
-2
Let x(f) = 37*f - 39*f - 2 - 1 + 0. Let b be x(-4). Solve b*u - 12 = -2*v, -5*u = -0*v + v - 16 for v.
-4
Let f = 9 + -15. Let o = f - -21. Suppose -4*q + 7 = 3*l, 0 = -3*q + 2*l - l + o. Solve 5*m - z - 1 - 16 = 0, -q*z + 16 = m for m.
4
Suppose 0 = 2*x + 6 + 14. Let f be (-4)/x + (-168)/(-30). Suppose -2335*u + 2345*u - 10 = 0. Solve -m + 5*q - 3 = -u, -5*q = -3*m - f for m.
-2
Suppose 4*x = 4*q + 497 + 63, 2*x - 256 = -4*q. Let a be x/(-14) + (-6)/21. Let u be 2/a - (-32)/10. Solve 4*g + 2*v = -22, -u*g + 3*v - 34 = 8*v for g.
-3
Let i(a) = -a**2 + 32*a - 207. Let s be i(9). Solve s = 2*q + 5*p + 25, 2*p - 31 = 5*q + 4*p for q.
-5
Let c = -175 + 305. Let f = 133 - c. Solve 2*d = f*h + 12, 2*h - 3*d = -2*d - 7 for h.
-2
Let j be 308/(-20) - (-5)/((-25)/(-2)). Let v be j*5/(-15)*1/1. Solve -3*b = -2*b + 3*w + 17, -4*b = -v*w for b.
-5
Let y(m) = 5*m**3 - m**2 - 13*m + 13. Let t be y(1). Solve 5*q + t*z + 20 = -z, 2*q = -3*z - 7 for q.
-5
Suppose 80 = y + 19*y. Solve 2*m + y*q - 3 = 11, 9 = -m + 2*q for m.
-1
Let p be 3/((-2)/(16/(-6))). Let s = -39 - -31. Let i be 12/s - (-6)/p. Solve -4*x = -2*l - 11 - 17, 3*l + 3*x - 3 = i for l.
-4
Let v be 2 + 2 + (-152)/(-4). Let r = 59 - v. Let d = 22 - r. Solve -2*l + 4*q - 9 = -q, -d*l + 18 = q for l.
3
Let b(p) = 6*p + 16. Let o be b(6). Let h = 55 - o. Solve 2*q + 2*x + h*x - 27 = 0, -2*q - 8 = -2*x for q.
1
Let h = 239 + -218. Solve -h = 4*q - z - 0*z, -2*z + 2 = 2*q for q.
-4
Let c be ((-6)/(-14))/(8/168). Let p be 5/(5/c) + -4. Solve -25 = -p*n, -n = 3*q + 3 - 20 for q.
4
Let r be 8/(-28) - 300/(-21). Suppose 2*p - r = -2. Solve h + p*k - 29 = k, h - 4*k = -16 for h.
4
Let i = 4 + 3. Let v(w) = w**2 + w - 1. Let y be v(1). Solve -3*b - 3*a = -12, 2*b - i = -4*a + y for b.
4
Suppose 5*g + 5 = 0, 2*a = g - 3 + 8. Solve -2*p + 3 + 2 = -v, -2*v = 2*p - a for v.
-1
Suppose 0 = -3*l + 1 + 11. Solve 5*q + 40 = 3*x - 0, 3*x = l*q + 35 for q.
-5
Suppose -54*d + 60*d - 222 = 0. Suppose 0 = 38*z - d*z - 5. Solve -4*f - b = -f + 3, b = -4*f - z for f.
-2
Let b(r) = r**2 + 44*r + 168. Let y be b(-40). Solve -v = -4*v - h + 5, 2*v - 4*h = y for v.
2
Let j(y) = 19*y**3 + 3*y**2 - y - 1. Let f be j(1). Suppose -i + 3 = d, 3*d + 7 = i - 0*i. Solve i*p + 3 = -3*s - 15, 4*s + 4*p + f = 0 for s.
-2
Let n = -9 + 12. Suppose n*q + 0*q + 48 = 0. Let k = -11 - q. Solve k*d = 3*t + 23, 3*d = -d + 4*t + 20 for d.
4
Let j(r) = 15 + 0*r - r - 3*r + 3*r. Let t be j(12). Let f = 3 - -2. Solve -f*v - 2*b = -35, -t*v - 4*b + 5*b + 10 = 0 for v.
5
Let r be 162/2 - (-2 - 1). Let g be ((r/18)/7)/((-1)/(-3)). Solve i + 2*x = 2, 10 = -0*i + g*i - 2*x for i.
4
Suppose 0 = 5*x - 4 - 1. Let w = x - -7. Solve -3*p + 0*p - 2*k + 10 = 0, -3*p - k = -w for p.
2
Let b(p) = p**3 + 5*p**2 - 9*p - 10. Let z be b(-7). Let g be (-231)/z - (-4)/(-30). Solve g*j - 4*q + 20 = 3*j, 5*j + 6 = -q for j.
-2
Suppose q + k = -0*k + 8, 0 = -4*q - k + 20. Suppose 5*b + 4*u = -13 + 93, 4*u = q*b - 100. Solve -2*z - z - 5*j + 40 = 0, 5*z - j - b = 0 for z.
5
Suppose -5*q + 18 = 3. Suppose 5*k + 428 = -4*d, 3*d = -2*k + 8 - 182. Let c = k - -88. Solve -32 = -c*a + q*x, -x + 6 = 2*a - 0*x for a.
5
Let m be -4 + 2 - (-1)/(3/57). Let n(q) = -11*q - 2. Let k be n(2). Let d = k + 24. Solve 3*c = 5*b + m, d = b + c - 0*c + 5 for b.
-4
Suppose -k + 2 = -3, 0 = h - k + 6. Let y = h + 4. Let c = y - 1. Solve -c*m + 10 = -2*r - m, -r = 5*m + 5 for r.
-5
Let t(b) = -2*b - 28. Let r be t(-17). Suppose -r*v + 4*v - s = -9, -3*s + 17 = v. Solve 3*k - 2*k = -3*c, -v*k = -4*c for k.
0
Suppose -74 = -39*b + 121. Solve 4*f = -b*o - 37, 17 = -2*o + o - 4*f for o.
-5
Let x be (0 + -4 + 3)*1. Let k = x + 5. Let v be (-2 + k)/(3/6). Solve w + 4*w - t - 4 = 0, v*w + 2*t = 6 for w.
1
Suppose 3*x - 15 = -4*l, 5*x - 9 = 5*l + 16. Solve 0 = 2*f + 2*r + 4 + 4, -3*f - 22 = x*r for f.
1
Suppose -31*k + 640 = -15*k. Solve 0 = -r - 2*d - 14, 0 = -7*r + 2*r - 4*d - k for r.
-4
Let r = -374 + 398. Solve 3*w = -3*p, -r - 4 = 3*w - 4*p for w.
-4
Suppose 28*a - 20 = 24*a - 4*f, -5*a + 2*f = -18. Solve -a*u = -y - 4, 4*y + u - 2*u - 14 = 0 for y.
4
Let d be 8/(-72) - (3/27)/(-1). Solve d = -f - 5*h - 1, 3*f + 2 = -h - 1 for f.
-1
Suppose 0 = -k - 1, -3*i - 9 = -5*i + 5*k. Let c = 40 + -25. Suppose -2*j + 7 = f, c = 2*f - j - 4. Solve -2*r = i*b + 10, b = -5*r - 0*r - f for b.
-4
Let f = 68 - 71. Let u be ((-33 - f)/(-6))/1. Solve -4*c - 29 = u*v, 4*v = 6*c - 2*c - 16 for c.
-1
Let c(b) = -6*b**2 + 8*b - 7. Let i be c(1). Let m(o) = o**3 + 2*o + 5*o**2 + o - 2*o + 7. Let t be m(i). Solve -t*j + 5*k = 33, -2*k = 4*j - 6*k + 36 for j.
-4
Let c = 191 + -191. Solve c = -3*o + 3*s, o + 5*s - 12 = -30 for o.
-3
Suppose -2*b = 2*d - 2, 5*d = -4*b + 18 - 11. Solve -4*s + d*h = -5, 2*s = -s + 5*h - 10 for s.
5
Suppose -18 = 2*o - j - 24, 4*o = -4*j. Solve -o*x = 5*w - 4*w - 3, x + 2*w = 6 for x.
0
Let w(z) = -2*z**3 - 128*z**2 - 126*z + 5. Let p be w(-63). Solve l + 4 = -4*q + p*l, -2*l - 1 = q for q.
-1
Let b(l) = 9*l**3 - 3*l + 2. Let d be b(1). Suppose 4*g + x - 5*x = 16, -2*g + 4*x + d = 0. Solve c = g*h - 0*h - 3, 2*h - 5 = -3*c for c.
1
Let b(d) = -d**2 - 10*d + 14. Let q be b(-11). Solve -w = -q*g + 4*w + 11, -w + 2 = -2*g for g.
-3
Let y(h) = h**2 - 4*h + 3. Let i be y(6). Suppose -8*x = -i*x. Solve -3*z = -12, 4*k + 3*z - 24 = -x*k for k.
3
Suppose 11*l - 8*l - 3*v - 24 = 0, -v = l - 4. Solve -3 - l = -o - 5*z, z = -2*o for o.
-1
Let y(l) = 6*l - 12. Let r be y(-12). Let w = r + 88. Suppose x - 2*x + 8 = 0. Solve 5*o + x = -w*h, o = 4*h - o + 8 for h.
-2
Suppose -6 = 13*o + 7. Let c be 4*(-2)/(-1 - (o - -2)). Solve -c*w + 16 = 0, -4*g - w - 3*w + 20 = 0 for g.
1
Let o(q) = -11*q + 225. Let w be o(20). Solve -4*u = 3*h + 8, -w*h + 0*u - 3*u = 17 for h.
-4
Let q be (6 + (-4 - -1) + -3)/2. Solve 9 = -q*z + z - 2*m, -z - 4*m = 15 for z.
1
Let i(z) = -z - 11. Let g be i(-16). Suppose 4*c = g*c - 4. Solve -16 = c*y + 5*a, -y - a - 4 = 3*a for y.
-4
Let o be -1 - 546/(-98) - (-4)/(-7). Solve 0*g - 16 = -a + 3*g, o*a = 5*g + 29 for a.
1
Let o(k) = -11 + 14*k - 1 - k**3 - 22*k**2 + 8*k**2. Let g be o(-15). Let s = 23 + -20. Solve 0*l + 3*u = 4*l - 31, -s*l = 3*u + g for l.
4
Suppose -5 = 3*v - 11. Suppose -j - j + 5*x = 1, v*j - x - 3 = 0. Solve -2*n + 5*a = 23, 6 = -4*n - j*a - 4 for n.
-4
Let a = 0 - -3. Let d = 8 - a. Solve -5*m + 5*h - d = 0, 2*m = -7*h + 3*h - 20 for m.
-4
Let l(r) = -2*r**3 - 4*r**2 + 12*r + 1. Let w be l(-5). Let v be 78/w*(7 + 0). Solve b - 19 = 3*q, -b - 22 + v = 4*q for q.
-5
Suppose -8 + 40 = 2*b - 5*a, 0 = 2*b + 3*a. Let m be 9/b*2 + 2. Solve 2*h = 4*c - h - m, -4*c - 5*h + 45 = 0 for c.
5
Suppose 2*s + 5*t - 8 = 0, 3*t + 0*t = 2*s + 24. Let f be 2/s*((-180)/5)/4. Solve 13 = 4*u + d, u - 3 = -f*u + d for u.
2
Let p(a) = -9*a + 47. Let m be p(5). Suppose -j - 26 = -3*r, r + 22 = 3*r - 3*j. Suppose 3*q - q = r. Solve -2 = m*y, q*y - 4 + 0 = -4*f for f.
2
Let f be (-27)/(-3)*2/6. Let z be (-6)/(-18) - (-2)/(-6). Solve -3*v + 5*u - f*u - 18 = z, -2*u = 3*v + 6 for v.
-4
Let j(u) be the first derivative of 5*u**2 - 19*u - 47. Let m be j(3). Let g(r) = -2*r - 1. Let n be g(-2). Solve n*d = y + m, 2*d - 2*y + y = 9 for d.
2
Let w = 18 + -6. Let y be 16 + -29 + (7 - -9). Solve 3*r - r - 3 = -j, y*r = w for j.
-5
Suppose -5*x - 15 = 0, 0 = z + 6*x - 4*x + 1. Solve 2*v = -b - 2*v - 23, z*b = -3*v - 30 for b.
-3
Suppose -4*a - 4 = 0, 4*w + 39 = 2*w + a. Suppose -78 = 12*j - 342. Let p = w + j. Solve t - 15 = -4*f, p*f - 2 = -t + 7 for t.
3
Suppose -5*y + 13 + 24 = 3*j, 2*j - 8 = 0. Suppose -14 = -4*g + 2. Solve -y*a = -3*d - 19, g*d - 23 = a - 4*a for a.
5
Let a(j) = -j**3 - 7*j**2 - 7*j - 1. Let p be a(-6). Solve 3*h = f - 8, -3*h + p*f = -7*h + 21 for h.
-1
Let i = 43 - 17. Suppose -24*u = -i*u. Solve -2*k + u = -3*y - 1, k = y - 1 for y.
-3
Let y be -1*(-10)/3 - (-14)/21. Suppose 0 = -4*p - 2*a + 14, -a - 1 = -2*p + y*a. Solve -t - 3*t - 3*k = 2, -2*t + p*k - 10 = 0 for t.
-2
Suppose 195*b = 192*b + 6. Solve -l - 21 = -5*l - 3*w, -2*l = b*w - 12 for l.
3
Let z(q) = -q**3 - 22*q**2 + 28*q - 25. Let | {
"pile_set_name": "DM Mathematics"
} |
n 67*i**2 + 64*i**2 + 183*i**2.
314*i**2
Collect the terms in 2 + 16*u + 24*u - 9*u.
31*u + 2
Collect the terms in b**2 - 7*b**3 - 4*b**2 - 5*b**3.
-12*b**3 - 3*b**2
Collect the terms in 19*k**3 - 15 + 11 + 4.
19*k**3
Collect the terms in -49*g - 20*g + 6*g + 2*g.
-61*g
Collect the terms in -168 + 246 - 3*g - 2*g + 6*g.
g + 78
Collect the terms in 5*g**3 - 2*g**3 - 53*g**2 + 28*g**2 + 25*g**2.
3*g**3
Collect the terms in -3*k**2 - 150*k**2 - 40*k**2 + 24*k**2.
-169*k**2
Collect the terms in -3*n**3 + n**3 + 0*n**3.
-2*n**3
Collect the terms in 40*m - 10*m - 18*m.
12*m
Collect the terms in 4*b - 36 - 28 + 64.
4*b
Collect the terms in 705*r**3 - 352*r**3 - 347*r**3.
6*r**3
Collect the terms in 2*f**3 + 18 - 17 - 1.
2*f**3
Collect the terms in 2 - 2*k - 2 - 31*k + 1.
-33*k + 1
Collect the terms in 14*t + 8*t + 11*t - 36*t.
-3*t
Collect the terms in -54*n + 27*n + 21*n.
-6*n
Collect the terms in -5*g + 0*g + 62 + 106.
-5*g + 168
Collect the terms in -4*w**2 + 322847 - 322847 + w**2.
-3*w**2
Collect the terms in 5*p**3 + 29894*p + 5 - 29894*p + 3*p**3.
8*p**3 + 5
Collect the terms in 4*f**2 - 7*f**2 + 24*f**2 + 2*f**2.
23*f**2
Collect the terms in -7 - 6 - 4*d**2 + 13.
-4*d**2
Collect the terms in -9 + 9 - 311*f**2.
-311*f**2
Collect the terms in 3*k**2 + 9*k**2 + 4*k**2 - 15*k**2.
k**2
Collect the terms in 20*w**2 - 6 - 6 - 2*w**2.
18*w**2 - 12
Collect the terms in 4*i**3 - 62 - i**3 + 62.
3*i**3
Collect the terms in d**2 + 2*d**3 + 0*d**3 - d**2 + 8*d.
2*d**3 + 8*d
Collect the terms in 3*q + 8 - 2*q + 4*q.
5*q + 8
Collect the terms in z**3 + 18*z**2 - 14*z**2 - 22*z**2 + 18*z**2.
z**3
Collect the terms in -10*l + 2 - 8 + 6.
-10*l
Collect the terms in 446*f - 226*f - 220*f + 14*f**2.
14*f**2
Collect the terms in 2*j**2 - j**2 + j**2 - j**2.
j**2
Collect the terms in 28*k**2 - 3 - 25*k**2 + 2 + 5.
3*k**2 + 4
Collect the terms in -13 - 7 + 3*b**2 - 12 + 6.
3*b**2 - 26
Collect the terms in 10*w**2 - 114*w**2 + 66*w**2.
-38*w**2
Collect the terms in -25 + 25 - 9*q**2 - 16*q**2.
-25*q**2
Collect the terms in -1132*x**2 + 561*x**2 + 573*x**2.
2*x**2
Collect the terms in 21074 + q**3 - 42139 + 21065.
q**3
Collect the terms in 93 + 23*h**2 - 23*h**2 + 2*h**3 + 50.
2*h**3 + 143
Collect the terms in -2*z - 20 - 7*z + 6*z + z.
-2*z - 20
Collect the terms in 83*u + 2 + 297*u + 134*u.
514*u + 2
Collect the terms in -12*v**2 + 8*v**2 - 7*v**2 - 12*v**2.
-23*v**2
Collect the terms in -5*v**2 + 4*v**2 - 2*v**2.
-3*v**2
Collect the terms in -12*s**2 + 5*s - 4 + 4.
-12*s**2 + 5*s
Collect the terms in -10*b + 2*b - 3*b**2 + 8*b.
-3*b**2
Collect the terms in -r - 11*r + 3*r - 18*r.
-27*r
Collect the terms in 4439671 - 4439671 + 6*p**2.
6*p**2
Collect the terms in -10*m - 8*m + 27*m - 8*m.
m
Collect the terms in 2*p - 79*p - 14*p - 43*p.
-134*p
Collect the terms in 1 + 1 - 4*q**2 - 2.
-4*q**2
Collect the terms in -2 + 2*x + 9 + 5 + x.
3*x + 12
Collect the terms in -x**2 + x**2 + 10*x**3 + 2*x**3.
12*x**3
Collect the terms in -162*c - 244*c**2 + 162*c.
-244*c**2
Collect the terms in -24*o + 0*o - 56*o.
-80*o
Collect the terms in -2*s**2 - 10*s**2 + 2*s**2 + 2*s**2.
-8*s**2
Collect the terms in -317*l - 53*l**2 + 317*l.
-53*l**2
Collect the terms in 2 - 29*r - 1 - 1 - 2.
-29*r - 2
Collect the terms in -7*n**2 - 32 + 16 + 16.
-7*n**2
Collect the terms in 429*k - 431*k + 4 + 0.
-2*k + 4
Collect the terms in -6*q**2 - 13*q**2 + 5*q**2.
-14*q**2
Collect the terms in -33*s - 56*s + 96*s.
7*s
Collect the terms in -31*h**3 + 106*h**3 - 30*h**3 - 23*h**3 - 25*h**3.
-3*h**3
Collect the terms in -2 - 5*u**2 - 10 + 12.
-5*u**2
Collect the terms in 10*p**2 + 0*p**2 - 2*p**2 + 6*p**2.
14*p**2
Collect the terms in 8381*n - 8381*n + 25*n**2.
25*n**2
Collect the terms in 5 + 4*a - 2*a - 20.
2*a - 15
Collect the terms in 24 - 18*c**2 - 2*c - 24 - 6*c**2.
-24*c**2 - 2*c
Collect the terms in -3*g**2 + 6*g**2 + 21*g**2 + 4*g**3.
4*g**3 + 24*g**2
Collect the terms in 23153 - 23153 + 2*s.
2*s
Collect the terms in -291*d**3 + 9*d**3 - 275*d**3.
-557*d**3
Collect the terms in 266*m**2 + 74*m**2 + 41*m**2.
381*m**2
Collect the terms in 21 - 59 + 5*q**3 + 38.
5*q**3
Collect the terms in 14*q + 2*q + 2*q.
18*q
Collect the terms in 2772 + 4*z + 2770 - 5542.
4*z
Collect the terms in -77*q + 77*q - 13*q**3.
-13*q**3
Collect the terms in 31*z**3 - 37*z**3 - 69*z**3.
-75*z**3
Collect the terms in -50*f - 6 + 6 + 0 + 49*f.
-f
Collect the terms in 38*m**2 + 66*m**2 + 78*m**2 - m + 14*m**2.
196*m**2 - m
Collect the terms in -3*m**3 + 3*m**3 - 4*m**3 + 74*m + 6*m**3.
2*m**3 + 74*m
Collect the terms in -12*n - 33 + 33 + 31*n.
19*n
Collect the terms in 13*m**3 - 2*m + 0*m**3 - m**3 + m**3.
13*m**3 - 2*m
Collect the terms in 530*g - 530*g - g**3.
-g**3
Collect the terms in -137*s**3 + 284*s**3 - 135*s**3.
12*s**3
Collect the terms in -118*r**2 - 7*r**3 + 11*r**3 + 8*r**3.
12*r**3 - 118*r**2
Collect the terms in -4*a + 4*a + 3*a**2.
3*a**2
Collect the terms in 19*z + 14*z + 11*z - 31*z.
13*z
Collect the terms in -106 + 106 + 3*u.
3*u
Collect the terms in -33*l - 36*l + 103*l - 40*l.
-6*l
Collect the terms in 14*n + 13*n + 17*n - 55*n + 12*n.
n
Collect the terms in 3*g - 3*g - 25*g**3 + 21*g**3.
-4*g**3
Collect the terms in -104*y**2 + 86*y**2 - 22 + 22.
-18*y**2
Collect the terms in -165*g**3 - 5 - 141*g**3 + 2.
-306*g**3 - 3
Collect the terms in 511 + 4*m**3 - 511.
4*m**3
Collect the terms in 3*c**2 - 3*c**2 - 4*c**2 - 6*c**2.
-10*c**2
Collect the terms in 227 - 449 + 0*b**3 + 222 + 3*b**3.
3*b**3
Collect the terms in -3*w - 3*w + 0*w + 7*w.
w
Collect the terms in -16*b + 11*b - 41*b - 28*b.
-74*b
Collect the terms in 5 + 0 + 1 + 8*i - 2.
8*i + 4
Collect the terms in 9*z + 5*z + 10*z + 5*z - 30*z.
-z
Collect the terms in -42 + 42 + 8*y**2.
8*y**2
Collect the terms in 4 + 31*i**3 - 26*i**3 - 4.
5*i**3
Collect the terms in -22*n**2 + 37*n**2 + 27*n**2.
42*n**2
Collect the terms in -4*t - 3*t + 3*t + 3*t.
-t
Collect the terms in 40*a - 9*a - 15*a - 12*a.
4*a
Collect the terms in 12 + 390*s**3 - 9 - 386*s**3 - 3.
4*s**3
Collect the terms in 3*d**3 + 9*d**3 - 9*d**3.
3*d**3
Collect the terms in 55*o**2 - 503*o**2 - 122*o**2 - 145*o**2.
-715*o**2
Collect the terms in 4*w**3 - 9620214*w + 9620214*w.
4*w**3
Collect the terms in 73*u - 24*u - 24*u - 27*u.
-2*u
Collect the terms in 7 + 2*c - 7*c - 7.
-5*c
Collect the terms in 3*c + 29*c**2 - 17*c**2 + 41*c**2 - 3*c.
53*c**2
Collect the terms in -34*d + 14*d**3 + 104*d - 31*d - 39*d.
14*d**3
Collect the terms in -3*o + 220 - 220.
-3*o
Collect the terms in -4*v**3 - 56 + v**3 + v**3.
-2*v**3 - 56
Collect the terms in -1317*x**2 + 2633*x**2 - 1315*x**2.
x**2
Collect the terms in 10 - 5 + 139*f**2 - 5.
139*f**2
Collect the terms in 2705109*k + 2*k**2 - 2705109*k.
2*k**2
Collect the terms in 513*l**2 + 112*l**2 - 4*l**2.
621*l**2
Collect the terms in -9 + 21 - 5 + 2*v - 7.
2*v
Collect the terms in 37 - 8*m + 9*m - 37.
m
Collect the terms in 6*y - 25 + 15 + 10.
6*y
Collect the terms in -3*x + 3*x**3 - 12*x - 7*x + 22*x.
3*x**3
Collect the terms in -4*j + 539 - 539 + 22*j.
18*j
Collect the terms in 12*g + 4*g + 0*g.
16*g
Collect the terms in -6*p + 3*p + 13*p - 4*p - 7*p.
-p
Collect the terms in -4*r + 20 + 23 - 9.
-4*r + 34
Collect the terms in -20*r + 9 - 2*r**3 + 20*r.
-2*r**3 + 9
Collect the terms in -4*w**2 + w**2 + w**2 - 5*w**2.
-7*w**2
Collect the terms in -4 + 3 + 2*l**2 + 1.
2*l**2
Collect the terms in 4*o**2 + 0*o**2 - 7*o**2.
-3*o**2
Collect the terms in 1 - 8*p**2 + 19*p**2 - 7*p**2.
4*p**2 + 1
Collect the terms in 61187*q**2 + 4*q**3 - 61187*q**2.
4*q**3
Collect the terms in 3*w + 12*w - 124*w.
-109*w
Collect the terms in -5*g**3 - 2*g**3 - 7*g**3 + 4*g + 6*g**3.
-8*g**3 + 4*g
Collect the terms in 7*z**2 - 14*z**2 - 10*z**2 - 7*z**2.
-24*z**2
Collect the terms in 34*h**3 + 2 - 127*h**3 + 95*h**3 - 2.
2*h**3
Collect the terms in 3*q + 0*q + 0*q + 3*q.
6*q
Collect the terms in -9*m**2 + 21*m**2 - 14*m**2 + 134*m - 134*m.
-2*m**2
Collect the terms in 3*d**3 - 16530 + 16530.
3*d**3
Collect the terms in -16*w**2 - 9*w**2 + 29*w**2.
4*w**2
Collect the terms in -525*r**3 - 526*r**3 + 1057*r**3.
6*r**3
Collect the terms in -5 + 5 + 23*h - 17*h.
6*h
Collect the terms in 67*b + 2 + 58*b - 2 - 121*b.
4*b
Collect the terms in -10*s + 14*s**2 + s - 2 + 9*s.
14*s**2 - 2 | {
"pile_set_name": "DM Mathematics"
} |
4) - (-1)/(-2). Let m = 4 - v. Let n be (m/14)/(30/14). Sort n, -2/11, -2 in ascending order.
-2, -2/11, n
Let f = 1 + -4. Suppose u - 5*u = -0*u. Put 4, u, f in decreasing order.
4, u, f
Let m = 91 - 75. Put -5, -1, m, -4 in decreasing order.
m, -1, -4, -5
Let z = 21.5 + -22. Put 0, z, -3, -4/3 in increasing order.
-3, -4/3, z, 0
Let o(t) = -t. Let v be o(-2). Suppose 0 = 2*w + 4*q - 9*q - 2, 0 = w - v*q. Put w, 2, 5 in descending order.
5, 2, w
Let o = -43 - -43.2. Sort -0.4, o, 1/4, 0 in ascending order.
-0.4, 0, o, 1/4
Let h = 0.71 - 0.76. Sort 0.2, h, -5 in decreasing order.
0.2, h, -5
Let c be (-6)/(-8) - 115/20. Let u(n) = -n**3 + n**2 - 6. Let l be u(0). Let d be (9/l)/(3/8). Put d, c, 4 in decreasing order.
4, d, c
Let y be (2 - 1)*(-2)/(-2). Suppose -3*x + 4*q = -y, q = x - q - 1. Let a = -325 + 328. Sort a, -4, x.
-4, x, a
Let m = 8.2 + 362.8. Let f = m - 367.09. Let q = 0.09 + f. Put -5, q, 0 in increasing order.
-5, 0, q
Let r = -0.8 - -0.3. Put 1/4, r, 5 in decreasing order.
5, 1/4, r
Let p be (0 + 0)*(18/(-4))/9. Sort p, 0.4, -1, -4 in descending order.
0.4, p, -1, -4
Let h = -52.7 + 55. Let m = h + -0.3. Sort 1, 3, m in decreasing order.
3, m, 1
Let o be ((-9)/(-6))/((-31)/4 - -1). Sort 3, -4, o, 2 in decreasing order.
3, 2, o, -4
Suppose r - 8 = 6. Let w = r + -14. Sort w, 3, 2.
w, 2, 3
Let z = 0.173 - 0.073. Sort 1.5, z, 0, -1.
-1, 0, z, 1.5
Let j = 160 - 160.3. Put 2, 4, j, 0.1 in ascending order.
j, 0.1, 2, 4
Let l = -4 - -4. Let p be 2*((2 - l) + -1). Let g = 5 - 8. Sort p, g, 1/2 in descending order.
p, 1/2, g
Suppose 93*w + 6 = 92*w. Put w, 0, -1, 1 in descending order.
1, 0, -1, w
Suppose 10*x - 9 - 21 = 0. Put x, -2, 5, -3 in increasing order.
-3, -2, x, 5
Let t = 15 - 15. Let r = 5 + -2. Sort r, t, 0.3 in descending order.
r, 0.3, t
Let v = 0.21 + -0.51. Sort v, -1/7, 4 in decreasing order.
4, -1/7, v
Suppose -s - 3 = 0, 0 = 3*t + 5*s - s + 3. Put t, -3, 2 in ascending order.
-3, 2, t
Suppose -3 = -t, -5*x + 0*t = t - 13. Sort x, -5, 5 in increasing order.
-5, x, 5
Let b(u) = u + 3. Let s(g) = g**3 - 8*g**2 + g - 10. Let h be s(8). Let z = -6 + h. Let w be b(z). Put 3, w, -4 in descending order.
3, -4, w
Let j = -10 - -11. Let u be (j/4)/((-5)/10). Put 1/5, -2, u in increasing order.
-2, u, 1/5
Let l = 26 - 25. Sort -4, 2, l in ascending order.
-4, l, 2
Suppose 5*a = 3*k + 6 + 28, 0 = 4*a - 4*k - 32. Let g be (-3)/(-12)*a*4. Suppose 0*p + p - g = 0. Put 3, -3, p in decreasing order.
p, 3, -3
Let w = -136 - -137. Let v be -1 + ((-1285)/(-4))/5. Let n = 63 - v. Put -3, n, w in increasing order.
-3, n, w
Let a(w) = 3*w - 102. Let t be a(14). Sort 4, t, 5.
t, 4, 5
Let s = 13 - 8. Let u(n) = -n**3 + 5*n**2 + 2. Let m be u(s). Put -1, 0.4, m in ascending order.
-1, 0.4, m
Let w = -7/6 + -1/3. Let q = 65 - 68. Let o be 6/20*(-3)/(-9). Put o, w, q in increasing order.
q, w, o
Let q = 4 + -4. Let a = q + 4. Sort -1, a, 3/2 in decreasing order.
a, 3/2, -1
Let a = -13 + 12.6. Let x = 5.4 + a. Sort x, -0.04, -4 in decreasing order.
x, -0.04, -4
Let l be (12/14)/((-1)/(-7)). Let t be (-6)/(-2)*2/l. Let z be (-52)/(-14) - (-8)/28. Sort z, t, -1.
-1, t, z
Let c be ((-81)/(-6) + -6)*2/10. Let t be (4/(-2))/(8/6). Put 5, t, c in ascending order.
t, c, 5
Let x = 83 + -88. Put x, 0, -9 in decreasing order.
0, x, -9
Let h(n) = 2*n - 29. Let w be h(12). Sort 2, -2, 3, w in increasing order.
w, -2, 2, 3
Let o = 1 - -3. Let j = 7.9 + -7.6. Put -0.1, o, j in decreasing order.
o, j, -0.1
Let m = 21 - 107/5. Sort -5, 2, 0.2, m in descending order.
2, 0.2, m, -5
Let s = 1 - 2. Let m = 1/46 - 99/322. Let f = -1.5 + 1. Sort m, f, s.
s, f, m
Let u = 3 + -3. Let t = 10 + u. Let q be -5*((-24)/t - -2). Sort -4, q, 1 in descending order.
q, 1, -4
Suppose 4*t = 3*t - 2. Sort -3, -4, t.
-4, -3, t
Let c = -2.09 + 0.09. Sort -5, c, 1/2 in decreasing order.
1/2, c, -5
Let q = -0.29 + 3.29. Let b = 0.2 - -0.3. Sort -1/6, b, q in descending order.
q, b, -1/6
Suppose 3*y - 2*x - 4 = -2*y, -4 = y - 2*x. Let u = 0 - 1. Sort -0.2, u, y in ascending order.
u, -0.2, y
Let h = 13 - 21. Let f be 1/(-6) - (-148)/24. Let a be f/(-24) + (-42)/h. Put -3, a, -4 in increasing order.
-4, -3, a
Let s = -16 - -12. Let u be (-3 + 14/4)*s. Put u, 1, 4 in descending order.
4, 1, u
Let x = -54.8 + 55. Put x, -4/5, 0, -4 in decreasing order.
x, 0, -4/5, -4
Suppose -4*g = -2*g + 2. Put g, -3, 33, 1 in decreasing order.
33, 1, g, -3
Suppose 29 + 7 = -3*k. Let d = 10 + k. Let c be (-2 + 0)*10/4. Sort c, 2, d.
c, d, 2
Suppose 6*l = 25 + 5. Put 4, 0, l in descending order.
l, 4, 0
Let m = -9150/7 + 1305. Sort m, 0.2, 4.
m, 0.2, 4
Let k = 14.2 + -14. Sort -2/13, 5, k.
-2/13, k, 5
Let p = -12.08 + 0.08. Let x = 17 + p. Put -2/7, -0.5, x in descending order.
x, -2/7, -0.5
Let d(o) be the third derivative of o**5/60 - o**4/8 - o**3 + 3*o**2. Let i be d(5). Sort -3, i, -4 in descending order.
i, -3, -4
Let c be -1 + 0 + 4/1. Suppose 2*b = 2*w - 2 - 4, 4*b = 3*w - 7. Let n be (-20)/10 + (-2 - -3 - 3). Sort b, c, n in ascending order.
n, b, c
Let x be (0 - 12/15)*-5. Suppose -3*p = -6, -p - 2 = -b - x*p. Put -3, b, 1/3 in decreasing order.
1/3, -3, b
Let x = 19/140 - -3/20. Let a = 1.93 - -0.07. Let y = 2 - a. Sort -2, x, y in decreasing order.
x, y, -2
Let w = 13.12 - 0.12. Sort -2/9, w, 1/5 in ascending order.
-2/9, 1/5, w
Let i be (-3)/(4/(16/6)). Let r be 0 + -1 + 1/1. Put i, 7, r in ascending order.
i, r, 7
Suppose -4*z - 10 = z. Let s(j) = 13*j**3 + j**2 - j - 1. Let r be s(-2). Let h be z/(-4) + r/126. Put 2, h, -2 in decreasing order.
2, h, -2
Suppose -24 = -4*m - 4*m. Put -6, -3, m in decreasing order.
m, -3, -6
Let c = 158 - 1424/9. Sort c, 5, -0.3.
-0.3, c, 5
Let q be (-3)/((-32)/(-44) + -1). Let b = 14 - q. Put 4, b, -4 in decreasing order.
4, b, -4
Let l = -25 + 23. Sort 22, l, 0.
l, 0, 22
Let h(v) = -v**2 - 7*v - 4. Let t be h(-6). Put t, 0.4, -1/4, -4 in ascending order.
-4, -1/4, 0.4, t
Suppose 2*s - s = 4*k + 41, 4*k + 31 = -s. Let g be (5 - 1)*k/6. Let u be (10/g)/(1/3). Put u, 1, 3 in descending order.
3, 1, u
Let o = -0.1 - -0.1. Let c = -1 - -3. Let d = 2 + c. Sort -2/9, d, o.
-2/9, o, d
Let p be 164/10 - (-9)/15. Suppose -4*j + 0 = 2*l - 14, -4*l = -3*j - p. Sort -0.4, j, 2/3.
-0.4, 2/3, j
Let l = 34.3 - 34. Let u be (4/10)/(3/(-5)). Put -1/3, u, l in decreasing order.
l, -1/3, u
Suppose 3*o = 2*g + 2*g + 44, -g = -5*o + 28. Let q = -12 - g. Put -3, q, 2 in descending order.
2, -3, q
Let p(o) = -o**3 + 10*o**2 + 12*o - 10. Let k be p(11). Sort k, 2, -5, -4 in decreasing order.
2, k, -4, -5
Suppose -25 = 2*z - 3*z. Suppose 2*v = 3*r - 58, -2*v + 3 = -r + z. Let i be 3/r*8/2. Sort 0.2, i, 3/8.
0.2, 3/8, i
Let f(n) = -n**3 + 2*n**2 + 8*n + 5. Let t be f(4). Put 4, -8, t, -4 in increasing order.
-8, -4, 4, t
Let k = -6/19 - -37/57. Let s = 1 - 1.3. Sort k, s, -1.
-1, s, k
Suppose 0 = 3*p - 5 - 10. Let j be 3 + (2 + 1 - 2). Sort j, p, 1 in descending order.
p, j, 1
Let c be (-6)/3*2*-1. Let p = -4 + 15. Let v = 11 - p. Sort v, c, -2 in decreasing order.
c, v, -2
Let b be 2/9 + 24/54. Put 3/2, b, 4 in increasing order.
b, 3/2, 4
Suppose g + 11*g - 3*g = 0. Put g, 8, -2/3, 3 in decreasing order.
8, 3, g, -2/3
Suppose 0 = 3*b + n - 10, 3*b - 5*n = b - 16. Let k be (-8)/b*(4 - 5). Sort 2, -3, k.
-3, 2, k
Suppose -2*z - 5*b + 20 = -0*z, -20 = -3*z - 5*b. Let c be (z + 0)*1/(-2). Suppose -4*u + 0*u - 12 = c. Put 4, 5, u in descending order.
5, 4, u
Suppose 6*u - 7*u = -10. Sort -4, -2/19, u.
-4, -2/19, u
Let n(z) = -z + 4. Let d be n(8). Put 0, d, 5 in decreasing order.
5, 0, d
Suppose 2*f + 5*z + 11 = -2*f, 16 = 4*f - 4*z. Let b = -1 - f. Sort -1/5, 0.9, b in descending order.
0.9, -1/5, b
Let a be (-46)/(-8) - (-2)/8. Let n(r) = 50*r**2 + 3 + 2*r - 51*r**2 + 4*r. Let x be n(a). Sort x, -4, 4 in descending order.
4, x, -4
Let q = -77.2 - -85. Let i = q - 8. Sort i, -2/5, 0.5.
-2/5, i, 0.5
Suppose 2*b + 6*c = 2*c + 4, c = 3. Suppose 4*s + 15 = s, 0 = -2*j + 4*s + 14. Let a = 4 + 1. Put j, b, a in ascending order.
b, j, a
Let c(t) = t**2 + 14*t + 34. Let m be c(-11). Sort -5, -12, m in descending order.
m, -5, -12
Let b = 29 + -19. Let a be 4/b - 8/(-55). Let s = -0.568 - 2.432. Sort s, -5, a.
-5, s, a
Let d = -48 - -51. Put 0, d, 4 in decreasing order.
4, d, 0
Let w = -4 - - | {
"pile_set_name": "DM Mathematics"
} |
he second derivative of -11/6*s**4 - 29/30*s**6 - 24*s + 0*s**5 + 0*s**3 + 0*s**2 + 0. What is the third derivative of j(x) wrt x?
-696*x
Let v(o) = -405*o**2 + 82*o - 15. Let s(p) = 809*p**2 - 166*p + 25. Let y(q) = 3*s(q) + 5*v(q). What is the second derivative of y(u) wrt u?
804
Suppose -54*s = 42*s - 33*s. Let i(p) be the second derivative of 1/2*p**3 + 0*p**4 + 2/5*p**5 + 4*p + s*p**2 + 0. What is the second derivative of i(q) wrt q?
48*q
Let p = -907 - -907. Let n(g) be the third derivative of p + 3/8*g**4 - 1/5*g**5 + 7*g**2 + 0*g**3 + 0*g. What is the second derivative of n(l) wrt l?
-24
Let o = 24 + -9. What is the first derivative of 4*c - c**2 - 5*c**2 - 4*c - o wrt c?
-12*c
Suppose 2*c = 5*c - 264. Find the first derivative of 8 + 42*n - c*n + 40*n wrt n.
-6
Let j(t) be the third derivative of -t**8/48 + t**7/30 - t**4/6 + t**3/3 - 48*t**2 - 2*t. Find the second derivative of j(f) wrt f.
-140*f**3 + 84*f**2
Let k(l) be the third derivative of 0*l**6 + 0 - 14*l**2 + 0*l**5 + 0*l**4 + 2/105*l**7 + 0*l + 1/3*l**3. Differentiate k(f) with respect to f.
16*f**3
Let b(o) be the third derivative of 0*o**5 + 0*o + 1/2*o**4 + 0*o**6 + 1/168*o**8 + 0 + 0*o**7 + 0*o**3 - 11*o**2. What is the second derivative of b(j) wrt j?
40*j**3
Let w(q) be the first derivative of -71*q**6/6 + q**3 - 4*q**2 - 33. What is the third derivative of w(v) wrt v?
-4260*v**2
Let a(g) = -921*g**2 + 952*g - 4. Let n(l) = 3672*l**2 - 3808*l + 15. Let m(q) = 15*a(q) + 4*n(q). Find the second derivative of m(o) wrt o.
1746
Find the second derivative of -1 - 9*n - 245*n**3 + 192*n**3 + 1 wrt n.
-318*n
Let n(h) be the first derivative of 13*h**7/105 - 7*h**3/3 - 3*h**2 + 6. Let r(z) be the second derivative of n(z). Differentiate r(m) with respect to m.
104*m**3
What is the second derivative of -520*d**3 + 134*d + 157*d - 96*d**3 + 76*d - 128*d**3 wrt d?
-4464*d
Let v(w) = -w. Let b be v(-4). Let h = -17 + 20. What is the third derivative of -2*g**3 + 2*g**2 + 2*g**3 + b*g**h - 6*g**2 wrt g?
24
Let l = -5 + 10. Suppose 0 = 3*k - 3*b - 24, -l*k + 0*b = b - 22. What is the third derivative of d**4 + k*d**3 + 6*d**2 - 3*d**4 - 5*d**3 wrt d?
-48*d
What is the third derivative of -6*x**2 + 16 + 506*x**4 + 270*x**5 + 27 - 506*x**4 wrt x?
16200*x**2
Let m(a) be the third derivative of 0*a**6 + 0 + 1/105*a**7 - 5/3*a**3 + 15*a**2 + 0*a**5 + 0*a**4 + 0*a. Differentiate m(i) with respect to i.
8*i**3
Find the third derivative of -79*i**2 - 17*i**4 - 48*i**2 + 17*i**4 - 16*i**6 wrt i.
-1920*i**3
Let w(n) = -72*n**4 + 3*n**3 + 38*n**2 + 3. Let u(g) = -145*g**4 + 5*g**3 + 75*g**2 + 5. Let d(i) = 3*u(i) - 5*w(i). Find the third derivative of d(s) wrt s.
-1800*s
Let f(j) = 11*j**3 - 4*j**2 + 69. Let h(r) = -13*r**3 + 5*r**2 - r - 68. Let b(a) = 5*f(a) + 4*h(a). Differentiate b(y) wrt y.
9*y**2 - 4
Suppose 12*c - 440 = -416. Let s(n) be the first derivative of 2*n**3 + 0*n + 3 + 1/2*n**c. What is the second derivative of s(z) wrt z?
12
Let r(z) = 2*z**2 - 3*z - 28. Let x be r(6). Find the second derivative of 21*k**2 - 20*k + x*k + 21*k wrt k.
42
Let z(j) = j**4 + j**3 + j**2 - 2. Let o(v) = -8*v**4 - 156*v**3 - 11*v**2 - 16*v + 12. Let n(b) = -o(b) - 6*z(b). Find the third derivative of n(w) wrt w.
48*w + 900
Suppose -9 + 17 = 4*p. Find the third derivative of 27*g**5 + 3*g**4 + p*g**2 - 3*g**4 - 32*g**5 wrt g.
-300*g**2
Let l(q) = 37 + q**3 + q - 2*q**3 + q**2 - 38. Let s(m) = -32*m**3 + 4*m**2 + 12*m - 12. Let j(y) = -12*l(y) + s(y). What is the third derivative of j(d) wrt d?
-120
Let u(v) be the first derivative of 89*v**4/4 - 2*v**3/3 - 85*v**2/2 - 326. What is the second derivative of u(t) wrt t?
534*t - 4
Let w(g) = -7*g**2 + 95*g - 326. Let q(o) = -6*o**2 + 85*o - 325. Let c(p) = -6*q(p) + 5*w(p). What is the first derivative of c(u) wrt u?
2*u - 35
Let i(w) = -2*w**2 + w + 3. Let h(y) = 7*y**2 + 3*y - 17. Let j(x) = -h(x) - 6*i(x). What is the first derivative of j(c) wrt c?
10*c - 9
Let j = 222 - 219. Let f = 2 + 0. Find the third derivative of -2*x**2 + 0*x**f - x**3 + 2*x**j wrt x.
6
Let w(q) be the third derivative of -3*q**2 - 7/3*q**3 + 0*q + 0 + 5/24*q**4. Differentiate w(c) with respect to c.
5
Let d = 54 - 43. What is the third derivative of -29 + 29 - 31*p**5 + d*p**2 wrt p?
-1860*p**2
Find the second derivative of 36 - 90 + 115*y**4 + 27 + 27 + 157*y wrt y.
1380*y**2
Let q(s) be the third derivative of -s**7/105 + 83*s**6/30 + 20*s**4 + s**3/3 - 154*s**2. What is the second derivative of q(y) wrt y?
-24*y**2 + 1992*y
Let s(u) = -u**2 - 10*u + 16. Let l be s(-11). Find the third derivative of -l*f**2 + 15*f**3 - f + f - 30*f**3 wrt f.
-90
Let p(c) be the first derivative of -13/3*c**3 + 5 - 3*c + 0*c**2. Find the first derivative of p(d) wrt d.
-26*d
Let d(o) = -140*o**3 - 11*o**2 - 21*o - 216. Let j(n) = 28*n**3 + 2*n**2 + 4*n + 43. Let t(y) = 2*d(y) + 11*j(y). Differentiate t(l) wrt l.
84*l**2 + 2
What is the third derivative of -5*t - t + 55*t**2 - 56*t**2 - 17*t - 4*t**3 - 6*t**4 wrt t?
-144*t - 24
Let p(y) be the second derivative of 62*y**3/3 + 593*y**2/2 + y + 26. What is the derivative of p(c) wrt c?
124
Let a be (6/(-10))/((-3)/105). Let q be (-6)/a - 46/(-14). Find the third derivative of -q*s**3 + 5*s**3 - 4*s**2 + 3*s**3 wrt s.
30
Let p(y) = -2*y**2 + 1. Let v(f) = -11*f**2 - 7*f + 107. Let m(t) = -3*p(t) + v(t). What is the first derivative of m(u) wrt u?
-10*u - 7
Suppose -7 = 4*h - 5*t, -h = h + 4*t - 16. Let y(f) = 2*f - 12. Let x be y(7). Find the third derivative of -2*a**x + 23*a**3 + a**h - 22*a**3 wrt a.
6
Let s(w) = 35*w**3 + w + 1. Let q be s(1). Find the second derivative of -q*b**4 - 237*b**2 + 237*b**2 + 9*b wrt b.
-444*b**2
Find the third derivative of 94*f**2 + 103*f**2 + 2948*f**5 - 2866*f**5 wrt f.
4920*f**2
Let z be (-5)/2*12/(-15). Let t = 7 + z. Find the first derivative of -3*d**4 + 2*d**4 + 3 + 0 - t*d**4 wrt d.
-40*d**3
Let g be -2 + (14 - (3 - 1)). Suppose g = 2*f, -4*f = n + 2*n - 44. What is the derivative of 4*k**2 + n + 2 - 7 wrt k?
8*k
Let c(g) be the second derivative of -g**6/6 + 19*g**2/2 - 2*g - 34. Find the first derivative of c(o) wrt o.
-20*o**3
Let x(b) = -b + 2. Let o be x(-2). Suppose 0 = -3*d + d + o. Differentiate -3 - d - 4*y + y - 4 with respect to y.
-3
Let r(x) be the third derivative of 0*x**6 + 0 - 8/105*x**7 + 0*x + 0*x**4 - x**2 + 0*x**5 + 16/3*x**3. What is the derivative of r(h) wrt h?
-64*h**3
Let f(j) = 38*j**2 + 111*j - 5. Let o(w) = 57*w**2 + 168*w - 8. Let q(h) = -8*f(h) + 5*o(h). What is the second derivative of q(v) wrt v?
-38
Let a(x) be the third derivative of 37*x**7/105 - 8*x**3 - 10*x**2. Find the first derivative of a(o) wrt o.
296*o**3
Let x(f) be the first derivative of -7/4*f**4 + 0*f**2 - 8*f + 0*f**3 - 14. What is the derivative of x(o) wrt o?
-21*o**2
Let o(c) = -c - 4. Let m be o(-2). Let y(b) = -b + 3. Let u be y(m). Find the third derivative of 36*g**3 - 36*g**3 - g**2 + u*g**4 wrt g.
120*g
Let l(o) be the second derivative of o**6/3 - o**5/20 - o**3 + 69*o. Find the second derivative of l(x) wrt x.
120*x**2 - 6*x
Let x(s) = 5*s - 7. Let n be x(10). Differentiate 48*f + 8 - n*f - 25*f with respect to f.
-20
Let j(n) = -n**2 - 7*n + 4. Let o be j(-7). What is the third derivative of 10*q**6 - 33*q**2 + 23*q**2 + o*q**6 wrt q?
1680*q**3
Let y = 47/4740 + -1/632. Let b(d) be the third derivative of -d**3 + 2*d**2 + 0*d**5 + 0 + 0*d - y*d**6 + 0*d**4. What is the first derivative of b(f) wrt f?
-3*f**2
Let g(b) be the first derivative of -73*b**3 - 178*b + 314. Find the first derivative of g(m) wrt m.
-438*m
Find the third derivative of 188*x**6 - 19*x**2 - 24*x**2 - 4*x**2 - 102*x**2 + 11*x**2 wrt x.
22560*x**3
Let x(q) be the third derivative of -q**8/168 + 17*q**6/40 + 19*q**4/3 - q**2 + 24*q. What is the second derivative of x(y) wrt y?
-40*y**3 + 306*y
Suppose -6*i - 2*q = -3*i + 39, i + 6 = -3*q. Let g be 10*(-5)/(i/12). Find the third derivative of -g*m**2 + 30*m**2 - 4*m**3 + 2*m**3 wrt m.
-12
Let r(b) = 724*b**3 + 4*b**2 + 6*b - 11. Let c(u) = -2897*u**3 - 16*u**2 - 27*u + 44. Let w(l) = -2*c(l) - 9*r(l). What is the third derivative of w(n) wrt n?
-4332
Differentiate -20 + 154*b**2 + 2*b**4 + 32 + 16 wrt b.
8*b**3 + 308*b
Let q(z) be the second derivative of 3*z**8/56 - 2 | {
"pile_set_name": "DM Mathematics"
} |
qrt(171)))))*-2)**2.
-8323200 - 22464*sqrt(19)
Simplify 2*sqrt(42)/(sqrt(216)/sqrt(4)) + 3*1*sqrt(448)*-2.
-142*sqrt(7)/3
Simplify 2 + (-1 + (sqrt(72) + 0 + sqrt(72) - sqrt(72)) + -2 - (2 + sqrt(72) + 1 + -1))**2 + -5.
22
Simplify (-4 + 3 + sqrt(1539)*-1 + -5*(sqrt(1539) + 0) + 6*((sqrt(1539) - (sqrt(1539) + 2*sqrt(1539) + -5)) + sqrt(1539)) + 5)**2.
-7344*sqrt(19) + 222772
Simplify -1*6*(((2*sqrt(300) - sqrt(300))/sqrt(12))/((-4*sqrt(25))/sqrt(5)) + -3)*4.
6*sqrt(5) + 72
Simplify ((5*sqrt(120)*-1)/(3*sqrt(90) - sqrt(10)))/(sqrt(4) + -2*sqrt(324) - sqrt(100)*1).
5*sqrt(3)/176
Simplify (3*(sqrt(704) - (-1*2*sqrt(704) + sqrt(704)) - sqrt(704) - (sqrt(264)/sqrt(6) + 1 + -3)))**2.
216*sqrt(11) + 3600
Simplify (-4*((sqrt(6292) - (sqrt(6292) + 1 + sqrt(6292))*6 - sqrt(6292) - (-1 + 0 + sqrt(6292))) + (-2*sqrt(6292)*5 - 4*sqrt(6292)*-1)))**2.
66880*sqrt(13) + 36342992
Simplify (sqrt(216)/sqrt(8))/sqrt(9) + ((sqrt(3) - (0 + sqrt(243))) + sqrt(3))**2 + -2 + 2 + sqrt(6)/(-1*sqrt(2)).
147
Simplify ((sqrt(1152) - (sqrt(1152) - (sqrt(1152) - (sqrt(1152)*2 + sqrt(1152))))) + 4*sqrt(36)/sqrt(2))/((6*-1*sqrt(600) + sqrt(600))*2).
3*sqrt(3)/25
Simplify 4 + ((-2 + sqrt(1300))*5)**2 - (-5*-1*sqrt(78))/(sqrt(42)/(sqrt(28)/sqrt(4))).
-1005*sqrt(13) + 32604
Simplify 2*(-6*((-1 + sqrt(432) - sqrt(432)) + sqrt(432))*4 - (sqrt(432) + sqrt(432) + sqrt(432) + 1 + 5 + (1 + sqrt(432))*3))**2*2.
-43200*sqrt(3) + 1556100
Simplify 6*(2*(-2*sqrt(80) + -2)**2 + 3*sqrt(80)*3 + -2).
600*sqrt(5) + 3876
Simplify ((sqrt(108)*-2)/((sqrt(24)/sqrt(2))/sqrt(2) + sqrt(6)))**2 + ((sqrt(90)*1 - sqrt(90))/sqrt(5))/(sqrt(9) - (1*sqrt(18)/sqrt(2) + sqrt(9))).
18
Simplify (3 + 5 + (sqrt(13) - ((sqrt(13) - sqrt(52)) + sqrt(13)))*2 + -2 + (-1*(sqrt(13)*-1 + 0 + sqrt(13)))**2 + -5)*2.
2 + 4*sqrt(13)
Simplify (-2*sqrt(6300)*2)**2 + (sqrt(6300)*1 - sqrt(6300))**2 + 5 - ((sqrt(6300) + sqrt(6300) + (sqrt(6300) - -3*sqrt(6300)) + -1)**2 + 3).
-125999 + 360*sqrt(7)
Simplify ((sqrt(21) + 2*sqrt(189) + (sqrt(189)/sqrt(3))/sqrt(3))/(sqrt(18)/sqrt(96) - (sqrt(363) - sqrt(363)*-2)))**2.
7168/17161
Simplify 4 + (5*(((sqrt(1331) + 0)*-5 + -2 + 0 + sqrt(1331))*5 + 3) + 1)**2.
74800*sqrt(11) + 13311160
Simplify 5 + (1*sqrt(76) + 4)**2*-2 - (1 + ((sqrt(76)*-2 - sqrt(76))**2 - sqrt(76) - sqrt(76))*-4)*-6.
-16589 + 64*sqrt(19)
Simplify (2*(-3 + ((sqrt(176) + 1*sqrt(176) - sqrt(176))*1 + 1*sqrt(176) + 3 - (sqrt(88)/(sqrt(200) - sqrt(8)) - sqrt(176)*-2))))**2.
11/4
Simplify (1 + 2 + sqrt(300) + sqrt(300) + 0 + (1*sqrt(300)*-1 + sqrt(300) - sqrt(300) - (4 + sqrt(300) + 0 + sqrt(300))))**2*-3.
-903 - 60*sqrt(3)
Simplify (6*5*sqrt(336)*-1)/(-5*((-1*sqrt(189) + sqrt(189) - sqrt(189))/sqrt(7))/sqrt(9)).
-24*sqrt(7)
Simplify ((sqrt(225)/sqrt(45) + sqrt(2880)*-1)**2 + sqrt(3645) + ((3 + sqrt(3645) + -1 - sqrt(3645)) + sqrt(3645) - sqrt(3645)))*-5 + 4 + -3.
-13234 - 135*sqrt(5)
Simplify (sqrt(567) + 1*sqrt(567) + 5 + sqrt(567) + sqrt(567) + 0 + sqrt(567) + 5)**2 - (5*sqrt(567)*-2*-5 + -2).
450*sqrt(7) + 14277
Simplify (-3*(((sqrt(114) - (sqrt(114) - -2*sqrt(114) - sqrt(114)))*-4 - sqrt(114))*-3)/((sqrt(24) + (sqrt(384)*-5 - sqrt(24)))/sqrt(4)))**2*-1.
-13851/400
Simplify 4*(-4 + (-2*(sqrt(1216)*3*6)**2 - ((sqrt(1216)*1 - sqrt(1216)) + 5)**2*-6) + -2).
-3151296
Simplify -2 + ((-3 + (sqrt(98) - 2*sqrt(98)) + (sqrt(98) - (5 + sqrt(98) + sqrt(98) + 1)) + -5)*-4 + -3 + 3)**2.
6272*sqrt(2) + 9406
Simplify -5*((3 + (sqrt(75) + (1 + sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75)))*3)**2 + 3 - (-3*(5 + (sqrt(75)*1)**2) + 3)).
-31755 - 2700*sqrt(3)
Simplify 3 + (-2*(sqrt(175) + (-2 + sqrt(175))**2) + (sqrt(7) - (sqrt(140)/sqrt(5))/sqrt(4)) + (1 + sqrt(175))**2)*3.
-543 + 120*sqrt(7)
Simplify (-3*(sqrt(152) - -1*sqrt(152)) - (4*(sqrt(152)*-2 - sqrt(152) - sqrt(152)) + sqrt(152)))/(sqrt(200) - (sqrt(200) - (1*1*sqrt(200) + sqrt(200)))).
9*sqrt(19)/10
Simplify -2 + (sqrt(450) + (sqrt(450)*3*-6 - sqrt(450)) + 2*(sqrt(450) - -3*sqrt(450)) + sqrt(450))/(sqrt(36) + (sqrt(576) - sqrt(576)*1)).
-45*sqrt(2)/2 - 2
Simplify (2 + 1 + sqrt(272) + 0 + sqrt(272)*2)**2 - 4*((-3 + sqrt(272) + -4 - sqrt(272))**2 + 0).
72*sqrt(17) + 2261
Simplify ((5*sqrt(91)*-1 + sqrt(91))/(4*sqrt(35)/sqrt(5)) + (sqrt(65) + (sqrt(65) - (4*sqrt(65) - sqrt(65) - sqrt(65))))/sqrt(5)*3 + -3)**2.
6*sqrt(13) + 22
Simplify ((2 + 0 + -2 + (sqrt(39)/(3*sqrt(3)) - ((sqrt(13) - (sqrt(13) + sqrt(78)/sqrt(6)))*-5 + sqrt(13))))*3)**2.
3757
Simplify ((1*sqrt(76)*3)/(-2*sqrt(4)*-1))**2 - ((sqrt(19) - (sqrt(19) + sqrt(38)/(-2*sqrt(2)))) + 0 + (sqrt(171) + sqrt(19))**2)*-3.
3*sqrt(19)/2 + 3819/4
Simplify (-6*((-4*sqrt(228)*1 - sqrt(228)) + sqrt(228) - sqrt(228))*5)/(-3*-2*sqrt(48) - (sqrt(48) - -3*sqrt(192))).
-75*sqrt(19)
Simplify 3*((sqrt(297)/(sqrt(144)*2))/((6*2*sqrt(6))/sqrt(2))*-4)**2.
11/192
Simplify -3*(3*-4*(sqrt(567) + (sqrt(567) + -2 + sqrt(567) + 3 - sqrt(567))))**2.
-980208 - 15552*sqrt(7)
Simplify ((-4*5*(((sqrt(539) + 1)*4 + sqrt(539) - sqrt(539)) + sqrt(539)))**2 + ((-1 + sqrt(539) + 1 + -1)*-2)**2)*-6.
-32391360 - 671664*sqrt(11)
Simplify -5*(sqrt(1275)*-1)/(4*sqrt(12)/sqrt(4)) + (5 + (sqrt(17) - -5*sqrt(51)/sqrt(3)) - (2 + -1*sqrt(68)))**2.
217*sqrt(17)/4 + 1097
Simplify ((1*sqrt(1331)*6)**2 - sqrt(1331))*2 - (-4*((sqrt(275) - (sqrt(275) + sqrt(275) + (sqrt(275) + 2 + sqrt(275) - sqrt(275))))**2 - sqrt(275)) + -2).
118*sqrt(11) + 100250
Simplify ((0 + 5*(4*sqrt(567) + sqrt(7)) + (sqrt(28)/sqrt(4) + 1)*6)*-4)**2.
36672*sqrt(7) + 4086448
Simplify ((sqrt(17) + (sqrt(17) - (sqrt(17) + -1)*-4))**2 - (sqrt(2057)*-4 - sqrt(17))) + (sqrt(510)/(sqrt(30)/sqrt(3)))/((sqrt(165)/sqrt(5))/sqrt(11)).
-2*sqrt(17) + 628
Simplify (((sqrt(209)*2*-6 - -1*sqrt(209)*1)*4)/(sqrt(1584)*-1*-4*-4))**2.
2299/2304
Simplify ((1*5*((sqrt(960) - -1*sqrt(960)) + sqrt(960) + sqrt(960)))/(-3*((sqrt(1452) - -5*sqrt(1452)*1) + sqrt(1452))))**2.
32000/53361
Simplify (-5 + 0 + (-2*(sqrt(15) - sqrt(135))*-6)/(sqrt(80) + -6*sqrt(80)*1))**2.
-12*sqrt(3) + 733/25
Simplify (4*3*sqrt(77) - (-6*sqrt(77)*-2 + sqrt(77)))/(-5*-1*((sqrt(28) + sqrt(7) - sqrt(7)) + sqrt(7))*-2) + -1.
-1 + sqrt(11)/30
Simplify (sqrt(231)/(sqrt(7) + sqrt(42)/(sqrt(30)/sqrt(5))))/((-3*sqrt(792))/sqrt(2)).
-sqrt(3)/36
Simplify (-2*sqrt(432))**2 + (sqrt(300) - (sqrt(300) - sqrt(300)*-1)) - (sqrt(75)*-3 - (sqrt(2700) + sqrt(27))/sqrt(9))**2.
-300 - 10*sqrt(3)
Simplify 6*(-6*6*((sqrt(104) - (-5*2*sqrt(104) + sqrt(104) + sqrt(104))) + sqrt(104)))/((sqrt(512) + sqrt(512)*2)*2 - sqrt(512) - 4*(-1*sqrt(512) - sqrt(512))).
-270*sqrt(13)/13
Simplify ((1*sqrt(2448)*5 - (sqrt(2448) + sqrt(2448)*2 + -1)) + 3 + -5 + (2 + 1 + sqrt(2448) - 4*(0 + sqrt(2448))))**2.
-48*sqrt(17) + 2452
Simplify (4*1*sqrt(572)*4)/(-6*(sqrt(1331) - ((sqrt(1331) - 2*sqrt(1331) - sqrt(1331)) + sqrt(1331) - sqrt(1331))) + sqrt(1331) - sqrt(1331)).
-16*sqrt(13)/99
Simplify (-6*(-5 + 3*(-4 + sqrt(128)*-1 - sqrt(128)) + 6*2*sqrt(128) + 4 + -1 + sqrt(128)))**2.
-56448*sqrt(2) + 232848
Simplify -4*((sqrt(297)*2)/sqrt(11))**2 - (1 + -2*sqrt(363) + -1)**2.
-1884
Simplify (2 + ((-1*sqrt(108))/sqrt(6) - (sqrt(18) + 0 + -3)) + (sqrt(18) + sqrt(36)/sqrt(2) + 5 - (-1 + sqrt(2592))))**2.
-792*sqrt(2) + 2713
Simplify 2*(1 + 2 + sqrt(3) + (sqrt(3) - (sqrt(243) + 4)) + 2*(0 + sqrt(75)*3 + sqrt(75))).
-2 + 66*sqrt(3)
Simplify -1*(((5*(sqrt(72) + -2 + sqrt(72)) - sqrt(72)) + 1 - ((sqrt(168)*-1)/sqrt(12) + sqrt(14))/(sqrt(63)/sqrt(81))) + -1).
-54*sqrt(2) + 10
Simplify 4 + ((-6*sqrt(108)*-2*3)**2 - (-2*(sqrt(108) + 0)*-4)**2).
133060
Simplify (3*2*sqrt(204))/(sqrt(108)/(sqrt(144) + sqrt(9))) + ((sqrt(204) - -2*sqrt(204))*-5)/(sqrt(192)*2) + 0.
225*sqrt(17)/8
Simplify 4*(3*sqrt(256)*-2*3)/(-2*sqrt(512)*-1).
-18*sqrt(2)
Simplify (-4*1*sqrt(1344) + 3*-1*sqrt(1344) + sqrt(1344))/(sqrt(84)/(-2*sqrt(12)) + (-2*sqrt(1008) - sqrt(1008))).
96*sqrt(3)/73
Simplify 2 + ((sqrt(1300) - (-3*sqrt(1300))**2) + sqrt(1300) - (sqrt(117) + 1 + sqrt(117) + sqrt(13))) + 5 + 3 + (sqrt(13) - -3*sqrt(208)).
-11691 + 26*sqrt(13)
Simplify 4*(-3 + -5*(-1*(sqrt(180) + -3 + sqrt(180)) + -2 + sqrt(180) + 0)**2).
-3632 + 240*sqrt(5)
Simplify -2 + (1 + 4*(1*-2*sqrt(637) + 3*sqrt(637)*-2)**2)*-5 + 2.
-815365
Simplify ((-6*-1*sqrt(112) + sqrt(112) - sqrt(112))/(1*sqrt(28)/sqrt(4)))/(-1*-5*sqrt(512)*-2*-3).
sqrt(2)/40
Simplify ((1* | {
"pile_set_name": "DM Mathematics"
} |
q?
1/15
What is prob of picking 2 s when two letters picked without replacement from {d: 14, s: 4}?
2/51
What is prob of picking 2 e and 1 x when three letters picked without replacement from {e: 4, c: 5, x: 1, v: 5}?
6/455
Three letters picked without replacement from ggggtghdtgtd. What is prob of picking 2 d and 1 h?
1/220
Calculate prob of picking 2 d when two letters picked without replacement from idigiaigiggid.
1/78
Calculate prob of picking 1 u, 1 b, and 1 g when three letters picked without replacement from gbuuggeueeeuee.
3/91
What is prob of picking 2 r when two letters picked without replacement from {r: 5, s: 9}?
10/91
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {i: 1, r: 3, a: 2, b: 4, f: 1}.
2/55
What is prob of picking 1 l and 1 v when two letters picked without replacement from lllllvllllll?
1/6
Two letters picked without replacement from kkokwquuuqqppupw. Give prob of picking 1 o and 1 q.
1/40
Two letters picked without replacement from bvxvf. What is prob of picking 1 v and 1 x?
1/5
Two letters picked without replacement from iuuxxppsxxxp. Give prob of picking 1 s and 1 i.
1/66
Calculate prob of picking 1 x and 2 g when three letters picked without replacement from xxmkxgggik.
3/40
What is prob of picking 1 m and 2 h when three letters picked without replacement from mmmhmhhhmmhhmh?
21/52
Four letters picked without replacement from muuooho. Give prob of picking 1 o, 1 h, 1 u, and 1 m.
6/35
What is prob of picking 1 c and 1 g when two letters picked without replacement from ccgcccgzz?
5/18
Calculate prob of picking 4 w when four letters picked without replacement from whwwwwhwwwwh.
14/55
Calculate prob of picking 2 h, 1 y, and 1 g when four letters picked without replacement from hyfyvgf.
0
Three letters picked without replacement from mmgllgmzgl. What is prob of picking 3 g?
1/120
Two letters picked without replacement from {p: 1, w: 1, f: 1, o: 2, d: 1, v: 1}. What is prob of picking 1 d and 1 v?
1/21
Four letters picked without replacement from lptjtjjljjljl. What is prob of picking 2 l and 2 j?
18/143
Two letters picked without replacement from {z: 6, i: 3, u: 6}. Give prob of picking 1 i and 1 z.
6/35
Two letters picked without replacement from {j: 2, m: 1, k: 2}. What is prob of picking 1 k and 1 m?
1/5
Four letters picked without replacement from vfheh. What is prob of picking 2 h, 1 v, and 1 f?
1/5
What is prob of picking 1 u, 1 f, and 1 p when three letters picked without replacement from fupwttpupwfut?
9/143
Calculate prob of picking 2 n when two letters picked without replacement from {x: 2, n: 4, y: 5}.
6/55
What is prob of picking 1 k and 1 f when two letters picked without replacement from ffkybyykfffyffkw?
7/40
Four letters picked without replacement from {t: 17, z: 2}. What is prob of picking 1 z and 3 t?
20/57
Two letters picked without replacement from ggxxtujuxxxuug. Give prob of picking 1 t and 1 u.
4/91
Two letters picked without replacement from uucccuuu. What is prob of picking 2 c?
3/28
Three letters picked without replacement from {v: 5, i: 2, l: 2, k: 3, h: 6}. What is prob of picking 2 k and 1 i?
1/136
Calculate prob of picking 2 w and 1 r when three letters picked without replacement from iwjkwrq.
1/35
What is prob of picking 1 f and 3 l when four letters picked without replacement from hlflfffwll?
8/105
Calculate prob of picking 1 w, 1 n, and 1 u when three letters picked without replacement from {o: 1, u: 3, n: 4, w: 4, a: 1}.
24/143
Calculate prob of picking 1 h, 1 c, and 2 t when four letters picked without replacement from hhhhttchhtt.
6/55
What is prob of picking 2 h and 2 d when four letters picked without replacement from {d: 2, i: 14, h: 2, f: 1}?
1/3876
Calculate prob of picking 1 o, 1 j, 1 d, and 1 n when four letters picked without replacement from doeoyojyndd.
3/110
Four letters picked without replacement from {j: 1, v: 9, y: 5, p: 5}. What is prob of picking 1 y and 3 v?
28/323
Calculate prob of picking 2 a and 2 u when four letters picked without replacement from {u: 11, a: 3}.
15/91
What is prob of picking 1 i, 1 h, 1 u, and 1 j when four letters picked without replacement from uuoihuojroj?
1/55
Four letters picked without replacement from rrrrrrrdrrrrrrr. Give prob of picking 4 r.
11/15
What is prob of picking 2 m when two letters picked without replacement from cycyrcamybbcmcy?
1/105
Three letters picked without replacement from {o: 4, m: 1, j: 1, p: 6, l: 4, b: 2}. Give prob of picking 2 l and 1 j.
1/136
Four letters picked without replacement from {r: 2, s: 2, b: 4}. What is prob of picking 2 b and 2 s?
3/35
What is prob of picking 1 f, 1 y, and 1 v when three letters picked without replacement from fjvfyyfyyfffvfyfjjf?
30/323
Three letters picked without replacement from {q: 7, p: 5, l: 4}. Give prob of picking 1 q and 2 l.
3/40
Four letters picked without replacement from {e: 4, t: 10, h: 1, d: 3}. Give prob of picking 1 h and 3 e.
1/765
Two letters picked without replacement from {w: 1, p: 1, t: 1}. Give prob of picking 1 w and 1 p.
1/3
What is prob of picking 4 o when four letters picked without replacement from {v: 2, i: 1, o: 1, m: 3}?
0
What is prob of picking 1 w and 3 i when four letters picked without replacement from kiwkkiikkikki?
2/143
Calculate prob of picking 1 i and 1 v when two letters picked without replacement from uikveui.
2/21
What is prob of picking 3 c when three letters picked without replacement from {g: 1, f: 6, b: 1, v: 1, c: 4, s: 3}?
1/140
What is prob of picking 2 z and 1 a when three letters picked without replacement from apazaazpttztptttzt?
1/34
Calculate prob of picking 1 m and 1 l when two letters picked without replacement from {l: 8, m: 3}.
24/55
Three letters picked without replacement from kkffkxkkknfaknxka. What is prob of picking 1 n, 1 k, and 1 f?
6/85
Four letters picked without replacement from {w: 8, q: 3}. What is prob of picking 2 q and 2 w?
14/55
Four letters picked without replacement from {b: 5, c: 4, t: 3}. What is prob of picking 3 b and 1 c?
8/99
Three letters picked without replacement from kkpqpqkq. What is prob of picking 1 p and 2 k?
3/28
Three letters picked without replacement from xzenn. Give prob of picking 1 z, 1 e, and 1 n.
1/5
Four letters picked without replacement from {l: 5, b: 14}. Give prob of picking 4 b.
1001/3876
What is prob of picking 2 x when two letters picked without replacement from xiix?
1/6
Two letters picked without replacement from {c: 2, n: 1, f: 1, r: 1, a: 1, t: 1}. Give prob of picking 1 t and 1 n.
1/21
Two letters picked without replacement from zzolprpi. Give prob of picking 1 i and 1 z.
1/14
Calculate prob of picking 2 r when two letters picked without replacement from {x: 2, r: 4}.
2/5
Calculate prob of picking 3 t when three letters picked without replacement from {t: 6, g: 2}.
5/14
Three letters picked without replacement from nfwnwfqffwfr. What is prob of picking 1 n, 1 f, and 1 w?
3/22
What is prob of picking 2 c when two letters picked without replacement from {h: 9, c: 2}?
1/55
What is prob of picking 3 h and 1 l when four letters picked without replacement from {z: 2, l: 2, x: 5, w: 1, h: 6}?
2/91
Two letters picked without replacement from {m: 2, g: 1, k: 2}. Give prob of picking 2 k.
1/10
Four letters picked without replacement from {f: 7, e: 12}. What is prob of picking 1 f and 3 e?
385/969
Calculate prob of picking 1 c and 1 r when two letters picked without replacement from {c: 1, m: 11, r: 3}.
1/35
Calculate prob of picking 1 d, 1 j, and 1 r when three letters picked without replacement from {e: 1, r: 1, d: 1, n: 2, j: 1, l: 1}.
1/35
Calculate prob of picking 1 q, 1 e, and 1 l when three letters picked without replacement from {l: 1, e: 2, q: 1}.
1/2
Three letters picked without replacement from {z: 3, h: 1, e: 5, d: 1, i: 4}. What is prob of picking 1 i and 2 d?
0
Calculate prob of picking 2 p, 1 o, and 1 k when four letters picked without replacement from ppdkoppd.
3/35
What is prob of picking 2 c and 1 q when three letters picked without replacement from {c: 2, q: 4, y: 4}?
1/30
What is prob of picking 1 v and 1 i when two letters picked without replacement from vviivviviiviiivviv?
9/17
Two letters picked without replacement fr | {
"pile_set_name": "DM Mathematics"
} |
ctor -4*p**2 + 49464*p + 445500.
-4*(p - 12375)*(p + 9)
Factor q**2 + 144*q + 959.
(q + 7)*(q + 137)
Let -15*l**3/2 - 1026*l**2 + 4194*l - 4224 = 0. What is l?
-704/5, 2
Factor 150*n**2 + 9429*n - 1323.
3*(n + 63)*(50*n - 7)
Solve -4*q**4 + 152*q**3 - 416*q**2 - 152*q + 420 = 0.
-1, 1, 3, 35
Factor -2*o**3 - 3910*o**2 - 1916864*o - 5715456.
-2*(o + 3)*(o + 976)**2
Factor 2*x**3 - 194*x**2/3 - 44*x.
2*x*(x - 33)*(3*x + 2)/3
Factor 2*u**3 + 464*u**2 - 52126*u + 51660.
2*(u - 82)*(u - 1)*(u + 315)
Factor -4*c**2/7 + 127592*c/7.
-4*c*(c - 31898)/7
Solve 2*x**4 + 660*x**3 - 29114*x**2 + 179028*x - 293040 = 0.
-370, 3, 4, 33
Determine j so that 3*j**3/5 + 286539*j**2/5 + 573069*j/5 + 286533/5 = 0.
-95511, -1
Factor 4*y**3 + 9532*y**2 + 5711904*y + 39517632.
4*(y + 7)*(y + 1188)**2
Factor 2*y**3/9 - 36052*y**2/9 + 36050*y/9.
2*y*(y - 18025)*(y - 1)/9
Let -9*d**5/2 - 39*d**4 + 603*d**3/2 + 1686*d**2 - 7074*d + 2160 = 0. Calculate d.
-10, -8, 1/3, 3, 6
What is i in i**4 + 1263*i**3 + 38416*i**2 + 275712*i - 315392 = 0?
-1232, -16, 1
Factor 5*a**3 + 4040*a**2 + 824100*a + 3232080.
5*(a + 4)*(a + 402)**2
Let 3*p**5/4 + 81*p**4/2 - 9111*p**3/2 - 253620*p**2 + 2082963*p/4 - 525213/2 = 0. Calculate p.
-67, 1, 78
Find d, given that 5*d**3 + 43540*d**2 - 5*d - 43540 = 0.
-8708, -1, 1
What is p in -p**5/3 + p**4 + 11*p**3/3 - 5*p**2 - 46*p/3 - 8 = 0?
-2, -1, 3, 4
Suppose 4*u**5 + 104*u**4 + 280*u**3 + 80*u**2 - 284*u - 184 = 0. Calculate u.
-23, -2, -1, 1
Suppose -2*p**3 - 5790*p**2 - 11572*p = 0. What is p?
-2893, -2, 0
Find u, given that -5*u**4/4 + 425*u**3/2 + 12125*u**2/4 - 21125*u/2 + 7320 = 0.
-16, 1, 2, 183
Suppose 20891648*w**4/9 + 1044595328*w**3/9 + 4352642134*w**2/3 + 8080100*w/9 + 1250/9 = 0. What is w?
-25, -1/3232
Determine p, given that 4*p**4 - 18064*p**3 + 144320*p**2 - 288512*p = 0.
0, 4, 4508
Factor 784*v**4 + 15707720*v**3 + 78684176617*v**2 + 67434924930*v + 14449722849.
(4*v + 40069)**2*(7*v + 3)**2
Factor m**4/2 - 394*m**3 - 791*m**2/2 + 789*m.
m*(m - 789)*(m - 1)*(m + 2)/2
Suppose 5*t**4 - 9920*t**3 - 129630*t**2 - 349720*t + 489265 = 0. What is t?
-7, 1, 1997
Find x such that 7*x**4/8 + 47*x**3 - 115*x**2/8 - 47*x + 27/2 = 0.
-54, -1, 2/7, 1
Factor o**4/4 - 17*o**3/2 - 273*o**2 - 1910*o - 2800.
(o - 56)*(o + 2)*(o + 10)**2/4
Factor 4*z**3 - 15504*z**2 - 46540*z - 31032.
4*(z - 3879)*(z + 1)*(z + 2)
Solve -4*i**4/3 - 430*i**3/9 - 84*i**2 - 30*i + 68/9 = 0.
-34, -1, 1/6
Let 3*b**2 + 30288*b + 121104 = 0. What is b?
-10092, -4
Factor 4*o**4 + 5484*o**3 + 2679924*o**2 + 534407684*o + 33543386904.
4*(o + 114)*(o + 419)**3
Factor -2*o**3 - 123696*o**2 + 247400*o.
-2*o*(o - 2)*(o + 61850)
Suppose -2*s**5/5 + 2814*s**4/5 + 8*s**3/5 - 11256*s**2/5 = 0. What is s?
-2, 0, 2, 1407
Factor -2*m**5 - 9084*m**4 - 13734960*m**3 - 6885574976*m**2 + 41809873152*m.
-2*m*(m - 6)*(m + 1516)**3
Factor -l**3/5 + 4212*l**2/5 + 9287*l + 76014/5.
-(l - 4223)*(l + 2)*(l + 9)/5
Factor -3*y**3/7 + 96*y**2/7 + 132*y/7 - 17424/7.
-3*(y - 22)**2*(y + 12)/7
Factor a**3/7 + 3598*a**2 + 125911*a/7 + 151086/7.
(a + 2)*(a + 3)*(a + 25181)/7
Determine k so that -4*k**5 + 52*k**4 + 420*k**3 + 684*k**2 = 0.
-3, 0, 19
Find y such that -5*y**2 - 10121340*y - 5122076169780 = 0.
-1012134
Solve l**2 + 115*l - 2096 = 0 for l.
-131, 16
Factor -i**2/3 - 4739*i.
-i*(i + 14217)/3
Find v, given that -v**3/3 + 2353*v**2/3 - 1415371*v/3 + 12173121 = 0.
27, 1163
Factor -s**2/6 + 1333*s/3 - 5324/3.
-(s - 2662)*(s - 4)/6
Suppose 3*i**3/5 + 1296*i**2/5 - 3*i/5 - 1296/5 = 0. Calculate i.
-432, -1, 1
Factor 4*m**3 - 7652*m**2 - 4*m + 7652.
4*(m - 1913)*(m - 1)*(m + 1)
Factor n**2/5 + 2246*n - 33735.
(n - 15)*(n + 11245)/5
Suppose 4*x**5 + 452*x**4 - 916*x**3 + 460*x**2 = 0. Calculate x.
-115, 0, 1
Factor -r**4/4 - 93*r**3 - 42453*r**2/4 - 768337*r/2.
-r*(r + 89)**2*(r + 194)/4
Find m such that m**5/2 - 91*m**4 + 1692*m**3 - 11888*m**2 + 36544*m - 41472 = 0.
4, 8, 162
Factor f**2 + 557*f - 19470.
(f - 33)*(f + 590)
Factor -3*r**2/2 - 7611*r + 306840.
-3*(r - 40)*(r + 5114)/2
Determine j, given that -j**5/5 + 193*j**4/5 - 7872*j**3/5 + 122368*j**2/5 - 704512*j/5 + 589824/5 = 0.
1, 16, 144
Factor -x**2 - 281*x - 1650.
-(x + 6)*(x + 275)
Factor -4*t**4 + 19872*t**3 - 59592*t**2 + 59584*t - 19860.
-4*(t - 4965)*(t - 1)**3
Find g, given that -60*g**5 - 1276*g**4 - 2424*g**3 + 3112*g**2 + 1332*g - 684 = 0.
-19, -3, -3/5, 1/3, 1
Factor 2*a**2 - 3184*a + 1222232.
2*(a - 946)*(a - 646)
Solve -h**5 - 505*h**4 - 66866*h**3 - 764108*h**2 + 2767992*h - 1936512 = 0 for h.
-246, -16, 1, 2
Factor -3*b**2/5 + 2019*b/5 - 326028/5.
-3*(b - 404)*(b - 269)/5
Factor -2*l**4/21 - 24244*l**3/21 - 10492456*l**2/3 + 20998768*l/3.
-2*l*(l - 2)*(l + 6062)**2/21
Solve 2*q**3/5 - 536*q**2/5 - 994*q - 4432/5 = 0.
-8, -1, 277
Factor -v**3/4 - 355*v**2/2 - 120153*v/4 + 527076.
-(v - 16)*(v + 363)**2/4
Determine k, given that 2*k**5/11 + 2*k**4/11 - 84*k**3/11 - 212*k**2/11 + 82*k/11 + 210/11 = 0.
-5, -3, -1, 1, 7
Find a such that 2066*a**2/9 + 10342*a/9 + 20/3 = 0.
-5, -6/1033
Suppose -2*v**2/5 + 1040*v - 274968/5 = 0. Calculate v.
54, 2546
Find o, given that -5*o**2 + 33070*o - 66120 = 0.
2, 6612
Factor 2*p**2 - 137316*p + 2356960482.
2*(p - 34329)**2
Factor 2*k**2/5 + 1106*k/5 - 21736/5.
2*(k - 19)*(k + 572)/5
Solve -165*c**3 + 1318*c**2 + 5461*c + 66 = 0 for c.
-3, -2/165, 11
Solve 3*h**2 - 151440*h + 1911172800 = 0.
25240
Solve -5*y**2 + 895*y + 45100 = 0 for y.
-41, 220
Suppose -r**2/3 + 621*r - 1862/3 = 0. Calculate r.
1, 1862
Suppose 288*c**5/5 - 52536*c**4 + 18341924*c**3/5 - 3929244*c**2 + 5775688*c/5 - 100320 = 0. What is c?
1/6, 1/4, 2/3, 75, 836
Solve -2*s**3 + 156*s**2 + 5670*s = 0 for s.
-27, 0, 105
Factor -2*j**3 + 256*j**2 - 5992*j + 39200.
-2*(j - 100)*(j - 14)**2
Determine c, given that -5*c**3 + 1860*c**2 - 198900*c + 4624000 = 0.
32, 170
Determine d so that 8*d**4 + 4406*d**3 + 25130*d**2 + 32682*d - 9810 = 0.
-545, -3, 1/4
Solve -71175*z**3 + 1423510*z**2 - 7117700*z + 1000 = 0.
2/14235, 10
Determine f so that -245*f**2/6 + 43960*f - 11831520 = 0.
3768/7
Factor -j**4 + 30*j**3 + 211*j**2 + 180*j.
-j*(j - 36)*(j + 1)*(j + 5)
Suppose 2738*a**4 + 1587300*a**3 + 225240066*a**2 - 1394593200*a + 2113540128 = 0. Calculate a.
-10836/37, 3
Suppose w**3/4 + 491*w**2/4 + 489*w/2 = 0. What is w?
-489, -2, 0
Suppose 2*o**2/3 - 273908*o + 28134597174 = 0. Calculate o.
205431
Find g such that 2*g**4/9 - 24*g**3 + 634*g**2/9 - 140*g/3 = 0.
0, 1, 2, 105
Determine t, given that t**3/6 - 617*t**2/6 + 126635*t/6 - 8644075/6 = 0.
187, 215
Suppose -4*g**5 + 384*g**4 - 8284*g**3 - 9456*g**2 + 17360*g = 0. Calculate g.
-2, 0, 1, 35, 62
Solve -o**3 - 3*o**2 + 106*o + 528 = 0 for o.
-8, -6, 11
Determine y so that y**3 - 2220*y**2 - 20061*y = 0.
-9, 0, 2229
Factor 5*a**3 + 990*a**2 - 5*a - 990.
5*(a - 1)*(a + 1)*(a + 198)
Determine b, given that -3*b**2 + 3180*b - 3177 = 0.
1, 1059
Factor -c**2/7 + 479*c/7 - 29970/7.
-(c - 405)*(c - 74)/7
Determine l so that -159*l**4/2 + 2409*l**3/2 - 1125*l**2 = 0.
0, 1, 750/53
Factor -r**3/6 - 233*r**2/3 - 30341*r/6 - 14938/3.
-(r + 1)*(r + 77)*(r + 388)/6
Suppose 554*n**4/3 + 922*n**3 - 18302*n**2/3 + 5030*n - 36 = 0. What is n?
-9, 2/277, 1, 3
Factor -4*g**2/5 + 332*g/5 - 728.
-4*(g - 70)*(g - 13)/5
Factor j**3/3 + 172*j**2/3 - 9020*j/3 + 34848.
(j - 22)**2*(j + 216)/3
Find u such that 2*u**4 - 5458*u**3 - 98798*u**2 - 258158*u - 164820 = 0.
-15, -2, -1, 2747
Determine z, given that 4*z**2/3 + 14351*z/3 - 1196 = 0.
-3588, 1/4
Factor -3*h**2 - 336126*h - 9415057323.
-3*(h + 56021)**2
What is n in 2*n**3/17 + 238*n**2 - 8098*n/17 + 4050/17 = 0?
-2025, 1
Factor 30*k**2 + 129*k - 159.
3*(k - 1)*(10*k + 53)
Factor 3*h**2/7 + 4341*h/7 + 47388/7.
3*(h + 11)*(h + 1436)/7
What is z in 2*z**5 - 24*z**4 - 422*z**3 - 500*z**2 + 2352*z - 1408 = 0?
-8, -4, 1, 22
Factor -13*o**2 + 26752*o/3 + 1372/3.
-(o - 686)*(39*o + 2)/3
Suppose 2*s**5/7 + 17588*s**4/7 - 2*s**3/7 - 17588*s**2/7 = 0. Calculate s.
-8794, -1, 0, 1
Let -6*w**2/5 - 64837*w/5 - 10806/5 = 0. Calculate w.
-10806, -1/6
Find q such that -468*q**5/11 + 1970*q**4/11 + 163872*q**3/11 + 428938*q**2/11 - 95616*q/11 + 360 = 0.
-15, -3, 1/18, 2/13, 22
Suppose -2*k**2 + 872*k - 4310 = 0. What is k?
5, 431
Factor 2*u**2 + 65829*u + 98739.
(u + 32913)*(2 | {
"pile_set_name": "DM Mathematics"
} |
1. Let g(p) = -d(p) - z(p). What is g(b(w))?
-4*w**2
Let l = 1 + -1. Let n(w) = 0*w + l*w - 2*w**2. Let d(t) = -3*t + t**2 + 3*t. What is d(n(v))?
4*v**4
Let j(y) = -2*y**2 + 9*y. Let q(z) = -479*z. Determine q(j(a)).
958*a**2 - 4311*a
Let f(o) = 4*o**2 - 5*o. Let c(y) = -12*y**2 + 16*y. Let k(j) = -5*c(j) - 16*f(j). Let b(x) be the first derivative of 5*x**3/3 + 93. Determine k(b(a)).
-100*a**4
Let x(d) = 2*d. Let q = -22 - -76. Let l = -37 + q. Let j(g) = g + g - l + 17. Determine x(j(u)).
4*u
Let t(f) be the second derivative of 0 + 1/8*f**4 - 3*f + 0*f**3 + f**2. Let o(h) be the first derivative of t(h). Let m(k) = -2*k. What is o(m(w))?
-6*w
Suppose -2*c = 3*w - c - 55, 4*c = -5*w + 94. Suppose 3*p = 4*g - 0*p - w, -g - 2*p = 1. Let x(h) = 3 + 0 - g + 2*h**2. Let y(n) = 2*n**2. What is x(y(r))?
8*r**4
Let b(h) = -3*h**2. Let n(j) = j**3 - 19*j**2 - 2*j + 39. Let p be n(19). Let r(t) be the first derivative of 0*t + 3/2*t**2 - p. Calculate b(r(c)).
-27*c**2
Let a(w) = -112*w + 56*w + 54*w. Let f(i) = 12*i**2 - 2 + 2. Determine a(f(s)).
-24*s**2
Let l(r) = 19*r**2 + 6*r. Let k(n) = n**2 + n. Let i(u) = -6*k(u) + l(u). Let h(z) = 2*z**2. Determine h(i(s)).
338*s**4
Let y(p) = -p. Let v(j) = -475*j. Determine y(v(o)).
475*o
Let c(l) = 2*l**2. Let o(a) = 29 - 9*a**2 - 11 - 18. Give o(c(y)).
-36*y**4
Let t(k) = -k**2. Let b(o) = -o + 4*o - 2*o. Determine b(t(m)).
-m**2
Let d(w) = -w. Suppose -4*b - p + 8 + 3 = 0, 5*p + 8 = b. Let n(x) = 5*x - b*x - 6*x. Determine n(d(c)).
4*c
Let g(t) be the first derivative of -t**3/3 + 1. Let c(k) = -61*k. Give c(g(z)).
61*z**2
Let r(v) = 38*v. Let o(p) = 7*p. Calculate r(o(n)).
266*n
Let j(q) = 2*q**2 + 9*q + 9. Let x(z) = z**2 + 4*z + 4. Let n(o) = -4*j(o) + 9*x(o). Let p(b) = -2*b**2 + b**2 - b**2. Determine p(n(r)).
-2*r**4
Let x(y) = 3*y. Let h(w) = 140*w**2. What is x(h(n))?
420*n**2
Let h(n) be the second derivative of n**3/3 - 57*n. Let i(r) = 0 + 0 + 2*r**2. Give h(i(f)).
4*f**2
Let d(i) = 4 + 6 + 20*i - 10. Let b(l) = 2*l. Give d(b(k)).
40*k
Let j(o) = 10*o**2 - 5. Let v(z) = 12*z. Calculate v(j(k)).
120*k**2 - 60
Let d(t) = 592*t. Let p(h) = -2*h**2. Determine p(d(z)).
-700928*z**2
Let u(r) = 14*r**2 - 8. Let g(k) = k**2 - 1. Let f be (-2 - (-6 - -3)) + -2. Let j(y) = f*u(y) + 8*g(y). Let c(l) = -1 + 2*l**2 + 1. Determine c(j(w)).
72*w**4
Let r(a) = -70*a**2. Let o(w) = 2*w**2. Calculate o(r(t)).
9800*t**4
Let m(u) = -5 + 5 + 6*u**2 + 0. Let s(v) = -3*v**2. Calculate s(m(l)).
-108*l**4
Let f(y) = -12*y**2 - 7*y**2 - 4*y**2 - 8*y**2. Let b(r) = -3*r**2. Determine f(b(d)).
-279*d**4
Let h(f) = 2*f**2. Let v(b) = 3*b**2 - 6*b - 6. Let q(l) = -l**2 + l + 1. Suppose 0 = 5*y + 1 + 4. Let d(w) = y*v(w) - 6*q(w). Calculate h(d(s)).
18*s**4
Let u(z) = 2*z + 0 + 0. Let v(s) = -9*s**2. Give v(u(f)).
-36*f**2
Let u(h) = 4*h**2 + 2*h + 2. Let n(g) = g + g + 1 - g + 0*g. Let t(o) = -2*n(o) + u(o). Let s(c) = -3*c. What is t(s(y))?
36*y**2
Let b(v) = -v. Let z(d) = 18*d**2 - 14*d. Let k(p) = -p**2 + p. Let f(c) = -28*k(c) - 2*z(c). What is b(f(w))?
8*w**2
Let z(k) = k. Let m(o) = -11*o**2 - 12*o. What is z(m(w))?
-11*w**2 - 12*w
Let f(g) = 6*g**2 - 3*g. Let d(u) = 11*u**2 - 5*u. Let n(t) = -3*d(t) + 5*f(t). Let p(a) = -a**2. What is p(n(r))?
-9*r**4
Let q(d) = -572*d. Let l(p) = -25*p**2. Give q(l(r)).
14300*r**2
Let q(n) = -5*n. Let s(u) = -7*u**2. Give q(s(l)).
35*l**2
Suppose w + 15 = -4*w. Let g(f) = 8*f + 3. Let n(o) = 55*o + 20. Let k(y) = w*n(y) + 20*g(y). Let u(i) = -i**2. Calculate u(k(l)).
-25*l**2
Let b(d) = 3*d**2. Suppose -5*t + 2*t + 16 = 4*v, 16 = t + 4*v. Let y = 1 + t. Let p(r) = -r**2 - y + 1. Give p(b(q)).
-9*q**4
Let o(z) = 2*z**2 - 3*z**2 - 9*z**2 - z**2. Let k(p) = 2*p**2. Give k(o(l)).
242*l**4
Let i(b) = -8 + 5 + 3 - 7*b**2. Let j(n) = n**2. Give j(i(g)).
49*g**4
Let h(n) be the third derivative of 1/60*n**5 + 0 - 3*n**2 + 0*n + 0*n**3 + 0*n**4. Let k(q) = 2*q - 6*q + 2*q. Give h(k(w)).
4*w**2
Let a(b) = -2*b. Suppose u - 2 = 0, 3 = 3*w - 3*u - 3. Let y(s) = w - 6 + 2 - 3*s. Determine a(y(o)).
6*o
Let n(q) = 2*q**2. Let z(w) be the third derivative of -2*w**5/15 + 2*w**2. Determine z(n(d)).
-32*d**4
Let f(s) = -2*s**2 + s**2 - 2*s**2 + 0*s**2. Let i(m) = -8*m. Give i(f(p)).
24*p**2
Let o(l) = l**2. Suppose a - 6 = -0*a. Let x(b) = -9*b**2 - 6*b + a*b. Calculate x(o(j)).
-9*j**4
Let x(m) = -8*m**2 + m. Let n(y) = 2*y + 7. What is x(n(r))?
-32*r**2 - 222*r - 385
Let l(r) be the third derivative of r**4/24 - r**2. Let d(f) = 7*f. Let j(x) = -8*x. Let a(z) = 6*d(z) + 5*j(z). Determine l(a(u)).
2*u
Let g(c) = 2 + c - 2. Let t(i) be the second derivative of 0 + 0*i**2 - 8*i + 1/3*i**3. Calculate g(t(m)).
2*m
Let g(a) = 6*a - 11*a + 3*a**2 + 5*a. Let l(i) = 2*i. Give g(l(n)).
12*n**2
Let j(l) = -l + 0*l + 2*l. Let y(b) be the third derivative of 0*b + 0 + 0*b**4 - 2*b**2 + 0*b**3 - 1/30*b**5. What is j(y(t))?
-2*t**2
Let a(r) = -2*r - 4. Suppose -9*x + 4*x = 20. Let w be a(x). Let o(b) = 4*b - w*b - b + 0*b. Let k(n) = n**2. Calculate k(o(f)).
f**2
Let c(s) = 2*s**2 + 94*s. Let i(f) = -3*f. Give i(c(v)).
-6*v**2 - 282*v
Let s(z) = -z**2 + 8*z. Let c(b) = -5*b. Calculate c(s(k)).
5*k**2 - 40*k
Let v(z) = -3*z**2. Let y(c) = -c**2 + c. Let i(j) = 9*j**2 - 6*j. Let a(n) = i(n) + 6*y(n). Determine v(a(s)).
-27*s**4
Let u(c) = -6*c**2. Let m(z) = -z**2. Determine u(m(v)).
-6*v**4
Let j(f) = -f - 2. Let g(i) = i + 3. Let p(q) = -q - 1. Let k be p(-4). Let r(s) = k*j(s) + 2*g(s). Let b(l) = 4*l**2. Give r(b(m)).
-4*m**2
Let i(o) = -o**2. Let y = 12 + -8. Let t(s) = -y*s + 5*s + 2*s. What is i(t(r))?
-9*r**2
Let n(a) = a. Let s(l) be the second derivative of -9*l**4/4 - 5*l - 3. What is n(s(k))?
-27*k**2
Let s(p) = 8*p**2 - 11*p**2 + 6*p**2 - p**2. Let t(a) = -16*a. Calculate s(t(w)).
512*w**2
Let m(z) be the third derivative of -z**4/24 + z**3/6 + 2*z**2. Let n(f) = -2*f + 3. Let c(r) = 6*m(r) - 2*n(r). Let g(h) = h. Determine c(g(v)).
-2*v
Let z(c) = 27*c**2 - 39*c**2 + 0 + 10*c**2 + 0. Let d be (-10)/(-4)*2 - 2. Let b(q) = 2*q**2 + d*q**2 - 4*q**2. What is b(z(s))?
4*s**4
Let l(f) = -88*f**2 - 1. Let z(k) = 2*k. Calculate z(l(y)).
-176*y**2 - 2
Let d(q) be the second derivative of 0*q**2 - q + 0 + 0*q**3 - 1/6*q**4. Let t(s) = 2*s**2 + 4*s**2 - 5*s**2 - 2*s**2. Give d(t(b)).
-2*b**4
Let b(n) be the third derivative of -n**7/5040 + n**5/12 + 4*n**2. Let x(u) be the third derivative of b(u). Let g(d) = -d**2. Calculate g(x(i)).
-i**2
Let y(g) = 2*g. Let n(d) = d - 3. Let h(s) = -2. Let b(o) = -3*h(o) + 2*n(o). Determine b(y(j)).
4*j
Let j be (-8)/10*20/(-8). Let w(o) = j*o**2 + 2*o - 6*o + 4*o. Let i(h) = -2*h**2. What is w(i(c))?
8*c**4
Let c(f) = 2*f**2. Suppose 4*n - 4 = b, 0 = 2*b - n - 4 - 2. Let p(o) = 3*o**2 + b + o**2 - 4. Give c(p(u)).
32*u**4
Let f = -14 + 18. Let l(v) = -2 + f - v**2 - 2. Let n(s) = -4*s. What is l(n(y))?
-16*y**2
Let j(h) = 2*h. Let r(v) = -v. Let p(b) = -2*b. Let i(u) = p(u) - r(u). Determine j(i(g)).
-2*g
Let w(k) = -k**2. Suppose -3*a + 0 = -6. Let t be ((-14)/(-35))/((-1)/(-5)). Let l(j) = 3*j**2 - 5*j**t + j**a. Give l(w(y)).
-y**4
Let f(q) = -2*q**2. Let z(p) = 12*p**2. Let i(s) = -34*f(s) - 6*z(s). Let a(d) = -4*d. Calculate i(a(k)).
-64*k**2
Let w(x) = -3*x. Let g(m) = -2*m + 129. What is g(w(y))?
6*y + 129
Let h(w) = -w**2 - 13*w + 17. Let k be h(-14). Let f(z) = -4*z + k*z + 2*z. Let r(j) be the second derivative of -j**4/6 + j. Calculate f(r(x)).
-2*x**2
Let m(t) = -2*t**2. Let d = 1 + 11. Let h be (-47)/(-7) - d/(-42). Let q(j) = -j + 0*j + h*j + 0*j. What is m(q(i))?
-72*i**2
Let i(j) = -54*j**2. Let x(l) = 5*l - 3. Let n(z) = -4*z + 2. Let a(q) = 3*n(q) + 2*x(q). Give a(i(p)).
108*p**2
Let w(n) = -2*n**2. Let i(v) = 5*v - 5. What is w(i(p))?
-50*p**2 + 100*p - 50
Let l(n) be the first derivative of n**3 - 1. Let i(b) = 4*b**2 + 2. Let c(r) = -5*r**2 - 3. Let q(u) = 2*c(u) + 3*i(u). Give l(q(h)).
12*h**4
Let a(h) be the first derivative of -2/3*h**3 + 0*h + 0*h**2 - 5. Let q(z) = z. Determine q(a(c)).
-2*c**2
Let i(j) = 3*j**2. Let n(a) = -84*a + 10. Determine n(i(x)).
-252*x**2 + 10
Let p(c) be the second derivative of -1/3*c**3 + 0 + 0*c**2 - 2*c. Let r(i) be the second derivative of i**4/12 + 2*i. Give r(p(f)).
4*f**2
Let p(c) = -c**2 - 1. Let b(z) = -z | {
"pile_set_name": "DM Mathematics"
} |
6?
14
What is the highest common divisor of 888 and 3504?
24
Calculate the highest common divisor of 12704 and 368.
16
What is the greatest common divisor of 1044 and 34674?
6
What is the highest common factor of 6674 and 639?
71
Calculate the greatest common factor of 22341 and 66.
33
Calculate the greatest common divisor of 390445 and 2290.
1145
Calculate the greatest common divisor of 6 and 8805.
3
Calculate the greatest common factor of 296 and 6253.
37
Calculate the greatest common factor of 975 and 291200.
325
What is the highest common factor of 206880 and 960?
480
What is the highest common factor of 7917 and 1517802?
1131
What is the greatest common factor of 7291 and 3266?
23
Calculate the highest common divisor of 21600 and 1017.
9
Calculate the highest common factor of 223340 and 65.
65
Calculate the greatest common factor of 190 and 1060485.
95
Calculate the greatest common divisor of 619208 and 174.
58
Calculate the highest common divisor of 49 and 106624.
49
Calculate the highest common factor of 8575 and 119021.
343
What is the greatest common divisor of 872702 and 326?
326
What is the greatest common factor of 2880 and 7515?
45
Calculate the greatest common divisor of 3682 and 77.
7
What is the highest common factor of 62496 and 3224?
248
Calculate the highest common divisor of 23575 and 14720.
115
What is the greatest common divisor of 210 and 2619330?
210
What is the highest common divisor of 335496 and 12?
12
Calculate the greatest common divisor of 41830 and 50.
10
What is the greatest common factor of 95 and 320055?
95
Calculate the greatest common factor of 111 and 11876223.
111
Calculate the greatest common factor of 8672 and 78319.
271
What is the greatest common divisor of 67284 and 10413?
801
What is the greatest common factor of 6750 and 342?
18
What is the highest common factor of 575 and 437?
23
Calculate the greatest common divisor of 6403 and 817.
19
What is the highest common divisor of 50 and 1340825?
25
Calculate the greatest common factor of 45 and 363105.
45
What is the greatest common factor of 1584684 and 6432?
804
What is the highest common factor of 19564 and 584?
292
Calculate the greatest common factor of 898437 and 3.
3
What is the greatest common factor of 263004 and 196?
28
What is the highest common factor of 24 and 602166?
6
What is the greatest common factor of 24678 and 3456?
54
What is the highest common divisor of 37627 and 191?
191
Calculate the highest common divisor of 19131 and 763.
7
Calculate the greatest common factor of 16655 and 30.
5
What is the greatest common factor of 57 and 3207?
3
What is the greatest common divisor of 148338 and 492?
246
What is the highest common divisor of 766636 and 460?
92
What is the highest common divisor of 9219 and 63?
21
What is the highest common divisor of 965310 and 24?
6
Calculate the greatest common factor of 366543 and 117.
9
Calculate the greatest common factor of 56816 and 24.
8
What is the greatest common factor of 378 and 1868076?
378
Calculate the greatest common factor of 717 and 1637867.
239
Calculate the greatest common factor of 2749896 and 4.
4
Calculate the highest common factor of 72 and 10664.
8
What is the highest common factor of 1580 and 1500?
20
Calculate the highest common factor of 224 and 66892.
28
Calculate the highest common divisor of 49 and 10745.
7
What is the highest common divisor of 896 and 480?
32
Calculate the greatest common divisor of 133 and 49399.
7
What is the greatest common factor of 282 and 392121?
141
Calculate the highest common divisor of 3354 and 2451.
129
What is the highest common factor of 1808 and 496522?
226
Calculate the greatest common divisor of 172 and 220461.
43
Calculate the highest common factor of 891 and 220.
11
Calculate the greatest common divisor of 1397 and 201041.
127
What is the greatest common divisor of 26400 and 21840?
240
What is the greatest common divisor of 26 and 194896?
26
Calculate the highest common divisor of 182 and 1175902.
182
Calculate the greatest common factor of 575380 and 520.
260
Calculate the highest common divisor of 152409 and 26967.
303
Calculate the highest common factor of 16021 and 30743.
433
What is the highest common factor of 170 and 364072?
34
Calculate the highest common divisor of 20 and 6415.
5
Calculate the greatest common factor of 272782 and 142.
142
Calculate the highest common factor of 14101 and 26432.
59
Calculate the greatest common factor of 4379 and 79577.
151
Calculate the greatest common factor of 14021 and 63.
7
What is the highest common factor of 3910 and 697360?
230
What is the highest common divisor of 225 and 98415?
45
Calculate the highest common divisor of 52458 and 126.
42
What is the highest common divisor of 56559 and 459?
51
What is the highest common divisor of 179 and 5871916?
179
Calculate the highest common divisor of 7954 and 4264.
82
What is the greatest common factor of 552 and 673256?
184
Calculate the greatest common factor of 1044 and 164.
4
What is the greatest common divisor of 37 and 1339992?
37
Calculate the greatest common divisor of 590440 and 2320.
1160
What is the highest common factor of 69 and 26031?
3
What is the highest common divisor of 184583 and 931?
49
Calculate the highest common divisor of 1044 and 306472.
116
What is the highest common factor of 450 and 89700?
150
What is the highest common divisor of 24892 and 2540?
508
Calculate the highest common divisor of 46001 and 785.
157
Calculate the greatest common factor of 300 and 145900.
100
What is the highest common factor of 379368 and 3?
3
What is the greatest common factor of 1045 and 670263?
209
What is the greatest common factor of 867 and 185691?
51
What is the greatest common divisor of 1846 and 1378?
26
Calculate the greatest common divisor of 165394 and 82.
82
Calculate the greatest common divisor of 2018164 and 356.
356
What is the highest common factor of 27475 and 625?
25
What is the greatest common factor of 85241 and 21883?
79
Calculate the greatest common factor of 25272 and 10368.
648
Calculate the greatest common divisor of 16 and 7261568.
16
What is the greatest common factor of 160832 and 128?
64
Calculate the highest common divisor of 32680 and 215.
215
What is the greatest common factor of 99 and 551958?
33
Calculate the highest common factor of 461 and 60852.
461
What is the highest common divisor of 1015 and 158195?
145
Calculate the highest common divisor of 18 and 1882458.
18
Calculate the greatest common factor of 288 and 4464.
144
Calculate the highest common factor of 69689 and 2497.
227
What is the greatest common factor of 8396 and 4?
4
What is the highest common divisor of 3456 and 243216?
432
What is the greatest common factor of 2156 and 750596?
308
What is the greatest common divisor of 68 and 65127?
17
What is the greatest common factor of 35 and 122185?
35
Calculate the highest common factor of 1053039 and 2535.
507
What is the highest common factor of 44177 and 581?
7
What is the greatest common divisor of 2294 and 16021?
37
What is the greatest common divisor of 236271 and 42?
21
Calculate the highest common factor of 390916 and 16.
4
What is the greatest common divisor of 3479 and 14357?
49
Calculate the greatest common divisor of 3696 and 2079.
231
What is the highest common factor of 75 and 36735?
15
What is the greatest common divisor of 238343 and 1027?
79
What is the highest common divisor of 400848 and 1344?
336
Calculate the greatest common factor of 14413 and 1421.
203
Calculate the greatest common factor of 3756 and 852.
12
Calculate the highest common divisor of 840944 and 507.
169
What is the highest common divisor of 217373 and 3289?
299
What is the greatest common divisor of 11040 and 4380?
60
Calculate the greatest common factor of 280 and 89726.
14
What is the greatest common divisor of 107133 and 78?
39
Calculate the greatest common divisor of 1753696 and 224.
224
What is the greatest common factor of 485 and 98940?
485
What is the greatest common divisor of 54165 and 5980?
115
Calculate the highest common factor of 976 and 2304.
16
What is the greatest common factor of 140 and 10570?
70
Calculate the greatest common factor of 4 and 76598.
2
What is the greatest common divisor of 240 and 568 | {
"pile_set_name": "DM Mathematics"
} |
u(0).
-7
Let p(l) be the first derivative of 7*l**4/4 - l**3/3 - 2. Suppose -3*m = 5*d + 3, -2*m - 2 = -5*d + 3*d. Calculate p(m).
-8
Let l(r) = 4*r + 1. Let d(h) = -7*h + 7. Let x(w) = -d(w) - 2*l(w). What is x(-4)?
-5
Suppose 3 = p + 4, 5*c = -2*p + 13. Suppose -2*q = -3*o + 46, -c*q - 25 = 2*q. Let m(s) = s - 13. Let v be m(o). Let b(g) = 7*g**2. What is b(v)?
7
Let i(h) = -4*h + 1. Let u(w) = -w**2 + 4*w - 1. Let o be u(3). Suppose 21 = 4*t - 3*q, o*t - 3 = -q - 0. Let c be (-1)/t + (-22)/33. Calculate i(c).
5
Suppose 0 = -7*l + 26 + 9. Suppose -12 = l*u + 18. Let i(d) = d**2 + 10*d + 9. Calculate i(u).
-15
Let h(d) = -d**2 - 11*d + 32. Suppose 2*p + 3*g + 43 = 11, -5*g = -3*p - 29. Determine h(p).
6
Let k(y) = 2*y + y**2 + y**2 - y**3 - 5*y**2 + 2 + 4*y. Let h = 120 - 124. What is k(h)?
-6
Suppose -100 = -10*t + 12*t. Let d = 46 + t. Let h(j) = 1 + 5*j + j**2 - j + 5. What is h(d)?
6
Let f(z) = -z**3 + 3*z**2 + 2*z - 3. Let c be f(3). Suppose 0 = 4*k - 20, 0 = 5*i + c*k + 4 + 1. Let p(t) = 3*t + 18 - 21 - 2*t**2 + 3*t**2. Calculate p(i).
1
Let g(h) be the third derivative of h**5/60 - h**4/4 - h**3 - 82*h**2. Let c(p) = 6*p - 10. Let b be c(7). Suppose -i - 2*f + 8 = -0, 2*f - b = -5*i. Give g(i).
-6
Let m(x) = 50*x**3 - 21*x**3 + 4*x**2 + 2 - 15*x**3 - 13*x**3. Give m(-4).
2
Let h(y) = 24*y**2 - 14*y - 9. Let j(d) = 11*d**2 - 6*d - 4. Let l(q) = -6*h(q) + 13*j(q). Determine l(9).
-25
Suppose -8*l + 4*l + 16 = 0. Let n(x) = l - 2 - x - 1 - 9. Determine n(0).
-8
Let g(v) = -4*v**2 - 2*v**2 - 4 + 1 + 6*v**3 + 1 - 5*v**3 + 5*v. Determine g(5).
-2
Let w(v) = 3*v + 4. Let j(f) = -4*f - 1. Let y be j(-1). Suppose y*d - 5*x = d - 37, -38 = 3*d - 4*x. What is w(d)?
-14
Let u(t) be the second derivative of -7*t**5/20 - t**4/12 + t**3/6 - t**2/2 - 3*t. Let c be (123/(-984))/((-2)/16). What is u(c)?
-8
Let k(u) = u**3 - u**2 - u + 6. Let c(y) = 2*y**2 + 4*y + 2. Let j be c(-5). Suppose 4*b + 30 = 2*s, 4*s - j = b + 7. Let i = -9 + s. Calculate k(i).
6
Let t(h) = -h - 2. Suppose 0 = 4*w + 49 + 11. Suppose -4*m = -5*m - 18. Let u = m - w. Give t(u).
1
Suppose -4*r - 20 = -4*t, 2*r + 3*t - 8 = -2*r. Let o(p) = 3*p**2 + p. Give o(r).
2
Let h(d) be the second derivative of 4*d + 0*d**3 + 2*d**2 + 1/2*d**4 + 0 + 1/20*d**5. Give h(-6).
4
Suppose -3*t + 7*t = -28. Suppose 0 = 3*b + 3*k, -b + 3*k + 8 = -2*b. Let c(o) = 10 - b - o**2 - 5 - 6*o. Give c(t).
-6
Suppose 4*r - 16 = 8. Let m = r + -1. Let t(w) = 7*w**3 + 0*w - 1 - 5*w**2 - 6*w**3 - w + 0*w + 3*w. Calculate t(m).
9
Let s(t) be the third derivative of -t**6/120 + 11*t**5/60 - t**4/3 - 2*t**3 + 22*t**2. Give s(10).
8
Let c(v) = -v**2 - 7*v - 7. Suppose 2*g = -5*p + 18, g + 5 = p - 0. Let f be (-5 - -7 - p) + 3*-1. Determine c(f).
3
Let i(c) = c**3 - 3*c**2 - 5. Let q be (-2)/10 - (620/(-25))/(-1). Let w = 29 + q. Calculate i(w).
11
Suppose -9*t + 2 = -8*t. Let g(s) = -9 + 5 - 2*s - t*s - 2*s. Suppose -5*d = 3*q - 0*q + 5, 37 = -3*d + 5*q. Give g(d).
20
Let d(a) = -a - 2. Let z(l) = -25*l - l**3 + 104 + 107 + 25*l**2 + 2*l**3 - 189. Let g be z(-26). Give d(g).
2
Let n(s) = s - 12. Let i(d) = d - 11. Let b(g) = 4*i(g) - 3*n(g). Give b(6).
-2
Let s(n) be the second derivative of 1/20*n**5 - 4*n + 0*n**3 + 1/4*n**4 + 1/2*n**2 + 0. Let f(u) = -u**3 + 3*u**2 + 2*u + 5. Let x be f(4). Determine s(x).
1
Let t(j) = j**3 + 6*j**2 + j + 7. Let y(s) = -2*s**3 + 7 - 21 + s + 2*s - 6*s - 13*s**2. Let a(m) = 5*t(m) + 2*y(m). Suppose 81 = -4*w + 61. Give a(w).
-13
Let s(w) = -5 - 209*w + 10 + 211*w + w**2 - 2*w**2. Calculate s(4).
-3
Let v(j) = -2*j - 4. Suppose 0 = -i + 2*t - 15, -3*i - 2*t + 18 - 31 = 0. Give v(i).
10
Let k(q) = q**2 - 2*q - 3. Suppose -14*n + 10*n - 76 = 0. Suppose -46 = 4*w - 6*w. Let v = w + n. Calculate k(v).
5
Let t(z) = 5*z**2 + 5*z - 16. Let y(f) = f**2 + f - 3. Let d be -23 - (0 + 12/(-3) + 3). Let s(w) = d*y(w) + 4*t(w). Give s(-2).
-2
Let c be (0 - -3)/9 - 8/(-3). Let m(i) = -84 + 85 + 0*i + c*i. Calculate m(1).
4
Let w(n) = -n**3 + 8*n**2 - 5*n - 9. Let m be w(7). Let v(x) = 1 + 3 + m*x + x**2 - 1. Suppose 5*l + 5 = -5*j, -2*j - 14 = -0*l - 2*l. What is v(j)?
-1
Suppose -3 - 25 = -4*p. Let b be 1/4 + p/4. Let k(z) = z**2 + 4*z - 3. Determine k(b).
9
Let j = -43 + 35. Let h(n) be the second derivative of -n**4/12 - 7*n**3/6 - 7*n**2/2 - 2*n. Give h(j).
-15
Let d(w) = 8*w - 6 - 3*w**2 + 0*w**2 + 11. Suppose x = -2 + 8. Let n(z) = -3*z**2 + 9*z + 6. Let k(a) = x*n(a) - 7*d(a). Give k(1).
2
Let p(w) = 2*w**2 - 21*w + 4. Suppose 3 + 7 = r. Determine p(r).
-6
Suppose 0 = -127*v + 123*v + 8. Let d(t) = 2*t - 8. Give d(v).
-4
Let h(n) be the second derivative of -n**5/20 - 5*n**4/12 - 7*n**3/6 - 7*n**2/2 - 30*n. Give h(-4).
5
Let c be 7 + -1 + -5 + -5. Let s(y) = 3*y + 8. Give s(c).
-4
Let n(y) = y**2 + 107*y - 96*y + 0*y**2 + 3. Suppose 20 = -21*b + 19*b. Calculate n(b).
-7
Let o(l) = 14*l. Let n(v) = -15*v. Let y(j) = -4*n(j) - 5*o(j). What is y(-2)?
20
Let z(g) = -7*g**2 + 57*g - 38. Let l(o) = -3*o**2 + 26*o - 18. Let b(y) = -5*l(y) + 2*z(y). Give b(12).
-34
Let b(z) = 2*z**3 + z**2 - z - 1. Let v(y) = 3*y**3 + y**2 - 4*y - 5. Let t(a) = 2*b(a) - v(a). Calculate t(-2).
-5
Let k(s) be the third derivative of -s**5/60 - 7*s**4/24 - s**3/3 + 150*s**2. Calculate k(-5).
8
Let j(h) = -5*h**2 - 4*h + 6. Let s = 619 + -621. Determine j(s).
-6
Let x = 0 + -2. Let d(v) = -5*v - 55 + 98 + 9 - 53. What is d(x)?
9
Let f(k) = 2*k - 5. Let t be f(3). Let m(a) = 0*a - 1 - 5*a + 5*a + 2*a. Determine m(t).
1
Let t(a) be the first derivative of a**4/4 - 2*a**3/3 - 3*a - 31. Suppose 0*d = -d + 3. Give t(d).
6
Suppose 0 = 3*c - 2 - 7. Suppose 4*u - 4 + 8 = 2*z, 4*u + 4 = -c*z. Let d(p) = -12*p**3 - 2*p**2 + 1. What is d(u)?
11
Let d = 0 + -6. Suppose -3*q = -0*q - 6. Let p(r) = 6*r**q - 8 + 2*r + r**3 - 7*r + 2*r + r. Give p(d).
4
Let i be (-684)/(-117) - (-2)/13. Let s(u) be the second derivative of u**4/12 - u**3 + 7*u**2/2 - 15*u + 1. What is s(i)?
7
Let u(k) = -5*k - 84. Let c be u(-16). Let j(g) = g**2 + 4*g - 4. What is j(c)?
-4
Let l(j) be the second derivative of j**3/2 - 3*j**2 + 68*j + 1. What is l(4)?
6
Let v(s) = 3*s**2 + 3*s + 7. Let f(g) = -g**2 - 2*g - 1. Let m(j) = 4*f(j) + v(j). Determine m(-3).
9
Suppose 2*k = -2*g, 0 = -2*g - 0*g + k + 6. Let x(l) = 0*l**2 - 2*l**2 - 2 + 3*l**2 + g*l. Calculate x(-4).
6
Let t(w) = -w**2 - 8*w + 10. Let r(y) = 2*y**2 + 17*y - 21. Let f(g) = -6*r(g) - 13*t(g). Give f(-4).
4
Let d(i) = -i**3 + 10*i**2 - 8*i + 2. Let b(c) = c**2 - 2*c. Let p(k) = 5*b(k) - d(k). Determine p(6).
22
Let l(j) be the first derivative of -j**3/3 + j**2 + 5*j - 1. Let u be (-1)/(3*(-3)/45). Calculate l(u).
-10
Suppose -47 + 74 = 3*h. Let i(p) = -p**2 + 6*p + 10. Calculate i(h).
-17
Let r(x) = -x**2 - 7*x + 1. Let s(d) = d**3 - d**2 - 4*d. Let q be s(-3). Let k = q + 19. What is r(k)?
11
Let f(n) = -2*n + 3. Let l(a) = -a + 1. Let i(w) = 6*f(w) - 13*l(w). Let d(j) = -j - 1. Let r(x) = -2*d(x) + i(x). Determine r(-5).
-8
Let i(x) = -4*x**3 - x. Let s(o) = o**3 - 7*o**2 + 1. Suppose 5*v - 30 = f, 3*v = v + 3*f - 1. Let k be s(v). Give i(k).
-5
Let r(g) be the first derivative of -g**3/3 + 5*g**2/2 + g + 2. Suppose f + m + 0 = 1, 4*f - 3*m = 39. Suppose 5*s - 24 - f = 0. Give r(s).
-5
Let a(t) be the first derivative of -t**2 - t + 1. Let n(i) = 3*i**3 + 35*i**2 - 13*i - 12. Let g be n(-12). Let o be -5 - (g - 2) - -5. Calculate a(o).
-5
Let h(s) = -s**3 + 3*s**2 + s - 7. Suppose -3*m + 9 = 0, k + 26*m = 22*m + 15. Determine h(k).
-4
Let o(m) = -m + 3. Let g = 6 - 4. Let d be o(g). Let p(l) = 8*l**2. Calculate p(d).
8
Let s(z) be the second derivative of -z**5/20 - z**4 - 11*z**3/6 + 5*z**2/2 - 113*z + 1. Determine s(-11).
5
Let c(j) = 8*j + 20*j**3 + 21*j - 9*j**3 - 1 - 28*j. Determine c(1).
11
Let b(g) = g**3 + 14*g**2 + 12*g - 16. Let n be b(-13). Suppose 9 = j - p + 4*p, 3*p + 3 = j. Let x(o) = j*o**2 - 7*o**2 - 4 - 4*o - o + 2*o. Give x(n).
-4
Let t = -214 - -222. Let o(k) = -k**2 + 5*k + 8. Let b(p) = p**2 - 4*p - 8. Let n(w) = 3*b(w) + 4*o(w). Give n(t).
8
Let t be ((-18)/(-8))/((-12)/(-128)). Let c = t + -24. Suppose c = -3*x + 7 + 11. Let l(n) = -n**2 + 6*n - 8. Determine l(x).
-8
Suppose 2*c + 4 = -2. Let y be (-2)/(c/(-30)*-4). Suppose 0 = 4*b - y*f - 11, -11 = 5*b - 4*f - 2 | {
"pile_set_name": "DM Mathematics"
} |
c(l) = -l**3 + 7*l**2 - 2*l + 8. Let x be c(7). Let f = 18 + x. Suppose -3*s = f, -4*r - 283838 - 236146 = -4*s. What is r rounded to the nearest 100000?
-100000
Let j = -32254545.5000006 - -32254540. Let r = j + 5.5. What is r rounded to 6 dps?
-0.000001
Let b = -0.322 + 0.32615. Round b to 4 dps.
0.0042
Let z = -0.35 - -2.733. Round z to 1 decimal place.
2.4
Let c(h) = 187*h - 15. Let l be c(-4). What is l rounded to the nearest 10?
-760
Let x = 36.934000454 - -0.066020546. Let s = x - 37. Round s to 5 dps.
0.00002
Let y be (-17)/(-3) + (-8)/12. Suppose -3*s = -4*z + 12 - 4, 0 = y*s + 3*z - 6. Let x be 51000 - (s/(-4) + 0). Round x to the nearest 10000.
50000
Let l = -2.617 + 2.60814. What is l rounded to 3 dps?
-0.009
Let j = -13 + 13.21. Let y = 0.49 + j. Round y to 1 decimal place.
0.7
Suppose 54316 = -2*n - 38684. What is n rounded to the nearest ten thousand?
-50000
Let n be (1 - 0)*(-8 - 17354591). Let k = n - -35337636. Suppose -k = -5*c + 1516963. Round c to the nearest 1000000.
4000000
Let m = 11.42141008 + 1.57859027. Let r = -13 + m. Round r to 7 dps.
0.0000004
Let w = 178.63 - 213. Let f = -34 - w. Let v = f - -0.03. Round v to one decimal place.
0.4
Let o = 201.32458 + -0.02458. Round o to the nearest 10.
200
Let f be (-15127 + -2 + 4)*(-1 + 345). What is f rounded to the nearest one million?
-5000000
Let o(n) = -5800*n**2 + 18*n - 34. Let h be o(13). Round h to the nearest one hundred thousand.
-1000000
Let f = 141 - 200. Let m = 0.17202 - 59.48402. Let s = m - f. Round s to 2 decimal places.
-0.31
Let q = -4.20000456 - -4.2. What is q rounded to seven decimal places?
-0.0000046
Let t = -8681.45522 - -122.39222. Let y = 8564 + t. Let f = -0.037 + y. Round f to 0 decimal places.
5
Suppose -2379836 = 49*o + 1082994. Round o to the nearest 1000.
-71000
Let n = 11426 + -11412.8666. Let d = n + -15.134. Let l = -2 - d. Round l to three dps.
0.001
Suppose -2*u = -2*l + 366008, 2*l + 12*u = 15*u + 366012. What is l rounded to the nearest 10000?
180000
Let t = 303.508 - 304. Let s = 0.491611 + t. Round s to 5 dps.
-0.00039
Suppose -4*a - 68100016 = -g, -5*g - 2*a + 280129897 + 60370095 = 0. Round g to the nearest 1000000.
68000000
Let n = 19474 + -13374. What is n rounded to the nearest one thousand?
6000
Let t(k) be the third derivative of -23*k**6/60 + k**5/10 - k**4/8 + 5*k**3/6 + 31*k**2. Let q be t(-5). Round q to the nearest 100.
5900
Let v be 864/5 + 10/50. Suppose -377 - v = f. What is f rounded to the nearest 100?
-600
Let s be (209609994/(-45) - 0) + 20/(-150). What is s rounded to the nearest 1000000?
-5000000
Let g = 25719 - 25714.0038. Let n = 3 - -2. Let m = g - n. What is m rounded to 3 decimal places?
-0.004
Let f = -1790767.900036 - -1758864.2. Let n = -31904.8 - f. Let z = n - -1.1. Round z to five decimal places.
0.00004
Let g be (-169)/(-65) + -4*1/(-10). Suppose -3*v + 8006 = -l, 4*l + g*v + 10033 = -21961. Round l to the nearest one thousand.
-8000
Let c = 1.28 + -0.717. Let b = 0.013 - 0.543. Let i = c + b. Round i to three decimal places.
0.033
Let i = 5.2678 + -0.0478. Let r = -5 + i. Let b = -0.220005 + r. What is b rounded to 5 dps?
-0.00001
Let n(u) = -u**2 - 4*u - 2. Let r be n(-2). Let y(m) = 0*m - 3*m - 5*m - r*m - 3. Let q be y(6). What is q rounded to the nearest 10?
-60
Let z = 185.0381 + -185. Let b = z + 43.5619. What is b rounded to zero dps?
44
Suppose 159 = -r - 3*i, -2*r + 4*i = -76 + 424. Let y be (r/(-35))/(6/(-40)). What is y rounded to the nearest ten?
-30
Let n = -8.934 - 0.066. Let z = 2980322.000009 + -2980331. Let v = n - z. Round v to 5 decimal places.
-0.00001
Let a = 21.164 + -0.164. Let r = 120904054 - 120904074.9999898. Let o = a + r. Round o to six decimal places.
0.00001
Let h = -2.2 + 110.2. Let f = h + 159. Let j = -286.1 + f. What is j rounded to 0 decimal places?
-19
Let w = -0.0514745 + 0.0519. What is w rounded to five dps?
0.00043
Let m = 65.962 - -0.038. Let v = 66.00424 - m. Round v to four decimal places.
0.0042
Suppose 95732 = -7*g - 9268. Round g to the nearest ten thousand.
-20000
Let l = 19.6 - 18. Let d = 214335 - 214336.600044. Let g = l + d. What is g rounded to five decimal places?
-0.00004
Let z = -1.347 + 674.347. Let f = 673.000537 - z. Round f to 4 decimal places.
0.0005
Let b = -228.9999927 + 229. Round b to 6 dps.
0.000007
Let c = -0.0418 - -0.0711. Round c to 3 dps.
0.029
Let x = -107.353 - -108. Let t = x - -75.153. What is t rounded to the nearest 10?
80
Let r = 2275 - 2274.9287. What is r rounded to 3 decimal places?
0.071
Let p = -71 - -127. Let x = 66 + -62. Suppose -x*l + p = -4*t, -2*t = 5*l - 9 + 30. Round t to the nearest 10.
-10
Let u(h) be the second derivative of 0 + 1/20*h**5 - 1/12*h**4 + 0*h**3 + 8*h - 84000*h**2. Let o be u(0). What is o rounded to the nearest ten thousand?
-170000
Let y = 1.17477329 - 1.1747. What is y rounded to 5 decimal places?
0.00007
Let k = -0.0156049 - -0.0156. Round k to 5 dps.
0
Let q = 0.887 - -49.713. Round q to the nearest integer.
51
Let k = 111345.669974 - 111346. Let p = k - -0.33. Round p to five dps.
-0.00003
Let n = 442.47 - -46092.53. Let t = 46534.77033 - n. Let m = t - -0.23. What is m rounded to four decimal places?
0.0003
Suppose 13*o + 302999 = -133151. Round o to the nearest 10000.
-30000
Let h = -0.0499 - -0.0095. What is h rounded to three decimal places?
-0.04
Let h = -0.72 - -0.71094. Round h to four dps.
-0.0091
Let l = -2151.9999991052 - -2152. What is l rounded to seven dps?
0.0000009
Let f = -5.19 + 5. Let v = f - 0.11. Let n = v + -0.25. Round n to one decimal place.
-0.6
Let g = 0.61 - 46.61. Let m = 45.875 + g. What is m rounded to two dps?
-0.13
Let x(t) = t - 3. Let m be x(3). Let r be -1 + (-96)/(-2) - m. Let b = r + -1147. Round b to the nearest 1000.
-1000
Let x = 12 - 12. Suppose -1839997 = -4*t - g, -5*t + 2299994 = -x*t + 2*g. What is t rounded to the nearest 100000?
500000
Let j = -341 + 364. Let f = -54.64 + 31.33. Let z = j + f. Round z to one decimal place.
-0.3
Suppose 3*r = -4*q - 11245, -7*q = 5*r - 10*q + 18790. Round r to the nearest 100.
-3800
Let w = -83 - -23. Let b = 2 - w. Round b to the nearest ten.
60
Let b = 2381151 - 2381028.99917. Let c = 122 - b. What is c rounded to 4 dps?
-0.0008
Let g = 0.102 - -42.898. Let p = g - 42.99999933. What is p rounded to seven dps?
0.0000007
Let k = 243.2 + -206. Let f = -563834165.2000163 + 563834128. Let x = k + f. What is x rounded to six dps?
-0.000016
Suppose x - 5*q - 498 = 0, -3*q - 1038 = -4*x + 1022. Round x to the nearest one hundred.
500
Let y = -228254 + 333776. Let k = 105504.9972 - y. Let z = -17 - k. What is z rounded to 3 decimal places?
0.003
Let b(z) = -2*z - 6. Let w be b(-13). Suppose 34*u + w = 39*u. Let s be u + 9/(36/8384). What is s rounded to the nearest one thousand?
2000
Let y = -0.10459197 - -0.1046. Round y to seven decimal places.
0.000008
Suppose 37*o = 12*o - 390000000. Round o to the nearest 1000000.
-16000000
Suppose 4*n + 0*g + 69 = -5*g, 60 = -5*n - g. Let l be (-3)/((n/30)/11). Round l to the nearest ten.
90
Let s = 28.4 + -39. Let o = s - -10.600000625. Round o to seven dps.
0.0000006
Let c(o) = 19 - 4 - 30308*o - 47689*o. Let i be c(-5). Round i to the nearest 100000.
400000
Let l = 75.59999134 - 75.6. Round l to 6 dps.
-0.000009
Suppose -35*o - 6109 - 18461 = 0. Round o to the nearest 10.
-700
Let r = 0.037 + -0.025. Let l = r + -0.01189. Round l to 5 dps.
0.00011
Let c(h) = -182481*h**2 + 13*h + 58. Let w be c(11). Round w to the nearest 100000.
-22100000
Let h be 351999998/20 - (8 - (-567)/(-70)). What is h rounded to the nearest one million?
18000000
Let t = -37.1 - -4.1. Let u = -33.00000074 - t. Round u to seven dps.
-0.0000007
Let r = -1729.65126 - -1730.95126063. Let h = 3.3 - 2. Let d = h - r. Round d to seven decimal places.
-0.0000006
Suppose 22*o - 26*o - 19476000 = 0. Round o to the nearest one million.
-5000000
Suppose 10*w - 28 = 14*w. Let t(i) = -202*i**3 - 7*i**2 - 9*i - 6. Let f be t(w). What is f rounded to the nearest ten thousand?
70000
Let w = -0.043 + -6.157. Let r = w + 6.1957. Round r to 3 dps.
-0.004
Let p = -14.458 - 0.042. Let g = p + 14.50000071. Round g to 7 dps.
0.0000007
Let x be (-6)/(-2) + (1 - 3). Suppose 0 = 4*d - 20, -d + 3*d - 14 = -s. Let m be -3*(( | {
"pile_set_name": "DM Mathematics"
} |
10*v)*(0 + 0 + 3 + (0 + 0 - 7)*(0 + 1 - 3)).
51*v**4
Expand 7*x**3 - 4 + 4 + (-x**2 + 0 + 0)*(2*x - 3*x + 3*x) - 31*x**3 + 10*x**3 - 7*x**3.
-23*x**3
Expand -3*w**3 - 4*w**3 + 0*w**3 + (-48*w - 22 + 22)*(-3*w**2 - w**2 + 3*w**2).
41*w**3
Expand (0 + 0 - 1)*(-25*k - 8*k**3 + 25*k)*(-11*k - 124 + 124).
-88*k**4
Expand (0*h - 3*h + h)*(2*h**4 - h + h) + 2*h**3 - 266 - 237 + 213 - h**5.
-5*h**5 + 2*h**3 - 290
Expand (-2*q**2 + q**2 - q**2)*(-q + 3*q - 4*q) + (-1 + 1 + 2*q**2)*(1 - 1 - 2*q) - 25*q**3 - 4 + 2 + 130*q**2 + 22*q**3.
-3*q**3 + 130*q**2 - 2
Expand 2*o**2 - o**4 - 2*o**2 - 3*o**4 - 26*o**4 - 30*o**4 + (3 - 3 + 3*o**3)*(-2*o + 6*o - 2*o) + 0*o**4 + 2*o**4 - o**4.
-53*o**4
Expand (0 - 2 - 2)*(-3 - 3 + 2)*((4*o**2 + 2*o**2 - 4*o**2)*(-5*o**3 + 2*o**3 + 2*o**3) + 0*o**3 + o**5 + 0*o**3).
-16*o**5
Expand -21*b - 18*b + 13*b + b - 6*b + 4*b - 3*b + 4*b + b + (1 + 1 - 1)*(5*b - 3*b - 3*b) - 4*b - 3*b + 5*b - 30*b - 8*b + 4 - 3.
-66*b + 1
Expand (-34*k**3 - 26*k**3 + 18*k**3)*(-12 + 16*k + 12 - 2 + 2 - k + (-1 + 1 - k)*(-3 + 0 + 5) + 3*k + k - 3*k + 7*k - 2*k - 3*k + 2*k - k + k + 0 + 2*k + 0).
-840*k**4
Expand (0*i**3 - i**3 - i**3)*(2917*i**2 + 1 - 17*i - 8*i - 2918*i**2).
2*i**5 + 50*i**4 - 2*i**3
Expand (-2*y + 0*y + 0*y)*(136*y**2 + 4775*y - 4775*y) + (4*y - y - y)*(4 - 4 - 2*y**2) - y + y**3 + y.
-275*y**3
Expand 2*q**2 - q**2 + q**2 + (4*q + 4*q - 6*q)*(-1 + 1 - q) - 3*q**2 + 3*q**2 - 3*q**2 + 7*q**2 - 3*q**2 - 3*q**2.
-2*q**2
Expand (-j + 3*j - 3*j)*(7 - 27 - 8)*(0 + 1 + 1).
56*j
Expand -j**3 - 3*j**3 + 3*j**3 + (0*j + 0*j - 2*j)*(0*j**2 - j**2 + 0*j**2) - 3*j**3 + 0*j**3 + 5*j**3 - 42*j**2 + 11*j**3 + 42*j**2.
14*j**3
Expand (-3*r + 3*r + 6*r)*(2*r + 11*r + 7*r + 7*r).
162*r**2
Expand 3 - 3 - 5*x + (4*x - 3*x - 3*x)*(-3 + 4 + 1) + (-2*x + 2*x + 5*x)*(4 + 1 - 2).
6*x
Expand (119*a - 63*a + 3 - 59*a)*(a**3 + a**2 + 2*a**2 + a**3).
-6*a**4 - 3*a**3 + 9*a**2
Expand 10*i**4 + 68*i - 6*i**4 - 7*i**4 + (4 - 2*i**2 - 4)*(-1 + 1 + 2*i**2).
-7*i**4 + 68*i
Expand -5*i + 0*i - i + (2 - 3 + 0)*(-i - i - i) + 0 + i + 0 + (-2 + 1 - 2)*(4*i + 2*i - 5*i).
-5*i
Expand (-3 + 4 + 0)*(1 - 2 + 0)*(2 - 1 + 0)*(10*b - 4*b + 6*b).
-12*b
Expand -3 - 2*z + 0*z + 1 + 2 - 2 + 2*z + (-2 - 1 + 0)*(2*z + 0*z - z).
-3*z - 2
Expand (-p + 2 + 0 - 5)*(-1 + 34*p**4 - 28*p**4 + 46*p**4).
-52*p**5 - 156*p**4 + p + 3
Expand ((-1 + 2 + 3)*(5 - 6 + 0)*(h - 2*h + 0*h) + (-2*h + 8*h - 3*h)*(4 - 5 + 3))*(-6*h + 5*h + 4*h).
30*h**2
Expand (78*p - 71*p - 288*p)*(-2 + 1 + 2).
-281*p
Expand (-f + 4*f - f - 1)*(-17 - 7 - 3).
-54*f + 27
Expand (0*o + 0*o - 4*o)*(-3*o + 3*o + 2*o**4) - 2*o**5 - 11*o**4 + 11*o**4.
-10*o**5
Expand (-67 - 481 - 724)*(-2*y**5 - 1 + 1).
2544*y**5
Expand (-3*x - x + 1 + 3*x)*(-4*x - x + 2*x)*((-1 - 2*x + 1)*(3*x - 2*x - 3*x) + 3*x**2 + x**2 + 0*x**2).
24*x**4 - 24*x**3
Expand -o**5 + o**5 + o**5 + (0*o**2 - 2*o**2 + 0*o**2)*(-3*o**3 + o**3 + o**3) + 929*o**5 - 4*o**5 + 675*o**5.
1603*o**5
Expand -4*f + 3*f + 0*f + (-5 + 0 + 4)*(-5*f - 3*f + 6*f) + 25*f - 14*f - 2 + 3.
12*f + 1
Expand (507*j**4 - 2*j**2 + 2*j**2 - 841*j**4)*(0*j + 2*j + 0*j).
-668*j**5
Expand (3*g + 2*g - 6*g)*(-2*g - 4 + 4) + (-1 + 2 + 0)*(11*g - 11*g + g**2 - 2).
3*g**2 - 2
Expand 4*f + f - 4*f + f - 1 + 1 + (-2 + 2 - f)*(-2 + 4 - 3) + (-12 + 2 - 13)*(-2*f + 4*f - 4*f).
49*f
Expand -2*i**3 + 2*i**2 - 2*i**2 + (-2*i**2 + 6*i**2 - i**2)*(-118*i - 133 + 133).
-356*i**3
Expand (-93 - 28 + 50)*(0*k + k + 0*k).
-71*k
Expand -2*o**4 - 65*o**3 + 60*o**3 - 27*o**3 - 4*o + (o**2 - o**2 - o**4)*(-3 + 4 + 1) + o**2 + o**4 - o**2 + 0*o**4 + 3*o**4 - 4*o**4.
-4*o**4 - 32*o**3 - 4*o
Expand (-c + c + 5*c)*(-2*c + 1 - 1)*(2*c - 10 + 4 - 4).
-20*c**3 + 100*c**2
Expand (5*o**2 - 2*o**2 - o**2)*(-45 + 99 - 23)*(2 + 3 - 6)*(-5*o + o + 2*o).
124*o**3
Expand -5*v**4 - v**4 + 2*v**4 + (-1 + 1 - v**2)*(v**2 + 0*v**2 + 2*v**2) + 0*v - v**4 + 0*v + v**4 + 4*v**4 - 3*v**4.
-6*v**4
Expand (-w**5 + 3*w - 3*w)*(6 - 1 - 3) + 0*w + 0*w - 2*w**5 + 2*w**5 - 5*w**5 + 2*w**5 - 7*w**4 - 10*w**5 + 7*w**4 + (2*w**2 + 2*w**5 - 2*w**2)*(0 + 3 - 5).
-19*w**5
Expand (-4*b + 0*b + 0*b)*(4 - 2 + 0 + (-3 + 0 + 4)*(-2 + 3 + 0) - 5 + 4 + 2 + 6 + 2 + 0 + 2 - 5 + 2)*(3 - 5 + 0)*(1 - 1 - 2*b).
-176*b**2
Expand (1 - u**2 - 1)*(20 + 16 - 20) + 308*u**2 - 2*u + 374*u**2 - 756*u**2.
-90*u**2 - 2*u
Expand (-2 + 5 - 2)*(-3*k - 2*k + 3*k) + k + k - 4*k + (1 - 1 - k)*(-2 - 3 + 4) + 17*k - 57 + 57 + 3*k + 8*k + k.
26*k
Expand (-2*o - o - 40 + 44)*(1 + 0 - 2) - 43*o - 5*o - 4*o.
-49*o - 4
Expand (o + 0*o + 0*o)*(o**2 - 2*o + 2*o + (o + 3*o - 5*o)*(-2*o - 2*o + 3*o) - 34*o**2 + 260*o**2 - 14*o**2).
214*o**3
Expand (0 + 0 - 1)*(r + 21*r - 777*r**4 + 774*r**4).
3*r**4 - 22*r
Expand (-2 + 2 + y)*((-3 + 3 + 1)*(6 + 6 - 1) - 3 + 4 + 0)*(8 + 24 - 10).
264*y
Expand (0*j**4 - 2*j**4 + 3*j**4)*(11 + j - 11) + 0*j**5 + 0*j**5 + j**5 + 1711*j**4 + 148*j**5 - 1711*j**4.
150*j**5
Expand ((7 - 3 - 2)*(3 - 1 - 3)*(-3 + 3 - 2*l) - l + 3*l - 3*l)*(160*l - 9024 + 9024)*(2*l - 2*l + 2*l**2).
960*l**4
Expand 2*m**2 + 0*m**2 - 3*m**2 + (m**2 + 0*m + 0*m)*(-6 + 1 + 3) + m**2 + m**2 - m**2 - 4*m**2 + 2*m**2 + 3*m**2 + (m + m + 0*m)*(-13*m + 35 - 35).
-27*m**2
Expand (c**2 + 4*c**2 + 4*c**2)*(0*c**3 + 0*c**3 + 2*c**3) - c**5 + 0*c**5 - c**5 + (-2*c**4 + 4*c**4 - c**4)*(-2*c - 2*c + 2*c).
14*c**5
Expand 1 + 3 - 3*i + 0*i + (-4 + 4 + 2*i)*(1 + 2 - 2) + 0 + 0 + 2*i + 2*i - 7*i - 3*i + 3 - 3 + 2*i.
-5*i + 4
Expand (-1 + 0 - 1)*(-253*i**2 - 129*i**2 + 41*i**2).
682*i**2
Expand 34*f**4 + 38*f**4 - 90*f**4 + 2*f**4 + 2*f**4 - 2*f**4 + 1 - 2*f**4 - 1 + (0 - 2*f**2 + 0)*(-f - 3*f**2 + f).
-12*f**4
Expand (-6 + 2 + 8)*(5 - 2 - 2)*(12*u**3 + 10*u**3 - 4*u**3).
72*u**3
Expand (3 + 3 + 0)*(3 + 1 - 3)*(-z**2 + z**2 - 2*z**3)*(2 - 4 - 4) - 2*z**2 - 3*z**3 + 2*z**2.
69*z**3
Expand (-1 + 1 - 2*b**3)*(-6*b**2 - b**2 + 6*b**2) + 2*b**5 + 0*b**5 - 3*b**5 + (-3*b + 1 - 1)*(3*b**4 + 2*b**4 - 2*b**4).
-8*b**5
Expand (-u + 3*u + 0*u + (-5*u - 2*u + 6*u)*(-1 + 2 - 3))*(3*u**4 - u**4 - 4*u**4 + (3*u**4 - 2*u**4 + 0*u**4)*(-2 - 3 + 4) + 2*u**4 + 4*u**4 - 7*u**4).
-16*u**5
Expand (3 - 10 + 0)*(z - 1 + 1)*(-4*z**3 - 3*z + 4*z**3 - 2*z**3).
14*z**4 + 21*z**2
Expand (-3 - 4 + 2)*(83*w - 25*w - 32*w).
-130*w
Expand (x - 4*x + 0*x)*(-1 + 1 + 3)*(x + x + 2*x)*(-4 + x + 4).
-36*x**3
Expand -l**3 + 2*l**3 - 4*l**3 + (-2*l - 16 + 16)*(-4*l**2 + l**2 - l**2).
5*l**3
Expand (2*k - 2*k - 7*k)*(-k**3 + 2*k**2 - 2*k**2) + (-2 + 13*k**2 + 2)*(-k**2 - k**2 + 3*k**2).
20*k**4
Expand (-58 + 89 + 91)*(-3*g + 3*g - 2*g**3).
-244*g**3
Expand (0*p + 2*p - 4*p + (-2 + 3 - 3)*(p + 1 - 1))*((-4 + 2 + 3)*(386*p + 366*p - 792*p) - 2*p + p + 2*p).
156*p**2
Expand (5*g**3 - 3*g**3 + 0*g**3 + (-2*g + 2*g - 2*g)*(2*g**2 - 5*g**2 + 0*g**2) + (-2 + 2 + 2*g)*(4*g**2 + 0*g**2 - 3*g**2))*(14 + 14 + 2*g - 7).
20*g**4 + 210*g**3
Expand (w**3 - 2*w**3 + 3*w**3)*((3*w + 3*w - 5*w)*(1 - 1 - 2*w) - 3*w**2 + 4*w - 4*w).
-10*w**5
Expand 0*z - 2*z + z + (-5*z + 5*z - z)*(-1 + 3 + 3) + (3*z - 2*z + z)*(-3 + 3 - 3) - 2*z + 12*z - z.
-3*z
Expand (-8*h + 3 - 4 + 10*h)*(-10 - 2 + 1).
-22*h + 11
Expand (151*f - 87*f + 94*f + 56*f)*(0*f**4 + 5*f**4 - 2*f**4).
642*f**5
Expand (b**3 + b**3 - 10*b**3)*(-2*b**2 + 2*b**2 - 2*b**2)*(32 + 28 - 19).
656*b**5
Expand (-4*d + 0*d + 2*d + d - d - 2*d + (-4 + 2 + 0)*(3*d - 5*d + 4*d) + 3*d - 3*d + 2*d)*(-4*d**2 + 44 - 6*d**2 - 47).
60*d**3 + 18*d
Expand (915 - 2025 + 999 - 3*k**2)*(3*k**3 - 3*k**3 - 2*k**3).
6*k**5 + 222*k**3
Expand (21 - 7 + 2*l + 2)*(2*l - 6 + 6).
4*l**2 + 32*l
Expand (5389 - 15*a**4 - 5389 - 4*a)*(-11 + 11 - 8*a).
120*a**5 + 32*a**2
Expand (4 - 4 - 6*c)*(c**2 - c + c)*(-4*c + 2*c - 2*c) + c**4 + 0*c - 2 + 0*c.
25*c**4 - 2
Expand (-2*f - 3 + 3)*(968*f + 2780*f - 1431*f + 2921*f).
-10476*f**2
Expand 13 - 6*c - 13 + (35 - 83 - 36)*(2 + 2*c - 2).
-174*c
Expand (104*g + 142*g - 18*g)*(-1 + 1 + 3*g).
684*g**2
Expand (3*x - 5*x + 0*x)*(1 - 3 + 1) + 3 + 4*x - 4 - 5*x + 0 + 2*x + 0 + (-5*x + x - 17*x)*(-3 + 4 + 1).
-39*x - 1
Expand 0*i - 2*i + 0*i + (4 - 3 - 3)*(2 + 0 + 0)*(0*i + 2*i + 5*i).
-30*i
Expand (1 + 4*k**2 - 1)*(-k + 10 - 21 - 5*k).
-24*k**3 - 44*k**2
Expand (1 - 5 + 1)*(-o + 2*o + 0*o) - 14*o + 4*o + 7*o.
-6*o
Expand (3*s - 4*s + 0*s)*(2*s + 0*s + 0*s) + 0*s**2 + 2*s**2 + s**2 + 2*s**2 - 15* | {
"pile_set_name": "DM Mathematics"
} |
digit of 1490?
9
What is the units digit of 1857?
7
What is the ten thousands digit of 14406?
1
What is the thousands digit of 50599?
0
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2
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7
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2
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6
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9
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7
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9
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2
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9
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1
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4
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9
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4
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5
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2
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7
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4
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8
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8
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0
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4
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5
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2
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7
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2
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3
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1
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4
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4
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5
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1
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5
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8
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2
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5
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5
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3
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6
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5
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2
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5
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6
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7
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0
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1
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5
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4
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1
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8
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0
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0
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2
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6
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8
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6
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1
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3
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2
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3
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9
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5
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6
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1
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2
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6
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4
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1
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6
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0
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0
What is the ten thousands digit of 88514?
8
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6
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8
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1
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0
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1
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8
What is the hundreds digit of 9897?
8
What is the tens digit of 3244?
4
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9
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1
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1
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6
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6
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0
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2
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6
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9
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9
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7
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7
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5
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6
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1
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3
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9
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3
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2
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1
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8
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9
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1
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4
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8
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6
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5
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0
What is the units digit of 86567?
7
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4
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1
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2
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5
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1
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6
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9
What is the units digit of 760?
0
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2
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0
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0
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8
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1
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0
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3
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9
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6
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5
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7
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5
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2
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4
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1
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1
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4
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6
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3
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3
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1
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5
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7
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8
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1
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5
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2
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3
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9
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4
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3
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4
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9
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6
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6
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9
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1
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1
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2
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5
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3
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7
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7
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0
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9
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4
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7
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0
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8
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5
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3
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0
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1
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6
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0
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1
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2
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2
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6
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7
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7
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3
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9
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6
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2
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1
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8
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2
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5
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3
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9
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8
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2
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5
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6
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2
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9
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4
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5
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3
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2
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2
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0
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6
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1
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0
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9
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4
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2
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4
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9
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5
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2
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9
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2
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4
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3
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7
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3
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2 | {
"pile_set_name": "DM Mathematics"
} |
(f)?
-f**2 - 3
Let r(g) = 16*g**2 + 2*g - 15. Let t(o) = 49*o**2 + 7*o - 44. Give -7*r(x) + 2*t(x).
-14*x**2 + 17
Let v(l) = -3*l - 2. Let z(h) = -12*h - 2. Let d(f) = 2*v(f) - z(f). Let w(b) = 5*b - 2. Give -3*d(q) + 4*w(q).
2*q - 2
Let c(h) = h**2 + h - 1. Suppose -1 = y - 2*l, 3*y - 4*l + 16 = 15. Let p(s) = -5*s**3 + s**2 + s - 1. Determine y*c(f) - p(f).
5*f**3
Let d(u) = -3*u**3 - 2*u**2 + 3. Let h(a) = -36*a**2 + 4 - 33*a**2 + 67*a**2 - 3*a**3. Let s be (1 - 2)*(-18)/(-6). Determine s*h(j) + 4*d(j).
-3*j**3 - 2*j**2
Let c(x) = -9*x**2 - 7*x - 3. Let z(q) = q + 31. Let a = -135 + 111. Let m be z(a). Let f(l) = -5*l**2 - 4*l - 2. Give m*f(r) - 4*c(r).
r**2 - 2
Let y(u) = -3*u**3 + 4*u**2 + 3*u - 2. Let o(b) = -43*b**3 + 41*b**3 + 4*b - 2 + 3*b**2 + 2 - 2. Determine 4*o(d) - 3*y(d).
d**3 + 7*d - 2
Let t(p) be the second derivative of p**3 + 7*p**2/2 + 2*p - 12. Let s(j) = -2*j + 8. Let k be s(6). Let g = k + 3. Let d(n) = n + 1. Give g*t(v) + 5*d(v).
-v - 2
Let t(r) = -14*r - 87. Let b(o) = 26*o + 174. Calculate 6*b(s) + 11*t(s).
2*s + 87
Let o(j) = -3*j**3 + j**2 - 2*j - 2. Let y(i) be the first derivative of 7*i**4/4 - 2*i**3/3 + 5*i**2/2 + 5*i + 19. Calculate -5*o(n) - 2*y(n).
n**3 - n**2
Let x(l) = 7*l + 49 + l - 25 - 20. Let u(y) = -9*y - 5. Give 3*u(z) + 4*x(z).
5*z + 1
Let d(g) = -g. Let o(f) = -2*f**2 - 11*f - 17. Let p(i) = i**2 + 4*i + 6. Let r(w) = 6*o(w) + 17*p(w). What is d(t) + r(t)?
5*t**2 + t
Let a(f) = -5*f**3 - 4*f**2 + 6. Let m(h) be the third derivative of -h**6/30 - h**5/20 + 5*h**3/6 - 129*h**2. What is 5*a(x) - 6*m(x)?
-x**3 - 2*x**2
Let h(k) = -36*k - 26. Let s(w) = 13*w + 9. Give -4*h(o) - 11*s(o).
o + 5
Let x(f) = -5*f**2 + 8*f + 5. Let i(c) = 73*c + 3 + 2*c**2 - c**2 - 68*c - 4*c**2. Determine -8*i(g) + 5*x(g).
-g**2 + 1
Let j(u) = -4*u + 1. Let l(s) = 2*s. Let r = 15 - 13. Suppose -r*t = -5*t. Suppose v + 1 - 6 = t. Give v*l(a) + 2*j(a).
2*a + 2
Let v(q) = 10*q - 18. Let n be v(2). Let j(t) = t**2 - 3*t + 2. Let p(w) = -2*w**2 + 7*w - 4. Give n*p(u) + 5*j(u).
u**2 - u + 2
Let d(g) = 17*g**3 - 4*g + 4. Let f be (-70)/84 + 1 - 23/(-6). Let w(p) = -34*p**3 + 7*p - 7. Determine f*w(y) + 7*d(y).
-17*y**3
Let d(p) = 2*p**2 + p + 1. Let s(x) = -x - 10. Let a be s(-7). Suppose 0 = 36*v - 103*v + 268. Let o(m) = 2*m**2 + m. Give a*d(l) + v*o(l).
2*l**2 + l - 3
Let k(d) = 14*d**2 - 17*d + 55. Let s(j) = 5*j**2 - 6*j + 18. What is 6*k(x) - 17*s(x)?
-x**2 + 24
Let f(p) = -4 - p - p + 6 - p. Let n(r) be the second derivative of r**3/6 + r**2/2 + 146*r. Calculate f(c) - n(c).
-4*c + 1
Let y(t) be the second derivative of -17*t + 0*t**2 - 1/2*t**3 + 0. Let f(m) = 2*m. Give 3*f(u) + 4*y(u).
-6*u
Let v(i) = 2*i**3 - 13*i**2 - 41*i - 29. Let h be v(9). Let t(n) = -4*n + 6. Let c(b) = 5*b - 6. Give h*t(w) + 6*c(w).
2*w + 6
Let x(y) = 5*y**2 - 2*y + 1. Let b(q) be the first derivative of -5*q**3/3 + q**2 - q + 447. Calculate -3*b(w) - 4*x(w).
-5*w**2 + 2*w - 1
Let t(c) = -c**3 - c**2 - c. Let m(r) = 8*r**3 + 6*r**2 + 4*r + 6. Calculate -m(b) - 6*t(b).
-2*b**3 + 2*b - 6
Let i(b) = -4*b**3 - 4*b**2 - 2*b - 1. Let v(c) be the first derivative of -c**3/3 - 71. Determine -i(y) + 4*v(y).
4*y**3 + 2*y + 1
Suppose 50*f + 48 = 38*f. Let n(p) = 12*p**3 - p. Let m(q) = -11*q**3 + q. Give f*m(t) - 3*n(t).
8*t**3 - t
Let w = -300 - -301. Let s(v) = v + 1. Let d(r) = 9*r + 6. Give w*d(n) - 6*s(n).
3*n
Let n(p) = -p**2 + 2*p + 6. Let o(c) = -4674 + c - c**2 + 4674. What is n(a) - 2*o(a)?
a**2 + 6
Let g(p) = 3*p + 11. Let b be (34*2/10)/(22/55). Let v(o) = -o - 4. Calculate b*v(a) + 6*g(a).
a - 2
Let b(l) = -102*l**2 - 25*l - 5. Let x(q) = -103*q**2 - 20*q - 4. Give 4*b(r) - 5*x(r).
107*r**2
Let w = 0 - 5. Let d(k) be the second derivative of 2*k**3/3 + 2*k**2 - k - 48. Let m(c) = -5*c - 5. Calculate w*m(s) - 6*d(s).
s + 1
Let x(d) be the second derivative of -7*d**5/10 - 11*d**3/6 + d - 56. Let k(h) = 3*h**3 + 2*h. What is -11*k(j) - 2*x(j)?
-5*j**3
Let j(z) = -71*z**2 - 7*z - 11. Let n(r) = -35*r**2 - 4*r - 6. Determine 4*j(q) - 7*n(q).
-39*q**2 - 2
Let k(a) = -6*a - 2. Let u be (-24)/60 + (-69)/15. Let m(t) = -14*t - 11. Let b(j) = 7*j + 6. Let f(v) = -5*b(v) - 3*m(v). Calculate u*f(y) - 6*k(y).
y - 3
Let m(a) = 4*a + 100. Let p(b) = -12*b - 290. Determine 7*m(k) + 2*p(k).
4*k + 120
Let j(u) = -u - 8. Let m be j(10). Let i(b) = -b - 35. Let z be i(m). Let y(w) = -2*w - 5. Let n(f) = -6*f - 14. Give z*y(h) + 6*n(h).
-2*h + 1
Let h(v) = -4*v**3 - 17*v**2 + 5*v. Let d(k) = k**3 + k. What is 5*d(r) - h(r)?
9*r**3 + 17*r**2
Let q(r) = -11*r**3 + 8*r**2 - 323. Let f(w) = -4*w**3 + 3*w**2 - 108. Give -8*f(h) + 3*q(h).
-h**3 - 105
Let q = 1 - 5. Let c(u) = -4*u + 11. Let b(z) = -z + 4. Let h(g) = -g**3 - 7*g**2 - 14*g - 87. Let s be h(-7). Give q*c(f) + s*b(f).
5*f
Let q(f) = -4*f**2 - 11*f - 4. Let p(x) = 3*x**2 + 10*x + 4. Determine 6*p(d) + 5*q(d).
-2*d**2 + 5*d + 4
Let r(c) = 19*c + 5. Let i(o) = 17*o + 6. What is 4*i(p) - 3*r(p)?
11*p + 9
Let o(s) = -7*s**2 - 2*s. Let i(p) be the third derivative of -p**5/60 - 105*p**2. Determine -4*i(w) + o(w).
-3*w**2 - 2*w
Let o(j) = -50*j**2 - 30*j**2 + 69*j**2. Let x(c) = c**3 + c**2. Calculate -o(l) - 11*x(l).
-11*l**3
Let h(p) = 9*p - 9. Let x(l) = -4*l**2 + 7*l. Let k be x(2). Let j(m) = -4*m + 4. Let i be -3*(24/9 - 1). What is i*j(u) + k*h(u)?
2*u - 2
Let o(i) = -4*i**2 + 6*i. Let p(d) = d**2 + 6*d - 4. Let r(n) = 2*n**2 + 8*n - 6. Let v(t) = 3*p(t) - 2*r(t). Determine 4*o(c) - 11*v(c).
-5*c**2 + 2*c
Let f(h) = 1737*h**3 - 1 + 2*h - 1738*h**3 - 28*h**2 + 28*h**2. Suppose -7*b + 2*b = -5. Let w(c) = c**3 - c + 1. Determine b*f(z) + 3*w(z).
2*z**3 - z + 2
Let q(b) = -5*b + 3*b - 62 + 11*b + 67. Let k(f) = 14*f + 7. What is -5*k(l) + 7*q(l)?
-7*l
Let b(f) be the second derivative of -f**4/12 + f**3/2 - f**2 - f. Let m(v) = -231166 + 231166 - v**2. Determine b(r) - 3*m(r).
2*r**2 + 3*r - 2
Let w(p) = -2*p**2 + 10*p + 10. Let y(f) = -6*f**2 + 28*f + 29. Give -8*w(c) + 3*y(c).
-2*c**2 + 4*c + 7
Let i(f) = 3*f + 7. Let s(l) = l + 1. Suppose 14*u + 8 = 16*u. Give u*s(m) - i(m).
m - 3
Let c(t) = -8*t**2. Suppose -5*h = -6*h - q + 2, q - 8 = -4*h. Let w(z) = 39*z**2. Determine h*w(n) + 11*c(n).
-10*n**2
Let s(o) = 4*o**3 - 4*o + 4. Suppose 9 + 2 - 14 = t. Let r(l) = 0*l - 4*l**3 - 3 + 2*l + l. What is t*s(k) - 4*r(k)?
4*k**3
Suppose 62 = -4*w + 34. Let v(z) = -3*z + 7. Let s(p) = -3*p + 6. What is w*s(g) + 6*v(g)?
3*g
Let f(x) = -276*x**2 - 5*x + 4. Let q(r) = -276*r**2 - 6*r + 5. Give 6*f(h) - 5*q(h).
-276*h**2 - 1
Let h(u) = 549*u**2 + 10*u + 5. Let t(y) = 10432*y**2 + 192*y + 96. Determine -96*h(p) + 5*t(p).
-544*p**2
Let j(p) = 15*p**2 - p + 3. Let t(l) = -16*l**2 - 3. Calculate -4*j(c) - 3*t(c).
-12*c**2 + 4*c - 3
Let w(b) = -3*b**2 - 17*b - 3. Let x(c) = -c**2 - c. Determine -w(l) + 6*x(l).
-3*l**2 + 11*l + 3
Let f(r) = 23*r**2 + 20*r - 3. Let i(a) be the first derivative of -8*a**3/3 - 7*a**2/2 + a + 79. Give 6*f(m) + 17*i(m).
2*m**2 + m - 1
Let s(d) be the second derivative of 2*d**3/3 - 3*d**2 + 1971*d. Suppose h = -3*h - 20. Let p(v) = -4*v + 5. Determine h*s(m) - 6*p(m).
4*m
Let v(k) = -1. Let z(u) = -315*u - 3. Determine -2*v(l) + z(l).
-315*l - 1
Let r(y) = -11*y**3 - 2*y**2. Let j(l) = 12*l**3 + 4*l**2 - 1. Let i(q) = 2*j(q) + 3*r(q). Let c(h) = -26*h**3 + 7*h**2 - 7. Determine -2*c(g) + 7*i(g).
-11*g**3
Let z(b) = -b**2 + 3*b. Suppose 4*q = -s - 32 + 8, -5*s + 3*q = 5. Let f be 3 + 1 - (2 + -1). Let g(i) = -i**2 + 4*i. Determine f*g(v) + s*z(v).
v**2
Let v(q) = q**3 + 3*q**2 + 4. Suppose -w + 3*w + 12 = 4*k, -2*w = -2*k + 2. Let j(b) = -2*b**3 - 6*b**2 - 9. Calculate k*v(s) + 2*j(s).
s**3 + 3*s**2 + 2
Let j(h) = 20*h. Let s(o) = -19*o. Let g(u) = -2*u**3 - 15*u**2 + 26*u - 2. Let r be g(-9). What is r*s(d) + 6*j(d)?
-13*d
Let q(m) = -5*m**2 + 3065*m - 8. Let g(h) = 2*h**2 - 1023*h + 3. Give 11*g(d) + 4*q(d).
2*d**2 + 1007*d + 1
Let t be (55/(-10) - -4)*-6*-1. Let j(k) = -k + 2. Let u(n) = -3*n + 5. What is t*j(s) + 4*u(s)?
-3*s + 2
Let u(b) = -11*b**2 + 4*b - 4. Let z(f) = 13*f + 5 + 1 + 11*f**2 + 17*f - 1 - 35*f. What is 5*u(v) + 4*z(v)?
-11*v**2
Let k(f) = f - 1. Let s(j) = -1 - 197*j + 94*j + 102*j + 2. Suppose 4 = i - 2*i. Give i*k(w) - 3*s(w).
-w + 1
Let s(q) = -23*q**3 + q**2 - 6*q - 1. L | {
"pile_set_name": "DM Mathematics"
} |
rob of sequence vxrv?
1/910
Two letters picked without replacement from {v: 2, o: 8, f: 5}. Give prob of sequence fv.
1/21
Three letters picked without replacement from {f: 2, g: 1, p: 4}. Give prob of sequence pff.
4/105
Four letters picked without replacement from {u: 2, z: 2, a: 2, m: 3, l: 1, i: 2}. Give prob of sequence aami.
1/990
Three letters picked without replacement from qqqkkqllllqql. Give prob of sequence klq.
5/143
Two letters picked without replacement from {b: 12, k: 1}. What is prob of sequence kb?
1/13
Four letters picked without replacement from ttssqq. What is prob of sequence qqtt?
1/90
Four letters picked without replacement from gggzzgggzgggzg. Give prob of sequence ggzg.
120/1001
What is prob of sequence ee when two letters picked without replacement from hhehhehehhhh?
1/22
Three letters picked without replacement from {c: 1, a: 1, n: 2}. Give prob of sequence nca.
1/12
What is prob of sequence blc when three letters picked without replacement from ttckbthhlhhk?
1/1320
What is prob of sequence zq when two letters picked without replacement from wqqzqqwwqqwzq?
7/78
Calculate prob of sequence eeed when four letters picked without replacement from ededeedeeded.
35/396
Three letters picked without replacement from {z: 2, w: 5, v: 2, a: 9}. Give prob of sequence zva.
1/136
Two letters picked without replacement from nqppnnp. What is prob of sequence nq?
1/14
Calculate prob of sequence eu when two letters picked without replacement from {e: 7, x: 4, k: 2, u: 1, w: 1}.
1/30
Four letters picked without replacement from {h: 5, i: 2, q: 3, f: 7}. What is prob of sequence fiqf?
3/680
Calculate prob of sequence ooz when three letters picked without replacement from ddozozzdoodooozo.
1/15
What is prob of sequence py when two letters picked without replacement from {p: 6, y: 12}?
4/17
Two letters picked without replacement from {x: 15, d: 4}. Give prob of sequence dx.
10/57
Calculate prob of sequence sm when two letters picked without replacement from {f: 3, s: 5, m: 1, d: 1}.
1/18
Four letters picked without replacement from ddhfhddhhfhch. Give prob of sequence hhhf.
2/143
What is prob of sequence wy when two letters picked without replacement from zzzyyyzzuuwuuz?
3/182
Two letters picked without replacement from rglgggr. Give prob of sequence rl.
1/21
Four letters picked without replacement from {s: 1, c: 5, m: 8, g: 1, d: 2}. Give prob of sequence ddmc.
1/714
Four letters picked without replacement from myyyvvccjssyjscsj. Give prob of sequence jsys.
3/1190
What is prob of sequence buxb when four letters picked without replacement from xuxuxbuuxubuuubu?
9/1820
Calculate prob of sequence eo when two letters picked without replacement from nongegnnn.
1/72
Three letters picked without replacement from urrrruuruuuu. What is prob of sequence rru?
7/66
Two letters picked without replacement from {j: 3, i: 1, e: 1}. Give prob of sequence ii.
0
Two letters picked without replacement from oebvt. What is prob of sequence ev?
1/20
Four letters picked without replacement from {f: 2, q: 4, p: 8}. What is prob of sequence ffqq?
1/1001
Calculate prob of sequence xqq when three letters picked without replacement from lllxqlllqllxllqqlql.
20/2907
Calculate prob of sequence er when two letters picked without replacement from rererrrrr.
7/36
Three letters picked without replacement from tnbntnnmmtmtnqnd. What is prob of sequence mmd?
1/560
Four letters picked without replacement from mcmcmcccmccmmmmmcc. What is prob of sequence mccc?
21/340
Four letters picked without replacement from {z: 3, n: 2, w: 2, t: 5, j: 6}. Give prob of sequence ttwn.
1/918
Two letters picked without replacement from dsh. What is prob of sequence hh?
0
Two letters picked without replacement from zbzgqb. What is prob of sequence zb?
2/15
Two letters picked without replacement from ajnddn. Give prob of sequence nn.
1/15
Calculate prob of sequence fui when three letters picked without replacement from {u: 2, f: 9, i: 2}.
3/143
What is prob of sequence jsjr when four letters picked without replacement from jjjriijjrsrjrj?
1/143
Three letters picked without replacement from zwcffzzzcwzzzfc. What is prob of sequence cwc?
2/455
Calculate prob of sequence ija when three letters picked without replacement from {a: 1, i: 1, j: 1}.
1/6
Two letters picked without replacement from {d: 1, x: 4, b: 5, p: 1, e: 3}. Give prob of sequence db.
5/182
Four letters picked without replacement from gjgpppgjp. Give prob of sequence gpgg.
1/126
Calculate prob of sequence kqv when three letters picked without replacement from ivqwrki.
1/210
Calculate prob of sequence guu when three letters picked without replacement from uuggguuuuguuuu.
15/91
Calculate prob of sequence ii when two letters picked without replacement from zrizvizfvi.
1/15
What is prob of sequence jw when two letters picked without replacement from bbjwwwjwbbbbbwbbbbw?
2/57
Calculate prob of sequence uhuh when four letters picked without replacement from {h: 14, u: 4}.
91/3060
Two letters picked without replacement from xxbxbxrbssxsxrsxxxbc. What is prob of sequence sc?
1/95
Three letters picked without replacement from ooloolouooolluujlu. What is prob of sequence jll?
5/1224
Four letters picked without replacement from ekkmmmkemekmmmkmee. Give prob of sequence mmee.
7/459
Three letters picked without replacement from {g: 5, l: 3}. Give prob of sequence glg.
5/28
Two letters picked without replacement from fcfffffffffffff. Give prob of sequence cf.
1/15
Calculate prob of sequence kxaa when four letters picked without replacement from azakauzkazaazzx.
1/546
Calculate prob of sequence yl when two letters picked without replacement from {r: 2, b: 1, l: 1, y: 1}.
1/20
Three letters picked without replacement from {t: 5, w: 2, i: 7, q: 4}. What is prob of sequence iit?
35/816
Three letters picked without replacement from jishq. Give prob of sequence hqi.
1/60
What is prob of sequence rrr when three letters picked without replacement from {r: 5, f: 1, d: 14}?
1/114
Calculate prob of sequence wu when two letters picked without replacement from {v: 4, w: 2, s: 2, q: 10, u: 1}.
1/171
Calculate prob of sequence mmv when three letters picked without replacement from {m: 4, v: 5, h: 3}.
1/22
Two letters picked without replacement from {x: 2, v: 2, d: 2, r: 1, u: 1}. Give prob of sequence rx.
1/28
Three letters picked without replacement from njlsm. Give prob of sequence slj.
1/60
What is prob of sequence ux when two letters picked without replacement from uuuxuuuuuuuuu?
1/13
Two letters picked without replacement from ttmxmbbxtlmxxxxxbtxt. Give prob of sequence xl.
2/95
What is prob of sequence wk when two letters picked without replacement from kwl?
1/6
Calculate prob of sequence gf when two letters picked without replacement from {f: 1, k: 1, g: 2}.
1/6
What is prob of sequence ssss when four letters picked without replacement from ssss?
1
What is prob of sequence yyyq when four letters picked without replacement from qqyyyy?
2/15
What is prob of sequence aaim when four letters picked without replacement from aajjmajjjjimjjmmjm?
1/2448
Calculate prob of sequence il when two letters picked without replacement from rlbia.
1/20
Three letters picked without replacement from rrrerrrrerrrrer. Give prob of sequence rre.
66/455
What is prob of sequence ymm when three letters picked without replacement from {m: 13, y: 5}?
65/408
What is prob of sequence tb when two letters picked without replacement from {x: 2, f: 1, u: 3, t: 1, b: 4}?
2/55
Calculate prob of sequence pq when two letters picked without replacement from {g: 12, p: 1, q: 3}.
1/80
Three letters picked without replacement from {v: 6, b: 13}. Give prob of sequence vvb.
65/969
Calculate prob of sequence nee when three letters picked without replacement from nezzzzzzzznzzzzennze.
1/285
Three letters picked without replacement from btbiaibnbibwa. Give prob of sequence ibb.
5/143
Calculate prob of sequence ry when two letters picked without replacement from rpmnyreyemenyy.
4/91
Four letters picked without replacement from llzzzlzzzz. What is prob of sequence zlzl?
1/20
Four letters picked without replacement from aaonooknahoon. Give prob of sequence hkon.
1/1144
What is prob of sequence ggv whe | {
"pile_set_name": "DM Mathematics"
} |
4}. What is prob of picking 1 m, 1 n, and 1 y?
1/85
Three letters picked without replacement from {t: 3, w: 3}. Give prob of picking 2 t and 1 w.
9/20
What is prob of picking 3 x when three letters picked without replacement from xxxxxxxxxx?
1
What is prob of picking 2 n when two letters picked without replacement from {n: 3, a: 1}?
1/2
Calculate prob of picking 1 d and 2 y when three letters picked without replacement from bacabbydcybbbbxca.
1/680
Calculate prob of picking 1 u, 1 e, 1 n, and 1 f when four letters picked without replacement from funueep.
4/35
Two letters picked without replacement from {c: 13, k: 1, r: 3, q: 2}. Give prob of picking 1 k and 1 c.
13/171
Calculate prob of picking 3 p and 1 e when four letters picked without replacement from {p: 6, e: 6}.
8/33
What is prob of picking 3 i and 1 n when four letters picked without replacement from iiiiiiiiniiiiii?
4/15
Four letters picked without replacement from {p: 10}. Give prob of picking 4 p.
1
Calculate prob of picking 3 r when three letters picked without replacement from rrrrr.
1
What is prob of picking 1 t, 1 g, 1 p, and 1 h when four letters picked without replacement from {p: 1, f: 2, b: 2, g: 2, t: 1, h: 1}?
1/63
Three letters picked without replacement from eejeeeeppbewp. Give prob of picking 1 p, 1 w, and 1 b.
3/286
Three letters picked without replacement from {a: 1, w: 7}. Give prob of picking 3 w.
5/8
Four letters picked without replacement from {m: 1, a: 3, g: 3, q: 2, z: 1, x: 3}. Give prob of picking 1 q and 3 g.
2/715
Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {p: 2, g: 4}.
1/5
Four letters picked without replacement from {o: 2, h: 6}. What is prob of picking 4 h?
3/14
Calculate prob of picking 4 y when four letters picked without replacement from ylylyllylylly.
3/143
Three letters picked without replacement from ppzpzppzzzbpupz. Give prob of picking 1 b and 2 p.
3/65
What is prob of picking 1 y and 1 m when two letters picked without replacement from bbbbmbymbmbbmbyb?
1/15
Two letters picked without replacement from mpwwcxmlc. What is prob of picking 1 p and 1 c?
1/18
Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {i: 5, y: 13}.
65/153
Three letters picked without replacement from cyckxckyyyyck. Give prob of picking 1 x, 1 k, and 1 c.
6/143
Four letters picked without replacement from hdusuuuuudhuhdhuhduu. Give prob of picking 3 u and 1 d.
32/323
What is prob of picking 1 q and 1 n when two letters picked without replacement from exjnjeejejqnono?
1/35
What is prob of picking 2 c when two letters picked without replacement from {x: 12, c: 3}?
1/35
Three letters picked without replacement from akkgkwakgwkkw. Give prob of picking 2 g and 1 k.
3/143
What is prob of picking 1 f and 1 e when two letters picked without replacement from {m: 1, f: 2, e: 1, x: 1, b: 2}?
2/21
Two letters picked without replacement from {d: 2, c: 1, k: 1, x: 2}. What is prob of picking 1 c and 1 k?
1/15
Three letters picked without replacement from zgzg. Give prob of picking 1 z and 2 g.
1/2
Four letters picked without replacement from gttgbgt. Give prob of picking 2 t and 2 g.
9/35
Two letters picked without replacement from wjjnwttwtwwwwj. What is prob of picking 1 w and 1 j?
3/13
Three letters picked without replacement from {j: 1, t: 1, k: 5, d: 3}. Give prob of picking 3 d.
1/120
Four letters picked without replacement from {o: 2, y: 2, r: 3, f: 6, h: 1}. What is prob of picking 2 f, 1 y, and 1 o?
60/1001
Three letters picked without replacement from hhhhh. What is prob of picking 3 h?
1
What is prob of picking 1 x and 1 e when two letters picked without replacement from dlyxwle?
1/21
Two letters picked without replacement from wmam. Give prob of picking 1 a and 1 m.
1/3
Two letters picked without replacement from {p: 7, f: 1}. Give prob of picking 1 p and 1 f.
1/4
What is prob of picking 2 t and 1 q when three letters picked without replacement from tkqttzqtti?
1/6
Four letters picked without replacement from {m: 1, w: 1, h: 6, g: 3, i: 4}. Give prob of picking 2 g, 1 h, and 1 w.
6/455
Calculate prob of picking 4 v when four letters picked without replacement from vfvfvv.
1/15
Calculate prob of picking 1 f and 1 u when two letters picked without replacement from zzuufzzzuzzzuzzuuu.
7/153
Two letters picked without replacement from {u: 4, d: 5, f: 3}. Give prob of picking 2 d.
5/33
What is prob of picking 1 n and 1 r when two letters picked without replacement from {n: 1, r: 2, c: 2}?
1/5
What is prob of picking 1 f, 1 k, 1 w, and 1 x when four letters picked without replacement from {j: 1, w: 2, k: 2, x: 8, f: 1, i: 1}?
32/1365
Two letters picked without replacement from ere. What is prob of picking 2 e?
1/3
Four letters picked without replacement from {d: 1, b: 1, f: 4, v: 4}. What is prob of picking 1 d and 3 v?
2/105
Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {r: 1, w: 7, x: 1}.
1/36
What is prob of picking 3 l and 1 m when four letters picked without replacement from {l: 8, m: 2}?
8/15
Two letters picked without replacement from wxxwwvvwvvkkhx. Give prob of picking 2 v.
6/91
Calculate prob of picking 1 l, 1 w, and 2 m when four letters picked without replacement from {l: 3, w: 4, f: 1, j: 1, m: 2}.
2/55
Four letters picked without replacement from {g: 3, c: 1, b: 1, r: 3, p: 1, s: 2}. Give prob of picking 1 r, 1 g, 1 s, and 1 b.
3/55
Two letters picked without replacement from {x: 1, h: 1, i: 3, n: 4, m: 6}. What is prob of picking 2 i?
1/35
Two letters picked without replacement from {s: 4, a: 10}. What is prob of picking 2 s?
6/91
What is prob of picking 2 z when two letters picked without replacement from {j: 1, l: 2, z: 11, w: 1}?
11/21
What is prob of picking 1 r and 2 s when three letters picked without replacement from ysssysyysyyyrsrsyr?
21/272
Two letters picked without replacement from {h: 8, n: 2}. Give prob of picking 1 h and 1 n.
16/45
Two letters picked without replacement from {a: 2, o: 3, f: 1, i: 1, u: 8, y: 1}. Give prob of picking 1 u and 1 a.
2/15
Calculate prob of picking 2 c when two letters picked without replacement from {d: 4, c: 3, a: 1}.
3/28
Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {x: 3, j: 2, e: 3, a: 2, h: 3}.
3/286
What is prob of picking 1 x and 1 n when two letters picked without replacement from {i: 1, x: 2, a: 1, n: 2, d: 1, w: 1}?
1/7
Calculate prob of picking 1 j and 1 u when two letters picked without replacement from fjujjyyja.
1/9
What is prob of picking 1 h and 1 q when two letters picked without replacement from {q: 3, h: 4}?
4/7
What is prob of picking 1 k and 1 c when two letters picked without replacement from wlackfclacwalcl?
4/105
Calculate prob of picking 2 i and 1 t when three letters picked without replacement from nittttilnttinttilii.
40/323
Three letters picked without replacement from {h: 2, x: 7, n: 3}. Give prob of picking 2 x and 1 h.
21/110
What is prob of picking 1 l and 1 f when two letters picked without replacement from fxffxfxxxlx?
4/55
Two letters picked without replacement from {c: 4}. Give prob of picking 2 c.
1
What is prob of picking 1 r and 1 g when two letters picked without replacement from {g: 14, y: 5, r: 1}?
7/95
Three letters picked without replacement from roootoooorroooyro. Give prob of picking 1 y and 2 t.
0
Three letters picked without replacement from ygxemgy. Give prob of picking 1 m, 1 y, and 1 x.
2/35
What is prob of picking 1 p and 1 j when two letters picked without replacement from pgllllllljllllllg?
1/136
Two letters picked without replacement from figgcffgiiffgfjf. Give prob of picking 2 f.
7/40
Three letters picked without replacement from {b: 6}. What is prob of picking 3 b?
1
Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {e: 4, z: 1, n: 1, w: 4}.
4/45
What is prob of picking 3 i when three letters picked without replacement from iiinini?
2/7
Four letters picked without replacement from ajjgjjgajaagjjg. What is prob of picking 2 j and 2 a?
6/65
Two letters picked without replacement from gejee. What is prob of picking 1 j and 1 g?
1/10
Two letters picked without replacem | {
"pile_set_name": "DM Mathematics"
} |
he terms in -26*m**3 + 16*m**3 - 25*m**3 + 2*m + 36*m**3 - 120.
m**3 + 2*m - 120
Collect the terms in -11187*t**3 - 3*t - t - 4*t + t + 3*t**2 + 9*t.
-11187*t**3 + 3*t**2 + 2*t
Collect the terms in -1369 + 2739 - 1370 - 10607*m**3 + 7*m**2.
-10607*m**3 + 7*m**2
Collect the terms in 3 + 10190*h - 9944*h - 13 + 10.
246*h
Collect the terms in -28*t**2 + 6 + 28*t**2 + 9496*t**3 - 6.
9496*t**3
Collect the terms in 28*z**2 + 25235*z - 25166*z - 7*z**2 + 21*z**2.
42*z**2 + 69*z
Collect the terms in 44*t - 292*t - 275*t + 92*t - 25*t.
-456*t
Collect the terms in 0 + 163*i + 115*i + 163*i + 0 - 648*i + 187*i.
-20*i
Collect the terms in -22*x + 21 - 39*x - 41 + 20 - 37*x.
-98*x
Collect the terms in -653 - 6300*r + 6225*r + 653.
-75*r
Collect the terms in -29*g**3 + 774*g - 2 - 691*g + 51.
-29*g**3 + 83*g + 49
Collect the terms in 3435369*o + 3435370*o - 6870753*o - 1.
-14*o - 1
Collect the terms in 5383913642 - 292*c - 5383913642.
-292*c
Collect the terms in q**3 - 5554*q + 17293*q - 5654*q - 5647*q.
q**3 + 438*q
Collect the terms in -459168*a**3 + 920341*a**3 - 459753*a**3.
1420*a**3
Collect the terms in 8347433 - 4170119 - p**2 - 4177314.
-p**2
Collect the terms in -1071*j**2 - 5118*j**2 - 23*j**2 + 606*j**2 - 598.
-5606*j**2 - 598
Collect the terms in 71*h - 70837 + 144000 - 73164.
71*h - 1
Collect the terms in -555294715 + 297*h**3 + 555294715.
297*h**3
Collect the terms in 160*p**3 + 0*p**3 - 1068481*p + 1068481*p + 19*p**3.
179*p**3
Collect the terms in -123870398*f**2 + 360400182*f**2 + 63638120*f**2.
300167904*f**2
Collect the terms in -49*v + 49*v + 204708*v**3.
204708*v**3
Collect the terms in 12299*f - 61458*f + 12377*f + 12183*f + 12102*f + 12019*f.
-478*f
Collect the terms in -115*b + 104*b + 136 - 136 + 124*b + 813*b.
926*b
Collect the terms in -30919443*b**2 - 4*b**3 + 30919443*b**2.
-4*b**3
Collect the terms in -87*j**3 + 35470*j**2 - 35470*j**2 + 31*j**3 - 173*j**3.
-229*j**3
Collect the terms in -2781*b + 5298*b - 2517*b + 69*b**3.
69*b**3
Collect the terms in 32*a + 74 - 26 - 14 - 28.
32*a + 6
Collect the terms in -151982*t**2 + 76030*t**2 + 75608*t**2.
-344*t**2
Collect the terms in 2 + 292420*j**2 + 0 + 6 - 8 - 292432*j**2.
-12*j**2
Collect the terms in 3068*k + 3081*k + 3071*k - 15374*k + 3079*k + 3072*k.
-3*k
Collect the terms in -413*f + 261*f - 246*f - 2225.
-398*f - 2225
Collect the terms in 2000*i**2 + 4 + 20*i**3 - 2 - 1647*i + 1649*i.
20*i**3 + 2000*i**2 + 2*i + 2
Collect the terms in -143*w**2 - 126*w**2 + 313*w**2 - 125*w**2.
-81*w**2
Collect the terms in 3*r**3 + 262236*r - 523985*r + 33 - 5*r**3 + 261749*r - 33.
-2*r**3
Collect the terms in 8*b**2 - 34902 - 34934 - 7*b**2 + 69836.
b**2
Collect the terms in -48777 + 32*r - 31*r + 48777.
r
Collect the terms in -2240*u**2 - 182 + 182 - 315*u**2 + 2368*u**2.
-187*u**2
Collect the terms in -185075*z - 25123*z**3 + 185075*z.
-25123*z**3
Collect the terms in 407960 - 407960 + 77*y - 74*y.
3*y
Collect the terms in -5*p + 6*p - 37 + 12*p - 4*p - 8*p.
p - 37
Collect the terms in -39386*t**3 + 238370*t**3 + 64375*t**3.
263359*t**3
Collect the terms in -8*z - 54*z - 1 - 353*z**3 - 185*z**3 - 493*z**3 + 33*z**3.
-998*z**3 - 62*z - 1
Collect the terms in -c**3 + 288 - 778 + 2*c - 1080.
-c**3 + 2*c - 1570
Collect the terms in -1044 - 1063 + 3153 + 18*l - 1046.
18*l
Collect the terms in -75 + 4231*o - 4222*o - 73 - 81 + 229.
9*o
Collect the terms in -19207600*o**2 - 2*o - 30234733*o**2 + 2*o.
-49442333*o**2
Collect the terms in -10*h - 22743 + 77*h + 22095.
67*h - 648
Collect the terms in 10*p**2 - p**2 - 4*p**2 - 6*p**2 + p**2 - 12*p**2 + 0*p**2 + 4*p.
-12*p**2 + 4*p
Collect the terms in -16005088*p + 43*p**2 + 16005088*p.
43*p**2
Collect the terms in h - h + 274948*h**3 + 691852*h**3.
966800*h**3
Collect the terms in -18122 + 54360 - 11*a - 18117 - 18121 + 12*a.
a
Collect the terms in 5*w**2 - 216 + 15*w**2 - 275 - 12*w**2 + 491.
8*w**2
Collect the terms in 3*x**2 - 1697*x**3 - 2746*x**3 - 428*x**3 - 3*x**2 - 556*x**3.
-5427*x**3
Collect the terms in -119144*r**2 + 119144*r**2 - 486*r**3 + 598*r**3.
112*r**3
Collect the terms in 53875 - 10767 - 10761 - 10757 - w - 10776 - 10770.
-w + 44
Collect the terms in 22 - 150928*i - 6 - 16.
-150928*i
Collect the terms in -53636865*h**3 + 53636832*h**3 - 42 + 42.
-33*h**3
Collect the terms in -1 + 1609733304*z**2 - 1609733230*z**2 + 1.
74*z**2
Collect the terms in -346 - 660 - 58497*i + 58511*i.
14*i - 1006
Collect the terms in -331741*f - 380178*f + 521770*f - 2713358*f.
-2903507*f
Collect the terms in 85 + c**2 - 85 - 48804*c**3.
-48804*c**3 + c**2
Collect the terms in -18353*x - 18355*x + 73408*x + 8*x**2 - 18341*x - 5*x**2 - 18359*x.
3*x**2
Collect the terms in -46944217*p - 46944222*p + 93888404*p.
-35*p
Collect the terms in 254262 + 57*z - 254262 - 66*z.
-9*z
Collect the terms in -621644*q + 1387049*q + 1432993*q.
2198398*q
Collect the terms in -2*x**2 + 8*x**2 - 19*x**2 - 462 + 8*x**2.
-5*x**2 - 462
Collect the terms in -80019 - 600*f + 40026 + 39993.
-600*f
Collect the terms in -137340*q**2 + 68719*q**2 + 68669*q**2.
48*q**2
Collect the terms in -5222*m + 10497*m + 0 + 4*m**2 - 5275*m + 0.
4*m**2
Collect the terms in 2*y + 100*y**3 - 304*y**3 + 97*y**3 - 3*y - 3*y + 112*y**3.
5*y**3 - 4*y
Collect the terms in -2880347*m + 476901*m - 1368994*m.
-3772440*m
Collect the terms in 921*v - 397*v - 268*v.
256*v
Collect the terms in -130*o - 134*o + 393*o - 130*o + 2.
-o + 2
Collect the terms in -2862254 + 2862254 - 75*b**3.
-75*b**3
Collect the terms in 47*h**2 + 93*h**2 + 180*h**3 - 165*h**3 - 140*h**2.
15*h**3
Collect the terms in -4*b - 181386814*b**2 + 181386808*b**2 + b + 3*b.
-6*b**2
Collect the terms in 11*i**2 + 23*i**2 - 107*i**2 + 11*i**2 + 10*i**2 + 6*i**2 + 45*i**2.
-i**2
Collect the terms in -318*a - 12*a**2 - 289*a + 892*a.
-12*a**2 + 285*a
Collect the terms in 57*a + 56*a + 51*a + 33*a + 32*a - 270*a.
-41*a
Collect the terms in 2720*w - 8156*w + 2636*w + 2655*w.
-145*w
Collect the terms in 11*w + 899814 - 449910 - 12*w - 449904.
-w
Collect the terms in -39 - 9501*a + 4*a**2 + 16 - 39 + 9504*a.
4*a**2 + 3*a - 62
Collect the terms in -9425*f**3 + 0*f - f - 7541*f**3 + 18257*f**3 - f.
1291*f**3 - 2*f
Collect the terms in 7 - 2825*s - 2887*s - 5 + 5765*s.
53*s + 2
Collect the terms in -183751368*y**2 + 367502745*y**2 - 183751375*y**2.
2*y**2
Collect the terms in -128*g + 131*g - 217*g - 149*g.
-363*g
Collect the terms in 738*m**2 - 738*m**2 + 552036*m**3 - 552016*m**3.
20*m**3
Collect the terms in 84922*q**2 - 263*q**3 - 266*q**3 - 84922*q**2.
-529*q**3
Collect the terms in 320878*n - 58365*n + 601823*n + 199396*n.
1063732*n
Collect the terms in -638*q**3 - 604*q**3 + 1807*q**3 - 583*q**3.
-18*q**3
Collect the terms in -6 - 9 - 11 + 26 - 136281*m**3.
-136281*m**3
Collect the terms in -75*f**3 + 190 - 159 + 73*f**3 + 62*f.
-2*f**3 + 62*f + 31
Collect the terms in -468*i - 2 - 2*i**2 + 278*i**3 + i**2 - 696*i.
278*i**3 - i**2 - 1164*i - 2
Collect the terms in 1798*l**3 + 1298*l**3 - l - l + 1162*l**3.
4258*l**3 - 2*l
Collect the terms in 546 - 296 - 4*p - 281 - 146.
-4*p - 177
Collect the terms in 191*u**3 + 96*u**2 + 101*u**2 + 24 - 194*u**3 - 197*u**2 + 3*u.
-3*u**3 + 3*u + 24
Collect the terms in -4*c + 4*c - 94*c**2 + 55*c**2 - 139 - 83.
-39*c**2 - 222
Collect the terms in -412556*o**2 - 413212*o**2 + 824945*o**2.
-823*o**2
Collect the terms in -41322 - 10*d + 14*d - d - 5*d + 41322.
-2*d
Collect the terms in -16716*t**2 - 16359*t**2 - 16697*t**2 + 66453*t**2 - 16710*t**2.
-29*t**2
Collect the terms in 5271893*d - 5273214*d + 2 - 2.
-1321*d
Collect the terms in 26996*n**2 - 12*n - 11*n - 6046*n**2 + 23*n.
20950*n**2
Collect the terms in 5 - 7 + 1 - 5 - 30*l.
-30*l - 6
Collect the terms in -334*q**3 - 378*q**3 + 1106*q**3 - 372*q**3.
22*q**3
Collect the terms in 11038*b + 15734*b + 5 + 13332*b - 2*b**2 + 6453*b.
-2*b**2 + 46557*b + 5
Collect the terms in -10497*t**3 + 5139*t**3 + 5217*t**3 + t**2.
-141*t**3 + t**2
Collect the terms in -t**2 - 1642*t - 67 + 119 - 53.
-t**2 - 1642*t - 1
Collect the terms in 1298*q + 1005*q - 67*q**3 + 140*q**3 - 72*q**3.
q**3 + 2303*q
Collect the terms in 3760925 - 3760925 - 2640*h.
-2640*h
Collect the terms in -5640*b + 554 - 278 - 276.
-5640*b
Collect the terms in 171 - 1238 - b - 6*b**3 - 2*b - | {
"pile_set_name": "DM Mathematics"
} |
, -62280, -77850?
-93420
What is next in -22, -52, -94, -154, -238?
-352
What is the next term in 10, 14, 18?
22
What is the next term in 27, 52, 77?
102
What is the next term in 897, 3582, 8057, 14322, 22377, 32222?
43857
What is the next term in -33, -169, -395, -711, -1117, -1613?
-2199
What is next in 194, 198, 208, 224, 246, 274?
308
What is the next term in -192, -777, -1750, -3111, -4860?
-6997
What is the next term in 492, 996, 1514, 2052, 2616?
3212
What comes next: -14, -65, -154, -281, -446?
-649
What is the next term in 392, 399, 406, 413?
420
What is the next term in -36, -68, -100, -132, -164, -196?
-228
What is the next term in 5833, 5837, 5841, 5845?
5849
What comes next: 1730, 3469, 5210, 6953, 8698, 10445?
12194
What is the next term in 14, 6, -6, -22, -42?
-66
What is next in -11, -48, -153, -362, -711, -1236?
-1973
What is the next term in -95, -179, -271, -377, -503, -655, -839, -1061?
-1327
What is next in 230, 921, 2062, 3647, 5670, 8125?
11006
What is the next term in 12054, 12044, 12026, 11994, 11942, 11864, 11754, 11606?
11414
What is next in 39, 151, 337, 597, 931, 1339?
1821
What is the next term in 17, 44, 77, 116, 161, 212?
269
What comes next: -80, -158, -234, -308, -380?
-450
What comes next: 4, 31, 106, 253, 496, 859, 1366?
2041
What is the next term in -122, -125, -140, -173, -230?
-317
What is next in -3, -8, -25, -60, -119, -208, -333, -500?
-715
What comes next: 236, 249, 274, 317, 384, 481, 614?
789
What is next in -2, -4, -14, -32, -58, -92, -134?
-184
What is next in -90, -591, -1418, -2565, -4026, -5795?
-7866
What comes next: -176, -240, -306, -374, -444, -516, -590?
-666
What comes next: 133, 267, 411, 571, 753, 963?
1207
What is next in -24, -89, -270, -627, -1220?
-2109
What comes next: -27, -33, -49, -81, -135, -217, -333?
-489
What is next in -544, -2150, -4836, -8608, -13472, -19434, -26500?
-34676
What is the next term in 540, 1069, 1598?
2127
What comes next: -115, -113, -111, -109, -107?
-105
What is next in 17, 30, 51, 80?
117
What comes next: 2173, 2162, 2149, 2140, 2141?
2158
What comes next: 18, 44, 60, 60, 38, -12?
-96
What is next in 35, 75, 115?
155
What is the next term in -103, -105, -107, -109, -111?
-113
What comes next: 252, 242, 242, 258, 296?
362
What is next in -105, -100, -85, -54, -1, 80?
195
What comes next: 166, 222, 280, 340, 402, 466, 532?
600
What is next in -2, -12, -26, -44, -66, -92?
-122
What is the next term in 26, 77, 134, 197, 266, 341?
422
What is the next term in -22, -121, -400, -949, -1858, -3217, -5116, -7645?
-10894
What comes next: -31, -26, -21, -16, -11?
-6
What comes next: 197, 200, 205, 212, 221, 232?
245
What comes next: -63, -54, -41, -24, -3, 22?
51
What comes next: 117, 125, 135, 147?
161
What comes next: 1673, 3343, 5013?
6683
What is the next term in -19, -48, -77, -106, -135, -164?
-193
What comes next: 3891, 7680, 11483, 15306, 19155?
23036
What is the next term in 47, 33, 17, -1, -21, -43?
-67
What comes next: -7, -7, -13, -31, -67, -127, -217?
-343
What is next in -7427, -7429, -7431, -7433, -7435?
-7437
What is next in -51, -110, -155, -180, -179, -146?
-75
What is next in -882, -1769, -2656, -3543?
-4430
What is the next term in -111, -219, -327, -435, -543?
-651
What comes next: 42, 93, 144?
195
What is next in 306, 605, 904, 1203, 1502, 1801?
2100
What is next in 8, -6, -36, -88, -168, -282, -436?
-636
What is the next term in 12869, 25737, 38605?
51473
What is next in -12, -58, -136, -246, -388, -562?
-768
What is the next term in 150, 600, 1348, 2394, 3738, 5380, 7320?
9558
What is the next term in 9, 26, 47, 72, 101, 134?
171
What is the next term in 100, 121, 148, 175, 196, 205?
196
What is the next term in -197, -389, -569, -731, -869, -977, -1049?
-1079
What is the next term in -59, -65, -71, -77, -83, -89?
-95
What is the next term in -23, -53, -79, -101, -119, -133?
-143
What comes next: -35, -143, -323, -575, -899?
-1295
What comes next: -65, -88, -125, -176, -241?
-320
What is next in 48, 91, 148, 225, 328, 463, 636?
853
What comes next: 3749, 3750, 3751, 3752, 3753?
3754
What is the next term in 131, 267, 403, 539, 675, 811?
947
What is next in 69, 521, 1751, 4149, 8105, 14009, 22251?
33221
What comes next: 407, 407, 409, 413, 419, 427?
437
What comes next: -3486, -6971, -10456, -13941, -17426?
-20911
What is next in 5, -10, -51, -130, -259, -450, -715?
-1066
What comes next: -3, -2, -3, -6?
-11
What is the next term in -6, -25, -54, -93, -142?
-201
What is next in -36, -23, -18, -27, -56, -111, -198, -323?
-492
What is next in 123, 130, 137, 144?
151
What comes next: 114, 133, 166, 213?
274
What is next in 456, 450, 442, 432?
420
What is next in 7766, 15534, 23304, 31076, 38850, 46626?
54404
What is next in 206, 206, 196, 170, 122, 46, -64?
-214
What is the next term in 8, -83, -254, -517, -884, -1367, -1978, -2729?
-3632
What comes next: -3434, -6867, -10300, -13733, -17166, -20599?
-24032
What is next in -7731, -15461, -23191, -30921?
-38651
What comes next: -74, -70, -66, -62, -58, -54?
-50
What is the next term in 45, 95, 145, 195?
245
What is next in -75, -153, -237, -327, -423, -525, -633?
-747
What comes next: -2410, -4824, -7238, -9652, -12066?
-14480
What is the next term in 2, 5, 8, 11, 14?
17
What comes next: 5540, 5541, 5542?
5543
What is next in -100, -201, -300, -397?
-492
What is the next term in -22, -58, -82, -88, -70, -22, 62?
188
What comes next: 37, 72, 99, 112, 105, 72, 7?
-96
What is the next term in 19, 15, 11, 7, 3?
-1
What is the next term in 144, 574, 1286, 2280, 3556?
5114
What is the next term in -108, -114, -122, -132, -144, -158, -174?
-192
What comes next: 1299, 2597, 3895?
5193
What is the next term in 130, 530, 1200, 2140, 3350?
4830
What is the next term in -47, -83, -119, -155?
-191
What is next in 684, 692, 714, 756, 824, 924, 1062, 1244?
1476
What comes next: 207, 751, 1643, 2877, 4447, 6347, 8571, 11113?
13967
What is the next term in 304, 315, 334, 361, 396?
439
What is the next term in -193, -766, -1727, -3082, -4837, -6998, -9571, -12562?
-15977
What is the next term in -124, -133, -140, -139, -124?
-89
What is the next term in 13, 0, -39, -116, -243, -432?
-695
What is next in 7, 63, 209, 487, 939?
1607
What is the next term in 135, 75, -91, -417, -957?
-1765
What comes next: -360, -345, -330, -315, -300, -285?
-270
What is next in 1404, 2814, 4224, 5634, 7044, 8454?
9864
What comes next: 14, 68, 152, 260, 386?
524
What is next in -1005, -1004, -1003, -1002?
-1001
What comes next: -184, -193, -216, -259, -328, -429, -568, -751?
-984
What comes next: -222, -220, -218?
-216
What is next in -38, -71, -100, -125, -146?
-163
What is next in 832, 1671, 2522, 3391, 4284, 5207, 6166, 7167?
8216
What comes next: -160, -155, -150?
-145
What comes next: 42, 312, 1040, 2454, 4782, 8252?
13092
What is the next term in 138, 143, 152, 165, 182, 203, 228?
257
What is the next term in -11, -40, -89, -158, -247, -356?
-485
What is next in 11, 55, 119, 197, 283?
371
What comes next: -882, -880, -876, -870, -862?
-852
What is next in -7, -17, -27, -37, -47, -57?
-67
What is next in -77, -107, -187, -341, -593, -967, -1487?
-2177
What comes next: -23, -39, -55, -71, -87?
-103
What comes next: -106, -257, -408, -559?
-710
What is next in -6, -1, 4?
9
What comes next: -297, -295, -293, -291, -289, -287?
-285
What is next in -1254, -2531, -3796, -5043, -6266, -7459?
-8616
What is the next term in 10, 23, 36?
49
What is the next term in -360, -1446, -3256, -5790, -9048, -13030, -17736?
-23166
What is next in 4, 25, 60, 115, 196?
309
What comes next: -770, -1567, -2364, -3161, -3958, -4755?
-5552
What is the next term in 1654, 3305, 4956?
6607
What is next in -60, -89, -174, -345, -632, -1065, -1674, -2489?
-3540
What is the next term in 5, 27, 85, 197, 381?
655
What comes next: 35, 63, 91, 119, 147?
175
What is next in 23, 102, 235, 422, 663, 958?
1307
What comes next: -567, -1133, -1699?
-2265
What is the next term in -214, -439, -678, -937, -1222, -1539, -1894?
-2293
What is next in -381, -419, -459, -501, -545, -591, -639?
-689
What is the next term in 460, 463, 468, 475?
484
What comes next: -3900, -3901, -3902, -3903, -3904, -3905?
-3906
What comes next: -199, -421, -643, -865, -1087, -1309?
-1531
What | {
"pile_set_name": "DM Mathematics"
} |
.00002
Let g(s) = 85*s**2 - 194*s - 386. Let u be g(-54). Round u to the nearest 100000.
300000
Suppose -3*g = -n + 2015506, 20*g = -4*n + 17*g + 8061994. Round n to the nearest ten thousand.
2020000
Let s = -124.8029 - -0.0029. Let g = -7.1 + 119.1. Let p = s + g. Round p to zero decimal places.
-13
Let u = -73908 - -73907.69183. Let y = 62.63983 - u. Let d = y - 63. Round d to three decimal places.
-0.052
Let t = -0.629 + 0.287. Let x = 0.223 + t. Let n = 0.118906 + x. Round n to five decimal places.
-0.00009
Let x = 484.3733 - 489.2434592. Let h = 4.87 + x. Round h to 5 decimal places.
-0.00016
Let b = -274448 + 254589.1. Round b to the nearest one hundred.
-19900
Suppose -12 = j + 3. Let f(l) = -2200*l**3 + 17*l - 2208*l**3 - 9*l**2 + 15 + 4407*l**3. Let q be f(j). What is q rounded to the nearest 100?
1100
Let x = 403 + -115. Let d = -287.1 + x. Round d to 0 dps.
1
Let w = 0.9834 + -0.3967. Round w to one decimal place.
0.6
Let r = -21237986 + 45237980. Suppose -8*s + r = -6*s. Suppose -2*t - u = -s, -2 - 1 = u. What is t rounded to the nearest one million?
6000000
Let s = -2.585 - 2.595. Let p = 0.046 + -4.846. Let q = s - p. What is q rounded to 1 dp?
-0.4
Let i = -610.693 + 611. Let p = 33.797 + -33.8. Let d = p - i. Round d to one dp.
-0.3
Let n(p) = -12859*p + 13. Suppose h + 2*h - 15 = 0, 2*f - 2*h = 10. Suppose -i + f = d, -i - 4*d + 19 = -0*d. Let m be n(i). Round m to the nearest 100000.
-100000
Let f = -2038.59 - 181.71. What is f rounded to the nearest ten?
-2220
Let t = 1081855 - 1081854.9148559. Let l = t + -0.0851. What is l rounded to 6 dps?
0.000044
Let f = -39243 + 39246.21465. Round f to 1 decimal place.
3.2
Let u(b) be the first derivative of -1795*b**2/2 - 135*b - 61. Let c be u(9). What is c rounded to the nearest 1000?
-16000
Let q = 303 - 337.5. Let m = q + 34.50000029. What is m rounded to 6 decimal places?
0
Let b(d) = -d**3 + 16*d**2 - 13*d - 131. Let o be b(15). Let w be (o + 1)/(35/(-21210)). What is w rounded to the nearest 1000?
61000
Let g = -9679 + 9639.63. Round g to zero decimal places.
-39
Let a = 332 + -330. Suppose -3*q - 37480 = b + 3*b, -18740 = a*b + 2*q. What is b rounded to the nearest 1000?
-9000
Let x = 0.346 + 7.403. Round x to one dp.
7.7
Let b = 29891817.99938 - 29892115. Let h = 297 + b. What is h rounded to four decimal places?
-0.0006
Let k = -4725.277 + 4728. Let f = k + -0.333. What is f rounded to 1 dp?
2.4
Let x = 2.4 - 67.4. Let b = -181 - x. Let n = 115.99839 + b. What is n rounded to four dps?
-0.0016
Let x = 433.705 - -78.625. What is x rounded to the nearest 100?
500
Let a = -668 + 643. Let x = -24.9435 - a. Round x to 3 decimal places.
0.057
Suppose -303002326 = -30*s - 37961326. What is s rounded to the nearest 100000?
8800000
Let y = -1103 + -1621. Round y to the nearest 1000.
-3000
Let u = -195 + 90. Let o = u + 112.6. Let t = o - 7.49. What is t rounded to 1 dp?
0.1
Let g = 1795.367 - 1780.4. Let o = -15 + g. What is o rounded to 2 decimal places?
-0.03
Let s(y) = -y**3 - 9*y**2 - 16*y - 14. Let l be s(-7). Let r be (l + -5)*(-1143 - (7 - 4)). Round r to the nearest one thousand.
6000
Let v = -28.4 + 36.26. Let l = 7.859673 - v. What is l rounded to 5 dps?
-0.00033
Let q be -7 + 0 + 0 + -78 + 4684. Let z(m) = 1999*m**2. Let l be z(1). Let b = l - q. What is b rounded to the nearest 1000?
-3000
Let t = 267 - 254. Let l(x) = x + 11*x + 2*x**2 + 13 - 3*x**2. Let h be l(t). Round h to 1 decimal place.
0
Let y = 83861 + -83861.0000074794. What is y rounded to seven dps?
-0.0000075
Suppose 2*m - 56901032 = 3053212. Let g = 63677295 - m. Suppose -4*n - g = 50699827. Round n to the nearest 1000000.
-21000000
Let t be 988/104 + (-10)/4. Let d be t - -1239*(-39051)/27. Round d to the nearest one million.
-2000000
Let m(y) = -7 - 24*y + 29*y**2 + 23*y + 4*y**2. Let l be m(7). Let w = 803 - l. Round w to the nearest 1000.
-1000
Let y = 14.914 + -14.9026115. Round y to three dps.
0.011
Let x = 42230954697.999665 + -42231753154. Let o = -798454 - x. Let m = -2 + o. What is m rounded to four decimal places?
0.0003
Let l = -23.05 + 15.22. Let w = -8.592 - l. Round w to 2 dps.
-0.76
Suppose -3*y - 33236 = d, -5*y - 39475 = -4*d + 15941. Round y to the nearest 1000.
-11000
Let a = -226 + 267. Suppose -a*q = -4*q + 2053500. What is q rounded to the nearest 10000?
-60000
Let g = 2059.000005 + -2059. What is g rounded to seven decimal places?
0.000005
Let p = -1604 + 1604.0015688. What is p rounded to 4 dps?
0.0016
Let t = -0.55 - 1082.45. Let o = t + 1083.0005505. What is o rounded to five dps?
0.00055
Let d = -9550103 + 30946288. Let k = 14956185 - d. What is k rounded to the nearest 1000000?
-6000000
Let q = 34.3 + 18.7. Let x = 52.99999885 - q. Round x to seven decimal places.
-0.0000012
Let d = 366038799.956725 - 465569283.32871687. Let a = d - -99529968.372. Let x = -515 - a. Round x to 6 dps.
-0.000008
Let n = 1.06475 + 0.01565. Round n to the nearest integer.
1
Suppose -9*f + 235474 = -102530. Round f to the nearest 1000.
38000
Let s = -336 + 680. Let c = -28025600876.99999713 - -28025600533. Let a = s + c. Round a to seven dps.
0.0000029
Let c = -25.56938 - 0.08662. Round c to 1 dp.
-25.7
Let i be (135/(-10))/9*-40. Let j be (15/(-12))/((-1)/(-4)). Let m be ((-10825)/(-3))/j*i. What is m rounded to the nearest one thousand?
-43000
Let m = 46533.34 - 45540. Round m to the nearest 100.
1000
Let g(i) be the second derivative of 331*i**5/60 - i**3/6 - 4*i**2 + 6*i. Let n(y) be the first derivative of g(y). Let a be n(-1). Round a to the nearest 100.
300
Let i = -19.067767 + 19.076. Round i to 4 dps.
0.0082
Let v(b) = -5*b**3 + 89*b**2 - 83*b - 377. Let x be v(63). Round x to the nearest 10000.
-900000
Let i = -1795 + 2301.2. Round i to the nearest one thousand.
1000
Suppose -12 = y - 27. Let v be 9/y - (3 + 185/(-25)). Suppose q + 5*i = 244, 0 = -v*q + 3*i + 1275 - 111. What is q rounded to the nearest ten?
230
Let b be (2 - 5) + -3 - (-26 + 145). Let x(f) = 68*f + 1. Let l be x(-7). Let d = b - l. Round d to the nearest one hundred.
400
Let i = 0.346 - 0.345995742. What is i rounded to seven decimal places?
0.0000043
Let b = 46820 + -46820.039402. Let q = b + 0.0402. What is q rounded to four decimal places?
0.0008
Let c = 1558 + -1988. Let u = -5758.9 + 6165. Let n = u + c. What is n rounded to the nearest ten?
-20
Let u = 123.82 + -76.225. What is u rounded to one decimal place?
47.6
Suppose -2*c + 23 = -k, 3*c + 2*k - 15 - 9 = 0. Suppose -1 = 3*f - c. Suppose -2*l = f*l. What is l rounded to two decimal places?
0
Let k = -239.0000002407 + 239. What is k rounded to seven decimal places?
-0.0000002
Let w(x) = -2*x**2 + 8*x - 10. Let f be w(2). Let a(b) = -2275*b + 12. Let g be a(f). Let l be g*(-878 + -1) + -2. Round l to the nearest 1000000.
-4000000
Let n = -0.4177 + 0.441. Let l = 47.0767 + n. Round l to the nearest ten.
50
Let k = -250.72 - -250.731863. What is k rounded to four decimal places?
0.0119
Let z = 952 + -3744. Let r be (4 - 154)/1*z/12. Round r to the nearest 10000.
30000
Let z = 96637 - 96642.2071. What is z rounded to 1 dp?
-5.2
Let m = 0.068 - -7.932. Let q = m - 8.000337. What is q rounded to 4 decimal places?
-0.0003
Suppose -4*o + 77606 = -3*i, -4*i - 151950 + 48468 = 2*o. What is i rounded to the nearest 10000?
-30000
Let h(n) = 34*n**3 - 1343*n**2 - 53*n + 53. Let l be h(39). What is l rounded to the nearest 10000?
-30000
Let p = 0.525 + -0.095. Let d = p - 0.42999964. What is d rounded to 7 decimal places?
0.0000004
Suppose 2*t - 1172*u - 34360 = -1177*u, 0 = -2*t - 3*u + 34344. What is t rounded to the nearest 100000?
0
Let i = -0.5617 - -0.56164351. Round i to 6 dps.
-0.000056
Let n = 7580 - 7483. Let c = -25112626.999898 + 25112724. Let w = n - c. Round w to 5 dps.
-0.0001
Let g = 15495.000066145 + -15495. Round g to 7 decimal places.
0.0000661
Let h = 5.661 - 5.66102026. What is h rounded to 7 decimal places?
-0.0000203
Let j = 9423 - 9484.39. What is j rounded to 0 decimal places?
-61
Let f(m) = 109*m**3 + 5*m**2 + 6*m - 24. Let u be f(4). Let c = 10056 - u. What is c rounded to the nearest one hundred?
3000
Let t = -97193025.0102704 + 380390581.010286. Let f = t + -283197465. Let h = f - 91. What is h rounded to 6 decimal places?
0.000016
Let l = -292134 | {
"pile_set_name": "DM Mathematics"
} |
3 dps?
-0.011
Let t = -73925.26 - -73925.49000195. Let j = -0.23 + t. What is j rounded to 7 decimal places?
0.000002
Let z = -5334436 + 5599978.3. Let i = z - 265541.90000032. Let a = i + -0.4. Round a to 7 decimal places.
-0.0000003
Let k be (0 + -1)/((-3)/(-6)). Let z be k*(-2 - (0 + 0)). Suppose 20 = z*f, -3*v - 2400005 = -4*v - f. What is v rounded to the nearest one million?
2000000
Let n = 16738 - 16768.068. Let b = n - -0.068. Let r = b - -30.0000038. Round r to six dps.
0.000004
Let v = 4501.42 - 4551. Let m = v - -50. Round m to one decimal place.
0.4
Let t = 58 - 58.00084. What is t rounded to 4 dps?
-0.0008
Let j = -3.30000066 + 3.3. Round j to 7 decimal places.
-0.0000007
Suppose 0 = -4*l - l + 25, 3*l + 10039985 = -4*n. What is n rounded to the nearest 100000?
-2500000
Let z(s) = -4*s**2 + 3*s**2 + 200000*s**3 + 1 + 0*s**2. Let f = -40 - -39. Let u be z(f). What is u rounded to the nearest 1000000?
0
Let b(k) = -2*k**3 - 2*k**2 - k + 2. Let q be b(-2). Let r be (-3)/(q/(-272000))*1. Round r to the nearest 10000.
70000
Let d = 247 - 242.96. Let x = 0.04 - d. Let b = x - -3.999985. Round b to five decimal places.
-0.00002
Let h(q) = -4*q**3 - 6*q**2 + 5*q + 5. Let d be h(5). What is d rounded to the nearest 100?
-600
Suppose g + 5*a + 65 = 0, 3*g + 2*a = -2*a - 162. Let r(v) = -4*v**3 - v**2 + 2*v - 2. Let u be r(-3). Let m = u + g. Round m to the nearest 10.
40
Let c = 23 - 20. Suppose 1250000 = c*d - 2*d. What is d rounded to the nearest one hundred thousand?
1300000
Let j = 6.7 - -48.3. Let h = 9460.67 - 9515. Let a = j + h. Round a to one dp.
0.7
Let p = 0.0463 - -2.4417. Let i = -2.6 + p. Let t = i - -0.11200051. What is t rounded to seven dps?
0.0000005
Suppose 18*w - 23*w - 5500 = 0. Round w to the nearest one thousand.
-1000
Let v = -13 - -39. Let k = -62.18606 + 36.18665. Let b = k + v. What is b rounded to 4 decimal places?
0.0006
Let p = -7 + 30. Let l = 22.908 - p. What is l rounded to two decimal places?
-0.09
Let y = -15307.921 - -7.921. Let g = y + 15299.82026. Let z = 0.18 + g. What is z rounded to four dps?
0.0003
Suppose 2*h + 5 = 3*h. Suppose h*x + 3499990 = -5*v, 4*v = 3*x + 9*v + 2099990. Round x to the nearest one hundred thousand.
-700000
Let s = 68.938 + -69. Let m = s + 0.0539. What is m rounded to three dps?
-0.008
Let b = -139.370613 - -219.370734. Let o = -245 + 165. Let k = b + o. What is k rounded to five dps?
0.00012
Suppose 0 = -4*a + 2*a + 714. Round a to the nearest ten.
360
Let d = 848695 + -416695. What is d rounded to the nearest ten thousand?
430000
Suppose 7*l = 4*l + 6. Let y be (2/(-4))/(l/(-8)). Suppose -5*i = -y*a + 39990, -4*a + 4*i + 98225 = 18233. Round a to the nearest one hundred thousand.
0
Let t = 0.465383 - 0.465. What is t rounded to four dps?
0.0004
Let f = 43.00000136 - 43. What is f rounded to seven dps?
0.0000014
Let u = -117.9 + -22.1. Let t = -140.0000069 - u. What is t rounded to 6 dps?
-0.000007
Let z = 15879 - 15905.989. Let j = -27 - z. What is j rounded to two dps?
-0.01
Let b(c) be the third derivative of 4097*c**5/15 - c**4/6 + 4*c**3/3 + c**2. Let m be b(-6). Round m to the nearest one hundred thousand.
600000
Let k = -57.99999899 - -58. What is k rounded to 6 dps?
0.000001
Let x be ((-209035)/2)/5*2. Let c = x - -29470. Let k = 22137 + c. What is k rounded to the nearest one thousand?
10000
Let b = 76.039 - 76. Let i = b + 5.161. What is i rounded to the nearest integer?
5
Suppose 5*q - 2*u + 722 = -161, -5*q = -u + 884. Let l = -264 - q. What is l rounded to the nearest 10?
-90
Let w(o) = -2*o - 3. Let r be w(-4). Suppose 5*j - v = -3*v + 416, r*j - 3*v - 401 = 0. What is j rounded to the nearest 10?
80
Let c be 500*(-1)/(-3)*114/4. What is c rounded to the nearest 1000?
5000
Suppose 2*z - 45510 = -5*d, -2*d - z + 3815 = -14390. What is d rounded to the nearest one thousand?
9000
Let n = -11 + 31. Let d = n + -20.18. Let x = 8.68 + d. Round x to 0 decimal places.
9
Let r = -8491 + 17891. Let q be (9/(-3))/((-3)/r). Round q to the nearest 1000.
9000
Suppose 5*x - 3516346 = 1133654. Suppose -2*b = 2*l + 620000, 3*b + 3*l = 4*l - x. What is b rounded to the nearest one hundred thousand?
-300000
Let d = 12.854 + -0.054. Round d to the nearest integer.
13
Suppose -a = -y + 2682, -5*y + 10*a = 14*a - 13392. What is y rounded to the nearest 100?
2700
Let r = 11053.7169941 + -11053.8. Let f = 0.083 + r. What is f rounded to 6 decimal places?
-0.000006
Let h = -0.009 - -136.009. Let x = 55903826.3 - 55903962.2999858. Let t = h + x. What is t rounded to 6 dps?
0.000014
Let v = 9.16 - 9. Let t = -19.42 - -19. Let g = t + v. Round g to 1 dp.
-0.3
Suppose 0*k - 2*l - 66999996 = 2*k, -3*k - 100499990 = 5*l. Round k to the nearest one million.
-34000000
Let r = 1.03 - 0.431. What is r rounded to one decimal place?
0.6
Let j = 0.255 - 0.43. Round j to 2 decimal places.
-0.18
Let r = -11.5 - 0.5. Let d = 12.02 + r. What is d rounded to 1 dp?
0
Let g = 581206 + -121206. What is g rounded to the nearest one hundred thousand?
500000
Suppose 0 = -4*k - 4, -3*j + 4*k - 2396 = -6*j. Round j to the nearest 100.
800
Let b = -18 + 17.9999971. What is b rounded to 6 decimal places?
-0.000003
Let b = 42.0064 - 42. Round b to 3 decimal places.
0.006
Let i = 1.4 - 0.4. Let r = -0.5 + i. Let t = -0.4999 + r. What is t rounded to three decimal places?
0
Let r = -1 - -1.25. Let x = -0.85 - r. Let p = 1.1 - x. What is p rounded to the nearest integer?
2
Let q = -275 + 202.9. Let a = q - -68. Round a to zero decimal places.
-4
Let h be (-9)/12 + (-6)/(-8). Suppose -b + 139 = -h*b. Round b to the nearest ten.
140
Let a = 0.13 + -0.129944. What is a rounded to five decimal places?
0.00006
Let k(r) = 118433*r - 2. Let s be k(-6). Suppose -14*o + 18*o + 5722400 = 0. Let z = s - o. Round z to the nearest 100000.
700000
Let d = -533811294 - -534038931.233. Let t = d - 227796.2330063. Let m = -159 - t. Round m to six decimal places.
0.000006
Let b = 2 - 4. Let q be (-14)/b - (-2 + 4). Suppose -n = -r - 479, 0 = q*n + 4*r - 251 - 2153. Round n to the nearest one hundred.
500
Let b = -5 - -4.2. Let t = b - -0.80062. Round t to 4 decimal places.
0.0006
Let y = -51.7786 - 0.1214. Let l = y + 31. What is l rounded to the nearest integer?
-21
Let i = -22.9000119 + 22.9. Round i to six decimal places.
-0.000012
Let b = 2.2 - -8.8. Let v = b + -11.001. What is v rounded to 3 dps?
-0.001
Let x = 0.3 + -0.8. Let c = 1 + x. Let w = c + -0.531. Round w to 2 dps.
-0.03
Let i(l) = -3*l + 4*l - 2*l + 6 - 6199*l**2. Let p(w) = 12398*w**2 + 2*w - 13. Let y(b) = -13*i(b) - 6*p(b). Let m be y(1). Round m to the nearest one thousand.
6000
Suppose -l + 3 = 2*l. Let p(m) = 2224*m. Let n(h) = h. Let k(w) = -280*n(w) - 5*p(w). Let g be k(l). Round g to the nearest 1000.
-11000
Let d = -467.767 - -468. Round d to 2 dps.
0.23
Let y = -2834324 - -7969096. Suppose -a - y = 5649667. Let o = a - -28384439. What is o rounded to the nearest one million?
18000000
Let l(r) = -r**3 - r**2 - r - 44. Let q be l(0). Let y = -140 - q. Let w be y/10 + 4/(-10). Round w to the nearest 10.
-10
Let o be (-1)/4 - 183389/(-4). Let y = -19900 + o. Let l = -2947 + y. Round l to the nearest 10000.
20000
Let s be 1292242615/20 + 2/8. Let r = s + -39407740. Let g = 13204391 - r. Round g to the nearest 1000000.
-12000000
Suppose -4*d = -2*d - 1140. Round d to the nearest 100.
600
Let u = 0.2036 + -2.3706. Let j = u + 1.57. Let q = 0.6 + j. Round q to two decimal places.
0
Let g = -1.799992 + 1.8. What is g rounded to 6 dps?
0.000008
Let c = 0.046 + -1.196. What is c rounded to one dp?
-1.2
Let n = -27856459.29999984 + 27856457. Let j = n + 2.3. What is j rounded to seven decimal places?
0.0000002
Let b = 20.7865 - 0.2565. Let l = b + -21. Let m = l + 0.5. What is m rounded to two decimal places?
0.03
Suppose -2*r - 2*b - 2724517 = -20524509, 3*r + 2*b - 26699992 = 0. What is r rounded to the nearest one million?
9000000
Let x = 3.327 - 3.356999. Let v = -0.03 - x. Round v to 5 dps.
0
Let f(v) = -140*v**2 - 6*v + 3. Let c be f(-10). Let r(x) = -1343*x - 5. Let q be r(6). Let o = q + c. What is o rounded to the nearest 10000?
-20000
Suppose -p - 13 = -5*v + p, -v = -p - 2. Let l(a) = 160*a**3 - 3*a**2 + 3*a - 2. Let w be l(v). Round w to the nearest one | {
"pile_set_name": "DM Mathematics"
} |
). What is the highest common divisor of o and m?
1
Let m(c) = -55*c + 2437. Let k be m(43). Calculate the greatest common factor of 2718 and k.
18
Let h = -1018 + 1060. Calculate the greatest common divisor of 17052 and h.
42
Let w be 1 + 1 + (-100 - 4/(-2)). Let h be -19 + 0/(-3 - -1). Let d = h - w. Calculate the greatest common divisor of 11 and d.
11
Let l = -132 - -166. Let y be 1433/6 + (-5)/6. Calculate the greatest common divisor of y and l.
34
Let g(u) = 477*u**2 - 117*u + 14. Let f be g(4). Calculate the greatest common factor of f and 970.
194
Let b = -36464 - -36948. Calculate the highest common factor of b and 1100.
44
Suppose -40*a + 2460 = 86*a - 85*a. Calculate the greatest common divisor of a and 2865.
15
Suppose -z + 4 = 3*r - 2*z, 8 = r + z. Suppose 0 = -6*w + 1958 - 308. Let s = 302 - w. What is the greatest common divisor of r and s?
3
Let c = 36 - -19. Let d = 225 + c. Suppose -4*n + 8*n = d. Calculate the highest common factor of n and 14.
14
Let n(o) = 3*o**3 - 16*o**2 - 11*o + 16. Let b be n(6). Let a = -129 + 195. Let k be (-4)/6*a/(-2). What is the greatest common divisor of k and b?
22
Suppose 7 = 5*p - 13. Suppose 3*s + 419 = 4*j, 0 = p*j - 2*s - 3*s - 421. Let x = -8960 - -8986. Calculate the highest common divisor of j and x.
26
Let s be (221/(-39) + -5)*((-3)/(-4))/(-1). What is the greatest common factor of 2080 and s?
8
Let r = -94 - -96. Suppose r*u - f - 106 = 0, -2*u + f - 5*f = -106. What is the greatest common factor of u and 212?
53
Let i(u) = 5*u**2 + 4*u - 3. Let g be i(-5). Let v = -108682 + 109039. Calculate the highest common factor of v and g.
51
Let h = 65 + -134. Let q = -309 - h. Let i be ((-2)/(-4))/((-3)/q). Calculate the greatest common factor of i and 5.
5
Let a = 10 + -16. Let n = 34 + a. Suppose 0 = 203*v - 204*v + 7. Calculate the highest common factor of n and v.
7
Suppose 8 + 3 = 9*w - 25. Let d be 94/(-2 + 15/6). What is the highest common factor of d and w?
4
Suppose -5664 = -5*a - 1099. Suppose -l = 5, 2*u - l - a = -62. Calculate the greatest common divisor of 47 and u.
47
Suppose 5*v - 8 = -p, 4 = -4*v + 4*p - 4. Suppose -5*l + 25 = 0, -l = 5*g - 3*l - 10. What is the highest common factor of v and g?
1
Let x be (-9 + 8 - -9)*9. Calculate the greatest common divisor of x and 450.
18
Let u be 9/(-2) - 65/26 - 112. Let h = 233 + -440. Let j = u - h. Calculate the greatest common divisor of 8 and j.
8
Let d(f) = -176*f**2 - 3*f**3 - 24*f + 154*f**2 + 2*f**3 - 25. Let u be d(-21). What is the highest common factor of 38 and u?
38
Let b = 5084 + -5061. What is the highest common divisor of 1909 and b?
23
Suppose 0 = 28*v - 25*v - 888. Let c = v - 626. Let m = c - -554. What is the greatest common divisor of 32 and m?
32
Let p(d) = 3*d**3 + d**2 - d. Let m be p(1). Suppose -244 = -49*f + 50. Suppose f*r - 33 = m*r. Calculate the highest common factor of 88 and r.
11
Let z be (-1376)/(-136) + -10 + (-34266)/(-51). Calculate the highest common factor of z and 1248.
96
Let h be (-60)/4*7155/(-57) - (-2)/19. Calculate the highest common divisor of h and 28.
7
Suppose s + 4*n - 20 = 0, -4*n + 12 = -n. Suppose -6*y + 910 = s*y. Calculate the greatest common factor of 39 and y.
13
Suppose -v = 3*y - 1439 + 487, -3*v + 623 = 2*y. What is the greatest common divisor of 77 and y?
11
Let o = -67 - -85. Suppose 16*d - o*d = -16. What is the greatest common factor of d and 6?
2
Let i(u) = 3*u**2 - 12*u + 53. Let p = 194 + -182. Let z be i(p). Calculate the highest common divisor of 11 and z.
11
Suppose 0 = -2*i - 0*i + 194. Let w = i + -58. Let l = 9121 - 9069. What is the highest common divisor of l and w?
13
Suppose -3*b + 6*b + 4*h - 950 = 0, 1252 = 4*b - 2*h. Let g = -171 + b. What is the greatest common divisor of g and 13?
13
Let s be 12 + 1932/14 + -2. Let l(k) = -k**3 - 15*k**2 - 6*k + 21. Let g be l(-15). Calculate the highest common factor of g and s.
37
Suppose 74*c - 152*c + 855 = 93*c. Calculate the greatest common divisor of 895 and c.
5
Let c be 6/(202/198 + -1). Suppose f = 5 - 3. Suppose 3*b = f*q + 10 - 70, -139 = -5*q + 2*b. What is the highest common factor of c and q?
27
Let q(i) = -i**2 - 102*i - 637. Let j be q(-7). Let l(n) = -n**3 - 2*n**2 - 9*n. Let x be l(-7). Calculate the greatest common factor of x and j.
28
Let o(b) = 36*b**3 - 60*b**2 + 56*b + 3. Let h be o(1). What is the greatest common divisor of h and 3745?
35
Suppose -7*l - 1883 = -1904. Suppose 12*v - 17*v - 187 = -l*m, -5*m - 3*v = -255. Calculate the greatest common factor of m and 189.
27
Suppose -2*q - 8 = -4*g + 8, 3*q + 6 = -3*g. Let l be -4*(-3312)/22 - g/11. Calculate the highest common divisor of l and 14.
14
Let b(r) = r**3 + 12*r**2 + 11*r + 10. Let y be b(-11). Suppose 71*x = 62*x + 8640. What is the greatest common divisor of x and y?
10
Let q be 41/((-2)/(-18) - 0). Let z = 1742 - 1075. Suppose -17*r + 30 = -z. Calculate the highest common divisor of r and q.
41
Let w(k) = -k**3 + 5*k**2 + 4*k - 7. Let r be w(5). Let i = 16 + -15. What is the highest common divisor of i and r?
1
Suppose 5*r - 427 = 4*t + 1649, -4*r + 4*t = -1660. Let o = r - 386. What is the greatest common divisor of 110 and o?
10
Let o = 6 - 4. Suppose -o*q = -17 - 15. Suppose 6*l - 8*l + c = -8, 2*c = -4*l + 16. What is the highest common factor of q and l?
4
Let f = -327 + 535. Let r be 1/(-3)*(-8 - 40). What is the greatest common divisor of r and f?
16
Let l be 3*(-1)/3*(-584 - -6). Suppose 5 = 2*w - 29. Calculate the highest common factor of w and l.
17
Let x(s) = -s**3 - 9*s**2 - s + 3. Let i be x(-6). Suppose 19*p = 669 - 3785. Let m = i - p. What is the highest common divisor of 13 and m?
13
Suppose 0 = 4*b - 7 - 41. Let c be (25 - 1)*(-110)/(-40). Calculate the highest common factor of b and c.
6
Let n be (-91)/39*(0 - -3). Let q(p) = -5*p + 20. Let h be q(n). Calculate the highest common factor of h and 495.
55
Let c be (-9 - (-145)/15)*498/4. Suppose -197 = 3*h + 4*n, -3*h + 2*h - 4*n - 79 = 0. Let s = c + h. What is the highest common divisor of 16 and s?
8
Suppose -50*c = -48*c + 222. Let q = -69 - c. Let z(d) = -d**2 + 6*d + 6. Let t be z(6). Calculate the highest common factor of t and q.
6
Suppose -4*o = 3*n - 25, 18 = 3*n + 9. Let g be (504/10)/o - (-14)/35. Let b = 3 + -2. Calculate the highest common factor of b and g.
1
Suppose y - 2*y + 85 = 2*p, -5*y = 5*p - 205. Suppose -4*n + p = -2*o - 52, 0 = 2*o + 8. Let a = 49 - n. Calculate the highest common factor of a and 9.
9
Let k be 26 - 25 - (-2429)/7. Calculate the greatest common divisor of k and 36.
12
Let r(p) = -9*p - 31. Let i be r(19). Suppose -2*c = -3*c - 11. Let n be c/(594/12) + i/(-18). What is the greatest common divisor of n and 88?
11
Suppose -30*b = 7181 + 7219. Let c = -285 - b. What is the highest common divisor of 39 and c?
39
Suppose 34391*a - 34394*a + 18 = 0. What is the highest common divisor of a and 13644?
6
Let q = 2374 - 2198. What is the greatest common divisor of 4136 and q?
88
Suppose -13*s = -30*s + 51. Suppose s*t - t = 2*c + 18, -5*c = -4*t + 37. Calculate the highest common divisor of t and 56.
8
Suppose -27*i = -2297 - 4183. Suppose -86*u - 5*f = -83*u - 2, 0 = -2*u + 4*f + 16. What is the greatest common divisor of i and u?
4
Let v(j) = 98*j**2 + 6*j + 2. Let a be v(-1). What is the highest common divisor of a and 611?
47
Suppose -17*u + 51*u - 26*u - 4736 = 0. Calculate the greatest common divisor of 1168 and u.
16
Let o(q) = -2*q**3 + 34*q**2 - 100*q - 14. Let p be o(13). What is the highest common divisor of 13661 and p?
19
Suppose -3*d + 6028 = -5*g - 5015, 0 = d + 2*g - 3692. Suppose 20*l = -6 + d. Calculate the greatest common divisor of l and 230.
46
Let l be -6*36/27 + 24 - 6. What is the highest common factor of 135 and l?
5
Let n be 51 - 14/84*-1*-18. Suppose x = -3*m - 2*m + 1356, -4*m + x = -1092. Calculate the highest common factor of m and n.
16
Suppose -14*k - 27*k + 574 = 0. What is the highest common factor of k and 1158?
2
Let m be (-4 - -3)*396/4. Let f = m + 105. Calculate the highest common divisor of f and 14.
2
Suppose -y + 5*p = -59, 2*y - 2*p - 69 = -7. Calculate the highest common divisor of y and 366.
6
Suppose -a - 192 = -5*a. Let x(f) = -f**3 + 9*f**2 - 4*f - 14. Let k be x(10). Let y = 160 + | {
"pile_set_name": "DM Mathematics"
} |
))*-3)/sqrt(8))**2.
1584
Simplify sqrt(1872) + -1 + -2 + 1.
-2 + 12*sqrt(13)
Simplify sqrt(12)/(2*sqrt(4))*-2.
-sqrt(3)
Simplify (sqrt(190) - sqrt(190)*2)/sqrt(10)*1.
-sqrt(19)
Simplify (6*(sqrt(10)/(sqrt(5)*-3) + sqrt(2) - sqrt(6)/sqrt(3)*6))**2.
2048
Simplify (sqrt(96)*-5)/(sqrt(2)*-1*4).
5*sqrt(3)
Simplify sqrt(50) + (sqrt(50) + -1)*-3.
-10*sqrt(2) + 3
Simplify (-2 + 3 + 3*sqrt(57)/sqrt(3) + -4)**2.
-18*sqrt(19) + 180
Simplify (sqrt(17) - (-2 + sqrt(17) + sqrt(17))**2) + -3 + 4.
-71 + 9*sqrt(17)
Simplify (sqrt(60)/sqrt(3) + 2)**2.
8*sqrt(5) + 24
Simplify (2*sqrt(22))/sqrt(2) + 3.
3 + 2*sqrt(11)
Simplify 5 + (-1 + sqrt(176))**2 + 2.
-8*sqrt(11) + 184
Simplify (((-1*sqrt(196) + sqrt(196))/sqrt(4))/sqrt(7))**2 - (sqrt(147)/(1*sqrt(3)))/sqrt(7).
-sqrt(7)
Simplify (sqrt(240)/sqrt(5))**2*-2.
-96
Simplify (-3 + sqrt(1216)*1)**2 + sqrt(209)/(sqrt(11) + sqrt(11) + sqrt(77)/(1*sqrt(7))).
-143*sqrt(19)/3 + 1225
Simplify (sqrt(44) - 1*sqrt(44))/sqrt(4)*-6.
0
Simplify -6*1*sqrt(17) - 4*sqrt(272).
-22*sqrt(17)
Simplify 2*((-1 + sqrt(19))**2 + 4).
-4*sqrt(19) + 48
Simplify -2 + (sqrt(56) + sqrt(560)/(sqrt(10)*2))/sqrt(8).
-2 + 3*sqrt(7)/2
Simplify ((sqrt(475) - (0 + sqrt(475)))*2)**2.
0
Simplify -3*sqrt(245) + 3 + sqrt(40)/sqrt(8).
-20*sqrt(5) + 3
Simplify -1*(sqrt(5) + 0) + sqrt(55)/(sqrt(11)*1).
0
Simplify sqrt(7)*4 + -1 - (-3 + sqrt(28)/sqrt(4)).
2 + 3*sqrt(7)
Simplify -1*(3 + -1*sqrt(1900)).
-3 + 10*sqrt(19)
Simplify 3*1*((sqrt(102)/sqrt(2))/sqrt(3))**2.
51
Simplify (2*(3 + (0 + sqrt(19) - sqrt(19))))**2.
36
Simplify sqrt(135)/sqrt(5) + 5.
5 + 3*sqrt(3)
Simplify (2*sqrt(3)*-5*-2 - (sqrt(3) + sqrt(36)/(sqrt(36)/sqrt(3)) - sqrt(363)*2))**2.
4800
Simplify (2 + -1 + sqrt(833) + 3)**2 + -1.
56*sqrt(17) + 848
Simplify (sqrt(171) - (-4*((sqrt(171) - ((sqrt(171) - sqrt(171)*-4) + sqrt(171))) + sqrt(171)) - sqrt(171)))/sqrt(9).
-14*sqrt(19)
Simplify (3*((sqrt(17)*1 - sqrt(17) - sqrt(17)) + -2)*1)**2.
36*sqrt(17) + 189
Simplify (3*sqrt(520)*-2)/sqrt(10).
-12*sqrt(13)
Simplify (sqrt(114)/(sqrt(6) + sqrt(6) + sqrt(54)/sqrt(9)))**2 - (sqrt(304)*1)**2.
-2717/9
Simplify ((sqrt(7) - sqrt(63))*4 - (sqrt(7) + sqrt(7) + 1 + sqrt(175)))**2 - (-2 + sqrt(7) + sqrt(7)*-2)**2*5.
10*sqrt(7) + 1521
Simplify (sqrt(336) - sqrt(21))/sqrt(3) - (((sqrt(14)*4)/sqrt(2))**2 + sqrt(7)).
-112 + 2*sqrt(7)
Simplify (sqrt(171)/(sqrt(9)*-3) + -5)**2.
10*sqrt(19)/3 + 244/9
Simplify ((sqrt(17) + sqrt(68)/sqrt(4)*-5)*-6)**2.
9792
Simplify ((sqrt(175)/sqrt(5))/sqrt(7) + 0)**2.
5
Simplify (0 + sqrt(832) + 1 + -3)**2.
-32*sqrt(13) + 836
Simplify (3 + 1*sqrt(171) - (2 + sqrt(171) + 5))**2.
16
Simplify (2*-2*sqrt(117))/(sqrt(81)/sqrt(144)).
-16*sqrt(13)
Simplify sqrt(72)/(sqrt(6) - sqrt(96))*-4.
8*sqrt(3)/3
Simplify (sqrt(77)/((sqrt(63)*1)/sqrt(9)))**2.
11
Simplify -4 + (-1*sqrt(243))**2 + sqrt(243).
9*sqrt(3) + 239
Simplify 0 + sqrt(50) + 2 - (sqrt(2) + -1 - sqrt(2))*1*-2.
5*sqrt(2)
Simplify (sqrt(3)*-1 + -4)**2 + (sqrt(363)*1)**2 - sqrt(24)/(sqrt(800)*2).
159*sqrt(3)/20 + 382
Simplify -1*(1 + sqrt(175)).
-5*sqrt(7) - 1
Simplify sqrt(190)/(sqrt(40)/sqrt(4)*-1)*-6.
6*sqrt(19)
Simplify (sqrt(768) + -4)**2 - sqrt(36)/(sqrt(12) - -2*sqrt(588)).
-1921*sqrt(3)/15 + 784
Simplify sqrt(65)/(sqrt(180)*-6).
-sqrt(13)/36
Simplify sqrt(22)/((sqrt(10) - sqrt(20)/sqrt(2))/sqrt(5) - sqrt(2)).
-sqrt(11)
Simplify -5 + 3 + 0 + 2 + sqrt(19).
sqrt(19)
Simplify ((6*(2*sqrt(65) + sqrt(65)))/sqrt(180))**2.
117
Simplify ((-3*(1 + sqrt(567)) - sqrt(567) - ((-6*1*sqrt(567) - sqrt(567)) + sqrt(567))) + 4)**2.
36*sqrt(7) + 2269
Simplify ((sqrt(15)*-1)/sqrt(3))**2 + sqrt(5) - (sqrt(5) - (sqrt(5) + 1 + sqrt(5))*5)**2.
-425 - 89*sqrt(5)
Simplify -3 + (-3 + sqrt(7) + sqrt(7) + 1 + sqrt(7))**2.
-12*sqrt(7) + 64
Simplify (-3*2*(-3 + sqrt(187)/sqrt(11) - sqrt(17)))**2.
324
Simplify (4 + sqrt(228)/sqrt(3) + (sqrt(684) - -1*sqrt(684)))**2*4.
448*sqrt(19) + 14960
Simplify sqrt(27)/sqrt(36) - (6*sqrt(6)/sqrt(2))**2.
-108 + sqrt(3)/2
Simplify sqrt(63)/(-1*-2*sqrt(9)).
sqrt(7)/2
Simplify 3*sqrt(11)*1*-3.
-9*sqrt(11)
Simplify (sqrt(30)/sqrt(6)*2 + (sqrt(5) - (sqrt(320) + (sqrt(320) - sqrt(320)*1))))**2.
125
Simplify (sqrt(1300)*-1)**2 - -1*(-1 + sqrt(13)).
sqrt(13) + 1299
Simplify (sqrt(1008) + 0 + sqrt(1008) + sqrt(1008) - (sqrt(7) - ((sqrt(7)*2)**2 + -5 + sqrt(7) + sqrt(7)))) + -3.
20 + 37*sqrt(7)
Simplify (5*3*sqrt(425) - ((-2 + sqrt(425))*1 - sqrt(425)))**2.
300*sqrt(17) + 95629
Simplify (sqrt(48))**2 + (4*sqrt(15)/sqrt(5))**2.
96
Simplify (0 + sqrt(396) + -1)**2 + -2 + sqrt(396) + -1.
-6*sqrt(11) + 394
Simplify (-2*(sqrt(9072)*-1 + -4))**2.
1152*sqrt(7) + 36352
Simplify sqrt(240)/sqrt(5) + sqrt(108)*1.
10*sqrt(3)
Simplify -2 + 1 + sqrt(5) + sqrt(5) + -1.
-2 + 2*sqrt(5)
Simplify (((sqrt(171) - (sqrt(171) - sqrt(171)*1*6)) + sqrt(171))/sqrt(9))**2.
931
Simplify sqrt(2057)*3 + 1 + -1.
33*sqrt(17)
Simplify -6*(sqrt(14) + sqrt(14) + sqrt(14) + (sqrt(84)/sqrt(2))/sqrt(3))/sqrt(7).
-24*sqrt(2)
Simplify sqrt(9)/(sqrt(9)/sqrt(3))*5.
5*sqrt(3)
Simplify sqrt(38)/(sqrt(8)/(sqrt(16)/sqrt(4))).
sqrt(19)
Simplify sqrt(35)/sqrt(5)*-6 + 2.
-6*sqrt(7) + 2
Simplify (sqrt(1331)*1 + sqrt(1331))*-6.
-132*sqrt(11)
Simplify (-6*(sqrt(304) + 0 + sqrt(304)))**2.
43776
Simplify (6*(-2*sqrt(228) + sqrt(228)) + sqrt(228))/(sqrt(36)/sqrt(27)).
-15*sqrt(19)
Simplify (sqrt(363)*2 + sqrt(363) + -1)*5.
-5 + 165*sqrt(3)
Simplify (0 + sqrt(720) + 1 + sqrt(980))**2.
52*sqrt(5) + 3381
Simplify -4*(-1 + sqrt(1872) + sqrt(208)/sqrt(4)*-3).
-24*sqrt(13) + 4
Simplify (5 + (sqrt(162) - (sqrt(162)*3 + sqrt(162))))**2.
-270*sqrt(2) + 1483
Simplify (-5*(sqrt(117) - sqrt(117)*-2))/(sqrt(36)/(sqrt(4)*2)).
-30*sqrt(13)
Simplify -1*(sqrt(102) - (sqrt(102) - 2*sqrt(102)*-1 - sqrt(102)))/sqrt(6).
sqrt(17)
Simplify (sqrt(117) + 2)*2.
4 + 6*sqrt(13)
Simplify (sqrt(1216)*-1 + -2)**2.
32*sqrt(19) + 1220
Simplify ((sqrt(462)*-1)/sqrt(11) - sqrt(42))/sqrt(6)*2.
-4*sqrt(7)
Simplify -1*(1*sqrt(76))/sqrt(4).
-sqrt(19)
Simplify (sqrt(832) - (sqrt(832)*-5 + 5) - sqrt(832))**2.
-400*sqrt(13) + 20825
Simplify (sqrt(300)*-2*2)**2.
4800
Simplify ((sqrt(5) + sqrt(5) + sqrt(5) + sqrt(720))**2 - (-3*sqrt(25)/sqrt(5))**2)*2.
2160
Simplify 0 + -2*(sqrt(1216) + 0).
-16*sqrt(19)
Simplify (-1*(sqrt(252) + -2) + sqrt(252))**2.
4
Simplify -1 + sqrt(2299) + 1 + -3.
-3 + 11*sqrt(19)
Simplify (1 + (sqrt(3) - sqrt(300)) - (sqrt(3)*2 + 3))**2.
44*sqrt(3) + 367
Simplify (-2*sqrt(187)*1)/((2*sqrt(33))/sqrt(3)).
-sqrt(17)
Simplify -6*-2*-2*sqrt(13).
-24*sqrt(13)
Simplify (3*(sqrt(252) + sqrt(252)*2) + sqrt(252))**2.
25200
Simplify 1 + sqrt(12)/(sqrt(294)*-3).
-sqrt(2)/21 + 1
Simplify (3*sqrt(750))/sqrt(10).
15*sqrt(3)
Simplify 1*sqrt(684)*-5.
-30*sqrt(19)
Simplify (sqrt(110)*-2*-3)/(-2*sqrt(30)/sqrt(3)).
-3*sqrt(11)
Simplify (-4*sqrt(114)/sqrt(2) - sqrt(57))/(-1*sqrt(363)).
5*sqrt(19)/11
Simplify (sqrt(16)/(sqrt(72)*-6))**2.
1/162
Simplify (sqrt(6000) - sqrt(6000)*1)/(1*sqrt(108)).
0
Simplify ((sqrt(80) - (sqrt(80) + 4 + sqrt(80)))*-3)**2.
288*sqrt(5) + 864
Simplify (sqrt(78)/(sqrt(6) - (sqrt(486) - sqrt(6))))**2 + 5.
258/49
Simplify (sqrt(165)/(-2*sqrt(5)))/((sqrt(11) + sqrt(11)*1)*4).
-sqrt(3)/16
Simplify 1 + (6*-2*sqrt(1584) - sqrt(1584) - sqrt(1584)).
-168*sqrt(11) + 1
Simplify -3 + 4 + 0 + sqrt(288) + 1.
2 + 12*sqrt(2)
Simplify (-1 + sqrt(1216))**2*-2.
-2434 + 32*sqrt(19)
Simplify (sqrt(99) - 6*(sqrt(99)*1 + sqrt(99) + sqrt(99)))/((sqrt(108)/sqrt(3))/sqrt(4)).
-17*sqrt(11)
Simplify -2*(1 + (sqrt(5) - 4*sqrt(5))**2).
-92
Simplify 5*((-3*sqrt(216))/sqrt(9))/sqrt(12).
-15*sqrt(2)
Simplify 2*-4*((sqrt(931))**2 + 3).
-7472
Simplify 6*((sqrt(432)*-2*1)**2 - (sqrt(432) + (-2 + sqrt(432) + 1)**2)).
72*sqrt(3) + 7770
Simplify (sqrt(425) + sqrt(425)*-3*2)*6.
-150*sqrt(17)
Simplify -3*sqrt(70)/(sqrt(100)/(sqrt(10)*2 + sqrt(10)) - sqrt(10)).
9*sqrt(7)/2
Simplify (-5*sqrt(76)*2)/(sqrt(196)*-3).
10*sqrt(19)/21
Simplify (1*(sqrt(2736) + -2) + sqrt(2736) - sqrt(2736))**2.
-48*sqrt(19) + 2740
Simplify sqrt(1872) + sqrt(1872)*1 + 3.
3 + 24*sqrt(13)
Simplify sqrt(30)/(sqrt(10)*-2*5).
-sqrt(3)/10
Simplify sqrt(25)/sqrt(5) + 0 + -4.
-4 + sqrt(5)
Simplify sqrt(378)/sqrt(6) + (sqrt(21)/(sqrt(15)/sqrt(5)) + sqrt(7))**2.
3*sqrt(7) + 28
Simplify (sqrt(189) + sqrt(189)*-3)/(sqrt(363)*3).
-2*sqrt(7)/11
Simplify ((sqrt(170) + (sqrt(170) | {
"pile_set_name": "DM Mathematics"
} |
ultiple of c and p?
20
Suppose -2*c = 5*m - 4*c - 53, 61 = 5*m - 4*c. Let w = 41 - m. Suppose -6*o + 3*o = 2*p - w, o = -p + 14. Calculate the least common multiple of p and 14.
70
Let l be 26461/(-10) + (-3)/(-2). Let f = l + 211123/80. What is the common denominator of f and 1/2?
16
Let o = -9 + 29. Let i(b) = -4*b + 2. Let w = -4 - -1. Calculate the smallest common multiple of i(w) and o.
140
Suppose -4*w - 83 - 27 = -2*d, d = -w - 23. What is the common denominator of 1/(((-6)/w)/(-3)) and 91/4?
4
Suppose 2*x = -2*x - 132. What is the common denominator of (18 + 0)*44/x and -63/2?
2
Suppose 1 = -4*j + 61. Let f = -11 + j. Calculate the lowest common multiple of f and 5.
20
Let m = -50491/8 - -6321. What is the common denominator of -67/30 and m?
120
Let l(u) = -2*u. What is the lowest common multiple of 14 and l(-10)?
140
Suppose -4*r + 7 = -3*m - 19, 3*r - 15 = 0. Calculate the common denominator of -21/2 and 1 + m + 86/(-16).
8
Suppose -4*q - q + 40 = 0. What is the least common multiple of q and 6?
24
Suppose 4*d = 2*d + 44. Calculate the least common multiple of 3/3*20*1 and d.
220
Let f = 32 + -12. Calculate the smallest common multiple of 4 and f.
20
Let y = 82945/18 - 4610. What is the common denominator of y and (166/42)/(2/(-3))?
126
Let z(o) = 4*o - 12. Let p be z(5). Suppose 6 - 2 = a. Let y = p + a. Calculate the lowest common multiple of y and 16.
48
Let d = 43658/57 - 766. Calculate the common denominator of d and -19/36.
684
Suppose 5*g = g - 48. Calculate the common denominator of (22/g)/((-5)/75) and 27/4.
4
Let s(p) = 9*p + 1. Suppose 31 = l - 3*o + 5*o, -5*o - 125 = -5*l. Let x = -7 + l. What is the smallest common multiple of x and s(1)?
20
Suppose -5*l - 3*b = -22, 3*l + 2*b + 2*b - 22 = 0. Let s = l + -3. Find the common denominator of s/((-24)/(-87)) - 2 and 20/9.
72
What is the least common multiple of -5*(-1 - 9/(-15)) and 2/(21/(-24) - -1)?
16
Suppose 0*p + p = -d - 5, 0 = d - 5*p - 19. Let s = 1 - d. Find the common denominator of -41/4 and -2 + -23*s/(-8).
4
Let k = -5881/910 - 21/65. Let n = -11905186 + 238189267/20. Let j = n - 4275. Find the common denominator of k and j.
140
Suppose -2*d + 4*d = 24. Suppose 2*q - 5 = 4*a - 5*a, 2*q + 2*a = 4. What is the least common multiple of 1/(-3) + 43/q and d?
84
Let g = 6 - -16. Let n = -16 + g. Calculate the lowest common multiple of n and 5.
30
Let r be 2 + -1 + 63801639/(-30). Let t = 2131060 + r. Let i = t - 4347. Find the common denominator of -36 and i.
10
Let r = 267/70 + -68/7. Suppose 113 = -5*y + 43. Calculate the common denominator of 4/y + (-1532)/(-168) and r.
30
Suppose 2*c - 5*g = 4*c - 16, -4*c = -5*g - 32. Calculate the common denominator of (-1)/12*(-816)/(-9) and c/(-20) + (-894)/40.
36
Suppose 7*g = 6*g - 2. Let k = 16 - g. What is the lowest common multiple of 10 and k?
90
Suppose -4*x + 16 = -3*b, 0*x + 11 = -x - 3*b. Find the common denominator of 10/7*(-161)/12 and x + 303/(-60) + -2.
60
Let c(x) = 10*x**2 - x. Find the common denominator of -13/7 and c(-2).
7
What is the common denominator of (58/18)/(4/8) and (-2)/(-8) + 69/(-12)?
18
Let z(s) = -2*s - 4. Suppose -i = -13 - 1. Suppose -i = 4*l + 10. What is the lowest common multiple of z(l) and 6?
24
Let k be 844/(-16) + 1/(-4). Calculate the common denominator of -3 - k/(-4)*-2 and 37/18.
18
Let f = 7 + 11. Calculate the smallest common multiple of f and 8.
72
Let m be (-130)/28*7/126. Let r = m + 1/28. What is the common denominator of 15/4 and r?
36
Suppose 4*x + 46 = -62. Let i = x + 41. What is the lowest common multiple of i and 16?
112
Let m be -12 - (0 - (-3 + 3)). Let q be ((-4)/m)/(2/6). Let r(s) = 8*s + 1. Calculate the smallest common multiple of 3 and r(q).
9
Let g = -56/11 - -349/88. Calculate the common denominator of 3/7 and g.
56
Suppose 3*s = 4*g + 11, -4*s - 2*g - 2*g + 24 = 0. Suppose o + 4 = 2*j, -j = 3*j + s*o - 22. What is the lowest common multiple of 10 and j?
30
Let w = -21 - -29. What is the lowest common multiple of w and 20?
40
Suppose -4 = f + 5*k, -20 - 8 = -f + 3*k. Calculate the least common multiple of f and 8.
16
Let i(d) = d**3 - 3*d**2 + 2*d + 3. Let o = 6 - 10. What is the smallest common multiple of i(3) and (-69)/(-6) + 2/o?
99
Suppose -4*s + 11 = -s - k, 21 = 5*s + k. Calculate the lowest common multiple of 4 and s.
4
Let o = -4943/1071 + 60/119. Let t = -1144 + 8058/7. Calculate the common denominator of t and o.
63
Suppose 2*a + 3 = 1. Let q = 6 + -6. Calculate the smallest common multiple of q/a + -1 - -11 and 6.
30
Suppose 2*r = -4*o - 9 - 5, 2*o + 16 = 2*r. What is the least common multiple of 18 and r?
18
Let x be 1/(208/167) + -1. Let o = 1944463/1456 + x. Let t = o + -1330. Find the common denominator of t and 75/4.
28
Find the common denominator of 31/2 and (3/34)/((-6)/(-568)*4).
34
Suppose 0 = l - 3 + 1. Suppose 2*u + 6 = y, -2*u - 43 = -5*y - 5*u. What is the least common multiple of l and y?
8
Let p = -55 - -61. What is the least common multiple of 6 and p?
6
Let x = 252 - 1790/7. Suppose -2*v + 126 = 4*i, 2*v + 72 = 3*i - i. What is the common denominator of x and i?
7
Let m = 76691/10 + -7681. Let y = 3 - 2. Calculate the common denominator of 2/4*y - 27 and m.
10
Let i = 1 - -1. Suppose 0*o - 26 = i*o. Calculate the common denominator of o and -47/9.
9
Let k(z) = -7*z**2 + z + 4*z**2 - 8 + 12*z**2 - z**3. Calculate the smallest common multiple of k(9) and 8.
8
Suppose 5*x + 76 = 4*r + x, 4*r - 77 = 3*x. Let z(m) = 16*m. Calculate the least common multiple of z(1) and r.
80
Let a = 204125/22 + -9274. What is the common denominator of ((-275)/(-22) + -9)/(32/14) and a?
352
Suppose 7*n - 64 = 34. Suppose j = 2, -b - j + 10 = 3*b. Suppose 0 = -3*v - b*v + 60. What is the least common multiple of n and v?
84
Suppose -4*m + 26 = 5*f, f + 47 = 5*m - 0*f. What is the smallest common multiple of 11 and m?
99
Let j(g) be the second derivative of g**3/3 - 7*g**2/2 - 2*g. Let a be j(5). Calculate the common denominator of (-2)/4*33*a and 26.
2
Let n be (5540/(-198))/((-1192)/30). Let w = n - 10/447. What is the common denominator of 43/18 and w?
198
What is the lowest common multiple of ((-1)/(-3))/(7/420) and 4?
20
Let m = -41 + 3. Let g = 260879/52 - -477/26. Let r = g - 5011. Calculate the common denominator of r and m.
4
Suppose -4*l + o + 40 = 0, 0 = 3*l + 2*l + 5*o - 50. Calculate the least common multiple of 18 and l.
90
Let o = -3 + 5. Suppose 0 = -o*n + 12 + 10. Calculate the lowest common multiple of n and 2.
22
Suppose 0*n - 252 = -14*n. Let y = 30 - 10. Calculate the lowest common multiple of y and n.
180
Let v(n) = -6*n - 13. Let r(c) = 6*c + 12. Let s(x) = -3*r(x) - 2*v(x). What is the smallest common multiple of s(-5) and 16?
80
Find the common denominator of ((-110)/(-25))/((-18)/(-5)) and 1/14.
126
Suppose -o - 3*c = 4, -5*o + 0*c + 6 = 2*c. Suppose -b = -3*b + 32. What is the lowest common multiple of o*-8*(-5)/4 and b?
80
Let b be (6 - 4) + (-50959)/18. Let n = -2830 - b. Find the common denominator of n and 27/10.
90
Let g = 727 + -6524/9. Calculate the common denominator of -65/42 and g.
126
Let p(f) = 3*f - 5. Let o = 1 - -3. Calculate the smallest common multiple of 6 and p(o).
42
Calculate the common denominator of (-13 - -2)/((-7)/(105/(-18))) and 95/12.
12
Suppose -2*a + 2 + 0 = 0. Calculate the smallest common multiple of 1 and a.
1
What is the common denominator of 0 + (530/24)/5 and -51/22?
132
Let s = 10028/7 - 1435. Calculate the common denominator of 4/3 and s.
21
Let d be ((-3326)/(-40))/((-12)/(-130)). Let u = d + -2720/3. Let s = 11199/8 + -1402. What is the common denominator of s and u?
8
Suppose 3*h + 0*x - 15 = -3*x, 4 = -4*h + 2*x. What is the common denominator of h and 8?
1
Let n(l) = -40*l**3 + 3*l**2. Let i be n(-3). Let r = i + -2117/2. Let s = 23675/12 + -1971. Calculate the common denominator of s and r.
12
Calculate the smallest common multiple of (36 + -38)/((-2)/7) and 2/((-2 + 1)*-2).
7
What is the common denominator of 2/3 + -4 + (-273)/45 and 81/52?
260
Let u(j) = 26*j + 1. Let g be u(1). What is the common denominator of -13/16 and (g/(-15))/(6/(-16))?
80
Suppose 5*q - 3*b = 2*b - 15, 2*q + 3*b = 19. Suppose -r + 13 = j, q*j - 5*r = -6 + 67. What is the lowest common multiple of 18 and j?
1 | {
"pile_set_name": "DM Mathematics"
} |
osest to i in -3, f, 1/6?
1/6
Let q be 3*3*2/6. Let f be ((-99)/44)/((-3)/36). Let g be (q - 7) + f/7. Which is the nearest to -1? (a) 4 (b) g (c) 0
b
Let h = -3129 - -3130. What is the nearest to -2/7 in -2/25, 1/5, 0.5, h?
-2/25
Let n = -10 + 5. Let s = -1918.3 + 1918. What is the nearest to -11 in s, 0.2, n, -3?
n
Suppose 2*t = -2*s + s, 2*t = -3*s - 4. Suppose -7 - t = -4*c. What is the nearest to 3 in -5, -0.5, c?
c
Suppose -123 + 131 = -4*z. What is the closest to z in 2/7, -2, 0.3?
-2
Let o = 21914.27 - 21914. Which is the closest to o? (a) 4/7 (b) 3.1 (c) 2/3 (d) 5
a
Let c be (-8265)/203 + 24 - -15. Let b = 0.38 - -16.62. Let v = -12 + b. What is the nearest to c in 3/2, v, 4?
3/2
Let k = 23.355 - 31.955. Which is the nearest to -1? (a) -4 (b) -0.06 (c) k
b
Let q = 190.74 - 190.54. Which is the nearest to 1/2? (a) q (b) -1 (c) 5 (d) -0.1
a
Let f be (-28)/(-3)*(-1080)/140. Let n be (-46)/f - (-18 - 213/(-12)). Let x = -0.08 - 0.22. Which is the closest to 0? (a) 1/6 (b) n (c) x
a
Let n be ((-30)/(-35) - 1)*((3 - -4) + -5). Let m = 1 - 1. Let d = -25.1 + 26.1. What is the closest to -3 in m, n, d?
n
Let k = -301.03 + 305.03. Which is the nearest to 2? (a) 3/8 (b) -4/3 (c) -4 (d) k
a
Let r = -1 - 15. Let x = r - -16.3. Let s = 0 + -0.2. What is the nearest to -2 in s, x, 2?
s
Let o = -221.48 - 5.52. Let w = o + 226. What is the nearest to -2/7 in -0.3, 2/7, -4, w?
-0.3
Let p = 4845.3 - 4551. Let z = -294 + p. Which is the nearest to -0.1? (a) -1/3 (b) z (c) 3/2
a
Let q = 0.076 - -0.106. Let x = q + -0.182. What is the closest to x in -1/18, -1, -5?
-1/18
Let u be 39/78*(-28)/10 + 1. Which is the closest to u? (a) 3 (b) -1/11 (c) -5 (d) -0.5
d
Let t = -36.34 - -23.34. Which is the closest to t? (a) 0.4 (b) -1/6 (c) -2/3 (d) -1
d
Let c = -1899763593/1441 + 1318365. Let q = c - 10/131. What is the nearest to -1 in -0.12, 5, q?
-0.12
Let w = 21.4 - 37.5. Let g = -0.1 - w. Which is the closest to 0? (a) 1 (b) g (c) 2/7
c
Let t(k) = 8*k - 8 + 0*k - 6*k + 0*k. Let g be t(-5). Let u be (-48)/(-22) - (3 - 1). Which is the closest to -2/5? (a) 0 (b) u (c) g
a
Let r = -15526 - -15396. Which is the closest to 1/4? (a) r (b) -0.1 (c) -3/7 (d) -0.5
b
Let u = -956 + 953. What is the nearest to -10/11 in 6, 2/7, u?
2/7
Let t = 58 + -48. Let i = t - 9.987. Let r = -3.013 + i. Which is the nearest to -0.05? (a) -1 (b) r (c) 0
c
Let i = -22.52 - -20.52. What is the closest to -2/3 in i, -1/2, 7?
-1/2
Let t = -0.06 + 0.56. Let s = t + 2.5. Let g(u) = -12*u**2 + 65*u - 27. Let h be g(5). Which is the closest to 0.1? (a) s (b) 0.1 (c) h
b
Let l = -2482 + 2486. Which is the closest to 11/2? (a) l (b) 3 (c) -5 (d) 0.5
a
Let h = -41745 + 41745.3. What is the closest to -4 in -1.3, 1.9, -4/5, h?
-1.3
Let w = -622.9 + 624. Which is the nearest to -3? (a) -1.6 (b) w (c) 5
a
Let c = -14.98689 - -0.08689. What is the nearest to -0.1 in c, 0.4, -3?
0.4
Let l be 2/4*(-24)/(-20). Let x = 32206 - 32205.6. What is the closest to -2/7 in l, x, -4, -4/5?
-4/5
Let n = -275 + 275.114. Let j = -4.886 - n. Which is the nearest to -11? (a) j (b) 2 (c) 5
a
Let f = -29 + 19. Let k be f/(-48)*(-3 - -1). Let s = 47286 + -47285.9. Which is the nearest to s? (a) -0.3 (b) k (c) 4/3
a
Let y = 21.08 + -0.08. Let d = 21.4 - y. Let u = -34 - -34.3. Which is the closest to -6? (a) 0.1 (b) d (c) u
a
Suppose -422*m + 427*m + 4*c = -471, -5*c = -30. What is the closest to m in 4, 0.4, -58?
-58
Let p = -39.2 - -39. Let f = 0.4 + p. Suppose 10*k = -28 - 2. Which is the closest to 2/7? (a) 0.1 (b) k (c) f
c
Let u = 241.2 - 282. Let w = 40.8 + u. What is the nearest to w in -0.4, -2/19, -2/7, 1/12?
1/12
Let s be (5 + -1)*(0 - -6)/18. Which is the nearest to -1? (a) -0.1 (b) s (c) -2
a
Suppose 3*v - 198 = -21. Let u = 237/4 - v. Let z = -20 + 19. Which is the closest to u? (a) -5 (b) z (c) -2/5
c
Let g = 0.3 + -0.4. Let b = -1230 + 1229.68. Let o = -0.02 - b. What is the closest to -2 in g, -1.1, o?
-1.1
Let w = 109/531 - -1/59. Let i = -1/7 + -3/28. Suppose 3*q + 24 = 3*z, -q = 4 - 1. What is the closest to w in z, 0.5, i?
0.5
Suppose -107*f + 61 - 229 = -119*f. Which is the closest to 2? (a) -31 (b) 5 (c) f
b
Let d be (-2)/(-3)*(-10)/(-100). Suppose -8*a = 2*a + 50. What is the nearest to 1/3 in 5, d, a?
d
Let t = 90839 - 90840. Let u = 3/25 - -2/25. What is the closest to t in 12, -5, u, -2/5?
-2/5
Let v = 0.157 - 0.057. Let u be 4/(-14) - (72/42 - 2). What is the nearest to 0 in u, 6, v?
u
Let z = 14509 + -14507. Which is the closest to z? (a) 73 (b) 5 (c) -0.4
c
Let w be 1/6*(-18)/6. Let z = 0.7515 + -1.2515. Which is the nearest to w? (a) 2/7 (b) -5 (c) z (d) 36
c
Let m = 540 - 546. Let j = 148 + -1330/9. Let f be ((-2)/6)/((-1)/(-1)). What is the nearest to -2/5 in j, m, f?
f
Let r = 0.6 - 0.2. Let o = -0.61191 + 0.91191. What is the closest to 0.2 in o, -2/7, r?
o
Let u be (2*-1)/((-28)/18). Let y = 20417 - 20418. Which is the closest to y? (a) -1/5 (b) u (c) -0.1
a
Suppose 0 = 15*v + 26 + 19. Let s be ((-5)/(-2) + -5)*-2. What is the nearest to 2 in v, 1/7, s?
1/7
Let t be (-4)/(-11)*(-222)/(-148). Which is the closest to t? (a) 1.4 (b) 0 (c) 5
b
Let k = 0.209 + -1.009. Let s = 0.4 + k. Let o = 1.1 - 0.1. What is the closest to -0.1 in s, -0.1, o?
-0.1
Suppose 23*f = 18*f - 22 - 3. What is the nearest to f in -3, -15, 0?
-3
Let o = 24 + -24. Let g = 416 - 417. Which is the nearest to 1/4? (a) g (b) o (c) 6
b
Let t = 31090 + -31087. Which is the nearest to -1/2? (a) -5 (b) t (c) 0.4 (d) -0.013
d
Let x = -0.98571 - 0.01429. What is the closest to 1 in 0, 2691, x?
0
Let w = -97 + 110. Let t = 10.6 - w. Let q = t + 2.7. What is the closest to 0.1 in q, 7, 0.5?
q
Let r = -29788 + 29799. Let m = -4.05 + 0.05. Which is the nearest to -5? (a) 0.1 (b) r (c) m
c
Let q be -13 - ((-4230)/33)/10. Let k(u) = -u**3 - 13*u**2 - 1. Let o be k(-13). Suppose 0 = -g - 0*g + 1. What is the nearest to o in q, g, 5?
q
Let j = 5.3 + -5.271. Let p = 0.229 - j. Let m = 11 + -10. What is the closest to -2/3 in 3, m, p?
p
Let l = -9015 + 9015.2. What is the closest to l in 25, -6, -5, 4?
4
Suppose -7*u = 4*t - 2*u - 438, 0 = -3*t - 3*u + 330. Let p = t - 46. Suppose -70*r = -p*r - 8. Which is the closest to -1/2? (a) -0.1 (b) r (c) -4
a
Let s = 0.07067 + 40.03933. Let n = s - 3.41. Let m = -37 + n. What is the closest to -2/3 in -1, m, 2?
-1
Let f = 2 + -1.96. Let i = 0.319 + 131.681. Let y = -132 + i. What is the nearest to y in f, 3, 0.4?
f
Let r = -401.859 - -401.9. Which is the nearest to 0.1? (a) 0.4 (b) r (c) 0.3 (d) -0.5
b
Let p = -2694.8 + 2694.7. Which is the closest to p? (a) 6/1955 (b) -0.1 (c) -1/2
b
Let o = 0.712 - 0.136. Let z = -0.176 + o. Let k = 18 - 53/3. Which is the closest to k? (a) 2 (b) -4 (c) z
c
Let v be 20/35*147/210. What is the closest to -1 in v, 5, -0.042, -4?
-0.042
Let a = -5.6 + 6. Let l = 681 - 1367/2. What is the closest to 1/2 in 1/60, l, a?
a
Let j be (-24)/(-18) - (38/6 - 7). What is the closest to -3 in 0.1, j, -7?
0.1
Let g(f) = -f**3 - 4*f**2 - f - 1. Let v be g(-4). Let o be (-1)/11*(-6)/v. Let k = -0.00436 - -0.08436. Which is the closest to -0.2? (a) o (b) -1/2 (c) k
c
Let q be (((-2)/9)/(-2))/(-46 - 1370/(-30)). Which is the nearest to -0.1? (a) 0.1 (b) -11 (c) q
a
Let x be (-4)/6 + 360/378. Let t = 74 + -75. Let r = -3 - -2. What is the closest to t in -3, x, r?
r
Let n = 17.83 - -0.27. Let d = n + -18. Let u = -8 - -8.4. Which is the nearest to 2? (a) u (b) d (c) 2
c
Let b = 190.83 - 195.83. What is the nearest to 0 in -0.06, -3/4, -17, b?
-0.06
Let i be 530/(-4)*(2 + (-33)/275*10). Which is the nearest to 3? (a) -2/25 (b) i (c) 1 (d) 4
d
Let j = 47379 - 47379.19. What is the closest to -2 in j, 6, 5?
j
Let u be ((-3)/10)/((-1)/2). Let i = -1185 + 1185.1. Which is the closest to -1? (a) i (b) 3 (c) u
a
Let t = 0.326 - -0.033. Let y = t - 0.259. What is the nearest to y in -0.5, -4, 4?
-0.5
Let y = 273/61 - 485/122. What is the nearest to -42 in -0.4, 1/7, y?
-0.4
Let g = 2.7 - 3. Let d = 339 - 339.1. Let k = -0.4 - -0.6. Which is the closest to d? (a) 0 (b) g (c) k
a
Let w be 180/(-81)*(-204)/1150. Let o = 2/345 + w. Let j(s) = s - 2. Let | {
"pile_set_name": "DM Mathematics"
} |
bigger: s or o?
o
Let j(g) = 2*g**2 + 33*g + 44. Let p be j(-15). Let n = 7 + 19. Let o be n/22 - (0 - -1). Which is greater: o or p?
o
Suppose i - 2 = 0, -u - 36 + 5 = -i. Let y = 33 + u. Suppose -2*s + 3*c = -y, 2*s - 4 - 4 = 5*c. Which is greater: s or 0?
0
Let d = 1152/7 - 70293/427. Which is smaller: 1 or d?
d
Suppose -4*r = -3*s - 27, -8*r + 3*s = -3*r - 36. Let x = 122 - r. Let l = x + -80. Are l and 34 unequal?
True
Let b = 118.5 + -67.5. Is b smaller than 20?
False
Let p = -23.2 + -223.8. Let d = -247.4 - p. Is d less than 12?
True
Let a be (-1)/((-81)/(-238)) + 2 + 1. Let x = -1907/28269 + a. Let s = 343/1047 - x. Which is smaller: 1 or s?
s
Suppose 4*y = x - 26, -5*x - 5*y + 2 + 3 = 0. Let s(a) = a - 16. Let f be s(x). Let m be (-2)/(1/f*2). Which is greater: m or 2?
m
Let u(o) = 2*o**2 - 7*o + 5. Let z(h) = -4*h - 28. Let b be z(-8). Let v be u(b). Suppose -10*j + 88 + 12 = 0. Which is smaller: j or v?
v
Let k = 31 - 28.2. Let g = 709 - 716.8. Let a = g + k. Which is greater: -4 or a?
-4
Let t(f) = -8 - 9 - 13*f - 10 + 17. Let x be t(-5). Suppose 13 = -3*p + x. Which is greater: p or 15?
15
Let q = 84 + -84. Suppose q*z - 21 = -7*z. Suppose -z*j = 40 - 64. Do 4 and j have the same value?
False
Let h = 162289/23088 - 337/48. Which is smaller: -1 or h?
-1
Let o = -30254 + 30665. Are o and 1231/3 nonequal?
True
Let f = -8500 + 16351/2. Let k = -324 - f. Is 1/2 at most k?
True
Let m be -177*(-1)/26*(-280)/(-6). Let i = 318 - m. Which is smaller: 4/9 or i?
i
Let m = -2 + -16. Let c = m + 18. Let a = 9.06 + -8.86. Which is smaller: c or a?
c
Let x = 4.8 - 5. Let a(j) = -j + 7. Let q be a(-5). Is q <= x?
False
Let k = -5865.8 - -5866. Is -1110 bigger than k?
False
Let u be (-4325)/(-173)*68/10. Which is greater: 31 or u?
u
Let p = 0.046 - 18.046. Let z = p + -1. Let y = z + 19.11. Which is smaller: y or 2/5?
y
Let l = 55 + -48. Suppose h - l - 16 = -5*i, -4*i - 5*h = -31. Let g = 0 - i. Which is smaller: 2 or g?
g
Suppose -2*w = -5*o + 1456, 12*w + 879 = 3*o + 9*w. Which is smaller: 274 or o?
274
Let d = -1414.9 + 1414.9. Let s = 0.1 + 0. Let n = s + 0. Are n and d unequal?
True
Let c = 5542 + -5541.9895. Which is greater: -6 or c?
c
Let x = -0.35254 + -1.61746. Is x <= -2/5?
True
Let f = 2380/13 + -73806/403. Let c be (-17 - -7)*(-3)/5. Let y be (-3)/c - (-2)/(-4). Which is smaller: f or y?
y
Let t = -210 - -209.73. Let s = -638.73 + 643. Let i = t + s. Is 2 != i?
True
Suppose 3*a - 6 = 3*r, -2*r - a - 7 = -12. Let o be 9925/(-875) - r/(-7). Which is smaller: o or -12?
-12
Let l = 2941 + -2665. Which is smaller: 272 or l?
272
Let c be 10/(-25)*(106596/(-5424) - -19). Is c at least 1?
False
Let h = 109.35 + -112.35. Is h smaller than -2908?
False
Suppose -2*m = 4*l - 16, 109*m = 105*m + 2*l - 18. Which is smaller: m or -77/62?
m
Suppose 0*f - 2*f = 4*p - 20, 0 = -4*f + 2*p. Let c(d) = -2 + f*d - 2 - 6*d + 0. Let v be c(-1). Which is greater: v or 2/171?
2/171
Suppose 27*k - 601 = 371. Is k >= 81?
False
Let x be 4 + (-12)/(-9)*135. Let z = 159 - -24. Which is smaller: x or z?
z
Suppose 4*g - 339 = 5*o, 0 = -2*g - 0*g + 5*o + 157. Let f = g - 111. Let k(u) = -17*u - 2. Let y be k(1). Is y >= f?
True
Let a be ((-135)/6)/(-3) + 2/4. Suppose 3*j + 5*l = -3, a*j - 11*j = -3*l - 21. Which is smaller: 37 or j?
j
Let o be (-2)/13 + (-15892)/(-5616). Let p = 11/4 - o. Let t be 8/10 - 231/420. Do t and p have the same value?
False
Let b(s) be the third derivative of s**5/6 + s**4/24 + s**3/6 - 27*s**2. Let a be b(-1). Let z be (2 - (0 - -1))/(a/(-50)). Are z and 1 nonequal?
True
Suppose 5*h + 139 = -b - 72, b = 4*h + 176. Let y = 23531 - 165019/7. Let m = h - y. Which is greater: -3 or m?
m
Let h = -23 + 59. Let m(f) = f**3 + 7*f**2 + 8*f - 6. Let j be m(-5). Suppose -2*u - t - 15 = 0, -2*u - h = -j*t - 6. Which is greater: u or -13?
u
Suppose 5*h - 20 = -2*w, 5*w - h - 21 - 2 = 0. Let s be 752/1840 - 2/w. Is -0.1 at least s?
False
Let z be (0 - 414/(-418)) + (-38 - -37). Let n = 472/5643 + z. Suppose -3*o + 2 + 1 = 0. Which is smaller: o or n?
n
Suppose -24*b = -28*b + 4996. Suppose -1523 - b = -14*z. Suppose -5*r + 16*r = z. Which is bigger: r or 19?
19
Let n = 0.647 - 0.62. Let y = n + -0.137. Let a(j) = -j**3 + 6*j**2 + 5*j + 17. Let k be a(7). Which is smaller: k or y?
y
Let i = -30 - -18. Let v = i - -11.9. Let c = v - 1.9. Are c and -2 unequal?
False
Let n = 7 - 12. Let y be (-10983)/(-3138)*(-1 - 18/14). Is n < y?
False
Let n = 19.7 + -6.8. Let b = n + -12.74. Let i = -0.06 + b. Is i < -0.01?
False
Let f = 4.82 - 5.74. Let z = -74.1 - -74. Which is greater: f or z?
z
Suppose 28*m - 28 = 24*m. Suppose 0 = -m*q + 14*q - 7. Which is bigger: 7 or q?
7
Suppose 0 = -4*b - 8, -8*b - 8 = -4*q - 6*b. Which is greater: 3/10546 or q?
q
Let v(g) = -g + 1. Let w be v(0). Let f be 4/(-17) - (-2673)/12155. Is f equal to w?
False
Suppose 159*z - 164*z - 10233 = t, -2*z - 4096 = -t. Is z at most as big as -2048?
False
Suppose 0 = -y + r + 6, 11*y + r = 7*y + 4. Suppose 0 = -v - y*w + 9, 2*v - 5*w - 13 = -31. Does -3/20 = v?
False
Suppose 0 = -5*x + 20, -290*k + x = -294*k + 20. Let n = 8 + -10. Is n at least as big as k?
False
Let i be (-8 - (-7 + 0 + 2))/(4/(-188)). Does i = 142?
False
Let w = 575 + -168. Suppose w + 28 = 5*x. Let d = x - 84. Which is bigger: 12/7 or d?
d
Let p = 10/97 + 271/194. Let u be (4/(-18))/(6/3). Let n = u + 13/36. Are p and n non-equal?
True
Let k(p) = 105*p**2 + 3*p - 3. Suppose 0 = -2*g + 5*j + 12, -4*g + 10 = -0*g - 3*j. Let h be k(g). Is 104 > h?
False
Let t be 63/85 + 8/(-10). Suppose -2*a = -8*a. Which is greater: a or t?
a
Let m(x) = 26*x**2 - 6*x - 9. Let h be m(-4). Let y = h - 418. Which is greater: y or 12?
y
Suppose 5*k - 6566 = -2*k. Let n = k + -913. Suppose 5*x + 2*v - 4*v - 127 = 0, 2*x - 46 = -4*v. Are n and x unequal?
False
Let c = 740 - 735. Let p be (-5208)/70 - 3/c. Which is smaller: -76 or p?
-76
Suppose -m = -6*m - 20. Let f = -2.674 + 2.2. Let b = f - 0.026. Which is smaller: m or b?
m
Let u(m) = 2*m - 46. Let z be u(5). Let q be z/(-198) - (-100)/(-66). Which is smaller: 0 or q?
q
Let t(p) = -p**3 + 11*p**2 - 22*p - 11. Let l be t(8). Let x be 0 - (-30)/l*(-4)/6. Which is smaller: x or -14/3?
-14/3
Let c(l) = -l**2 + 13*l + 5. Let v be c(7). Suppose -3*h + 30 = 3*y, 4*h + 4 = -y + 35. Suppose -23 - v = -h*i. Are 4 and i nonequal?
True
Suppose -3*m + 5*y + 4277 = -4575, 0 = 2*m - 4*y - 5902. Is 2949 != m?
False
Let f(l) = -51*l - 1626. Let m be f(37). Which is bigger: -3512 or m?
-3512
Suppose 2*x + 16 = -2*x, 0 = -4*c - 4*x - 32. Let h be (1 + -1)/(c - (-18)/6). Let q be 14/(-30)*((-115)/(-35) - 3). Which is greater: h or q?
h
Let l be 34/(408/45)*3*4/111. Which is bigger: 0 or l?
l
Let d(p) = -2*p**3 - 83*p**2 - 45*p - 161. Let o be d(-41). Let l be -4*2 - (-6)/(-3). Let r = l - -15. Is r >= o?
True
Let s(i) = -33*i - 1297. Let g be s(-39). Let o = -73/19 + -955/152. Is g >= o?
True
Let u = 11761 + -564499/48. Is u >= 0?
True
Let q = 29 + -21. Let f be 26/(-4) + 12/q. Let r be (6 + f)*((-4)/(-2) - 2). Is r >= -2/105?
True
Let c = 0.2 + -0.1. Let h be 9/(-2)*168/(-189). Suppose 2*g - 2*f - 24 = -h*f, -3*g - f = -28. Which is smaller: g or c?
c
Let y = -234 - -236. Suppose -y*x - x = 0. Which is greater: x or 3/49?
3/49
Let c be 2/(-11) + 124/66 + -3. Let t = 1/33 - c. Which is bigger: -2 or t?
t
Suppose 0 = -q - 4*v - 4 - 23, -5*q + 5*v = -40. Is q >= -4/779?
True
Let p(r) = -3*r**2 - 62*r - 95. Let x be p(-19). Which is smaller: x or 2/1073?
x
Suppose 0 = 14*f - 10*f. Are f and -3/998 unequal?
True
Let b = -7722 + 7719. Let j(d) = -583*d - 4. Let g be j(-5). Let c be g/(-861) + (0 + 0 - b). Is -1 not equal to c?
True
Let d(n) = -75*n**2 - 151*n - 3. Let w be d(-2). Which is smaller: w or -1/20413?
w
Let v be ((-104)/(-39))/(2/(-21039)) - -11. Is -28041 greater than v?
False
Let f be (0 - -1) + 216/2. Suppose c - 4*a = 59, -3*a = -2*c + 2*a + f. Let t(i) = i**2 - 966*i - 17666. Let r be t(-18). Is c != r?
True
Let w = -440 - -443. Let f(x) = x**3 - 5*x**2 + 10*x - 12. Let d be f(w). Are d and 5/41 unequal?
True
Suppose -3*s + 3*b = -189, 57 - 309 = -4*s - 4*b. Let q = -58 + s. Suppose -l - q*k + 102 = 3*l, -5*l = -4*k - 148. Which is smaller: l or 27?
27
Suppose 13*g - 21 = 6*g. Let s = 77 + -33. Supp | {
"pile_set_name": "DM Mathematics"
} |
4*h + 8. Suppose -2*z - m - 3 = 0, 3*z - 5*z - 4*m = 12. Suppose -2*b - 8 = -z*b. What is the remainder when 118 is divided by w(b)?
22
Let g = -44 + 64. Suppose -1767 + 311 = -13*b. What is the remainder when b is divided by g?
12
Suppose -6*n + 3*n + 15 = 0. Let l = 5573 + -5290. Suppose -n*q + 4*v + l = -0*v, -3*q - 4*v + 157 = 0. Calculate the remainder when q is divided by 29.
26
Suppose -2*c + 4*c - 22 = 0. Let m(z) = -41*z - 46*z - 16 + 103*z. What is the remainder when m(5) is divided by c?
9
What is the remainder when (-1216)/(136/(-17)) + (4 - 1) is divided by 36?
11
Let f = 25 + 222. Suppose -184 + f = 9*k. Calculate the remainder when 42 is divided by k.
0
Suppose 19694 = 176*w + 4382. Calculate the remainder when 224 is divided by w.
50
Let c(f) = -f**2 + 71*f - 963. Calculate the remainder when c(32) is divided by 128.
29
Suppose 3*f + 8 = -2*g - 8, 0 = -3*g + 5*f + 14. Calculate the remainder when 95 is divided by 5133/295 + g/5.
10
Let k(q) = 153*q + 922. Calculate the remainder when k(-5) is divided by 32.
29
What is the remainder when (-26 + 0)*(-11 + (-2 + -6 - 0)) is divided by 489?
5
Suppose 105 = 2*f - m, -101 = -2*f - 4*m + 9. Calculate the remainder when 459 is divided by f.
35
Suppose -5*w = -11 - 24. Calculate the remainder when 19 + 5928/169 + 2/(-26) is divided by w.
5
Let l = 1336 - 1084. What is the remainder when l is divided by 22?
10
Let a(n) be the first derivative of -28*n**2 - 16*n + 73. What is the remainder when a(-2) is divided by 29?
9
Let g = -10701 - -10734. What is the remainder when 2091 is divided by g?
12
Let z be ((-284)/(-213))/(-1 - 5/(-3)). Calculate the remainder when -3*((-54 - -3) + z) is divided by 42.
21
Let i = -971 - -991. Calculate the remainder when ((-198)/(-4))/((-2)/(-4)) is divided by i.
19
Suppose 3*z - 4*g = 5*z - 110, g = 2*z - 125. What is the remainder when z is divided by 53?
8
Let l(u) = u**3 + 31*u**2 - 101*u + 49. Let t be l(-34). Suppose -17*g = -359 - t. Calculate the remainder when 39 is divided by g.
17
Let y = 7840 + -7331. Calculate the remainder when y is divided by 32.
29
Suppose -4*z + 8 = -4*q, -z + 3*q = -2 - 0. Suppose -3*x = -4*b + 2028, -2535 = -3*b - 2*b - z*x. Calculate the remainder when b is divided by 85.
82
What is the remainder when -8 - (2329430/(-511) + 3/(-7)) - 3 is divided by 25?
23
Let n be 1 + (-219)/6*4/(-2). Suppose n + 130 = 2*g. What is the remainder when g is divided by 8?
6
Calculate the remainder when (-84)/36 - (-10)/(-30)*-19537 is divided by 148.
146
Suppose -8*f = -w - 10*f + 18, 3*w - 50 = -4*f. Suppose w*j - 13*j = -4*p + 62, -3*j + 4*p = -122. What is the remainder when j is divided by 12?
10
Let o = 171 + -171. Suppose o*i - 5*i + 45 = 0. Calculate the remainder when 51 is divided by i.
6
Let z be ((-3)/5 - 129/(-15)) + 3. Suppose -z*i - 14 = 85. Let d = i - -50. What is the remainder when 161 is divided by d?
38
What is the remainder when 1125 is divided by (-2874)/(-18) + -10 + (-44)/(-33)?
68
Suppose -4*m = -z - 3*m - 1, -4*m - 8 = 0. What is the remainder when 15953/129 - z/(9/(-2)) is divided by 14?
11
Let m be -6 + 201 + -2 - -1. Let i = 316 - m. Calculate the remainder when i is divided by 31.
29
Suppose 3*g - 34 = 2*h, 4*g - 3 - 73 = -5*h. Suppose 4*d - 4*b = 424, 19*d + 4*b + 214 = 21*d. What is the remainder when d is divided by g?
7
Suppose 3*x - 808 = -5*u, -11*u - 467 = -12*x + 10*x. Calculate the remainder when x is divided by 20.
1
Let f(o) = 3*o**2 + 11*o + 41. What is the remainder when f(-10) is divided by ((-96)/(-32))/((-3)/(-29))?
28
Let a(h) = -11 - 1 - 117*h + 118*h. Let x be a(-13). Let f = 44 + x. Calculate the remainder when 36 is divided by f.
17
Suppose 0 = -4*c + 3*r + 936, -41*c - 4*r - 260 = -42*c. What is the remainder when 54263 is divided by c?
227
Let k = -313 + 330. Calculate the remainder when 1 + (k - -2) + (-105)/(-21) is divided by 20.
5
Suppose 8*i - 5*i - 5*d - 23650 = 0, 5*d = 4*i - 31545. What is the remainder when i is divided by 247?
238
Suppose 3*y + 6 + 3 = 0, -5*t = -4*y - 372. Calculate the remainder when 78 is divided by t.
6
Suppose p + 177 = 4*p. Let q(a) = a**3 + 8*a**2 - 6*a + 5. Calculate the remainder when q(4) is divided by p.
55
Let d = 95 + 28. Let a = -111 + d. Calculate the remainder when 32 is divided by a.
8
Suppose -p = 3*o - 238, 0 = -3*o - 20*p + 16*p + 241. Calculate the remainder when 4025 is divided by o.
75
Suppose -583 = -170*o + 159*o. What is the remainder when o is divided by 9?
8
Let c = -27489 + 27493. Suppose 0 = 3*n + 9, 3*b - 3*n - 15 = -n. Suppose b*q + 3*m = 195, 4*m = -3*q + 2*q + 53. What is the remainder when q is divided by c?
1
Suppose 1903*j - 1568 = 1895*j. Suppose 0 = -2*n + 7*n - 150. Calculate the remainder when j is divided by n.
16
Let g = -198 - -205. Suppose 2 = n + 4*t, -2*n + 8*t = g*t - 13. Calculate the remainder when 22 is divided by n.
4
Let f(d) = -d**2 - 8*d + 9. Let h be f(-5). Suppose 23 = 4*c - 3*c. Calculate the remainder when c is divided by (5/20)/(2/h).
2
Let j = 7 + 2. Suppose 5*u + 3086*w = 3085*w + 54, 0 = u - 2*w - 24. Calculate the remainder when u is divided by j.
3
Suppose -389*w = -36 - 7355. Suppose -5*p - 14 = 2*u - u, -2*p - 3*u - 16 = 0. Calculate the remainder when (p + 1)*-1*49 is divided by w.
11
Let m(s) = s**3 - 9*s**2 + 12*s - 12. Let v be (1 + 4 + -10)*1 - -13. What is the remainder when 79 is divided by m(v)?
19
Let m = 104 + -36. Suppose 472 = -6*j - m. Let n = j - -233. Calculate the remainder when n is divided by 9.
8
Suppose 5*u - 4*w - 740 = -563, -u = -4*w - 29. What is the remainder when 8540 is divided by u?
30
Let k(d) = -208*d - 1062. Calculate the remainder when k(-6) is divided by 44.
10
Let s be 6 + (1 - (11 + -6)). Suppose s*p - y = 31, p - 13 + 8 = -3*y. What is the remainder when 54 is divided by p?
12
Suppose 0 = -2*t - 2*v - 1740, -5*t + 5*v - 2*v - 4366 = 0. Let g = 931 + t. Calculate the remainder when g is divided by 16.
11
Let t(k) = 2230*k + 2937. Calculate the remainder when t(5) is divided by 6.
5
Suppose -4*j + 36 = 4*h, 0 = -h + 3*j - 4 + 1. Let l = -262 + 332. Suppose -s = h*s - l. What is the remainder when s is divided by 3?
1
Let u(j) = 3*j**2 + 203*j + 1358. Calculate the remainder when u(-7) is divided by 28.
0
Let u = 172 - 296. What is the remainder when 3*(u/(-12) + 0/(-1)) is divided by 6?
1
Let z(r) = -r**3 + 5*r + 6. Let i be z(-2). Suppose 48 = i*v + 16. Calculate the remainder when v is divided by 6.
2
Calculate the remainder when 5667 is divided by (8 + ((-98)/35)/1)*5.
25
Suppose -793*i = -800*i + 637. What is the remainder when 1615 is divided by i?
68
What is the remainder when 3665 is divided by ((-10)/(-4))/(1225/6860)?
11
Let v = -53 - -75. Suppose 16*p - 5 = -341. What is the remainder when 67 + (-3)/(p/(-35)) is divided by v?
18
Let r = -1669 + 6727. What is the remainder when r is divided by 21?
18
Suppose 4*m = -4*l + 156, m + 12 = -2*l + 54. Suppose -8*r - 21424 = -102*r - 114*r. Calculate the remainder when r is divided by m.
31
Let k(r) = r**3 + 6*r**2 + 2*r - 9. Let v be k(-5). Let n be (-1 - (4 - 6 - v))*1. Let q = n - -4. Calculate the remainder when q is divided by 3.
2
Suppose -25 = 3*y - 19, 4*z = 2*y + 272. Calculate the remainder when 4354 is divided by z.
66
Suppose -58 = i - 5*n + 85, -n = -4*i - 496. Let k = 334 - 440. Let b = k - i. Calculate the remainder when b is divided by 10.
7
Calculate the remainder when 156 is divided by (-4)/(-26) + 16/((-3120)/(-8745)).
21
Let u = -5749 - -5821. What is the remainder when 108 is divided by u?
36
Suppose -110*h + 3267 = -77*h. What is the remainder when h is divided by 86?
13
Let a = 4441 + -3798. Calculate the remainder when a is divided by 8.
3
Let v = -1594 - -3558. What is the remainder when v is divided by 484?
28
Let k(s) = -6*s - 1 - 3*s**3 + 10*s**2 + 8 + 2*s**3 - s**2. Calculate the remainder when (194 - 193) + (1 - 0) + 133 is divided by k(8).
20
Let a = 16681 + -16602. Let v = -17 + 249. What is the remainder when v is divided by a?
74
Let z = 315 - 240. Let o = 107 - 94. Calculate the remainder when z is divided by o.
10
Let l(t) = 4*t**2 + 2*t - 1. Let b be l(1). Suppose 0 = b*o + r - 53, -1 = 2*r + 3. What is the remainder when (34/(-10))/(((-2)/(-10))/(-1)) is divided by o?
| {
"pile_set_name": "DM Mathematics"
} |
Expand (3 - 1 - 1)*(-9*y + y**2 + 9*y)*((-5 + 0 + 4)*(2 - 7 + 3) - 2 + 4 + 1)*(2 + 0 - 4)*(0*y**2 - 2*y**2 + 4*y**2) + 7*y**4 + 8*y**4 - 8*y**4.
-13*y**4
Expand -2*w**4 - 1 + 1 + (-6*w**2 + 6*w**2 + 4*w**3)*(-229*w + 104 - 104).
-918*w**4
Expand (-5*t + 12*t + 10*t)*(174 - 86 - 24)*(-1 - 2 + 2).
-1088*t
Expand (4*u - 3*u + 2*u)*(2 - 2 - 2*u**2)*(1773 - 5870 + 2478)*(2 - 3 + 2).
9714*u**3
Expand (0*f**5 + 4*f**5 - f**5)*(-1 - 1 + 4) + (9 - 9 + 4*f)*(-12*f**4 - 29*f**4 + 7*f**4) + 0*f + 0*f - f**5.
-131*f**5
Expand (-224*v**2 + 110*v - 201*v**2 - 111*v)*(-1 + 1 - 2*v).
850*v**3 + 2*v**2
Expand (-148*k + 14*k + 9*k)*(-3*k - 3*k + 5*k + 6).
125*k**2 - 750*k
Expand 207*v**2 + 261*v**2 - 497*v**2 + 3 - 1282*v**2 + (3*v + 0*v - 4*v)*(-4 + v + 4).
-1312*v**2 + 3
Expand (-318 + 636 - 293)*(-3*z + 0*z + 0*z).
-75*z
Expand -164*b + 32*b - 88*b + (b + 0 + 0)*(1 + 0 + 1) + b - 2*b + 0*b + (-8 + 2 + 8)*(-5 + b + 5).
-217*b
Expand (1 - 2 - 1)*(1 - 1 + d) - d + 2*d + 0*d - 392*d - 728*d + 418*d.
-703*d
Expand -43072*y + 43072*y - 12802*y**4 + (1 - 1 - y**2)*(4*y - 2*y**2 - 4*y) + 5*y**4 - 2*y**4 + 0*y**4.
-12797*y**4
Expand (212 - 37*z - 212)*(83*z - 19 - 18 + 39).
-3071*z**2 - 74*z
Expand -8*i - 11*i + 24*i + 4*i**2 + (2*i - 9*i - 12*i)*(0*i + 6*i - 2*i).
-72*i**2 + 5*i
Expand (-14 + 106*l - 2 + 9)*(-5*l**4 - 3 + 3).
-530*l**5 + 35*l**4
Expand (-6 - 3 + 26)*(1182*d + 213*d**2 + 84*d**2 - 1184*d).
5049*d**2 - 34*d
Expand (-13*v - 9*v + 3*v)*(71*v + 88*v - 113*v).
-874*v**2
Expand (-34*g**2 + 14*g**2 - 5 + 19*g**2)*(124*g**2 - 44*g**2 + 67*g**2).
-147*g**4 - 735*g**2
Expand (8*d + 11*d**3 - 8*d)*(-50*d**2 + 60*d**2 - 68*d**2) - 2*d**5 + 2*d**5 - d**5 - 4*d**5 + d**5 + 5*d**5.
-637*d**5
Expand (-32 + 10 + 1 + (-12 + 6 + 3)*(1 + 1 + 0))*(0*r - r + 0*r)*(r**2 - 4*r**2 + 4*r**2).
27*r**3
Expand (2*d**4 - 5*d**4 + d**4)*(84*d + 112 - 112) - 5 - 3*d**5 + 5 + (-1 + 1 + d**4)*(-5*d + 0*d + 4*d).
-172*d**5
Expand (-20 + 20 + 14*m)*(3*m**4 + 240*m**3 - 240*m**3 + 15*m - 15*m + 2*m**4 + 2*m**4 - 5*m**4 + m**4 + (-2*m**3 + 3*m**3 - 3*m**3)*(-4 + m + 4)).
14*m**5
Expand (-1 - c + 3*c - 3*c)*(14 - 81*c + 384*c - 16) + 2*c**2 - 5*c**2 + 4*c**2 + (2*c + c - 4*c)*(0*c + c + 0*c) + 3*c**2 + 0*c + 0*c.
-300*c**2 - 301*c + 2
Expand (4*b + 9*b - 7*b)*(-5*b + 3*b - 6*b)*(6 - 6 + 8*b**3).
-384*b**5
Expand -3*v**4 + 0*v + 0*v + (-28*v**2 - 25*v**2 - 14*v**2)*(4 - 4 + 2*v**2) + (-v**3 + 3*v**3 - v + 0*v**3)*(-3*v + 4*v - 2*v).
-139*v**4 + v**2
Expand (179 - 179 + 11*n**2)*(-3 + 2 + 2 - n)*(-1 + 2*n + 1) - 2*n**3 + 2*n**3 + 85*n**4.
63*n**4 + 22*n**3
Expand (-22*p**3 + 29*p**3 + 77*p**3)*(5*p**2 - 3*p**2 + 0*p**2) + 0*p**5 - 2*p**5 - p**5.
165*p**5
Expand (-2*c + 3*c - 3*c)*(-6 + 4 - 2)*(-224*c + 26587 - 26587).
-1792*c**2
Expand (m + 2 - 2)*(2560 - 55 - 863).
1642*m
Expand (5 + 0 - 4)*(1 - 4 + 5)*(-4*p + 4*p + p**2)*(-542*p**2 - 70*p**2 + 54*p**2).
-1116*p**4
Expand (22*y + 114 - 114)*(-3*y + 3*y - 2*y**2) + y**3 - 224 - 238 + 477.
-43*y**3 + 15
Expand (91*n + 3*n**2 - 91*n)*(2*n + 4*n - n)*(-22 + 68 + 46).
1380*n**3
Expand (5 + 8 - 6)*(6*d - 92*d - 15*d) + 3 - 2 + d - 3.
-706*d - 2
Expand (3 - 3 - 4)*(2472 + 41*k - 2472)*(-4*k**2 - 4*k**2 + 0*k**2).
1312*k**3
Expand (3*l - 4*l + 0*l)*(-31 - 99*l + 228*l - 137*l)*(2 - 5 + 1).
-16*l**2 - 62*l
Expand -746 + 1492 + 98*r**2 - 751 + (-17 + 18 + 8)*(-4*r**2 - 2*r**2 + 4*r**2).
80*r**2 - 5
Expand ((0 + 2 - 3)*(2 - 4 + 3) + 0 - 6 + 3)*(k**2 - 13844*k - 496 + 13844*k).
-4*k**2 + 1984
Expand (-339 - 257*p**2 + 339)*(p + 0*p**2 + 4*p**2 - 2*p).
-1028*p**4 + 257*p**3
Expand -9*j**2 - 35 + 35 + 0*j**2 + 0*j**2 + 2*j**2 + (-2 - 2 + 2)*(-2*j**2 + 1 - 1) + (2*j + 3*j - 2*j)*(-5*j + 11*j + 0*j).
15*j**2
Expand (7*d**3 + 3 - 3)*(2*d - d + 2*d) + 75651 - 75651 + 267*d**4.
288*d**4
Expand (1 + 1 - 1)*(-w + 0*w + 0*w + (1 - 1 - 3*w)*(1 - 2 + 0) + 145*w - 716*w + 333*w).
-236*w
Expand (-6 - 1 + 3 - 2*g)*(-31 - 127 + 52).
212*g + 424
Expand (-3*r + 5*r - r)*(4*r - 4*r - 2*r)*(2*r - 2 - 178 - 64).
-4*r**3 + 488*r**2
Expand (2229*w + 1139*w + 304*w)*(-3 + 5*w + 3) - 4 + w - 2*w**2 + 4.
18358*w**2 + w
Expand (w - w + 2*w**2)*(1953 + 2257 + 1484).
11388*w**2
Expand (i - 13 + 13)*(140 - 140 - 181*i**4).
-181*i**5
Expand (36*z**3 - 33*z**3 + 40*z**3)*(0 + 2 - 3)*(1 - 2 + 11).
-430*z**3
Expand (4*b - 343*b**4 + 10*b - 14*b)*(-8 + 16 + 5).
-4459*b**4
Expand (6 - 13 + 5 - 34*l)*(0*l - 3*l - 3*l)*(1 - 1 - 6*l**3).
-1224*l**5 - 72*l**4
Expand (2 - 1 + 5)*(-p**2 + 4*p**2 - 5*p**2) - 12 + 12 - 6*p**2 + 2*p**2 + 0 + 0.
-16*p**2
Expand (-1 + 0 + 2)*(9 - 45 + 13)*(19*t + t + 4*t).
-552*t
Expand (1 - 2 - 2)*(7 - 1482*b - 2*b**3 - 7 - 2 + 1071*b).
6*b**3 + 1233*b + 6
Expand (-1 + 1 - 2*b)*(-3*b**4 + 2*b**4 + 2*b**4) - 1420*b**5 - 537*b**5 - 3355*b**5.
-5314*b**5
Expand (-1 + 1 + 2*r)*(1859*r - 3720*r + r**2 + 1856*r - 54*r**4).
-108*r**5 + 2*r**3 - 10*r**2
Expand 0*j**2 + j**2 + 6*j**2 + (-5*j + 0*j + 2*j)*(3*j - j - j) + (4*j - 2*j**2 - 2*j - 3*j)*(-36 + 6 - 13).
90*j**2 + 43*j
Expand (-q + 2*q - 2*q)*(2 + 0 + 1) + 1 + 4*q + 6*q - 9*q.
-2*q + 1
Expand (0*v + 0*v + 2*v)*(2 - 5 - 7)*(-1 + 5 - 2 + (0 + 0 - 2)*(-1 + 1 + 1) - 3 + 0 - 2).
100*v
Expand (-8*m**4 - 46313 + 2*m + 0*m + 46316)*(-3 + 4 - 2)*(5 + 0 + 9).
112*m**4 - 28*m - 42
Expand (-5*r + r + 2*r)*(5*r - 4*r - 2*r) + 12423*r**2 - 24853*r**2 - 23 + 12433*r**2 + 120*r.
5*r**2 + 120*r - 23
Expand (-11*f**2 + 0*f**2 + f**2)*(-6 + 3*f + 2*f + 4) + (3*f + 4*f - 4*f)*(-3*f**2 + 2*f - 2*f).
-59*f**3 + 20*f**2
Expand 0 - m**2 + 0 + (4*m - 5*m + 3*m)*(1 - 1 + m) + 455*m - 14*m**2 + 18*m**2 - 456*m.
5*m**2 - m
Expand (-2*a + a + 2*a)*(-1 + 7 - 1)*(363*a - 461*a + 162*a - 3030*a - 5966*a).
-44660*a**2
Expand (1 + 1 - 4)*(38203 + 60*g - 38203)*(-3 + 3 - 2)*(-g + g + g).
240*g**2
Expand -3*c + 3*c - 2*c**3 + 0*c + 2*c**3 + 0*c + (-1 - 1 + 3)*(-c**3 - 3*c**3 + 3*c**3) + 441*c**3 - 467*c**2 + 467*c**2 - 4*c**2 - 2*c**3 + 3*c**2 - c**2.
438*c**3 - 2*c**2
Expand (3 - 5 - 1 + 2)*(1494*n - 3480*n - 27104*n).
29090*n
Expand (-1 + 1 + z)*(-145 - 273 + 3049) + (2*z + 3*z - 2*z)*(1 + 2 - 1).
2637*z
Expand (3146*c - 18 - 3146*c - 3*c**5)*(-4 + 3 + 2).
-3*c**5 - 18
Expand (429 + 600*o - 429)*(-11 + 4*o + 11).
2400*o**2
Expand (11613 - 11613 - 8*s)*(13 + 4 + 10)*(-2 + 5 - 2).
-216*s
Expand (3*p - 2*p - 5*p)*(21 - 15 - 103) - 6*p + 5*p + 3*p.
390*p
Expand ((-3 - 1 + 2)*(-5 + 3 + 0) - 5 + 1 + 2 + 1 - 3 + 1 + 0 - 1 - 2)*(-4*c + 3*c - 3*c) - 83*c - 89*c + 53*c + (1 - 4 + 0)*(-2*c + c - c).
-105*c
Expand (-2*l + 1 - 1)*(727*l**3 + 447 + 443 - 891).
-1454*l**4 + 2*l
Expand -60 - 55 + 125*t + 115 + (-7*t + 13*t - 3*t)*(1 - 1 + 2).
131*t
Expand (-1 - 3 + 2)*(-3*g - 3*g + 4*g) - 821*g - 1604*g - 1 - 3192*g - 3169*g + 1.
-8782*g
Expand (-2*v**2 + 11*v**2 - v**2)*(-v**2 + 4*v**2 - v**2)*(11 - 7 - 11).
-112*v**4
Expand u**2 - 2*u**2 + 4*u**2 + (-2 + 2 + 1)*(u**2 + u**2 + 0*u**2) - u**2 - 50*u**2 - 17*u**2.
-63*u**2
Expand (15*s + 3 + 55*s + s)*(-5 + 0 + 4).
-71*s - 3
Expand ((6 - 2 - 3)*(2 + 1 - 1) - 3 + 6 - 2 - 3 + 3 - 1)*(-110 + 110 - 15*c)*(-2*c + 4*c - 4*c)*(-9 - 3*c**3 + 9).
-180*c**5
Expand -36*q - 2*q**2 + 36*q + q**2 - q**2 - 6*q**2 + (-2 + 1 + 0)*(2 - 3*q**2 - 2).
-5*q**2
Expand (-3*x + 3*x - x)*(-3*x - 3 + 3) - 33 - 146*x**2 + 333*x**2 - 160*x**2.
30*x**2 - 33
Expand (-1 - 1 + 3)*(0*j - 3*j + 2*j) + (7 - 1 - 4 + (-2 + 4 - 1)*(2 - 2 + 2) + 2 + 0 + 0)*(-5*j - 3*j + 2*j).
-37*j
Expand (3*a**4 - 16*a**4 - 7*a**4)*(a + 1 - 1) + 123*a**5 - 63*a**5 + 223*a**5.
263*a**5
Expand -2*l**2 - 24*l**2 + 4*l**2 + (-l + 4*l - 4*l)*(-34*l - 46*l + 23*l) - l**2 + 1 + l**2 - 2*l**2.
33*l**2 + 1
Expand (2*p**2 - 4*p + 7 - 7 + (-4*p - p + 7*p)*(2*p + 4 - 4))*(-2911 + 277*p + 2911).
1662*p**3 - 1108*p**2
Expand 4 - 4 + s**2 + (-s + s + 2*s)*(2*s - s - 3*s) - 5*s**2 - 2*s**2 + 4*s**2 - 5*s**2 - 16963 + 16975 + s**2.
-10*s**2 + 12
Expand (-371*i**2 + 25*i**4 + 371*i**2)*(-4 + 1 - 2)*((1 - 1 + 2*i)*(1 - 4 + 0) + 1 - 1 + 2*i - i + 2*i - 2*i).
625*i**5
Expand -d**4 + 3*d**4 + 0*d**4 + (-3*d - 2*d**2 + 3*d)*(-d**2 + 0 + 0) + 119598*d**2 + 811*d**4 - 119598*d**2.
815*d**4
Expand -4 + 2*y + 4 + (-y + 5*y - 2*y)*(0 + 1 + 1) - 1046*y + 1548*y - 810*y.
-302*y
Expand (-13 + f + 14 + 5*f + (-3 + 2 - 2)*(f - 3*f - 15*f))*(-f + 0 + 0)*(f**2 - 4*f**2 + 4*f**2).
-57*f**4 - f**3
Ex | {
"pile_set_name": "DM Mathematics"
} |
ond derivative of c*j**o - j + 2*j + j wrt j.
24*j**2
Let g(d) be the first derivative of -7*d**4/2 + d**3/3 - 35*d + 52. What is the third derivative of g(h) wrt h?
-84
Let b(p) = 8*p**3 - 3*p**2 - 2*p. Let h(z) = -z**3 + z**2. Let l(x) = b(x) + 3*h(x). What is the second derivative of l(q) wrt q?
30*q
Let p(a) be the second derivative of 0*a**6 + 0*a**2 + 0 + 1/6*a**4 + 0*a**3 + 0*a**5 - 5/42*a**7 + 3*a. What is the third derivative of p(z) wrt z?
-300*z**2
Let h(l) be the first derivative of 1 + 0*l**3 + 1/4*l**4 + 0*l**2 - l. Differentiate h(u) wrt u.
3*u**2
Let y(i) be the first derivative of -2 + 2*i + 0*i**2 + 0*i**3 - 3/4*i**4. What is the first derivative of y(f) wrt f?
-9*f**2
Suppose 3 = 3*o - 12. Find the second derivative of 8*i - 5*i + 5*i - 6*i**o wrt i.
-120*i**3
Let d(i) be the second derivative of i**8/420 - i**5/60 + i**3/2 + 4*i. Let l(w) be the second derivative of d(w). Find the second derivative of l(q) wrt q.
48*q**2
Let w(j) be the first derivative of j**6/10 + j**2/2 + 3*j + 3. Let i(u) be the first derivative of w(u). Differentiate i(s) wrt s.
12*s**3
Let p(w) = 10*w**2 + 14*w. Let k(g) = -g**2. Let i(r) = 4*k(r) + p(r). What is the second derivative of i(a) wrt a?
12
Let t(q) be the third derivative of -q**9/28 - 3*q**5/10 + 8*q**2. What is the third derivative of t(o) wrt o?
-2160*o**3
Let f = 40 - 118/3. Let x(m) be the third derivative of 1/24*m**4 + 0*m + 0 - f*m**3 - 2*m**2. Find the first derivative of x(o) wrt o.
1
Let a = 5 + -20. Let p(f) = f**3 - 5*f**2 - 4*f. Let x(d) = d**2 + d. Let g(i) = a*x(i) - 3*p(i). Find the second derivative of g(v) wrt v.
-18*v
What is the second derivative of 2*y - 2 + 0 + 39*y**2 - 48*y**4 - 39*y**2 wrt y?
-576*y**2
Let v(i) = -11*i**2 + 2*i - 39. Let s(m) = -23*m**2 + 6*m - 78. Let z(w) = 2*s(w) - 5*v(w). Differentiate z(j) wrt j.
18*j + 2
Find the second derivative of 5*i**5 + 5*i - 15*i + 11*i wrt i.
100*i**3
Let c(x) = -x**2 - 5*x - 2. Let r be c(-4). Find the second derivative of -r*z - 3*z + 3*z - 2*z + 2*z**3 wrt z.
12*z
Let y(w) be the second derivative of 0 + w**2 + 0*w**4 + 0*w**3 + 0*w**5 - w - 1/15*w**6. Find the first derivative of y(c) wrt c.
-8*c**3
Differentiate 22 - 13*t - 35 + 21 with respect to t.
-13
Let y(i) be the third derivative of -5*i**4/8 + 41*i**3/6 - i**2. What is the derivative of y(a) wrt a?
-15
Let l(v) be the first derivative of -27*v**4/2 + 2*v**3/3 - 57*v + 46. What is the third derivative of l(j) wrt j?
-324
Let n(d) be the second derivative of 0*d**7 + 0*d**3 + 0*d**5 + d + 0*d**2 + 1/28*d**8 + 0*d**6 + 0 + 1/4*d**4. What is the third derivative of n(g) wrt g?
240*g**3
Let d(w) = 44*w**2 + 55*w. Let n(c) = -43*c**2 - 53*c. Let v(m) = -2*d(m) - 3*n(m). What is the second derivative of v(t) wrt t?
82
Let t(v) = -5 - 2*v + 5 + 5 - 3*v. Let l(h) be the second derivative of -h**3 + 3*h**2 + h. Let j(x) = -4*l(x) + 5*t(x). Differentiate j(s) with respect to s.
-1
What is the second derivative of 6*p**4 - 3*p - 13*p**4 + 31*p**4 + 15*p**4 wrt p?
468*p**2
Let q(o) = -o**3 - 8*o**2 - 7*o + 1. Let f be q(-7). Find the first derivative of 11*n - 5*n**3 + f - 11*n wrt n.
-15*n**2
Let u(f) be the second derivative of -f**4/6 - 4*f**2 + 22*f. Differentiate u(n) wrt n.
-4*n
Let s(o) = 46*o**2 + 13*o - 5. Let t(k) = 23*k**2 + 7*k - 2. Let b(i) = 2*s(i) - 5*t(i). What is the second derivative of b(l) wrt l?
-46
Let l(o) be the second derivative of o**8/7 - 13*o**4/6 + 18*o. Find the third derivative of l(z) wrt z.
960*z**3
Suppose 3*w = -0 + 12. Let v(q) = q + 4. Let g be v(-2). What is the first derivative of z**4 + g - 1 - w + 0*z**4 wrt z?
4*z**3
Suppose x = -2*x + 3. Let n(o) = o**3 + o - 1. Let b(k) = -12*k**3 + 6*k**2 - 6*k + 6. Let v(y) = x*b(y) + 6*n(y). What is the third derivative of v(r) wrt r?
-36
Suppose -6 + 2 = -g. Find the second derivative of 2*k**4 - 2*k**g - 4*k + 21*k**5 - 20*k**5 wrt k.
20*k**3
Let n(l) = -l + 1. Let s be n(-3). Let d = 7 - s. Find the third derivative of -4*k**5 + d*k**5 + 2*k**5 + 2*k**2 wrt k.
60*k**2
Let z(s) be the second derivative of 1/6*s**6 + 0 + 0*s**5 + 1/3*s**3 + 8*s + 0*s**2 + 0*s**4. What is the second derivative of z(u) wrt u?
60*u**2
Suppose 0 = -5*u + u + 8. What is the second derivative of -4 + 2*c - 3*c**2 + 4 + c**u wrt c?
-4
Let m(f) be the second derivative of -f**8/112 - f**5/15 - 5*f**2/2 + 3*f. Let k(p) be the first derivative of m(p). What is the third derivative of k(t) wrt t?
-180*t**2
Let r(d) be the first derivative of -d**7/14 - d**4/6 + 3*d - 1. Let a(l) be the first derivative of r(l). Find the third derivative of a(v) wrt v.
-180*v**2
Let s(z) be the second derivative of z**4/2 - z**3/3 - 5*z. What is the second derivative of s(f) wrt f?
12
Let p(f) = -f**4 + f**3 + 1. Let m(z) = 0*z**3 - 2*z**3 - 7 - 2*z**3 + 5*z**4. Let a(u) = m(u) + 4*p(u). What is the derivative of a(j) wrt j?
4*j**3
Let u(t) = -t**3 + 11*t + 14. Let c(k) = -k**3 + 6*k + 7. Let w(o) = 11*c(o) - 6*u(o). What is the first derivative of w(y) wrt y?
-15*y**2
Let j(m) be the third derivative of m**6/15 + m**4/3 - 17*m**2. Find the second derivative of j(b) wrt b.
48*b
Let i(x) be the second derivative of x**7/105 - x**4/12 + 3*x**2/2 + x. Let m(j) be the first derivative of i(j). Find the second derivative of m(l) wrt l.
24*l**2
Let r = 5 + -3. Let v = 38 + -36. What is the third derivative of -m**5 - 3*m**2 + 2*m**5 + v*m**5 + 5*m**r wrt m?
180*m**2
Let j(p) be the third derivative of 0*p + 0*p**7 - 1/24*p**4 + 0 + 0*p**3 + 0*p**5 + 0*p**6 + 4*p**2 - 1/168*p**8. Find the second derivative of j(o) wrt o.
-40*o**3
Let i be (-1)/2 + (-49)/(-42). Let q(u) be the first derivative of -i*u**3 - 1/2*u**2 + 0*u + 2. Find the second derivative of q(g) wrt g.
-4
Let k = 10 - 4. What is the first derivative of -f**3 + k - 1 - 3 + 1 wrt f?
-3*f**2
Let w(c) = -47*c**3 + 5*c**2 - 5*c + 10. Let k(t) = 71*t**3 - 7*t**2 + 8*t - 14. Let a(q) = 5*k(q) + 7*w(q). What is the second derivative of a(x) wrt x?
156*x
Let i(o) be the second derivative of -o**6/180 + o**4/12 - o**3/3 + o. Let x(a) be the second derivative of i(a). What is the derivative of x(g) wrt g?
-4*g
What is the third derivative of 2*n**3 + 0 + 7 - 7 - 2*n**2 wrt n?
12
Suppose -5*c + 30 = 3*x, -2*c + 3*c + 2*x - 13 = 0. Let p be (-11 - -2)*(-1)/c. What is the second derivative of m**3 - 3*m + 2*m + m**p wrt m?
12*m
Let c(b) be the first derivative of b**6/60 + b**3/3 - 2*b**2 + 4. Let d(w) be the second derivative of c(w). Differentiate d(q) wrt q.
6*q**2
Let c be (2/(-4))/(4/16). Let h be 1 + -1 - 4/c. What is the third derivative of 2 - h + o**2 + o**3 wrt o?
6
Suppose 8*p - 4*p = 0. Let l(t) be the second derivative of p*t**4 + 0*t**5 - 1/3*t**3 + 0 + 1/15*t**6 + t + 0*t**2. Find the second derivative of l(d) wrt d.
24*d**2
What is the third derivative of 0*h**6 + 3*h**6 + h**6 - 6*h**6 + 4*h**2 wrt h?
-240*h**3
Let i = -6 - -6. Suppose -5*b + 10*b = i. What is the second derivative of 2*f**2 + b*f**2 + 3*f - 3*f**2 + 0*f**2 wrt f?
-2
Let q(d) be the first derivative of 0*d**3 - 6*d + 3/2*d**4 + 0*d**2 - 7. Differentiate q(b) with respect to b.
18*b**2
Let l = -2 + 5. What is the first derivative of -1 - 4*i**2 - l*i**4 + 4*i**2 wrt i?
-12*i**3
Find the first derivative of -10 - 5*o**4 - 8 + 22 wrt o.
-20*o**3
Let n(k) be the first derivative of 7*k**6/3 + 7*k**3/3 - 19. What is the third derivative of n(w) wrt w?
840*w**2
Suppose 0*m + m - 2 = 0. What is the third derivative of 2*t**2 - t**5 - 2*t**5 - 7*t**m wrt t?
-180*t**2
Let t(l) = -18*l**5 - 3*l**3 - 18*l**2 + 3*l + 3. Let s(a) = a**3 + a**2 - a - 1. Let q(r) = -3*s(r) - t(r). What is the third derivative of q(c) wrt c?
1080*c**2
What is the second derivative of 12*i**3 + 3*i - 3*i**3 - 11*i wrt i?
54*i
Let i(p) = p**2 - 5*p + 6. Let x be i(4). Suppose -x*k = -0*k. Find the third derivative of -2*s**2 + 0*s**2 + k*s**2 + s**4 wrt s.
24*s
Let m(n) be the first derivative of 0*n**3 + 0*n**2 - 1/2*n**4 + n + 2. What is the first derivative of m(c) wrt c?
-6*c**2
Find the first derivative of t**4 - 308 + 317 + 37*t**4 wrt t.
152*t**3
Suppose 26 - 1 = -5*d. Let j = 7 + d. Differentiate 1 + 5 - 3*r - 5 + j with respect to r.
-3
Let r(t) = -t**4 + t**3 - t + 1. Let b(w) = -15*w**4 + 2*w**3 - 7*w + 2. Let o(x) = -b(x) | {
"pile_set_name": "DM Mathematics"
} |
450 or -1488455?
-1488455
Is 70812759 at least 70812759?
True
Is 215364.82 smaller than -2?
False
Is -1 at least as big as -2/78546347?
False
Which is bigger: 1286676/4535 or 285?
285
Is -6.222 less than 0.07555?
True
Is -20/2489687 smaller than 0?
True
Which is greater: 1 or 16/14319613?
1
Which is greater: -3728/35163 or 0?
0
Is -143301 greater than or equal to -143306?
True
Is -1/126039 not equal to -13/15?
True
Are 26807548 and 26807539 equal?
False
Do 55062 and 234 have different values?
True
Which is greater: -4.40805 or -225?
-4.40805
Which is smaller: 1198 or 1904?
1198
Do 307513 and -34 have the same value?
False
Do -7/1004 and 5369 have different values?
True
Do 0 and 154/1675017 have different values?
True
Which is bigger: 22459 or -3/368?
22459
Is 0 < 2/7330991?
True
Which is smaller: 2383336/5 or 476668?
2383336/5
Which is greater: 3617 or 235197/65?
235197/65
Which is smaller: -9554242/13 or -734941?
-9554242/13
Is -3447.885 bigger than 0.015?
False
Is 12/1202195 at most as big as 4?
True
Is 77085752 > 77085751?
True
Which is smaller: 1 or -1173/26228?
-1173/26228
Which is bigger: 1 or 15/1624468?
1
Which is smaller: -2212 or -6778?
-6778
Which is smaller: 1 or -2/81761023?
-2/81761023
Is 0.2 bigger than 54490571?
False
Is -9468 smaller than -21175?
False
Is 425532633/5 at least as big as 85106526?
True
Is 4575534/13 equal to 351963?
False
Which is bigger: 40513740 or 40513741?
40513741
Do -21044007 and -21044003 have the same value?
False
Which is bigger: -1297220 or -1297224?
-1297220
Is 2/1016707 < -1?
False
Is 18920/571 smaller than -6.6?
False
Is 748/688113 at most as big as -1?
False
Is -169/449129 < 1?
True
Which is greater: -3397/5108 or -2?
-3397/5108
Which is greater: -68923 or -68898?
-68898
Which is smaller: -4216292/13 or -0.2?
-4216292/13
Which is greater: 18004 or -122/11?
18004
Which is greater: 595030 or 594961?
595030
Which is smaller: 5/744 or 15963/7?
5/744
Which is bigger: 964996515/11 or 87726955?
964996515/11
Is -669 equal to -2/2007571?
False
Which is greater: -1.1 or 521.968?
521.968
Which is smaller: 29439949 or 29439948?
29439948
Which is greater: 23/5290447 or 1?
1
Is 734 < -22?
False
Which is greater: -1951840/157 or -0.1?
-0.1
Which is bigger: -300148 or -300091?
-300091
Which is smaller: 0.054891 or 567?
0.054891
Which is smaller: -278 or 72614?
-278
Is 4989763 < 4989761?
False
Are -64260 and -64229 equal?
False
Is 151056 != -23?
True
Is -217 at least 23823?
False
Which is smaller: 3892689 or 3892638?
3892638
Does -3 = -18369/4609?
False
Which is smaller: 1 or 2040/91597?
2040/91597
Is -195701 less than -195150?
True
Which is smaller: -129605/3722 or -34?
-129605/3722
Is 1 greater than 2/59114673?
True
Is 2959883 bigger than 2959734?
True
Which is greater: -34195988 or -34195989?
-34195988
Which is smaller: -143113061 or 1?
-143113061
Is 0.1 < 26403.4483?
True
Is 29163860/93 >= 313590?
False
Which is smaller: 281734306/3 or 93911434?
93911434
Is -30.73 less than 13583?
True
Which is smaller: 34531291 or 34531293?
34531291
Is -21 > -0.06602?
False
Which is smaller: 74583315/4 or -0.1?
-0.1
Which is bigger: 10/11 or -4665/43?
10/11
Do 0.422403 and -32/5 have the same value?
False
Which is smaller: -2711330 or -2711334?
-2711334
Is -1 at least as big as -1/375579745?
False
Is -5/3623897 < -1?
False
Is -449646605 at most as big as -449646606?
False
Which is bigger: 2829427 or 2829450?
2829450
Which is smaller: -228146 or -228251?
-228251
Is -2409 <= -2115983/878?
False
Which is bigger: 1.0688 or 0.1491?
1.0688
Is 824811 equal to -20?
False
Is 25/3 <= -2.25844?
False
Which is smaller: -538/322331 or 0?
-538/322331
Which is smaller: 20 or -176996/19?
-176996/19
Is 11/6726018 at least as big as -1?
True
Which is smaller: 1 or -14/241367781?
-14/241367781
Which is greater: -1005825 or -1006526?
-1005825
Which is greater: 427 or 1326/49?
427
Is 4/5151059 bigger than -1/4?
True
Which is smaller: -116034749 or -116034750?
-116034750
Is 17342 greater than 16480?
True
Is 0 greater than -309/1978739?
True
Which is smaller: -55346701/8 or -6918338?
-6918338
Which is smaller: 0.049 or -51/806?
-51/806
Which is bigger: -2850087 or -2850091?
-2850087
Which is smaller: 952068 or 952096?
952068
Which is smaller: 115202606 or 115202607?
115202606
Which is smaller: 26510 or 22667?
22667
Which is smaller: -36063 or -6335?
-36063
Which is greater: -4702/276471 or -1?
-4702/276471
Is -17528652 at least as big as -17528652?
True
Is 2/14741485 smaller than 1?
True
Which is smaller: -0.15 or 0.2659058?
-0.15
Which is smaller: 726/252629 or 0?
0
Do 141/21292 and 0 have different values?
True
Which is greater: -6378/2719 or -2?
-2
Which is smaller: 132128 or 131068?
131068
Which is greater: 1176187 or 1176261?
1176261
Is -429122774 less than -429122776?
False
Are 1451568 and 4/7 equal?
False
Which is bigger: -17303/411 or -42?
-42
Which is greater: -41089 or 1.713?
1.713
Is -19002.76 smaller than -1/3?
True
Is 0 at least -2/17508377?
True
Which is bigger: 0 or -3/435072361?
0
Which is smaller: -3976 or 386?
-3976
Is 950 <= 168176/177?
True
Which is greater: -853878621 or -853878623?
-853878621
Which is bigger: -3229497 or -3229495?
-3229495
Which is smaller: 47.54 or -1/35782?
-1/35782
Is 4/705 >= -5108?
True
Is 1 less than or equal to -126695284?
False
Is -1500 at most 2369?
True
Which is greater: -189 or -1290447?
-189
Are 1 and -58/16005783 nonequal?
True
Which is bigger: -1 or 2/112093057?
2/112093057
Which is bigger: -2514914 or -2514912?
-2514912
Is -8332/2721 < -4?
False
Which is bigger: -1497857 or -1497860?
-1497857
Is 3167551 at least 3167607?
False
Is -41126 bigger than 253/14?
False
Which is bigger: -29 or 0.135313?
0.135313
Which is bigger: 0 or -54/11565151?
0
Which is smaller: 0 or -23/132185383?
-23/132185383
Which is bigger: -479469 or -479501?
-479469
Which is greater: -2/666439351 or 0?
0
Is 0.03 > -0.0289978?
True
Which is bigger: 11/4 or -2217694?
11/4
Which is smaller: -0.1 or -12644497?
-12644497
Are 21 and 125304/6301 nonequal?
True
Do -3/1489 and -0.247 have the same value?
False
Which is smaller: 11/101 or -24/301?
-24/301
Is 24 less than 20427943?
True
Which is bigger: -2 or -21715/11477?
-21715/11477
Is -433577 greater than or equal to -433615?
True
Which is bigger: -2417/80949 or 0?
0
Which is smaller: 99187325 or 99187326?
99187325
Which is smaller: -17/13293884 or 0?
-17/13293884
Is -491411 less than or equal to -61?
True
Which is smaller: 3/14224390 or 0?
0
Which is smaller: 22674285 or 22674280?
22674280
Does -787425 = 9?
False
Which is smaller: -204500 or -968?
-204500
Which is bigger: 3807/23716 or -1?
3807/23716
Which is smaller: 16 or 436477?
16
Is 1627 >= 203/123?
True
Is -665/57336 at least -1?
True
Is -1472062/9 greater than -163561?
False
Which is bigger: 11615375 or 11615373?
11615375
Which is smaller: 2642/437 or -18?
-18
Is 100557 less than or equal to 100590?
True
Is 3890731 at most as big as 3890730?
False
Is -8979515 greater than or equal to -8979663?
True
Is 1749357829 <= 1749357829?
True
Which is bigger: 27888 or 1338595/48?
27888
Do 1 and 10/36915391 have different values?
True
Do 5683/30 and 110.7 have the same value?
False
Which is greater: -14724506/9 or -1636055?
-1636055
Which is smaller: 0.2 or 748789/8?
0.2
Which is smaller: 8186889/17 or 481583?
8186889/17
Is -2225509/5 greater than or equal to -445103?
True
Is 753/3235 less than 1?
True
Is 212788616 greater than or equal to 212788615?
True
Which is smaller: 1 or 615/656428?
615/656428
Is -1 < 4079/12985?
True
Is -1483119/53 at least -27982?
False
Which is greater: 57930/173 or 334?
57930/173
Is 3638070 <= -1?
False
Is 2.888922 less than or equal to 29?
True
Which is bigger: 2867.63783 or -0.2?
2867.63783
Is 0.1773597 >= 27?
False
Which is greater: 0 or -25/37149978?
0
Do 18910 and 19334 have the same value?
False
Is 1242 smaller than -19358?
False
Are -18313 and -18434 non-equal?
True
Which is greater: -8429.8553 or 0?
0
Which is smaller: -14778 or 11/61?
-14778
Which is greater: -16657 or -16751?
-16657
Which is smaller: -45020 or -2656247/59?
-2656247/59
Is -696609 <= -696712?
False
Which is bigger: -1 or -15/43463294?
-15/43463294
Which is bigger: -10/197497 or 1?
1
Which is greater: 57223406 or 400563832/7?
5722 | {
"pile_set_name": "DM Mathematics"
} |
2*v - 4. Determine q(1).
8
Let f(x) = -x**2 + 4*x + 1. Let n(t) = -5*t. Let o be n(-1). Suppose -5*c = o*g + 10, 5*g + 40 = 4*c + c. Let k = g + 8. Calculate f(k).
4
Suppose -4*o - 4 = -5*a + 10, 3*o + 22 = -2*a. Let p(m) = 3*m**2 + m**2 - 5*m**2 - 6*m + 6. What is p(o)?
6
Let j(c) be the third derivative of -c**4/24 + c**3/2 - c**2. What is j(0)?
3
Let r = -18 - -31. Let m(h) = -4*h**2 + 3*h**2 - 2*h - 18 + 7 + r. What is m(-4)?
-6
Let l(n) = -n + 1. Let w(i) = -8 + 7 - i**2 + 6*i - i + 2*i**2. Let b be w(-4). Determine l(b).
6
Let q(j) = -2*j**3 + j**2 + j. Let n(l) = 3*l**3 - l**2 - l. Let t(p) = -3*n(p) - 5*q(p). Let o = 6 - 4. Suppose o*x + 2 = -2. Determine t(x).
-12
Suppose -5 = -4*x - 3*j + 5, -3*j = x - 7. Let u(r) = 14*r**3 - r**2 + r - 1. What is u(x)?
13
Let f(k) be the second derivative of k**5/20 + k**4/2 + k**3/6 + 3*k**2 + 24*k. Determine f(-6).
0
Let w(j) = -j**3 - 4*j**2 - 2*j + 3. Let r be w(-3). Let y(k) be the first derivative of 1/2*k**2 + 7*k + 0*k**3 - 1/4*k**4 + 1. What is y(r)?
7
Let c(y) = -3*y**2 + 1. Let t(j) = -j**2 + 1. Let a(p) = -c(p) + 4*t(p). Determine a(0).
3
Let q(z) = 0*z - 4*z + 1 + 2*z. Suppose -4*m = 2*h - 3*m - 10, -5*m - 6 = -4*h. What is q(h)?
-7
Let w(b) = 2*b - 7. Let l(q) = q**3 - 2*q**2 + q + 4. Let n be l(2). Give w(n).
5
Let v be 2*-26*(-1)/4. Let n(d) = -v*d + 12*d + 1 + 2 + 0. What is n(-3)?
6
Let r(c) = -6*c + 10*c + 1 - 2*c**3 + c**3 - 3*c**2 - c**2. Determine r(-5).
6
Let n(w) be the second derivative of -19*w**4/12 - 11*w. Determine n(-1).
-19
Let l(o) be the third derivative of -3*o**6/40 - o**5/30 - o**4/12 - o**3/6 - 12*o**2. Determine l(-1).
8
Let n be (-17)/3*(-12)/4. Let m = n + -11. Let h(c) = c**2 - 3*c - 6. Give h(m).
12
Let t(o) = -10*o - 22. Let w(f) = 7*f + 15. Let q(k) = 5*t(k) + 7*w(k). Give q(-6).
1
Let c(v) = -v**2 + 2*v - 1. Let p(g) = -g - 8. Let m be p(-9). What is c(m)?
0
Let a(j) = -j - 1. Let q(w) = 4*w + 5. Let x = 17 - 20. Let o(n) = x*a(n) - q(n). Suppose l + 15 = 4*l. Give o(l).
-7
Let i(q) be the third derivative of -q**6/120 - q**5/60 - 7*q**3/3 - 4*q**2. Determine i(0).
-14
Let w(y) = -y**2 - 5*y + 2. Let c be w(-4). Let p(i) = i**2 - 7*i + 6. What is p(c)?
0
Let j be 160/10*2/4. Let i(b) = b**3 - 8*b**2 + 2. Give i(j).
2
Let s be 210/28*(-8)/10. Let o(l) be the second derivative of l**5/20 + l**4/2 + l**3/6 + 2*l**2 + l. Give o(s).
-2
Let y(l) be the second derivative of 3*l - 3/2*l**2 + 0 + 1/6*l**3. Suppose 20 - 8 = 4*b. What is y(b)?
0
Suppose 0 = -f + 1 - 3. Let n(u) = -u**2 + u - 1. Determine n(f).
-7
Suppose -1 = t + x - 6, 3*t = 3*x - 3. Let v(h) = -t*h - h + 0*h. Suppose 0 = 3*a + 3*f + 8 + 1, a = 2*f + 9. Determine v(a).
-3
Let g(r) = -9*r. Let y(t) = t**3 - 2. Let i be y(0). Let h be g(i). Let f be -1 + 1 + h/6. Let n(v) = v**3 - 3*v**2 + v + 1. Give n(f).
4
Let w(y) = 7*y**3 - 2*y**2 + 2*y - 1. Let p be 10*(-1 + -1)/4. Let c = -4 - p. Determine w(c).
6
Let j be 6 - 9 - 1*2. Let l(v) = v + 1. Let g(f) = -4*f - 10. Let w(q) = j*l(q) - g(q). Determine w(7).
-2
Suppose -c = -3*c. Let j be c - (1*-7 - -2). Let f(l) = -5 + 5*l + j. What is f(2)?
10
Suppose 0*a + 14 = -2*a. Let v = a + 9. Suppose -o + 1 = v*j - 1, 0 = -2*o + 4. Let r(d) = d**3 + d - 9. Determine r(j).
-9
Let r(c) be the second derivative of -2*c**4/3 + c**3/6 - c. Suppose -4*l - l = -4*p + 9, 4*p - l = 5. What is r(p)?
-7
Let u(j) = -j + 16. Suppose 0 = -2*z + 4*o + 3 + 9, 4*z = -4*o - 12. Determine u(z).
16
Let f(q) = -5*q**3 + 4*q**2 - 20*q - 26. Let m = -15 + 18. Let l(p) = -2*p**3 + p**2 - 7*p - 9. Let o(n) = m*f(n) - 8*l(n). Let z = -1 + -3. What is o(z)?
10
Let i(l) be the third derivative of -l**5/60 - l**4/4 - l**3/3 + 75*l**2 - 1. Suppose 4*o = 5*p - 29, 0 = -o - 2*o + 3*p - 21. Give i(o).
-2
Let q(l) = l - 4. Let y be (1 - 1)/(-20 + 19). What is q(y)?
-4
Let h(l) = l**2 + 3*l + 1. Suppose -u = -2*a + 4*u + 29, -5*a = 4*u + 10. Let k(g) = -g**a - 4 - g + 0*g**2 - 3*g + 3*g. Let b be k(0). What is h(b)?
5
Let f(k) = k**3 + 6*k**2 + 4*k + 6. Let q(y) = 5*y**3 - 2*y**2 + 1. Let d be q(1). Suppose 2*l + h + h = -20, d*h + 20 = 0. What is f(l)?
11
Let s(q) = q**3 + 4*q**2 + 2*q + 1. Let i be s(-3). Let t = i + -2. Let f(h) = -5*h + 3*h**t - 4 - 4*h**2 - h. What is f(-4)?
4
Let m be 1/(-2)*(4 - -2). Let n(w) = 4*w**3 - 9*w**2 - 4*w + 9. Let a(l) = -3*l**3 + 8*l**2 + 3*l - 8. Let x(u) = 5*a(u) + 4*n(u). Calculate x(m).
8
Let a be ((-2)/5)/((-12)/10). Let i(d) be the second derivative of 0 + 1/6*d**3 - 2*d + 2*d**2 + a*d**4 - 1/20*d**5. What is i(4)?
8
Let u(h) = 3*h**2 - 2*h + 1. Let c = -8 - -8. Suppose 5*p - 7*p - 2 = c. Let x(o) = -2*o**3 + o. Let q be x(p). Give u(q).
2
Let c(u) = -3*u + 1. Let x(m) = -10*m + 4. Let s(r) = 7*c(r) - 2*x(r). Let a be ((-5)/2 - -2)*-6. What is s(a)?
-4
Suppose 10 = m - 2. Let i = m + -15. Let v(l) = l. Calculate v(i).
-3
Suppose -11*p + 6 = 50. Let c(l) = 3*l + 1. Let j(s) = 7*s + 2. Let t(v) = 9*c(v) - 4*j(v). Give t(p).
5
Let a(u) be the second derivative of -1/6*u**4 + 2*u**2 + 0 - 2/3*u**3 - 5*u. Calculate a(-4).
-12
Let q(m) be the third derivative of -m**5/60 + 7*m**4/24 + 7*m**3/6 - 6*m**2. Determine q(7).
7
Let x(t) = -2*t - 12. Suppose 4*p + 42 = -2*h, 0*h + 23 = -p - 3*h. Determine x(p).
4
Suppose -15 = 3*o + 3*f, -5*f - 9 = 2*o + 4. Let r(y) = y**3 + 5*y**2 + 7*y + 4. Give r(o).
-8
Suppose -3 + 7 = -4*v + 4*x, 5*x + 45 = -5*v. Let p(m) = 5*m**2 - 9. Let f(l) = -3*l**2 + 6. Let w(y) = v*p(y) - 8*f(y). Give w(0).
-3
Let a = -21 + 21. Suppose -s + 3*s + 10 = a. Let f(k) be the first derivative of -k**2 - 7*k + 1. Give f(s).
3
Let g(o) = -o**3 - 7*o**2 - 8*o - 9. Let t be g(-6). Suppose -2*a = t*a - 5. Let k(s) = -7*s - 1. Give k(a).
-8
Let p = -13 + 7. Let i(f) = -2*f - 1. Give i(p).
11
Let o(a) = -a**2 + a - 1. Let h(k) = -16*k**2 + 5*k - 4. Let d(z) = h(z) - 5*o(z). Determine d(1).
-10
Let k(o) = -3 - 6*o - 3 - 1 - o**2. Give k(-6).
-7
Suppose 0*u = -4*u - 3*m + 15, 5*u - 20 = -5*m. Let a(g) = g**2 + g. Give a(u).
12
Suppose 5*y - 12 = -3*h + 2*y, 5*h - 23 = -2*y. Suppose 5 = 5*w - h. Let o(x) = -2*x**2 + 3*x - 3. Calculate o(w).
-5
Let u(j) = j + 3. Let x(t) = 1. Let l(c) = u(c) + 2*x(c). Let b be l(-5). Suppose b*d = d - 4. Let z(g) = 2*g - 5. What is z(d)?
3
Let p(z) = 4*z**3 + 11*z**2 + 2*z - 6. Let v(t) = 5*t**3 + 12*t**2 + t - 6. Let w(r) = -6*p(r) + 5*v(r). Let b be -1*28/(-8)*2. Determine w(b).
6
Let o(j) = 6*j**2 - j + 2. Let m(s) = -24*s**2 + 5*s - 9. Let u(i) = 2*m(i) + 9*o(i). What is u(-1)?
5
Let o(u) = 3*u**2 - 1 - 6*u**2 - 2*u + 0 + 2*u**2. What is o(-1)?
0
Let h(o) = -o + 7. Suppose -3*a - 10 = 4*y, 2*y = -2*a + 2 - 10. What is h(a)?
13
Let g be (8 + -4)*(-5)/(-4). Suppose 10*m - g*m = 10. Let x(l) = -4*l**m + 3 + 5*l**2 - 7 + 0*l**2. Calculate x(-3).
5
Let w = 3 + 1. Suppose w*r + r = 5. Let g(a) = -19*a**2 + 3. Let s(c) = -13*c**2 + 2. Let j(t) = 5*g(t) - 7*s(t). Determine j(r).
-3
Let t(p) = 0*p**2 + 3*p**2 + 8*p - 5 - 4*p**2. Suppose -i = -0 - 2. Suppose 2*k = 2*j - 4 + 2, i*j + 4 = 4*k. Calculate t(j).
11
Suppose -4*t - 3 = -u, 0 = 3*u + 2*t + 3 - 12. Let m(q) be the second derivative of 0 + q**2 - 2*q + 1/6*q**3. Determine m(u).
5
Let p be 10*1/(-4)*(3 + -1). Let u(w) = -14*w**2 - 26*w + 5. Let d(s) = s**2 - 14*s + 5*s - 6*s**2 + 2. Let k(x) = -11*d(x) + 4*u(x). Give k(p).
-2
Let j(k) = k**3 + 4*k**2 + 2*k - 2. Let q = -1 - -4. Suppose q*i = -d + 2*d - 5, -5*i = 4*d + 14. Let n = -1 + d. Give j(n).
2
Let s(i) = 7*i**3 - 7*i**2 - 8*i + 3. Let k(r) = 15*r**3 - 14*r**2 - 16*r + 6. Let a(t) = 6*k(t) - 13*s(t). What is a(8)?
-3
Let v(z) be the third derivative of 0 - 2*z**2 - 1/6*z**3 + 0*z + 5/24*z**4 - 1/120*z**6 + 1/15*z**5. Give v(5).
-1
Let q(w) be the third derivative of -w**6/120 + w**5/12 - 5*w**4/24 - 2*w**3/3 - 10*w**2. Determine q(4).
-8
Let a(p) = -p**2 - 4*p + 1. Let b be a(-4). Let t be (2 + -1)/(b*-1). Let v(o) = -o**2 - 1. Let q be v(t). Let x(j) = -2*j. Determine x(q).
4
Let d(p) = -p**2 - 4*p - 4. Let o(k) = 4*k + 4*k + 4 - 7*k. Let v be o(-8). What is d(v)?
-4
Suppose 183 = -0*t - 5*t - 2*o, -5*t = -2*o + 167. Let d be 6/2 - t/(-7). Let x(p) = 2*p. Calculate x(d).
-4
Let a(u) be the second derivative of u**6/360 + u**5/60 - u**4/12 - 3*u. Let r(t) be the third derivative of a(t). Give r(-2).
-2
Let a( | {
"pile_set_name": "DM Mathematics"
} |
lest value? (a) 0.321 (b) -2 (c) 2
c
What is the second smallest value in -0.3, 1/2, 4, -28/5, 2?
-0.3
What is the biggest value in 0.2, 0.3, 11, 4, -2?
11
Which is the second smallest value? (a) 8/17 (b) -3 (c) -1
c
Which is the smallest value? (a) 1 (b) 1/7 (c) -2 (d) 0.1 (e) 2/5
c
What is the third smallest value in 89, -0.4, -0.5?
89
What is the second smallest value in 1, 4, 0.06, 2, -0.13?
0.06
What is the second biggest value in 1/2, 3/4, -0.1, 44, 2/17?
3/4
What is the second biggest value in 3, -0.08, -3?
-0.08
What is the third smallest value in -3, 1188, 4?
1188
What is the second smallest value in -3, 4, 3?
3
Which is the biggest value? (a) -1 (b) 4/5 (c) 1.5 (d) -1/3
c
Which is the fourth biggest value? (a) 2/5 (b) -0.37 (c) 5 (d) 2
b
What is the biggest value in 0.2, 11/5, -0.2, -1, 0.47?
11/5
Which is the fourth smallest value? (a) 2 (b) -13 (c) 2/11 (d) -2/11
a
What is the second biggest value in 0.4, 3, -405, 0.1?
0.4
What is the smallest value in -3, 34, 6/13?
-3
Which is the biggest value? (a) 0.3 (b) -2 (c) 1/4 (d) -0.1 (e) 25
e
Which is the third biggest value? (a) -2/69 (b) 3 (c) 8
a
What is the second biggest value in 0.1, 0, -0.03, -0.4?
0
Which is the second smallest value? (a) -0.2 (b) -41 (c) -6 (d) 0 (e) -2
c
Which is the second smallest value? (a) 0.2 (b) 19/5 (c) 4 (d) -2
a
What is the fifth biggest value in 7.2, -0.7, 2, 2/23, 0?
-0.7
What is the fifth smallest value in -21, 0.1, -5, 2, -2?
2
What is the biggest value in -0.1, 11/6, 0?
11/6
Which is the third smallest value? (a) 5.2 (b) 0 (c) 46
c
What is the third smallest value in -3/7, 27, -2/15?
27
What is the third biggest value in -16, -0.3, 23, 0?
-0.3
Which is the third biggest value? (a) -3 (b) -1 (c) 213 (d) 1
b
Which is the fourth biggest value? (a) 2/7 (b) 2 (c) -14 (d) 2/15
c
What is the biggest value in -2, 5, 58?
58
What is the second smallest value in 3, 0.2, 47, 2?
2
What is the biggest value in 5, 4, 3, -340/9?
5
What is the smallest value in 0.2, 0.5, -0.375, -3?
-3
Which is the fourth biggest value? (a) -1/6 (b) 0.1 (c) 16 (d) 0.3
a
What is the fourth biggest value in -2/21, 1/38, 1/7, 5?
-2/21
What is the second biggest value in 8, 2, -0.3, 4?
4
Which is the fifth smallest value? (a) 2 (b) 0 (c) 2/7 (d) 6 (e) -2
d
Which is the fifth biggest value? (a) 1 (b) 0 (c) -4 (d) 0.7 (e) 3
c
What is the third biggest value in -2, -23, 1.4?
-23
Which is the second biggest value? (a) -5/3 (b) 2 (c) -976
a
What is the fourth smallest value in -3/8, 1, 3, -55?
3
What is the smallest value in -2, 5, -10, -4?
-10
Which is the third biggest value? (a) -2/3 (b) 3/5 (c) 1/14
a
What is the second biggest value in -1/4, 5, -0.1, 3, -3?
3
Which is the third biggest value? (a) -7 (b) 0.2 (c) -4/7 (d) -1/5 (e) 19
d
What is the biggest value in -0.055, 4, -0.4, -16?
4
Which is the third biggest value? (a) 3/7 (b) 2/163 (c) -0.4
c
What is the smallest value in 1, 3/5, 0.3, -4/179?
-4/179
What is the fourth smallest value in -4, -3, -5, 2/3?
2/3
Which is the third biggest value? (a) -4 (b) -2/5 (c) -396
c
Which is the second biggest value? (a) -60 (b) -4/7 (c) -5/2
c
Which is the biggest value? (a) -10.18 (b) -0.4 (c) 1
c
Which is the smallest value? (a) 8 (b) 4 (c) -2 (d) 1
c
What is the third biggest value in 3, -2, 0.09, 3/8?
0.09
What is the smallest value in 2/21, 3, 0, -9?
-9
Which is the third smallest value? (a) -73 (b) 5/6 (c) 2 (d) -1/4
b
Which is the second smallest value? (a) 85 (b) 21 (c) 4
b
What is the third smallest value in 2/15, -1/3, 1, -0.5?
2/15
What is the fourth smallest value in -2, 0.2, -1, -0.4?
0.2
What is the biggest value in -3, 18, 2/73, 2?
18
What is the smallest value in 2/9, 0.4, -13?
-13
What is the third smallest value in -0.38, 0, 3/5, 0.1?
0.1
What is the fifth biggest value in -0.05, -0.7, -0.4, -0.3, 0?
-0.7
Which is the second biggest value? (a) 0.4 (b) -2/11 (c) 183
a
Which is the fourth biggest value? (a) -27 (b) -4/5 (c) -25 (d) -1
a
What is the second biggest value in -73, 0.3, -1/7, -0.3?
-1/7
Which is the smallest value? (a) 0.0039 (b) -3/2 (c) 3/37
b
Which is the third smallest value? (a) -0.07 (b) 2/5 (c) -1/8 (d) 0.07
d
What is the biggest value in 1/3, -147, -5, -0.5, -1?
1/3
What is the third biggest value in -31/3, -3, 0?
-31/3
Which is the biggest value? (a) 1 (b) 0.04 (c) -0.5 (d) 3 (e) 5
e
Which is the biggest value? (a) 2/3 (b) 3/2 (c) -62
b
Which is the biggest value? (a) 1 (b) 14/5 (c) 27 (d) -0.06
c
Which is the third smallest value? (a) -4 (b) 1/5 (c) -0.062
b
Which is the third biggest value? (a) 8/3 (b) 3 (c) 1 (d) -3
c
Which is the third biggest value? (a) 2/15 (b) 5 (c) 0.2 (d) 0.5
c
What is the third biggest value in -6, 0.2, -46/5, 0.3?
-6
What is the third biggest value in -7, -0.5, -2/13, -30, 2?
-0.5
What is the third smallest value in 4, -1/6, 6, 24?
6
Which is the fourth smallest value? (a) 0.22 (b) -0.5 (c) 3 (d) 4
d
Which is the third biggest value? (a) -5 (b) 4 (c) 2/7 (d) -4/7
d
What is the smallest value in -1, 2, -16, -3/4, 1/29?
-16
What is the fifth smallest value in 3/4, 2, 0.04, -1, 5?
5
Which is the third biggest value? (a) 1/3 (b) 3 (c) 59 (d) -2
a
What is the second biggest value in -0.03, -11/8, -1, 1/2?
-0.03
What is the third biggest value in 2, -8/7, -6, -1/4, -4/3?
-8/7
What is the third biggest value in -18, -0.3, -2, -4?
-4
Which is the third smallest value? (a) 1.2 (b) 5 (c) -1.1
b
What is the third smallest value in -23, 3/4, -5, -0.05?
-0.05
What is the third biggest value in -2/7, 9, 0.2, 2/11?
2/11
Which is the second biggest value? (a) 0.2 (b) -869 (c) 1/8
c
Which is the biggest value? (a) -2/11 (b) 1/5 (c) 0.1 (d) 28
d
Which is the third smallest value? (a) 1/8 (b) -2/13 (c) -2/5 (d) 1/4 (e) 2
a
What is the third smallest value in -5, -0.1, 5?
5
What is the biggest value in -0.1707, 3/5, 1/2?
3/5
Which is the third smallest value? (a) -25 (b) -3/2 (c) -3/8 (d) 10 (e) 3
c
Which is the third biggest value? (a) 2 (b) -6.3 (c) 1
b
What is the biggest value in -0.5, -18, 0.3, 2/5?
2/5
Which is the second biggest value? (a) 0.81 (b) 5 (c) -0.2
a
What is the fourth biggest value in -2/21, 0.3, 4, 0.09?
-2/21
Which is the fourth smallest value? (a) -2/327 (b) -0.4 (c) -0.5 (d) 0.2
d
Which is the second biggest value? (a) -3 (b) 1 (c) -1/13 (d) -0.3 (e) 0.2
e
What is the biggest value in -3, -0.7, -2, 2/13, -6?
2/13
Which is the second smallest value? (a) -7 (b) 51 (c) -0.5 (d) 0.4
c
Which is the fifth biggest value? (a) -1/3 (b) 4/5 (c) -1/2 (d) -2/27 (e) 1/4
c
What is the second biggest value in 2/3, 0.31, 1?
2/3
What is the second biggest value in -5, -2.2, -5/3?
-2.2
Which is the second smallest value? (a) -1 (b) 4/11 (c) -2 (d) 0
a
Which is the second biggest value? (a) -1 (b) -0.171 (c) 0.02
b
Which is the second biggest value? (a) 3 (b) 248 (c) 0.2 (d) -1
a
Which is the fourth smallest value? (a) -0.5 (b) 0 (c) -1/57 (d) -2/11
b
What is the third smallest value in -0.4, 64, 2/5?
64
Which is the smallest value? (a) -1/258 (b) 0 (c) 3/8
a
What is the third smallest value in 0, -1/8, 1753?
1753
What is the smallest value in -0.2, -66, 0.4?
-66
Which is the fourth smallest value? (a) -2 (b) -0.3 (c) -26 (d) 0
d
Which is the second smallest value? (a) -1/419 (b) -0.2 (c) 4
a
What is the second smallest value in 7/4, -1/23, 0?
0
Which is the biggest value? (a) -0.3 (b) 0.5 (c) 1/4 (d) -13 (e) -2
b
Which is the third smallest value? (a) 0.2 (b) -1 (c) -1/69
a
Which is the fifth smallest value? (a) -6 (b) -2/121 (c) -0.2 (d) -3 (e) 2
e
What is the third smallest value in 3, 0.31, -1.5?
3
Which is the biggest value? (a) 42 (b) 11 (c) 2/3 (d) -1/4
a
Which is the fifth smallest value? (a) -0.5 (b) 2/9 (c) -6 (d) -0.04 (e) -0.02
b
What is the second smallest value in 3.9, 18, -0.5?
3.9
Which is the fifth biggest value? (a) -1 (b) 1 (c) 0.1 (d) 4/3 (e) -24
e
What is the fourth biggest value in 1, 2/9, 0, -7?
-7
What is the second biggest value in -204, -4, 1/5, -0.1?
-0.1
What is the third biggest value in -4, 1, 0, -2/7?
-2/7
Which is the thi | {
"pile_set_name": "DM Mathematics"
} |
196*k + 76. What is f(x) + 6*r(x)?
-32*x + 58
Let h(x) = -182*x + 107. Let i(v) = -61*v + 39. Let t(b) = -3*h(b) + 8*i(b). Let l(n) = 29*n - 4. Determine -9*l(k) + 4*t(k).
-29*k
Let q(t) = -13*t - 5*t + 6 - 11*t. Let g(v) = -9*v - 7. Let w(n) = -8*n - 5. Let h(d) = -6*g(d) + 8*w(d). Calculate -17*h(r) + 6*q(r).
-4*r + 2
Let g(p) be the third derivative of -p**4/4 - p**3/3 + 3*p**2. Suppose 4*i + 11 = -3*k, -471 = 5*i - 2*k - 463. Let u(j) = 12*j + 5. Calculate i*u(a) - 5*g(a).
6*a
Let g(x) = -x**2 + x + 1. Let a(r) = 2*r**3 + 5*r**2 - 5*r - 25. Let t be a(2). Let y(v) = -7*v**2 + 6*v + 22. What is t*y(n) - 6*g(n)?
-n**2 + 16
Suppose n = 4*q - 3, -2*q + 19 = 7*n - 4*n. Let g(x) = -1 + 0 + q*x + 4. Let v = -2008 - -2002. Let t(l) = -l - 1. Determine v*t(p) - 2*g(p).
2*p
Let t(v) = -2*v**3 - 172*v**2 - 43*v + 8. Let u(y) = y**3 + 42*y**2 + 11*y - 2. Determine 2*t(b) + 9*u(b).
5*b**3 + 34*b**2 + 13*b - 2
Let h(a) = 14*a + 121. Let c(q) = 20*q + 119. Determine 2*c(g) - 3*h(g).
-2*g - 125
Let u(q) = -4*q**3 - 30*q. Let v(l) = 5*l**3 + 29*l. Let n = 1456 - 1453. Give n*v(x) + 4*u(x).
-x**3 - 33*x
Let x(n) = 625*n - 8. Let y(m) = -3132*m + 42. Give -16*x(u) - 3*y(u).
-604*u + 2
Let k(c) = -2*c**3 + 5*c**2 + 2*c - 2. Let a(t) = t - 9. Let l be a(13). Let v(b) = -8 + l + b**2 + 3. Suppose 7*d - 11*d - 20 = 0. Determine d*v(w) + k(w).
-2*w**3 + 2*w + 3
Let n(r) = 2*r**3 - 7*r**2 + 3*r + 3. Suppose 2 + 40 = 3*h. Suppose -h*m + 140 = -0*m. Let a(y) = -6*y**3 + 22*y**2 - 10*y - 10. Give m*n(b) + 3*a(b).
2*b**3 - 4*b**2
Let g(x) = x - 3. Let h(v) = -1104*v + 2 + 2213*v - 1108*v - 7 + 2. Determine 4*g(n) - 3*h(n).
n - 3
Let b(l) = 2*l - 7. Let m(v) be the second derivative of 3 - 1/2*v**2 + 1/6*v**3 - 9*v. Determine -b(y) + 3*m(y).
y + 4
Let d(i) = -22*i + 32. Let f(l) = 73*l - 95. Calculate -7*d(k) - 2*f(k).
8*k - 34
Let j(m) = 9*m**2 + 3. Let n(d) = -10*d**2 - 4. Suppose 103*w - 115*w = 36. What is w*n(g) - 4*j(g)?
-6*g**2
Let z(k) = -k**2 + 8. Let g(n) = 29622 + 29629 - 59252. Calculate 4*g(v) - z(v).
v**2 - 12
Let q(r) = r**3 + 5*r**2 + 9. Let o(k) = -k**3 - k**2 - 2*k - 2. What is -4*o(y) - q(y)?
3*y**3 - y**2 + 8*y - 1
Suppose 5*a - 5 = -25. Let p be (-2)/(a/10*(-10)/30). Let y(q) = 1. Let m(j) = -66*j - 15 + 28*j + 35*j. Calculate p*y(x) - m(x).
3*x
Let q(t) = 10*t**3 - 6*t**2 + 894*t - 21. Let m(o) = -7*o**3 + 4*o**2 - 596*o + 15. Determine -7*m(x) - 5*q(x).
-x**3 + 2*x**2 - 298*x
Let i(r) = -2*r**2 + 14*r - 9. Let o be i(6). Suppose -o - 6 = k. Let c(q) = -6*q - 3. Let s(h) = -13*h - 7. Calculate k*c(z) + 4*s(z).
2*z - 1
Let m(c) = -51*c**2 + 4*c - 14. Let f(y) = -5*y**2 + y. Calculate 6*f(z) - m(z).
21*z**2 + 2*z + 14
Let v(g) = 17*g**3 - 2*g**2 - 5*g + 4. Let d(z) be the first derivative of -9*z**4/4 + z**3/3 + 3*z**2/2 - 2*z + 7260. Give -7*d(q) - 4*v(q).
-5*q**3 + q**2 - q - 2
Let z(j) = 6*j**3 - 27*j + 10. Let s be z(2). Let h(g) = -4*g**3 - 5*g**2 - 4*g + 1. Let c(m) = -5*m**3 - 6*m**2 - 5*m. Calculate s*h(p) - 3*c(p).
-p**3 - 2*p**2 - p + 4
Let r(h) = -53*h**2 - 43*h + 9. Let m(p) = -27*p**2 - 19*p + 4. What is 7*m(d) - 3*r(d)?
-30*d**2 - 4*d + 1
Let g(u) = -40*u**2 + 57*u - 13. Let q(w) = 22*w**2 - 28*w + 8. Calculate 3*g(i) + 5*q(i).
-10*i**2 + 31*i + 1
Let m(z) = 24*z - 27663. Let n(p) = 10*p - 13832. Give -2*m(v) + 5*n(v).
2*v - 13834
Let v = -327 - -410. Let s(j) = -83 + 165 - v. Let q(p) = -p + 4. Determine q(d) + 5*s(d).
-d - 1
Let h(o) = -739*o + 12. Let r(b) = -2558*b + 42. Give -18*h(j) + 5*r(j).
512*j - 6
Let t(c) = -4*c + 15. Let i(u) = u - 1. Suppose -94*w + 57*w + 5 = 79. What is w*i(r) - t(r)?
2*r - 13
Let z(u) = -u - 8. Let x(t) = 157*t + 71. Give -2*x(r) - 18*z(r).
-296*r + 2
Let v(x) = 10*x. Let f be 16/24 - (1330/(-3) + (-2 - -4)). Let u(h) = -741*h. What is f*v(y) + 6*u(y)?
-26*y
Let n = 2838 - 2844. Let t(d) = 6*d - 7. Let o(k) = -12*k + 13. Give n*o(i) - 11*t(i).
6*i - 1
Let r(m) be the second derivative of -27*m**4 + 14*m**3/3 - 14*m**2 - 2730*m. Let z(g) = -59*g**2 + 5*g - 5. Calculate 5*r(h) - 28*z(h).
32*h**2
Let o(v) = -17*v**2 - 5*v. Let a(i) be the second derivative of -3*i**4/4 - i**3/2 - 11*i - 10. What is -5*a(u) + 3*o(u)?
-6*u**2
Let a(j) = -4*j**2 - 26*j + 38. Let f(m) = -2*m**2 - 14*m + 21. Calculate 3*a(b) - 5*f(b).
-2*b**2 - 8*b + 9
Let w(a) = 12. Let d(n) = 3*n**3 + 2*n**2 - 2*n - 46. Calculate d(m) + 4*w(m).
3*m**3 + 2*m**2 - 2*m + 2
Let s(k) = -10*k**3 - 3*k**2 - 2*k + 82. Let h(p) = -17*p**3 - 4*p**2 - 3*p + 85. Calculate 3*h(b) - 4*s(b).
-11*b**3 - b - 73
Let w(h) = -81*h - 326. Let d be w(-4). Let c(j) = -1. Let z(x) = -2*x - 6. Give d*z(q) + 14*c(q).
4*q - 2
Let j(a) = 6496*a - 31. Let l(t) = 3*t + 8. Determine -j(f) - 4*l(f).
-6508*f - 1
Let l(y) = 3*y**3 - y**2 - y + 4. Let u(t) = 8*t**3 - 3*t**2 - 2*t + 15. Give -2*l(k) + u(k).
2*k**3 - k**2 + 7
Let x(r) = 6*r**2 - 16*r + 8. Let k(j) = -4. Determine -2*k(o) + x(o).
6*o**2 - 16*o + 16
Let o(h) = -5*h + 1. Suppose -d + 3 = -0*d + 5*f, 0 = -5*d - 3*f + 15. Let z(n) = 5*n + 4. Let k(u) = 1. Let l(i) = -5*k(i) + z(i). What is d*o(v) + 2*l(v)?
-5*v + 1
Let r = 19 - 34. Let m(n) be the first derivative of -7/2*n**2 + 18 - 4*n. Let q(o) = -27*o - 15. Determine r*m(y) + 4*q(y).
-3*y
Let g(t) = 2 - t**3 - 3*t - 1 + 4*t**2 + 5*t**3 - 4. Suppose 69*u - 24 - 10 = -241. Let c(j) = j**3 + j**2 - j - 1. What is u*c(f) + g(f)?
f**3 + f**2
Let n(o) = 13760 - 13760 - o + o**2. Let s(w) = -3*w + 3. What is 5*n(z) - s(z)?
5*z**2 - 2*z - 3
Let u(r) = -33*r - 12. Let k(t) = 100*t + 36. Calculate 2*k(x) + 7*u(x).
-31*x - 12
Let d(c) = -3*c**3 + 4*c**2 - 2*c. Let f = 10947 + -10954. Let l(s) = -9*s**3 + 13*s**2 - 7*s. Give f*d(u) + 2*l(u).
3*u**3 - 2*u**2
Let d(l) = -4*l + 57. Let i(z) = -61090*z - 61087*z + 122175*z + 29. Calculate -3*d(a) + 5*i(a).
2*a - 26
Let h = 78 - 74. Let f(n) = 266 - h*n - 274 + 5*n. Let k(x) = -1. Let t(u) = 5. Let r(o) = -4*k(o) - t(o). What is 3*f(s) - 24*r(s)?
3*s
Let y(z) = 14*z**2 + 9*z + 88. Let f(o) = 15*o**2 + 11*o + 75. Determine 5*f(g) - 6*y(g).
-9*g**2 + g - 153
Let c(o) = 7*o**2 + 25*o + 2. Let d(z) = -9*z**2 - 25*z - 2. What is -5*c(f) - 4*d(f)?
f**2 - 25*f - 2
Let j(d) = -3*d**2 - 1086*d - 10. Let n(r) = -3*r**2 - 1083*r - 12. Give 6*j(a) - 5*n(a).
-3*a**2 - 1101*a
Let t(b) = -95*b**2 - 19*b - 19. Suppose -9 = 155*x - 152*x. Let y(q) = -16*q**2 - 3*q - 3. What is x*t(v) + 19*y(v)?
-19*v**2
Let b(x) = 4*x**3 - 113*x**2 - 58*x - 10. Let k(w) = -3*w**3 + 75*w**2 + 39*w + 7. What is 7*b(n) + 10*k(n)?
-2*n**3 - 41*n**2 - 16*n
Let u(f) = -9*f**3 - 7*f**2 - 8*f + 43. Let n(m) = -15*m**3 - 13*m**2 - 14*m + 86. Determine -4*n(k) + 7*u(k).
-3*k**3 + 3*k**2 - 43
Let k(j) = -6 - 15 + 3*j**2 + 16. Let d(i) = -157 + i**2 - 154 + 3*i**2 + 304. Calculate 5*d(c) - 7*k(c).
-c**2
Let l(d) = 28*d + 85. Let u be l(-3). Let x(s) = s. Let o(f) = -3*f**2 + 3*f. Suppose 4*w + 3*c = -53 + 47, 5*c = -w + 7. Determine u*o(y) + w*x(y).
-3*y**2
Let v(k) be the second derivative of k**4/6 - 306*k. Let q(g) = g**3 - g**2 + g. Calculate -4*q(c) - 2*v(c).
-4*c**3 - 4*c
Let z(m) = 3*m**2 + m. Let y(r) = 80*r**2 + 13*r - 2. Let l(h) = y(h) - 16*z(h). Let j(x) = -97*x**2 + 10*x + 6. Give -2*j(q) - 7*l(q).
-30*q**2 + q + 2
Let f(w) = -14*w**3 + 2*w**2 - 2*w - 2. Let r(n) = -29*n**3 + 26*n - 13*n - 18*n + 188*n**2 - 5 - 183*n**2. What is 5*f(p) - 2*r(p)?
-12*p**3
Let l(d) = -28*d**2 + 3*d + 3. Let b(r) = -r**2 + r + 1. Let f(z) = -63*z - 694. Let t be f(-11). Calculate t*l(o) + 3*b(o).
25*o**2
Let a(o) = -27*o + 12. Let n(t) = 47*t - 25. Determine -7*a(s) - 4*n(s).
s + 16
Let u be (-1 + 4)/(4/8). Let m(g) = u*g**2 + 32*g**3 + 30*g**3 - 60*g**3. Let c(l) be the first derivative of -l**3/3 + 1. Determine -6*c(r) - m(r).
-2*r**3
Let b(c) = -26*c - 5. Let h(i) = -5*i. Let z(q) = 11*q + 1. Let t(k) = -4*h(k) - 3*z(k). Let p be -3 - 1 - (-5 - -1 - 5). Calculate p*t(m) - 3*b(m).
13*m
Let q(h) = -37*h**3 + 5*h**2 - 6*h. Let c(t) be the first derivative of -19*t**4/2 + 4*t**3/3 - 5*t**2/2 + 8891. Give 6*c(i) - 5*q(i).
-43*i**3 - i**2
Let j(f) = 7*f - 3. Let x(r) be the third derivative of 224*r**2 + 0*r - 1/3*r**3 + 0 + 1/4*r**4. What is -4*j(i) + 6*x(i)?
8*i
Let c = -12 - -7. Let h(y) = 4*y**2 + y - 5. Let v(t) = -t - 60 + 1069 - 3*t**2 - 1005. Calculate c*h(b) - 6*v(b).
| {
"pile_set_name": "DM Mathematics"
} |
9
What is next in 31, 59, 87, 115, 143?
171
What comes next: 1339, 2679, 4019, 5359, 6699?
8039
What comes next: -5, 0, 9, 22, 39, 60, 85?
114
What is next in 13, 32, 53, 76, 101, 128?
157
What is next in 594, 587, 584, 591, 614, 659, 732?
839
What is next in 116, 230, 344, 458, 572?
686
What comes next: 370, 746, 1122, 1498, 1874, 2250?
2626
What is next in 178, 176, 172, 166?
158
What is next in -4, -5, -6, -7, -8, -9?
-10
What is next in 31, 40, 25, -26, -125, -284, -515, -830?
-1241
What is the next term in 82, 123, 164, 205, 246?
287
What comes next: -7, -2, 5, 14, 25?
38
What is next in 489, 486, 471, 438, 381, 294, 171, 6?
-207
What comes next: 4, -1, -10, -17, -16, -1?
34
What is the next term in -1309, -1306, -1303, -1300?
-1297
What is next in -105, -185, -319, -507, -749?
-1045
What comes next: 194, 200, 210, 224?
242
What is the next term in -15, -20, -29, -42, -59, -80?
-105
What comes next: 11987, 11988, 11989?
11990
What is the next term in 42, 128, 270, 474, 746, 1092, 1518, 2030?
2634
What is the next term in 5, -23, -49, -73, -95?
-115
What is next in -9, -26, -43, -54, -53, -34, 9?
82
What comes next: 14, 51, 114, 203, 318, 459, 626?
819
What is the next term in 753, 748, 733, 702, 649, 568?
453
What is next in 11897, 23796, 35695, 47594, 59493, 71392?
83291
What is next in 539, 928, 1329, 1748, 2191?
2664
What comes next: 18, 34, 50, 66, 82?
98
What is the next term in -20, -84, -192, -344?
-540
What is next in 17, 61, 131, 227, 349?
497
What is the next term in 4, -1, -16, -47, -100, -181?
-296
What is next in -38, -84, -142, -212, -294?
-388
What is next in 41, 102, 183, 284, 405, 546, 707?
888
What is the next term in 26, 62, 100, 140, 182?
226
What is next in 46, 207, 622, 1417, 2718, 4651, 7342, 10917?
15502
What is next in -931, -926, -911, -880, -827, -746, -631?
-476
What is the next term in 56, 75, 108, 161, 240, 351, 500?
693
What is next in -335, -337, -343, -353?
-367
What is the next term in 3, -12, -51, -126, -249, -432?
-687
What comes next: 52, 61, 80, 115, 172?
257
What is the next term in -9827, -19655, -29483, -39311?
-49139
What comes next: 1168, 2340, 3512, 4684, 5856, 7028?
8200
What is the next term in -6805, -13606, -20407, -27208, -34009?
-40810
What is the next term in 65, 294, 687, 1250, 1989, 2910, 4019, 5322?
6825
What is next in -1124, -1142, -1174, -1226, -1304, -1414, -1562?
-1754
What comes next: 49, 47, 43, 37, 29, 19, 7?
-7
What comes next: -8, -21, -52, -101, -168, -253?
-356
What is the next term in 190, 183, 166, 133, 78?
-5
What is the next term in -118, -122, -130, -142?
-158
What is next in 19, 42, 67, 94, 123?
154
What is next in -66, -133, -200, -267, -334, -401?
-468
What is the next term in 123, 232, 343, 456, 571, 688, 807?
928
What is next in -4044, -4049, -4054, -4059, -4064, -4069?
-4074
What comes next: -22, -70, -118, -166, -214?
-262
What is the next term in -28, -116, -270, -496, -800, -1188, -1666?
-2240
What is the next term in -276, -1085, -2432, -4317, -6740, -9701?
-13200
What is next in -767, -3068, -6903, -12272, -19175, -27612?
-37583
What is the next term in 4, 15, 32, 55?
84
What is next in 3857, 7706, 11555, 15404, 19253, 23102?
26951
What is the next term in 46, 125, 256, 439, 674?
961
What is next in -2027, -2009, -1985, -1961, -1943?
-1937
What comes next: 34, 75, 120, 169, 222?
279
What is next in 4026, 4017, 4002, 3981, 3954, 3921?
3882
What comes next: -44, -63, -106, -185, -312?
-499
What is next in 30, 51, 108, 219, 402?
675
What is the next term in -96, -198, -302, -408?
-516
What is next in -279, -280, -279, -276?
-271
What is next in -149, -147, -145, -143, -141, -139?
-137
What is the next term in -40, -128, -282, -508, -812, -1200, -1678, -2252?
-2928
What is the next term in -2, -3, -12, -35, -78?
-147
What comes next: 7872, 7871, 7870, 7869, 7868?
7867
What is next in 4, 93, 342, 835, 1656, 2889?
4618
What comes next: 147, 233, 319, 405, 491?
577
What is next in 17, 28, 45, 68, 97, 132, 173?
220
What is next in -189, -706, -1567, -2772, -4321?
-6214
What comes next: -263, -265, -267?
-269
What comes next: -24, -34, -58, -102, -172, -274, -414, -598?
-832
What comes next: -170, -350, -528, -704, -878, -1050, -1220?
-1388
What is the next term in 7425, 7424, 7423, 7422, 7421?
7420
What is next in -53, -69, -95, -131, -177, -233, -299?
-375
What comes next: -11, -15, -19, -23, -27, -31?
-35
What is next in -8538, -8564, -8576, -8568, -8534?
-8468
What comes next: 10555, 21110, 31665, 42220, 52775, 63330?
73885
What comes next: -189, -182, -175, -168, -161, -154?
-147
What is next in 303, 552, 793, 1020, 1227, 1408, 1557?
1668
What is the next term in 1767, 1751, 1735, 1719, 1703?
1687
What comes next: 253, 269, 303, 361, 449, 573, 739, 953?
1221
What is next in -76, -85, -98, -115, -136, -161?
-190
What comes next: -193, -384, -575, -766?
-957
What is the next term in -1244, -10001, -33770, -80057, -156368, -270209?
-429086
What is next in -842, -1683, -2524, -3365, -4206, -5047?
-5888
What is the next term in 8678, 17356, 26034, 34712, 43390?
52068
What is next in -8, -3, 2, 7?
12
What comes next: -10272, -10271, -10270, -10269, -10268?
-10267
What comes next: 685, 702, 731, 772?
825
What is next in 199, 281, 471, 823, 1391, 2229, 3391?
4931
What is the next term in 179, 323, 467, 611?
755
What is the next term in 34, 94, 154?
214
What is next in 106, 306, 632, 1078, 1638, 2306, 3076?
3942
What comes next: 218, 224, 234, 248, 266?
288
What comes next: 10716, 10717, 10718, 10719, 10720?
10721
What comes next: 4422, 8849, 13278, 17709, 22142, 26577?
31014
What is the next term in -8, -6, 2, 16?
36
What comes next: 133, 489, 1065, 1861, 2877?
4113
What is the next term in -237, -240, -255, -288, -345, -432, -555?
-720
What is next in 44, 92, 140, 188, 236?
284
What comes next: 34, 21, -10, -65, -150?
-271
What is next in 12, 39, 84, 147, 228?
327
What comes next: 330, 327, 322, 315?
306
What is the next term in -190, -181, -168, -151, -130, -105, -76?
-43
What is the next term in 5198, 5193, 5188, 5183?
5178
What is the next term in -57, -236, -529, -930, -1433, -2032?
-2721
What comes next: 75, 577, 1943, 4605, 8995, 15545, 24687?
36853
What is the next term in -1682, -6720, -15124, -26900, -42054?
-60592
What is the next term in 8, 4, -2, -10, -20, -32, -46?
-62
What is next in -107, -219, -343, -485, -651, -847, -1079?
-1353
What is next in -1386, -1382, -1376, -1368?
-1358
What is next in -4, -6, -8?
-10
What is next in 4976, 4973, 4970?
4967
What is next in 474, 490, 524, 582, 670, 794?
960
What is next in -30803, -30807, -30813, -30821, -30831, -30843, -30857?
-30873
What is next in -37, -26, -9, 14, 43, 78?
119
What comes next: 55, 67, 87, 115, 151?
195
What is next in 2205, 2197, 2177, 2139, 2077, 1985?
1857
What comes next: -171, -169, -167, -165, -163, -161?
-159
What is next in -18, -19, -22, -27, -34?
-43
What comes next: 16, 42, 78, 118, 156, 186, 202?
198
What is the next term in -1342, -5365, -12070, -21457, -33526, -48277, -65710?
-85825
What comes next: 101, 104, 101, 86, 53, -4, -91?
-214
What comes next: 126, 248, 356, 444, 506, 536?
528
What comes next: -35, -21, -7, 7, 21?
35
What comes next: -27, -39, -55, -75, -99?
-127
What is the next term in -169, -417, -685, -979, -1305, -1669?
-2077
What is the next term in -1042, -2055, -3052, -4027, -4974?
-5887
What comes next: -726, -732, -738, -744, -750, -756?
-762
What is the next term in -8, -5, 6, 31, 76, 147, 250, 391?
576
What is next in 18, 96, 242, 468, 786, 1208?
1746
What is next in -21, -41, -61?
-81
What is the next term in 5, 19, 39, 65, 97?
135
What is the next term in 11, 40, 107, 230, 427, 716, 1115?
1642
What is next in 10, 36, 80, 142, 222?
320
What is next in 132, 264, 396, 528, 660?
792
What comes next: -203, -201, -201, -203, -207?
-213
What is next in -13, -13, 5, 41, 95?
167
What is the next term in 211, 309, 419, 547, 699, 881?
1099
What comes next: 17, 8, -3, -16, -31?
-48
What comes next: -64, -58, -48, -34, -16?
6
What is next in 24, -18, -60, -102?
-144
What comes next: -45, -45, -43, -39, -33, -25?
-15
What comes next: 24, 99, 238, 453, 756, 1159, 1674?
2313
What is the next term in -578, -579, -582, -587, -594, -603?
-614
What is the next term in -125 | {
"pile_set_name": "DM Mathematics"
} |
225?
True
Is 18 a factor of 538212103?
False
Is 519691032 a multiple of 168?
True
Is 150 a factor of 2913882395?
False
Does 25 divide 1239391425?
True
Is 10543683 a multiple of 69?
True
Does 102 divide 83968542?
True
Does 6885 divide 468730800?
True
Is 371406660 a multiple of 7223?
True
Is 25 a factor of 139839875?
True
Is 61609508 a multiple of 644?
False
Does 589 divide 218413727?
False
Does 62 divide 54488390?
True
Is 254 a factor of 914687020?
True
Is 514 a factor of 173381452?
True
Does 11 divide 170501?
False
Is 587 a factor of 9814640?
True
Does 2410 divide 6573284640?
True
Is 108660773 a multiple of 13?
True
Does 276 divide 38274300?
True
Does 7 divide 70181951?
True
Is 11 a factor of 272802750?
True
Does 74 divide 2614953617?
False
Is 91 a factor of 533503152?
True
Is 946434828 a multiple of 12?
True
Is 35513792 a multiple of 25?
False
Does 7267 divide 764546536?
True
Is 931 a factor of 48447378?
True
Is 9 a factor of 221960169?
True
Does 4821 divide 157000686?
True
Is 14 a factor of 52948337?
False
Does 249 divide 104390728?
False
Is 74 a factor of 5372951?
False
Is 476 a factor of 38687212?
False
Does 20 divide 14311760?
True
Is 12276875 a multiple of 625?
True
Is 8 a factor of 9361264?
True
Is 39 a factor of 203715380?
False
Is 96937833 a multiple of 3341?
False
Is 337 a factor of 2008937807?
False
Is 17 a factor of 13903360?
False
Is 768 a factor of 4822637568?
True
Is 4860996695 a multiple of 205?
True
Is 949 a factor of 46809860?
False
Is 702 a factor of 128330514?
True
Does 5 divide 64209131?
False
Is 50 a factor of 180541589?
False
Does 795 divide 35687431?
False
Is 2819 a factor of 2287117722?
False
Is 640881649 a multiple of 246?
False
Is 1034333409 a multiple of 113?
True
Is 60738174 a multiple of 798?
True
Does 24 divide 656787797?
False
Does 149 divide 8951747?
False
Is 91574201 even?
False
Does 3277 divide 637514134?
True
Is 112029695 a multiple of 304?
False
Is 12 a factor of 123713496?
True
Is 42 a factor of 2214324?
True
Is 272 a factor of 1257683936?
True
Is 286361637 a multiple of 8036?
False
Does 57 divide 433590222?
True
Is 3212 a factor of 1281413?
False
Is 33181639 a multiple of 20?
False
Is 255552752 a multiple of 4661?
False
Is 42 a factor of 39397680?
True
Does 7 divide 1412595?
False
Is 18301933 a multiple of 40?
False
Does 104 divide 55839296?
False
Does 567 divide 686716380?
True
Does 5328 divide 28504800?
True
Does 6 divide 114843956?
False
Does 9 divide 938126267?
False
Is 430 a factor of 217869820?
True
Does 144 divide 955068048?
True
Is 43 a factor of 1120508061?
True
Is 38 a factor of 73420028?
True
Is 23 a factor of 28519379?
True
Is 1556884894 a multiple of 133?
False
Is 20381333 a multiple of 7?
True
Does 32 divide 185618029?
False
Does 986 divide 31945414?
True
Is 145 a factor of 35388700?
True
Does 142 divide 60451983?
False
Is 343595956 a multiple of 372?
False
Does 281 divide 11330748?
False
Is 772 a factor of 1155033976?
True
Is 3318227087 a multiple of 14499?
False
Is 662 a factor of 255363343?
False
Is 3442642 a multiple of 34?
False
Is 302659278 a multiple of 24?
False
Does 4693 divide 299150592?
True
Is 244262754 a multiple of 417?
True
Does 1149 divide 2061170188?
False
Is 870 a factor of 202345938?
False
Does 438 divide 281068682?
False
Is 19816156 a multiple of 26?
False
Is 368 a factor of 398428816?
True
Is 37 a factor of 48676253?
False
Does 142 divide 5400828?
True
Does 9 divide 271475198?
False
Is 4 a factor of 885488412?
True
Is 30 a factor of 133187841?
False
Is 71764468 a multiple of 13?
False
Is 105 a factor of 165208995?
True
Is 92929641 even?
False
Does 124 divide 1835717080?
True
Does 54 divide 14899876?
False
Is 45 a factor of 1399140?
True
Is 951 a factor of 1210394049?
False
Is 27 a factor of 70653133?
False
Is 4 a factor of 748983766?
False
Is 24 a factor of 42838368?
True
Is 3158460060 a multiple of 3140?
True
Does 68 divide 17456076?
True
Is 89888649 a multiple of 486?
False
Is 9237596 a multiple of 122?
True
Is 309159398 a multiple of 4?
False
Is 606 a factor of 2463548142?
False
Is 29372800 a multiple of 1675?
True
Is 9 a factor of 13917533?
False
Does 210 divide 754916610?
True
Does 5668 divide 1932637113?
False
Does 3 divide 3846630?
True
Is 859 a factor of 61934192?
False
Does 75 divide 319811550?
True
Is 21788361 a multiple of 189?
False
Does 65 divide 7025345?
False
Is 792511510 a multiple of 2590?
True
Is 47 a factor of 22712327?
True
Is 665250 a multiple of 212?
False
Is 3705061 a multiple of 66?
False
Does 710 divide 341774830?
True
Is 154464474 even?
True
Does 182 divide 129211992?
True
Is 40165883 a multiple of 2274?
False
Does 938 divide 35577994?
False
Is 17 a factor of 44133225?
False
Is 28 a factor of 1137864?
True
Is 22405654 a multiple of 32?
False
Does 348 divide 47150956?
False
Is 314160250 a multiple of 590?
True
Is 766 a factor of 2813351778?
True
Does 52 divide 21283705?
False
Is 736483639 a multiple of 1656?
False
Is 1091 a factor of 67647455?
True
Is 138525718 a multiple of 79?
False
Is 277 a factor of 889606910?
False
Is 32 a factor of 182559232?
True
Is 276303000 a multiple of 31?
True
Is 101 a factor of 30278790?
True
Is 49602312 a multiple of 36?
True
Is 165 a factor of 50354040?
True
Is 144 a factor of 63740448?
True
Is 2 a factor of 18774442?
True
Is 482 a factor of 12732994?
True
Is 14 a factor of 2766876?
True
Is 3220162840 a multiple of 8?
True
Does 86 divide 53566304?
True
Is 1904362920 a multiple of 45?
True
Does 5 divide 140176135?
True
Does 102 divide 14279184?
True
Is 1435 a factor of 909808797?
False
Does 7 divide 215604681?
False
Does 1024 divide 33405952?
True
Does 14 divide 726493362?
True
Does 13 divide 199952644?
False
Is 17 a factor of 3725426104?
True
Is 20905187 a multiple of 21?
False
Does 38 divide 11525286?
True
Does 601 divide 199852333?
True
Does 52 divide 118757236?
True
Is 1190 a factor of 642903?
False
Does 971 divide 785025341?
True
Is 56613584 a multiple of 566?
True
Is 33 a factor of 1134082?
False
Does 93 divide 1590814680?
False
Is 55383223 a multiple of 130?
False
Does 23 divide 151620044?
False
Does 134 divide 55118622?
True
Does 16 divide 158591785?
False
Is 31 a factor of 22923012?
True
Is 20764100 a multiple of 35?
True
Does 22 divide 25248260?
False
Is 121 a factor of 4966818956?
False
Is 4 a factor of 1934888?
True
Is 28567539 a multiple of 1661?
True
Is 37554186 a multiple of 834?
True
Does 831 divide 3894922311?
False
Is 117 a factor of 1954233313?
False
Is 472658573 a multiple of 5526?
False
Is 322760263 a multiple of 3073?
True
Is 22568155 a multiple of 101?
False
Is 299 a factor of 1222874573?
False
Is 60 a factor of 5857740?
True
Is 12 a factor of 561888372?
True
Does 18 divide 7270272?
True
Is 4897818 a multiple of 172?
False
Is 204 a factor of 149187089?
False
Does 47 divide 68160128?
False
Does 2275 divide 273635195?
False
Does 5016 divide 334301352?
True
Is 920314 even?
True
Does 858 divide 13590588?
False
Is 561032073 a multiple of 3737?
True
Does 37 divide 665980057?
True
Is 122628025 a multiple of 127?
True
Does 50 divide 19240311?
False
Is 32 a factor of 159880388?
False
Does 48 divide 1591004305?
False
Is 77397363 a multiple of 2307?
False
Is 44580364 a multiple of 10?
False
Is 41556204 a multiple of 1045?
False
Is 350 a factor of 1073176232?
False
Is 52 a factor of 3785151170?
False
Is 624 a factor of 396166737?
False
Is 1089 a factor of 82178118?
True
Is 31989254 a multiple of 22?
True
Is 3396 a factor of 172207764?
True
Does 253 divide 14287577?
False
Is 4487 a factor of 2334146374?
True
Is 1325 a factor of 81051225?
False
Is 294 a factor of 9503256?
True
Does 1059 divide 892573914?
True
Is 198010321 a multiple of 91?
False
Is 1147864840 a multiple of 1143?
False
Is 33993828 a multiple of 18?
True
Is 3 a factor of 2384871?
True
Is 43680974 a multiple of 12?
False
Is 50995180 a multiple of 169?
False
Is 9 a factor of 16019204?
False
Is 93983160 a multiple of 765?
False
Is 312 a factor of 65317200?
True
Is 251214080 a multiple of 26?
True
Does 2444 divide 29885232?
True
Is 27 a factor of 14960709?
False
Is 16981335 a multiple of 555?
True
Is 49009023 a multiple of 4?
False
Is 224 a factor of 56796507?
False
Is 22864840 a multiple of 10?
True
Is 35 a factor of 174183137?
False
Is 527 | {
"pile_set_name": "DM Mathematics"
} |
47 assuming r is positive.
r**(6345/7)
Simplify ((n/n**6*n**(-1)/n)/((n**(-1/3)*n)/n)**(2/15))/((n*n*n*n*n**(1/4)*n)**(6/7)*n**(4/5)/(n/(((n/((n*n**(2/11))/n))/n)/n))) assuming n is positive.
n**(-9973/990)
Simplify (k/k**17)/(k/k**(-10/9))*k**(-11)*k/k**34 assuming k is positive.
k**(-559/9)
Simplify (z/z**28*z**(-30)*(z/(z**(-1/7)/z))**(-21))**(1/16) assuming z is positive.
z**(-51/8)
Simplify (((n/(n/n**(-1/6)))/n)**(1/66)/(n/((n*(n**(-13)*n)/n)/n)*n)**(-30))**45 assuming n is positive.
n**(890965/44)
Simplify ((l**(-10/7)*l)/(l*l/((l/l**(-26))/l*l)*l))/((l**(3/14)*l)/(l/(l*l**(18/13)/l))) assuming l is positive.
l**(3999/182)
Simplify (v/((v**(2/11)*v*v)/v*v))/(v/v**(-2/15))*(v/v**(-2/3))**(-33)*(v/((v*v**6)/v*v)*v*v**8)**(17/3) assuming v is positive.
v**(-6652/165)
Simplify ((i**3/i*i**(-2/5))/(i*i**(-4)/i*i*i**4/i))/((i**(-1))**39/((i**(2/7)*i*i)/i**(3/2))) assuming i is positive.
i**(2897/70)
Simplify ((i/i**(-3/2)*i*i**10/i*i)/(i/(i/((i**(-3)*i)/i)))**(2/25))**39 assuming i is positive.
i**(26793/50)
Simplify (((i*i/i**(-4)*(i*((i*i**(3/2))/i)/i*i)/i)/(i**(2/5)/i)**(-1/7))**(-18/11))**(-3/11) assuming i is positive.
i**(14013/4235)
Simplify ((l/(l/(l*l**(2/7)*l)))**(-10))**(-10)/(((l*l**6*l*l*l)/(l**(-5)/l))/((l**3*l*l)/l**(2/9))) assuming l is positive.
l**(13693/63)
Simplify ((p*p**2)**(-48))**(5/6)/((p*p**(2/3))/(p**(2/5)*p)*p/(p/p**1*p)*((p*p**(-1/4))/p)/p*p) assuming p is positive.
p**(-7201/60)
Simplify (((((s*s**1*s)/s)/s)**13*s**(-1/3)*s**(3/2))**(3/29))**(3/2) assuming s is positive.
s**(255/116)
Simplify (u**4*u)/(((u/u**(4/7))/u)/u)*(u**1)**(-1/22)*(u/(u*u**(-6/13))*u/u**(9/2))**49 assuming u is positive.
u**(-142501/1001)
Simplify (((w*w*w/w**(33/4))/w)/(w/w**(2/13)))/(w**(3/13)/(w*w*w**(-38))) assuming w is positive.
w**(-2253/52)
Simplify (n**(15/7)/(n**2/n)*(n**(-2/15))**(37/5))**(-2/95) assuming n is positive.
n**(-164/49875)
Simplify ((b/(b/(b*b**(2/17))))/b**(-4))/(b*b/(b*b/b**(-7)*b)*b*(b/b**(2/3))/b)*((b**6*b)/(b/b**5))**(-6/17) assuming b is positive.
b**(454/51)
Simplify (i**(2/19)/i*i/(i*i**(2/7)*i*i*i))/((i**(-2/3)*i)/i**(-5))*((i*i/(i/(i*i/(i*(i/i**(-1/3)*i)/i*i)*i))*i)/i**(1/7))**(24/11) assuming i is positive.
i**(-27164/4389)
Simplify (m**6*m/((m/(m**5*m))/m))**37/((m/(m**(-2/15)*m)*m**(1/9))/(m/(m*m**(-1))*m**(-4/5))) assuming m is positive.
m**(21643/45)
Simplify (z**6/(z*z**(-1/8)*z))**(12/11)*(((z/(z*z*(z*z/(z/(z**(-2/7)*z)))/z*z))/z*z)**48)**(-33) assuming z is positive.
z**(60255/14)
Simplify (((((z*z*(z/z**8)/z)/z)/((z/z**(-2/21))/z))**(7/4))**49)**(-47) assuming z is positive.
z**(343147/12)
Simplify ((y**(1/2)/y)**(1/19)/(y*(y*y/y**(-11/3)*y)/y*y/y**(-3/11)))**(-11) assuming y is positive.
y**(9989/114)
Simplify (x**4*x*(x/((x*x**5*x)/x*x))/x)/(x*x**(-6)/x*x*x*(x*x**5)/x)*(x**(-2/11)*x*x**(-10)*x*x)**(-1/4) assuming x is positive.
x**(-53/44)
Simplify (v*v/v**(2/9)*(v**12*v)/v)/(v**(-2/3))**(-1/8) assuming v is positive.
v**(493/36)
Simplify ((n**(-2/9)*n/n**4*(n**(-2))**(-16))**(-39))**(2/13) assuming n is positive.
n**(-518/3)
Simplify (j**0*j**(-2/9))**(-43)/((j**(-4)/(j*((j**(-1/6)/j)/j)/j))/((j**(1/6)*j)/j**3)) assuming j is positive.
j**(86/9)
Simplify ((u/(u**(-12)/u)*(u/(u/(u*u*u**(2/23))))/u)/((u**(1/9)/u)/u*u*u*u*u**(7/3)/u))**(-2/31) assuming u is positive.
u**(-5234/6417)
Simplify (((((z*z/(z**(-2/5)*z))/z)/z*z)/z)**(-2/21)*z*z**1*z*(z/z**5)/z)/((z*z**(1/3))**(-1/6)*(z**(-1)*z)/(z*z**(-2/9))) assuming z is positive.
z**(-33/35)
Simplify ((f*f**(-4)*f*f)**(-2/19))**36*(f**0)**(1/22)/((f*f**(-7))/(f*((f/(f**0/f))/f)/f)) assuming f is positive.
f**(205/19)
Simplify ((i*i**2*i)**(-13))**34/((i**(-1)*i**(-2/7))/(i**(-1/9)/(i/i**(-1/12)))) assuming i is positive.
i**(-445513/252)
Simplify (k**(-9)/k*k**8)**(3/40)*(k/(k**(-1/10)/k)*k*k**7)**(1/52) assuming k is positive.
k**(23/520)
Simplify (w**(5/4)*w)**(13/2)*(w/(w/(w*w**(-3/25))))**(-3/10) assuming w is positive.
w**(14361/1000)
Simplify ((x/((x**2*x)/x))/(x**(-5/4)/x))**23/(x**14*x*x/x**(-1/2)*x)**(1/31) assuming x is positive.
x**(3495/124)
Simplify ((g**1)**(-45)/(g**(1/3)/g**(-2)))/((g**(1/7)*g**(1/3)/g)/((g/g**(2/5))/g)**(-2/49)) assuming g is positive.
g**(-34393/735)
Simplify (((l**39*l**(-13))**(-4/13))**(-45))**(-1/39) assuming l is positive.
l**(-120/13)
Simplify (((z**(-2/51)/z)/(z/(z*z/(z*z*z**25)*z)))/(z**(-2/21)*z**(-14/3)*z))**2 assuming z is positive.
z**(-5302/119)
Simplify ((m*m**(-5/3))/((m/(m*m**27/m))/m)*m**(10/7)*m**(-2/7))**(-4/43) assuming m is positive.
m**(-2308/903)
Simplify ((((o*(o*o**1)/o)**(4/15))**(-3/7))**(-5/3))**(-42) assuming o is positive.
o**(-16)
Simplify (a/(a/((a**(-5)/a*a)/a)))/(a/(a*a/(a/(a*a**(-4)*a))*a))*a**2/a**(6/7)*(a*a/a**6)/(a*a/a**(-5)*a*a)*((a**5*a)/a)/(a*a**(3/7)) assuming a is positive.
a**(-107/7)
Simplify (((p**(-2/5))**(-41)/(p/p**(-1))**(-18))**45)**(-31) assuming p is positive.
p**(-73098)
Simplify (((w*w**(1/8)/w)/w)**(-1/13)*w**(3/5)*w**(-4/11))**(-9/7) assuming w is positive.
w**(-15633/40040)
Simplify ((r**1)**(-26)*(r/(r*r/((r*r**5*r)/r*r)))/r*r**(-1/3))/((r/r**0)**43)**(2/9) assuming r is positive.
r**(-278/9)
Simplify (b**18*b*b**(-6/11)*(b/(b*b**(-1/8)/b*b*b))**(-26/3))**(-3/38) assuming b is positive.
b**(-3437/1672)
Simplify (((o/(o**(-18)*o))**(-1/53))**(-2/93))**(-12) assuming o is positive.
o**(-144/1643)
Simplify (g**(-2/11)/(g/(g*g**(-6))))**(1/5)/(g**(5/4)*g*g/(g*g**(1/5))*(((g/(g/(g/(g**(-1/7)/g)))*g)/g)/g)/(g/g**(-5)*g)) assuming g is positive.
g**(3959/1540)
Simplify z**(2/3)*z**(-2/11)*z*((z/(z**(1/5)/z))/z)/(z*z/z**(-2/13))*((z*z**(2/13))/z**(-6))/((z*z**(-1/5))/(z/z**(-3))) assuming z is positive.
z**(346/33)
Simplify ((p*(p**(-1/2)*p)/p*p*p*p*p)**49)**21*(p**(-11/5)/p*p*p**(2/19)*p*p)**19 assuming p is positive.
p**(46287/10)
Simplify (u*u/(u**4/u)*u/(u/(u**(2/3)/u)))**(-3/2)/((u**1)**(4/7))**(9/5) assuming u is positive.
u**(34/35)
Simplify (m/(m*m**4*m)*m/m**(2/9))/(m/m**(-1/2)*m*m)**(-8/17)*(m*m**(-1/3)*m)**(-2/51)*m**(-3)*m*(m/(m*m/((m/(m*m**(-7))*m)/m)))/m assuming m is positive.
m**(55/153)
Simplify (y*y**(-6)*y**(2/9))/((y**(2/3)/y)/y*y)**(-17/6)*(y*y/y**(1/3))**(-40)*((y*y**(2/7))/y*y)**(-5/6) assuming y is positive.
y**(-4628/63)
Simplify ((u*u**(-7/4))/(u**(-5/6)/u)*(u/(u/(u*u**(5/8)))*u)/u*u*u/u**(-28)*u)**(-11/6) assuming u is positive.
u**(-8899/144)
Simplify ((d*d*d/d**(-3/2))**(-50))**(4/17)/(d*d*d*d/d**4*d**(3/5)/d*(d**(-2))**(-1/50)) assuming d is positive.
d**(-22347/425)
Simplify (v**(-10)/((v**(-2/7)*v)/v*v))**26*v**(-5)/v**(-7)*(v*v**(-1/4))**(-25/3) assuming v is positive.
v**(-7919/28)
Simplify ((j*j*j/(j/j**4)*j/(j**(-7/4)/j))/(j**(-2/9)*j)**(-40))**35 assuming j is positive.
j**(51485/36)
Simplify (((v*v**(-2/19)/v)/(v*v**(-25)))/((v/v**(-6)*v)/v**(2/57)))**(-17) assuming v is positive.
v**(-15436/57)
Simplify (((y**(2/25)/y)/y**(-41))/(y**(-2/75)/y**(11/8)))**(-38) assuming y is positive.
y**(-472891/300)
Simplify (p**(-7/5))**(1/17)/(p*p**0*p)**41 assuming p is positive.
p**(-6977/85)
Simplify ((c**(2/9)*c*c)/(c*c**(-4)*c*c)*(c/(c*c*c**0/c))**(-20))/((c**(2/5))**(-2/9)*c**1/(c**(-1)*c)) assuming c is positive.
c**(104/45)
Simplify (u**(-6)/u**5)/(u/((u*u*u*u**(-2/5))/u)*u**8*u*u)*(((u/u**8)/u)/(u/u**(3/4)*u))/((u*u**(-1/5))/(u**6/u)) assuming u is positive.
u**(-509/20)
Simplify ((m*m**3)**(-2/7)*m**23/m**(-2/23))**18 assuming m is positive.
m**(63594/161)
Simplify ((g**(2/9)/(g**(-1/4)*g*g*g))/(g**11*g**(-2/15)))**30 assuming g is positive.
g**(-2411/6)
Simplify ((f**(-5/11)/f**9)/((f*f**(2/13))/f)**(4/9))**34 assuming f is positive.
f**(-416704/1287)
Simplify ((t**(-6)/t)/((t*t**1)/t*t)*t*t*t*t*t/(t**(2/27)/t)*t**7)/((t**(5/2))**(-1/42))**(-34) assuming t is positive.
t**(719/378)
Simplify (((((k/k**(2/11))/k)/k*k)/k)**(-1/35))**18/((k**(-1/3))**(23/2))**(6/17) assuming k is positive.
k**(12833/6545)
Simplify (((q/q**(-1))/q*q)**(-13))**(4/15)*((q**(-1)*q)/q*q*q**(-2/5))/((q*q**1*q)/q)**45 assuming q is positive.
q**(-292/3)
Simplify (v**5/((((v*v**3/v)/v)/v)/v))/((v/(v/(v**(-6)*v)))/v**(4/11))*(v**(-1/17)/v*v**2)**18 assuming v is positive.
v**(5106/187)
Simplify (v*v**(-3)*v**(3/2)*v**(-5)/((v*v**(-2/15)*v)/v))/((v*v**(-1))**8*v**(-3/2)*v**(6/5)) assuming v is positive.
v**(-91/15)
Simplify (((q/q**9*q*q*q**(1/4)*q*q*q)/(q* | {
"pile_set_name": "DM Mathematics"
} |
= 5*n - 28, 6*n - 7*j - 58 = 5*n - 18*j for n.
3
Solve 3*l = 5*p - l - 3*l + 22*l + 260, -16*p - 4*l = 744 for p.
-46
Solve -5*g - 250 = -c, 2*g + 476*c = 3*g + 475*c + 50 for g.
-50
Solve -8*s = -3*v + 144 + 463, 5*v + 4*s - 237 = -508 for v.
5
Solve -24*i = 2*o - 27*i + 24, 17*o + i + 82 = -4*i for o.
-6
Solve d - 2*d - 484 = -58*b - 5*d, -53*b + 52*b = d - 13 for b.
8
Solve -4*i - 9*k = -12*k - 72, 0 = 4*i + 5*k - 40 for i.
15
Solve 0 = -3*i - 42*t + 78, 39 = 6*i + 4*t + 43 for i.
-2
Solve 29417*k - 1 = 29416*k, k - 1 = b for b.
0
Solve 3*a + 2797*z = 2794*z - 39, z + 179 = -16*a + 1 for a.
-11
Solve -2*s - 73 = -3*g, s = -21*g - 176 + 657 for s.
-2
Solve -6*g + 5*j = -137 + 197, -4*g - 5*j = -j + 40 for g.
-10
Solve -4*t = 4*x + 36, 2*t = -4*x + 3145906 - 3145938 for t.
-2
Solve 0 = -48*x - p + 63, 0 = -5*x + 258*p - 256*p - 25 for x.
1
Solve 25 = 5*l, -4*a - 117*l - 75 = 137*l - 257*l for a.
-15
Solve -12*q + 7*q + 24031 = -5*h + 23971, 0 = 5*h - 4*q + 63 for h.
-15
Solve -140 = 2*a - 4*x - 97 - 71, -a + 4*x + 29 = -3*x for a.
8
Solve w - 5 = 2*n - 11 + 14, n + 66 = -15*w for n.
-6
Solve -5*n = 3*u + 48, -17654 + 17698 = -4*u for n.
-3
Solve -9 = -2*u + 5*d - 98 + 22 - 25, 156 = -3*u + 3*d for u.
-56
Solve 1253*b + 5332 + 883 = 5*u, 4*u + 32 - 20 = b - 23 for b.
-5
Solve 240 = m - 77*h + 40*h + 42*h, -4*m - 5*h = -225 for m.
-5
Solve -21443*x - 52 = -21440*x + 4*t - 18, 0 = -2*x + 3*t - 17 for x.
-10
Solve 25*n - 38*j + 183 = -34*j, -2*n + 2*j = 18 for n.
-7
Solve 3*z - 3*b + 8 = z - 4*b + 6*b, 20 = 4*z - b for z.
6
Solve 12*u + 10 - 1 = 14*u - 17*i, 2*u + 4*i = 30 for u.
13
Solve -75*u - 5*g + 33 = -52*u, 80*g + 2 = -4*u + 83*g for u.
1
Solve -y + 2*l = -14, 3*y + 457*l - 451*l = 6 for y.
8
Solve 2*w = -h - 21, -18*h + 13*h = -4*h + w + 16 for h.
-11
Solve 12*g + 2887 - 2179 = 48*q, -q = g - 21 for g.
5
Solve 4*h + 2*o + 96 = 5*h, -13*h - 2*o = 22 + 18 for h.
4
Solve -90*g = 73*w - 71*w - 18, 5*w = -5*g + 265 for w.
54
Solve 952*o = -3*a + 15980 - 9298, -40 = -2*a - 4*o for a.
6
Solve 4*a + 8*x - 4*x + 9 - 41 = 0, 4*x - 50 = 2*a for a.
-3
Solve 0 = 4*b + 7*g - 158, 9797726*b - g + 74 = 9797728*b for b.
36
Solve -49*x + 53*x - 5*q = -64, -2*q - 53 = 3*x + 18 for x.
-21
Solve 0 = -12*l - 72, -268 = b + 4*l - 850 + 300 + 296 for b.
10
Solve 0 = 28*v + 4*p + 112, 1001*p + 10 = 5*v + 1006*p for v.
-5
Solve -205 = -5*h - 4*d, 462*d - 180 = -5*h + 463*d for h.
37
Solve -4*w - 2*v + 20 + 10 = 3*v, -w + 12*v + 11 = 30 for w.
5
Solve 48 = 10*o - 10*o + 15*p - 25*p + 14*p + 72, 0 = 5*o + 6*p - 9 for o.
9
Solve w + 5*o = 13, 0 = w + 7*w + 4*o + 52 - 12 for w.
-7
Solve -4*h - 4*k - 5 - 11 = -43 + 9 + 26, -2*k = 8*h - 8 for h.
2
Solve 0 = 4*f + 5*y - 21234 + 21204, 6 = -5*f + y for f.
0
Solve 84*a + 102 = 3*j - 89*a + 170*a, -3*a - 105 = -4*j for j.
3
Solve 0 = -5*b + 66*a + 141*a - 6841, -b - a - 2*a + 91 = 3*b for b.
-2
Solve 3*s - 119 = -4*u, 630 - 371 + 621 = -4*u + 24*s for u.
2
Solve 0 = 2*r - 4*x + 94, 9*x - 6*x - 299 = -101*r - 4431 for r.
-41
Solve 2*d - 7*d + 4*f + 175 - 55 = 0, 0 = d - 2*f - 66 for d.
-4
Solve 3*u = 5*y + 35, 3924*u = 2*y + 4211*u - 2868 for y.
-1
Solve 0 = -6246*s + 6242*s + 16, -4*s + 6 = 2*n for n.
-5
Solve -28*o + 145 = 30*n - 26*o + 43, 4*n - 3*o = 2*o - 18 for n.
3
Solve -5*x - 2286 = 24*w - 2905, 2*x = -4*w + 102 for w.
26
Solve 175 = v - 7*w + 123, 0 = 5*v + 15*w + 90 for v.
3
Solve 2*y + 16 = -y - x, 4*x + 149 - 135 = -2*y for y.
-5
Solve 0 = 5*l - 40*j - 253 + 910 + 638, j = -l + 29 for l.
-3
Solve 3*a + 99 = 5*p, 3*p = -5*a - 9756 + 9829 for a.
2
Solve 2*w - 5*u + 11 = 3*w + 39, 2*w - 2*w + u + 5 = 0 for w.
-3
Solve h + 98 - 91 = -24*o + 107, -o - 13 = 5*h + 4*o - 53 for h.
4
Solve -109*o = -d - 104*o - 20 - 0, -o = 3*d + 28 for d.
-10
Solve -21*s + 4*k = -18*s + 46 - 5, 0 = -26*s + k - 86 for s.
-3
Solve 3*n = 4*p + 24, 4*n - 32 = 912*p - 939*p for p.
0
Solve f - 15 = -2*q, -2*q + 4*q + 23 = -289*f + 290*f for f.
19
Solve 3*w = -3*d - 120, -20*w - 14*w + 50*w - 240*d + 548 = 20*w for w.
-43
Solve 0 = -5*p - 3*w - 6, -5*p + 535523*w = 535520*w - 36 for p.
3
Solve 51*o = 44*o - 5*h + 110, 5*o + 5*h - 80 = 0 for o.
15
Solve y = 20*v + 73, 39*y + 2*v = 39*y + 1 - 9 for y.
-7
Solve -5*i - 20858 = -3*x - 20862, -3*i = -x + 4 for i.
-4
Solve -10*i - 101*j + 103*j + 21 + 11 = -86, -196 = -16*i + 2*j for i.
13
Solve 4*f + 17 = -12*w + 12*w - w, w + 1 = -3*f - 11 for f.
-5
Solve -73*h - 12*h + 3*i = -472 + 29, 5*h - 2*h - 33 = 3*i for h.
5
Solve -3*u - 28 = -4*y, -2*y - 4951*u + 4 = -0*y - 4946*u + 16 for y.
4
Solve 0 = -58*g + p - 634, 4*p - 833 + 827 = 2*g for g.
-11
Solve 5*d + 4*k + 14 = 0, 0*d - 19*k - 362 + 468 = -5*d for d.
-6
Solve -3*s = -w - 16, -8*w + 4*w + 16 = 15*s - 5*w - 84 for s.
7
Solve o = 6*o + 3*r - 50, 3*o + 4*r + 0*r - 85 = 0 for o.
-5
Solve -6 = -4*o + 2*i, -3*o + 14*i + 7468 - 7366 = -5*o for o.
-2
Solve 5*y - 7*n = 147, -y - 4*n - 98 = -8*n + 9*n - 20 + 27 for y.
0
Solve -149*p + 2 = 5*q - 0*q - 297*p + 152*p, 2*q + 3*p + p - 8 = 0 for q.
-2
Solve -4*s + 12 = 4*f, 4097*s - 4097*s + 34 = -17*f for s.
5
Solve -11*s - 1796*r + 340 = -1801*r, -3*s + 53*r = -196 for s.
30
Solve 23*v - 24*v + 17 = -4*s, -4*v - 297 = s - 433 for s.
4
Solve 6*b + 2*k + 15 = b, -2400*k + 80 = 4*b - 2403*k for b.
5
Solve -274*q + 271*q + 2*b + 3 = 0, -14*b = 4*q - 54 for q.
3
Solve -5078 = a + 11*m - 5015, 3*a - m = -87 for a.
-30
Solve 3*c + 3*d + 69 = 0, -80*c + 84*c - 2*d = -62 for c.
-18
Solve 66*h = j + 73*h - 63, 18*j - 494 = 2*h for j.
28
Solve -4*o + 26 = 1081*c - 1086*c, 279*o + 4*c = 5*c - 273 for o.
-1
Solve 8*l - 153*d = 3*l - 692, -32*d = -6*l - 33*d - 92 for l.
-16
Solve 2*u = -4*w + 46, -7*w = -40*w + 66*w + 5*u - 437 for w.
14
Solve 23*n - 21*n + 3*w + 6 = -7, -3*n - 4*w - 19 = 0 for n.
-5
Solve 0 = -41*r + 2*h - 805 + 901, 3*h + 13 = -4*r for r.
2
Solve 2*q + u = 6*u - 49, -6*u + 3*u = -3*q - 24 for q.
3
Solve 3*o - 3*o - 4*p - 110 = -2*o - 70, -p - 10 = -5*o for o.
0
Solve 0 = 137*n - 138*n - 4*m - m + 26, -4*n + 14*m = 100 for n.
-4
Solve w + g = 7, -7*w - 19*g + 2569 = 2460 for w.
2
Solve -p + 4*h - 8 = 0, -p - 82*h = -6*p - 84*h + 26 for p.
4
Solve -235 + 234 = -2*b - 5*v, 4*b - 5*v + 43 = 0 for b.
-7
Solve 5077 - 5213 = 4*b + 3*w, -2751 = b + 53*w for b.
5
Solve 0 = -3*u + 2*z - 23, 5*u = -3*z + 6282 - 6333 for u.
-9
Solve 4*x + 1124 - 1182 = 3*z, -260 = -2*x + 12*z for x.
-2
Solve -39*h + 3*f = 2061, 33*h - 34*h + 50 = f + 105 for h.
-53
Solve 20*y + y - 12 = -t + 105, 0 = 3*y - 4*t + 207 for y.
3
Solve -v + 5*v = -3*d - 65, 5*v + 95 = -4*d + 3*d for v.
-20
Solve 3*b = 5*r + 66, 0 = -102143*r + 102139*r + 4*b - 96 for r.
3
Solve 28 = z + 3012*d - 3008*d, -d + 5 = -3*z + 37 for z.
12
Solve -3 - 50 = 4*n - 5*z + 5, 3*n - 2823 = -201*z for n.
3
Solve 0 = c - 11*d - 72, 0 = 2*c - 26*d - 18*d + 52*d - 24 for c.
28
Solve 32 = -7*n + 2*i, -89*n + 47*n = -44*n - 3*i - 2 for n.
-4
Solve 51 + 331 = -2273*r + 2276*r - 79*b, 3*b = -r + 10 for r.
22
Solve 2*b + 408 = -4*u - 413 + 839, b - 5*u = -12 for b.
3
Solve 3*y = -126069*j + 126062*j - 49, 0 = 5*j - 2*y + 35 for j.
-7
Solve 31638*p - s - 44 = 31643*p, -58*p + 5*s = 527 for p.
-9
Solve -5*q - 33818*u + 150 = -33816*u, 0 = 4*q + 6*u - 120 for q.
30
Solve 40*j - 44*j - 1 - 16 = -3*g, 4*j + 5*g = 71 for j.
4
Solve 51*n - 5*y = 234, 0*n = 5*n + 3*y - 1540 + 1538 for n.
4
Solve 2*q - 12 = -4*h, -304 + 642 = -4*q + 173*h for q.
2
Solve -b - 4*h + 597 - 602 = 0, 22 = 3*b - 25*h for b.
-1
Solve 2*m - 29 = 5*s, 0 = 3*m - 4*s + 1121 - 1147 for m.
2
Solve -19 = -8*l - h, -4*l + 3*h + h + 852 = 856 for l.
2
Solve 0*u - u = -21*y + 75, u = 5*y - 2*u + 7*u - 56 for y.
4
Solve -s + 4*x = -34, -168*s + 32 = -166*s + x for s.
18
Solve 5*q + 130 = y, 4*y - 5*q = 202727 - 202582 for y.
5
Solve 5*m - 14*m - 492*f + 8 = -490*f, 5*f + 3 = m - 24 for m.
2
Solve -2*d + 10 = -1079*z + 1079*z + 2, d = 4*z - 2*d + 4 for z.
2
Solve -t - 3 + 1 = 3*n - 29, 0 = -144*n + 149*n - 5*t + 55 for n.
4
Solve -4*w + 1710643*f - 1710638*f + 41 = 0, 0 = -3*w - 3*f - 3 for w.
4
Solve 692*u + 74 = 695*u - 2*f, 3*u - 145 = 4*f + 15 for u.
-4
Solve 169*n - 166*n = -2*f - 2*f + 24, 3*n - f - 24 = 0 for n.
8
Solve -3*l + 33 = -l + 3*a, -10*l + 49*a = -22*l + 10*l + 447 for l.
3
Solve -18 = 303*w - 30 | {
"pile_set_name": "DM Mathematics"
} |
ator of -133/6 and (-12)/9 - 674/(-240).
120
Let b be (-38)/(-6) + 8/(-24). Suppose -32 = 2*z - b*z. Calculate the lowest common multiple of z and 8.
8
Suppose 9*g - 250 = 4*g. Suppose 0 = 5*s - 0*s - g. What is the least common multiple of (0 + 6)*(-1)/(-1) and s?
30
Let f(p) = p**3 + 2*p**2 - 2*p - 2. Suppose 10 = -d - 4*d. What is the lowest common multiple of f(d) and 8?
8
Let r = 7 + -4. Suppose r*z - 64 = -z. Calculate the smallest common multiple of z and 6.
48
Let w(z) = -z**3 + 6*z**2 - z + 2. Let b be w(6). Suppose -v + x = -x - 11, -2*x - 15 = -5*v. Calculate the smallest common multiple of (8 - 0)*(b + 5) and v.
8
Suppose w = 4*a + 4*w - 31, 5*a - 30 = 5*w. What is the least common multiple of 19 and a?
133
Let l = -851/28 - -113/4. Calculate the common denominator of (810/(-80))/(2 + -1) and l.
56
Let p(f) = -2*f - 1. Let k be p(6). What is the smallest common multiple of 5 and 2/(k/(-11) - 1)?
55
Let r be (1279/2)/((-1)/6). Let f = 34460/9 + r. What is the common denominator of f and -103/10?
90
Find the common denominator of 57/10 and 510/(-700)*(-14)/4.
20
Let f be (-2)/(-7) - 626/(-14). Find the common denominator of ((-10)/15)/(-2 + (-598)/(-309)) and f*1 + (-1)/(-2).
10
Let w = -486745/33 - -14752. Find the common denominator of w and -70/9.
99
Let n(o) be the third derivative of o**6/120 - o**5/12 - o**4/4 - o**3/3 - 4*o**2. Let f be n(6). What is the lowest common multiple of (-2)/f + 1 + -1 and 2?
2
Let g be (0 - 2) + (-8760)/(-68). Let k = g - 125. Find the common denominator of k and 19/2.
34
Suppose -r + 50 = 4*r. What is the least common multiple of 9 and r?
90
Let o(q) = -3*q**2 + 2*q - 1. Let a be o(1). Calculate the common denominator of 49/2 and ((-1)/a)/((-44)/4).
22
Let j be 3 + 4252/(-32) + -3. Let c = -132 - j. Find the common denominator of c and -89/4.
8
Let v be 5*(-8)/(-15)*-3. Let z(o) = o**2 + 6*o - 5. Calculate the least common multiple of 1 and z(v).
11
Let l = -16985/2247 - 4/321. Find the common denominator of l and -10/11.
77
Let k = -2/467 + 6083/2802. Calculate the common denominator of (4/(-30))/((-8)/(-470)) and k.
6
Let f(s) = 2*s**2 + 12*s - 14. Let r be f(-7). Suppose -5*a = 5*i - 35, 5*i = 2*a + 31 + 32. What is the smallest common multiple of 8 and -3 + i + 3 + r?
88
Suppose 0 = -2*m - m + 30. Suppose z = -z + j + 16, -z - 4*j = m. Calculate the least common multiple of (1 - z)*8/(-20) and 11.
22
Suppose 0 = 2*p + p - 66. Let c = p - 80/3. What is the common denominator of ((-12)/270)/((-2)/280) and c?
9
Suppose 0 = 2*r + 4*g + 5542, r + 2*g - 5566 = 3*r. Let l = -724/15 + 231/10. What is the common denominator of (-6)/(-21) - r/(-980) and l?
60
Let q(x) = -x**3 - 12*x**2 - 2*x + 8. Let z be q(-9). Find the common denominator of 2/(3/(78/44)) and z/(-56) - 2/(-2).
88
Let m = -385120699/880 + 2188334/5. Let v = 313/11 - m. What is the common denominator of 63/16 and v?
16
Let b be -1*-2*(-10)/(-4). Suppose -b*x + 16 = -x. Let a(r) = r**2 + 8*r - 12. Calculate the least common multiple of x and a(-10).
8
Let m(c) = -c**3 + 5*c**2 + 6. What is the least common multiple of m(5) and 1?
6
Let t be -1*31754/(-4) - -2. Let r = t + -103750565/13066. Let w = r + 646727/65330. Calculate the common denominator of w and 10/11.
110
Let h be 1/(-2) - 62/4. Let x = -14 - h. What is the lowest common multiple of 11 and x?
22
Calculate the lowest common multiple of 18 and 1/(-10)*12*-10.
36
Suppose 7*x = 3*x + 28. Suppose c - 11 = n, 3*c - 2*n + x = 45. Suppose 0 = 5*m + 29 - 79. What is the smallest common multiple of c and m?
80
Let h = -283596 + 1988853/7. Let i = -58385/112 + h. What is the common denominator of 31/6 and i?
48
Let p(f) = -2*f - 24. Calculate the least common multiple of p(-13) and 10.
10
Let u = 6 + -2. Let v be ((-65)/4)/(10/40). Let y = -43 - v. What is the lowest common multiple of y and u?
44
Let t = 47 - 29. Let f(g) = 3*g + 1. Calculate the least common multiple of f(7) and t.
198
Suppose -2*g - 2*g + 24 = 0. Find the common denominator of -19/3 and (-148)/8 + 2/g.
6
Let r be 0 - 18 - 3/(-3). Let y = r + 12. What is the smallest common multiple of 16 and ((-8)/(-10))/((-2)/y)?
16
Let v = 17 - 33. Let a(j) = -j**3 - 16*j**2 - j + 6. What is the lowest common multiple of 12 and a(v)?
132
Let n be (-2)/4 + (-27)/2. Let a = -365 + 3643/10. Calculate the common denominator of -2*(18/n - -1) and a.
70
Let c(i) = 8 - i**2 - 8*i + 2*i - 4*i. Let k(p) = -p - 2. Let j be k(8). What is the least common multiple of 16 and c(j)?
16
Suppose 25 = -3*l - 2*l, 0 = 2*h - 2*l + 84. Calculate the common denominator of -31/4 and h.
4
Suppose -3*s + 25 = -5*f - 6, 3*f + 13 = -s. Let r = 16 - s. Calculate the least common multiple of (-3 - 0)*4/(-6) and r.
14
Suppose -4 - 8 = -2*f. What is the least common multiple of 86 and f?
258
Let x be ((-8)/(-10))/(7/35). Suppose x*v - 2*v + 8 = 0. What is the lowest common multiple of (1 + v)/((-6)/44) and 6?
66
Calculate the lowest common multiple of 10 and (-6)/(-4)*244/3.
610
Let p be 6/(-15) - 18226/(-40). Let s be 453*(-2)/(-4)*2. Let f = p - s. Find the common denominator of f and 73/8.
8
Let p = 12766/14241 + -102/101. Let y = -4573/705 + p. Calculate the common denominator of 2/5 and y.
5
Let j = -10 - -18. Calculate the least common multiple of j and (-2 - 6/(-3)) + 8.
8
Suppose b + 3*b - 56 = 0. Let z = -3 + 10. Let f = 19 - z. What is the least common multiple of f and b?
84
Suppose 2*d = -5*s - 42 - 11, -96 = 3*d + 2*s. Let r = -339716/33635 - -1/13454. Calculate the common denominator of r and 0 + d/(-8)*3.
20
Suppose -2*m = l - 17, 4*l + 2*m = l + 35. Suppose 31 + l = 5*w. Calculate the smallest common multiple of w and 3.
24
Let y = -265 - -517/2. Calculate the common denominator of y and (-64)/130*10/4.
26
Let a(m) = -m**2 - 8*m + 2. Let b be a(-8). Calculate the common denominator of ((-114)/(-120))/(b/4) and -39/11.
110
Let y = 16 - 14. Calculate the lowest common multiple of 16 and y.
16
Suppose 4 = 2*t + 2*t. What is the lowest common multiple of (0 - 0) + 10 + t and 8?
88
Let u = 0 - 0. Suppose -2*x + 4*x - 8 = u. Let z = 11 + 7. What is the lowest common multiple of x and z?
36
Let o(c) = 4*c**2 - c**3 + c + 1 + 0 + 0*c. Let s be (2/(-5))/(13/(-65)). What is the lowest common multiple of o(s) and 10?
110
Let h = -470629905143/29240 - -16095414. Let y = 164776389/29240 - h. Let s = 5641 - y. Calculate the common denominator of -37/7 and s.
70
Let t = -4718/927 + -48/103. Find the common denominator of t and 19/5.
45
Calculate the common denominator of (138/(-21) - -4) + 4 and (-10)/(-6)*14/(-5).
21
Calculate the common denominator of 27/16 and (175/(-28))/(0/(-3) - -2).
16
Calculate the common denominator of -7/6 and (-4566)/(-540) - 2/5.
18
Suppose -5*q = -4*g - 18, 33 = 5*q + 3*g - 2*g. What is the smallest common multiple of 12 and q?
12
Let y be 24630/(-12) - (-1 + -1). Let d = y - -6097/3. Find the common denominator of -49/11 and d.
66
Let a = 6 - 15. Let t = 32 + -4. Calculate the common denominator of 59/10 and (-12)/a*66/t.
70
Let w be 56/(-10) - 8/20. Let c = 7 + w. What is the smallest common multiple of c and 5?
5
What is the common denominator of 186/(-8)*3/12 and 41/6?
48
Let g = 11885 - 237623/20. Calculate the common denominator of 55/16 and g.
80
What is the common denominator of 0 - -1 - 23/5 and -8/5?
5
Suppose 0 = 4*s - 4 + 24. Let c(x) = -x**3 - 6*x**2 - 6*x + 3. Let h(g) = g**3 + 5*g**2 - g + 3. Calculate the smallest common multiple of c(s) and h(-5).
8
Let y(b) = -3*b**3 - b**2 - b - 1. Let v be y(-1). Calculate the smallest common multiple of (3 - (-2 + 1))*v and 4.
8
Suppose 0 = -4*f + 8*f - 240. Suppose 3*m = l + f, -5*l + 3*l + 40 = 2*m. Calculate the least common multiple of m and 20.
20
Calculate the common denominator of (-2)/(-13) - 1394/(-234) and 107/10.
90
Suppose -4*b = -0*b - 248. Calculate the common denominator of 59/3 and (-2 - 0) + b/20.
30
Let f = -57 - -58. Calculate the least common multiple of f and (-3)/(-2)*(-40)/(-6).
10
Suppose 3*i - 33 = 5*l, -7*i = -3*i - 4*l - 36. Suppose -5 = -d - 2. Suppose d*c + 5*u + 7 = 0, c = 4*u + u + 31. What is the least common multiple of i and c?
6
Let k = -693/13 - -6163/130. Suppose 4*i + 6 = -2. Calculate the common denominator of 324/80 + i/(-8) and k.
10
| {
"pile_set_name": "DM Mathematics"
} |
is prob of picking 1 w, 1 s, and 1 t when three letters picked without replacement from tiwgsiijgtwswtwig?
3/85
Four letters picked without replacement from {j: 3, h: 5}. Give prob of picking 4 h.
1/14
Calculate prob of picking 1 k and 1 m when two letters picked without replacement from knnhmhhtnhom.
1/33
Calculate prob of picking 1 i, 1 t, and 1 z when three letters picked without replacement from {z: 5, i: 1, t: 3}.
5/28
Calculate prob of picking 3 g when three letters picked without replacement from rrzrrrrrgrggzggggr.
35/816
What is prob of picking 1 r and 2 e when three letters picked without replacement from {r: 6, e: 6}?
9/22
Two letters picked without replacement from lllhhll. What is prob of picking 1 h and 1 l?
10/21
Three letters picked without replacement from {j: 2, f: 7}. Give prob of picking 1 j and 2 f.
1/2
Calculate prob of picking 2 p when two letters picked without replacement from wpwwrpwprrwpp.
5/39
Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {o: 4, r: 3, c: 2, h: 1, l: 2}.
2/33
Two letters picked without replacement from gqqgqqyqqyqqyyy. Give prob of picking 2 g.
1/105
What is prob of picking 1 n, 1 k, 1 g, and 1 v when four letters picked without replacement from kznzrgvnk?
2/63
Three letters picked without replacement from qptqptqpwpt. What is prob of picking 2 p and 1 q?
6/55
Calculate prob of picking 1 p, 1 v, and 1 g when three letters picked without replacement from {g: 1, o: 3, v: 1, p: 2}.
2/35
Three letters picked without replacement from {q: 1, f: 8, v: 1, h: 8, c: 2}. What is prob of picking 1 v, 1 q, and 1 h?
2/285
Calculate prob of picking 2 h when two letters picked without replacement from {f: 1, y: 4, x: 3, v: 1, h: 7}.
7/40
Four letters picked without replacement from ofofbfffffoogfoff. What is prob of picking 1 g, 1 o, 1 b, and 1 f?
5/238
What is prob of picking 3 g and 1 j when four letters picked without replacement from ppgygjjggagggggpg?
12/119
Two letters picked without replacement from uurhjarax. What is prob of picking 1 r and 1 a?
1/9
Calculate prob of picking 1 m, 1 s, and 1 j when three letters picked without replacement from {j: 1, s: 8, m: 2, d: 5}.
1/35
Two letters picked without replacement from {s: 7, i: 6}. Give prob of picking 2 i.
5/26
Two letters picked without replacement from uxuuxbuxxssxxbs. Give prob of picking 2 u.
2/35
Two letters picked without replacement from drd. What is prob of picking 1 r and 1 d?
2/3
Calculate prob of picking 1 k, 1 d, 1 p, and 1 t when four letters picked without replacement from {t: 5, p: 1, k: 3, b: 1, d: 4, o: 1}.
4/91
Calculate prob of picking 1 z, 1 r, and 1 t when three letters picked without replacement from ztzzrzzrzzrzizitgi.
9/136
What is prob of picking 4 w when four letters picked without replacement from owowoww?
1/35
What is prob of picking 2 f and 1 r when three letters picked without replacement from rifiwiriwffiibrwrr?
5/272
Four letters picked without replacement from {g: 5, t: 4, b: 2, e: 4}. Give prob of picking 1 g, 1 e, 1 t, and 1 b.
32/273
What is prob of picking 1 y and 1 d when two letters picked without replacement from ddyyddd?
10/21
Calculate prob of picking 3 k and 1 c when four letters picked without replacement from {k: 3, c: 2, g: 3, r: 8}.
1/910
Three letters picked without replacement from zmmmmmzmm. What is prob of picking 3 m?
5/12
Two letters picked without replacement from hxhhhxhx. Give prob of picking 1 x and 1 h.
15/28
Two letters picked without replacement from nnnnnnnnn. Give prob of picking 2 n.
1
Calculate prob of picking 2 u and 2 n when four letters picked without replacement from {n: 1, g: 2, u: 7}.
0
What is prob of picking 1 m and 1 q when two letters picked without replacement from {q: 1, a: 3, d: 1, m: 7}?
7/66
What is prob of picking 2 x when two letters picked without replacement from gxxkkxkxxxtxqtkqgk?
7/51
Two letters picked without replacement from troonrj. Give prob of picking 1 o and 1 n.
2/21
Two letters picked without replacement from {j: 3, d: 2, s: 6, z: 1}. Give prob of picking 1 j and 1 z.
1/22
Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {h: 1, i: 2, p: 2, j: 2, n: 5, u: 1}.
10/143
What is prob of picking 1 r and 1 u when two letters picked without replacement from zzzrzzqqwuq?
1/55
What is prob of picking 1 l, 1 c, and 1 w when three letters picked without replacement from hcllljheewwhhl?
2/91
Two letters picked without replacement from {o: 1, f: 1, p: 5, n: 3, i: 2, y: 1}. Give prob of picking 1 p and 1 o.
5/78
Calculate prob of picking 1 f and 2 t when three letters picked without replacement from ntnnhftnnnnnnnhn.
1/560
Two letters picked without replacement from {x: 1, g: 1, z: 1, f: 1, e: 1}. Give prob of picking 1 e and 1 z.
1/10
Two letters picked without replacement from {j: 7, f: 8, z: 1, q: 1}. Give prob of picking 1 j and 1 q.
7/136
Two letters picked without replacement from kkkkkkkg. Give prob of picking 2 k.
3/4
Four letters picked without replacement from {w: 3, l: 1, x: 1, i: 2}. What is prob of picking 1 l, 1 x, and 2 i?
1/35
Calculate prob of picking 1 n and 1 q when two letters picked without replacement from qilinllqlq.
1/15
What is prob of picking 1 o and 1 y when two letters picked without replacement from {y: 6, o: 2}?
3/7
Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuunuuunuuuuuuu.
68/95
Calculate prob of picking 1 n and 1 u when two letters picked without replacement from uiiznuniiiziinozun.
4/51
Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {d: 2, e: 4, c: 3, t: 8}.
4/17
Calculate prob of picking 1 k, 1 x, and 1 r when three letters picked without replacement from {k: 5, r: 5, x: 2}.
5/22
Calculate prob of picking 1 e and 1 a when two letters picked without replacement from obezooabbbobobzzbba.
2/171
Calculate prob of picking 3 i when three letters picked without replacement from {i: 16, j: 4}.
28/57
Two letters picked without replacement from {l: 1, j: 6, p: 5, e: 3}. What is prob of picking 1 p and 1 j?
2/7
Three letters picked without replacement from eefffe. Give prob of picking 3 f.
1/20
Three letters picked without replacement from cusutrnrtnrn. What is prob of picking 1 c and 2 n?
3/220
Calculate prob of picking 1 j and 2 r when three letters picked without replacement from ddjrjrrdrddrdd.
5/91
What is prob of picking 3 n and 1 s when four letters picked without replacement from nnssnsssssssssss?
1/140
Calculate prob of picking 2 t when two letters picked without replacement from ojooogtotoj.
1/55
Calculate prob of picking 2 b and 1 l when three letters picked without replacement from {l: 4, b: 10}.
45/91
Four letters picked without replacement from oookoooookooookkoo. What is prob of picking 4 k?
1/3060
Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {t: 5, u: 3, o: 1}.
1/28
Four letters picked without replacement from {l: 11, s: 5}. What is prob of picking 4 l?
33/182
What is prob of picking 2 l when two letters picked without replacement from {x: 7, a: 1, l: 11}?
55/171
What is prob of picking 1 b, 1 r, and 1 h when three letters picked without replacement from {j: 2, r: 5, h: 1, t: 2, b: 2, a: 2}?
5/182
Calculate prob of picking 2 y when two letters picked without replacement from {o: 7, y: 12}.
22/57
Three letters picked without replacement from llllllllll. Give prob of picking 3 l.
1
Two letters picked without replacement from {z: 7, h: 2}. What is prob of picking 2 h?
1/36
Three letters picked without replacement from {i: 5, k: 2, m: 1, w: 1, g: 3}. Give prob of picking 1 m and 2 i.
1/22
Two letters picked without replacement from {j: 3, o: 12}. Give prob of picking 2 j.
1/35
Two letters picked without replacement from {n: 1, y: 4, p: 2, j: 3, v: 6, x: 4}. What is prob of picking 1 j and 1 x?
6/95
Calculate prob of picking 1 i and 3 v when four letters picked without replacement from {t: 1, s: 1, v: 9, i: 1}.
28/165
Three letters picked without replacement from cycyy. Give prob of picking 1 y and 2 c.
3/10
Three letters picked without replacement from {d: 1, h: 1, y: 2, m: 2, k: 1}. What is prob of picking 1 d, 1 y, and 1 h?
2/35
What | {
"pile_set_name": "DM Mathematics"
} |
Is -745 less than -790?
False
Which is greater: 36503 or 2/7?
36503
Which is greater: 2632/19 or 140?
140
Is -0.14 < 59130?
True
Which is bigger: -8 or 44046?
44046
Which is smaller: -148809 or -744047/5?
-744047/5
Which is smaller: 4622 or 4697?
4622
Which is bigger: 1.5 or -36/661?
1.5
Are 862 and 761 unequal?
True
Which is greater: -34342 or -34341?
-34341
Which is greater: -1/14 or -11040?
-1/14
Is 811165 at least as big as 3244663/4?
False
Which is smaller: 104572/149 or 702?
104572/149
Is 0.2767174 bigger than 0.1?
True
Which is smaller: 1 or -24/18535?
-24/18535
Is 5226 less than or equal to -56?
False
Is -1032529 <= -1032530?
False
Which is smaller: -5318 or -5317?
-5318
Does 645 = 3232/5?
False
Are -50 and 114.74 equal?
False
Which is bigger: -40367 or -3?
-3
Which is smaller: -73 or -7425/103?
-73
Is 5269/523 <= 10?
False
Is 19098 less than or equal to 19175?
True
Is 28454/747 at most as big as 37?
False
Is -4/603 < 1?
True
Which is bigger: 1 or 13/374?
1
Which is bigger: 0.2 or 457553?
457553
Which is smaller: 25111 or 25081?
25081
Do -82317/2 and -41159 have different values?
True
Which is greater: -314305 or -314307?
-314305
Which is bigger: 745 or 69897/94?
745
Is 3/22 bigger than -992?
True
Are 0.32158 and 0 equal?
False
Is 0 less than -177/247?
False
Is -186206 < -186208?
False
Which is smaller: -1631/519 or -4?
-4
Is 919809 less than 919807?
False
Is 248789 < -2/5?
False
Which is smaller: 142309 or 142305?
142305
Is 1149199 at most 1149199?
True
Is 11962 > 11964?
False
Which is smaller: -11.5 or -6644?
-6644
Which is smaller: 2119 or 2122?
2119
Do -1 and -18/14681 have different values?
True
Which is smaller: 8268 or 8270?
8268
Which is greater: 1/2724 or 1?
1
Is -5.36824 smaller than 1?
True
Which is smaller: -0.3 or -0.14467?
-0.3
Are 1/2286553 and 1 unequal?
True
Is -115/8266 not equal to -1?
True
Are 1344 and 41694/31 unequal?
True
Which is bigger: -2 or 39?
39
Which is bigger: -7574 or -7599?
-7574
Which is smaller: 667 or 2/31?
2/31
Which is greater: -30485/2 or -15242?
-15242
Which is smaller: -18549/4 or -4636?
-18549/4
Are 1 and -15100 unequal?
True
Which is smaller: 29189 or 0.11?
0.11
Is 1 less than 7/3919?
False
Is -11 at least 6996?
False
Is 4193 smaller than 0?
False
Which is smaller: 47 or -20?
-20
Which is greater: 168 or -0.19?
168
Which is greater: -89/436 or -133?
-89/436
Is 0 greater than or equal to -1/121304?
True
Which is bigger: -9144 or -9138?
-9138
Which is bigger: 0.0534 or -17.53?
0.0534
Is 3956 greater than or equal to 3940?
True
Are 105114 and 105114 unequal?
False
Is -1/55843 less than or equal to -1?
False
Which is smaller: -73/4190 or 0?
-73/4190
Is -1327 less than or equal to -9290/7?
False
Are -345756 and -345757 unequal?
True
Is 1.7 at most -31/5?
False
Is -1 >= 6/305545?
False
Is 9/21424 smaller than 0?
False
Is -2/48449 bigger than -1?
True
Which is smaller: 2990 or -278?
-278
Which is greater: 1 or -8/915449?
1
Is 4660 > 4541?
True
Is -281389 equal to -281390?
False
Which is bigger: -1 or -5/40874?
-5/40874
Do -2820 and 190 have different values?
True
Are 250.2 and -0.145 non-equal?
True
Which is smaller: -31 or -2189?
-2189
Which is smaller: -13/1905 or -1?
-1
Is 89/336 greater than 0?
True
Is -1917 >= -2149?
True
Is -56059 at most as big as -56027?
True
Which is smaller: 3/542977 or -1?
-1
Which is greater: 35623 or 35624?
35624
Is -13011 >= -2?
False
Which is smaller: 2/7 or -1109819?
-1109819
Are 8554 and 94086/11 equal?
False
Is 2538 greater than or equal to -0.35?
True
Is 0.2778 less than 22?
True
Is 546/107 less than 0.3?
False
Is 1 <= 1716/6785?
False
Which is smaller: 50884 or 203535/4?
203535/4
Is 1370 at least 6851/5?
False
Is -1002/1091 <= -1?
False
Is 1/4 greater than -422084?
True
Which is bigger: 3682 or 235/2?
3682
Which is bigger: 0.6008816 or 0.1?
0.6008816
Are -37337/10 and -3735 non-equal?
True
Is -1451 at most as big as -59543/41?
False
Which is smaller: -10/14839 or -1?
-1
Which is smaller: -3482213 or -3482212?
-3482213
Is 0 not equal to 840/1079?
True
Which is smaller: 1/2 or -11637?
-11637
Is 0.05 not equal to -488.6?
True
Is 76 at most as big as 2.45?
False
Which is bigger: 61/8 or -87?
61/8
Which is greater: -1 or 18/2975?
18/2975
Which is smaller: -252/6661 or 0?
-252/6661
Which is smaller: 94 or 0?
0
Is 1/11 <= 8486?
True
Is 118972/9 equal to 13218?
False
Is 124097 smaller than 124096?
False
Which is greater: 0.236 or 1/88?
0.236
Is -12 < 339?
True
Which is greater: -0.1 or -6.8911?
-0.1
Do -2006 and -2215 have the same value?
False
Is -23610 <= -23610?
True
Is -30/43 bigger than 0?
False
Do -3/4 and -13975 have the same value?
False
Is -0.1 < -95547?
False
Which is greater: -1/356 or 138/61?
138/61
Which is greater: 12886 or 7?
12886
Are 3971335 and 0.1 unequal?
True
Which is smaller: 4 or 1362.63?
4
Which is greater: -1 or 3/2209?
3/2209
Which is smaller: 8466 or 8468?
8466
Are -197639 and -197653 nonequal?
True
Which is greater: -104387 or -104389?
-104387
Are -1 and 164/1489 unequal?
True
Which is greater: -1396 or -876?
-876
Which is smaller: 18/26431 or 0?
0
Which is greater: -1 or -1/1924199?
-1/1924199
Is -20 at most as big as 167?
True
Which is smaller: -370.7 or 2?
-370.7
Are 95301 and 95300 nonequal?
True
Which is smaller: -1 or 38/1055?
-1
Which is greater: -1228 or -1225?
-1225
Which is smaller: 1/1182533 or 0?
0
Is -222 greater than or equal to -184?
False
Which is bigger: -1 or 3337219?
3337219
Do 14064/115 and 121 have different values?
True
Is 592570 less than 592569?
False
Which is greater: -1314/2725 or -1?
-1314/2725
Is -42739 greater than -42735?
False
Does -0.00965 = -0.05?
False
Which is smaller: -60.604 or -9?
-60.604
Which is greater: -31/11196 or 1?
1
Are 0 and 10/129259 unequal?
True
Which is greater: -7436 or -7437?
-7436
Is 903441 bigger than 903443?
False
Which is bigger: 3 or 5724?
5724
Which is bigger: -58918 or -59002?
-58918
Which is smaller: 756/29 or 1/32?
1/32
Which is bigger: -25129 or -25132?
-25129
Is -777 <= -92352/119?
True
Is 0 greater than -61/910?
True
Are 4707894 and 1 equal?
False
Which is bigger: 1 or 2/552631?
1
Is -1456707/5 at least -291340?
False
Is -167595 smaller than -167595?
False
Which is smaller: -28849 or -28856?
-28856
Which is smaller: -1 or -8/600161?
-1
Do 102464 and 102465 have different values?
True
Which is greater: 0 or -47/105?
0
Which is smaller: 5 or 2026/369?
5
Which is smaller: 326185 or 326191?
326185
Is 6/23 smaller than 0.1204?
False
Are 112909 and 112911 equal?
False
Is 2 at least as big as 20870?
False
Is 26510 greater than or equal to 26510?
True
Which is smaller: 400 or 907?
400
Is 145 <= 102?
False
Is -16 not equal to -8065/474?
True
Is 1293 >= 6461/5?
True
Is 0 greater than 2/721141?
False
Is -1504 < -1548?
False
Is 190 greater than 5279/28?
True
Which is smaller: 4482 or 130008/29?
4482
Which is bigger: -0.4 or -42?
-0.4
Which is smaller: 131 or 17268/133?
17268/133
Which is smaller: -261.5 or -3/41?
-261.5
Which is bigger: 1 or -182/1021?
1
Which is smaller: -1 or -89/41718?
-1
Is 11094226 at least 11094226?
True
Which is smaller: -2479 or 31?
-2479
Which is smaller: -6272 or -5?
-6272
Is -2/21 at most -4037.45?
False
Which is smaller: -482941 or -482942?
-482942
Are 20 and 0.02202 unequal?
True
Is 14522/5 != 2904?
True
Is -0.012 < -318?
False
Which is smaller: 6136 or -2/15?
-2/15
Which is smaller: -1/3 or -324/133?
-324/133
Which is greater: -820 or -5736/7?
-5736/7
Which is greater: 1 or -35/15878?
1
Which is bigger: -18058.9 or 18?
18
Is 0.01 greater than 1.111831?
False
Is 1/390 bigger than -2.735?
True
Is -1/1455 != 429/7?
True
Is 24 greater than or equal to 3839/157?
False
Which is smaller: 204087 or -1/3?
-1/3
Which is greater: 2775 or -1.82?
2775
Which is greater: 1779 or -24?
1779
Which is smaller: -4 or -228/1933?
-4
Which is greater: -749/116 or -6?
-6
Is 15/15764 at most as big as 1?
True
Is -14033/50 at most as big as -282?
False
Is -5081 at most as big as -116870/23?
False
Are 1 and -1/291796 unequal?
True
Which is greater: -2.7 or -7739?
-2.7
Is 62/72463 greater than -1?
True
Is 0 at most as big as -1/18775?
False
Do 12 and 710/67 have the same value?
False
Is -165 not equal to 22704?
True
Which is bigger: 2/7 or -10505.45?
2/7
Is -3.22 <= 0?
True
Are 56176 | {
"pile_set_name": "DM Mathematics"
} |
What is the ten millions digit of 41121008?
4
What is the ten thousands digit of 22773817?
7
What is the tens digit of 1291273314?
1
What is the ten thousands digit of 104782439?
8
What is the thousands digit of 10733609?
3
What is the tens digit of 168720967?
6
What is the hundred thousands digit of 926890587?
8
What is the hundreds digit of 514917689?
6
What is the tens digit of 32722453?
5
What is the units digit of 5947340205?
5
What is the ten millions digit of 174197499?
7
What is the hundreds digit of 58610722?
7
What is the thousands digit of 77519282?
9
What is the tens digit of 36717926?
2
What is the ten thousands digit of 195201816?
0
What is the hundreds digit of 1199818049?
0
What is the hundreds digit of 2949423998?
9
What is the units digit of 2201969680?
0
What is the ten thousands digit of 4542574249?
7
What is the tens digit of 2691030663?
6
What is the hundreds digit of 64937756?
7
What is the hundreds digit of 140161517?
5
What is the units digit of 291904504?
4
What is the millions digit of 39426237?
9
What is the units digit of 315687783?
3
What is the hundred millions digit of 6636371117?
6
What is the units digit of 56059504?
4
What is the hundreds digit of 97995399?
3
What is the hundred thousands digit of 194944410?
9
What is the millions digit of 10449943?
0
What is the tens digit of 503420151?
5
What is the hundreds digit of 41381990?
9
What is the hundred millions digit of 1537751111?
5
What is the thousands digit of 400759461?
9
What is the hundred thousands digit of 161998914?
9
What is the millions digit of 119391220?
9
What is the hundred millions digit of 104816624?
1
What is the ten millions digit of 540323714?
4
What is the units digit of 9114096?
6
What is the ten thousands digit of 2645866755?
6
What is the units digit of 66515218?
8
What is the ten millions digit of 272025635?
7
What is the thousands digit of 318140970?
0
What is the ten thousands digit of 397067724?
6
What is the ten thousands digit of 3901559743?
5
What is the units digit of 304653357?
7
What is the ten millions digit of 14401065?
1
What is the hundred thousands digit of 2599638679?
6
What is the thousands digit of 414311890?
1
What is the hundred millions digit of 194367794?
1
What is the hundred millions digit of 8530777779?
5
What is the ten millions digit of 1024463932?
2
What is the ten millions digit of 75848813?
7
What is the hundreds digit of 519316258?
2
What is the billions digit of 2446386506?
2
What is the hundreds digit of 135586613?
6
What is the millions digit of 43308136?
3
What is the hundred millions digit of 2422589297?
4
What is the hundred thousands digit of 14356822?
3
What is the millions digit of 3917817175?
7
What is the billions digit of 1564961408?
1
What is the units digit of 207611582?
2
What is the hundred thousands digit of 283683790?
6
What is the thousands digit of 169765119?
5
What is the hundred millions digit of 351496069?
3
What is the millions digit of 4457150462?
7
What is the thousands digit of 1852301806?
1
What is the ten millions digit of 260787133?
6
What is the units digit of 506844934?
4
What is the units digit of 57319530?
0
What is the hundred millions digit of 389852397?
3
What is the hundreds digit of 1693238652?
6
What is the ten millions digit of 216708338?
1
What is the hundred thousands digit of 201325692?
3
What is the units digit of 2485841636?
6
What is the units digit of 216430837?
7
What is the tens digit of 676348679?
7
What is the ten thousands digit of 887438103?
3
What is the tens digit of 1822638551?
5
What is the billions digit of 3534719990?
3
What is the hundred millions digit of 484876501?
4
What is the hundred thousands digit of 1093656775?
6
What is the hundred millions digit of 237305392?
2
What is the ten millions digit of 79466556?
7
What is the hundred thousands digit of 1555066?
5
What is the hundred thousands digit of 529309819?
3
What is the tens digit of 142396939?
3
What is the hundred thousands digit of 48003902?
0
What is the units digit of 418842360?
0
What is the millions digit of 25510784?
5
What is the billions digit of 3487227382?
3
What is the hundreds digit of 143882973?
9
What is the tens digit of 1190429820?
2
What is the millions digit of 257732214?
7
What is the hundreds digit of 440843538?
5
What is the hundreds digit of 60133361?
3
What is the hundred thousands digit of 46511716?
5
What is the ten thousands digit of 2127323347?
2
What is the units digit of 2721086434?
4
What is the thousands digit of 158741548?
1
What is the hundreds digit of 60367182?
1
What is the ten thousands digit of 59907951?
0
What is the hundreds digit of 31434916?
9
What is the hundreds digit of 1788628527?
5
What is the tens digit of 91247346?
4
What is the millions digit of 389449814?
9
What is the ten millions digit of 78713458?
7
What is the tens digit of 15367147?
4
What is the hundred thousands digit of 790778326?
7
What is the billions digit of 2859359981?
2
What is the hundred thousands digit of 89862738?
8
What is the hundreds digit of 128785074?
0
What is the millions digit of 7135521049?
5
What is the tens digit of 35789910?
1
What is the tens digit of 4334922651?
5
What is the ten millions digit of 39738143?
3
What is the hundreds digit of 107441746?
7
What is the ten millions digit of 75528657?
7
What is the ten thousands digit of 112553292?
5
What is the thousands digit of 653699176?
9
What is the ten thousands digit of 17396813?
9
What is the hundred thousands digit of 29357386?
3
What is the ten millions digit of 1657683975?
5
What is the hundred millions digit of 149444613?
1
What is the units digit of 2181682080?
0
What is the thousands digit of 5292065767?
5
What is the hundred millions digit of 4108496286?
1
What is the ten millions digit of 102553156?
0
What is the tens digit of 797395532?
3
What is the hundred millions digit of 957713410?
9
What is the millions digit of 300581769?
0
What is the tens digit of 36528985?
8
What is the thousands digit of 139404918?
4
What is the ten thousands digit of 65259658?
5
What is the ten millions digit of 237914765?
3
What is the ten thousands digit of 682733032?
3
What is the thousands digit of 110588074?
8
What is the ten thousands digit of 248248032?
4
What is the hundred thousands digit of 398758251?
7
What is the millions digit of 82237734?
2
What is the ten millions digit of 487653500?
8
What is the thousands digit of 3458151801?
1
What is the tens digit of 370911276?
7
What is the ten millions digit of 3626922417?
2
What is the units digit of 42561629?
9
What is the hundred thousands digit of 2863851274?
8
What is the hundred thousands digit of 2352267591?
2
What is the hundred millions digit of 4784615974?
7
What is the hundreds digit of 6637017116?
1
What is the tens digit of 77476065?
6
What is the millions digit of 121145345?
1
What is the ten millions digit of 4192344544?
9
What is the ten thousands digit of 1094647297?
4
What is the millions digit of 1291671107?
1
What is the thousands digit of 129563598?
3
What is the ten thousands digit of 65804952?
0
What is the tens digit of 889806465?
6
What is the hundreds digit of 170047204?
2
What is the hundred thousands digit of 70745722?
7
What is the ten thousands digit of 50476378?
7
What is the billions digit of 3001098362?
3
What is the hundred thousands digit of 8910636?
9
What is the hundred millions digit of 1065538909?
0
What is the tens digit of 2777033?
3
What is the ten millions digit of 288381605?
8
What is the ten millions digit of 2245175996?
4
What is the thousands digit of 166932535?
2
What is the hundreds digit of 16799838?
8
What is the ten millions digit of 231492588?
3
What is the ten thousands digit of 592793349?
9
What is the tens digit of 508742524?
2
What is the millions digit of 1495909910?
5
What is the hundred millions digit of 144739453?
1
What is the hundred millions digit of 225603674?
2
What is the ten millions digit of 91311214?
9
What is the ten millions digit of 1311204854?
1
What is the hundreds digit of 3561856675?
6
What is the units digit of 54352860?
0
What is the thousands digit of 444661741?
1
What is the hundred thousands digit of 6197359?
1
What is the units digit of 1244450352?
2
What is the millions di | {
"pile_set_name": "DM Mathematics"
} |
59415?
60459418
What is the next term in -808, -2737, -5780, -9943, -15232, -21653, -29212, -37915?
-47768
What comes next: -8433, -17308, -26611, -36342?
-46501
What is the next term in 234488, 468822, 703156?
937490
What comes next: -590952, -1181914, -1772872, -2363826?
-2954776
What comes next: 1305408, 1305528, 1305854, 1306488, 1307532, 1309088, 1311258, 1314144?
1317848
What is next in 452083, 904326, 1356575, 1808830, 2261091?
2713358
What is next in -20992, -20850, -20704, -20554, -20400, -20242?
-20080
What is the next term in 6747, 10384, 14021?
17658
What is the next term in -390740, -390648, -390552, -390452, -390348, -390240?
-390128
What is next in 217, 1861, 6321, 15001, 29305, 50637, 80401?
120001
What is the next term in -29340, -58704, -88022, -117270, -146424, -175460, -204354, -233082?
-261620
What is the next term in -1303719, -1303826, -1303933, -1304040, -1304147?
-1304254
What is next in -5074, -7556, -10038, -12520, -15002?
-17484
What is the next term in 1714586, 1714660, 1714734?
1714808
What is next in -21625830, -43251681, -64877554, -86503449?
-108129366
What is the next term in -12812, -3544, 5726, 14998, 24272, 33548, 42826?
52106
What comes next: -1945, 3220, 17263, 44630, 89767?
157120
What is the next term in 705, 1435, 2495, 4047, 6253, 9275, 13275?
18415
What is next in -897192, -897191, -897190, -897189, -897188, -897187?
-897186
What is the next term in 771035, 771051, 771067?
771083
What is next in 920, 1878, 2852, 3842, 4848, 5870, 6908?
7962
What is the next term in -15827092, -15827094, -15827096?
-15827098
What is the next term in 138877, 139392, 139907, 140422, 140937?
141452
What is next in -78972789, -78972787, -78972785, -78972783, -78972781, -78972779?
-78972777
What comes next: -27206, -27170, -27120, -27056, -26978?
-26886
What is the next term in -162, 46, 218, 210, -122?
-922
What is next in 955468, 3821911, 8599328, 15287725, 23887108, 34397483, 46818856?
61151233
What is the next term in -9693, -77374, -260947, -618318, -1207393, -2086078?
-3312279
What comes next: -25327, -24694, -24061?
-23428
What is the next term in -26861, -53199, -79609, -106127, -132789, -159631?
-186689
What comes next: 210150163, 840600643, 1891351443, 3362402563, 5253754003?
7565405763
What is next in -2950210, -5900425, -8850640?
-11800855
What is the next term in -4587, -6106, -7633, -9168, -10711?
-12262
What is next in 261816, 523502, 785188, 1046874, 1308560, 1570246?
1831932
What comes next: -2367724, -2367792, -2367860, -2367928?
-2367996
What is next in 421498, 422827, 424156?
425485
What comes next: -20761, -41089, -61415, -81739, -102061, -122381, -142699?
-163015
What is the next term in -38450290, -153801159, -346052608, -615204637, -961257246?
-1384210435
What is the next term in 3318795, 3318799, 3318803, 3318807?
3318811
What is next in 977878, 977863, 977822, 977743, 977614, 977423, 977158, 976807?
976358
What is next in 1313502, 1313508, 1313518, 1313532, 1313550?
1313572
What is the next term in 162771, 325501, 488223, 650937?
813643
What is next in -205589, -822978, -1852165, -3293150, -5145933, -7410514?
-10086893
What comes next: -1385454, -2770597, -4155740, -5540883, -6926026, -8311169?
-9696312
What is the next term in -493, -4460, -15223, -36178, -70721, -122248, -194155?
-289838
What comes next: 4465, 20923, 37381, 53839?
70297
What is next in 727778, 1455561, 2183344, 2911127, 3638910?
4366693
What is next in -21981748, -43963496, -65945244?
-87926992
What comes next: 226829, 228492, 230145, 231782, 233397, 234984, 236537, 238050?
239517
What is the next term in 37354, 45099, 52840, 60577?
68310
What is next in 3910, 7642, 11374, 15106, 18838?
22570
What comes next: -7203, -54775, -183069, -432447, -843271, -1455903, -2310705, -3448039?
-4908267
What is next in 123766, 494854, 1113334, 1979206, 3092470, 4453126?
6061174
What is next in 729170, 1458320, 2187472, 2916626, 3645782?
4374940
What is next in 65519, 130543, 195081, 259139, 322723?
385839
What is the next term in 52312, 52423, 52538, 52657, 52780, 52907?
53038
What is next in -3643, -7267, -10891, -14515, -18139, -21763?
-25387
What is the next term in -89526616, -89526624, -89526632, -89526640, -89526648?
-89526656
What comes next: 9224, 18408, 27606, 36818, 46044, 55284, 64538?
73806
What comes next: -6273744, -6273742, -6273740?
-6273738
What is next in 297935, 596018, 894101, 1192184, 1490267?
1788350
What is the next term in -39260, -157239, -353908, -629267, -983316?
-1416055
What is next in -8069, -7930, -7703, -7388, -6985, -6494?
-5915
What is next in 4077, 9447, 18385, 30885, 46941, 66547?
89697
What is the next term in -1292869, -1292860, -1292851?
-1292842
What is next in 3582, 7256, 11020, 14874?
18818
What is next in -76276, -76147, -76014, -75877, -75736, -75591, -75442?
-75289
What comes next: 2385, 5472, 8559?
11646
What is next in 143552, 287175, 430798, 574421, 718044, 861667?
1005290
What is next in 796121, 1591485, 2386849, 3182213?
3977577
What is the next term in 15941957, 15941917, 15941877, 15941837?
15941797
What comes next: 79, 525, 1763, 4189, 8199, 14189, 22555, 33693?
47999
What comes next: -1253, -4937, -14855, -34121, -65849, -113153?
-179147
What is the next term in -19296720, -19296752, -19296782, -19296810?
-19296836
What is the next term in 41665, 41055, 40407, 39703, 38925, 38055, 37075, 35967?
34713
What is next in 191068, 189850, 187820, 184978, 181324, 176858, 171580?
165490
What is the next term in -120345, -120739, -121133?
-121527
What is next in -162, 325, 1196, 2445, 4066, 6053?
8400
What is the next term in 1764453, 1764470, 1764487, 1764504, 1764521, 1764538?
1764555
What is the next term in 143294, 143312, 143326, 143336?
143342
What comes next: -153959, -154403, -154847, -155291?
-155735
What comes next: -1555202, -3110519, -4665838, -6221159, -7776482?
-9331807
What comes next: 37910, 37674, 37282, 36734?
36030
What comes next: 8487, 16963, 25451, 33945, 42439?
50927
What comes next: -42588, -69608, -96628, -123648, -150668?
-177688
What is the next term in -261499, -1046041, -2353613, -4184215, -6537847?
-9414509
What is next in -1597, -3195, -4815, -6463, -8145, -9867?
-11635
What comes next: 7926, 8008, 8150, 8346, 8590, 8876?
9198
What is next in 2418461, 2418459, 2418457, 2418455?
2418453
What is the next term in -14, -66, -126, -200, -294, -414, -566, -756?
-990
What is next in -42926, -86629, -131082, -176285, -222238, -268941?
-316394
What is next in 20314789, 20314784, 20314779, 20314774?
20314769
What is next in 45814806, 91629609, 137444412, 183259215, 229074018?
274888821
What comes next: 10802, 21687, 32658, 43721, 54882, 66147?
77522
What is the next term in -3606849, -14427292, -32461339, -57708996, -90170269, -129845164, -176733687?
-230835844
What comes next: 625, 580, 463, 238, -131?
-680
What is next in -1184, -3108, -8342, -18536, -35340, -60404, -95378, -141912?
-201656
What is the next term in 403308, 806579, 1209852, 1613127, 2016404, 2419683, 2822964?
3226247
What is next in -4582677, -9165200, -13747723, -18330246, -22912769?
-27495292
What is next in -71873, -143760, -215663, -287582?
-359517
What comes next: -1684, -7735, -18272, -33301, -52828?
-76859
What comes next: 6605385, 13210771, 19816155, 26421537?
33026917
What is the next term in -234123, -936252, -2106465, -3744762?
-5851143
What comes next: -23800, -23773, -23708, -23593, -23416?
-23165
What is next in -857, -8210, -28695, -68948, -135605, -235302, -374675?
-560360
What comes next: 14117, 11566, 9015, 6464?
3913
What is next in -7428225, -7428235, -7428245?
-7428255
What comes next: 543, 3727, 12373, 29211, 56971, 98383?
156177
What comes next: -9758523, -19517049, -29275575?
-39034101
What comes next: -12843703, -25687431, -38531157, -51374881, -64218603, -77062323?
-89906041
What is the next term in -9923983, -19847960, -29771935, -39695908, -49619879?
-59543848
What is next in 672, 5360, 18134, 43038, 84116, 145412, 230970?
344834
What is next in 2676, 2162, 1890, 1980, 2552, 3726, 5622?
8360
What is next in 211522, 423041, 634574, 846127, 1057706?
1269317
What is the next term in -2151549, -2151560, -2151571, -2151582, -2151593?
-2151604
What comes next: -43668, -348636, -1176250 | {
"pile_set_name": "DM Mathematics"
} |
ate prob of sequence bd when two letters picked without replacement from bofdf.
1/20
Two letters picked without replacement from aiidsiv. Give prob of sequence sv.
1/42
What is prob of sequence gpp when three letters picked without replacement from pgpggpgppggggg?
15/182
Two letters picked without replacement from {b: 1, e: 1, s: 4, m: 1, x: 5}. Give prob of sequence bs.
1/33
Three letters picked without replacement from vvvevqvvvvvvvvqvvqve. What is prob of sequence qeq?
1/570
What is prob of sequence cklg when four letters picked without replacement from {c: 1, l: 1, d: 1, g: 1, k: 1}?
1/120
What is prob of sequence ro when two letters picked without replacement from woobbozrzbbzozrbrzr?
8/171
Calculate prob of sequence rj when two letters picked without replacement from {j: 1, r: 1, e: 2, h: 3}.
1/42
Calculate prob of sequence rvrv when four letters picked without replacement from grvvfbvhrbvggfvbvv.
7/6120
Three letters picked without replacement from dmjmrmmbdrdtrbjmdm. What is prob of sequence jbb?
1/1224
Four letters picked without replacement from {q: 9, f: 2, k: 1, v: 3, b: 2, s: 1}. Give prob of sequence bsfb.
1/18360
Two letters picked without replacement from ddsrddrdrrsrrrrrrrr. What is prob of sequence rr?
22/57
Calculate prob of sequence lmmt when four letters picked without replacement from {c: 3, m: 4, l: 1, t: 6}.
3/1001
Calculate prob of sequence dddd when four letters picked without replacement from {d: 6}.
1
What is prob of sequence jk when two letters picked without replacement from {k: 1, j: 2, b: 3, a: 4}?
1/45
Calculate prob of sequence sx when two letters picked without replacement from ffsxoosvfssx.
2/33
What is prob of sequence ucn when three letters picked without replacement from {c: 1, n: 2, l: 1, d: 1, f: 1, u: 1}?
1/105
What is prob of sequence cc when two letters picked without replacement from {c: 3, m: 2, o: 2, a: 2}?
1/12
Calculate prob of sequence gqd when three letters picked without replacement from wdgdgqggqggdggwqgd.
3/136
Two letters picked without replacement from qqcqcqqqccqqcq. Give prob of sequence cc.
10/91
Four letters picked without replacement from {m: 8, y: 5}. What is prob of sequence mmym?
14/143
What is prob of sequence vfk when three letters picked without replacement from wfzcvkw?
1/210
What is prob of sequence ee when two letters picked without replacement from {e: 2, z: 11}?
1/78
Two letters picked without replacement from {w: 3, u: 2, p: 2, e: 6, s: 1, t: 1}. Give prob of sequence tp.
1/105
Three letters picked without replacement from eeegegoogoeh. Give prob of sequence hge.
1/88
Calculate prob of sequence fbib when four letters picked without replacement from bifibbbiiibbbbiibb.
7/816
Two letters picked without replacement from {g: 3, a: 7, u: 2}. Give prob of sequence gg.
1/22
Two letters picked without replacement from {k: 1, t: 2, c: 2, b: 8}. What is prob of sequence bc?
4/39
What is prob of sequence sqs when three letters picked without replacement from {s: 3, q: 12}?
12/455
Two letters picked without replacement from {l: 1, u: 3, p: 3}. What is prob of sequence pp?
1/7
Calculate prob of sequence oohc when four letters picked without replacement from {b: 1, h: 1, p: 7, c: 1, o: 10}.
1/1292
Four letters picked without replacement from {b: 3, u: 1, s: 4, e: 1, j: 2}. Give prob of sequence essu.
1/660
Calculate prob of sequence vn when two letters picked without replacement from {q: 1, u: 2, n: 1, y: 2, v: 1, r: 1}.
1/56
Two letters picked without replacement from {k: 1, s: 1, c: 4, u: 2}. What is prob of sequence cu?
1/7
Four letters picked without replacement from leelij. Give prob of sequence ljil.
1/180
What is prob of sequence bb when two letters picked without replacement from ppbqmb?
1/15
What is prob of sequence gc when two letters picked without replacement from cgcgww?
2/15
Three letters picked without replacement from {i: 4, g: 6}. What is prob of sequence igi?
1/10
Two letters picked without replacement from qbqaqaqbbbqbqqbaqqqa. What is prob of sequence ba?
6/95
Calculate prob of sequence xu when two letters picked without replacement from xusneuxnxxxxunen.
3/40
Two letters picked without replacement from oqoooooqoooooqodoooo. Give prob of sequence dq.
3/380
Two letters picked without replacement from ixixnn. What is prob of sequence xx?
1/15
Two letters picked without replacement from aatsatajttotjsaagagj. What is prob of sequence ts?
1/38
Two letters picked without replacement from hssshs. Give prob of sequence hs.
4/15
Calculate prob of sequence exmd when four letters picked without replacement from {m: 4, d: 1, e: 2, x: 1}.
1/210
What is prob of sequence fv when two letters picked without replacement from vvffvvkfvvfvfffvvvff?
9/38
Three letters picked without replacement from {o: 2, e: 4, v: 10}. Give prob of sequence eeo.
1/140
Calculate prob of sequence mggm when four letters picked without replacement from {o: 2, m: 3, b: 2, g: 2, w: 4}.
1/1430
What is prob of sequence nnn when three letters picked without replacement from {i: 8, n: 3}?
1/165
Four letters picked without replacement from kqkqhkhthh. Give prob of sequence qqhk.
1/210
What is prob of sequence cj when two letters picked without replacement from xoxxjxcxoxxj?
1/66
Calculate prob of sequence wnl when three letters picked without replacement from adnlnwnadwnnwnnln.
1/85
Two letters picked without replacement from mmmmmmfmfffmmmmfmmm. Give prob of sequence fm.
35/171
Four letters picked without replacement from wgdgddg. What is prob of sequence gdgd?
3/70
Two letters picked without replacement from {p: 2, c: 5, e: 3, t: 2, o: 3}. Give prob of sequence oo.
1/35
What is prob of sequence gg when two letters picked without replacement from jpzgigbppgz?
3/55
What is prob of sequence nfnf when four letters picked without replacement from fnfnfn?
1/10
Three letters picked without replacement from goiig. Give prob of sequence iog.
1/15
Two letters picked without replacement from {o: 1, f: 2, h: 4}. What is prob of sequence of?
1/21
Calculate prob of sequence gg when two letters picked without replacement from {g: 3, c: 1, w: 8, q: 1, o: 2, d: 5}.
3/190
Two letters picked without replacement from yywhew. What is prob of sequence ye?
1/15
Two letters picked without replacement from {g: 5, r: 2, s: 3, y: 1, d: 1}. Give prob of sequence dr.
1/66
Calculate prob of sequence aq when two letters picked without replacement from hadddqa.
1/21
Two letters picked without replacement from {t: 1, h: 1, u: 1, o: 1, d: 4}. What is prob of sequence ht?
1/56
What is prob of sequence oewq when four letters picked without replacement from {e: 1, q: 1, w: 3, z: 7, o: 1}?
1/5720
What is prob of sequence bb when two letters picked without replacement from bbbbbb?
1
Three letters picked without replacement from {u: 5, v: 3, d: 1, k: 1, o: 3}. Give prob of sequence ovu.
15/572
Calculate prob of sequence weee when four letters picked without replacement from ewwewwe.
1/35
Calculate prob of sequence qt when two letters picked without replacement from {v: 5, q: 2, t: 6}.
1/13
Three letters picked without replacement from {f: 5, d: 2}. Give prob of sequence ddf.
1/21
Two letters picked without replacement from hpphpppiea. What is prob of sequence ep?
1/18
What is prob of sequence ii when two letters picked without replacement from ciiciiiiiiiii?
55/78
What is prob of sequence ywmt when four letters picked without replacement from {p: 1, y: 1, t: 1, m: 1, w: 1}?
1/120
Calculate prob of sequence tozz when four letters picked without replacement from {y: 1, t: 7, o: 1, x: 1, z: 4, b: 4}.
7/6120
Two letters picked without replacement from ggrcwcccpggcccp. Give prob of sequence rp.
1/105
Two letters picked without replacement from {m: 1, r: 2, q: 1, h: 2, g: 1}. What is prob of sequence rg?
1/21
What is prob of sequence hh when two letters picked without replacement from ehieiiihihihh?
5/39
What is prob of sequence haac when four letters picked without replacement from ggghhagvaahcgaav?
1/728
What is prob of sequence ddmm when four letters picked without replacement from metmdd?
1/90
What is prob of sequence jwp when three letters picked without replacement from wpjwj?
1/15
Two letters picked without replacement from {h: 3, y: 2, a: 5}. | {
"pile_set_name": "DM Mathematics"
} |
tive of 5*g**6/6 - 2*g**3 - 5*g - 4. Let m(z) be the first derivative of v(z). What is the second derivative of m(s) wrt s?
300*s**2
Suppose -7 = x - 9. Differentiate -19*p**2 + 3 + 0*p**2 + 6*p**x with respect to p.
-26*p
Let q(r) be the second derivative of 0*r**5 + 17/6*r**3 + 0 + 0*r**2 + 0*r**4 - r + 4/21*r**7 + 0*r**6. Find the second derivative of q(c) wrt c.
160*c**3
Let w(h) = -273*h**3 + 4*h**2 - 2*h + 41. Let x(f) = 274*f**3 - 6*f**2 + 3*f - 38. Let m(d) = 3*w(d) + 2*x(d). Find the first derivative of m(k) wrt k.
-813*k**2
Let q(n) = -n - 1. Let w be -3*(-5)/((-60)/(-4)). Let m(l) = 2*l**2 - 8*l - 2. Let f(g) = w*m(g) - 2*q(g). Find the second derivative of f(y) wrt y.
4
Let t(r) be the second derivative of 85*r**4/12 + 41*r**3/6 - 25*r - 2. Find the second derivative of t(a) wrt a.
170
What is the derivative of -5*d**2 - 12*d**4 - 32 + 4*d**2 - 91*d**4 - 43 + 3*d**2 wrt d?
-412*d**3 + 4*d
Suppose -3*j + 12 = 2*y, -7*y - 4*j = -4*y - 17. What is the derivative of 3*w - 1 - y - 13*w - 6 wrt w?
-10
Let s(n) = 23*n**2 - 61*n + 4. Let z(d) = 19*d**2 - 7*d**2 - 4 - 30*d + 6. Let p(c) = 6*s(c) - 11*z(c). Find the second derivative of p(i) wrt i.
12
Let q(r) = r**2 + 10*r + 12. Let j be q(-8). Let u be 0 + j + 13 + -2. What is the third derivative of u*f**6 - 10*f**2 + 12*f**2 + 6*f**2 wrt f?
840*f**3
Suppose -a - 4 = 2*l, 4*l + 0*l = 4*a - 8. Let x(j) = j**3 - j**2 + 4. Let u be x(a). What is the derivative of 6*m - 2*m - m - u wrt m?
3
Let u(g) = -61*g - 363. Let q(o) = -20*o - 121. Let t(b) = 8*q(b) - 3*u(b). What is the first derivative of t(f) wrt f?
23
Differentiate -91 - 128 - 60 - 476*d - 102*d + 50 with respect to d.
-578
Let v(w) be the third derivative of -32*w**6/15 - 4*w**5/15 - w**4/12 + 520*w**2. What is the third derivative of v(t) wrt t?
-1536
What is the third derivative of -2*d**2 - 9*d**3 + 35*d - 16*d**3 + 0*d**2 wrt d?
-150
Let t(h) be the third derivative of -13*h**8/112 - h**7/42 - h**5/10 - h**3 - 32*h**2 - 8. Find the third derivative of t(s) wrt s.
-2340*s**2 - 120*s
Let v(b) be the first derivative of -23*b**5/20 - 11*b**3/3 + 22*b - 14. Let s(f) be the first derivative of v(f). Find the second derivative of s(y) wrt y.
-138*y
Let z(b) be the second derivative of -5*b**5/2 - 7*b**3/6 + 3*b**2/2 - 16*b - 2. Find the second derivative of z(j) wrt j.
-300*j
Let z(k) = 41*k**3 + 13*k**2 + 3*k - 13. Let f(o) = o - o**2 + o + 20*o**3 - 6 + 7*o**2. Let r(p) = 13*f(p) - 6*z(p). Find the second derivative of r(c) wrt c.
84*c
Let f = 59 + -48. What is the first derivative of 12 + f*p + 1 + 7 wrt p?
11
Let a(o) be the second derivative of 110*o**7/21 - 347*o**4/12 + 344*o. Find the third derivative of a(g) wrt g.
13200*g**2
Let t(w) be the second derivative of 3 + 2*w + 17/12*w**4 + 0*w**3 - 57/2*w**2. Differentiate t(l) with respect to l.
34*l
Let r(q) be the third derivative of -233*q**6/60 - 95*q**5/12 - 400*q**2. Find the third derivative of r(k) wrt k.
-2796
Let i = 35 - 15. Find the first derivative of n - 6*n + i*n - 47 wrt n.
15
Suppose -63*f + 180 = -72. Let p(m) be the first derivative of 9/5*m**5 + 2 + 0*m**2 + 0*m**f - 4/3*m**3 + 0*m. What is the third derivative of p(k) wrt k?
216*k
Let x(j) be the third derivative of -61*j**4/3 + 143*j**3/6 - 358*j**2. Differentiate x(v) with respect to v.
-488
Let m = -10 - -16. Let b be m/15 - 32/(-20). Find the first derivative of 4 - 6*k - b - 3 + 6 wrt k.
-6
What is the third derivative of 22*s**2 - 2*s**2 - 3*s**2 - 2 - 87*s**3 - 3 + 3*s**2 wrt s?
-522
Suppose -26 = -5*v - 6. Suppose s + 9 = v*s. Find the second derivative of x**2 + x + 2*x - 2*x + s*x wrt x.
2
What is the third derivative of 22*i**3 - 33*i**3 - 39*i**3 - 11*i**3 + 95*i**2 wrt i?
-366
Let b(y) be the first derivative of 40 + 21/2*y**4 + 0*y**3 + 9*y**2 + 0*y. Find the second derivative of b(m) wrt m.
252*m
Let c(h) be the second derivative of -23*h**4/3 - 5*h**3/6 + 282*h**2 - 479*h. Differentiate c(p) wrt p.
-184*p - 5
Let v(o) be the second derivative of 0*o**4 - 2/15*o**6 - 5*o + 0*o**3 + 0*o**5 + 0 + 6*o**2. What is the derivative of v(a) wrt a?
-16*a**3
Let t(l) = 350*l**4 - 25*l**3 + 25*l**2 + 25*l - 200. Let c(v) = v**4 - v**3 + v**2 + v - 1. Let b(n) = -25*c(n) + t(n). Differentiate b(f) wrt f.
1300*f**3
Let t be 2/29 - (1056/174 - 8). Let z(u) be the first derivative of -10 + 0*u + 8/3*u**3 - 13/2*u**t. What is the second derivative of z(y) wrt y?
16
Let f(u) = 19*u**4 - 209*u**3 - 19*u + 9. Let n(a) = -6*a**4 + 70*a**3 + 7*a - 3. Let i(b) = -4*f(b) - 13*n(b). Find the second derivative of i(z) wrt z.
24*z**2 - 444*z
Let x(c) be the first derivative of -2*c**5/5 - 13*c**4/4 - 2*c**3/3 + 31*c**2/2 + 43. What is the third derivative of x(h) wrt h?
-48*h - 78
Let v(o) be the first derivative of o**8/336 - o**4/4 + 12*o**3 + 35. Let t(x) be the third derivative of v(x). Differentiate t(k) with respect to k.
20*k**3
Let f(g) = 4*g + 8. Let a be f(-1). Find the third derivative of w**5 + 4*w**2 - 1626*w**3 + 10*w**a + 1626*w**3 - 9*w wrt w.
60*w**2 + 240*w
Let n(b) be the second derivative of -2*b + 9/4*b**5 + 5/12*b**4 + 0*b**2 + 5/6*b**3 - 21. What is the third derivative of n(a) wrt a?
270
What is the third derivative of 14*a**5 + 14*a**5 - 32*a**4 - a**2 - 4*a + 12*a**4 + 18*a**4 wrt a?
1680*a**2 - 48*a
Let d(v) be the second derivative of -31*v**7/14 - 215*v**4/6 + 51*v - 3. Find the third derivative of d(u) wrt u.
-5580*u**2
Let t(f) be the first derivative of 109*f**3/3 + 2*f - 93. What is the derivative of t(g) wrt g?
218*g
Let k(x) be the first derivative of -x**6/2 - 15*x**4/2 - 69*x**2 + 18. Find the second derivative of k(r) wrt r.
-60*r**3 - 180*r
What is the third derivative of 431*y**3 + 50 + 5457*y**2 - 14*y**3 - 5456*y**2 wrt y?
2502
Let q(g) be the second derivative of -2*g**5 + 53*g**4/12 + 47*g + 2. What is the third derivative of q(o) wrt o?
-240
What is the second derivative of 8*q**3 - 130 - 385*q - 8*q**3 + 85*q**5 - 2*q**2 + 131 wrt q?
1700*q**3 - 4
Let o(k) be the first derivative of -16*k**4 - 2*k + 45. Differentiate o(j) with respect to j.
-192*j**2
Let a(v) be the second derivative of -367*v**3/6 - 637*v**2/2 + 2*v + 155. Differentiate a(x) with respect to x.
-367
Let j(m) = -46*m**3 - 3*m**2 - 58*m + 6. Let s(f) = -185*f**3 - 13*f**2 - 232*f + 26. Let d(h) = -26*j(h) + 6*s(h). Find the second derivative of d(q) wrt q.
516*q
Find the third derivative of 0*k**2 + 9288*k**4 + 19*k**2 + 197*k**5 - 9288*k**4 wrt k.
11820*k**2
Let f(z) = 3*z**3 + 6*z**2 + 14*z - 56. Let j(o) = 2*o**3 + 3*o**2 + 8*o - 27. Let u(p) = -4*f(p) + 7*j(p). What is the first derivative of u(b) wrt b?
6*b**2 - 6*b
Let f(l) = -3*l - 3. Let c(u) = -781*u - 684. Let y(i) = c(i) + 3*f(i). What is the first derivative of y(v) wrt v?
-790
Suppose 2*i = 3*i. Suppose i = -3*a + 5*t + 23 + 3, -3*a + 2*t = -14. What is the second derivative of 137 - 137 - 4*f - 5*f**a wrt f?
-10
Let h(y) = 164*y**2 + 54*y + 11. Let f(v) = -2 + 6*v**2 + 0 - 11*v - 39*v**2. Let w(x) = 11*f(x) + 2*h(x). Find the second derivative of w(l) wrt l.
-70
Let x(u) be the second derivative of -23*u**4/6 - 23*u**3/6 - u**2/2 + 57*u. Find the second derivative of x(q) wrt q.
-92
Let k(b) be the second derivative of -2/21*b**7 + 0*b**2 + 7/3*b**3 + 0*b**4 + 0*b**5 + 0 + 0*b**6 - 7*b. Find the second derivative of k(y) wrt y.
-80*y**3
Let n(r) be the second derivative of 0*r**2 + 37/12*r**4 - 34*r + 0 + 2*r**3. What is the second derivative of n(j) wrt j?
74
Let l(t) = -8*t**2 + 69*t + 5. Let y(o) = -o**3 + 7*o**2 - 66*o - 4. Let n(q) = 4*l(q) + 5*y(q). Find the second derivative of n(c) wrt c.
-30*c + 6
What is the second derivative of -120*c + 5 - 249*c**4 - 3 - 389*c + 669*c**4 wrt c?
5040*c**2
Let v(m) = 147*m**3 - 5*m - 458. Let q(x) = -294*x**3 + 9*x + 916. Let f(o) = 5*q(o) + 9*v(o). Differentiate f(a) with respect to a.
-441*a**2
Let h(n) be the first derivative of -n**5/8 + 7*n**4/8 + 10*n**3/3 - 13. Let s(m) be the third derivative of h(m). What is the derivative of s(p) wrt p?
-15
Find the first derivative of -15 - 327*f + 21 - 2 + 32 + 18 wrt f.
-327
Let p(j) be the second derivative of 31*j**4/12 - j**3/3 - 23*j**2/2 + j - 2. Differentiate p(f) wrt f.
62*f - 2
Let a(y) be the second derivative of 12*y**6/5 + 4*y**3 + 65*y - 2 | {
"pile_set_name": "DM Mathematics"
} |
2 = 5*f - 122. Let h be 4/f - 6961/(-11). Suppose -2*z + h = z. Is z composite?
False
Let c(d) = d + 14. Let f be c(-11). Is 232/f - 2/6 a prime number?
False
Suppose -4*y = -6*r + 3*r + 60, 5*r = -2*y + 100. Suppose -3 + 15 = 3*x + o, o - r = -5*x. Suppose -z = -v - 32 - 5, -x*v - 74 = -2*z. Is z a prime number?
True
Suppose -399 = -4*z - 3*q + 51, 4*q = -5*z + 563. Is z prime?
False
Let b(h) be the third derivative of h**5/12 + h**4/6 + h**3/2 + 4*h**2. Let c be b(-5). Suppose t - 3*s - 19 = -7*s, -3*t + 5*s = -c. Is t prime?
True
Suppose 0 = 2*u + 4*d - d - 655, -d - 659 = -2*u. Is u composite?
True
Let i be 0 + 4 + (0 - -2). Let u(k) = 13*k + 1. Is u(i) composite?
False
Suppose 8*f + 6*f - 7798 = 0. Is f a prime number?
True
Suppose -3*q + 24 = -q. Let j(b) = -b**3 - 4*b**2 - 3*b + 1. Let x be j(-3). Let m = x + q. Is m a composite number?
False
Let f(k) = -k - 7. Let a be f(-4). Let o = 12 + a. Is o composite?
True
Suppose 3*r + 2*r = 1315. Suppose l + l - z = r, -405 = -3*l - 2*z. Is l prime?
False
Suppose -2*u + 18 = 2*s, -3*u - 16 - 20 = -4*s. Let t(c) = c**2 - 8*c + 1. Is t(s) a composite number?
True
Let q(y) = 83*y**2 - 2*y - 2. Is q(-1) prime?
True
Suppose -4*b - 2 - 2 = 2*j, 5*j - b - 12 = 0. Suppose -j*a + 31 + 163 = 0. Is a a composite number?
False
Let b(i) = -121*i**3 + 4*i - 1. Is b(-2) a prime number?
False
Let s = 956 + -453. Is s a prime number?
True
Let p = -2 - -4. Let i be 0/p*(-1)/(-2). Suppose i = 3*c + 5*z + 14 - 134, c + 2*z = 41. Is c a composite number?
True
Let b(s) = -s**2 + 3*s + 7. Let v be b(6). Let c = v + 15. Suppose 5*q - 5*h = 105, 2*q - 6*q - c*h = -92. Is q a prime number?
False
Let u be (12 + 4/(-2))*1. Let x = 12 + u. Is -1 - (2 + -2 - x) a prime number?
False
Suppose 0 = -4*x + 15 + 1. Suppose -f = x*h - 227, 3*h - 670 = -3*f + 2*h. Is f composite?
False
Suppose 5*u - 522 = 83. Is u a prime number?
False
Suppose 3*n - 20 = -n. Suppose -5*s + n*x + 425 = 0, -4*s = -3*x - 293 - 50. Let l = -33 + s. Is l prime?
False
Let u(j) = -46*j**2 + 6*j + 4. Let c be u(-6). Is (c/(-20))/(4/10) composite?
False
Let b be ((-30)/(-50))/((-2)/(-1310)). Suppose -b = -v - 100. Is v composite?
False
Let c(a) = -6*a**3 - 6*a**2. Let y be ((-25)/10)/((-1)/(-2)). Let g be c(y). Suppose h + w = -3*h + 815, 3*h - 3*w - g = 0. Is h a prime number?
False
Let r(n) = -n**2 - 6*n + 7. Let z be r(-5). Suppose -2*y + 4 - z = 0, -3*d + y + 13 = 0. Suppose -d - 43 = -h. Is h a composite number?
True
Suppose v + 665 = 3*c + 2*c, -3*c - 4*v + 376 = 0. Suppose 5*w + 41 = h, -4*h - 2*w + c = -6*w. Suppose -t + 6 + h = 0. Is t a prime number?
True
Let a(p) = 3*p - 7. Let f be a(-9). Suppose 2*t = 2*s + 2, 0 = s + 5*t - 33 + 4. Is f/s*(0 + -4) composite?
True
Let f be (2 - -1)/(1 + 0). Suppose -765 = -f*g + x - 0*x, 5*x + 1285 = 5*g. Is g a composite number?
True
Let k = -330 - -209. Suppose 2*m + 20 = -68. Let i = m - k. Is i prime?
False
Suppose 0 = -2*i + 78 + 40. Suppose -2*n = -6, -3*n - 139 - i = -3*p. Is p a composite number?
True
Suppose 2*a - 6 = 4*w, -3*a + 0*w + 2*w + 5 = 0. Let g(m) = 40*m - 2. Is g(a) a prime number?
False
Suppose -4*t = -3*t + 2*u, -u = -t. Let i(j) = j**3 + 5*j**2 + 6*j + 1. Let o be i(-3). Is (1 - t)/o*59 a composite number?
False
Let x(p) = -p. Let t(o) = -11*o + 1. Let y(v) = t(v) - 5*x(v). Let u = 99 - 103. Is y(u) a composite number?
True
Let r(a) = -21*a - 10. Is r(-4) a composite number?
True
Suppose 2 = 2*p, -4*p - 12890 = -5*j + p. Is j prime?
True
Let o = -7 - -11. Suppose -o*b = -4 - 4. Is b prime?
True
Let i(o) = 41*o + 1. Suppose 3*j + 2*j = 25. Let s be i(j). Let d = 351 - s. Is d a prime number?
False
Let x be (-4578)/(-30) + (-2)/(-5). Let p = x - 106. Is p a prime number?
True
Let n = -30 + 10. Let w = -12 - n. Let c = w + 15. Is c composite?
False
Let n be 2*(-3 - (1 - 3)). Let q(m) = 15*m**2 + m. Is q(n) a prime number?
False
Let x = 1540 - -1399. Is x a composite number?
False
Let k(d) = d**3 - 10*d**2 + 9*d + 2. Let a be k(9). Suppose a*t + 0*t - 5*z - 50 = 0, t - 25 = z. Is t a composite number?
True
Let i = -16 - -983. Is i a composite number?
False
Let k(l) = 84*l**2 + 2*l + 1. Is k(2) prime?
False
Let b(m) = -65*m - 8. Is b(-6) a composite number?
True
Suppose 6*z = z - 45. Let y(d) = -d**3 - 9*d**2 + d + 11. Let w be y(z). Suppose 108 + 206 = w*o. Is o a prime number?
True
Suppose -2*f + 2321 = -525. Is f a composite number?
False
Let k(v) = -v**2 + 5*v**3 + 4 - 2*v + 2*v**3 + 5*v**2. Is k(3) prime?
True
Let r(o) = -o**2 + 10*o - 11. Let t be r(8). Suppose 496 = t*h + 101. Is h composite?
False
Let k(h) be the third derivative of -19*h**6/120 + h**5/30 + h**4/12 + h**3/6 - 7*h**2. Is k(-2) composite?
False
Suppose 0 = -2*h + 4*u + 2002, 3*h + 4*u - 6*u = 2995. Is h composite?
False
Suppose -n = 3 - 11. Suppose 4*o = -4*i + 4 - n, -2*i - 4*o = 4. Suppose -3*k + 388 + 11 = i. Is k a prime number?
False
Let f be 6/(-21) - 2118/(-14). Suppose -3*a - 2*i + f = 0, -4*a - i + 336 = 128. Is a a prime number?
True
Let n = -415 + 978. Is n a composite number?
False
Let j(f) = -f + 3. Let b be j(5). Suppose i = -0*i + 5. Let x = i + b. Is x composite?
False
Suppose p = -2*p + 141. Let q = 212 + p. Is q a prime number?
False
Suppose 3*a - 156 = -0*a. Is a + 1/(-2 + 3) composite?
False
Suppose -5*l + 20 = -k, 5*k - 4 = -l - 0*l. Suppose 12 = 4*y - l*u, 2*y = 3*y - 5*u - 15. Suppose 0 = -y*q - q + 6. Is q a prime number?
False
Let c = -94 - -164. Let o be 3*(2 + (-41)/3). Let q = o + c. Is q a composite number?
True
Let s be ((-8)/(-2))/(3 - 1). Suppose -1 - 9 = -s*m. Let u = 12 - m. Is u a composite number?
False
Let m = 136 - -90. Is m a prime number?
False
Suppose 2*j = -j + 12. Suppose -2*m + j*z + 11 = m, -2*m + 6 = -2*z. Let b = m - -6. Is b composite?
False
Suppose -2*a + 3*z + 407 = 0, 5*z + 799 = 4*a + 4*z. Is a composite?
False
Suppose 0 = -11*b + 7*b + 32. Suppose 152 = b*f - 4*f. Is f prime?
False
Let b = -15 + 10. Is ((-6)/b)/((-2)/(-15)) prime?
False
Let t(k) be the third derivative of 19*k**4/8 - 5*k**3/3 + 9*k**2. Is t(3) composite?
True
Let s = 444 + -289. Is s a composite number?
True
Let j be 1*0*(1 + 0). Suppose -o - 2*i - 100 = -3*o, j = 2*i - 6. Is o composite?
False
Let n(r) = 30*r**2 + r - 10. Is n(5) composite?
True
Let d = 211 + -26. Is d a prime number?
False
Let w = 701 + 16. Is w a composite number?
True
Let z be 0/2 - (-1 - 2). Let y(m) = -2*m**z + 2*m**3 - 2 - 9*m - 5*m**2 + m**3. Is y(7) composite?
True
Suppose 8 = -2*c, -4*y - 2 = 4*c + 6. Let d = y - 2. Suppose 3*m = d, -3*k + 4*m - 175 = -8*k. Is k a prime number?
False
Suppose 0 = u + 2*q - 1, 0 = 3*u + q - 0 - 13. Suppose -2*h - 20 = -u*d, 3*d - 4*d + 27 = -5*h. Suppose 3*m + d*m - 45 = 0. Is m composite?
True
Let x(v) = v**3 - 6*v**2 + v + 7. Let m be x(5). Let w = 32 + m. Is w composite?
False
Suppose 2*f = 35 + 27. Is f composite?
False
Suppose p + 2*c - 11 = 0, 3*p + 5*c = 4*c + 23. Let o(b) = -b**2 + 7*b + 6. Is o(p) a composite number?
True
Let f = -1785 + 155. Suppose 5*h = -2*s + 73, -4*s - 61 - 18 = -5*h. Is (f/h)/(2/(-3)) a composite number?
False
Let w(n) = 6*n**2 - 3*n - 1. Let d be w(-5). Suppose 45 + d = t. Is t a composite number?
True
Let b = -330 - -827. Suppose -4*w + y + b = 0, 20 = -4*y - 0. Is w composite?
True
Let s = 296 - 432. Let h be (-2)/(-7) + s/(-14). Suppose -b + h = b, 4*b = -q + 133. Is q composite?
False
Let p(s) = -3*s**2 + 4*s - 11. Let i be p(5). Let b = -33 - i. Is b a composite number?
True
Let z = -4 - -6. Suppose p - 915 = -z*p + 4*l, -2*l = -p + 303. Is p a prime number?
False
Let z(f) be the third derivative of 0*f - 1/6*f**3 + 19/10*f**5 + 0 + 0*f**4 - f**2. Is z(1) a prime number?
True
Let d = 5 + -5. Suppose 3*l = l - 4*w + 2, d = -3*l - 5*w + 3. Is -2 + 0 + 15 + l composite?
True
Let a be (0/1)/(1 + 0). Suppose 70 = 2*h - 8. Suppose a = -g - 4, -2*g + h = -p + 2*p. Is p a prime number?
True
Let k be (3/2)/((-6)/(-8)). Suppose -3*y = -2*f + 13, k*f + f + 3*y - 57 = 0. Is f composite?
True
Let j(w) be the first derivative of -2*w**2 - 7*w + 2. Is j(-7) a composite number?
True
Let n = 1 - 1. Suppose 4*h - 56 = -n*h. Is h a prime number?
False
Let t(c) = 13*c + 446 - 446. Let q = 2 - 0. Is t(q) composite?
True
Let a be (-10)/(-25) + (-2)/5. Let l be (a + -10)*(-57 | {
"pile_set_name": "DM Mathematics"
} |
(b) 0.06 (c) -3 (d) -195 (e) 0.28
e
Which is the fourth biggest value? (a) -18 (b) 9 (c) -4 (d) 0 (e) 2/15
c
What is the fourth biggest value in -2, 5, 1/3, 117, 1/2?
1/3
What is the third biggest value in -3, 33, -206, -8?
-8
What is the second smallest value in -442, 0.12, -29, 2?
-29
What is the fourth smallest value in 96, 0.034, -0.1, 4?
96
What is the biggest value in 5.52, -4, 29?
29
Which is the smallest value? (a) 1314 (b) 3/4 (c) -0.3 (d) 2 (e) -2 (f) 3
e
What is the third smallest value in -4/3, -1/6, 91, 0.3, -6, 0?
-1/6
Which is the third smallest value? (a) -2/3 (b) 0.04 (c) 4/59 (d) 0 (e) -1/6
d
What is the smallest value in 1/2, -108/11, -25?
-25
Which is the second smallest value? (a) 2 (b) -0.2 (c) 748 (d) 4/15
d
Which is the second smallest value? (a) -1/2 (b) -0.4 (c) -0.014 (d) 5 (e) 23
b
Which is the third smallest value? (a) 15 (b) -2/5 (c) 0.18 (d) -1/9 (e) -2
d
Which is the second smallest value? (a) -0.5 (b) 9 (c) -0.3 (d) -0.07 (e) -4 (f) -5/31
a
Which is the fourth smallest value? (a) -9/7 (b) 0 (c) 5 (d) 27
d
What is the second smallest value in -1/6, -24/5, 1, 0.2, 2/9, -295?
-24/5
Which is the third smallest value? (a) -0.48 (b) 2/7 (c) -65 (d) 2
b
Which is the biggest value? (a) -24.516 (b) 0 (c) 1/6
c
Which is the smallest value? (a) 3/62839 (b) -0.1 (c) 4/11
b
Which is the fifth biggest value? (a) -382 (b) 0.2 (c) -1 (d) 4/5 (e) 1/8
a
What is the fifth biggest value in 3, -0.3, 1, 0.1, -6, 85?
-0.3
What is the second biggest value in -3, -1/294606, -1/3?
-1/3
Which is the smallest value? (a) -0.3 (b) -1 (c) -2 (d) 1.77
c
What is the fourth biggest value in -8, 1, 2/5, -2.1, -4, 5?
-2.1
What is the second biggest value in 3/8, -70879, -3?
-3
Which is the fifth smallest value? (a) 5 (b) -1/2 (c) 3/19 (d) 0 (e) -891
a
What is the third smallest value in 1/2, -0.242, 2, -2/9, 11?
1/2
Which is the sixth biggest value? (a) 4 (b) 2/3 (c) -1/8 (d) 0.5 (e) -11 (f) -2/13
e
Which is the second biggest value? (a) 1/4 (b) -2.57 (c) -3 (d) -1/5
d
Which is the fourth biggest value? (a) -2 (b) 3 (c) 1 (d) -22 (e) 80
a
Which is the second biggest value? (a) -0.286 (b) -0.1 (c) 11 (d) -4 (e) -0.3 (f) 0
f
What is the third smallest value in -58, -2/5, 0.1, 0.26?
0.1
What is the fourth biggest value in 3112, -4, -4/3, 2, -3/2?
-3/2
What is the third smallest value in -0.15, 4, -93037?
4
Which is the sixth biggest value? (a) 2 (b) -106 (c) -3 (d) 5 (e) 64 (f) -4
b
What is the biggest value in 0.2, -786, 0, 1, 4/7?
1
Which is the second smallest value? (a) -1/9 (b) 27.9 (c) -1 (d) -0.5 (e) 0.034
d
Which is the fifth smallest value? (a) -1 (b) 5 (c) -4 (d) -3 (e) 17 (f) 1864
e
What is the fourth smallest value in -49/5, 917, 3, 0.3, -0.5?
3
Which is the second biggest value? (a) 2103 (b) -0.112 (c) 1
c
What is the fifth biggest value in 3, -1/11, 18, -2/17, 0.2?
-2/17
What is the third biggest value in 0.25, 257, -4, -6, -2/3?
-2/3
What is the fourth biggest value in -0.5, 8, 3, 0, 0.2, -0.04?
0
Which is the second biggest value? (a) -4/5 (b) 0.616495 (c) -0.5 (d) 5 (e) -4 (f) -0.2
b
Which is the second smallest value? (a) 2/11 (b) 0.5 (c) 4 (d) -1341 (e) 3/4
a
What is the second smallest value in -3, 117, 4, 0.2, 5?
0.2
What is the second biggest value in 2/11, 230/39, 0, -3?
2/11
What is the second smallest value in -4, -20925, 2/13?
-4
Which is the biggest value? (a) -0.101 (b) 1/4 (c) -2/7 (d) -27.2
b
Which is the fourth biggest value? (a) 419 (b) -4/3 (c) -0.2 (d) -4
d
Which is the biggest value? (a) -2/5 (b) -4 (c) 11 (d) -3 (e) 15/13 (f) 4
c
What is the smallest value in -5, -4, -80890?
-80890
Which is the third smallest value? (a) -2 (b) 5 (c) -907 (d) -6 (e) 1/2
a
What is the second biggest value in -15, 2, 1/512, 3/5?
3/5
Which is the smallest value? (a) -0.04 (b) -2/7 (c) 20.28
b
What is the smallest value in -2, 1018, -4, -0.6, 2/15?
-4
Which is the fourth biggest value? (a) -1 (b) -2 (c) 69 (d) -3/8 (e) -4/3
e
What is the biggest value in 3/5, 0.5, -2.02, -0.2, 4?
4
What is the third biggest value in 1.040555, -0.5, 2/7?
-0.5
What is the third biggest value in -1/2, 3, -6.333?
-6.333
Which is the smallest value? (a) -1 (b) -2/9 (c) 0.04 (d) -0.2 (e) -3/2
e
Which is the fourth smallest value? (a) -2 (b) -4 (c) -91.2 (d) 0.4
d
Which is the third biggest value? (a) 1/3 (b) -0.3 (c) -50 (d) 0.07 (e) -0.09 (f) 0.5
d
What is the second smallest value in -3.3, 0, -2, 132, 2.1?
-2
What is the fourth biggest value in 2/7, -4, 7824, -0.3?
-4
What is the biggest value in -17, -5, -92/13?
-5
What is the fifth biggest value in -17, -5, 3, 0.07, 3/7?
-17
Which is the second smallest value? (a) 1/4 (b) 0.5 (c) -3/8 (d) -17/38 (e) -3
d
What is the fourth smallest value in 0, 2, 11077, -0.2, 1?
2
What is the second biggest value in 0, 1/8, -2/17, 131/23, -5, 2?
2
Which is the second smallest value? (a) -2/9 (b) -3 (c) 1.39
a
What is the third smallest value in -1/5, -40, 71, 0, -5?
-1/5
What is the third smallest value in 0.5, -292, -10, 1/22?
1/22
What is the smallest value in -3/2, -51.8, -4, -0.1, 6?
-51.8
Which is the second smallest value? (a) -42/17 (b) 0.3 (c) 1 (d) 2/69 (e) -3/5
e
What is the third biggest value in 1, -2/753, -574?
-574
What is the biggest value in 7, 2.3, 6, -25, 2?
7
Which is the second biggest value? (a) -9 (b) 5 (c) -196/9 (d) 0.5
d
Which is the biggest value? (a) 65 (b) -3/7 (c) -27/7
a
What is the smallest value in 89498/7, 1/7, -4?
-4
Which is the fourth biggest value? (a) -1/11 (b) -2/1911 (c) 4 (d) -6
d
What is the fourth biggest value in -5, -6, -3, -1.2, -16.8, 0.4?
-5
What is the second biggest value in 0.26, -0.12, 0.5, 7, 36?
7
What is the biggest value in 0.4, -5, -29, -15/4, 0.1, -0.5?
0.4
What is the sixth biggest value in -99, -2/7, -5/8, 13/3, 2, 3?
-99
Which is the third smallest value? (a) -1/6 (b) -0.1 (c) 4 (d) -230
b
Which is the third smallest value? (a) 1/11 (b) -23.03 (c) -0.4 (d) -0.1 (e) -3
c
What is the second biggest value in 5, 1/82, 5/2, -7/6, 1, 0.1?
5/2
What is the biggest value in 2.625, 1/3, -4, -2, 0?
2.625
What is the second biggest value in 21.4, 1/3, -4/7, -5, 0, 1/2?
1/2
What is the smallest value in 7, -34, -74, 0.2?
-74
What is the third biggest value in 1, 0.04, 39967?
0.04
What is the third smallest value in -3, 2/1261, 71?
71
Which is the third smallest value? (a) 0.3 (b) -2 (c) 3 (d) 57 (e) -3
a
Which is the third biggest value? (a) 12772 (b) 3 (c) -4/17
c
What is the fifth smallest value in -1, 3, 2/7, 130, 18?
130
Which is the second biggest value? (a) -51/4 (b) -84 (c) 1 (d) -0.3
d
What is the fifth smallest value in 236.8, 1.84, 1, -0.3, 3?
236.8
Which is the second smallest value? (a) 4 (b) -2 (c) 5 (d) -1/373 (e) 0.076
d
What is the smallest value in -7, 2/17, 1/14, -662, -5?
-662
What is the third smallest value in 4, 17, -3, -2/5, 4/7?
4/7
What is the second smallest value in 6, -0.3, -5, 14?
-0.3
Which is the fourth biggest value? (a) 251/4 (b) -2/17 (c) 4/3 (d) -0.1
b
What is the second biggest value in 60, 13/4, 26?
26
Which is the fourth biggest value? (a) -8 (b) -4 (c) -2/5 (d) 0 (e) 4/9 (f) 26
c
Which is the second smallest value? (a) 21 (b) -14 (c) 7/78
c
What is the third smallest value in 444, -10/3, -2?
444
What is the biggest value in 3505, -1/4, 0, -16, -1?
3505
Which is the third biggest value? (a) 118 (b) -2/55 (c) 66
b
What is the biggest value in 0.03, 1455, 0.2?
1455
What is the fourth biggest value in -1/3, 13, 2/23, -10?
-10
What is the smallest value in -1/3, -0.6498, 2?
-0.6498
Which is the smallest value? (a) -0.08 (b) 2/5 (c) 4 (d) -3 (e) 9/17
d
What is the third biggest value in 9, -0.1, -28, -15/7, 1?
-0.1
Which is the second biggest value? (a) 37.999 (b) 6/23 (c) 1
c
Which is the biggest value? (a) -1/2 (b) -2/5 (c) -7/8 (d) 7586
d
Which is the fourth biggest value? (a) 0.9 (b) 3 (c) -431 (d) -2/27
c
What is the third smallest value in -0.06535, 2, 2/11?
2
What is the third smallest value in -3, 82/217, 4/5?
4/5
What is the third biggest value in -5, 0.06, 5244?
-5
Which is the biggest | {
"pile_set_name": "DM Mathematics"
} |
Expand 1025 + 5*i**2 + i - 1025 + 0*i + 0*i - i**2 + (-2 + 0 + 4)*(-1 + 1 + 2*i**2) + 2*i + i**2 - 2*i - 3*i + 3*i + i**2.
10*i**2 + i
Expand (-2 + 2*v + 2)*(-2 + 0 + 0)*(v - 2*v + 4*v + (5 - 2 - 2)*(-2*v + 4*v - v) - 8*v + 3*v - 3*v)*(0 - v**2 + 0).
-16*v**4
Expand (14*r**3 - 45*r + 3*r**3 - 16*r**3)*(r - 2*r - 2*r).
-3*r**4 + 135*r**2
Expand (-6 + 3 + 1 + (4 + 4 - 11)*(0 - 3 - 6) - 1 + 5 - 3 + (0 - 1 + 2)*(4 + 0 - 5) + 5 - 1 - 2)*(1 + v**3 - 1).
27*v**3
Expand (3 - 3 + 2*o)*(o**4 + o**4 + 0*o**4) + (-13*o**4 - 4*o**5 + 13*o**4)*(0 + 3 - 4)*(3 + 3 + 11).
72*o**5
Expand -25*x + 11*x + 13*x + (-5 + 17 + 9)*(3 + 5*x - 3).
104*x
Expand (3*d**2 + d**2 + 8*d**2)*(2*d**2 - 4*d**2 + 9*d**2).
84*d**4
Expand (1 + 3 - 5)*(32 + 15*l - 32)*(0*l**3 - l**3 + 5 - 3).
15*l**4 - 30*l
Expand (18 - 18 + 19*k**2)*(-k**2 + 0 + 0) - k**4 + 0*k**4 - k**4 - 7*k**4 - 24*k**2 + 24*k**2.
-28*k**4
Expand 0*y**3 + 5*y**3 - 2*y**3 + (-2*y**2 - 2*y**2 + 2*y**2)*(y + y - 3*y) + 4 - 2*y + 2*y**3 + 0*y + 3*y - 5*y**3 - y**3 + y**3.
2*y**3 + y + 4
Expand 1021 + 2929*y - 2930*y - 305 - 2*y + 2 - 2 + (6 - 4 + 0)*(1 - 1 + 2*y) - 4 + y + 4 + 2*y - 3*y + 0*y.
y + 716
Expand (-71 + 77 + 30)*(-4 + 3*h - 5*h + 5).
-72*h + 36
Expand ((-2*h - h + h)*(-h - 5*h + 4*h) - 1 + 1 + 2*h**2)*(-4*h + 1 + 3 + 2*h)*(0*h + 0*h - 2*h).
24*h**4 - 48*h**3
Expand (3*k - 5*k + 6*k)*(1542 - 1542 + 168*k).
672*k**2
Expand (3*d**2 + d**2 - 2*d**2)*(4*d + 0*d - 2*d + (-d + 1 - 1)*(-1 + 4 - 2)) + (-3*d**2 + 4*d**2 + 4*d**2)*(-5*d - 3 + 3).
-23*d**3
Expand 4*p**5 - 6*p**2 + 6*p**2 + (2*p**3 - 3*p**3 - p**3)*(-31*p**2 + 5*p**2 - p**2).
58*p**5
Expand (-4 + 2 - 1)*(-4*y**3 + 4*y**3 - 2*y**4) - 1352*y**4 + 3 - y - 1 + 1378*y**4.
32*y**4 - y + 2
Expand (8*c**2 + 12*c**4 - 8*c**2)*(-3*c + c + c + (-3*c + 2*c + 2*c)*(3 + 2 - 1) - 2 + 2 + 2*c + (-1 - 2 + 5)*(c - 2 + 2)).
84*c**5
Expand (99519 + 162*y - 99519)*(-3*y - 2*y + 7*y).
324*y**2
Expand (4*b - 4*b + b**2)*(2*b**2 - 2*b**2 + 2*b**2)*(90*b + 2 - 123*b - 175*b).
-416*b**5 + 4*b**4
Expand (z - 2*z + 3*z)*((z - 3*z + z)*(2 + 0 - 3) - 9*z - 10*z + 2*z).
-32*z**2
Expand 2*m**5 + 2*m**4 - 2*m**4 + (-1 + 4 - 1)*(0*m**5 - 2*m**5 + 4*m**5) + 1646*m**3 - 1646*m**3 - 3*m**5.
3*m**5
Expand (177*l + 175*l + 371*l)*(0*l + 0*l + l**2).
723*l**3
Expand (-270*s + 270*s - 30*s**2)*(4 - 1 - 5)*(2 + 2 + 1).
300*s**2
Expand (-104 + 21*l - 22*l + 26)*(0 + 1 + 0).
-l - 78
Expand (-1 + 8 + 1)*(z - 4*z + z)*(9*z + 2*z - 7*z).
-64*z**2
Expand 18*i**4 + 6*i - 28*i**4 - 17*i + (-4*i + 4*i + 2*i)*(-2*i**3 + 0*i + 0*i).
-14*i**4 - 11*i
Expand (-49 - 13 - 22)*(o + 2*o - 4*o).
84*o
Expand (5 - 3 - 1)*(-22*z - 319*z - 218*z).
-559*z
Expand 0*u + 0*u + u + 2*u + 0 + 0 - 6*u - 19*u + 3*u + (-2 + 2 + 1)*(0*u - 4*u + 3*u).
-20*u
Expand (-v - 6*v + v)*(-41*v + 7*v - 28*v) + (2*v**2 + 2 - 2)*(-3 + 1 + 4).
376*v**2
Expand -j - 2*j**5 + j + (850*j + 64*j**2 - 850*j)*(0*j**2 - 2*j**3 + 0*j**2) - 4*j**3 - j**5 + 4*j**3 + (3*j + j - 6*j)*(3*j**4 - 3*j**4 + j**4).
-133*j**5
Expand (-7*j + 15*j**3 + 7*j)*(-j + 0*j - j)*(j + 0*j + j)*(1 - 3 + 0) - 7*j**5 - 3*j**5 + 5*j**5.
115*j**5
Expand (5*p**3 - 3*p**3 + 0*p**3)*(-2 + 3 - 5) - 1359*p + 133*p**3 + 1359*p.
125*p**3
Expand (9 - 12 + 7)*(-4*p**2 - 14*p**2 + 7*p**2) - 2*p**2 - p**2 + 2*p**2.
-45*p**2
Expand 12*g**2 - 2*g**2 - 27*g**2 + (-6*g + 2*g + 3*g)*(2 - 2 - 2*g) - g**2 + 4*g**2 - 2*g**2 + (2*g**2 + g**2 - 2*g**2)*(0 + 0 + 1).
-13*g**2
Expand (-2*k - 29*k**4 - 30*k**4 + 23*k**4)*(k + 2*k - 4*k).
36*k**5 + 2*k**2
Expand (-k + 2*k + 2 - 2*k)*(-2 - 24 - 2 + (-2 + 1 - 1)*(1 - 2 + 2) + 6 + 0 - 4).
28*k - 56
Expand (1 + 3 - 2)*(-14 + 14 - 3*h).
-6*h
Expand -14 + 4*p**3 + 14 - p**3 + p**3 + 2*p**3 + (2*p**2 + 0*p**2 + 6*p**2)*(2*p + 3*p - 3*p).
22*p**3
Expand (-14*g + 0*g - 6*g + (g + 2*g - 4*g)*(2 - 4 + 1) + 4*g - 4*g + 2*g + 2 - 2 + g)*(1 - 1 - 1).
16*g
Expand ((5*x + 4*x - 4*x)*(-3*x + 2 - 2) - x**2 + x**2 + 4*x**2)*((-x**2 + 8*x**2 - 2*x**2)*(-4*x + 5*x - 2*x) + 0*x - 2*x**3 + 0*x).
77*x**5
Expand (0*z**4 - 3384*z**2 + z**4 + 3369*z**2)*(0*z - 3*z + z).
-2*z**5 + 30*z**3
Expand (32 + 23 - 53 - 106*j)*(2*j - 4*j + 0*j).
212*j**2 - 4*j
Expand (24*o**2 - 21*o**2 - 18*o**2)*((4 + 1 - 6)*(4 - 4 - 1)*(-1 + 2 + 4) + 5 - 3 + 0).
-105*o**2
Expand (-g + 3 - 3)*(g + 0 + 0 + (8*g - 4*g + 0*g)*(0 - 4 + 2)).
7*g**2
Expand (z + 0*z - 5*z)*(-2 + 1 + 0)*(43 + 7 - 78 + (1 - 1 + 1)*(-2 + 5 - 2) - 1 + 5 - 3).
-104*z
Expand ((-2 + 3 + 0)*(-2*b**2 - 3*b**2 - 2*b**2) + (2*b**2 - 2*b + 2*b)*(1 + 1 - 4) + b**2 - 2*b**2 + 2*b**2)*(-5 - 5*b**2 + 5).
50*b**4
Expand -2*n**4 + 2*n**4 + n**5 + (3 - 3 - n**2)*(4*n**3 - 6*n**3 + 0*n**3) + 5*n + 3*n**5 - 5*n + (2*n**2 + 2*n - 2*n)*(-n**3 - 3*n**2 + 3*n**2).
4*n**5
Expand (13*b + 13*b - 16*b)*((-2 + 2 + 2)*(-2 - 1 + 2) - 2 - 1 + 6).
10*b
Expand 14*m**5 + 1 - 13*m**5 - 4 + (1 - 7*m - 1)*(2*m**4 - 7*m**4 + 2*m**4) + 0*m**5 - 2*m**5 + 3*m**5.
23*m**5 - 3
Expand -v**2 - 2*v**2 + v**2 + (1 + 5 - 2)*(-2 - 2 + 5)*(v**2 - 2*v**2 - v**2) - 4 + 4 + v**2.
-9*v**2
Expand (-4*j + 2*j**3 + 4*j)*(3*j + 2*j - 4*j - 1 + 2*j + 1 + (2 - 2 + 2)*(0*j - 2*j + 4*j)) + 3*j**4 - 1 + 1 + (2*j**3 + 1 - 1)*(-1 + 1 - j).
15*j**4
Expand (13*x**3 + 6*x**3 - 2*x**3)*(-3*x + 4*x - 2*x) - 4*x**4 + 2*x**4 + 3*x**4 - 2*x**4 + 0*x**3 + 0*x**3.
-18*x**4
Expand (-2 + 0 + 0)*(1 - 1 - l**4) + 82*l**4 + 44*l**4 + 67*l**4 - l**3.
195*l**4 - l**3
Expand (21 + 2*m - 21)*(-4 + 2 + 1)*(1 + 14 + 18).
-66*m
Expand (-1 + 5 - 2)*(-6 + 5 + 7)*(26 + 28*x - 26)*(-x**3 + x**3 - 2*x**3).
-672*x**4
Expand (-56 - 42 + 17)*(-3*r - 2*r + 3*r + (2*r - 2*r + 2*r)*(3 + 0 - 5)).
486*r
Expand (2*q + q - 2*q)*(-1222*q - 223*q**2 + 1222*q).
-223*q**3
Expand (453 + 166 + 200)*(-4*g + 0*g + 2*g).
-1638*g
Expand (16 - 20 - 10*t**3 - 7*t**2 + 4*t**2 - 2*t**4)*(-1 + 6 - 4).
-2*t**4 - 10*t**3 - 3*t**2 - 4
Expand (-3 + 3 + g)*(-24 + 197 + 32)*(5*g - 2*g - g).
410*g**2
Expand (3*g - 5*g + 4*g)*(16 - 197 - 107 - 50).
-676*g
Expand (2*p + 2*p**3 - 2*p + (-p**2 + 1 - 1)*(2*p - 4 + 4) - 2*p**3 + 2*p**3 - 2*p**3)*((-p + p - 2*p)*(2*p + 12*p - 8*p) + p**2 - 5*p**2 - 7*p**2).
46*p**5
Expand (-2 - 3 + 0 - 5)*(-2*i**5 - 89*i**5 - 121*i**5).
2120*i**5
Expand (-g + 3 - 3 + 2*g - 2*g - 2*g + (-2 + 4 + 0)*(2 - 2 - 2*g) + 2*g + 4 - 4 - 3*g + 0 + 0 + 3*g + 2*g - g)*(-4 + 5 - 3)*(2*g + g - 2*g).
8*g**2
Expand ((3 - 2 - 2)*(0 - 6 - 1) + 8 + 7 - 1)*(p**3 + 0*p**3 + p**3)*(2*p - p + p).
84*p**4
Expand ((-n**2 - 1 + 1)*(3 - 1 - 4) - n**2 + 2 - 2 - 11*n**2 - 64 + 64 + 2*n**2 + 2*n**2 - 3*n**2 + 21*n**2 - 14 + 14)*(6 - 2 - 2) + 0*n**2 + 0*n**2 + 2*n**2.
26*n**2
Expand (-2*a - 2*a**2 + 2*a)*(-90*a - a**2 + 90*a)*(53 - 53 + 6*a).
12*a**5
Expand (2*a**4 - 3*a**4 + 2*a**4)*(-17 + 9 - 19) - a**3 + 12*a**4 + a**3 + 3*a**4 + 2*a**3 + 2*a**4 - 3*a**4.
-13*a**4 + 2*a**3
Expand -10*p**4 - 29*p**4 - p**4 + (2*p + 2*p - 2*p)*(31*p**2 - 13*p**3 - 31*p**2).
-66*p**4
Expand (-2 - 4 - 2*g + 5)*(-83*g - 178*g + 69*g) + g**2 + g**2 - 4*g**2.
382*g**2 + 192*g
Expand (11*n + n + 4*n)*(-23*n**4 + 65*n**2 - 65*n**2).
-368*n**5
Expand (5*f**2 + 5*f**2 - 3*f**2 + (-28*f + 242 - 242)*(f - 1 + f + 2))*(2*f - 5 + 5).
-98*f**3 - 56*f**2
Expand -23*v**3 - 14*v**3 + 8*v**3 + (-v**2 - v**2 + v**2)*(v - 6*v + 2*v) + (v**2 + 0*v**2 + 0*v**2)*(-2*v + 1 - 1).
-28*v**3
Expand (5*g**2 - 3*g**2 - 3*g**2)*(2*g + 2*g - 2*g) + 0*g**2 - 2*g**2 + 744956*g**3 - 745088*g**3.
-134*g**3 - 2*g**2
Expand (2*i - i + 4*i)*(-16*i - 1 + 1)*(2 - 1 - 2).
80*i**2
Expand (c + c + 0*c)*(10 + 14 + 1)*(0*c**3 - 2*c**3 + c**3).
-50*c**4
Expand (-4*t + 3*t - t)*(-2*t - t + t) + (3 - 6 + 0)*(3*t**2 - 2*t**2 - 3*t**2 + (-8*t - 6*t - 31*t)*(t - 6*t + 4*t)).
-125*t**2
Expand 320 - 74*j**2 - 2*j + 323 - 640 - 2*j**3 + (-2*j**2 - 3*j + 3*j)*(-j + 1 - 1) + 2*j**3 - 4*j**3 + 3*j**3.
j**3 - 74*j**2 - 2*j + 3
Expand (-x + 0*x + 0*x)*((3 - 4 + 2)*(-5*x**2 - x**3 + 5*x**2) - 2*x**2 + 2*x**2 - 2*x**3 + 0*x**3 - 2*x**3 + 3*x**3 - 2 + 3*x**3 + 2 + 1 - 1 - 2*x**3).
x**4
Expand ((-n + n + 2*n)*(0 + 1 + 0) + n + n - 7*n + 3*n - n - n + 2 - 4 + 0 - n)*(0*n**2 + n**4 + 0*n**2).
-3*n**5 - 2*n**4
Expand (o**3 - 2*o + 2*o)*(17*o**2 - 58*o**2 + 7*o + 24*o**2).
-17*o**5 + 7*o**4
Expand (-21*a**3 - 1 - 1 + 2679*a**2 - 2680*a**2)*((0*a + a - 2*a)*(1 + a - 1) - 13*a**2 + 37*a**2 - 20*a**2).
-63*a**5 - 3*a**4 - 6*a**2
Ex | {
"pile_set_name": "DM Mathematics"
} |
5. Let q = -10 + 4. Let l = q + 8. Which is the nearest to 2? (a) l (b) 4 (c) g
a
Let s(o) = o**3 - 7*o**2 - 11*o + 16. Let k be s(8). Which is the closest to 1? (a) k (b) 0.5 (c) 2
b
Let i = -0.26 - -0.26. What is the closest to -1 in -7, i, 2?
i
Let m be ((39/(-18))/(-13))/(4/(-12)). What is the nearest to m in -3, 1, 0.1?
0.1
Let w = -6 + 5. Let f(x) = x**3 + 6*x**2 - 7*x - 2. Let g be f(-7). What is the nearest to g in 0, w, 2?
w
Let d be (-28)/30*-114 - 3. Let z = -103 + d. Which is the closest to z? (a) 1 (b) 0 (c) -0.3
b
Let p = 20 - 21. What is the nearest to 0 in 0.02, 5, p?
0.02
Let v(k) = k**3 + 6*k**2 + 4*k - 4. Let a be v(-5). Let z be ((-4)/(-2))/(a*3). Let i = 28 + -29. What is the closest to i in -2, z, 2?
-2
Suppose 3*u + 0 = 3. Let a be 1 - 2 - (0 - u). Let k be 4 + 2*1/2. What is the nearest to a in 2/7, k, 0.2?
0.2
Let a = 5.24 + -6.4. Let o = -0.16 - a. Let s = 92 + -1103/12. What is the nearest to o in 2/7, s, -0.4?
2/7
Let p = 2.74 - 2.4. Let g = p - 0.04. What is the closest to -0.1 in -1, g, 2?
g
Let x = 0.3 - -0.7. Let b = 5 - 8. What is the nearest to x in 2/5, 1, b?
1
Let h = 6 + -5. Let p = 0.06 + 0.94. What is the nearest to p in h, 0.3, 1/3?
h
Let x = -127/177 - -3/59. Let k = -11.6 + 7.6. Which is the closest to x? (a) 1 (b) k (c) -3
a
Let r = -20 - -20.3. Let d(u) = u**2 + 7*u - 5. Let z be d(-7). Which is the nearest to 1? (a) z (b) -1 (c) r
c
Let o be -2 - 1/(10/(-22)). Let i = -0.09 - -0.05. Let g = i - 0.96. What is the nearest to g in 3, o, 2/7?
o
Let g be 2/8 + (-8)/(-16). Which is the nearest to 0.1? (a) g (b) 2 (c) 5
a
Let r = -0.1 + 0.1. Let n = -237/4 + 59. Let m = -13 - -14. Which is the closest to r? (a) m (b) n (c) 4
b
Let t be 0 + ((-19)/(-4) - 5). What is the closest to t in -7, -1/5, 5?
-1/5
Let o = -315 - -314.6. Let n = -0.2 + 1.2. What is the nearest to n in o, -4, 4?
o
Let h be (-2)/24 + (-10)/(-30). Which is the closest to -0.2? (a) h (b) -4 (c) 0.3
a
Let l = -2 - -1. What is the closest to l in -0.5, 2, -2/5?
-0.5
Let f be 24/10 + 4/(-10). Suppose f*d + 2*d + 12 = 0. Let k = -0.19 - 4.81. Which is the closest to 1/3? (a) 2 (b) d (c) k
a
Suppose 4*a - 6 = 2. Let k be (((-2)/1)/a)/1. Let r be (-15)/k*1/3. What is the nearest to 0.1 in -5, -2, r?
-2
Let u = -4.5 - 0.5. Let l = -0.3 - -0.4. What is the closest to 2/3 in 3/5, l, u?
3/5
Let u be (4/7)/(40/28). Let k = -0.2 + 0. Let d = k + 0.3. Which is the closest to d? (a) -1/3 (b) u (c) 1/4
c
Let k = 3 + -2. What is the nearest to k in 1/7, 3/4, -5?
3/4
Let f = -5.7 - -5.3. What is the closest to 0.1 in f, 4/7, -2/13?
-2/13
Let o = -67/63 + 9/7. Let q be 3/(-6)*0 + (-8)/20. Which is the closest to q? (a) -0.2 (b) o (c) 5
a
Let d(o) = o**2 + 2*o. Let g(f) = -f**2 + 6*f - 3. Let r be g(6). Let a be d(r). Let s be (-1)/a - (-1 - 0). What is the closest to s in 0.5, 1/4, -4?
0.5
Let n be 38/6 - 2 - 1*4. What is the nearest to 0 in n, 0.4, -1?
n
Let u = -0.1 - -5.1. Let l(c) = -c**2 - 2*c + 1. Let a be l(-3). Let o = -4.82 - 0.18. What is the closest to a in 0, o, u?
0
Let t = -1.88 + -1.07. Let l = 0.05 - t. Which is the nearest to l? (a) -4 (b) -2/13 (c) 0.2
c
Let m be (-21)/14*4/3. Let d be (39/21 + m)*2. What is the closest to 0.1 in -0.1, -1, d?
-0.1
Let o = -3 - -2.9. Let q = 0 - o. Which is the nearest to q? (a) 1 (b) -4 (c) 2
a
Let k = 1/2 - 0. Which is the nearest to -3? (a) 1 (b) -2/7 (c) k
b
Suppose -j + 0*j = -9. Let q be (-2)/j + (-15)/(-27). Let v = -4.4 - -4. Which is the closest to q? (a) 5 (b) 0 (c) v
b
Let x = 0.02 - -0.28. Let v = -0.1 + x. What is the nearest to 1 in -3, -0.1, v?
v
Let z = -41 + 41.5. What is the closest to -4 in 0.2, -5, z?
-5
Let q = 28 - 30. Which is the nearest to -2? (a) q (b) 1 (c) 1/5
a
Let u be 12/(-30) + -1 + 1. Which is the closest to 1/2? (a) u (b) -1/5 (c) -0.1
c
Let x = -0.19 + 1.19. Which is the nearest to x? (a) -0.02 (b) 0.4 (c) -3/5
b
Let r be ((-3)/9)/((-1)/(-3)). Suppose -3*f - 4 = 2. Let s be 48/44*f - -2. Which is the closest to 0? (a) s (b) 2 (c) r
a
Let g = -0.19 + -3.81. Which is the nearest to -1/2? (a) g (b) -2/11 (c) -3
b
Let t = 9056 - 271637/30. Let r = t + -21/10. Let x be (-6)/(-4)*(-8)/6. What is the nearest to r in x, 3/4, -4?
x
Let j(i) be the first derivative of -i**4/4 + i**3/3 + i**2 - 2*i - 3. Let w be j(2). Let z be (-10)/(-12) - (-1)/w. What is the closest to 0 in 2, -2/19, z?
-2/19
Let z = 2/31 + 27/62. Let o = -3 + 5. Let p = 2 - o. What is the nearest to z in p, 2/3, -1?
2/3
Let x = -0.2 - 0. What is the closest to -2 in -1, -2, x?
-2
Let m = -26 + 26.3. Which is the closest to -2? (a) m (b) -3 (c) -4
b
Let t be (-2)/24 + (-3)/12. Which is the nearest to t? (a) 3 (b) 0.4 (c) -2
b
Let u = -68.6 + 69. Let w = 0.4 - 5.4. Which is the closest to -2/7? (a) u (b) 5 (c) w
a
Let s be (1/(-4))/(2/10). Let h = 1.4 - -0.1. Let j = h - 0.5. Which is the nearest to 1? (a) j (b) 5 (c) s
a
Let o = -4.3 - -2.3. What is the nearest to o in -2, 3/5, 1/6?
-2
Let b = -23 + 26. What is the closest to b in -0.3, -0.2, 0.2?
0.2
Let y be 2/12 - (3 + (-78)/(-36)). Let b = -0.08 - 0. Let c = b + 3.08. What is the closest to -0.2 in 2/5, c, y?
2/5
Let z = -3.69 + -1.31. Which is the closest to -3? (a) 1.5 (b) z (c) 5
b
Let d = -0.072 + 0.572. Which is the closest to 15? (a) 0 (b) d (c) 1
c
Let l = -23 - -23.09. Let w = l - 0.09. Let j be ((-2)/10)/((-2)/(-5)). What is the closest to w in -2, 0.2, j?
0.2
Let u be 4*(0 + (-3)/18). Which is the closest to 3/26? (a) -1/2 (b) u (c) -3
a
Suppose 0 = 4*z + 2*o - 2, -13 = -0*z + 4*z - 3*o. Which is the closest to 2/3? (a) z (b) -5 (c) -3
a
Let f be 17/10 - (-1)/(-2). Let y = -309979/45 - -6887. Let h = f + y. Which is the nearest to h? (a) -1/2 (b) 1/9 (c) 3
a
Let f = 1.92 + -0.12. Let i = 10.8 - f. Let w = i - 4. Which is the nearest to -1? (a) 4 (b) w (c) 2/13
c
Let q = -3.6 + 1.6. Let p = 0.02 + 0.48. What is the nearest to q in -0.1, 1/4, p?
-0.1
Let x = -6 + 5.9. What is the closest to -0.3 in -3/2, x, 5?
x
Let z be (-1*(3 + -7)/(-16))/(-1). Let k = -1.1 - -0.1. What is the nearest to k in -3, z, -4?
z
Let x = -146 - -147. What is the nearest to x in -4, 3/7, -1/76?
3/7
Let w be 2/(-7) - (-255)/966. Let d = w + -43/138. What is the closest to 2 in -5, d, -2/9?
-2/9
Suppose 3*y = -p + 1, p + 8 = -p - y. Let q = 14 + -40/3. Which is the nearest to q? (a) p (b) -0.3 (c) -4
b
Let l(h) = -h + 2. Let b be l(1). Let a = -5 + 6.3. Let u = a - 1.4. What is the closest to u in 4/7, 0.1, b?
0.1
Let k = -5987/21 + 285. Which is the nearest to -0.1? (a) k (b) -4 (c) -1/5
a
Let b be 4*1/(-6 + -1). Let f = 1 + -2. What is the closest to 0 in b, f, 2?
b
Let h = 0.02 - 0.42. Let n be 0/(5/((-10)/4))*-1. Which is the closest to n? (a) h (b) -5 (c) 1/5
c
Let j = -1 + 1.5. Let u = 15 - 15.1. What is the nearest to 0.1 in j, u, 1/5?
1/5
Let v = -10 - -7. Let j = -5 + 4.7. What is the closest to 0.2 in v, j, 0?
0
Let s = -0.69 + 0.39. What is the nearest to -0.1 in s, -0.4, -2/7?
-2/7
Let f = -46 - -45.7. Let x(v) = -v**3 - 5*v**2 - 6*v - 3. Let n be x(-4). Suppose 5*i - 7 = 4*d, d + 2 = n*i + 4. What is the nearest to -0.1 in f, d, 1?
f
Let z = 17.11 - 17. Let g = z - -0.29. What is the closest to -0.1 in g, -3/8, 0.5?
-3/8
Let i = 0.6 - 2.6. Let y = 21.1 - 21.3. Which is the closest to -0.2? (a) i (b) 0.2 (c) y
c
Let x = -0.06 + -0.34. Let q = 1.1 + -0.1. Which is the closest to q? (a) -3/8 (b) x (c) -1
a
Let k = -2.9 + 3. Let r = -13/7 + 46/21. Suppose -8*d + 3*d + 15 = -l, -5*l = -3*d - 13. Which is the closest to r? (a) 1 (b) d (c) k
c
Let d = 54 + -57. What is the closest to 2 in d, -12, 2?
2
Let s = -104.5 + 105. Which is the nearest to 2? (a) s (b) 1 (c) -0.2
b
Let s be ((-1)/22)/(-4 + (-60)/(-16)). Which is the closest to -0.1? (a) -2/11 (b) 5 (c) s
a
Let x = -27 - -19. Let z be x/(-4) - (-8)/(-3). Suppose -3 = 2*l + l. What is the nearest to z in -5, 0, l?
l
Let p = -1 + 1.1. Let l = -0.7 + 0.2. Let v = 22 - 25. What is the nearest to p in 0.1, v, l?
0.1
Let f = -0.2 + 0.01. Let a = f - 0.01. What is the closest to 0.1 in a, 3, -5?
a
Let q = 26 - 24. Which is the nearest to q? (a) -7 (b) 3/7 (c) 2/13
b
Let r = -1.01 - 0.29. Let i = -0.3 - r | {
"pile_set_name": "DM Mathematics"
} |
) = -8*j**2. Let n(o) = 4*o**2 - 2*o**2 - 6*o**2 + 3*o**2. Give w(n(y)).
-8*y**4
Let x(k) = 11 - 11 - k**2. Let p(o) = -1 - 2*o + 2 - 1. Determine x(p(t)).
-4*t**2
Let f(u) be the first derivative of 5*u**2/2 - 14. Let a(w) = w. Give f(a(t)).
5*t
Let b(p) = -p**2. Let t(f) = -9*f. Give t(b(o)).
9*o**2
Let x(d) be the third derivative of -d**5/30 - 6*d**2. Let t(g) = -7*g + 2. Let c(a) = 15*a - 5. Let u(k) = 2*c(k) + 5*t(k). What is x(u(m))?
-50*m**2
Let w(h) = 3*h. Let r(z) be the first derivative of -z**6/120 - z**3 + 3. Let b(t) be the third derivative of r(t). Calculate b(w(u)).
-27*u**2
Let o(f) = 419*f. Let b(n) = -2*n. Calculate b(o(u)).
-838*u
Let q(d) = d**2 - 3*d - 3. Let o be q(4). Let s(y) = o - 4 - 2*y**2 + 3. Let u(z) = 2*z**2. Calculate u(s(i)).
8*i**4
Let w(i) = 2*i - 10. Let v(j) be the first derivative of -j**2/2 - 12. Determine v(w(q)).
-2*q + 10
Let s(z) = 12*z. Let y(t) = 34*t**2. What is y(s(a))?
4896*a**2
Let d(a) = -8*a - 13*a + 19*a. Let h(i) = i**2. What is d(h(r))?
-2*r**2
Let u(s) = 154*s**2. Let h(g) = 10*g. Determine u(h(b)).
15400*b**2
Let x(m) = 74*m**2. Let d(z) = 3*z. Determine d(x(i)).
222*i**2
Let l(s) = 24*s. Let r(q) = -34*q**2. Calculate l(r(v)).
-816*v**2
Let k(s) be the third derivative of -s**5/20 - 2*s**2. Let l(f) = 834 - 3*f - 834. Determine l(k(r)).
9*r**2
Let y(g) = -1466*g. Let q(s) = 2*s. Calculate y(q(r)).
-2932*r
Let p(k) = 3*k. Let i(q) = 4*q**2 + 8*q. Determine i(p(o)).
36*o**2 + 24*o
Let h(c) = c. Let w(y) = -88*y - 1. Calculate w(h(b)).
-88*b - 1
Let j(y) = y**2 - y - 1. Let i(f) = 16*f**2 - 6*f - 6. Let t(k) = -i(k) + 6*j(k). Let o(d) = d**2. Calculate t(o(w)).
-10*w**4
Let o be ((-10)/(-15))/(2/9). Let z(p) = -p + p + o*p**2. Let g(k) = k. Calculate z(g(y)).
3*y**2
Let m(k) = 5*k. Let b(o) = -2*o - 3*o + 7*o. What is m(b(d))?
10*d
Let u(f) be the first derivative of f**3/3 - 13. Let j(h) be the second derivative of -h**3/2 + h. Determine j(u(o)).
-3*o**2
Let n(k) = -47*k - 1. Let m(y) = -79*y**2. What is m(n(s))?
-174511*s**2 - 7426*s - 79
Let h(m) = 6*m - 86. Let b(o) = o**2. Calculate b(h(y)).
36*y**2 - 1032*y + 7396
Let b(l) = -142*l**2 - 4*l. Let h(f) = -3*f. Calculate h(b(o)).
426*o**2 + 12*o
Let k(r) = 599*r. Let s(a) = -2*a. What is s(k(z))?
-1198*z
Let r(w) = 7*w**2. Let t(a) = 102*a + 2. What is r(t(f))?
72828*f**2 + 2856*f + 28
Let o(l) = -l**2. Let u(h) = 44*h**2 - 4 + 4 - 18*h**2. Determine o(u(t)).
-676*t**4
Let o(r) be the third derivative of 0*r**4 + 0 - 1/15*r**5 + 0*r**3 + 0*r - 2*r**2. Let p(h) = h. Give o(p(m)).
-4*m**2
Let o(j) = 10*j**2. Let r(y) = -2*y**2 + 15. Give o(r(t)).
40*t**4 - 600*t**2 + 2250
Let h(v) = -122*v**2. Let l(n) = -30*n. Determine l(h(t)).
3660*t**2
Let i(w) = 8*w**2 - 26*w. Let z(a) = -3*a. Calculate i(z(u)).
72*u**2 + 78*u
Let c(z) = -6*z**2. Let a(q) = -5*q + 4. Calculate c(a(m)).
-150*m**2 + 240*m - 96
Let i(a) = 2*a**2. Let l(q) = 11*q**2 + 2*q. Give i(l(j)).
242*j**4 + 88*j**3 + 8*j**2
Let b(g) = -g**2. Suppose u + 5*q = 2*q - 4, -6 = 2*q. Let i(r) be the third derivative of 0*r**3 + 0*r**4 - 1/30*r**u + 0 + 0*r - 4*r**2. Give b(i(c)).
-4*c**4
Let f(g) be the second derivative of 0*g**3 + 1/12*g**4 - g + 0 + 0*g**2. Let q(u) = -u + 5. Let z(p) = p - 3. Let r(h) = 3*q(h) + 5*z(h). Give r(f(y)).
2*y**2
Let l(u) = -3*u - 8. Let p(k) = 2*k + 5. Let h(c) = 5*l(c) + 8*p(c). Let b(w) = -19*w**2. Calculate h(b(a)).
-19*a**2
Let r(v) = -v**2. Let w(n) be the first derivative of -6*n**2 + 2*n + 47. Give r(w(i)).
-144*i**2 + 48*i - 4
Let l(f) = -33 + 68 - 33 + 25*f**2. Let c(x) = 2*x**2. Calculate c(l(j)).
1250*j**4 + 200*j**2 + 8
Let w(h) be the first derivative of 0 + 6*h**2 - 3 - 5*h**2. Let d(v) be the second derivative of v**4/12 - v. Determine w(d(b)).
2*b**2
Let n(u) = -8*u. Let l(d) = 0*d**2 + 2*d**2 + 4*d**2 - 7*d**2. Calculate l(n(j)).
-64*j**2
Let n = -4 - -5. Let y = n + 1. Let j(k) = -2*k - y + 2. Let z(x) = -x. Determine j(z(m)).
2*m
Let g(a) = 7*a. Let s(w) = -6*w. Let k(c) = 5*g(c) + 6*s(c). Let x(t) be the first derivative of 6*t**2 + 2. What is k(x(p))?
-12*p
Let g(r) = -2*r. Let y(v) be the first derivative of -29*v**2/2 + 25. What is g(y(t))?
58*t
Let p(i) = -70985*i**2. Let j(x) = x. Give j(p(q)).
-70985*q**2
Let d(i) = -i - 12. Let r(v) = 5*v. Calculate r(d(h)).
-5*h - 60
Let q = -5 + 11. Let i(j) = -q*j + 6*j + j**2. Let l(d) be the third derivative of d**5/15 - 2*d**2. Give i(l(b)).
16*b**4
Let l(b) = -2*b**2. Let k(f) = 3*f + 103. Determine k(l(t)).
-6*t**2 + 103
Let b be (4/(-6))/(2/9). Let p be (1 + (b - -2))/1. Let y(t) = p*t + 3*t - 2*t. Let s(q) = q**2. Calculate y(s(k)).
k**2
Let u(k) = -2*k + 7*k - k. Let j(d) = 2*d**2. Determine u(j(a)).
8*a**2
Suppose -s + 33 = 3*s - m, 3*s - m - 26 = 0. Let x(r) = 11 + 4*r - s*r - 11. Let y(d) = -2*d**2. Give x(y(g)).
6*g**2
Let j(b) = -50*b**2 - 1 + 60*b**2 + 2 - 1. Let s(w) be the first derivative of w**2/2 - 1. Determine j(s(z)).
10*z**2
Let n(p) be the third derivative of 0*p**3 + 0 - 3*p**2 + 0*p + 0*p**4 + 1/30*p**5. Let d(a) = 0*a**2 + 0*a**2 + a**2. Calculate n(d(s)).
2*s**4
Let h(x) be the second derivative of -7*x**3/6 + x. Let f(u) = 6*u**2. Let s(j) = -5*j**2. Let a(d) = -3*f(d) - 4*s(d). Calculate a(h(p)).
98*p**2
Let j(g) be the second derivative of -g**3/6 - 4*g. Let q(a) = 2*a**2. Calculate j(q(t)).
-2*t**2
Let y(o) be the third derivative of 0 + 0*o + 0*o**3 - 1/24*o**4 - 4*o**2. Let a(z) = -2*z. Give y(a(p)).
2*p
Let m(z) be the first derivative of -8*z**3 - 3. Let r(o) = 2*o**2. Calculate r(m(a)).
1152*a**4
Let a(i) = -15*i**2 + 3*i. Let f(m) = -2*m**2. Calculate f(a(g)).
-450*g**4 + 180*g**3 - 18*g**2
Let s(b) = -3*b**2. Let i(d) = 0*d + 3*d**2 + 0*d + 0*d. Determine s(i(x)).
-27*x**4
Let j(p) = -122*p + 7. Let q(l) = 2*l. What is q(j(a))?
-244*a + 14
Let q(n) = 26*n**2. Let t(j) = 3*j**2. Give q(t(b)).
234*b**4
Let j(w) be the first derivative of w**2 - 55. Let i(c) = -4*c - 8. Give i(j(l)).
-8*l - 8
Let y(p) = p + 133. Let m(c) = -c. Calculate m(y(r)).
-r - 133
Let g = -11 - -13. Let q(v) = 4*v**2 + g*v**2 - 2*v**2 - 2*v**2. Let n(j) be the first derivative of -j**3/3 + 1. Determine n(q(y)).
-4*y**4
Let y(i) = 9 - i - 5 - 4. Let q(a) = 16*a**2. Determine q(y(h)).
16*h**2
Let o(y) = -y. Let m(r) = 13*r - r**3 + 2 - 2*r**2 - 10*r - r**3. Let s be m(-2). Let v(u) = -s*u + 0*u - 3*u. Calculate v(o(f)).
7*f
Let i(n) = 2*n. Let j(q) be the third derivative of -q**6/360 + 3*q**3/2 + 6*q**2. Let k(r) be the first derivative of j(r). Calculate i(k(l)).
-2*l**2
Let q(p) = p**2. Let c(d) = 0 - 3*d**2 + 5*d - 5 + 0. Let f(t) = -4*t**2 + 6*t - 6. Let s(v) = 6*c(v) - 5*f(v). Determine q(s(z)).
4*z**4
Let a = -21 - -23. Let r(f) = -a*f - 3*f + 4*f. Let v(d) = -2*d. Calculate r(v(u)).
2*u
Let b(g) = -10*g**2 - 7. Let w(u) = -3*u**2 - 2. Let s(m) = -2*b(m) + 7*w(m). Let j(t) = 36*t. Let y(i) = -7*i. Let f(l) = 2*j(l) + 11*y(l). Give s(f(r)).
-25*r**2
Let t(m) be the third derivative of m**7/2520 - m**5/20 - 3*m**2. Let k(p) be the third derivative of t(p). Let n(a) = a**2. Determine n(k(y)).
4*y**2
Let u(m) = -m**2. Let a = 9 + -5. Let r(x) = x + 4. Let w(k) = -k - 5. Suppose 0 = y, -q + 4*y + 5 = y. Let n(h) = a*w(h) + q*r(h). Determine u(n(d)).
-d**2
Let w(h) be the third derivative of -h**4/24 + 6*h**2. Let g(r) = -26*r**2. Calculate g(w(y)).
-26*y**2
Let j(s) = -106*s**2 - 2. Let l(f) = 3*f**2. Give j(l(c)).
-954*c**4 - 2
Let l(j) = -8 + 12*j + 8. Let d(m) = -2*m. Give d(l(y)).
-24*y
Let y(u) = 37*u + 1. Let t(z) = 2*z. Determine y(t(c)).
74*c + 1
Let p(h) be the second derivative of 2*h + 1/6*h**3 + 0*h**2 + 0. Let d(i) = i. Determine p(d(b)).
b
Let a(q) = 75*q. Let i(s) = s. What is i(a(m))?
75*m
Let w(j) be the third derivative of 0 - 5/24*j**4 + 0*j + 0*j**3 + 2*j**2. Let a(s) = 2*s**2. Give a(w(n)).
50*n**2
Let f(k) = 39 - 39 - 12*k. Let n(m) = 2*m**2. Give f(n(j)).
-24*j**2
Let d(p) = p. Let x(b) = -5*b**2 - 6*b. What is d(x(f))?
-5*f**2 - 6*f
Let m(p) = -p**2 - 90*p. Let b(f) = -4*f**2 + 3*f. Let x(g) = -5*g**2 + 4*g. Let z(w) = 4*b(w) - 3*x(w). Give z(m(n)).
-n**4 - 180*n**3 - 8100*n**2
Let a(b) = -b**2 + b. Let w(g) = 7*g**2 - 5*g. Suppose 5*p = 2*o - 2, -4 = o - 0*o. Let y(s) = p*w(s) - 10*a(s). Let q(u) = -u. Give y(q(t)).
-4*t**2
Let v(x) = -2*x. Let w(l) = 2* | {
"pile_set_name": "DM Mathematics"
} |
*a. Solve 2 = h*b - x for b.
3
Let q(t) = 3*t**2 + t + 1. Let l be q(-1). Suppose 5*b - l*n - 32 = 0, 0*b - b - 3*n = 8. Suppose -2*v = -0*y - 4*y + 2, 3*y = 3*v. Solve -v = b*m + 7 for m.
-2
Let n(x) = x. Let o be n(2). Let u = -13 + 12. Let z = o - u. Solve -z*l - 2*l = 25 for l.
-5
Let d(r) = 11*r**2 + 4*r. Let u be d(-3). Suppose 4*s = a + u + 74, 0 = -3*s - 3*a + 117. Suppose -2*o - 2*o = -s. Solve j + 4*j = -o for j.
-2
Let l(i) = i**2 + 6*i - 7. Let b be l(-8). Suppose -2*k + 5*o = -30, 2*o - 44 = -4*k + 40. Suppose b*c - 4*c - k = 0. Solve 5*d - 3*d = c for d.
2
Let i = -2 + 2. Let f(q) = q**2 + 4*q - 7. Let u be f(-6). Solve u*j - 2*j + 12 = i for j.
-4
Suppose 5*v - 3*g + 25 - 54 = 0, 3*v = 2*g + 18. Let s be (-14)/4*(-2 - 0). Solve 0 = -v*a + s*a for a.
0
Suppose -3*h + 4*p = -8, 0 = h - 3*p - 4 - 7. Let a = h + 4. Solve a = o + o + 8 for o.
-4
Let u be 32/28*(-7)/(-2). Suppose -5*t + 5 = u*z - 3, -3*z + 6 = 5*t. Solve t = 4*b - 2*b + 2 for b.
-1
Let y be (160/(-140))/(2/(-7)). Solve -y*o = 2 + 2 for o.
-1
Suppose -3*w + w + 6 = 0. Suppose 0 = f + w*f - 8. Let l = 16 - f. Solve l = -4*x - 2 for x.
-4
Let u be (-2)/4 + 75/(-10). Let i be (u/6)/(4/(-6)). Suppose 5 - i = g. Solve 9 - g = 3*l for l.
2
Let v(a) = 2*a**2 - 2*a + 4. Let m(z) = -z**2 + 3*z - 4. Let q(s) = -3*m(s) - 2*v(s). Let t be q(-5). Suppose 0 = 4*x - t - 16. Solve 0 = x*k + 2 - 7 for k.
1
Suppose -27*m + 32*m - 30 = 0. Let f(o) = o. Let r be f(3). Solve m*c = r*c + 6 for c.
2
Suppose 0 = -2*q - 2 - 2. Let d = 1 - q. Let l be 6/(1 + 1 + 0). Solve d = 3*j - l for j.
2
Suppose 5*q - 26 = 4*m - 9, 0 = 5*m + 15. Let l = -5 + q. Let v = l - -8. Solve v*o = 2*o for o.
0
Let s be (-90)/(-20) + 2/4. Let r be 8 - 8 - (-2 - 14). Solve s*x + 9 = -r for x.
-5
Let b(u) be the third derivative of -u**5/60 - u**4/3 - 3*u**3/2 + 2*u**2. Let h be b(-6). Let w(q) = 3*q - 3. Let n be w(h). Solve 22 = -4*i + n for i.
-4
Let u = 24 + -14. Let x = -4 + u. Solve x*v = 2*v - 20 for v.
-5
Let p(l) = -l + 3. Suppose -4*g + 3*x = 15, 5*x + 5 = -4*g - 2. Let a be p(g). Suppose 3*s = a*s - 12. Solve -s*c = 7 + 13 for c.
-5
Let w be 34/10 - (-10)/(-25). Suppose -34 = -w*o - 5*a - 9, o + 4*a = 20. Solve 0 = -o*z - z - 5 for z.
-5
Let f(k) = -k**2 + 9*k + 5. Let o be f(9). Solve 0 = -o*l - 5 - 0 for l.
-1
Suppose -32 = -4*m + 8. Let l(z) = -z**3 + 5*z**2 - 3*z - 4. Let i be l(3). Solve 0 = 5*c + i + m for c.
-3
Suppose -p - 3*p + 12 = 0. Let u = p - -2. Let x be 0 - 0 - 0/(-1). Solve x*m = -u*m for m.
0
Let r be (1/3)/((-5)/15). Let f = r + 3. Solve -f*u = -6*u for u.
0
Let y be 15 + -14 + (-1 - -1). Solve 3*b = 4*b - y for b.
1
Let b(z) = z**3 + 10*z**2 - z - 9. Let v be b(-10). Solve 0 = -2*f + f - v for f.
-1
Let h be (6/(-9))/((-2)/117). Let b = h + -25. Solve 5*o + b = -11 for o.
-5
Let i = 23 - 21. Solve i - 1 = -z for z.
-1
Suppose 4*s + 28 = 3*f, 4*f + 8*s = 5*s + 79. Suppose -3*d + 20 = 5*k, 4*d = 5*k - 3*k - 8. Solve 0*z - 4*z + f = d for z.
4
Let s(f) = -f**3 + 3*f**2 + 2*f + 3. Let w be s(3). Suppose 2*v = -c + 9, -w = v - 5*c + 3. Solve -6*i = -v*i - 9 for i.
3
Let b = -186 - -191. Solve 0 = v + b - 7 for v.
2
Let r be 7 + -9 - (-2 - 0). Let t be (r/(-5 + 3))/2. Solve n + t = -2 for n.
-2
Suppose 3 = 2*u - 1. Suppose -3*p - 27 = -5*s + p, -4*s + 32 = u*p. Let f = s - 6. Solve 0 = a - 6 + f for a.
5
Let b(f) = -f - 1. Let o be b(-3). Suppose 2*s = 5*n - 6, -4*s = s + o*n - 14. Suppose -5*w - 10 = -5*m, 4*w = -s*m - w + 18. Solve -m*r + 2 = -5*r for r.
-2
Suppose 3*z + 3*c = 27 - 9, 5*z - 3*c = 14. Suppose -4*p + 4 = -0. Solve 3*l + z = p for l.
-1
Suppose 0 = -2*z + 4*g - 16, 0 = 2*z - 3*g + 2*g + 1. Suppose -z*c + 0*c = 0. Suppose c = w + 2*j + 2*j, -5*w + 5*j = -25. Solve w*s = s for s.
0
Let t = -16 + 16. Let h(d) = -d**2 - d + 2. Let r be h(0). Solve -r*l + 2 = -t*l for l.
1
Let b = 21 - 21. Solve b*g = 4*g + 4 for g.
-1
Let h be (-5 + 8)/(6/22). Suppose -y + 3*m + 12 = 0, -3*m - h - 4 = -2*y. Solve 2*z - y = 1 for z.
2
Suppose 4*b = -0*b + 8. Suppose -4*j + b*j + 4 = 0. Solve 5*o + 3 = j*o for o.
-1
Suppose -4*w + 4 = 4*c, 4*w + 1 = 2*c + 5*w. Let u = 5 - 8. Let o be 2 - (u + 4 - 2). Solve -3*n - 15 + o = c for n.
-4
Let r be (4/(-6))/(8/(-228)). Let l = 23 - r. Solve l = -2*k - 2*k for k.
-1
Let r(c) = 8*c**3 - 8*c + 47. Let f(z) = 7*z**3 - 7*z + 48. Let q(y) = 7*f(y) - 6*r(y). Let u be q(0). Suppose u = 2*a + a. Solve -3 = -3*l - a for l.
-5
Let d(p) = -p**2 - 11*p - 10. Let n be d(-10). Solve -2*t = -n*t - 2 for t.
1
Let v be (-11)/(-9) + (-4)/18. Let n(f) = -3*f + v + 2 - 1. Let d be n(-3). Solve 2*o - 1 + d = 0 for o.
-5
Let a be -29 + 29 - (2 - 1 - 2). Let f be 26/8 - 1/4. Solve -f*y - 2 - a = 0 for y.
-1
Suppose 5*w - 12 = 3*f - 2, 4*f - 2 = -w. Solve -v + 3 = -f*v for v.
3
Suppose -5*p = -2*p. Suppose -l = -6*l. Suppose j = 5*a + 2*j - 19, l = -a + 2*j + 6. Solve 0*c - a*c + 16 = p for c.
4
Suppose -7*j = -3*j - 24. Suppose 4*a + 3*r - j + 0 = 0, 5*a + 10 = 5*r. Solve a*l + 2*l = -8 for l.
-4
Let i(b) = b**2 - 7. Let d be i(-3). Solve -d*a + 3*a = -5 for a.
-5
Let i be 4/(((-4)/(-2))/1). Suppose -4 + 28 = i*d. Solve -d = -0*r + 3*r for r.
-4
Let n = 25 + -15. Suppose -v = -2*v + n. Suppose 2*k + 4 = 2*r, -4*r + 6 = -2*k - v. Solve -q + r = -4*q for q.
-2
Let c(v) = -2*v**2 + 7*v - 3. Let x be c(-7). Let t be (-1)/(-4) + x/(-40). Solve -t*f - f = -15 for f.
3
Suppose 0 = -o - 3*o + 16. Suppose -4*v + 20 = b, 0 = -o*b - 0*v + 5*v + 17. Solve h - 5*h = b for h.
-2
Let m = -21 + 24. Solve 2*o = 5 + m for o.
4
Let l be (8/3)/((-4)/(-6)) - -2. Solve 0 = l*n - 10*n + 4 for n.
1
Suppose -52*k = -51*k - 1. Solve -3 = v + k for v.
-4
Let s = 10 - 4. Solve 3*i + s = -0*i for i.
-2
Let s be (-3)/(-2)*(-2)/(-3). Let h be s*0*(-1)/2. Suppose 4*k - 16 = -h*k. Solve k*j = 9 + 3 for j.
3
Let i = -120 - -125. Solve -7 - 3 = i*d for d.
-2
Let w be (-1)/((16/(-12))/4). Suppose -w*l + 27 = -5*c, l = 5*l + 5*c - 1. Solve l*f = -2 - 6 for f.
-2
Let m be (2/6)/(1/6*2). Solve -2*u - 5 = m for u.
-3
Let p = 120 + -115. Solve 1 - p = 2*r for r.
-2
Suppose 2*s - 20 = 4*c, 5*s - 2*c - 36 = -10. Suppose 2*q - 11 = -3*j - 3*q, -6 = -5*j + s*q. Solve z = -j*z + 6 for z.
2
Let d = 10 - 7. Suppose -3*m - 63 = -5*t - 5*m, t + d*m - 23 = 0. Suppose -3*h + 3*n + 8 = -7, -h - 2*n = -t. Solve 4*a - 12 = h*a for a.
-4
Let t(n) = -n**3 + 17*n**2 - 16*n + 6. Let x be t(16). Solve q + 5 = x*q for q.
1
Suppose 34 = 3*o + 4*w, 3*o - 2*w + 3*w - 31 = 0. Solve -4*p - p = -o for p.
2
Let n = 17 + -15. Solve -5 = -k + n*k for k.
-5
Let n = -9 - 3. Let l = -6 - -8. Let g be (-8)/3*n/l. Solve 4*m - 4 = g for m.
5
Let o be (-1)/2 - 25/(-10). Solve a + o = 4 for a.
2
Suppose -4*f = -f. Solve 0 = -f*n + 2*n + 8 for n.
-4
Let x(f) = -3*f + 17. Let t be x(5). Solve -t*h = -0*h for h.
0
Let p be -14 - ((-1 - 0) + 1). Let u = p - -14. Solve u = -i - 0*i - 3 for i.
-3
Suppose -u + b + 4 = 4*u, 0 = 3*u - 3*b - 12. Solve 4*o + u = -4 for o.
-1
Let h(l) = l**3 + 16*l**2 - l - 10. Let r be h(-16). Solve -r*a - 10 = -11*a for a.
2
Let g = -3 - -1. Let y = 8 - 9. Let c be (y - -1)/(-1) - g. Solve c*o = 1 + 1 for o.
1
Suppose -1 = f - 3. Let j = 3 + 0. Suppose -2*a + 8 = -2*v + v, -v = j*a - 12. Solve -f*z + v = 2 for z.
-1
Let x be (-10)/12*(-54)/9. Solve x*r - r = -8 for r.
-2
Let p(h) be the second derivative of -h**5/20 + 7*h**4/12 - 7*h**3/6 - 3*h**2/2 - h. Let v be p(6). Let q = -5 - v. Solve 2*d - 6 = q for d.
5
Let w(a) = a**3 - 21*a**2 - 23*a + 25. Let i be w(22). Suppose 2*o + 3*s = 4*s + 27, o - 24 = 4*s. Let d(g) = -g + 5. Let x be d(0). Solve i + o = -x*r for r.
-3
Suppose 4*m = 5*m - 17. Solve -2 = 3*d - m for d.
5
Let b(l) = -5*l**2 + 10. Let o be b(0). Solve -25 = -o*v + 5*v for v.
5
Let i = 0 + 1. Suppose -i + 3 = f. Solve -f*d = 2*d for d.
0
Suppose 3*o - 38 = 61. Let q = 20 - o. Let y = 18 + q. Solve -1 - 4 = -y*w for w.
1
Let w(q) be the third derivative of q**5/15 + q**4/12 - q**3/2 - 4*q**2. Let z be w(2). Let c = 10 + -5. Solve 4*p - z = -c for p.
3
Suppose -7*x + 21 = -0. Solve w = 7 - x for w.
4
Let i be (-36)/(-24)*8/6. Solve -i*u = -4*u for u.
0
Suppose -4 = -a - 13. Let o = a - -11. Solve r - o - 1 = 0 for r.
3
Let c = -25 + 25. Let s = -2 + 5. Solve -m - 2*m + s = c for m.
1
Let g(f) = 9*f**2 + 3*f + 2. Let | {
"pile_set_name": "DM Mathematics"
} |
u, -u + w + 4*w = -q. Solve -2*p + 0*p = u for p.
-4
Let m(h) = -h - 10. Let x be m(-10). Suppose -26 = w - 5*b, x*w = 2*w - b + 7. Let p be ((-5)/15*3)/w. Solve 0 = -g + 2*g - p for g.
1
Suppose 5*v + i = 263, 0*v + 3*v = -2*i + 155. Solve 0 = -11*q - 2 - v for q.
-5
Let g(f) = f**2 - 9*f + 5. Let b be g(7). Let w(v) = v**2 + 7*v + 2. Let m be w(b). Suppose -9*k = -29 + 2. Solve 5 - m = -k*c for c.
5
Let m(t) = 3*t. Let b be m(1). Suppose 2*x - 19 = -k + x, -3*k - 4*x = -59. Suppose -b*a = -2*f - 7, 0 = -4*a + 2*f - 7*f + k. Solve 0 = a*o - 7 - 5 for o.
4
Suppose 26 = 4*s - 3*x, 3*s = 2*x - 12 + 31. Let n = -4 + 4. Solve n = s*z - 0*z for z.
0
Let w = -189 - -192. Solve 0 = w*p - 2*p - 4 for p.
4
Let m(q) = 10*q + 2. Let d be m(2). Let i be (-4)/d - (-4)/22. Suppose -3*h = 3*p - 28 + 4, i = -2*p - 4*h + 20. Solve 0 = -r - p + 11 for r.
5
Let j(k) = k - 3. Let u be j(5). Suppose x - u = n + 1, 3 = -n + 4*x. Let q be 0 + (11 - 9/n). Solve -4*v = q + 2 for v.
-4
Let g be 0 + 0/(-1 - 4) + 2. Solve f + g = -3 for f.
-5
Let t be (-3 + 1 - -11)*18/81. Solve -t*x = 10*x - 24 for x.
2
Let l(h) = -h**2 - 4*h + 3. Let d be l(-4). Suppose -6*c = -d*c. Suppose -7 = -i - c. Solve -5*j - 10 = -i*j for j.
5
Let w = 2 + 6. Solve -3*y = -y + w for y.
-4
Suppose -3*x + 4*s + 1 = 0, 2*s - 1 = 4*x - 3*x. Suppose -x*q + 5*q = 2. Suppose -10*a = -7*a - 33. Solve 5*c - q = -a for c.
-2
Let c be 56/(-14) + ((-14)/(-2) - 0). Suppose c*r = 12 + 15. Solve r = 2*o - 1 for o.
5
Let m = -2351 + 2361. Solve 27 = m*d - d for d.
3
Let g be 2 - ((-11 - -6) + 2). Solve 0 = 2*r - 5 - g for r.
5
Let y(q) = -q**3 + 10*q**2 + 4*q + 125. Let c be y(11). Solve 0 = 50*u - c*u - 8 for u.
4
Suppose -6 = 5*r - 6. Suppose r*n + 2*u = 4*n, -3*u = 0. Solve n = 2*f + 3 - 11 for f.
4
Let s = 9 + -4. Suppose 5*m + 27 = 3*q, 3*q - 1 = -s*m - 4. Let d = 67 - 65. Solve 2*u = d + q for u.
3
Let q(i) be the first derivative of i**3/3 - i**2 - 9*i + 13. Let s be q(4). Let h be (20/(-5))/(-4) + s. Solve h = -0*l - 3*l for l.
0
Suppose -3*d + 3*c + 33 = 0, -5*d + 32 = -d + 2*c. Solve -d = -7*l + 26 for l.
5
Suppose -4*n = -z + 8, 23*z - 19*z - 4 = 2*n. Suppose -k = -3*k. Solve k = -z*s - s for s.
0
Suppose -7*z + 3*z = 9*z. Solve -7*i - 3*i = -z*i for i.
0
Let r(k) = -2*k + 2. Let j be r(0). Let a = 19 + -17. Suppose -a*n = -8*n. Solve j*u + 0*u = n for u.
0
Suppose -6*m = -102 + 24. Solve 8*o - m*o = 25 for o.
-5
Let n(d) = -d**3 - 9*d**2 - 3*d - 17. Let w be n(-9). Solve -3*f - 5 = w for f.
-5
Let h(j) = -j**2 + 23*j - 110. Let m be h(9). Solve m - 18 = -g for g.
2
Suppose -2*v - 3*r = 3, v + 3*r = 5*r + 9. Let z = 39 + -36. Solve v*j - z = 6 for j.
3
Let i = 54 + -66. Let b(j) = j**3 + 12*j**2 + 6. Let d be b(i). Solve -2*o + d = o for o.
2
Let l be (-1106)/4*(320/56 - 6). Solve 82*z - l*z = 0 for z.
0
Let k = -4 - -7. Let n be 2 + (-1)/((-1)/3). Suppose n*g - k*g = 4. Solve z = g*z + 3 for z.
-3
Let i(k) = -k**3 - 5*k**2 - 5*k + 4. Let y be i(-4). Let m = 13 - y. Solve 0*w - 25 = -m*w for w.
5
Let h(p) = p**3 - 2*p**2 + 4*p - 1. Let i be h(3). Let u(w) = 5*w - 30. Let g be u(0). Let v be (6/g)/((-1)/10). Solve 0 = v*x + 2*x - i for x.
5
Let q be -2 + (3 - 1) + 19. Suppose -3*l + q = 4. Suppose 5*n = 46 + 54. Solve -l*g = -0*g - n for g.
4
Let x be 0/(-10)*3/9. Solve -w + 12 - 10 = x for w.
2
Suppose 0 = -11*f - 44 + 297. Solve j + f = 18 for j.
-5
Suppose 4*p + 4 = 8*p. Let l be 3 + (p + -2)/1. Solve x - l*x = 1 for x.
-1
Let r be 6*-1*(5 + (-238)/42). Let i be ((-4)/8)/((-2)/4). Solve -i + r = -l for l.
-3
Suppose 0*g - g - 6 = 0. Let n(s) = -s**3 - 7*s**2 - 7*s + 6. Let p be n(g). Suppose -p = -5*a + a. Solve l + a = 1 for l.
-2
Let b = 2 + 2. Let d = 34 + -29. Let s = d - 3. Solve b = -s*f + 2 for f.
-1
Suppose p - 29 = -v, -2*v + 0*v = -p - 43. Suppose -4*d + 5*h + 16 = -v, 5*d + 4*h = 9. Solve d*l - 4*l = 0 for l.
0
Suppose 32 - 192 = -8*g. Solve 0 = -g*q + 25*q for q.
0
Let y = -3 + 9. Suppose 2 = y*o + 2. Solve o = 4*k - 3*k for k.
0
Suppose 6*j = 48 - 12. Solve 6*n - j = -0 for n.
1
Suppose 0 = -2*r - 6, -4*r = -y - 2*r + 7. Let w be (y/(-2))/(5/60). Let n be (-5)/((-15)/w) + 10. Solve -3*a + n = 2 for a.
2
Suppose 12 = 2*w + 2*w. Suppose 6*z - w*m = 3*z - 66, 0 = 3*z + 2*m + 71. Let n = z - -26. Solve -1 + 4 = -n*s for s.
-1
Suppose 64 + 13 = 11*r. Suppose -2*o = f + 4 - 3, 3*f = -4*o - r. Solve 0*b + 6 = -o*b for b.
-3
Suppose 3*a + 2*t = 10, -5*a - t + 2 + 3 = 0. Solve a = d - 0*d for d.
0
Let n be -1 - (-11)/5 - 5/25. Suppose 0 = 3*a - 3*k, -3*a = -2*k - n - 2. Solve 0*s + 15 = a*s for s.
5
Suppose -g = 2*c + 37, 2*g + 58 = -3*c + 3*g. Let z = c - -22. Solve -2*m = -z*m for m.
0
Suppose 13*p = 8*p + 80. Let h = p - 16. Solve h = 5*i + 7 - 27 for i.
4
Suppose 140 - 124 = 4*j. Solve j*g - 35 = -31 for g.
1
Let t = -19 - -25. Let f(n) = -3*n + 20. Let m be f(t). Solve -5*d + 15 = -m*d for d.
5
Let m = -23 + 31. Let i be (208/(-39))/(2/(-3)). Suppose 0 = 3*c + 2*f + i, c - 5*c + 2*f + 8 = 0. Solve c*t = 2*t - m for t.
4
Suppose -3*u - 2*y + 209 = -y, 5*u - 2*y = 352. Solve -66 = -4*o - u for o.
-1
Suppose -k - 3 = -0*k. Let u(r) = r + 6. Let o be u(k). Suppose -o*l - 8 = -h, h + 0*h - 3 = -2*l. Solve j = h*j for j.
0
Suppose -4 = 2*p, -5*v + 2*p + 64 = -0*p. Let o(k) = -k**3 + 11*k**2 + 13*k - 10. Let d be o(v). Solve d*a + 3 = -1 for a.
-2
Let d(n) = 21*n**3 - n**2 - 2*n + 2. Let c be d(1). Let p = 24 - c. Solve 7 = -p*w - 1 for w.
-2
Suppose 16 = 4*n, 2*n + 8 + 10 = s. Suppose 23 - s = -3*b. Solve -5*h + b = 11 for h.
-2
Let b be (-1 - -3) + -4 + 2. Suppose 4*n + n = 2*u + 115, -n + u + 23 = b. Suppose 2*x - n = -11. Solve r + r = x for r.
3
Let x = -216 + 231. Let p be (0 - 1)/(1/(10/(-2))). Solve -5*v + x = -p for v.
4
Let q(r) = -r**2 + 3*r + 4. Let p be -4*(13/(-4) + 2). Let l be q(p). Let v be ((-10)/l - 3)*-3. Solve v*b = 2*b - 6 for b.
-3
Let k = 277 + -268. Solve k*g = -g for g.
0
Let t(v) = v - 6. Let a(n) = -7*n - 35. Let g be a(-7). Let w be t(g). Solve -1 - w = 3*u for u.
-3
Let o(u) = u + 5. Let k be o(8). Suppose -n = -5*z - 21, 5*z + k = 3*n - 10. Let l be 0/1 + 0/n. Solve l*a + 6 = -3*a for a.
-2
Let h be (4/(-5))/(6/(-15)). Let k(j) = -23*j + 374. Let n be k(16). Solve -n*s = -h*s for s.
0
Let u = -363 + 370. Solve -27 = u*b - 6 for b.
-3
Let w(j) = -j**3 - 6*j**2 - 2*j + 1. Let q(s) = s - 1. Let d(g) = -3*q(g) + w(g). Let m be d(-5). Solve -l + m = 3*l for l.
1
Let x(f) = -3*f - 2. Suppose -4*v + 2*a = -2*a - 16, -2*v - 10 = 4*a. Let p be x(v). Let t = p + 7. Solve 0*l - t*l - 4 = 0 for l.
-2
Suppose -2*w - 14 = -5*m, m = 20*w - 17*w - 5. Solve 0 = -0*d - w*d for d.
0
Let h be -3 - 9 - (-10 - 2). Suppose 4*l - l = 0. Let j = 2 + l. Solve 2*y - 8 + j = h for y.
3
Let c(g) = -g**2 - 4*g + 13. Let a be c(-6). Let d(w) = 5*w - 1. Let b be d(a). Suppose -b*o + 10 = -2. Solve -o*i + 5*i = 0 for i.
0
Let g(j) = 5*j**2 + 20*j + 3. Suppose n - 48 = 13*n. Let v be g(n). Solve -v*f = -2*f + 3 for f.
-3
Suppose -2*a + 52 = 26. Solve -15 - a = -7*x for x.
4
Suppose -3*m - m = -24. Let q = 699 + -699. Solve q = -y + m*y - 15 for y.
3
Let s(r) = -r**2 + 22*r + 53. Let n be s(22). Let u = 54 - n. Solve -7 + u = 3*y for y.
-2
Suppose 5*g - 3 = -3*u + 4, 4*g + 16 = 3*u. Solve -u*m + 5 = -9*m for m.
-1
Let w = -73 + 106. Let z = -29 + w. Solve -z*i = -6*i + 2 for i.
1
Suppose -10*l + 8*l + 190 = 0. Suppose 3*n - l = -5*o, 4*n + 92 = 8*n - 2*o. Solve -n = -10*m + 5*m for m.
5
Suppose 0 = 4*c - 4*o + 3*o - 119, 3*o - 3 = 0. Solve -2*g + c = 4*g for g.
5
Let b(m) = m**3 + 7*m**2 - 16*m + 7. Let h be b(-9). Let f = h + 18. Suppose 4*k = 5*j - 61, -5*k + 0*k = 3*j - f. Solve 4*w - j = 7 for w.
4
Let g be (-8)/8*(1 - 35). Solve -9 = 5*y - g for y.
5
Let p be 242/5 + (-4)/10. Suppose 4*b = -3*l - 129, -l + 0 = -1. Let d = b + p. Solve 7*q = 4*q - d for q.
-5
Suppose 0 = 3*o - 3*k, -5*k + 10*k - 12 = -o. Solve -o*q + 25 = 15 for q.
5
Suppose 58 = -v + 62. Solve -v*m + 7*m = -3 for m.
-1
Suppose -5*m + 66 = -6*q + 3*q, m + 2*q = 21. Suppose 5*b + 3*j = m, 2*b - 12 = -2*j - 2. Let g(i) = -i + 3. Let x be g(0). Solve -x*u - 2 - 7 = b for u.
-3
Let m = -115 + 119. Solve -f + m = 7 for f.
-3
Let v(h) = -47*h - 165. Let z be v(-4). Solve 0 = 3*x - z*x - 60 for x.
-3
Let k(h) = -h + 3. Suppose -y + | {
"pile_set_name": "DM Mathematics"
} |
replacement from uouuuuuuusisouusosuu.
4/1615
Three letters picked without replacement from {i: 5, s: 1, r: 7}. What is prob of picking 3 s?
0
Calculate prob of picking 2 i when two letters picked without replacement from {h: 1, m: 2, i: 4}.
2/7
What is prob of picking 2 d when two letters picked without replacement from dcddc?
3/10
Two letters picked without replacement from hbhqqhm. Give prob of picking 1 m and 1 q.
2/21
Three letters picked without replacement from lllyyylllyyyl. Give prob of picking 2 l and 1 y.
63/143
What is prob of picking 1 k and 1 c when two letters picked without replacement from {p: 3, w: 1, k: 2, c: 1, b: 5}?
1/33
What is prob of picking 2 t and 1 d when three letters picked without replacement from httghsdtdhzdtgd?
24/455
What is prob of picking 3 s when three letters picked without replacement from {h: 13, s: 6}?
20/969
Calculate prob of picking 4 k when four letters picked without replacement from kkkkkk.
1
Two letters picked without replacement from pbblbgpppliopbg. Give prob of picking 2 g.
1/105
Calculate prob of picking 1 c and 2 q when three letters picked without replacement from endceccfqeneqnneee.
1/272
What is prob of picking 1 z and 1 g when two letters picked without replacement from gggggggggggzggzggggg?
18/95
Three letters picked without replacement from ligjl. What is prob of picking 2 l and 1 g?
1/10
Three letters picked without replacement from lslllszllllzszllllzl. What is prob of picking 1 z and 2 s?
1/95
Calculate prob of picking 1 w and 1 f when two letters picked without replacement from {k: 2, g: 2, v: 3, w: 1, f: 6}.
6/91
Calculate prob of picking 1 y, 1 g, and 2 e when four letters picked without replacement from {b: 2, q: 1, e: 2, t: 4, y: 7, g: 1}.
1/340
Two letters picked without replacement from zrhuhuuhrrh. What is prob of picking 2 r?
3/55
Two letters picked without replacement from nznnzdnzznndznn. What is prob of picking 2 d?
1/105
Three letters picked without replacement from {v: 1, p: 1, f: 2, r: 1, i: 1, j: 1}. Give prob of picking 2 f and 1 i.
1/35
What is prob of picking 1 d and 1 j when two letters picked without replacement from {b: 4, d: 1, j: 5}?
1/9
Four letters picked without replacement from {x: 3, b: 1, f: 1, z: 2, s: 4}. What is prob of picking 2 z, 1 b, and 1 x?
1/110
Three letters picked without replacement from tppvqiiv. What is prob of picking 2 i and 1 t?
1/56
Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {s: 1, u: 6, j: 1, v: 1, i: 3, a: 1}.
3/286
Four letters picked without replacement from dgggiggigigiggigg. Give prob of picking 2 i and 2 g.
55/238
Four letters picked without replacement from jqqqqqqjjqjj. Give prob of picking 4 j.
1/99
Two letters picked without replacement from {k: 3, r: 6, l: 6}. What is prob of picking 1 k and 1 r?
6/35
Three letters picked without replacement from swvcccsvwccvcscc. What is prob of picking 1 c and 2 s?
3/70
Two letters picked without replacement from {c: 1, d: 2, a: 1, k: 2}. What is prob of picking 2 a?
0
Two letters picked without replacement from vzvzvvvooozvz. Give prob of picking 2 v.
5/26
What is prob of picking 1 f and 1 u when two letters picked without replacement from {u: 6, y: 4, w: 2, f: 1, k: 4, z: 2}?
2/57
Four letters picked without replacement from kzzzttzok. Give prob of picking 2 t and 2 k.
1/126
Two letters picked without replacement from {i: 3, k: 4}. What is prob of picking 2 i?
1/7
What is prob of picking 2 s when two letters picked without replacement from savaalsvsvfrsa?
6/91
Three letters picked without replacement from {i: 3, u: 2}. What is prob of picking 3 i?
1/10
Three letters picked without replacement from bdddbbbdbbbbbbbbbbbb. Give prob of picking 1 b and 2 d.
8/95
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {m: 3, q: 3, t: 7, u: 1, d: 4}.
4/153
Two letters picked without replacement from bbbbbb. Give prob of picking 2 b.
1
Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {p: 2, e: 4, q: 2, z: 3}.
6/55
Two letters picked without replacement from {t: 6, y: 4, x: 1, b: 6, w: 1}. Give prob of picking 1 y and 1 x.
4/153
Four letters picked without replacement from {i: 1, n: 3, k: 2, s: 6, g: 1}. Give prob of picking 3 n and 1 g.
1/715
Four letters picked without replacement from ittty. Give prob of picking 3 t and 1 i.
1/5
Three letters picked without replacement from {j: 1, b: 1, u: 1, a: 1, h: 1}. Give prob of picking 1 u, 1 a, and 1 h.
1/10
What is prob of picking 1 v and 1 o when two letters picked without replacement from lovvl?
1/5
Calculate prob of picking 1 f, 1 i, and 1 r when three letters picked without replacement from {i: 1, f: 3, r: 4}.
3/14
What is prob of picking 4 r when four letters picked without replacement from rrrrr?
1
Two letters picked without replacement from obpoonaoptboopnpp. What is prob of picking 1 b and 1 a?
1/68
Calculate prob of picking 3 t and 1 m when four letters picked without replacement from ttmttttt.
1/2
Calculate prob of picking 2 d when two letters picked without replacement from bddlbdllbw.
1/15
Two letters picked without replacement from rohpd. Give prob of picking 1 d and 1 o.
1/10
Calculate prob of picking 2 v and 1 w when three letters picked without replacement from {a: 1, w: 1, v: 8, q: 7, o: 2}.
28/969
What is prob of picking 1 z and 3 e when four letters picked without replacement from eerezeezeereeeeez?
33/119
What is prob of picking 2 u and 1 b when three letters picked without replacement from {u: 2, s: 2, b: 1}?
1/10
What is prob of picking 1 e, 2 b, and 1 y when four letters picked without replacement from beybybbbtytyjbemtb?
14/255
Calculate prob of picking 1 k, 1 n, and 1 i when three letters picked without replacement from iiunykh.
2/35
Calculate prob of picking 2 k when two letters picked without replacement from {q: 1, i: 1, w: 2, k: 2, v: 1, s: 1}.
1/28
Two letters picked without replacement from evvuuuebrvueurevu. What is prob of picking 1 e and 1 b?
1/34
What is prob of picking 1 c and 2 o when three letters picked without replacement from {c: 2, d: 2, i: 2, o: 2}?
1/28
Four letters picked without replacement from kqkqpqovkvvjp. What is prob of picking 1 q, 1 k, 1 v, and 1 j?
27/715
What is prob of picking 2 r when two letters picked without replacement from rhrhh?
1/10
Four letters picked without replacement from gwwgwggwggwggggvvggg. Give prob of picking 1 w and 3 g.
286/969
Calculate prob of picking 2 c, 1 d, and 1 k when four letters picked without replacement from xkddcxxddrxccxd.
1/91
Three letters picked without replacement from {x: 5, t: 10, p: 4}. Give prob of picking 1 x and 2 t.
75/323
Calculate prob of picking 1 b and 2 w when three letters picked without replacement from wbwbffyaww.
1/10
Three letters picked without replacement from {l: 2, z: 6}. What is prob of picking 2 l and 1 z?
3/28
Four letters picked without replacement from {h: 1, s: 2, j: 2}. Give prob of picking 1 s, 2 j, and 1 h.
2/5
Calculate prob of picking 4 m when four letters picked without replacement from {c: 16, m: 4}.
1/4845
What is prob of picking 1 z and 1 n when two letters picked without replacement from {a: 16, z: 3, n: 1}?
3/190
Two letters picked without replacement from {r: 1, g: 3, a: 1, u: 3, b: 4, s: 3}. Give prob of picking 1 b and 1 r.
4/105
What is prob of picking 4 b when four letters picked without replacement from xxbxbxxbxbbbxxbbbbx?
35/646
Two letters picked without replacement from {o: 3, f: 4, b: 3, i: 3}. Give prob of picking 1 f and 1 b.
2/13
What is prob of picking 1 f and 2 c when three letters picked without replacement from fccccccccffcfc?
45/91
Four letters picked without replacement from unuunuuunuuu. Give prob of picking 1 u and 3 n.
1/55
Calculate prob of picking 2 n and 1 h when three letters picked without replacement from {h: 7, n: 3}.
7/40
Four letters picked without replacement from ymaayyymay. What is prob of picking 2 y and 2 a?
1/7
What is prob of picking 1 d and 2 i when three letters picked without replacement from {d: 4, i: 2}?
1/5
Three letters picked without replacement from {m: 2, n: 5, l: 2}. What is prob of picking 1 m and 2 n?
5/21
What is prob of picking 1 m and 1 k when two | {
"pile_set_name": "DM Mathematics"
} |
pose -5*p = -41 - 39. Let o be 582/42 + 2/14. Suppose -5*g + o = -4*j, 4*g - 1 = 5*g + 3*j. Solve -3*m - p = -u, -13 + 6 = 3*u + g*m for u.
1
Let l = 129526 + -129513. Suppose -d + 5*w = 4*d - 25, -w + 16 = 2*d. Solve -s - l = -4*c, -12 = 4*c - d*c for s.
3
Suppose d - 2*o = o - 6, -o = -3. Let t be 16/4 + d + 1. Suppose 0 = -4*n + t - 0, -p = -2*n - 1. Solve -5*q = 5*v + 40, -2 = 4*q - 3*v - p for q.
-3
Suppose -40 = -5*t - d, 5 + 5 = -2*d. Let b = -7 + t. Solve b*z + 3*r = 8*r - 23, -5*r = -4*z - 21 for z.
1
Let y be 15/(-9)*663/(-85). Let j be 18/(-234) + 27/y. Solve 5*p = 2*l - 4, -2*p + l - j = -4*p for p.
0
Let j = -1021 - -917. Let a be 47/12 + (j/(-96) - 1). Let t be ((-2)/(-3))/((-4)/(-6)). Solve 0 = -a*d + 3*w + t, 58 = 4*d + 5*w + 17 for d.
4
Suppose -3*l + 12 = 0, -5*i - 4*l + 9*l + 595 = 0. Suppose -135 + i = -3*w. Solve w*c + 16 = -2*u, -5*u - 2 = c + 2 for u.
0
Let v = 8008 + -8004. Suppose -3*k = -8*k + 25. Solve 0 = -5*z + 3*o + 3 + v, 2*z + k*o = -22 for z.
-1
Suppose -3*v = 2*v - 15. Let h be ((-17)/(-68))/((-2)/(-8)). Suppose -3*l + h = -5, l = -s + 7. Solve -2*z = -s*m - 19, -v*m - 2*z - 31 = 2*m for m.
-5
Let q(y) = 233*y + 2333. Let b be q(-10). Solve -b*k - a - 13 = 1, -k - 12 = 4*a for k.
-4
Let q(i) = -3*i**3 - 150*i**2 - 10*i - 455. Let m be q(-50). Solve m = -5*b + 19*r - 24*r, 5*b + 2*r = -27 for b.
-3
Suppose -3*d - 2*x + 78 = 20, 62 = 3*d - 2*x. Solve 4*s + d = -4*i, -3*s + 10 = -5*i - 5*s for i.
0
Let k be (8/2)/(20/15). Suppose 89 + 112 = k*w. Suppose 77 = 2*f + w. Solve f*s + 1 - 4 = -2*m, s = -m for m.
-1
Let q = 21 - 17. Solve 0 = -2*m - 5 + 3, -3*j = -q*m - 16 for j.
4
Let s be 0*(6/8 - 1/4). Suppose s = 2*a + 17 - 27. Solve a*i + 2*m = 24, -3*i - m + 0*m = -14 for i.
4
Let s = -6 + 9. Let c = -74 + 79. Suppose 0 = c*x - 18 - 2. Solve s*o + 3 = 0, -x*o + 0 = -5*t - 1 for t.
-1
Let o(u) = 17*u**2 - 683*u + 129. Let z be o(40). Solve -p + 5*p - 19 = -3*l, -5*l - p = -z for l.
1
Suppose 5*z - 2100 = -5*z. Suppose 55*f - z = 48*f. Solve 4*o = -o + 2*x - 15, o + 5*x = -f for o.
-5
Let b(f) be the second derivative of f**4/12 + 49*f**2/2 + 20*f. Let v be b(0). Let t = 52 - v. Solve 0 = 2*h + 2, 0 = -z - 2*z - 3*h + t for z.
2
Let u be (-3 - -1)/(-6 + (-224)/(-40)). Solve -5*x = 5*f - u, -5*x + 4*x = 5*f - 1 for f.
0
Let w(f) = 3*f**2 - 4*f + 1. Let u be (-66)/(-24) - (-2)/8. Suppose 3*g = u, 2*i - 11 = -3*i + 4*g. Let j be w(i). Solve j = -4*b, -4*b - 28 = 3*l - 0*l for l.
-4
Suppose -g + 3*c = 4*c - 2, 0 = -5*g + 5*c + 50. Solve 2*p = g, 19 = -x - 5*p + 10*p for x.
-4
Let x(s) = 129*s + 1164. Let v be x(-9). Solve -4*w = 4*b, -7*w = -5*b - v*w + 27 for b.
3
Let j = -1 - -6. Suppose -4*h - 8 = -4*w, 5*w - j*h = w + 10. Solve -i - 3 = w, -10 = -2*m - 0*i + 4*i for m.
-1
Let m = -123 + 174. Suppose 0 = -v - m - 24. Let l = 80 + v. Solve -30 = 5*o + l*h, o - 3*o = h + 8 for o.
-2
Suppose 19 = 2*z - 3*a, z + 16 = 4*z - 2*a. Suppose 4*d - 7*c - 24 = -5*c, 3*c + 4 = -z*d. Solve -2*f = d*b - 12, 5*b - 2*b = -5*f + 9 for f.
0
Let h be 1 - 11/9 - (-2970)/2430. Solve d - g + 1 = 0, g + h = -4*d - 3 for d.
-1
Suppose 7*p - 25 = 52. Let s(b) = b - 5. Let m be s(p). Suppose -m*o + 33 = 9. Solve l = 2*h - 10, 0*h - h = o*l + 4 for h.
4
Suppose 35*x - 202 - 328 = 275. Solve -22*g = -x*g - 2*u - 6, 3*g + 4*u + 12 = 0 for g.
0
Let h(t) = -3*t**3 + 29*t**2 - 18*t + 75. Let a be h(9). Solve -5*j - s = 30, -25 = -a*s + 80*s for j.
-5
Suppose 4 = 8*w - 92. Let r be (-3)/(-9) + 284/w. Suppose 6 - r = -9*u. Solve u*n - n = -p, 2*n - 20 = 3*p for n.
4
Let z(d) = 12*d - 139. Let g be z(12). Suppose -6 = -6*f + 3*f. Suppose 24 = 4*y + 5*t, -14 = -2*y - 6*t + 3*t. Solve g*x - 2*x + f = -m, -x = y for m.
1
Let o(z) = -z**2 + 25*z + 49. Suppose -2*l + 0*l = 2*c - 50, 0 = 3*c. Let q be o(l). Suppose 6*x - q - 11 = 0. Solve i + 3*s + 6 = -i, -5*s - x = -i for i.
0
Let m be ((-5)/(-125)*55)/(2/10). Solve 3*d + 4*l + 19 = -2*d, 0 = -2*d - 5*l - m for d.
-3
Let u(q) = -q**3 - 3*q**2 + 14*q + 23. Let t be u(-5). Suppose -2*f - 4 = 4*m, -4*f - m - 2 = -1. Solve f = t*s + b - 3 + 7, -16 = 2*s - 2*b for s.
-3
Let x(j) = j**2 - 7*j + 15. Let a be x(5). Let b(d) = -24*d - 63. Let i be b(-3). Solve 0 = 5*k - a, -2*k + 2 = -3*l - i for l.
-3
Let z be 15*7/175 + 14/10. Solve -3*v + 15 = z*g, -1 = 4*v - 13 for g.
3
Let n be 4*-4*3 + 0. Let x = 52 + n. Solve -12 = 4*i, -l - x*l + 5 = -5*i for l.
-2
Let m be (1 - (-30)/(-8)) + 69/92. Let j be (3/(-2)*m)/1. Solve 2*s = 4*a - 2, -5*s = -j*a + 11 + 1 for s.
-3
Let d = 239 + -237. Let p(w) = w**2 + 2*w - 6. Let g be p(d). Solve -3*s = b + 9, b - 3*b + 14 = -g*s for b.
3
Suppose -103*f + 203 = -209. Solve -3*i - f*j = -17, 6*j - 4 = 2*i + j for i.
3
Let w(x) = x**3 + 8*x**2 + 4*x - 17. Let j be (-1 - (-225)/(-35)) + (-24)/(-56). Let a be w(j). Solve 0 = -3*n - 2*i - 4, 6*n + 12 = a*n + i for n.
-4
Let i(a) = a**3 - 2*a**3 + 0*a + 6*a**2 + 318 - 301 - 2*a. Let f be i(6). Suppose 0 = -3*z + 5*z - 8. Solve 3*v - 5*k = f*v + 4, -5*k - 22 = -z*v for v.
3
Suppose 0 = -10*d + 3 + 17. Suppose -z - 14 = -4. Let q = z + 14. Solve a - u = -q*a - 10, u = -a - d for a.
-2
Suppose -2*k - 13 = -q, -36 - 4 = -4*q + 2*k. Suppose -p + 1 + 4 = 0. Suppose -2*b = p*j - q, -j - 3 = -b + 5. Solve 0*s - s = 4*y - b, 12 = 3*y + 3*s for y.
1
Suppose -4*v + 28 = p, 4*v = -13*p + 14*p + 20. Suppose 1040*g - 1037*g = v. Solve 2*b - w - 3*w = 26, 4*b = -2*w + g for b.
3
Let o = -2038 - -2041. Solve -5*b + 5*j = -15, -b + o*j + 17 - 14 = 0 for b.
3
Let m be 1128/1034 + (-12)/11. Solve u - 4*l - 9 - 7 = m, l = -2*u - 13 for u.
-4
Let h be 0/1 - (-5)/(-15)*0. Suppose 0 = t - 5*y - 9 - 10, h = -4*y - 4. Solve 0*r = -2*u + 4*r + t, 2*u - 2*r = 12 for u.
5
Let l be (-16)/44*(-88)/16. Suppose 92 = 15*f + l. Solve x + 0*u - 9 = 2*u, -5*u = 3*x + f for x.
3
Suppose 97 - 64 = 16*b - 5*b. Solve -l + 3 = -2*v, b*v + 3*l = -25 + 16 for v.
-2
Let c(g) = 9*g**2 - 6*g. Let q be c(-3). Let r = q - 77. Suppose -26*a + 16 = -r*a. Solve w - 10 = 2*p + 5*w, -w - 20 = a*p for p.
-5
Suppose -19 = -x + 2*d, -8*d + 7*d + 13 = x. Suppose x = -29*f + 102. Solve 0 = -m - f, -9 = o + 2*m + 2 for o.
-5
Let c be -4 - ((-22)/(-22) + -20). Solve 17 = p - c*i + 11*i, -3*p - 17 = 5*i for p.
1
Suppose -96*j = -195*j + 2376. Solve 2*f = -8, 0 = 7*o - 3*f - 9 - j for o.
3
Let h be (4 - (8/12 - -3))*741. Let m = h + -242. Solve m*k + 5*v = -0*k, 0 = 4*v - 12 for k.
-3
Suppose 5*v - 29 = -4*k, 3*v - 2*k = -v + 18. Suppose -48 = -v*g + 22. Suppose -g*i = -9*i. Solve 2*m - 2*r - 6 = 0, i = -4*m - m - 5*r - 25 for m.
-1
Suppose -110 = 12*z + 274. Let t = 36 + z. Solve 0 = j + t*y - 17, j + 6 = 4*j + 3*y for j.
-3
Let l(o) = o**2 - 7*o - 10. Let i be l(10). Let d be (-86)/(-18) + 0 + ((-48)/54)/(-4). Solve 3*t + 4*v = 2*t - i, 16 = -d*t + v for t.
-4
Let o be (-1 + 4)/((-6)/(-8)). Let r(j) = -2*j**3 - 37*j**2 + 22*j + 61. Let k = 157 - 176. Let g be r(k). Solve o*i = 3*c + 12, c - 5*i + g = -8*i for c.
-4
Let u(c) = 14 - 14*c**2 + 23*c**2 + c - 10*c**2. Let i be u(4). Suppose 0 = -i*m + 3 + 7. Solve 4*y = 2*t - 22, -2*t = -m*t - 4*y - 17 for t.
1
Let b be (-2)/8 + (-17)/(-68). Suppose b = -10*m + 503 - 183. Let c = -17 + 20. Solve 2*g - c*i - m = -2*g, -4*g = 5*i for g.
5
Let g(i) = 8*i + 368. Let a be g(-46). Solve -6*m + t - 17 = -3*m, 4*m - 2*t + 26 = a for m.
-4
Let s be (-12)/14*84/(-36). Let d be (-368)/(-80) + s + 39/(-15). Suppose -2*y + 6 = -y. Solve 3*g + d*w - 13 = y, 0 = 4*g - 3*w + 8 for g.
1
Let o be 8/(-14) - (-1 + 11922/(-14)). Let r = 867 - o. Solve 2*u - 5*x + 11 = -4, -3*x = -r for u.
5
Let y = 54 + -45. Let a be (-2)/(-3) + (-5 - (-57)/y). Let j be a - (0 + 2 - 2). Solve -5*m - 7 = 4*d, -4*m - j*d + 0 = 8 for m.
-3
Suppose -4*v = 2*q + q + 13, -v + 14 = -5*q. Let i be 3 - (q + (4 - -2)). Let g be (-78)/(-104)*(5 - 1). Solve 3*b - g*k + 6 + 0 = 0, i = 2*b - 5*k - 5 for b.
-5
Let r = -41 + 43. Let k be (r + 0/1)/((-97)/(-97)). Solve 10 = 4*f + h, k*f = -3*f + h + 8 for f.
2
Let w(l) be the second derivative of l**5/20 + l**4 - 7*l**3/3 - 5*l**2 + 54*l. Let o be w(-13). Solve 5*q = y + o*y + 14, -y + 7 = 4*q for y.
-1
Suppose 6*l - 950 = 970. Let z = -313 + l. Solve z = -r + 3*c + 2*c, 5*r - 21 = -3*c for r.
3
Suppose -t + 11 = -l, -2*t - 19 = 4*l - 47. Solve -5*i | {
"pile_set_name": "DM Mathematics"
} |
a, 10 = -2*u. Let d(j) = 5*j + 1. Calculate the least common multiple of b and d(2).
77
Let h = 1/1403 - 65969/39284. Find the common denominator of h and -23/124.
868
Let i(j) = -j**2 + 7*j - 2. Let a be i(3). Suppose 6*f - 19 = -1. Suppose f*r - 212 = a. Calculate the lowest common multiple of r and 20.
740
Calculate the common denominator of 2/33 and (-13)/(-39)*8/(-14).
231
Suppose 3*j + 5*d = 217, -3*j = -45*d + 41*d - 172. Calculate the lowest common multiple of 144 and j.
576
Let w = -12917/8 - -465083/288. Calculate the common denominator of 47/24 and w.
288
Let o = -13/86 - 593/344. What is the common denominator of -1 - 8/20 - 1 and o?
40
Let w(c) = -2*c + 2. Let d be w(0). Find the common denominator of d/(-20)*(-132 + -10) - 3 and (35/(-12) - -2)*-7.
60
Let t = 82225603/806 + -102017. What is the common denominator of t and -93/20?
8060
Let a(z) = 2*z**2 + 16*z + 15. Let t be a(-6). Let r(c) = c + 17. Calculate the smallest common multiple of r(t) and 20.
40
Let h be 6/10 + 48/20. Suppose 0 = 4*k - h*k - 11. Calculate the least common multiple of (-150)/(-18) - (-4)/(-12) and k.
88
Let i = 532 - 512. Calculate the smallest common multiple of i and 382.
3820
Let z = 220 + -154. Calculate the lowest common multiple of z and 102.
1122
Suppose 2*p = 237 - 21. What is the smallest common multiple of (-13 - -1)*(-2)/3 and (4/(-12))/((-2)/p)?
72
Let g be 1*(2 - 33/(-1)). Suppose -5 = 3*d - g. What is the lowest common multiple of 3 and d?
30
Suppose 2*f - 3*c = 16 + 17, 2*f - 2*c - 38 = 0. Suppose -j = -b - 2*j + f, 3*b + 2*j - 70 = 0. Calculate the smallest common multiple of b and 48.
528
Suppose m = r + 290, 2*m + 5*r - 694 = -86. Suppose -3*u + 3*k + 291 = -2*u, 0 = -u + 4*k + m. What is the common denominator of u/(-10)*4/48 and -103/20?
20
Let b = 19/1655 - 1827577/1337240. Let g = b + -2/101. Let p = 2011/42 - 278/7. Find the common denominator of p and g.
24
Let p be (8/20)/(2/(-160)). Let h(j) = -j**2 - 9*j - 28. Let u be h(-12). Let m = u - p. What is the common denominator of m and 71/9?
9
Let x = -134 + 1465/11. Calculate the common denominator of x and (-20)/50 + (-236)/60.
33
Let d = -503281/50 - -10066. Find the common denominator of -13/8 and d.
200
Let y be ((-14)/3)/((-10)/(-15)). What is the least common multiple of 12 and 25 + (y - (-6 - -2))?
132
Let i be 42/(-135)*(-105)/(-5). Let t = -2201/330 - i. Find the common denominator of t and -81/16.
176
Let q = -408 - -420. What is the lowest common multiple of q and 30?
60
Suppose 0 = 3*n + n - 12. Calculate the smallest common multiple of 2*4 - 0/2 and (2/(n*2))/(21/441).
56
Let k = 11133 - 2538329/228. What is the common denominator of k and 45/16?
912
Calculate the common denominator of ((-1)/(-2))/((-22)/(-10)) and 41/12.
132
Let i = -5253/8 - -644. Find the common denominator of i and ((-1)/4)/((-2)/(-4)).
8
Suppose -28 = 2*f - 6*f. Suppose 0 = -4*q - 5*g + 108, g = -f*q + 3*q + 108. Suppose -q = -4*v + 17. What is the smallest common multiple of v and 26?
286
What is the smallest common multiple of 288420/621 + 4/(-9) and 22?
5104
Suppose 0 = 7*z - 2010 + 5517. Calculate the common denominator of -5 - z/72 - 1/3 and 73/46.
184
Suppose -4*t = 4*g, -5*g - 8 = -3*t + 32. What is the smallest common multiple of t and 136?
680
Let l(p) = -p**2 + 5*p + 5. Let j be l(4). Let a = j - -1. What is the smallest common multiple of (8/a)/(4/10) and 13?
26
Suppose 3*r = 16 - 1. Suppose 3*z - 90 = -r*x, -2*x - 3*z + 27 = -0*z. What is the least common multiple of x/2 + 3/(-2) and 7?
63
Let t = -125333/40104 - -1/5013. Calculate the common denominator of t and ((-214)/36)/1 - -1.
72
Find the common denominator of 6/10 - (-2432)/(-1120) and 169/378.
378
Find the common denominator of -31/117 and ((-1)/15)/((-2912)/8260).
936
Let y(a) = a**3 + 2*a**2 - 3*a + 2. Let s be y(-3). Find the common denominator of (46/(-5) + 0)/(896/(-160)) and (1/s)/((-10)/(-107)).
140
Let g be (6/(-2))/((-22)/(-462)). What is the common denominator of (-123)/g - 2/(-6) and -37/19?
133
Suppose 4*a - 119 = 105. What is the least common multiple of 63 and a?
504
Let p be ((-53668)/72 - 0)/((-2)/(-6)). Let m = p + 2241. Calculate the common denominator of -32/5 and m.
30
Let p be (-4)/14 + (-26797)/(-1008). Let b = p + -271/9. Let o = 249 - 1053/4. Calculate the common denominator of o and b.
16
Let z = -305 - -325. Let b = 3/319 + 46863/3190. Let i = -949/70 + b. Calculate the common denominator of i and z.
7
Let r(c) = -4*c - 25. What is the lowest common multiple of 2 - 4*3/12 and r(-8)?
7
Let q = -989 + 1157. Calculate the lowest common multiple of q and 120.
840
Suppose 4*d - 4*q = 92, 3*q + 12 = d - 5. Suppose 0 = -6*a + d - 2. What is the lowest common multiple of 20 and a?
20
Let d = -2 - -6. Calculate the lowest common multiple of d and -1*(-19)/5 + (-2)/(-10).
4
Suppose 0 = -4*p - 5*f - 433, -f - 4 = 3*f. Let b = 117 + p. What is the least common multiple of b and 15?
30
Calculate the common denominator of 13 - (6 + 6) - (-1982)/(-1934) and 18/7.
6769
Calculate the common denominator of -4 + 6 + 132/28*-2 and -81/820.
5740
Suppose 9*z - 13*z + 5*t + 33 = 0, 0 = 5*z - t - 57. What is the smallest common multiple of 44 and z?
132
Let f = 13/103 - 5203/1236. What is the common denominator of f and -43/100?
300
Let m(g) = -4*g + 3. Let l be m(-3). Calculate the common denominator of 7/(-35) - (-133)/l and 35.
3
Let h = -1130 + 6703/6. Let u be (-1)/(27/6) - (-146789)/48555. Let v = u - 1/1079. What is the common denominator of v and h?
30
What is the common denominator of -41/121 and ((-21)/(-10))/((-462)/245)?
484
Let s(u) = u**2 - 3*u + 22. Let d be s(9). Find the common denominator of -15/16 and 3 - (2 - 58/d).
304
What is the common denominator of -113/140 and (-22)/2288*-26 - 9/(-5)?
140
Suppose -2*n = 4*p - 24, -8*n + 13*n + p - 33 = 0. Let z(c) = -2*c**3 - 5*c**2 - 5*c - 6. What is the smallest common multiple of z(-4) and n?
186
Calculate the lowest common multiple of (-347)/(-7) + 10/(560/24) and 50.
50
Let c = 5619/7964 + 49/362. Let x = -2/15697 + 1616803/94182. What is the common denominator of c and x?
132
Let y = 200291/27065 - 2/5413. Let f = -2381 + 16459/7. Let s = -218/7 - f. What is the common denominator of s and y?
35
Suppose 4*n = -3*d + 58, 3*d = 12*n - 11*n + 53. What is the least common multiple of d and 26?
234
Suppose 76 = 2*y - 0*h + 2*h, 4*y - 5*h - 107 = 0. Suppose -4*r + y = -47. Calculate the lowest common multiple of 2 and r.
20
Suppose 2*c + 54 = 4*p, 0*p = 5*p + 2*c - 45. Suppose 114 = 32*x + 82. Calculate the least common multiple of p and x.
11
Let n(f) = -f**3 - 8*f**2 + 9*f + 12. Calculate the lowest common multiple of n(-9) and 4.
12
Let o(m) = -m**3 + 25*m + 6. Calculate the smallest common multiple of o(5) and 69.
138
Let w(n) = n**3 - n**2 + 2. Let f be w(2). Suppose -v = f*v - 7. What is the common denominator of (2 - v)/(34/100) and 57/10?
170
Find the common denominator of (-130)/(-392) + 12/16 + -1 and -47/7.
49
Let l(u) be the third derivative of u**4/8 - 19*u**3/6 - 7*u**2. What is the least common multiple of l(10) and 4?
44
Let c = 480 + -1059/2. What is the common denominator of 53/29 and c?
58
Suppose 3*t + 5*w + 3 = 0, -3*t + 2*t = -w - 7. Let o be (t/(-10))/((-2)/(-1201)). Let m = o - -9843/40. What is the common denominator of m and -26/9?
72
Let p be (-36870)/170 - 2/17. What is the common denominator of (-341)/p*(-14)/12 and -29/18?
18
Find the common denominator of 13 - -1*10644/(-756) and -9/10.
630
Let s = -970 + 997. Calculate the lowest common multiple of 393 and s.
3537
What is the least common multiple of 1/(-2)*(120 - 304) and 253?
1012
Let z be (1/(-4))/((4/2)/(-16)). Calculate the smallest common multiple of 3/(-12)*-30*z and 18.
90
Let l be -88 - (-2)/6*-6. Find the common denominator of l/100*(-11)/1 and (-19)/3*(-3)/(-2).
10
Suppose 0 = 4*b + 7*b - 1947. What is the common denominator of -6/11 and ((-2)/(-4))/(1 + b/(-246))?
253
Let r(d) = -39*d**3 + 2*d**2 - d + 3. Let c be r(2). What is the common denominator of 99/4 and 34/(-7) - -5 - c/(-112)?
16
Let r = -231701/78392 - -780/239. Calculate the common denominator of r and 73/10.
1640
Let i = 12 - 17. Let z = i - -11. Find the common denominator of (3 + (-20)/z)*-5 and 20.
3
L | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -4*g**6 + 104*g**4 - 759*g**2.
-480*g**3 + 2496*g
Differentiate 39*p**2*r + 2*p*r**2 - 3*p*r + 272*r**2 with respect to p.
78*p*r + 2*r**2 - 3*r
Find the third derivative of 403*a**3 - 3*a**2 + 281*a.
2418
Find the third derivative of 14*f**6 - 2*f**4 + 2825*f**2 wrt f.
1680*f**3 - 48*f
What is the derivative of -166*k*r**2*v - 2*k*r**2 - 136*k - 2*r**2*v - v wrt r?
-332*k*r*v - 4*k*r - 4*r*v
Differentiate -2005*y**4 - 3312 wrt y.
-8020*y**3
What is the derivative of 471*t - 930?
471
Find the second derivative of -105*a*f*r**2 - a*f*r - a*r**2 + 9*a*r + a + 2*r**4 + 8*r wrt r.
-210*a*f - 2*a + 24*r**2
What is the third derivative of -66*b**3*v**3 - 6*b**3*v*y**2 + 2*b**3*v - 2*b**3 + 19*b**2*v**3*y**2 + 3*b - 9*v**2*y**2 wrt v?
-396*b**3 + 114*b**2*y**2
Find the second derivative of -1517*d**2 + 1354*d.
-3034
Find the second derivative of 22*l**2*r*z - 12*l**2*z - 2*l*r*z + 2*l*z + 147 wrt l.
44*r*z - 24*z
Find the third derivative of -202*s**4 + 4*s**3 - 9*s**2 - 6*s wrt s.
-4848*s + 24
What is the first derivative of -754*v + 924?
-754
What is the first derivative of 1417*d + 1000?
1417
What is the third derivative of -6141*z**4 - 11*z**2 + 9*z + 17 wrt z?
-147384*z
What is the second derivative of d**3*x**2 - 4*d**2*x**2 + 481*d**2 - d + 254*x**2 + x wrt d?
6*d*x**2 - 8*x**2 + 962
What is the derivative of 23*n*q - 10*n + 88*q + 39 wrt q?
23*n + 88
What is the derivative of -k*t**2*w**2 - 4845*k*t - 21*k - t**2*w + 7*w**2 + 13*w wrt t?
-2*k*t*w**2 - 4845*k - 2*t*w
Differentiate t**2*u*w + 2*t**2*w + 4*t**2 + 157*t*u*w - 26*w - 6 wrt u.
t**2*w + 157*t*w
Find the second derivative of 6*d**2*h*p - 40*d**2*p - 2*d*h*p + 5*d*p - d - 3*h*p wrt d.
12*h*p - 80*p
Find the third derivative of 6052*c**2*t**3 - 10666*c**2*t + c*t**2 wrt t.
36312*c**2
Differentiate -13*f**2*o - 13*f**2 - 10*f*o - 35 with respect to o.
-13*f**2 - 10*f
What is the third derivative of -782*d**3 - 2*d**2 + 194?
-4692
What is the derivative of 14*c*f*h - c*f - 12*c*h + 223*c + 4*f**2*h + 8*f**2 + 1 wrt f?
14*c*h - c + 8*f*h + 16*f
What is the derivative of 26*m*n**3*z + 2*m*r + 2*n**3*r - 5*n**3 - n*z + 58*r*z wrt r?
2*m + 2*n**3 + 58*z
What is the second derivative of -4*n**4 - 2*n**3 - 10*n**2 - 237*n?
-48*n**2 - 12*n - 20
What is the derivative of -17854*x**4 - 5081 wrt x?
-71416*x**3
What is the third derivative of 4*q**5 - 26*q**4 - 244*q**2?
240*q**2 - 624*q
What is the third derivative of 8034*q**3 - 8349*q**2 wrt q?
48204
Find the first derivative of 3*g**2*n + 2*g**2*o + 43*g*o**2 + 174*n*o**2 wrt n.
3*g**2 + 174*o**2
Find the second derivative of -29*d**2*q*x**2 - 12*d**2*q + d**2*x**2 - d*q*x - 4*d*x + d + 3*x**2 wrt d.
-58*q*x**2 - 24*q + 2*x**2
Differentiate -9*m*n**3 - 9*m*n - 2*m*z - 168*n**3*z with respect to m.
-9*n**3 - 9*n - 2*z
What is the third derivative of -14*q**2*s**4 - 424*q**2*s - 8*q*s**4 - 2*q*s**2 wrt s?
-336*q**2*s - 192*q*s
Find the second derivative of -55*q**2 - 189*q + 1 wrt q.
-110
Find the second derivative of -7*j**2 + 120*j - 1 wrt j.
-14
Find the third derivative of -12*k**2*t**3 + 750*k**2*t**2 + 2*k*t**3 wrt t.
-72*k**2 + 12*k
Find the first derivative of 1584*z + 12380 wrt z.
1584
Find the second derivative of 2*p**4 - 5*p**3 + 138*p.
24*p**2 - 30*p
What is the third derivative of -28*a**3*d**3 - 2*a**3*d**2 - 4*a**3*d*y**2 + 4*a**3*y**3 + 93*a**2*d**3*y**3 - 4*d**2*y wrt y?
24*a**3 + 558*a**2*d**3
Find the first derivative of -57*j - 62.
-57
Find the second derivative of 2206*h**5 + 3*h + 28.
44120*h**3
What is the third derivative of 22*j**4*w*y**3 - 3*j**3*w*y - j**3*y**2 - j**2*w*y**2 + 2*j*w*y + 2*j*y**3 wrt j?
528*j*w*y**3 - 18*w*y - 6*y**2
Find the first derivative of -100*r + 85 wrt r.
-100
Find the third derivative of -13*i**3*m**3*v - 2*i**3*m - 13*i**3*v + 16*i**2*m**3 - 2*i**2 - 2*i*m*v - 25*m*v wrt i.
-78*m**3*v - 12*m - 78*v
What is the second derivative of d**4*i + 38*d**3*i**2 - 3*d**3 - 9*d*i**2 + 10 wrt d?
12*d**2*i + 228*d*i**2 - 18*d
What is the second derivative of -o*q**3 + 3*o - 12*q**2 + 20*q - 1 wrt q?
-6*o*q - 24
What is the third derivative of a**2*r**2*t + 2*a**2*r*t**2 + 3*a**2*t**3 + 2*r**2*t**3 + 3*r**2 - 9*t**3 wrt t?
18*a**2 + 12*r**2 - 54
What is the derivative of -3*c**2 - 7*c + 34 wrt c?
-6*c - 7
What is the derivative of -b**2*s - 284*b**2 - 5*b*s + 11*s**2 wrt s?
-b**2 - 5*b + 22*s
Find the second derivative of l*q**3*v**2 + 2*l*q*v**3 - 97*l*q*v + 13*l*v**3 + l + q**3*v wrt v.
2*l*q**3 + 12*l*q*v + 78*l*v
What is the third derivative of -209*i**6 + i**5*y + i**2*y - 3*i*y - 41 wrt i?
-25080*i**3 + 60*i**2*y
What is the third derivative of -34*l**3*u**4 - 2*l**3*u**2 + 133*l**3*u + 6*l*u**6 wrt u?
-816*l**3*u + 720*l*u**3
What is the third derivative of -2*g*o**4*y - 3*g*o**2 + 20*g*y**2 + 2217*o**3*y**2 + 7*o**2*y**2 wrt o?
-48*g*o*y + 13302*y**2
Find the second derivative of 8*i**5 - 140*i**4 - i**2 - 471*i.
160*i**3 - 1680*i**2 - 2
Find the first derivative of -929*v*w + 2*w + 6 wrt v.
-929*w
Differentiate 200*h**3 - 3*h**2 + 3*h + 9272 wrt h.
600*h**2 - 6*h + 3
Find the second derivative of 613*q**2 - 2241*q.
1226
What is the derivative of g**3*s**4 - g**3*s + g**3 - 487*g + 44*s wrt s?
4*g**3*s**3 - g**3 + 44
Find the second derivative of 293*m**5 + 7*m + 15.
5860*m**3
Find the second derivative of -197*d**2*y**5 - 4*d**2*y - d**2 - 2*d*y**5 + 12*d*y wrt y.
-3940*d**2*y**3 - 40*d*y**3
What is the third derivative of -6343*p**3 - 4749*p**2?
-38058
What is the third derivative of 3*l*u**3 + 2*l*u**2 - 10*l - u**6 + 207*u**4 + u**2 wrt u?
18*l - 120*u**3 + 4968*u
Differentiate -28*d**4 - 5*d**3*n**3 + 6*n**3 + 18*n**2 wrt d.
-112*d**3 - 15*d**2*n**3
Find the second derivative of -2*n**4 + n**3 + 5*n**2*r + 2*n*r + 2*n - 17*r wrt n.
-24*n**2 + 6*n + 10*r
What is the second derivative of 4*k**4 + 2*k**3*s**2 - 16*k**3 + 2*k + 96*s**2 wrt k?
48*k**2 + 12*k*s**2 - 96*k
Find the third derivative of -12157*k**5*n**2 + k**3*n**2 - 996*k**2 + 8*n**2 wrt k.
-729420*k**2*n**2 + 6*n**2
What is the second derivative of 327*i*l**3 + 62*i*l*n - 4*i*l + l**3*n wrt l?
1962*i*l + 6*l*n
Find the first derivative of 1657*h - 1216 wrt h.
1657
What is the third derivative of -3245*h**3*s - 2*h**2*s + h*s - 3263*s wrt h?
-19470*s
What is the second derivative of j**2*n - 2173*j**2 - 5*j*n + j - 200*n wrt j?
2*n - 4346
Find the third derivative of -2*o**4*y - 12*o**3*y + 5*o**2*y + 2*o**2 + y wrt o.
-48*o*y - 72*y
Differentiate 2*r**4 + 35 with respect to r.
8*r**3
Find the first derivative of 1814*p + 2020.
1814
Find the second derivative of -402*a**4 - 6*a**2 - 3967*a.
-4824*a**2 - 12
Find the second derivative of -13370*h**2 - 29572*h.
-26740
Find the second derivative of 642*o**4 + 362*o wrt o.
7704*o**2
Find the third derivative of 9*b**3*g*s - b**3*l**2*s + 26*b**3*l*s - 2*b**2*g*l**2 + 3*b**2*l*s - g*l**2*s + 15*l**2*s wrt b.
54*g*s - 6*l**2*s + 156*l*s
Find the third derivative of -3*b**3*u**4 + 3*b**3*u + 61*b*u**2 - 181*u**6 wrt u.
-72*b**3*u - 21720*u**3
What is the third derivative of -629*b**3 + 175*b**2 wrt b?
-3774
What is the second derivative of 18*p**3*y**5 - 10*p**3*y**2 - 6*p**3*y - p**2*y + 40*y wrt y?
360*p**3*y**3 - 20*p**3
Find the third derivative of -2*d**2*p**4 + 4498*d**2*p**2 + 2*d*p**2 + 6220*p**5 - 2 wrt p.
-48*d**2*p + 373200*p**2
Find the third derivative of -o**6 + 64*o**3 + 3*o**2 - 49*o wrt o.
-120*o**3 + 384
Find the first derivative of -p*r**2*w**3 + 7*p*r**2*w - p*r*w + 118*r**2*w**2 - r*w**3 wrt p.
-r**2*w**3 + 7*r**2*w - r*w
Find the second derivative of -9*c*s**2*y + 30*c*s*y**2 - c*s - 2*s**2*y**2 - s**2*y - 3*s*y wrt y.
60*c*s - 4*s**2
What is the second derivative of -260*g**5 + g + 36?
-5200*g**3
Find the third derivative of -29*n**2*r**4 - 2*n**2*r**3 - 34*n**2*r - 3*n*r**2 - 5*r**4 + 3*r**2 wrt r.
-696*n**2*r - 12*n**2 - 120*r
Find the third derivative of h*x**4 + 2*h*x**3 + 1015*h*x**2 + 125*x**4 wrt x.
24*h*x + 12*h + 3000*x
Differentiate 590*r**2 + 1638.
1180*r
What is the third derivative of -15*n**6*u**3 - 9*n**3*u**3 - 112*n**2*u**3 - 2*n**2 wrt n?
-1800*n**3*u**3 - 54*u**3
What is the first derivative of -2*x**2 + 208*x + 334?
-4*x + 208
Find the first derivative of -56*j**2*m*p**2 - j**2*p**2 + 1358*j**2 - 6*m*p**2 - 3*m*p wrt m.
-56*j* | {
"pile_set_name": "DM Mathematics"
} |
e k and p unequal?
True
Let m = -30 - -31. Is 491 bigger than m?
True
Suppose 0 = -4*k - k + j + 35, 3*j = 5*k - 25. Suppose x + 2*p - k = 0, -3*x - 2 = -2*p - 18. Which is smaller: 5 or x?
5
Let s be -12*((-261)/27 + 10). Which is smaller: 2 or s?
s
Let n = 56 + -49. Suppose -2*d + n*y - 4*y + 65 = 0, 4*d - 95 = -y. Is d < 3?
False
Suppose 5*v - 2*s = 213, -s + 7 = 11. Do 30 and v have different values?
True
Let h = 25/17 - 309/187. Let g = -16 - -9. Let w = g + 6.7. Is w at most h?
True
Let m(p) = -p + 1. Let t be m(1). Suppose -25*y + 10*y - 930 = t. Do 0.2 and y have different values?
True
Let n(o) = 6*o + 204. Let x be n(-36). Do -10 and x have the same value?
False
Let f(a) be the first derivative of a**3/3 - 4*a**2 + 12*a - 6. Let u be f(6). Let h be 6/(-15)*5/1. Which is greater: h or u?
u
Let f = 68.9424 - -0.0576. Which is bigger: f or -2?
f
Let u(k) = -k. Let g(s) = -5*s + 7. Let f(i) = g(i) - 6*u(i). Suppose -2*m - 27 = -0*x + 3*x, -x = m + 12. Let y be f(m). Is y at most -2?
True
Let c be (-6)/(-75) + (-1151)/(-300). Which is smaller: 3 or c?
3
Suppose -4*x - 52 = 4*s, -5*s - 25 = -0*s. Let b(n) be the third derivative of -n**5/60 - n**4/8 - 5*n**3/6 + 3*n**2. Let y be b(-4). Is x greater than y?
True
Let w = 15503/35 - -253/140. Which is bigger: w or 445?
445
Suppose -27*v = -23*v - 28. Suppose -v = 3*a - 16. Let n = 83/3 - 26. Which is smaller: n or a?
n
Suppose -13*f - 366 = 258. Let b be (f/(-40))/((-3)/15). Which is bigger: b or -28/5?
-28/5
Let b be (5/50)/(63/(-615)). Let h = 10/21 + b. Which is smaller: h or 22?
h
Suppose 2*w = 3*w - 3. Suppose w*k = 6*k. Suppose -h - r = 2, -2*h + 5*r + 10 = -k*r. Is h bigger than 0?
False
Let l be (-8)/28 - (-83)/21. Let k be (-156)/(-2 - 11) + -9. Which is greater: k or l?
l
Suppose -10*p + 1505 = 235. Is p bigger than 128?
False
Let n = -9 + -83. Is -87 at least as big as n?
True
Let w = 1.4 + -2.4. Let l = -1 - w. Is -2/5 at least l?
False
Suppose 23*m - 10 = 21*m. Suppose m*o + 0*o = -40. Is o smaller than 2/5?
True
Let j be 16*1/(-4)*2. Let z = 1951 - 1959. Are j and z nonequal?
False
Let d(f) = -44*f + 31. Let g be d(0). Which is smaller: g or 28?
28
Suppose -f = -5*j + 40, 4*j + 4 = j - 5*f. Let y(d) = -1 + 5 - 6*d - 2*d + d**2 + 6. Let m be y(j). Which is smaller: m or 1?
1
Let x be (-10)/(-3) + (-6)/(-9). Let j = 14 - 12. Is j != x?
True
Suppose -2*p + 2 = 0, 39 = -4*w - 3*p - 98. Is w bigger than -32?
False
Suppose -x - 2*x = 4*w + 1, 0 = -4*x - w + 3. Which is smaller: x or 3?
x
Let p = 118 - 157. Which is smaller: -34 or p?
p
Let x(z) = 5*z + 19. Let b be x(-28). Let t = -117 - b. Is t > 4?
False
Suppose -2*l - 158 = -5*k, 5*l - 70 = -8*k + 5*k. Which is bigger: k or 31?
31
Suppose x + m = 61, -x - 5*m + 61 = -0*x. Suppose 0 = x*s - 66*s - 215. Is s not equal to -45?
True
Suppose 0*z - 2*z - 20 = 0. Which is greater: z or -68/7?
-68/7
Let s = 60.095 - 0.095. Let p = -60.2 + s. Is p greater than or equal to 5/7?
False
Let x be (-300948)/(-9)*(-1)/6. Let t = x - -5567. Let h = t + 53/9. Does -2/5 = h?
False
Let q = 27/13 - 607/286. Is q less than -4?
False
Suppose o + 3 - 4 = 0. Suppose 0 = 3*f + 3*i + 87, -5*f + 5*i = 4*i + 127. Let q be (-21)/(-455) - 4/f. Is o greater than or equal to q?
True
Let m be (-3)/10*(-15024)/9. Let z = 499 - m. Which is greater: -3 or z?
z
Let y(w) = 2*w**2 - 6*w. Let v be y(3). Suppose 0*r + 5*r = v. Is 2/5 <= r?
False
Let r = -77 - -77. Let x = -74294 + 1039377/14. Let c = x - -105/2. Is c bigger than r?
False
Let q(c) = c**3 - 5*c**2 + 7*c - 4. Let r be q(3). Is r less than -1/113?
True
Let t = -415 + 415. Let y be (1/78)/((-4)/(-8)). Which is greater: t or y?
y
Suppose -5*h = -4*a - 2434, -6*h - 4*a + 1486 = -3*h. Is 492 < h?
False
Let r = -0.1 - -0.2. Let w = 0.07 + -3.23. Let f = -0.16 - w. Which is bigger: r or f?
f
Suppose 0*f = -f + 5. Suppose -f*v + 139 = -281. Let y be (-4)/3*14/v. Which is smaller: 0 or y?
y
Let c = 195 - 202. Which is bigger: c or -57/8?
c
Let y = 0.4 + 75.6. Let g = 76.19 - y. Which is smaller: -2/3 or g?
-2/3
Let f = -15 + 13. Let w be f - ((-20)/2)/2. Suppose -4*g = -7*g + w. Which is greater: g or -1/8?
g
Let l be -1*((-1394)/(-2) + (-23 - -24)). Is -699 smaller than l?
True
Let a = 2 + -6. Let n = a - 0. Let f = 3/953 - 20028/4765. Is n bigger than f?
True
Suppose -7 = -l - 18. Let q be 1*l*(-4 + 1). Is q at least 33?
True
Let p be 0 + 4 + -1 + -1. Let x(b) = -b**3 - 4*b**2 + 2*b - 12. Let f be x(-5). Which is bigger: f or p?
f
Suppose 289 = 8*o - 159. Suppose -2*b + 3*r = -25, -4*b + 5*r + o = r. Let a(i) = 5*i**2 + 2*i + 1. Let m be a(-2). Is b < m?
False
Suppose 3*t = 2*t + 3. Suppose -5*l - 3*q + 0*q = 20, -4*q = t*l + 12. Let j be (-1)/(l/(-8)) - -15. Is j > 14?
False
Suppose 0 = -t + 4*t. Let a be (t + -2)/((-8)/(-4)). Let o = 947/385 + -28/11. Which is smaller: a or o?
a
Let y = 247/6 + -11285/282. Which is smaller: y or 1?
1
Let k(w) = -4*w + 4. Let l be k(6). Let z be (-45)/l - (-1)/(-4). Let r be 0 + -1 + -2 + z. Which is smaller: -2/35 or r?
r
Let h be (45/5)/((-2)/(-2)). Suppose 72 = -5*x + h*x. Let l be (1 - 3) + x/27. Which is bigger: l or -1?
-1
Let n(u) = u**2 - 6*u - 7. Let j be n(7). Suppose 2*d - 3*z + 0*z + 27 = j, 4*z - 38 = 3*d. Which is smaller: -3 or d?
d
Suppose 3 + 13 = -4*f. Let o = f - -4. Suppose -5*r - 5 + 0 = o. Which is bigger: 0 or r?
0
Let t = -6629/75763 + 41/317. Which is greater: -1 or t?
t
Let q = 1.416 + 1.684. Do q and 1.4 have the same value?
False
Let o = 94.449 - 94.5. Is o less than or equal to -1.2?
False
Suppose 68*o + 78*o = 0. Which is bigger: o or 2/4483?
2/4483
Let t = -28/107 - -1622/3745. Which is greater: 0 or t?
t
Let s be 2 - 13/((-442)/19080). Let r = s - 563. Let m = -2 - -3. Which is greater: m or r?
m
Let u = 5 - -3. Let c = u - 8. Which is bigger: -1/4 or c?
c
Let a = -63 + 130. Is a at most 1/3?
False
Let m = -61.0077 - -0.0077. Is m at most as big as -2/5?
True
Let u(s) = -s**3 - 5*s**2 + 11*s - 11. Let r be u(-7). Is r at least as big as 4?
True
Suppose -2*s = -4*r + 3*r - 221, -r = -4*s + 441. Which is greater: s or 103?
s
Let k(s) = -s**3 + 8*s**2 + 12*s - 13. Let u be k(9). Let d be (5 - -12) + 6 + -9. Is d less than or equal to u?
True
Let p = 2.4 - -9.6. Let l = -7 + p. Let q = 1.38 + -1.28. Is q less than or equal to l?
True
Let k be (-5)/(-2)*4/(-3). Let p(u) = 2*u**2 + 12*u - 147. Let b be p(-12). Is k > b?
False
Let c = 13 + -5. Let i = -5.08 + 0.08. Are c and i equal?
False
Let t be (15/6 - 1)*6/(-51). Are t and -11.1 equal?
False
Suppose -4*x - 37 = -5*z, 3*x - x - 13 = -z. Which is bigger: 17/2 or z?
z
Suppose 3*z = z - 2*q + 72, 0 = 4*z - 3*q - 165. Let w = 28 - z. Is w not equal to 1?
True
Let x(b) = b**2 - 9*b + 2. Let z be x(9). Let a be (-1 - (z + -2))*1. Let m be 210/(-550) - (-2)/11. Which is greater: m or a?
m
Let y = 29 + -20. Let f(a) = -2*a**2 - a + 6. Let h be f(0). Let s be -3 - (-20)/h - 0. Which is bigger: s or y?
y
Let a be 0/(3*(-2)/3). Suppose -10 = -10*m - a. Is m at least 1/16?
True
Suppose -98 = -14*o - 35*o. Let q(r) = r**2 - 7*r + 7. Let z be q(6). Which is bigger: z or o?
o
Suppose 5*a = -2*r + 48, 21 = 2*a - 4*r + 3*r. Let j = a - 3. Suppose 5 = 3*t - 2*z, -3*z = 5*t - 6*z - j. Which is smaller: t or -1/4?
t
Let i be 6 + (-174)/(-32)*-2. Is i at most as big as -6?
False
Let b = -22 + 24. Suppose -b*a = -5*a - m + 29, -3*m = -a + 13. Suppose -2*x = h - 4 - 2, 3*x + 2*h - a = 0. Which is smaller: 3 or x?
x
Let o(u) = u - 3. Let r be o(3). Suppose 0 = -80*z + 90*z - 210. Let d be r + -7 - (18 - z). Are d and -6 unequal?
True
Let m be 4/(-3)*(-1 + -2). Suppose w + m*w = 0. Let z = -9 - -6. Is z >= w?
False
Suppose 4*o + 11 = 5*a, 0*o + 8 = -2*o + 2*a. Let q be o/(-1)*(-1 - -3). Suppose -k + 2*g = -0*k - q, 4*k - 32 = -2*g. Is 9 greater than or equal to k?
False
Let p(u) = -19 + 21 - u - 18. Let n be p(-17). Is n equal to 5/7?
False
Let n be 5 - (-2 + 0 + 4). Let h be (3/n)/(-1) + 4. Let y = 0.4 + 0. Does y = h?
False
Suppose -3*o + 3 + 2 = 2*x, 3*o + 4*x - 1 = 0. Suppose -139 + 115 = -4*j. Let v(t) = -t**3 + 5*t**2 + 8*t - 7. Let f be v(j). Which is bigger: o or f?
f
Let i be 12/((-26)/(-10) + -3). Let q be (-2 + (-12)/(-8))*i. Suppose 2*o - 3*b = -q, 3*o - 2*o - 4*b = -20. Which is greater: 1/9 or o?
1/9
Let v = - | {
"pile_set_name": "DM Mathematics"
} |
887969.4488. Let w = r + -700.56. Let h = w + 23. What is h rounded to three dps?
-0.009
Let r = -0.15586611 + 0.165422. Let n = -22.99071411 - r. Let j = -23 - n. What is j rounded to 4 dps?
0.0003
Let i(j) = -36*j**2 + j - 18. Let q be i(-8). What is q rounded to the nearest one thousand?
-2000
Let m = -1.62 - -0.32. Let x = 1.299982 + m. What is x rounded to 5 decimal places?
-0.00002
Suppose 0 = 2*u - 1 - 5. Let p be ((-7)/(-14))/((-1)/(-10)). Suppose -3*x - 280 = p*r, 2*r + 262 = -u*x + 6*r. What is x rounded to the nearest 100?
-100
Let i = 0 + 0. Let t(b) = -9375*b**3 + b**2 + 2*b - 8. Let k be t(-4). Suppose i = -o - 3*o - k. What is o rounded to the nearest 100000?
-200000
Let n = 278664.38775724 - 278669.983. Let u = 0.4047573 - n. Let g = -6 + u. What is g rounded to 7 decimal places?
0.0000001
Suppose 1290694 = -13*k + 4891694. Round k to the nearest 10000.
280000
Let n = -22.6 + 27. Let r = 83.4 - n. Let b = -79.000033 + r. What is b rounded to five dps?
-0.00003
Let c = -5.2 - -5.71. Round c to one dp.
0.5
Suppose -2*o = -515881 - 256597. Suppose 0 = 5*b - 4*q + 3999980, -b = -4*q + 413741 + o. What is b rounded to the nearest 100000?
-800000
Let h(d) = 2813*d**3 - 2*d**2. Suppose -m = 4*m - 35. Let z = -3 + m. Let u be h(z). What is u rounded to the nearest 100000?
200000
Let s = -5970 + 3495. Let x = 6 - 12. Let i be (s/(-4))/(x/64000). Round i to the nearest one million.
-7000000
Let y be (-2)/(21/(-15) + 1). Suppose y*n = 1479911 - 515586. Suppose -4*r - 431135 - n = 0. What is r rounded to the nearest ten thousand?
-160000
Let k = 1 - 1. Let y(u) = 2*u**2 + 3*u. Let p be y(-2). Suppose k = s + v + 1702, -2*s = p*v + 3*v + 3410. Round s to the nearest 1000.
-2000
Let g = 24957 + -24957.29942. Let i = -0.3 - g. Round i to 4 decimal places.
-0.0006
Let i = 0 + -0.07. Let d = -2.6 - -1.87. Let p = d + i. What is p rounded to 1 decimal place?
-0.8
Let t = -87.000108 - -87. What is t rounded to five dps?
-0.00011
Let g = -199665 + 465178. Let w be (424002/(-5))/(4/(-100)). Suppose -o + l - 264492 - g = 0, -w = 4*o - 2*l. Round o to the nearest one hundred thousand.
-500000
Let l(j) = j**2 - j - 3. Let x be l(3). Suppose -x*y + f = y + 290, -f + 2 = 0. Let c be y/5*3000/(-9). Round c to the nearest one thousand.
5000
Let t = -2.34 + 2.340293. Round t to 5 decimal places.
0.00029
Suppose 9 = 4*a - 15. Let t be (-2884)/a - 2/(-3). Round t to the nearest 100.
-500
Let z(b) = b**2 - b + b**3 - 2 + 4 + 7. Let h be z(0). Let r be 1000/((h/(-150))/3). Round r to the nearest 100000.
-100000
Let z = -571 - -571.00000527. What is z rounded to 6 decimal places?
0.000005
Let m = 0.8 - 3.8. Let y = 3.30061 + -0.30059. Let r = m + y. Round r to 5 decimal places.
0.00002
Suppose -2*u = 3*u + 5*h - 10, -5*u + 4*h - 35 = 0. Let b(m) = 60001*m**3 + 2*m**2 - 3*m. Let t be b(u). Round t to the nearest 100000.
-1600000
Let f = -35 + 69. Let c = f + -33.973. What is c rounded to two decimal places?
0.03
Let o = -111.6 - -17.6. Let d = -94.71 - o. What is d rounded to 1 decimal place?
-0.7
Let m = -0.0383 - 0.1827. Let i = -0.0934 - 0.1167. Let n = m - i. What is n rounded to 3 decimal places?
-0.011
Suppose -12 - 6 = 3*t. Let p(y) = 2*y**2 + 5*y - 1. Let h be p(t). What is h rounded to the nearest 10?
40
Let d = -354.4 + 314. What is d rounded to zero decimal places?
-40
Let i = 124.574903 + -121.0748. Let m = i + -3.5. What is m rounded to five dps?
0.0001
Let j = 3.6 - -1.1. Let h = j - 4.7000155. What is h rounded to six decimal places?
-0.000016
Let b = -1.31566 - 193625.68434. Let i = b + 193643.0018. Let r = i - 16. Round r to three dps.
0.002
Let i = 216.131 - 216. Let d = 308.473937 + -308.343. Let r = d - i. Round r to five dps.
-0.00006
Let h = -4835.369978 + 4835.77. Let k = h - 0.4. What is k rounded to 5 decimal places?
0.00002
Let c = 0.039298 + 23787.960702. Let v = c + -23800.993. Let r = v + 13. What is r rounded to two decimal places?
0.01
Let u = 77 + -77.31. What is u rounded to 1 dp?
-0.3
Let n = -2.1288 + -114.9932. Let k = n + 117. Round k to 2 decimal places.
-0.12
Let d = -40.34 - -40. Let w = d - -0.489. Let o = 0.096 - w. What is o rounded to two dps?
-0.05
Let k = -3 + 2.991. Round k to 3 decimal places.
-0.009
Suppose s + h - 5 = 4, 2*s - h - 9 = 0. Suppose 3*t + s = 2*t. Let p be t/27 + 224998/(-9). Round p to the nearest ten thousand.
-30000
Let b be 6*1 - (-2 - -3). Suppose -b*d = -3*d - 6. Let w(s) = 4*s - 4. Let z be w(d). Round z to the nearest 10.
10
Let f = 78230.8227959 - 78301.8228. Let n = f - -71. What is n rounded to 6 decimal places?
-0.000004
Let s be (3 - 4)/(1/(-120)). Suppose 3*t - t = -s. What is t rounded to the nearest 100?
-100
Let g = 13720.92 - 1142558.92. Let m = g + 1128838.5000026. Let b = 0.5 - m. What is b rounded to 6 dps?
-0.000003
Let n = -0.02 + -19.98. Let g = n - -20.00039. What is g rounded to four decimal places?
0.0004
Let l = -401.35 - -375. Let u = -0.35 - l. Let s = u + -26.0000027. What is s rounded to six dps?
-0.000003
Let p = 211 - 210.99495. What is p rounded to four dps?
0.0051
Let z = 0 - 0. Let a = -0.2 + z. Let o = 0.191 + a. Round o to 2 dps.
-0.01
Let z = 29.013 - 29. Let j = 0.0203 - z. What is j rounded to three dps?
0.007
Let f be (6/(-5))/((-1)/(596 + 4)). Round f to the nearest 100.
700
Let b = -33.0000031 + 33. What is b rounded to six decimal places?
-0.000003
Let o = 9 + -6. Let p = 3.39 - o. What is p rounded to one decimal place?
0.4
Let p(q) = 4502*q + 6. Let v be p(-3). Round v to the nearest 1000.
-14000
Let w be -179996 + 2*(2 + -4). Round w to the nearest one hundred thousand.
-200000
Let l = 117.288 + -0.288. Let z = -116.99894 + l. Round z to four decimal places.
0.0011
Let s = -132.71 - 0.29. Let t = -132.99834 - s. What is t rounded to four decimal places?
0.0017
Let i(j) = -2*j**2 + 6*j + 3. Let v be i(3). Let c be v/((-6789)/(-3390) + -2). What is c rounded to the nearest one hundred?
1100
Let y(n) = -n**3 + 2*n**2. Let l be y(2). Let p(f) be the third derivative of f**5/60 - 900*f**3 - 2*f**2. Let o be p(l). What is o rounded to the nearest 1000?
-5000
Let z = 0.01 - -0.01. Let d = z + -0.0200007. What is d rounded to six decimal places?
-0.000001
Let z = -2.8 - -1.3. Let d = -1.483 - z. Round d to two dps.
0.02
Suppose 0*z + 5*z + 257340 = 0. Let v = -95628 - z. Let r be (625/(-3))/(4/v). Round r to the nearest one million.
2000000
Let p(g) = 3*g**3 - g**2 + g + 1. Let b be p(-1). Let r be 3/12 - (-221)/b. Round r to the nearest 10.
-60
Let i = 32 - -56. Let y = i - 93.3. Let d = y + 0.8. Round d to the nearest integer.
-5
Suppose -20 = -a + 5*y - 2, 15 = -5*y. Let k be 3*(10/a)/2. Suppose s = -4*m - 609984, -s + 3*s - k*m = -1220020. What is s rounded to the nearest 100000?
-600000
Let t(h) = -5*h**3 - h**2 + 7*h + 5. Let s be t(7). Round s to the nearest 100.
-1700
Let b(o) = -2990*o**3 - o**2 - 6*o + 4. Let z be b(-6). Let g = -1045844 + z. Round g to the nearest 100000.
-400000
Let t = -5.555 - -5.1879. Let v = t - -0.36. What is v rounded to three decimal places?
-0.007
Let v = 30 + 27. Let k = -7411368634 + 7411368577.00000027. Let g = k + v. Round g to seven decimal places.
0.0000003
Suppose 0 = o - 0*o + 302. Let a = -161 - o. Suppose 0 = b - a - 149. Round b to the nearest one hundred.
300
Let l = 1.50000625 - 1.5. What is l rounded to seven decimal places?
0.0000063
Let v = 0.09 + -0.003. Round v to two decimal places.
0.09
Let v(r) be the second derivative of r**3/6 + 235*r**2/2 - r. Let g be v(0). Suppose -4*m = m + g. Round m to the nearest 10.
-50
Suppose -174 = -2*u + 240. Round u to the nearest 10.
210
Suppose -5*b + 3*p = 7, 2*b + 10 = -5*p + 1. Let w = 6 + b. Suppose -n + 3*z - 3544 = -6*n, -w*z = 4*n - 2832. Round n to the nearest 100.
700
Let t = -59 + 58.99935. Round t to four dps.
-0.0007
Suppose m = 2 - 0. Let w(p) = 3 - 4*p - 1 + 3 + 307*p**m. Let i be w(-5). What is i rounded to the nearest one thousand?
8000
Let r = -0.3 + 0.5. Let w = 0 - r. Let v = w - -0.2004. Round v to 3 dps.
0
Let f(k) = 611*k**2 - 8*k + 5. Let t be f(-7). Round t to the nearest 10000.
30000
Let r = 31 + -6. Let l = 99 - r. Let n = -74.00000029 + l. What is n rounded to 7 decimal places?
-0.0000003
Let l = 1.84 + -1.840000605. What is l rounded to | {
"pile_set_name": "DM Mathematics"
} |
? (a) -1 (b) x (c) 4
b
Let q be -7 + (-2 - (-240)/27). What is the fourth smallest value in q, 0, -3, 9?
9
Suppose 3*l - 4*c + 170 = 0, l + 2*l + 5*c + 152 = 0. Let g be (-3)/1*(0 - 4/l). Let r be (1/4)/((-3)/6). What is the second biggest value in -0.09, g, r?
g
Suppose 8 = 4*v - 4. Let k be 2/(((-3)/4)/v). Let m be (6 + -5)/((-2)/k). Which is the third smallest value? (a) 2/19 (b) m (c) -5
b
Let t = -0.82 + -0.48. What is the third smallest value in t, -0.3, 1, -5/4?
-0.3
Let t be 2/(-5) + (-377)/145. Which is the biggest value? (a) 2/89 (b) t (c) 2
c
Suppose 2*r - 23 = 3*s, s + 2*r = 7*r - 25. What is the biggest value in s, 31, 5?
31
Let r be (-96)/54 + (-6)/27. Suppose 1 + 8 = 3*f. Suppose f*z + 0*z = 15. What is the third biggest value in z, r, -1?
r
Let u = 0.6 + 2.5. Let l = -0.9 - u. What is the second smallest value in l, 5, -2?
-2
Let f = 2 + -1. Let r = 384 - 388. Which is the second biggest value? (a) -1 (b) -0.3 (c) r (d) f
b
Suppose -5*j + 5*i - 24 = -3*j, -17 = j - 5*i. Suppose -2*a + 3*a = -4. What is the third biggest value in -0.3, j, a?
j
Let r = -0.05 + -4.35. Let h = 0.4 + r. What is the second biggest value in h, -2, 5?
-2
Let f = 4.9924 - -0.0076. Which is the second biggest value? (a) f (b) -2/3 (c) 34 (d) 2/17
a
Let j = 49034/3 + -16695. Let w = 14813/39 + j. Let f = -88/3 + w. What is the third smallest value in 2/5, 2, f?
2
Let q = -12.5 + 12. Let p = -0.9 - q. Let c = -0.015 - -2.015. What is the third biggest value in c, -4, p?
-4
Let o = -0.1 - 3.9. Let p = 3 + -2. Let a = p - 2. What is the third smallest value in -1/6, o, a?
-1/6
Let b = -25/28 - -8/7. Let o(w) = w**3 - 13*w**2 - 16*w + 31. Let f be o(14). What is the third smallest value in -3, f, b?
f
Let d = 0.067 - 0.167. Let k = 144/115 + -15/23. Which is the smallest value? (a) d (b) 1/7 (c) k
a
Let o = -0.05 + 0.15. Let p = -8 - -7. Let t be -1 - p - (-1)/3. What is the smallest value in o, 2, t?
o
Let v = -2.1 - -2. Let o be (1/15)/((-480)/(-1800)). Which is the third smallest value? (a) v (b) -3 (c) o
c
Let i = -1105 + 1108. Let c = -0.1 + -0.3. What is the third biggest value in i, c, 4?
c
Suppose 9 = -4*k - 3*y - 4, 0 = 4*k + 4*y + 16. Let d be (8 + 119/(-15))/((-4)/10). What is the fourth biggest value in k, 5, 3, d?
k
Let c = -1.9943 - 0.0057. Let m be 1/(-2) + 2/8. What is the second biggest value in -1, m, c?
-1
Let v be 15*(-1)/(-6) + -3. Which is the biggest value? (a) -2 (b) 1 (c) v (d) 9
d
Let r = -21 + 36. Suppose -b + r = -2*m + 4, 9 = -3*m. Let v be (-4)/(-3)*(-6 - -3). What is the biggest value in v, 2, b?
b
Let v = -196 - -193. Let y = -0.24 - -0.64. Let o = -2 - -1.5. Which is the smallest value? (a) v (b) y (c) o
a
Let w be 15/(-75)*3/(-3)*-3. Let s be (-5)/2*3/(-30). Let l = -0.2 + 0.6. What is the third biggest value in l, s, w?
w
Let s be 0 - 0 - -2 - 1. Let d be (596/(-120))/(s/11). Let z = -109/2 - d. What is the second biggest value in z, -2/3, 3?
z
Let m = 0.6 + -3.6. Let u be 1 + (-5)/(25/2). Let d be (-24)/(-16)*12/99. Which is the smallest value? (a) u (b) m (c) d
b
Let b = 6.44 + -1.44. What is the third smallest value in -0.08, b, 3?
b
Let j = -0.3 + 0.5. Let z = -19 + 32. Let o = z - 11. What is the third biggest value in j, 1/2, o?
j
Let t(i) = i**3 - 7*i**2 - 4*i - 7. Let u be t(8). Suppose -5*q = 5*n + u, 0 = -2*q - q + 2*n + 10. What is the second smallest value in -0.5, q, 3, 1/5?
q
Let a be ((-24)/(-21))/4 + 0. Let y = 499/110 + -3/22. What is the biggest value in y, -4, a?
y
Let h = -1/89 - -359/267. Which is the third smallest value? (a) 1/7 (b) h (c) 1 (d) 4
b
Let f = -0.4 - -0.8. Let m = f + 0. Let j(l) = -2*l**3 - 35*l**2 + 37*l + 342. Let h be j(-18). Which is the second smallest value? (a) -2/9 (b) h (c) m
b
Let m = -44 - -10. Let r = m - -33.9. What is the third biggest value in 4, 1/6, r, -0.2?
r
Let f = 1995 + -2002. Let p = 14 + -10. What is the biggest value in -0.3, 0.2, f, p?
p
Let u = 354 - 354.5. What is the third biggest value in -9, -2/11, -1/8, u?
u
Let h = -1338 + 1338.1. Let i = 0.02 - 0.05. Let v be 1/(-10) - (-2)/4. Which is the second smallest value? (a) h (b) v (c) i
a
Let n = -44 - -43.98. What is the biggest value in -4, n, 11?
11
Let l = 229 - 216. Let p = -4 - -4.1. What is the third biggest value in p, -1, l?
-1
Let j = 29 - 29. Suppose -3*f = 5*n + 2*f + 75, j = 2*n - 2*f + 14. Which is the third smallest value? (a) -2/3 (b) n (c) -0.3
c
Let a = 557.73 - 560. Let v = 0.27 + a. Let f = 0.02 - -0.98. What is the smallest value in -4, f, v?
-4
Let d be 4 - (-6 - -1) - 4*1. Let u be 75/(-126) - (-2)/12. Which is the second smallest value? (a) d (b) 1/4 (c) u
b
Let q be (24/(-16) + 1)/((-1)/(-5)). Let u = -8 - -8.3. Let v = -1.3 + 0.9. What is the third biggest value in v, u, q?
q
Let w = -61 + 56. Let u = 0.8 + -0.1. Let m = u - 0.9. What is the smallest value in 3, m, w?
w
Let a = 0.2 - 0.3. Let m = 222 - 91. Let u = m - 131. What is the smallest value in u, -3/2, a?
-3/2
Let l = 0.2 + -0.4. Let j = -103.87 + 103. Let m = -2.87 - j. What is the smallest value in m, -4, l?
-4
Let i = 58 + -56. What is the fourth smallest value in -4, i, 1/2, 0.06?
i
Let j = 375 + -376. What is the fourth smallest value in 2/11, 0, -0.1, j?
2/11
Suppose 4*y - 5*w = 28, -y - 8 = 3*w + 2. Let r = -2/9 - -5/9. Let l = -1 + 1.1. What is the third smallest value in l, r, y?
y
Let s = 17 - 7. Let l = -8 + s. What is the third smallest value in l, -0.5, 2/5?
l
Let f(q) = -31*q - 156. Let y be f(-5). Let d be ((-2)/4)/(1/8). Let u be ((-1)/d*2)/y. Which is the third smallest value? (a) u (b) 0.2 (c) 7
c
Let y = 25.793 - -0.707. What is the third biggest value in -0.1, 1, y, 3?
1
Let m = 0.39 + -0.41. Which is the second biggest value? (a) m (b) 0.5 (c) -6
a
Let v = -53.949 - 0.051. Which is the smallest value? (a) v (b) 4 (c) 1
a
Let g be (8/9)/(((-12)/9)/(-2)). Let s = -0.07 - -0.27. Let h = -4.98 - 0.02. What is the smallest value in g, h, s?
h
Let d = -2966 - -26638/9. Which is the third biggest value? (a) -1 (b) 0.5 (c) d
c
Let r = -18 - -13. Let n = -169.92 - -169. Let p = n - -0.92. Which is the third smallest value? (a) p (b) r (c) -1.2
a
Let k = -90 + 126. Let u = k - 32. What is the second biggest value in u, -2, -3/7?
-3/7
Let z be (-2)/6 + (1 - 16/(-12)). Which is the third smallest value? (a) -6 (b) z (c) 5
c
Let o = -4.8 - 0.2. Let u = -0.0794 - 0.4206. Which is the second biggest value? (a) -6 (b) u (c) o
c
Let q = 6.84 - 7. Let t = q + -0.24. Let d be (-120)/(-25) - (-2)/10. What is the second smallest value in d, t, -3/7?
t
Let z = -1.48 - 0.02. Let o = z - 0.5. Let w = 19514.5 - 19514. What is the second smallest value in w, o, 12?
w
Let y be (-2260)/275 + 8 - 6/(-15). Let l = 0 - -0.2. What is the smallest value in 3, l, y?
y
Let q(i) = -2*i**2 - 11*i - 1. Let o be q(-5). Let z be o + ((-6)/15 - 4). Let h = 9 + 1. Which is the second biggest value? (a) z (b) 1 (c) h
b
Let u be (0 + 0)/(3*2/(-2)). What is the third smallest value in 75, 0.3, u, 0.1?
0.3
Let u = -77 + 78. Which is the second biggest value? (a) u (b) -60 (c) 2
a
Suppose 5*k - 53 = -3*m, -9*m + 5*m + k = -40. Which is the second biggest value? (a) m (b) 2 (c) 1
b
Let f = -0.13 - -0.21. Let u = f - 0.38. Which is the biggest value? (a) 0.4 (b) 2/3 (c) u (d) -1/4
b
Let t = 597.01 - 594. Let p = t + -3. Let j = -0.11 + p. What is the smallest value in 2/9, 5, j?
j
Let f = -170255/89 + 1913. What is the biggest value in -1/4, f, -3?
f
Let z = 3.189 + -0.189. Let b = 2.06 + -0.06. What is the biggest value in 2/7, b, z?
z
Suppose 0 = -13*m + 9*m - 8. Let o be m/6 + (-136)/(-192). What is the smallest value in o, 0, -0.4?
-0.4
Let p = 1819.4 + -1819. Which is the biggest value? (a) -4 (b) 7 (c) 6 (d) p
b
Let k(g) = -g - 5. Let u be k(-5). Let d be (-2)/(-8)*-1 + u. Let l be 6/(-4)*(-60)/18. Which is the third biggest value? (a) 0.3 (b) d (c) l
b
Suppose 0*m = 2*m. Suppose -139 = -5*g - v - v, 5*v - 10 = m. Let q = 53/2 - g. What is the biggest value in q, 0.1, 2/13?
2/13
Let z = -1771 - -1774. What is the smallest value in z, 2, 2/5, 25/19?
2/5
Let t = -30.8 - -31. Which is the biggest value? (a) t (b) -1/11 (c) 5 (d) 4
c
Let d be 3/4*(-30)/18. | {
"pile_set_name": "DM Mathematics"
} |
ment from sssvssssvssss. Give prob of picking 1 v and 3 s.
6/13
Two letters picked without replacement from dvvddddddddd. What is prob of picking 1 v and 1 d?
10/33
Three letters picked without replacement from qzqqqqqxxzq. What is prob of picking 2 z and 1 x?
2/165
What is prob of picking 1 b and 3 e when four letters picked without replacement from {b: 6, e: 12}?
22/51
What is prob of picking 4 b when four letters picked without replacement from {t: 4, z: 2, s: 3, f: 1, b: 4}?
1/1001
Three letters picked without replacement from {q: 1, u: 8, t: 6}. Give prob of picking 1 u and 2 t.
24/91
Calculate prob of picking 1 f and 1 t when two letters picked without replacement from ftffffftffff.
10/33
What is prob of picking 1 g and 2 t when three letters picked without replacement from {t: 13, g: 6}?
156/323
What is prob of picking 2 f when two letters picked without replacement from ztftfttffzzt?
1/11
What is prob of picking 2 f and 1 i when three letters picked without replacement from fiiiifiifiii?
27/220
Three letters picked without replacement from nbanbaabaa. Give prob of picking 2 a and 1 b.
1/4
Calculate prob of picking 2 p and 2 e when four letters picked without replacement from eeipkekiekipe.
2/143
Three letters picked without replacement from pkpkpp. Give prob of picking 2 p and 1 k.
3/5
What is prob of picking 2 x and 1 j when three letters picked without replacement from cxujkjcxxcxxkxjc?
9/112
Three letters picked without replacement from {o: 7, d: 3}. Give prob of picking 1 o and 2 d.
7/40
What is prob of picking 3 z and 1 p when four letters picked without replacement from {p: 2, z: 6, i: 3, u: 1}?
8/99
Calculate prob of picking 4 v when four letters picked without replacement from {r: 2, v: 11}.
6/13
Calculate prob of picking 3 d when three letters picked without replacement from {a: 3, d: 9}.
21/55
Three letters picked without replacement from odsammmommomodmdd. Give prob of picking 1 a and 2 o.
3/340
What is prob of picking 2 l and 1 c when three letters picked without replacement from xltlecxpc?
1/42
Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {v: 2, y: 4, z: 2, b: 8}.
1/70
What is prob of picking 2 z and 1 t when three letters picked without replacement from tvzz?
1/4
Three letters picked without replacement from spjaaapjjj. What is prob of picking 1 s, 1 p, and 1 j?
1/15
Four letters picked without replacement from {z: 3, d: 13, y: 3}. What is prob of picking 2 z and 2 y?
3/1292
Calculate prob of picking 3 z when three letters picked without replacement from iszlizzzzzsz.
7/44
Two letters picked without replacement from {d: 1, r: 3, a: 5, z: 1}. What is prob of picking 2 a?
2/9
Four letters picked without replacement from mmmmzmmmmmmmvmmmmm. Give prob of picking 4 m.
91/153
Three letters picked without replacement from zzxlxzxfcfffxfxl. What is prob of picking 2 z and 1 f?
3/112
Calculate prob of picking 1 o and 1 f when two letters picked without replacement from oggvggggfogfg.
2/39
Calculate prob of picking 1 l, 1 k, and 1 m when three letters picked without replacement from lmkkkdkmkkklmdkkkd.
5/68
Three letters picked without replacement from {u: 7, w: 6}. Give prob of picking 2 u and 1 w.
63/143
What is prob of picking 1 x and 1 h when two letters picked without replacement from {h: 17, x: 2}?
34/171
Calculate prob of picking 2 g and 1 t when three letters picked without replacement from {h: 7, g: 2, t: 9}.
3/272
Two letters picked without replacement from cncecccccccncc. Give prob of picking 2 n.
1/91
Two letters picked without replacement from {o: 2, l: 1, c: 1, i: 2, w: 1, y: 2}. Give prob of picking 1 l and 1 y.
1/18
Three letters picked without replacement from {l: 7, u: 3, q: 6, n: 1}. What is prob of picking 1 q and 2 l?
63/340
Two letters picked without replacement from {n: 12, u: 1, k: 2, v: 2, x: 3}. Give prob of picking 2 k.
1/190
What is prob of picking 1 g and 1 f when two letters picked without replacement from {f: 1, g: 2, n: 1}?
1/3
What is prob of picking 2 e when two letters picked without replacement from {e: 3, s: 1}?
1/2
Two letters picked without replacement from wfsfwfyfwlyseyl. Give prob of picking 1 s and 1 y.
2/35
Calculate prob of picking 1 r and 1 h when two letters picked without replacement from lhgslrrhb.
1/9
Four letters picked without replacement from {k: 10, o: 4}. What is prob of picking 3 o and 1 k?
40/1001
Four letters picked without replacement from {n: 4, q: 8, h: 3, u: 1, j: 1}. Give prob of picking 1 j and 3 n.
1/595
What is prob of picking 2 i and 1 d when three letters picked without replacement from iiiiiididdiiii?
165/364
Four letters picked without replacement from qbqqqqqqqqcqqqbbbcb. Give prob of picking 2 q and 2 b.
55/323
Calculate prob of picking 2 w and 1 g when three letters picked without replacement from {w: 7, g: 6}.
63/143
Three letters picked without replacement from mmmmqmmmcqmmqmmmm. Give prob of picking 3 m.
143/340
What is prob of picking 4 f when four letters picked without replacement from {u: 4, c: 2, f: 7}?
7/143
Four letters picked without replacement from {c: 12, r: 3}. What is prob of picking 2 c and 2 r?
66/455
What is prob of picking 3 q and 1 g when four letters picked without replacement from {g: 4, d: 4, q: 6}?
80/1001
Two letters picked without replacement from {t: 3, q: 13}. Give prob of picking 2 t.
1/40
Three letters picked without replacement from {l: 1, k: 7}. Give prob of picking 1 l and 2 k.
3/8
Two letters picked without replacement from rtult. Give prob of picking 1 r and 1 t.
1/5
Four letters picked without replacement from jreqqqqgeqrr. Give prob of picking 1 g, 1 j, and 2 q.
2/99
Three letters picked without replacement from {y: 1, n: 1, u: 8, h: 6}. Give prob of picking 2 u and 1 h.
3/10
Four letters picked without replacement from {u: 1, k: 2, n: 4, w: 1, e: 1}. What is prob of picking 2 n and 2 k?
1/21
Two letters picked without replacement from hzohzoohohho. Give prob of picking 1 o and 1 h.
25/66
Two letters picked without replacement from ggoggggggo. What is prob of picking 1 o and 1 g?
16/45
Three letters picked without replacement from ppppxpppppppppppppp. What is prob of picking 2 p and 1 x?
3/19
Calculate prob of picking 2 k when two letters picked without replacement from {d: 5, k: 2, c: 8}.
1/105
What is prob of picking 3 t when three letters picked without replacement from {g: 1, z: 1, t: 1}?
0
Three letters picked without replacement from {f: 1, h: 8, e: 11}. Give prob of picking 1 e and 2 h.
77/285
Calculate prob of picking 1 b and 3 g when four letters picked without replacement from gvppvggbg.
2/63
Four letters picked without replacement from mmggqmgqqgqmmmgmm. What is prob of picking 1 q and 3 g?
2/119
Three letters picked without replacement from {k: 2, j: 3, p: 3, l: 9}. What is prob of picking 2 j and 1 k?
3/340
What is prob of picking 1 z and 1 x when two letters picked without replacement from {i: 1, q: 1, c: 2, z: 1, x: 1, r: 1}?
1/21
What is prob of picking 1 g, 1 f, and 2 x when four letters picked without replacement from {x: 12, f: 1, g: 1, o: 1}?
22/455
Two letters picked without replacement from cqz. Give prob of picking 1 z and 1 q.
1/3
What is prob of picking 1 d and 2 i when three letters picked without replacement from nnlyidiidn?
1/20
Three letters picked without replacement from yyoy. Give prob of picking 3 y.
1/4
Calculate prob of picking 2 o and 1 t when three letters picked without replacement from qmmtotmqtoqmqmmmmmm.
1/323
What is prob of picking 3 n when three letters picked without replacement from {n: 4, c: 5, d: 2}?
4/165
Three letters picked without replacement from tgctccctctyd. What is prob of picking 1 g, 1 d, and 1 t?
1/55
Two letters picked without replacement from {l: 6, c: 2, g: 3, r: 4, h: 1}. Give prob of picking 1 g and 1 l.
3/20
Calculate prob of picking 2 m and 1 u when three letters picked without replacement from azmlufmfz.
1/84
Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, c: 6, o: 4, a: 2, h: 1}.
1/40
Two letters picked without replacement from ggqq. Give prob of picking 1 q and 1 g.
2/3
Calculate prob of picking 1 w, 1 o, and 1 u when three letters picked without replacement from quwowq | {
"pile_set_name": "DM Mathematics"
} |
s the biggest value in 0, c, a?
a
Let p = -7 + 3. Which is the second smallest value? (a) 1/4 (b) p (c) 0.3
a
Let r = -0.5 - -0.1. Let i = 1/750 - -743/5250. What is the second smallest value in 5/4, i, r?
i
Let i = 1/28 + -67/308. Which is the biggest value? (a) -3 (b) 0.3 (c) -0.3 (d) i
b
Let l(h) = h**2 + 2*h + 1. Let s be l(-1). Let n be (11 - 2) + (s - 4). Let o = 2.2 + -2. Which is the third smallest value? (a) -0.3 (b) n (c) o
b
Let t = -0.9 + 0.6. Let y = 3 - 5. Let z = y - -6. What is the biggest value in -0.2, z, t?
z
Let t = -2.5 - -3. Let v = 0.3 - 0.1. Let r = 425/1176 + 2/147. What is the third smallest value in t, v, r?
t
Suppose 15 = a - 4*a. Let u = a + 9. Let z be (u/6)/((-14)/63). What is the second smallest value in 0.3, 2/11, z?
2/11
Let x = -15 - -20. Which is the biggest value? (a) 0.1 (b) x (c) -1
b
Let k = -61 + 61. What is the fourth smallest value in 5, k, 0.3, -2?
5
Let s = -34968/5 + 5979943/855. Let x = -5/19 + s. Which is the second biggest value? (a) 1 (b) -1/3 (c) x
c
Let k be 3 - 3/((-120)/91). Let l = k + -39/8. What is the second biggest value in 1, l, -5?
l
Let m = -0.51 - -0.81. Let a = -5 + 8. What is the biggest value in m, 2/5, a?
a
Let d = 2 + 3. Let r = 1.1 + -0.1. Which is the third biggest value? (a) d (b) r (c) 0.1
c
Let j = 0.14 - -5.86. Let h = -4 + j. Which is the second biggest value? (a) 0 (b) h (c) -0.1
a
Let x = 46 + -45. What is the second smallest value in 3, x, 2/3, 0.3?
2/3
Let r = -2 + 0. Let m = r + 1. What is the third biggest value in 5/3, m, -4?
-4
Let i = -0.136 - -5.136. Which is the third smallest value? (a) 3 (b) i (c) 43
c
Let q be 34/12 + -6 + 3. Which is the smallest value? (a) q (b) 1/2 (c) -2/9
c
Let k(z) = -1 - 4 + z + 4. Let t be k(-4). Let w = 4210/13 - 324. What is the smallest value in 0, t, w?
t
Let d = -0.12 + 0.32. Which is the third smallest value? (a) d (b) 3 (c) 0.03
b
Let t = 65/76 + -2/19. Suppose 4*s + 180 = -4*d + 28, 0 = 4*s - 20. Let q = -218/5 - d. Which is the third biggest value? (a) t (b) -1/2 (c) q
c
Suppose -4*g = -5*b - 1, 2*b - 4 = g - 2. Let z = -5.5 + 6. What is the third smallest value in z, g, 2/3?
g
Let v be ((-16)/(-9))/(-8) - 0. Which is the third biggest value? (a) v (b) -1/11 (c) -6
c
Let b = -0.5 + 0.1. What is the second biggest value in 2, -3, b?
b
Let v = -2.78 - -2.48. Let c = 1.3 - 0.3. Let z = 1.2 - c. What is the third biggest value in z, v, 5?
v
Let z be (9/3 + -5)*1. Let s be ((-3)/3)/(1/z). Let d = s + 1. Which is the second smallest value? (a) d (b) 3/8 (c) 2/19
b
Let s = -1 - 1. Let j = s + 2.3. Which is the third biggest value? (a) j (b) -4/5 (c) 1/6
b
Let p = 138 - 134.95. Let v = 0.05 - p. What is the second biggest value in -4, 3, v?
v
Suppose 3*q - 4*k = 2*q - 16, -5*k + 20 = -4*q. Let s = -0.3 - -1.3. Let c = s + -4. What is the smallest value in q, c, -2/9?
c
Let p = 54 + -37. Which is the smallest value? (a) 0.4 (b) 3 (c) p
a
Let f = 12.5 - 13. Let z = 0.7 - 0.8. What is the smallest value in z, f, 2/7?
f
Let k = 0.6 - 3.6. Let w = 1 + k. Let m = w - -1.6. Which is the second biggest value? (a) -1 (b) 0 (c) m
c
Let h = 0.1 - 0.9. Let n = 4.2 - h. Suppose 3*q = 5*c + 2 - 10, 2*q + c = -1. What is the second smallest value in n, q, -2?
q
Let m be (-4)/6*3/(-23). Let t = 0.204 + -0.104. Which is the third biggest value? (a) 0.3 (b) m (c) t
b
Let o = 8/1053 - -739118/11583. Let w = -64 + o. Which is the smallest value? (a) 3 (b) w (c) -2/7
c
Let m = 0.06 + -0.09. What is the third smallest value in 0.4, m, 5?
5
Suppose u = 5*h + 23, 5*u + 5*h + 7 - 2 = 0. Let s = 75.8 - 76. Let w = 5.6 + -6. Which is the biggest value? (a) u (b) s (c) w
a
Let m = 6.31657 - 0.14357. Let i = 0.027 + m. Let d = i - 6. What is the third smallest value in d, -2/11, 0.5?
0.5
Let k = 11 - 12.1. Let v = -0.7 - k. Which is the second smallest value? (a) -0.1 (b) 4 (c) v
c
Let m = -10.9 - -7.9. Which is the second smallest value? (a) m (b) 1 (c) 2
b
Let r = 23 - 20. Let z = -0.4 - -0.7. Which is the biggest value? (a) z (b) -0.4 (c) r
c
Let l be 2/4*(-40)/30. What is the smallest value in l, 5, 0.2?
l
Let n = 0.78 - 2.84. Let o = n + 0.06. Let r(v) = -v**2 + v - 3. Let u be r(2). Which is the biggest value? (a) o (b) u (c) 0.2
c
Let f = -0.9 + -0.1. Let w = -3.4 - f. Let u = w + 2. Which is the biggest value? (a) u (b) 4 (c) 3
b
Let d = 8 + -6. Let j = -2 - d. Let y = 0 + j. Which is the third biggest value? (a) -2 (b) 0 (c) y
c
Let l be (2/(-5))/(2*1). Suppose -5*u + 4*x + 7 = 0, 9 = u - 3*x + 1. What is the second smallest value in u, l, 1?
l
Suppose -5*g - 3*j = 33, 5*j = -4*g - 0*j - 29. Let x be (8 + g)*(-1)/(-2). What is the smallest value in 0.5, x, -0.1?
-0.1
Let c = -0.06 - -3.06. Let b = -1 - 1. What is the third smallest value in c, b, 2/5?
c
Let n = -442/5 + 88. Let c be 35/(-42)*(-4)/10. What is the third biggest value in 0.1, c, n?
n
Suppose -5 = -z - d, z - 2*d - 2 + 0 = 0. Let h = 0.1 - 0. Let n = h - -4.9. Which is the second biggest value? (a) n (b) z (c) -5
b
Let n = 0 + -3. Let j = -0.1 - 0.3. Let z = 4.4 + j. Which is the third biggest value? (a) z (b) n (c) -4
c
Let j = -12 - -7. Let t = 51.7 + -57. Let p = j - t. Which is the third smallest value? (a) p (b) -2 (c) 3
c
Let u(o) = o**3 - 14*o**2 - 15*o + 4. Let i be u(15). Which is the third biggest value? (a) -5 (b) 0.3 (c) 1/3 (d) i
b
Let q = -31.94 + 29. Let v = -8 + 8.06. Let m = q - v. What is the second smallest value in 5, m, 0.2?
0.2
Let r = -0.17 + -0.33. Which is the biggest value? (a) 0 (b) r (c) -1
a
Let f = 0.8 - 0. Which is the second biggest value? (a) 3 (b) 2/7 (c) f (d) 2/11
c
Let o be (18/(-12))/((-6)/(-4)). What is the fourth biggest value in -0.5, -27, 0.2, o?
-27
Let t(q) = -q**2 + 4*q - 2. Let g be t(4). Let z = -3.6 - -1.9. Let a = z + 2. What is the second biggest value in a, g, 3?
a
Let q = -0.75 + -0.25. Which is the third smallest value? (a) 5 (b) q (c) -5
a
Let f(s) = -s**3 - 8*s**2 + 7*s - 13. Let n be f(-9). Suppose -5 = -3*r - n*i, r + 4 = -2*i + 7. What is the biggest value in -1, -16, r?
-1
Let q = 5 - 8. Let g be q/6 - (-2)/4. Let a = -1.6 - -1.59. What is the third biggest value in g, a, -5?
-5
Let m = -5 - -8. Let n = m - 2.8. Let q = 1/25 - 27/50. Which is the smallest value? (a) n (b) 2 (c) q
c
Let k = 7.1 + -1.1. Let s = k + -4. Which is the second biggest value? (a) 0 (b) 1 (c) s
b
Let q(j) = -7*j + 23. Let v be q(4). What is the second biggest value in v, 3, -2/11, -2?
-2/11
Let d be (32/12)/((-1)/(-3)). Let w be d/10*1/6. Let u = -61/120 + w. What is the second biggest value in u, 1/5, 2/11?
2/11
Let u(o) = 4*o. Let i be u(-1). Let k(w) = w**2 + 3*w - 3. Let m be k(i). Let v = 4 - 2. What is the smallest value in 4, v, m?
m
Let r = -71 + 70.63. Let n = -0.03 + r. What is the second smallest value in 2, -1, n?
n
Let f = 4/21 - -2/21. Which is the second smallest value? (a) -5/6 (b) f (c) -5
a
Let q be (0 - (-13)/18) + 2/(-4). What is the second smallest value in q, 0.4, 0?
q
Let y = -12 + 15. Let n = 94/35 - 12/5. Which is the biggest value? (a) y (b) n (c) -5
a
Let x be 4/(-72) - 2/(-4). What is the third smallest value in 0.3, 0.4, x?
x
Let x = -2/119 + 127/476. Let u = 1.3 + -0.3. Let a = -1 - -0.6. What is the third biggest value in u, x, a?
a
Let r(y) = y**3 - 6*y**2 - 7*y + 5. Let o be r(7). Let h be (-4)/o*(-14)/56. Which is the smallest value? (a) -3/4 (b) 5 (c) h
a
Let f = -88 - -87.7. Which is the smallest value? (a) -5 (b) f (c) -0.2
a
Let l = 2.6 - 2.2. What is the smallest value in l, -1/9, 4?
-1/9
Let c = -1.96 - 0.04. Let y be (-52)/(-35) - (-4)/(-14). Let u = 7 - 5. What is the smallest value in y, c, u?
c
Let j = -0.2 - -0.1. Let w = j + 0.2. Let m = -69.3 - -69. Which is the third smallest value? (a) 3 (b) m (c) w
a
Let u = -1.17 + -0.13. Let n = -3 + 2.7. Let t = n - u. Which is the third smallest value? (a) -0.3 (b) t (c) -2
b
Let s = -4 - -1.9. Let g = -2 - s. Let y = 1.1 - 0.8. What is the third smallest value in 3/4, y, g?
3/4
Let z = 257/5 - 51. Let t = 10 - 7. Let r be ((-2)/10)/(1/1). What is the third biggest value in r, z, t?
r
Let q = 10 + -7. Let i(d) = d**2 + 4*d + 3. Let f be i(-2). | {
"pile_set_name": "DM Mathematics"
} |
biggest value? (a) -277 (b) 0.01 (c) 5/2 (d) -2/5
b
Which is the second biggest value? (a) -15 (b) 0.41658 (c) 3
b
What is the biggest value in -39, 5, 2/5, -427?
5
Which is the fourth smallest value? (a) 2/27 (b) -2 (c) -5 (d) 20 (e) 2/25
e
What is the biggest value in 4/5, 1/20, 49382, 0.3?
49382
What is the fifth biggest value in -0.3, -0.08, 3, -1, -62, -6/11?
-1
What is the third biggest value in -67, -3, 0, 0.1?
-3
What is the sixth smallest value in -1/4, 1.1, 1/12, -1/3, 0.3, -2/9?
1.1
What is the sixth biggest value in -5/4, 331, -0.3, 2/11, 1/2, -0.01?
-5/4
Which is the smallest value? (a) 227.85 (b) 0.2 (c) -0.4
c
Which is the second smallest value? (a) -2 (b) -677/2 (c) -4
c
Which is the second biggest value? (a) -1/2 (b) 3 (c) -340100 (d) 1/6 (e) -2/17
d
Which is the second biggest value? (a) -173 (b) -0.5 (c) -1/12 (d) 3 (e) 1/3
e
Which is the third biggest value? (a) 0.5 (b) 0.2 (c) 2/7 (d) -3276
b
What is the third smallest value in -1/5, 34/9, -1/114?
34/9
What is the second biggest value in 1, -5/3, -1310/9?
-5/3
Which is the second biggest value? (a) -4 (b) 4 (c) 32/267 (d) -3/16
c
Which is the sixth biggest value? (a) -0.07 (b) -7/11 (c) -2/39 (d) 1 (e) 2 (f) -1/9
b
Which is the fourth smallest value? (a) 1 (b) 6 (c) 194.9 (d) -2/9 (e) -12
b
Which is the third biggest value? (a) -1/12 (b) -0.47 (c) 2/21
b
Which is the second smallest value? (a) 36.7 (b) 5 (c) -5 (d) -2/9 (e) 6/7
d
What is the second biggest value in -239, -0.4, -16, -2/3?
-2/3
What is the third biggest value in -0.3, -38, -0.2, 0, 48, -2?
-0.2
What is the second smallest value in 0, -9, -0.4, -0.3, 3?
-0.4
Which is the second smallest value? (a) 27/49 (b) 1158 (c) -1
a
Which is the third biggest value? (a) -6/11 (b) -9/4 (c) 9 (d) -4/5
d
Which is the fourth smallest value? (a) 0.4 (b) 0 (c) -5/6 (d) 1.084
d
What is the smallest value in -0.12, 0.4, -1, 2/7, 1.24, 0?
-1
Which is the third smallest value? (a) 69 (b) -1/2 (c) 4798
c
Which is the fourth biggest value? (a) 0.1 (b) 1 (c) 11 (d) -9 (e) -0.05
e
Which is the biggest value? (a) -61/188 (b) -2/15 (c) 12
c
What is the biggest value in -0.1294, 4, 10, 2/17, 3?
10
What is the third biggest value in 2, 0.1, -13/10, 27, -5, -1/5?
0.1
Which is the fourth biggest value? (a) -7 (b) -1/4 (c) 141/67 (d) 0.2
a
Which is the second biggest value? (a) -0.08 (b) -1 (c) 3 (d) 3/2 (e) 241 (f) -31
c
Which is the fifth biggest value? (a) 84 (b) 1 (c) 3 (d) 0 (e) 1/7
d
Which is the smallest value? (a) -4/5 (b) 1/2 (c) 2 (d) 1151 (e) -5
e
Which is the third biggest value? (a) -1/2 (b) 30 (c) 1 (d) 2/3 (e) -1/4
d
What is the smallest value in 5, 1/5, -3.64, 4/9?
-3.64
Which is the fourth smallest value? (a) -3/2 (b) -307 (c) -189 (d) -0.2 (e) 0.4
d
What is the smallest value in -3, -308, -0.3?
-308
What is the fifth smallest value in 4/7, 3685, 0.1, -12, -2, 2?
2
Which is the second biggest value? (a) -9 (b) 11/4 (c) -2/3 (d) 3/7
d
Which is the fourth biggest value? (a) -2 (b) -0.3 (c) -4 (d) 1828
c
What is the second smallest value in -3, 1, 1/3, 9, -56?
-3
What is the smallest value in 2/7, -32.7, -124?
-124
What is the fourth smallest value in 1, -0.1, -5, -2, 8, -1086?
-0.1
What is the second smallest value in 23.203, -1, 20?
20
Which is the third biggest value? (a) -27/74 (b) 0 (c) -6
c
What is the smallest value in -3, 0, 6222, -0.2?
-3
What is the second biggest value in 100, -0.4, -1, -3/47?
-3/47
Which is the fourth smallest value? (a) -2641 (b) 2/17 (c) 2 (d) -2 (e) 4
c
Which is the second biggest value? (a) -2 (b) -14 (c) -1/5
a
What is the fourth smallest value in -0.05, -0.2, -96, 0.1?
0.1
What is the third smallest value in -1/4, 2/21, 1/73, 482?
2/21
Which is the smallest value? (a) 78 (b) -4/3 (c) -210
c
What is the biggest value in 126, -0.17, -5?
126
What is the fourth biggest value in -537, 5, 1.15, -5?
-537
What is the biggest value in 3.8, -2/5, 0.3, -23, -3?
3.8
What is the second smallest value in 0, 3/7, 0.3, -0.0011, -10?
-0.0011
Which is the third smallest value? (a) -0.5 (b) 63 (c) -2/3 (d) 11 (e) -5 (f) -229
c
What is the smallest value in 1/676, 3, -0.3?
-0.3
What is the fourth smallest value in -0.2, 0.33, 1/16, -3, 0?
1/16
Which is the second smallest value? (a) 3/7 (b) -5 (c) -286 (d) 6 (e) -8
e
What is the second smallest value in 20, -8/9, 1/20, 0, 2/11, -4?
-8/9
What is the biggest value in 5/2, 0.02, -90?
5/2
What is the second smallest value in 0.01, -0.5, 41/5?
0.01
Which is the third smallest value? (a) 7 (b) 3 (c) -86/25
a
What is the fourth biggest value in 4336, -6, 1/3, -4, 1, 0.5?
1/3
Which is the smallest value? (a) 0.1 (b) 34/3 (c) 2/9007
c
What is the second smallest value in -0.5, -22, -10, -2047?
-22
What is the fourth smallest value in -1, 12, 7/5, -4/5, -47?
7/5
Which is the second biggest value? (a) -0.2 (b) -1/3 (c) 17306 (d) 12
d
What is the second smallest value in 1, -1/149, -0.419?
-1/149
Which is the third biggest value? (a) 2 (b) 0.2 (c) 118/25
b
Which is the second smallest value? (a) -2.91 (b) 37 (c) -14
a
Which is the third smallest value? (a) 3/2 (b) -211 (c) 5 (d) 4
d
Which is the fourth biggest value? (a) 2 (b) -2/5 (c) -16.8 (d) 0.1
c
Which is the third smallest value? (a) -2 (b) 10/3559 (c) 0.4
c
Which is the fourth smallest value? (a) -2/7 (b) -1.3 (c) 1/5 (d) -0.3 (e) 3 (f) -8
a
What is the smallest value in -2/5, -3, 95, -4, -4/7?
-4
What is the second biggest value in -1007, 4, -32/7?
-32/7
What is the smallest value in 3/5, -2/3, -14, 1/6?
-14
What is the fourth smallest value in 0.043, 1.2, -4, -2/15, 4?
1.2
What is the smallest value in -3, 5/41, -46, 3?
-46
What is the third biggest value in -40, 15, 17?
-40
Which is the third biggest value? (a) 31 (b) -191/3 (c) 0.08
b
What is the third biggest value in -0.4, -5, 32, -541, 2/7?
-0.4
What is the biggest value in 20/7, -344, -7?
20/7
Which is the fourth biggest value? (a) 4 (b) 0.1 (c) -0.233 (d) 2/7 (e) 3
b
Which is the fourth biggest value? (a) 3 (b) -6.8 (c) -1457 (d) 3/4
c
Which is the fourth biggest value? (a) 146 (b) -1.171 (c) -2/9 (d) -3/8
b
What is the fourth biggest value in 102, 0.5, -0.2, 15.3, 1/10, 4/7?
0.5
Which is the third biggest value? (a) 2 (b) -1 (c) 53.39
b
Which is the third smallest value? (a) 2/5 (b) -9 (c) -166
a
What is the smallest value in -4937, -2, 0.3, 0.4, -1?
-4937
What is the fourth smallest value in -26, 1/7, 4, -5, 17, 0.2?
0.2
Which is the biggest value? (a) 5/29 (b) -6 (c) 3/4 (d) -22
c
Which is the third smallest value? (a) 2/3989 (b) -3 (c) 0.1 (d) 0.5 (e) -3.9 (f) 1
a
Which is the third smallest value? (a) -4/3 (b) -13 (c) 59/5
c
Which is the biggest value? (a) 18 (b) -0.64 (c) -1/11 (d) -2/17
a
What is the fourth biggest value in -0.2, 12, 1/2, 259?
-0.2
Which is the third smallest value? (a) -7 (b) 0 (c) 66
c
Which is the fourth smallest value? (a) 3 (b) 1 (c) 2/17 (d) 13/94
a
What is the smallest value in -1/167, -2/7, 87, 0.4?
-2/7
What is the biggest value in 461, 3/8, -5, -0.1, 4?
461
Which is the fifth smallest value? (a) 67/3 (b) -0.5 (c) 2 (d) 0.1 (e) -2 (f) -3
c
Which is the fifth smallest value? (a) 4 (b) -36 (c) 2/3 (d) 0.16 (e) -17
a
Which is the fourth biggest value? (a) 2 (b) 5 (c) -5 (d) -12 (e) 994/11
c
Which is the biggest value? (a) 5 (b) 2 (c) -3 (d) 1 (e) -0.3 (f) 2/4791
a
Which is the fourth smallest value? (a) -240 (b) 1/8 (c) 0.3 (d) 6
d
Which is the third smallest value? (a) 3944 (b) 3/5 (c) 0.162 (d) -0.1
b
What is the smallest value in -3, 11, 11.12?
-3
Which is the second smallest value? (a) 0 (b) 283 (c) 552 (d) -3
a
Which is the fifth biggest value? (a) 0.14 (b) 2 (c) -3 (d) -0.07 (e) -0.3 (f) 85
e
Which is the fourth smallest value? (a) 3/5 (b) 0.2 (c) 439 (d) -0.4
c
Which is the second smallest value? (a) 2/7 (b) 0 (c) -69 (d) 0.3 (e) -8/7
e
What is the third smallest value in -0.4, -0.6, -1/6, -9/10, -31?
-0.6
What is the biggest value in -3/4, -161, 115, -0.05?
115
Which is the second smallest value? (a) 2/9 (b) -4/5 (c) -3 (d) 2/11 (e) -1155
c
What is | {
"pile_set_name": "DM Mathematics"
} |
/8
Calculate (2/(-10))/(1/2)*8200/(-80).
41
Evaluate ((-11)/(-220))/((-9)/36).
-1/5
What is the value of 16/(-2)*373/373?
-8
Evaluate (-96)/(-6)*1/12*-3.
-4
Evaluate (48/576)/(2/((-144)/(-8))).
3/4
Calculate (-5)/(-20)*-87*(-172)/129.
29
What is the value of ((-2)/3)/(((-4)/11)/((-966)/161))?
-11
What is the value of (74/19425*-6)/(12/14)?
-2/75
Calculate (((-3)/((-3)/1))/(-4))/(863/75944).
-22
What is (380/114)/(4/(-6))*4/(-20)?
1
What is ((-69)/(-3542)*44)/(30/(-56))?
-8/5
Evaluate ((-16)/14)/(26/(3276/162)).
-8/9
Calculate (104/(-38))/(31*134/(-39463)).
26
What is the value of (2/(8/12))/(29/(870/3645))?
2/81
What is the value of (261/290)/((-24)/(-16))?
3/5
Calculate (2/(-10))/(24/(-48)).
2/5
What is the value of (-828)/(-17250)*25/(-135)*3?
-2/75
18/(-154)*(-3150)/675
6/11
What is the value of 2/2*((-8)/6)/(5190/519)?
-2/15
Evaluate 50/(-7)*(-883)/4415.
10/7
What is (-10)/(-7)*1040/(-2600)?
-4/7
What is the value of 18/(-5)*(-950)/285?
12
8/(-272)*17*-26
13
(6/75*1*5)/(448/(-3080))
-11/4
Evaluate ((-4)/16)/(11/8228*11).
-17
Calculate ((-11)/((-187)/34))/((-2)/(-22))*1.
22
What is -4*5/5*-1*7/392?
1/14
What is (((-319)/(-5046))/11)/((-2)/(-8))?
2/87
(60/(-100))/(((-144)/210)/8)
7
Evaluate ((-16)/((-352)/33))/((-180)/(-16)).
2/15
What is ((-740)/1332)/(5/(-18))?
2
What is (6/(-9))/((-680)/(-306))?
-3/10
Calculate (-459)/3*2/(-18).
17
((-4)/((-3)/(18/60)))/((-14)/10)
-2/7
What is (11/((-396)/(-9)))/((-4)/((-32)/26))?
1/13
Calculate (6*(-1)/36*27)/15.
-3/10
(-3)/(-5)*(-35)/(-14)*(-172)/129
-2
Calculate ((-2)/(-6))/(((-17)/(-34))/(21/(-14))).
-1
What is the value of ((-1812)/(-1510))/((-3)/30*(-18)/(-39))?
-26
What is the value of (440/(-2288))/((-10)/16*2)?
2/13
Evaluate (-90)/(-105)*252/120.
9/5
Calculate 24/7*-1*(-3)/(60/70).
12
(400/(-1625))/(180/(-225))
4/13
Calculate (5/(-9))/(3540/(-4248)).
2/3
What is the value of ((2/(-6))/(2/(-3)))/(4530/72480)?
8
Calculate (8/30)/(192/80).
1/9
Evaluate 172/(-344)*3/(6/(-28)).
7
What is (4*55/(-40))/((-3)/(-6)*-1)?
11
Calculate ((-1)/(-5))/((63/(-2625))/(9/(-15))).
5
2/(((-30)/5)/6)
-2
What is the value of (((-10)/385)/((-8)/(-88)))/(2/(-91))?
13
What is 5*((-13832)/140)/38?
-13
Calculate ((-1)/2*2)/(4*7/28).
-1
(24/30)/((4352/(-40))/16)
-2/17
Calculate (4/(-20))/(((-2057)/(-110))/(-11)).
2/17
Calculate (20*17/340)/((-7)/(35/5)).
-1
What is ((72/(-9))/8)/((-6)/132*2)?
11
Calculate (24/(-9))/((-40)/(-300)).
-20
(33/495)/(3/(-10))*-4
8/9
Evaluate -24*6/10*(-75)/(-135).
-8
(-7*(-24)/12)/6
7/3
What is the value of (-10)/(((-1)/(-30)*-3)/((-2)/10))?
-20
Evaluate (-6)/(-45)*126/(-28).
-3/5
(-1)/(((-6)/2)/6*(-119)/(-85))
10/7
Evaluate (((-704)/48)/(-22))/((-3)/(9/2)).
-1
What is the value of 4/(-6292)*-22*-11?
-2/13
((-21)/(-105))/(2/14*(-126)/(-36))
2/5
What is the value of (-340)/(-9928)*4*(-7)/35?
-2/73
Evaluate ((-5)/(-3))/(((-4375)/225)/(-35)).
3
Evaluate (-10)/(-70)*7*(-64)/(-8)*-2.
-16
Evaluate 10*(32/(-16))/(-2*5).
2
Evaluate ((-6)/(-32))/(879/(-586)).
-1/8
What is ((-16)/72)/((-28)/(-882))?
-7
What is the value of -2*((-21)/(-56))/(51/(-1292))?
19
What is 10*8/144*6*18/(-5)?
-12
What is the value of ((-8)/18)/((-1780)/15*18/108)?
2/89
Evaluate ((-2)/(-12))/((-490)/(-315)*18/(-21)).
-1/8
Calculate 5/(((-23925)/10)/(-33)).
2/29
Calculate (-56)/4*174/203*1/(-3).
4
What is the value of (-23)/(-92)*4*2/34?
1/17
Calculate -2*21/(1806/559).
-13
((-51)/((-765)/(-12)))/(14/10)
-4/7
-3*4/30*(-675)/(-540)
-1/2
2*-1*22/(-132)*(-21)/(-1)
7
What is 4*23/((-345)/20)*(-492)/(-64)?
-41
Calculate (((-12)/2)/(15/2))/(2/30).
-12
Calculate 682/(-44)*(-112)/248.
7
Calculate 524/(-262)*(-2)/10*2*-2.
-8/5
What is the value of 6/39*(-31)/(1023/(-33))?
2/13
(4/(-14))/(8/((-5824)/(-13)))
-16
What is 3/2*((-23)/(-6))/(-23)?
-1/4
What is (2/9)/(16/(-48)*2)*9?
-3
Evaluate (((-243)/6)/(-9))/(((-450)/(-12))/25).
3
What is ((1/1)/4)/((-505)/(-14140))*2?
14
Calculate 75/(-15)*8/(80/(-6)).
3
Calculate (48/(-928))/((-7)/(112/(-12))).
-2/29
Evaluate (((-1092)/(-18))/(-26))/((-1)/6*2).
7
Calculate ((-5)/15*0)/1.
0
Calculate -15*(6/8)/((-120)/(-96)).
-9
((-132)/(-99))/(((-6)/45)/(-1))
10
What is (-234)/(-450)*5*10/(-2)?
-13
Evaluate 44*(11/(88/6))/3.
11
Calculate 5*8*(-6)/30.
-8
What is the value of ((64/(-24))/(4/(-3)))/((-4)/6)?
-3
What is 19/(7524/(-55))*(-3)/(-5)?
-1/12
What is 4/(((-840)/(-45))/(-14))?
-3
What is the value of ((-41)/2091)/(12/36)?
-1/17
10*1*921/(-26095)
-6/17
Evaluate 1/(((-279)/(-62))/((-6)/(-16))).
1/12
What is 9/(((-861)/(-287))/((-3)/(2/2)))?
-9
What is the value of 79/(-79)*(-1)/(-2)?
-1/2
9/2*648/729
4
Evaluate ((-114)/(-95))/(108/(-80)).
-8/9
What is 2547/3396*32/2?
12
What is (75/800*-40)/(1/(-8)*3)?
10
What is the value of (120*152/7980)/(10/(-7))?
-8/5
Evaluate (-2)/(-4)*611/329*1*-7.
-13/2
What is the value of -108*38/(-7182)*(-7)/(-36)*-2?
-2/9
What is ((-120)/45*15/(-4))/(-4)?
-5/2
Evaluate (-5)/(2*11/66).
-15
What is the value of (66/(-22))/((-2)/(-2)*(-52)/156)?
9
1*(-192)/(-8)*42/(-1120)*4
-18/5
(0/(-9))/((-2)/(-2))*10/(-10)
0
Calculate (434/(-155))/((-2)/(-5)).
-7
What is the value of (-13)/(-1014)*13*((-64)/(-12))/4?
2/9
Evaluate (39/(-104))/((-3)/(-24)).
-3
What is the value of ((-27)/81)/(3/18)*(-2)/26?
2/13
What is the value of 12/(-90)*(-15)/9?
2/9
Calculate (-84)/(-7)*(38/19)/(-6).
-4
(-25)/20*8/15
-2/3
Evaluate ((-44)/(-198))/((-8)/(-54))*-14.
-21
What is the value of 94/1269*(-3)/(-4)*6*12?
4
Calculate (((-90)/6)/(-45))/((-2)/(-12)).
2
Evaluate 4*(-19)/380*85.
-17
Evaluate (((-240)/(-7))/(-60))/((-4)/(-14)).
-2
What is 14*-7*8/(-112)*1*-2?
-14
Calculate ((-12)/(-6))/(-8)*104/(-2).
13
What is ((-462)/105)/(14/35)?
-11
Evaluate ((-7)/(-70)*-5)/((-62)/248).
2
Evaluate (362/9955)/(4*(-4)/(-176)).
2/5
((-988)/(-4085))/13*(-5)/(-2)
2/43
Evaluate (((-980)/420)/(7/(-6)))/((-4)/30).
-15
((-4)/(-4))/((-90)/1530)
-17
Calculate (-24)/(-36)*45*(-4)/(-20).
6
4/((-11)/(165/(-6))*10/8)
8
What is 2/((-2)/3*-11*23/506)?
6
Calculate (-180)/27*(-306)/85.
24
(-3)/((-99)/(-2112))*(-1)/(-2)
-32
What is (15/60*324)/(-3)?
-27
What is the value of (-40)/(-72)*3*(-360)/(-50)*-1?
-12
(12/(-105))/(4/5*2/(-8))
4/7
What is (-2)/(-36)*(-108)/(-27)?
2/9
What is the value of (-3)/(-16*(-8)/128)*-4?
12
What is the value of (23940/(-40))/(-21)*4/(-6)?
-19
Calculate 17/68*(-10)/(-95)*4.
2/19
What is the value of 6*-14*(-6)/(-3276)?
-2/13
Calculate -3*2442/148*(-4)/(-9).
-22
-7*3/84*60
-15
Calculate (66/(-176))/((-27)/6).
1/12
Evaluate ((-18)/4)/(924/616).
-3
What is the value of -8*(-54)/120*5?
18
(2*11/(-66))/(((-5)/(-4))/5)
-4/3
What is ((-43)/((-387)/18))/(1/(-5))?
-10
What is ((-2)/1)/(-1*-4*(-4)/48)?
6
What is the value of (((-40)/(-7))/4)/((-8)/336*6)?
-10
Evaluate (-42)/154*1/(-3).
1/11
7224/(-2838)*(-33)/6
14
Calculate (-4)/26*(672/(-42))/(-16).
-2/13
Calculate -4*((-6)/(-57))/(420/399).
-2/5
Evaluate (159/265)/((-21)/15).
-3/7
Calculate ((-4)/((-8)/(-2)))/(2/(-6)).
3
What is the value of (270/(-1800))/((-2)/8)?
3/5
What is (-3)/3*1*(-17)/((-136)/72)?
-9
What is (-46)/23*-4*(-7)/(-616)?
1/11
What is (299/207*3)/((-2)/(-6))?
13
53/(530/(-60))*-2
12
What is the value of (-30)/(-75)*8/(256/(-60))?
-3/4
What is 6*20/(-8)*69/69?
-15
Calculate ((-16)/(-432)*6)/(-2).
-1/9
(9850/41370)/(5/(-12))
-4/7
Calculate 126/63*1/(4/26).
13
What is the value of (20808/(-4046))/(9/42)?
-24
(1*2/(-6))/(153/16983)
-37
(1/(119*(-2)/(-4)))/(216/756)
1/17
What is the value of (-20)/(-5)*(-4)/(-22)*(-165)/(-60)?
2
What is the value of (1/(10/30))/(6*5/170)?
17
2536/634*((-6)/16)/((-9)/138)
23
Evaluate (-3)/((-312)/20)*(-8)/40.
-1/26
((-275)/(-150))/(33/9)
1/2
Evaluate (-6*9/6)/(6/6).
-9
What is 16*(108/(-6))/(-18)?
16
What is (15*-10*13/(-1625))/((-3)/20)?
-8
-4*(-24)/(-12)*-1
8
What is the value of (9/(-36))/((-2)/(-20))*(-204)/(-102)?
-5
Evaluate (4/(-660)*-25)/(5/(-18)).
-6/11
What is the value of ((-270)/50)/27*1?
-1/5
((-3)/32)/((-1017)/452)
1/24
Evaluate (65/((-130)/68))/2.
-17
Evaluate ((-8)/(-3))/(6/(-5)*(-90)/(-810)).
-20
What is (-732)/(-244)*(-2)/(-7)?
6/7
What is ((-81)/(8505/700))/((-8)/(-6))?
-5
((-48)/(-52))/4*((-54)/9)/6
-3/13
Calculate (741/(-494))/((-9)/(-270)*(-9)/4).
20
Calculate (255/15)/476*(-7)/(-2).
1/8
What is -15*(-480)/2520*21/30?
2
Evaluate (1449/621)/((6/2)/18).
14
What is (-13)/((-195)/20)*1*(-63)/4?
-21
What | {
"pile_set_name": "DM Mathematics"
} |
4. Suppose -196*t = -193*t - v. Round t to the nearest ten thousand.
730000
Let z = 30898.9999938116 + -30899. What is z rounded to 7 dps?
-0.0000062
Let y = 2.4 - 2.426. Let o = 0.994 - y. Let i = 1.02000292 - o. Round i to seven decimal places.
0.0000029
Let k = -61.21 + 61.21000017525. What is k rounded to seven dps?
0.0000002
Let q = 9.95 + -1.25. Let y = -166.08 + 175. Let z = y - q. What is z rounded to one dp?
0.2
Suppose 156*v - 161*v = 25, 3*s + 19112 = -4*v. What is s rounded to the nearest 100?
-6400
Let l(q) = -358*q**3 - 4*q**2 + 30*q - 20. Let k be l(4). What is k rounded to the nearest one hundred?
-22900
Let r be (-4 + 1 - -15) + 3/3. Let g(l) = -l**3 + 14*l**2 - 14*l + 13. Let x be g(r). Let o be ((3 - x) + 0)*8350/15. Round o to the nearest 100.
1700
Let t = 0.5 + -0.37. Let l = 0.1 - t. Let g = l + 0.02985. Round g to five dps.
-0.00015
Let d = 8468 - 8467.1745. Round d to 2 dps.
0.83
Let q = 8177.34 + -8112. Let z = q - 77. Round z to zero decimal places.
-12
Let f(b) = -6*b - 38. Let a(x) = x**2 + 9*x + 1. Let o be a(-8). Let u be f(o). Suppose -5*t + u = k - 20, 3*t = 2*k + 17. Round t to the nearest integer.
5
Let d = 47893.6 - 40566. Round d to the nearest 1000.
7000
Suppose 0 = -7*x + 31*x - 1127424000. What is x rounded to the nearest one hundred thousand?
47000000
Let i = -4196.99999689 + 4197. Round i to 5 decimal places.
0
Let u(f) = -13 + 8 - 6 - 10167502*f + 19. Let i be u(4). What is i rounded to the nearest 1000000?
-41000000
Let b = 26970 - 26970.67071. What is b rounded to 1 decimal place?
-0.7
Let g = 3043 + 6571. Let x = g - 27974. Round x to the nearest one thousand.
-18000
Let h = -2.2 + 2.097. Let g = 0.01422 + -0.01122. Let j = h - g. Round j to two decimal places.
-0.11
Let d(n) = -n**2 + 3*n + 12. Let a be d(5). Suppose 0*m - a*m + k - 63 = 0, 0 = m + k + 39. Let p be (m/3)/(6/9). What is p rounded to the nearest 10?
-20
Suppose -134*x + 385856900 = -13*x. What is x rounded to the nearest ten thousand?
3190000
Suppose 12*b + 230 = 17*b. Let a = -55 + b. Let y be -2 + -1217 - a/(-9). What is y rounded to the nearest one hundred?
-1200
Let c = -475 + 880. Let h = 404.99636 - c. What is h rounded to 3 decimal places?
-0.004
Let o = 1.5332 - 1.5331969061. Round o to 6 dps.
0.000003
Let u = -60427 - -60427.000028891. What is u rounded to six decimal places?
0.000029
Let a = -26993 + 8585. Let t = 18409.8013 + a. Let s = -1.8 + t. Round s to 3 dps.
0.001
Let s = -160 + 166. Suppose 0 = s*h - 210954 - 242046. Round h to the nearest ten thousand.
80000
Let h = -3209346.721 + 3208058.720431. Let i = h + 1288. Round i to four decimal places.
-0.0006
Let w(d) = -15*d - 20. Let p be w(-10). Suppose -14*f = -4*f - p. Suppose -f*m + 4800000 = -8*m. What is m rounded to the nearest 100000?
1000000
Let z = 85.24 - -0.96. Let d = z + -64. Round d to zero decimal places.
22
Let c = 34.987 - -0.013. Let k = -36778483 + 36778447.9999522. Let p = c + k. What is p rounded to 6 dps?
-0.000048
Let k = 0.789 - 420.789. Let j = 420.0594 + k. What is j rounded to three dps?
0.059
Let n = 308.209 + -308. Let d = 0.21716 - n. Round d to four decimal places.
0.0082
Let l(k) = -5*k - 11. Let v be l(-16). Suppose 60 = 6*w - 2*w - h, 0 = 4*w - 4*h - 72. Let p = v - w. What is p rounded to the nearest 10?
60
Let w = -0.9561 - -0.9531604. What is w rounded to four decimal places?
-0.0029
Let n(u) = -1566*u - 3. Let y = -62 - -55. Let q be n(y). Let f = q + -19759. What is f rounded to the nearest one thousand?
-9000
Let d = 10.5 + -10.5194. Let h = -0.01354 - d. What is h rounded to 3 decimal places?
0.006
Let k = -375 - -353.664. Let g = k + 0.136. What is g rounded to the nearest ten?
-20
Let l = 8563.99932408 + -8564. Round l to four dps.
-0.0007
Let p = -235653.9 - -260446. Let q = p - 23790. Let d = -958 + q. Round d to zero decimal places.
44
Let h = 34.76 - -791.3. What is h rounded to the nearest 100?
800
Let m = 117 - 111. Let r be ((-419)/2)/(1*m/(-12)). Suppose 0 = 3*f + 2*i - 359, -4*f = -5*i - r - 75. What is f rounded to the nearest 10?
120
Let l = 26372.2 - 26813.977. Let j = -437 - l. Round j to one decimal place.
4.8
Let j = -866232845 - -866232928.0000898. Let c = j + -83. What is c rounded to 5 decimal places?
0.00009
Let x = -207138.32967 + 207137. Round x to 2 decimal places.
-1.33
Let y = 46543.2 + -46484.4326. Let l = y + -58.9. What is l rounded to 2 dps?
-0.13
Let a(t) = -t**2 + t + 1. Let i(w) = 2*w**3 + 26*w**2 + 32*w - 52. Let u(b) = -2*a(b) - i(b). Let q be u(-25). Round q to the nearest 100.
17200
Let t be ((-2 - -32) + -4)/(1 + 1). Suppose q + 5*p = t, -q + 2*p = -4 + 12. Let i be 921*q*3/(-18). Round i to the nearest 100.
300
Let h = 0.0912 + 0.0438. Let i = -152.7 + 152.5342. Let y = h + i. Round y to 3 dps.
-0.031
Let n = 1.0230998 - 0.0228718. Let y = n + -1. Round y to five dps.
0.00023
Let l = 417330979 - 189490979. What is l rounded to the nearest 1000000?
228000000
Let x = -5819 - -5819.0000531. Round x to 5 decimal places.
0.00005
Let f = 868.6 + -776.6. Let u = 553.076 - 645.0898. Let o = u + f. What is o rounded to 3 decimal places?
-0.014
Let o = 8665.9999939944 + -8666. What is o rounded to 6 decimal places?
-0.000006
Let w = -65763 + 65765.6861. What is w rounded to 2 dps?
2.69
Let z = -15677.96 - -15689. Round z to the nearest integer.
11
Suppose -41*y + 17905615 = -45*y - 3*s, 5*y + s + 22382005 = 0. Round y to the nearest 100000.
-4500000
Let s = -7909 + 7908.9986588. What is s rounded to 4 dps?
-0.0013
Let a = 16340 - 16339.9987613. What is a rounded to five dps?
0.00124
Let a = 2260 - 3097.8. Let i = -683 - a. Round i to the nearest 10.
150
Let z be 4166/12 + 5/(-30). Let t be -3 + 25/9 - (-1746750)/54. Let y = z - t. Round y to the nearest ten thousand.
-30000
Suppose -7*c + 17737 = -2*a - 2*c, 6*a + 2*c = -53262. Round a to the nearest 100.
-8900
Let o = -7461422997.00000644 - -7461422764. Let p = o - -233. What is p rounded to six dps?
-0.000006
Let w(m) = -1090*m**3 - 21*m**2 + 24*m. Let s(z) = -545*z**3 - 10*z**2 + 12*z. Let x(r) = 7*s(r) - 3*w(r). Let h be x(6). Round h to the nearest ten thousand.
-120000
Suppose 4*v = -5*n - 16, 4*v + 0 = -4*n - 12. Let c be -3 - (-5817)/2 - v/(-2). Let m = c - 12106. What is m rounded to the nearest 1000?
-9000
Let m = -1470405.5599859 + 1470406. Let q = 8 + -7.56. Let r = m - q. What is r rounded to 6 decimal places?
0.000014
Let y = -1117.6027965 + 1117.6. Round y to 5 decimal places.
-0.0028
Let g = 46.8 - 728.8. Let z = g + 682.0027. Round z to four decimal places.
0.0027
Let q = -1.24135 + -0.11865. Let p = -76.44 + 75. Let a = p - q. What is a rounded to one dp?
-0.1
Let n = -187903.674 + 188073. Let c = 552 + -383. Let m = c - n. Round m to 2 dps.
-0.33
Let g = 0.085669 - 340.157669. Let b = 341 + g. What is b rounded to 1 decimal place?
0.9
Let n = -69.6 + 66. Let f = n - -3.59999968. Round f to seven dps.
-0.0000003
Let z(s) = 126*s**3 + 9*s**2 + 89*s + 150. Let o be z(23). Round o to the nearest 1000000.
2000000
Let r = 0.53682 - -23.70418. Let i = 24.4 - r. What is i rounded to two decimal places?
0.16
Let i(n) = 1422*n**3 + 2*n. Let f be i(3). Let v be ((-30)/(-9))/(0 + (-2)/f). What is v rounded to the nearest ten thousand?
-60000
Let t = 1 + 15. Let l(m) = -m**2 - 15*m + 1. Let j be l(-5). Suppose -t*n + j = -237. Round n to the nearest ten.
20
Let c = -153.311 - -177.3164. Let k = 34.6 + -10.6. Let y = k - c. Round y to three decimal places.
-0.005
Let a = -33617 - -60026. Let g(m) = 3*m**2 + a*m**3 + 25073*m**3 - 2 + 53*m - 49*m + 1. Let h be g(-3). Round h to the nearest 100000.
-1400000
Suppose -2*r = 34*u - 39*u + 12, -r = -u + 3. Suppose t - 5*q + 8020 = 0, -18841 = u*t + q - 2823. What is t rounded to the nearest one hundred?
-8000
Let a = -346 + 314.7. Let b = 31.3000424 + a. What is b rounded to 5 decimal places?
0.00004
Let m be -1 + (2 - -1)/(1 + 0). Suppose m*b - 8*b = -30. Suppose -4*y = -b*y - 9500. Round y to the nearest one thousand.
-10000
Let y = 28710182 + -41102182. What is y rounded to the nearest 1000000?
-12000000
Let s = -19.974255 - -19.929. Round s to 4 dps.
-0.0453
Let s(d) = 13895*d**2. Let v(y) = 13894*y**2 - y + 1. Let k(b) = 6*s(b) - 5*v(b). Let r be k(21). Round r to the nearest 100000.
6100000 | {
"pile_set_name": "DM Mathematics"
} |
qrt(7) + sqrt(7) + -1 + sqrt(7) + 4)*-2*-1.
-6*sqrt(7) - 6
Simplify 1 + ((sqrt(88) + sqrt(88) + sqrt(88)*-3 + sqrt(88) + sqrt(88) + sqrt(88))*-3)/(-3*sqrt(288)).
1 + sqrt(11)/3
Simplify 5 + 3*(-3*sqrt(300) + sqrt(300) - (sqrt(3) + sqrt(2700))).
-153*sqrt(3) + 5
Simplify (sqrt(51)/(sqrt(363) + sqrt(363)*-1 - sqrt(363)) + -3 + sqrt(17) + -1 + 3)**2.
-20*sqrt(17)/11 + 1821/121
Simplify ((sqrt(33)*1*-5 - sqrt(33))/(5*(sqrt(3) + sqrt(9)/sqrt(3) + sqrt(3)))*1)**2*-3.
-132/25
Simplify (sqrt(84) + -3*sqrt(84)*-5 + sqrt(84))/sqrt(12) - (sqrt(84)/(sqrt(24)/sqrt(50)))**2.
-175 + 17*sqrt(7)
Simplify (sqrt(10)/(5*sqrt(4)/sqrt(2)))**2 + ((-1 + sqrt(80))*6)**2.
-288*sqrt(5) + 14581/5
Simplify -5*((4*sqrt(20)/(sqrt(16)/sqrt(4)) - (sqrt(5) + sqrt(10)/sqrt(2) + 3 + -2)) + 5).
-10*sqrt(5) - 20
Simplify -4*(sqrt(80)*-6 - (sqrt(20)/sqrt(4))**2*6) + -3.
117 + 96*sqrt(5)
Simplify -2*((sqrt(1584) - (sqrt(1584) + 1))**2 + -4 - (3 + -1 + sqrt(1331))**2).
88*sqrt(11) + 2676
Simplify -2*(5*(2 + sqrt(432)) + sqrt(432) + (-1 + sqrt(432))*-1 + sqrt(432) + -5).
-144*sqrt(3) - 12
Simplify (5 + ((5 + sqrt(1700) + -2 - sqrt(1700)) + -3*sqrt(1700)*1)*4)**2.
-4080*sqrt(17) + 245089
Simplify (2 + 2*-1*sqrt(275) + 5)**2.
-140*sqrt(11) + 1149
Simplify -3 + sqrt(605) + 2 + sqrt(25)/sqrt(5)*5 + ((sqrt(225)/sqrt(5))/sqrt(9) + sqrt(60)/sqrt(3))**2.
16*sqrt(5) + 44
Simplify ((sqrt(468) + 2)*-2)**2 + 4 + (-4*(5 + 1 + sqrt(468)))**2.
1248*sqrt(13) + 9956
Simplify ((sqrt(4400) + -1)*-5 + sqrt(132)/(sqrt(3) + ((sqrt(21)*-2)/sqrt(7) - sqrt(3))))**2.
-1010*sqrt(11) + 112236
Simplify ((4*sqrt(54))/sqrt(3))/(sqrt(24)/sqrt(4)*2).
2*sqrt(3)
Simplify (-2 + sqrt(1700) - sqrt(1700))**2*5 - ((-2*sqrt(136))/sqrt(8) + -4)**2.
-16*sqrt(17) - 64
Simplify ((sqrt(3) + -1*sqrt(3))*-1 + sqrt(3) - (1*sqrt(3) + 0)) + 5 + -4.
1
Simplify ((-1*sqrt(108)*3)/(sqrt(9)*-2*5*3))**2.
3/25
Simplify ((-5*sqrt(448))/sqrt(8))/(sqrt(16)/(sqrt(2)*-2)).
10*sqrt(7)
Simplify (5*3*sqrt(80) - ((sqrt(240)*-2)/sqrt(6))/sqrt(8))**2.
19220
Simplify -1 + (-4*((sqrt(1539) - (-1 + sqrt(1539))) + 2 - sqrt(1539) - sqrt(1539)) + 3)**2.
-1296*sqrt(19) + 98576
Simplify (2*(1 + sqrt(931)))**2 - sqrt(95)/(sqrt(5) + sqrt(90)/sqrt(2)).
223*sqrt(19)/4 + 3728
Simplify (4 + (1*sqrt(425) - sqrt(425) - sqrt(68)/(sqrt(12)/sqrt(3))) - ((sqrt(102)*-2)/sqrt(6) - sqrt(85)/(-2*sqrt(5))))**2.
4*sqrt(17) + 81/4
Simplify (-3 + (-1*-1*sqrt(1539) + sqrt(1539))*-5*-5)**2.
-2700*sqrt(19) + 3847509
Simplify ((-3 + sqrt(243) + 0)**2 - (-1 + 2*sqrt(243))) + 4.
-72*sqrt(3) + 257
Simplify (3 + (-1 + sqrt(1872) - sqrt(1872)) + -4 + (3 + 2 + sqrt(1872))*2)**2*-1.
-7552 - 384*sqrt(13)
Simplify (6*(sqrt(91) + (sqrt(91) - (sqrt(91) + sqrt(91)*4))))/(sqrt(56)/(sqrt(56)/sqrt(7))).
-18*sqrt(13)
Simplify (-4*sqrt(1008) + 3 + -3)*-3*5.
720*sqrt(7)
Simplify ((2*sqrt(198))/sqrt(11))/(-4*sqrt(27)/sqrt(3)).
-sqrt(2)/2
Simplify (sqrt(110) - (sqrt(110) + 5*sqrt(110))*-1)/(1*sqrt(160)).
7*sqrt(11)/4
Simplify (sqrt(192) - (sqrt(192) + 1)**2) + -2 - (((sqrt(54) + sqrt(54)*2)/sqrt(9))/(sqrt(2) + sqrt(20)/sqrt(40)))**2.
-207 - 8*sqrt(3)
Simplify (1 + 0 + (sqrt(3) - (4*sqrt(3) - sqrt(3))*2) + -3)**2.
20*sqrt(3) + 79
Simplify -1*(-6*sqrt(351)/sqrt(3) + (sqrt(13) - (sqrt(208) + sqrt(13) + -1))**2*-1).
10*sqrt(13) + 209
Simplify (sqrt(130)*2*-3 + sqrt(130) + (sqrt(130) - (sqrt(130) + 4*(2*sqrt(130) + sqrt(130) + sqrt(130)))))/(((sqrt(60) - sqrt(960))*-4)/sqrt(6)).
-7*sqrt(13)/4
Simplify 5 + (sqrt(2299)*2*-6 - (sqrt(2299)*4 + -2)**2)*-6.
-264*sqrt(19) + 220733
Simplify -1 + sqrt(28) + 0 - ((sqrt(490) + sqrt(490)*-1)/sqrt(10))/sqrt(7).
-1 + 2*sqrt(7)
Simplify (1*((sqrt(637) - (0 + sqrt(637) + 0))*-4 - (sqrt(637) + (sqrt(637) - (sqrt(637) + sqrt(637) + (sqrt(637) - (sqrt(637) + -1))*-5) - sqrt(637)))*-2))**2.
-280*sqrt(13) + 2648
Simplify (3 + (((sqrt(153) + 0)*3)**2 - (sqrt(153) + ((sqrt(153)*-4)**2 - sqrt(153)))*-6))*-3.
-48204
Simplify (-4*(1 + sqrt(162) + 1) + 4 + -6*(sqrt(162) - 2*sqrt(162)))**2.
-144*sqrt(2) + 664
Simplify -4*(-3 + sqrt(720) - sqrt(5)) - (2*2*sqrt(5) + 2*(sqrt(5) - (sqrt(5) + -2)))**2.
-76*sqrt(5) - 84
Simplify ((sqrt(1400)*-2*-1)/(1*sqrt(7)*6 + 5*sqrt(14)/sqrt(2)))**2.
800/121
Simplify -4*-1*(((sqrt(275) - -2*sqrt(275))/sqrt(5))/sqrt(5) + (sqrt(1100) - (sqrt(1100) + 0 + sqrt(1100)))*-6).
252*sqrt(11)
Simplify (sqrt(320)*3 - (2 + 3*sqrt(5)) - (-2*(sqrt(5) + 2) - sqrt(60)/sqrt(432)))**2.
278*sqrt(5)/3 + 96749/36
Simplify 3*(((sqrt(104) - -2*sqrt(104))*-4)/(-5*sqrt(32)))**2*-5*1.
-1404/5
Simplify ((1*sqrt(833)*1 - 3*(sqrt(833) + (sqrt(833) - (sqrt(833) - sqrt(833)*-3)) + sqrt(833)))*-2 + -3)**2.
336*sqrt(17) + 53321
Simplify (-1*sqrt(792) + 6*sqrt(66)/sqrt(3))/((-3*(sqrt(24) + sqrt(96)) - sqrt(24))/sqrt(12)).
0
Simplify (1*(sqrt(1536) - -1*sqrt(1536)))/(-2*-2*sqrt(8)*-5).
-4*sqrt(3)/5
Simplify 2*(3*sqrt(76)/sqrt(4) + sqrt(19)) - ((sqrt(19) - (-1 + sqrt(19))**2*1) + (-2*sqrt(209))/sqrt(11)).
20 + 7*sqrt(19)
Simplify 4 + (sqrt(4)/sqrt(450) - (sqrt(128)*2 + sqrt(8)))**2.
145622/225
Simplify (-3 + 5 + -2*((-1*sqrt(112) - sqrt(112))**2 + sqrt(112)))*-2*2.
32*sqrt(7) + 3576
Simplify (sqrt(49) + sqrt(441)*2 + sqrt(441) - sqrt(49))/(1*sqrt(28)/sqrt(4)) - (sqrt(175)*-1 + sqrt(7) + -1 + sqrt(7) + 5 + -2)**2.
-67 + 21*sqrt(7)
Simplify (-4*sqrt(864))/(sqrt(300) + sqrt(300)*1).
-12*sqrt(2)/5
Simplify (sqrt(13) - (0 + sqrt(1300)))**2 + -3 - ((sqrt(832)*-2)**2 + 5*(sqrt(13) + -1)**2).
-2348 + 10*sqrt(13)
Simplify sqrt(1331)*2 + -2 - (3 + 3*sqrt(396)).
-5 + 4*sqrt(11)
Simplify 4*((sqrt(612) - (-1 + sqrt(612) + -1 + sqrt(612)) - (-3 + 2 + sqrt(612)))*-2)**2*3.
-3456*sqrt(17) + 117936
Simplify 5 + (sqrt(228)*2*6)/(sqrt(12) + 3*sqrt(192)).
12*sqrt(19)/13 + 5
Simplify (3*(sqrt(119) - -6*(sqrt(119) + sqrt(119) + sqrt(119)*2 - sqrt(119))))/(sqrt(84)/sqrt(48) + (sqrt(70) + 1*sqrt(70))/sqrt(10)).
114*sqrt(17)/5
Simplify (-5*sqrt(513))/(sqrt(3) + sqrt(9)/sqrt(3)*-3) + 5.
5 + 15*sqrt(19)/2
Simplify (3*(sqrt(117) + (sqrt(117)*1 - sqrt(117))) + sqrt(117) + 6*(1*sqrt(117) - sqrt(117)))/(sqrt(225) + -4*((1*sqrt(225) - sqrt(225)) + sqrt(225))).
-4*sqrt(13)/15
Simplify (3*((sqrt(405) - (0 + sqrt(405))) + sqrt(405)))**2*-4 - (sqrt(40)*-1)/(sqrt(22)/sqrt(44) + sqrt(2)).
-14580 + 4*sqrt(5)/3
Simplify (2 + -1 + sqrt(75)*2 + sqrt(75) + (sqrt(75) - -6*(sqrt(75) + 1))*-5)**2 + 0.
9280*sqrt(3) + 77641
Simplify ((sqrt(133)*1)/sqrt(7)*6 + 3)*-5.
-30*sqrt(19) - 15
Simplify (5*2*sqrt(1134))/(sqrt(175) + (sqrt(175)*-2 - sqrt(175)) + sqrt(1008)*1 + sqrt(1008)).
45*sqrt(2)/7
Simplify (-3 + (-3 + (sqrt(1088) - -2*sqrt(1088))*4)*-1)**2.
156672
Simplify -3*(-4*sqrt(108)*2*-3 - (-1*1*sqrt(108) - ((sqrt(108) - (sqrt(108) + sqrt(108) + sqrt(108) + 1)) + sqrt(108) + 0)**2)).
-486*sqrt(3) - 327
Simplify 1*(1 + -1*sqrt(147)*3 + 5*(sqrt(147) - (sqrt(147) + 0 - sqrt(147))) + 1)**2.
56*sqrt(3) + 592
Simplify (-4 + sqrt(128)*-4 - (sqrt(24)/(sqrt(12) - -1*sqrt(12)) + sqrt(8)*6))**2.
356*sqrt(2) + 7953/2
Simplify 6*(-1 + sqrt(7)) + 2 - ((sqrt(84)/sqrt(192))**2 + -3).
-23/16 + 6*sqrt(7)
Simplify (sqrt(3888) - (sqrt(3888) + 2)**2) + ((sqrt(144) + (sqrt(144) + -4*sqrt(144) - sqrt(144)))/sqrt(3) - sqrt(48)).
-3892 - 124*sqrt(3)
Simplify (((sqrt(126)/sqrt(3))/sqrt(7) - (sqrt(6) - (sqrt(294) - (-1*sqrt(294) + sqrt(294)))))/(sqrt(108) - sqrt(108)*-2 - (sqrt(192) + 1*sqrt(192)))*-2)**2.
98
Simplify (-5 + 2*sqrt(20)/sqrt(4) + 5 + (sqrt(60) - sqrt(540))/(sqrt(3) - (sqrt(6)/(sqrt(8)/sqrt(4) + sqrt(2)) + sqrt(3))))**2.
500
Simplify (-3 + (sqrt(363) + sqrt(363) + -2)*-3*4)**2.
-11088*sqrt(3) + 209529
Simplify (sqrt(10) + sqrt(60)/sqrt(6)*-4)/((sqrt(96)/sqrt(6))/sqrt(8)).
-3*sqrt(5)
Simplify ((sqrt(13) - (sqrt(325) + 2))*-2)**2 + (sqrt(13) + -1)**2 + sqrt(13) + 4 + sqrt(52)/sqrt(4) + -1.
64*sqrt(13) + 865
Simplify -4 + 1*(1 + sqrt(1539) + (-1*sqrt(1539) - sqrt(1539)) + -1 + sqrt(1539) + -1 + sqrt(1539) + 4)**2.
54*sqrt(19) + 1544
Simplify ((sqrt(700) + sqrt(700) + sqrt(700) + 1 + 3 - sqrt(700) - sqrt(700) - (2*sqrt(700) + 3)) + 0 + sqrt(700) + -4 + 1 + sqrt(700))**2.
-40*sqrt(7) + 704
Simplify (5*(((sqrt(125) + -3)*-1 - sqrt(125)) + (-1 + sqrt(125))*-2))**2.
-5000*sqrt(5) + 50625
Simplify (-2 + (-1 + sqrt(1100) + sqrt(1100))*-3)**2 + (sqrt(1100) + 1 + -5 + 1 + sqrt(1100) + -3)**2.
-360*sqrt(11) + 44037
Simplify (sqrt(490) - (sqrt(490) + (sqrt(49 | {
"pile_set_name": "DM Mathematics"
} |
2)/40 - 6/(-5 + -1) and (-87)/(-20) - (-3)/6.
20
Let x be (-1)/(-2)*(-2)/(-1). Calculate the common denominator of ((-252)/10)/2 + 2 and -2*x - 189/12.
20
Let p be -1*(-2 + 0/(-1)). Suppose 0*g - p*g = -40. Calculate the common denominator of -143/6 and 1 - -2*(-34)/g.
30
Let x = -33759/8 + 4211. Let g = 38701/9 + -4308. What is the common denominator of x and g?
72
Suppose -8 = m - 3*m. Calculate the least common multiple of m*22*1/4 and 2.
22
Let o(i) = -i**2 - 13*i. What is the least common multiple of o(-8) and 8?
40
Let p = -5 + 13. Let v(d) = d**3 + 5*d**2 + 4*d + 6. Calculate the lowest common multiple of p and v(-2).
40
Let p = -1607/3 - -541. Let t = -197 + 303. What is the common denominator of p and (t/8)/((-5)/4)?
15
Let b = 121553/49260 + -3/3284. Find the common denominator of -73/6 and b.
30
What is the common denominator of (-497)/30 - (81/(-15) - -5) and -49/6?
6
Find the common denominator of -35/8 and 4/(-6) + 2303/336.
16
Let q(m) = 2*m**2 - 14*m - 3. Calculate the smallest common multiple of 1 and q(8).
13
Let j be (6/4)/((-4)/8). Find the common denominator of (-111)/j*(-3)/(-24) and -73/12.
24
Let q = 15266/3705 + 102/247. Find the common denominator of q and 59/6.
30
Suppose 2*q = 4*q - 14. What is the common denominator of 7/q + (-89)/2 and 75/8?
8
Let m = -22 - -15. Let h = m + 18. Suppose 4*k - 10 = 2. What is the smallest common multiple of k and h?
33
Let l be 1 - (1 + (-20)/298). Let n = l - -5433/1192. Calculate the common denominator of n and -16/7.
56
Suppose -3*c - 7*k = -3*k - 10, -k = 3*c - 7. What is the lowest common multiple of c and 6?
6
Let i be (-6158)/468 + (-3)/(-6). Let k = 101/13 + i. Let m = 44 - 83. What is the common denominator of m and k?
9
Suppose 5*g + 3*z - 4*z = -555, 0 = -z + 5. What is the common denominator of ((-178)/(-4))/(7/(21/(-27))) and 119/g + 6/15?
198
Find the common denominator of 67/55 and (46/(-3))/(80/(-24)).
55
Suppose 7*g = 11*g - 72. Calculate the lowest common multiple of g and 22.
198
Let p = -85015/18 + 4717. What is the common denominator of p and 57/20?
180
Suppose h = -2*h - 33399. Let l = -133519/12 - h. Calculate the common denominator of l and -117/14.
84
Let t(x) = -14*x - 6. Let v(b) = 9*b + 4. Suppose 3*c + 3 + 12 = 0. Let y(m) = c*t(m) - 8*v(m). Calculate the lowest common multiple of 2 and y(-5).
8
Let y(c) be the first derivative of -c**3/3 + 9*c**2/2 - 2*c + 2. Suppose -4*u + 21 = -43. Calculate the smallest common multiple of u and y(6).
16
Suppose 0 = 4*s - 2*x - 3*x - 10, -4*s = x + 2. Suppose 2*i = 2*f + 36, s = f - 3*f + 2. Let p = 29 - 24. Calculate the smallest common multiple of i and p.
95
Suppose 0 = 4*j + 3*w - 87, 3*j - 2*w = 2*w + 34. What is the smallest common multiple of j and 2?
18
Let y(v) = -v. Let t(q) = -q**2 - 38*q + 2. Calculate the lowest common multiple of t(-38) and y(-1).
2
Suppose 2*j = -4*j + 84. What is the lowest common multiple of j and 14?
14
Suppose 88*h - 14 = 87*h. What is the least common multiple of 14 and h?
14
Suppose 2*s = 3*s - 11. Suppose 3*n = k + 2, 6 = -7*n + 6*n + 2*k. Suppose -g = -n*g + s. What is the least common multiple of g and 5?
55
Let i = 7/6 - -143/60. What is the common denominator of i and -65/8?
40
Let g = -8 - -4. Find the common denominator of g - -12 - (-2)/6 and -5/2.
6
Let a(k) = -k + 4. Let p be a(5). Calculate the common denominator of 109/14 and (-182)/40 - 2/p.
140
Let i = 20 - -30. Calculate the smallest common multiple of 8 and i.
200
Let u = -10 + 6. Calculate the smallest common multiple of (u/(-14))/(2/28) and 6.
12
Let f = -3/9463 + -974587/321742. Find the common denominator of -95/8 and f.
136
Let x = -1548942/83 + 18660. Let g = 12295/1494 + x. Find the common denominator of 9/2 and g.
18
Suppose 5*b - 8 - 47 = 0. What is the lowest common multiple of 4/22 + -9*(-3)/33 and b?
11
Let a(t) = -3*t - 1. Suppose -148 = q - 149. Calculate the smallest common multiple of a(-4) and q.
11
Let z = -8 - -6. What is the common denominator of 9/z*1/(-12) and -5/9?
72
Let f = 1 - -10. Let m(c) = -8*c + 1. Let y be m(-2). Let d = y + -7. Calculate the least common multiple of d and f.
110
Let l = 3734 - 33658/9. Find the common denominator of 81/2 and l.
18
Suppose -5*x + 5*f + 30 + 40 = 0, x = -f + 10. What is the lowest common multiple of x and 6?
12
Suppose -9 = 5*f + 4*h - 115, -4*h - 48 = -2*f. Find the common denominator of -7/8 and f.
8
Let y = -85 + 87. Suppose -5*k - 4*w = -78, 4*k - 97 = -5*w - 31. Calculate the smallest common multiple of y and k.
14
Suppose -2*r = 5*p - 15, -40 = -4*p - 0*r + 4*r. Suppose 4*l = -n + 9, -p*n - 5 + 28 = -2*l. Calculate the smallest common multiple of 10 and n.
10
Let x(c) = -c**2 + 5*c - 2. Let f be x(4). Suppose 3*v + 19 = -2*h, 4*h - 2*h = -f*v - 24. Let q = h + 27. What is the smallest common multiple of q and 16?
80
Let d = -422/3 + 142. What is the common denominator of 0 + (-66)/20 + 0 and d?
30
Let o(z) = -2*z**3 - 6*z**2 + z - 7. Let a be o(-5). Suppose -4*n + a = -0*n. Let i(u) = u**2 + 14*u - 29. What is the least common multiple of i(-17) and n?
22
Let d(o) = -o + 8. Let r be d(6). Suppose 20 = -5*v, v - 4 = 4*g - 32. What is the smallest common multiple of (0 - r) + 25 + -1 and g?
66
Let v = 92926/215 + -2162/5. Find the common denominator of v and -24/7.
301
Suppose -3 = -i + 3. Let x(b) = 2*b**3 + 2*b**2 - 3*b - 2. Let t be x(-2). Calculate the lowest common multiple of i and 0 + t + 3 - -11.
30
Let w = -24 + 46. Let z = 19 + -1. What is the least common multiple of w and z?
198
Suppose -2*q + 19 + 67 = 5*k, -2*k + 4 = 0. Suppose 3*c - q + 5 = 0. Let h = 10 + -5. What is the smallest common multiple of h and c?
55
What is the common denominator of (21/(-10))/(64/60) and -1/8?
32
Let t(m) = 2*m**2 - 7*m + 6. What is the smallest common multiple of 8 and t(4)?
40
Let p = 68 - 35. Let k = 470 - 5117/11. Find the common denominator of k and p.
11
Let n be 1/30*(-33079)/135. Let u be (-16196)/4050 - (-2 - 2). Let p = n + u. What is the common denominator of -5/12 and p?
12
Let p = -7 - -9. Calculate the smallest common multiple of (3/2 + -1)*p and 2.
2
Find the common denominator of 83/6 and (166/(-10))/(12/10).
6
Let t(x) = -x**3 - 20*x**2 - 22*x - 18. What is the smallest common multiple of t(-19) and 18?
234
Let d(w) = 3*w**2 - 3*w - 2. Suppose -3*a = 3*u - 45, -u + a + 3*a = -30. What is the lowest common multiple of d(-2) and u?
144
Let w(c) = -13*c**3 + 4*c**2 + 3*c + 4. Let u(j) = -12*j**3 + 3*j**2 + 2*j + 3. Let r(b) = 5*u(b) - 4*w(b). What is the least common multiple of r(-1) and 5?
40
Let r = 1/659 - 21097/5931. What is the common denominator of r and (3/2)/((-6)/190)?
18
Let i = -28 + 39. Calculate the least common multiple of 9 and i.
99
Let p = -8241/10 - -825. Calculate the common denominator of p and 103/28.
140
Let g(b) = -b**3 + 5*b**2 - 3*b + 1. Let z be g(3). Let s be (6239*1)/(z/2). Let r = s - 1258. What is the common denominator of -58/5 and r?
5
Suppose -6 + 16 = f. What is the smallest common multiple of 7 and f?
70
Let g be (-8112)/(-21) + 6/(-21). Let l = -215 + g. What is the common denominator of -103/18 and 14/(-21)*l/16?
72
Suppose -3 = -3*g + 33. Suppose 4 = 4*f + 4*s, 2*s + s = 3*f - 21. What is the smallest common multiple of ((-8)/10)/(g/(-90)) and f?
12
What is the common denominator of 45/(-175)*130/4 and 85/6?
42
Let g = -16333 + 7431532/455. Let c = g - 55361/8190. Find the common denominator of -29/16 and c.
144
Let u = 36 - 34. Calculate the lowest common multiple of u and 9.
18
Suppose -4*h + 6*h - 66 = 0. Calculate the smallest common multiple of 12 and h.
132
Calculate the common denominator of 36/45*(-40)/3 and 1 - (-2)/(-7) - -1.
21
Let g(p) = -9*p**3 + 1. Calculate the smallest common multiple of g(-1) and ((-3)/9)/((-2)/54).
90
Suppose 13*q - 12*q - 2 = 0. What is the least common multiple of 108 and q?
108
Let i = -6 - -16. Suppose -h = 4*v - i, -4*v + 0*h + 6 = 3*h. Let m(a) = a - 2. What is the smallest common multiple of m(v) and 1?
1
Suppose -p = -1 - 4. Let k = 10 + -5. Calculate the least common multiple of p and k.
5
Calculate the lowest common multiple of 2 and 3 + 0 - -1 - -8.
12
Let q(c) = -4*c + 1 + 0 + 2. Let u(h) = 5*h - 2. Let n(t) = -3*q(t) - 2*u(t). What is the lowest comm | {
"pile_set_name": "DM Mathematics"
} |
86 a multiple of 234?
True
Does 485 divide 292451255?
False
Does 781 divide 292220731?
False
Is 88738030 a multiple of 5?
True
Is 621216 a multiple of 3?
True
Is 4473 a factor of 2054176047?
True
Is 1610 a factor of 100364180?
True
Does 959 divide 118899396?
False
Is 136 a factor of 109435972?
False
Does 953 divide 1198566956?
False
Is 140281263 a multiple of 33?
False
Is 11180691 a multiple of 3?
True
Does 8603 divide 5719425796?
False
Is 6240972 a multiple of 102?
True
Is 1561 a factor of 2024933883?
True
Does 9 divide 66742319?
False
Is 2 a factor of 31259179?
False
Is 56 a factor of 3603768?
True
Is 245555999 a multiple of 22?
False
Is 6400 a factor of 71462400?
True
Is 101654093 a multiple of 2?
False
Does 18 divide 80339598?
True
Is 417670110 a multiple of 1105?
True
Is 11805303 a multiple of 2960?
False
Does 1105 divide 11027974?
False
Is 1318497609 a multiple of 14421?
True
Does 362 divide 312893252?
True
Is 104 a factor of 1633617630?
False
Is 137 a factor of 62978626?
True
Does 34 divide 20434782?
True
Does 2277 divide 276670905?
False
Is 10 a factor of 138532330?
True
Does 13 divide 242726328?
True
Does 351 divide 876761847?
True
Is 225 a factor of 552876525?
True
Is 6 a factor of 425841983?
False
Is 5168246 a multiple of 227?
False
Does 2115 divide 1066598730?
True
Does 633 divide 6011857998?
True
Does 2197 divide 285287041?
True
Is 751518791 a multiple of 13?
False
Does 117 divide 4281625962?
False
Is 9 a factor of 198289881?
True
Is 116589706 a multiple of 91?
False
Is 178 a factor of 39449239?
False
Does 84 divide 11047932?
True
Does 1620 divide 130084380?
True
Is 20085156 a multiple of 84?
True
Is 61 a factor of 254615891?
True
Is 507278391 a multiple of 8?
False
Is 20 a factor of 58561930?
False
Is 294 a factor of 125701758?
True
Is 1310 a factor of 262449330?
True
Is 1245 a factor of 114525060?
True
Is 60 a factor of 316353868?
False
Is 135 a factor of 23155200?
True
Does 12 divide 168454692?
True
Does 9 divide 2743955?
False
Is 13 a factor of 551062239?
True
Does 516 divide 881909532?
True
Is 262592400 a multiple of 150?
True
Does 117 divide 821340?
True
Is 1203403465 a multiple of 10?
False
Does 341 divide 359596346?
False
Does 28 divide 22859823?
False
Is 2731529660 a multiple of 760?
False
Is 7 a factor of 88781142?
False
Is 18061072 a multiple of 68?
True
Is 20661006 a multiple of 6?
True
Is 610 a factor of 865109320?
True
Is 530 a factor of 157918800?
True
Is 41835749 a multiple of 2112?
False
Is 12 a factor of 608495460?
True
Is 1063654302 a multiple of 343?
False
Is 67 a factor of 880851171?
False
Is 1465283219 a multiple of 47?
False
Is 121 a factor of 115346821?
False
Does 241 divide 1150846095?
True
Is 23 a factor of 61988067?
False
Is 3019569 a multiple of 3?
True
Is 106201677 a multiple of 1153?
True
Is 844771716 a multiple of 159?
False
Is 271 a factor of 771466235?
False
Does 135 divide 22792185?
True
Is 34422882 a multiple of 5?
False
Is 643 a factor of 101559921?
True
Does 1819 divide 1663025661?
False
Does 63 divide 1026534638?
False
Does 13 divide 109812079?
True
Is 6 a factor of 27697518?
True
Is 335323637 a multiple of 13?
False
Is 4 a factor of 7180124?
True
Is 48 a factor of 69179980?
False
Is 7522 a factor of 1572481895?
False
Is 134645223 a multiple of 69?
False
Does 10 divide 149240324?
False
Is 58 a factor of 76250192?
False
Does 34 divide 2138150860?
True
Is 64458924 a multiple of 336?
False
Is 56 a factor of 1608911304?
True
Does 4631 divide 76040256?
False
Does 38 divide 65311389?
False
Is 140591400 a multiple of 5?
True
Does 29 divide 58545389?
False
Is 143 a factor of 66792132?
False
Is 104 a factor of 1568039?
False
Is 8 a factor of 656244460?
False
Is 164 a factor of 204570803?
False
Is 421694550 a multiple of 25?
True
Is 17 a factor of 11732734?
False
Is 8412844 a multiple of 7?
False
Does 1079 divide 12781144?
False
Is 287661037 a multiple of 2734?
False
Is 285312374 a multiple of 907?
False
Is 501961536 a multiple of 9?
True
Is 8877548 a multiple of 47?
True
Is 215003567 a multiple of 30?
False
Is 3366744 a multiple of 24?
True
Is 20 a factor of 13577220?
True
Does 12 divide 603985128?
True
Is 2528757 a multiple of 287?
True
Is 180 a factor of 190692443?
False
Is 664 a factor of 101372880?
True
Does 543 divide 41196177?
False
Is 420 a factor of 6945659?
False
Is 8722634 a multiple of 106?
True
Is 739 a factor of 35860694?
False
Is 519 a factor of 1025200941?
True
Does 1115 divide 2762827143?
False
Is 221356871 a multiple of 3?
False
Does 150 divide 1723260000?
True
Does 1353 divide 69372477?
False
Does 266 divide 142867163?
False
Is 49 a factor of 298015354?
True
Is 129 a factor of 19675077?
False
Is 146687101 a multiple of 17?
True
Does 120 divide 4851600?
True
Is 5 a factor of 27595101?
False
Does 249 divide 23619488?
False
Is 12994563 a multiple of 8?
False
Does 12 divide 2480744084?
False
Is 356494516 a multiple of 28?
True
Is 43811515 a multiple of 55?
True
Is 8 a factor of 23775056?
True
Is 2698092848 a multiple of 267?
False
Is 5445 a factor of 704212740?
True
Does 279 divide 167506462?
False
Does 1839 divide 93341626?
False
Is 84515076 a multiple of 81?
True
Is 80424276 a multiple of 1053?
False
Does 2429 divide 2524982062?
False
Is 676 a factor of 589888143?
False
Is 19214991 a multiple of 234?
False
Is 8365452 a multiple of 7?
False
Does 567 divide 30014145?
True
Is 696348321 a multiple of 37?
False
Is 962 a factor of 10777021?
False
Does 1587 divide 592953984?
True
Is 7011 a factor of 442169748?
True
Is 2787007536 a multiple of 16?
True
Is 68022412 a multiple of 1413?
False
Is 1713264846 a multiple of 361?
True
Is 255571951 a multiple of 193?
True
Is 102 a factor of 76757807?
False
Does 144 divide 139778552?
False
Does 3 divide 17961386?
False
Is 3148866 a multiple of 938?
True
Is 5 a factor of 332161922?
False
Is 72997240 a multiple of 8?
True
Does 1333 divide 248800451?
True
Does 13 divide 67289872?
True
Is 40039013 a multiple of 409?
False
Is 113327216 a multiple of 49?
False
Does 204 divide 42255744?
True
Is 23 a factor of 649066252?
False
Is 84 a factor of 8718360?
True
Does 55 divide 22409420?
True
Does 2351 divide 682206127?
True
Is 16118700 a multiple of 260?
True
Does 12 divide 616842727?
False
Does 1382 divide 3255309?
False
Does 1397 divide 21576665?
True
Does 14 divide 468110510?
True
Is 23 a factor of 220594322?
False
Is 1485990 a multiple of 1738?
True
Is 35936456 a multiple of 1400?
False
Does 142 divide 6697572?
True
Is 2853588 a multiple of 111?
True
Is 126 a factor of 730705?
False
Does 246 divide 165984019?
False
Does 3228 divide 83008020?
True
Is 1999 a factor of 44862454?
False
Is 1520736934 a multiple of 50?
False
Is 3987536074 a multiple of 11?
False
Is 640 a factor of 4549798045?
False
Is 27 a factor of 346216458?
False
Does 64 divide 4627500137?
False
Is 260807123 a multiple of 2?
False
Does 58 divide 509854858?
True
Is 1786595962 a multiple of 468?
False
Is 50583680 a multiple of 54?
False
Is 171 a factor of 202811472?
True
Does 33 divide 5737908?
True
Does 785 divide 182740994?
False
Is 577965760 a multiple of 7?
False
Is 15023670 a multiple of 1329?
False
Is 35 a factor of 1744951670?
True
Does 8 divide 43771820?
False
Is 141 a factor of 2291270586?
True
Is 226 a factor of 4596913?
False
Does 136 divide 57416626?
False
Is 7 a factor of 35489127?
False
Is 970 a factor of 400625520?
True
Does 240 divide 314492957?
False
Is 107916301 a multiple of 505?
False
Is 10434737 a multiple of 136?
False
Is 5502896 a multiple of 8?
True
Does 10 divide 285048388?
False
Does 3747 divide 218753607?
True
Is 27005705 a multiple of 2?
False
Is 342 a factor of 104314446?
True
Is 583 a factor of 91490190?
True
Does 58 divide 120766042?
False
Is 75633632 a multiple of 8?
True
Is 15772218 a multiple of 98?
True
Is 82 a factor of 410397372?
True
Is 17 a factor of 422715251?
True
Is 32585995 a multiple of 59?
True
Is 1361 a factor of 66241231?
True
Does 39 divide 88668628?
False
Is 110 a factor of 117587580?
True
Does 9 divide 216497502?
True
Is 216 a factor of 31608435?
False
Is 116618588 a multiple of 18?
False
Is 1631 a factor of 387300856?
False
Does 22 divide 481623494?
True
Is 9 a factor of 553202656?
False
Is 46382850 a multiple of 885?
True
Does 31 divide 7445214 | {
"pile_set_name": "DM Mathematics"
} |
e 0/1 + 3*3. Suppose 5*f = q, -5*q + 6*f - f = 0. Let p(b) = -b**3 - 2*b**2 + 10. Let d be p(q). Solve g*y - d = 4*y for y.
2
Suppose 88 = h + 3*h. Let j = -18 + h. Suppose -t + 3*o = 6, -j*t + 8*o - 3 = 3*o. Solve -t*f + 20 = -8*f for f.
-4
Let k(f) = 2*f**2 + 2*f + 1. Let t be k(-2). Solve -7*v = 3*v - t*v for v.
0
Suppose 3*k + 6*b = 11*b + 19, 2*k = 3*b + 12. Solve 0 = k*s - 77 + 68 for s.
3
Let n = 328 - 328. Solve -24 = -8*z - n*z for z.
3
Suppose w + 8 = 13. Solve -w*s + 21 = -12*s for s.
-3
Let y(w) be the first derivative of -w**4/4 - 16*w**3/3 + w**2/2 + 18*w + 9. Let d be y(-16). Suppose d*n - 7 - 1 = 0. Solve n*s = s + 15 for s.
5
Let c be (0/(6/(-2)))/((-2)/2). Suppose -2*g = -w - 3, w + c*g - 32 = -5*g. Solve -w*s - 12 = -3*s for s.
-3
Let z be 3/(-1) + 17/17 - -2. Solve 0 = 4*i - z + 8 for i.
-2
Let y(c) = c**2 - 10*c + 6. Let i be y(8). Let l = -10 - i. Solve 2*w + 0*w = l for w.
0
Let y be (8/(-20) - 34/(-60))*18. Solve 16 = 11*v - y*v for v.
2
Let l be (87/27 - (-10)/(-45)) + 3. Suppose 108*v = 106*v + l. Solve -5*b - 18 = -v for b.
-3
Suppose 25 = 5*x - 4*w, 4*x + 2*w + 15 = 7*x. Solve x*z = 75 - 85 for z.
-2
Let i(n) = n**3 - 26*n**2 + 10*n - 171. Let r be i(26). Solve b - r = -94 for b.
-5
Let j be 55 + 3/(-3) + -4. Let t be (-1*1)/((-10)/j). Solve -3*p - t = -2 for p.
-1
Suppose -12 = x + 3*x + 4*w, 2*x - 9 = w. Let s = 26 + -23. Solve -x*d - s*d = -10 for d.
2
Suppose 135 = -64*v + 73*v. Solve 3*b + v = 6*b for b.
5
Let j(d) = -d + 5. Let k be j(5). Let l be 6 + 1 + -2 + (-12)/6. Let f be 8/l - 18/(-54). Solve 3*c - 6 + f = k for c.
1
Let t(w) = 2*w - 26. Let c be t(-13). Let b = c - -52. Solve 7*s - 3*s = b for s.
0
Suppose -4 + 0 = -2*a. Suppose -u = 2*z - 15, -z + 3*u = -0*u - 11. Solve -a*t = -0*t + z for t.
-4
Suppose -5*x - 9 = -144. Suppose -4*z + 3*i + x = 0, -8*z + 6*z + 1 = i. Solve 0*j + z*j = 15 for j.
5
Let s(f) = 3*f + 4 - 382*f**2 + 387*f**2 + f**3 + 2*f. Suppose 5 = -5*u - 15. Let j be s(u). Solve 2*x - 2 + 0 = j for x.
1
Suppose -224 = -4*w - 2*f, 8 = 3*f + f. Solve u = 12*u - w for u.
5
Let y = 18 - 7. Let p be y - 5 - 6/(-2). Suppose 0 = 3*c - 4*m - 21, -6*c + c - 2*m + p = 0. Solve -t = -0*t + c for t.
-3
Suppose -3*m + 2*y = -14, -5*y - 21 - 1 = -m. Solve 0 = m*n + 13 - 5 for n.
-4
Suppose -6 = 3*o, 13 - 97 = -3*i + 3*o. Solve -4*h - i = -42 for h.
4
Let q(x) = -33*x + 139. Let v be q(4). Solve 0 = v*s + 46 - 18 for s.
-4
Let w be (-1 + 2)*(48 + 1). Let u = -48 + w. Solve 2*p - 7 = u for p.
4
Suppose -3*z + 15 = 0, 4*o - z - 61 - 22 = 0. Suppose -5*m - 4*r = -o, -5*r + 7 = -m - 2*r. Solve m*d = 9 + 1 for d.
5
Suppose 0 = -5*b + 11*b - 30. Suppose -3*y = 4*y - 91. Solve -2 - y = -b*n for n.
3
Suppose 0 = -2*t - 5*v + 104, -v = 3*v. Let g = 56 - t. Solve 3 = g*c - 5*c for c.
-3
Suppose -s - 5 = 3. Let q = 22 + s. Suppose -q*u + 12*u = -4. Solve j - 6 = -u for j.
4
Suppose -43*c + 39*c + 3*n + 10 = 0, -2*n - 12 = -4*c. Solve c*l + 3*l = -2*l for l.
0
Let c(j) be the first derivative of -j**4/4 + 7*j**3/3 + 3*j**2/2 - 16*j - 2. Let y be c(7). Solve -4 = t - y for t.
1
Let w(x) = 25*x - 1 - 23*x - 4*x**3 - x**2 + 0*x**2 + 5*x**3. Let u be w(1). Solve t + u = -3 for t.
-4
Let x(p) = 25*p**3 - 2*p**2 - 2*p - 1. Let g be x(-1). Let j = 43 + g. Let i = j - 15. Solve i*a - 3 = -1 for a.
1
Let n(x) be the third derivative of -2*x**2 + 0 + 1/2*x**3 + 0*x - 5/24*x**4 + 1/60*x**5. Let f be n(5). Solve -f = -3*t + 12 for t.
5
Suppose 16*c = -59 + 123. Let p(u) = u**3 + 6*u**2 + 3*u + 8. Let g be p(-6). Let r be c - 9/((-45)/g). Solve -4*v + r - 18 = 0 for v.
-4
Let d(x) = -x**3 - 3*x**2 + 2*x. Let r be d(-4). Suppose -k - 4*u = r, -3*k + 0*k = -5*u + 24. Let v = 2 - k. Solve -y + v = y for y.
5
Let h be 336/(-30) - 2/(-10). Let t = 16 + h. Suppose -t*v + 18 = -2*v. Solve 5*g - v = 3*g for g.
3
Let x = -174 - -289. Solve -109*u = -x*u + 6 for u.
1
Let o be (1 - 14)*(-1)/(-1). Let q = o + 26. Suppose -20*z + 35 = -45. Solve -z*w + q = 1 for w.
3
Suppose 0 = -10*o + 5*o. Suppose -2*u + 2*m = -14, 0 = 2*u + m + 1 - 6. Solve o = -3*z + u*z + 3 for z.
-3
Suppose 2*b - 15 + 3 = 0. Suppose 3*v = 2*z - b, -4*z = -10 - 2. Let j = v - -4. Solve 9*c = j*c + 15 for c.
3
Let d(k) = -7. Let t(a) = -a + 1. Let m(s) = d(s) - 2*t(s). Let i be m(6). Let j be (i/4)/((-2)/(-8)). Solve -4*x + j + 17 = 0 for x.
5
Let k = -278 - -282. Let t = 11 + -8. Suppose -3*p = -k*q + t - 7, -q = 4*p - 18. Solve -z - p = z for z.
-2
Suppose -57 = -5*n + 4*x, -3*n + 33 = 2*n + 4*x. Let u = 943 - 943. Solve -3*r + n = -u*r for r.
3
Suppose 0 = -3*t - 12, -3*t = -4*w - 7*t. Suppose -2*j + 23 = 2*j - 3*h, 0 = -4*j - 4*h - 12. Solve w*l - 2*l = j for l.
1
Let i be (99/27 - (-12)/9) + 1. Solve 4*c = c + i for c.
2
Suppose 1 = -3*d + 10. Let y(t) = -t**2 + 5*t - 2. Let x be y(d). Let s be 1/x*4*1. Solve 4 + s = b for b.
5
Suppose 2*w = 4*x - 0*w - 66, -4*x + 68 = -4*w. Let a = x - -4. Solve -a = 5*i - 0*i for i.
-4
Suppose 528 = -15*x + 1803. Solve -80*p - 10 = -x*p for p.
2
Let m = 24 + -43. Let n = m + 18. Let a be 2 + n/(-1) + -3. Solve a*p + 2 = p for p.
2
Let k(s) = s**2 - 2*s + 2. Let r be k(3). Suppose 2*c + 3*c + 16 = h, -c - 24 = r*h. Let w be (-2)/4*16/c. Solve 0 = -2*o + w - 8 for o.
-3
Let w be 30/18*-3 - -9. Solve 15 = w*h - h for h.
5
Let w be (-7)/(-21) - 10/(-6). Suppose 0 = w*u + 3*s - 54 + 10, -4 = -2*s. Let l = u - 9. Solve -2*p + l = 4 for p.
3
Suppose 188*y = 179*y + 108. Solve 139*w = 135*w + y for w.
3
Let k be -3 - (-1)/(-2 - 45/(-20)). Solve 0 = -4*q + 7 + k for q.
2
Let z(g) = g**3 - 10*g**2 - 11*g + 2. Let x be z(11). Suppose w - 2*b + 10 = 0, -5*b + 15 = w - x*b. Suppose 4 = 4*d - w*d. Solve 0*a - d = -a for a.
1
Let s be (-24)/(-10) + 18/(-45). Let z be (-1)/((s/(-3))/2). Solve 0 = -o + z*o - 4 for o.
2
Let m be 4/(-18) - (-5730)/270. Let s be (-4)/14 + 174/m. Solve c = 5*c - s for c.
2
Suppose -21*s = -25*s + 36. Solve 4*t = s*t - 15 for t.
3
Suppose -i + 3 = -2. Suppose 4*t = i*t - 4. Suppose 7 = 3*y + t*b - 9, y - 9 = -5*b. Solve 0*a - y*a - 20 = 0 for a.
-5
Suppose 3*j - 15 = -5*t - 0, -t = 4*j - 20. Solve 0 = -j*u + 20 - 0 for u.
4
Let k be ((-35)/3)/(-5)*15. Let q = k + -35. Solve -n - n - 8 = q for n.
-4
Let o = 1 - -6. Let v = -24 - -17. Let b be o - 7/(v/(-2)). Solve -4*k - b = -5*k for k.
5
Let f(b) = -b**3 - 22*b**2 + 3*b + 99. Let w be f(-22). Solve -37 + w = -r for r.
4
Let y(i) = -5*i - 2. Let b be y(-2). Solve -50 = -18*d + b*d for d.
5
Let h be 5/(-10) + (22/4 - 1). Suppose -h = -i + 1. Solve -2 = i*v - 7 for v.
1
Suppose v = 3*y + 25, -v - 4*y + 28 = -11. Suppose 31 = -3*w + 5*w - 5*s, 5*w = -3*s + v. Solve -3*z - w = z for z.
-2
Let x(n) = n**3 + 13*n**2 - n - 13. Let k be x(-13). Suppose 4*r - 2*r + 5*z - 41 = k, -4*z - 12 = -4*r. Solve 0 = d + d - r for d.
4
Suppose 10*h - 3*h = 0. Solve h*n + 20 = 5*n for n.
4
Let x(v) = v**3 - 4*v**2 + 18*v - 43. Let m be x(3). Solve -m*r + r = 5 for r.
-5
Let o(k) be the third derivative of -k**5/60 - k**4/6 - 14*k**2. Let j be o(-3). Solve p = -2*p - j for p.
-1
Let z(d) = -2*d**3 - 29*d**2 + 8*d - 93. Let r be z(-15). Solve -r*n + 16*n + 8 = 0 for n.
-2
Let i(q) = q - 2. Let l(a) = -3*a + 7. Let y(n) = 22*i(n) + 6*l(n). Let o be y(6). Let f be 4/o - 258/(-33). Solve 3*k - 5*k + f = 0 for k.
4
Let p(b) be the third derivative of 0 + 0*b - b**3 - 1/24*b**4 - 8*b**2. Let r be p(-8). Solve r*u + 3*u = -5 for u.
-1
Let f = -643 - -652. Solve 7*l = f*l - 4 for l.
2
Let u = -25 + 15. Let s = u - -13. Suppose -s*y = -7*y. Solve -4*i + y - 8 = 0 for i.
-2
Let y(m) = -m**2 - 8*m + 23. Let i be y(-10). Suppose i*b - 4 = -5*q, 0 = q - 6*q - 5. Solve -20 = -b*u - u for u.
5
Let r(b) = 9*b**2 - 10*b - 2. Let v be r(3). Let u = v + -47. Solve u*j + 10 = -3*j for j.
-2
Suppose 1 = s + 5*u, -5*u + 1 + 3 = 4*s. Let y be (2 - s)/(2 + (-14)/8). Solve 2*w - y = w for w.
4
Suppose 1 - 4 = -3*k, -5*k + 17 = 3*p. Suppose 2*y - 3*u = 17, y + 3*u + 13 = -y. Suppose 0 = -4*c + 2*m + 26, c + 3*m - y = -12. Solve -p*a + c = -3*a for a.
4
Let j be ((-18)/(-4))/(9/36). Let s(x) = x**2 + 10*x + 2. Let z be s(-10). Suppose 4*u = 4*b - 9*b + 10, z*b - 4 = u. Solve u = 4*c - j - 2 for c.
5
Let p be (-1)/((-1)/(-15)*-3). Solve 12 = -2*d + p*d for d.
4
Let o(x) = 2*x**2 - 29*x - 77. Let t be o(17). Sol | {
"pile_set_name": "DM Mathematics"
} |
of 864318 and 819?
273
Calculate the greatest common divisor of 68233 and 11.
11
Calculate the greatest common divisor of 83 and 655534.
83
What is the greatest common factor of 5786 and 461302?
526
What is the greatest common factor of 91020 and 10988?
164
What is the greatest common divisor of 2162 and 54?
2
Calculate the greatest common factor of 1053 and 767.
13
Calculate the highest common divisor of 2806 and 3294.
122
Calculate the highest common divisor of 476 and 10892.
28
Calculate the greatest common factor of 338272 and 66.
22
What is the greatest common factor of 477 and 23267?
53
What is the greatest common divisor of 2360 and 107970?
590
Calculate the highest common factor of 15980 and 765.
85
Calculate the greatest common divisor of 59 and 107203.
59
What is the highest common factor of 120835 and 495?
55
What is the greatest common divisor of 1905 and 135?
15
Calculate the greatest common factor of 413 and 406451.
59
What is the highest common factor of 52 and 312572?
52
What is the greatest common divisor of 24 and 859056?
24
Calculate the greatest common factor of 4765 and 65.
5
Calculate the highest common divisor of 3506448 and 696.
696
Calculate the highest common divisor of 15 and 84585.
15
Calculate the greatest common factor of 448 and 189.
7
What is the highest common divisor of 215 and 172215?
215
What is the greatest common factor of 554 and 89?
1
Calculate the highest common factor of 264 and 580008.
264
What is the greatest common factor of 3056 and 333486?
382
What is the highest common factor of 10 and 923035?
5
What is the greatest common factor of 16909 and 185?
37
What is the greatest common factor of 350 and 10920?
70
What is the highest common factor of 314 and 186202?
314
What is the greatest common divisor of 124808 and 12?
4
What is the greatest common divisor of 416 and 59124?
52
Calculate the highest common factor of 204872 and 424.
8
What is the greatest common factor of 9456 and 39?
3
What is the greatest common factor of 874 and 1472?
46
What is the highest common divisor of 35 and 33845?
35
What is the highest common factor of 4130669 and 2458?
1229
What is the greatest common factor of 6108 and 420?
12
Calculate the greatest common factor of 117513 and 1584.
99
Calculate the greatest common factor of 45278 and 4.
2
Calculate the greatest common factor of 13199 and 394.
197
Calculate the highest common factor of 20778 and 9.
3
Calculate the greatest common factor of 955739 and 419.
419
Calculate the greatest common divisor of 38913 and 48832.
763
Calculate the greatest common factor of 2060 and 2760.
20
What is the highest common divisor of 52256 and 5254?
142
What is the greatest common factor of 84224 and 9268?
28
Calculate the highest common factor of 491257 and 3565.
713
What is the highest common factor of 967 and 1358?
1
Calculate the greatest common factor of 46433 and 36989.
787
Calculate the greatest common divisor of 180 and 88170.
30
Calculate the highest common factor of 2880 and 29880.
360
Calculate the highest common divisor of 4818230 and 265.
265
Calculate the greatest common divisor of 5143 and 29607.
139
Calculate the highest common divisor of 2699494 and 203.
203
Calculate the greatest common divisor of 767221 and 819.
91
What is the greatest common divisor of 66 and 9141?
33
What is the highest common factor of 18704 and 896?
112
Calculate the highest common factor of 136 and 53414.
34
What is the highest common divisor of 266065 and 381?
127
Calculate the highest common divisor of 151268 and 130.
26
What is the highest common divisor of 68625 and 1830?
915
Calculate the highest common divisor of 21 and 180189.
3
Calculate the greatest common divisor of 312 and 5739942.
78
Calculate the greatest common divisor of 13224 and 1368.
456
What is the highest common divisor of 168465 and 330?
165
What is the greatest common divisor of 152 and 77501?
19
Calculate the greatest common factor of 10668 and 84.
84
Calculate the greatest common factor of 1290 and 115326.
258
Calculate the greatest common factor of 438 and 2448.
6
Calculate the greatest common divisor of 9 and 298719.
9
What is the highest common divisor of 19906 and 2553?
37
What is the highest common factor of 7747 and 122?
61
Calculate the greatest common divisor of 98 and 492695.
49
What is the greatest common divisor of 142688 and 56?
56
What is the highest common divisor of 1397 and 4699?
127
What is the greatest common factor of 3245 and 3685?
55
What is the highest common divisor of 332775 and 13005?
765
Calculate the highest common factor of 169749 and 135.
27
Calculate the highest common divisor of 24864 and 192.
96
Calculate the greatest common divisor of 2303 and 103823.
47
Calculate the highest common divisor of 10 and 1408.
2
What is the highest common factor of 74979 and 405?
27
What is the highest common divisor of 1263 and 291332?
421
What is the highest common factor of 6 and 29187?
3
Calculate the highest common factor of 828 and 930258.
414
What is the greatest common factor of 925 and 2664?
37
What is the greatest common divisor of 182 and 2170?
14
Calculate the greatest common factor of 12 and 975174.
6
What is the highest common factor of 9610884 and 684?
684
What is the highest common factor of 66 and 1754720?
22
Calculate the greatest common divisor of 1043 and 42.
7
Calculate the greatest common divisor of 588328 and 104.
104
Calculate the greatest common divisor of 13453 and 99.
11
Calculate the greatest common factor of 105 and 12278.
7
What is the highest common divisor of 192685 and 445?
445
What is the highest common factor of 70664 and 12221?
121
What is the greatest common factor of 4221 and 879?
3
What is the greatest common factor of 68634 and 6138?
558
What is the highest common factor of 40168 and 8?
8
What is the highest common divisor of 1066 and 10250?
82
What is the greatest common divisor of 165 and 29997?
33
What is the greatest common divisor of 329157 and 9?
9
What is the greatest common divisor of 3549 and 3003?
273
Calculate the highest common factor of 1143 and 3556.
127
Calculate the greatest common divisor of 1587 and 3657.
69
Calculate the greatest common divisor of 4470 and 690.
30
What is the greatest common factor of 14 and 16142?
14
Calculate the greatest common divisor of 75638 and 118.
118
Calculate the highest common divisor of 130318 and 184.
46
What is the highest common divisor of 307026 and 740?
74
What is the highest common factor of 317 and 16484?
317
What is the greatest common divisor of 46107 and 20727?
423
Calculate the greatest common divisor of 32 and 6376.
8
What is the highest common divisor of 229448 and 174?
58
Calculate the highest common factor of 2 and 153252.
2
Calculate the greatest common divisor of 49275 and 108.
27
What is the greatest common divisor of 2394 and 246240?
342
Calculate the highest common factor of 611 and 996400.
47
Calculate the highest common factor of 11840 and 1560.
40
What is the greatest common divisor of 156 and 3783?
39
What is the greatest common divisor of 1116542 and 2768?
346
What is the greatest common divisor of 284513 and 107?
107
Calculate the highest common factor of 38799 and 26345.
479
What is the greatest common factor of 494235 and 735?
105
What is the greatest common divisor of 112 and 1475572?
28
Calculate the highest common divisor of 124 and 467356.
124
Calculate the highest common divisor of 244854 and 1342.
122
What is the highest common divisor of 157470 and 100?
10
Calculate the greatest common divisor of 143856 and 15392.
592
Calculate the greatest common divisor of 602 and 64834.
14
What is the highest common factor of 296 and 9916?
148
What is the greatest common factor of 224 and 203728?
112
Calculate the highest common factor of 28 and 44828.
28
Calculate the highest common factor of 994536 and 8.
8
What is the greatest common divisor of 282608 and 144?
16
What is the greatest common factor of 13675 and 51418?
547
What is the highest common factor of 36 and 415068?
12
Calculate the highest common factor of 3717 and 4113.
9
What is the highest common divisor of 21987 and 2709?
63
What is the greatest common divisor of 39 and 1670669?
13
Calculate the greatest common divisor of 17877 and 708.
177 | {
"pile_set_name": "DM Mathematics"
} |
+ 3*a - 2*a + 2*a as o*a + l and give o.
17
Express -v - 14*v**2 - 5*v**2 + 62*v**2 + 30*v**2 as b*v + g + z*v**2 and give z.
73
Express (f + 0*f + 0*f)*(-6*f + 17*f - 65*f) - 6*f + 6*f - 3*f**2 - 2*f**2 + 4*f**2 - 3*f**2 as l*f + s + k*f**2 and give k.
-58
Express -64*j - 61*j - 82*j as u*j + h and give u.
-207
Rearrange (-4*g**2 - 3*g**2 + 4*g**2)*(40 - 104 - 149) to z*g**2 + p*g + a and give z.
639
Express -93 - 102*f + 93 - 688*f as b + c*f and give b.
0
Express -g**4 - 6*g**3 + 7*g**3 - 2*g + 11 - g**2 - 2*g**4 in the form t*g**2 + s + p*g + l*g**4 + r*g**3 and give t.
-1
Express 15 - 547*i - 6 - 6 - 3 in the form g + r*i and give r.
-547
Rearrange (-7*r**2 + 3*r**2 + r**2)*(-2182 - 1805 + 4435) to the form z*r + o*r**2 + w and give o.
-1344
Express 15 - 341*n**2 - n - 4*n**4 + 341*n**2 as z*n + i*n**4 + j*n**3 + a + u*n**2 and give a.
15
Express -12*r**2 - 187*r - 16*r**2 + 31*r**2 - 4*r**2 in the form i*r**2 + j*r + l and give i.
-1
Express 6*u + u - 2*u - 481*u + 270*u + 270*u - 2 + (-3 + 3 + 2)*(-4*u + 5*u - 3*u) as j*u + n and give j.
60
Rearrange 2*l**2 - 5*l**2 + 7*l**2 + (l + 4*l - 2*l)*(4*l + 5*l + l) to the form j*l**2 + g + r*l and give j.
34
Rearrange (-2*h + 5*h - 4*h)*(-21 - 33 + 34 - 44) to g*h + z and give g.
64
Rearrange 6*s - s**2 + 0*s**4 + 0*s**4 - 2*s**4 + 2 - 3*s + 2*s**2 + 2*s**3 to f*s**3 + o + i*s**2 + h*s**4 + m*s and give f.
2
Express (5*d**2 + 0*d**2 - 4*d**2)*(-75*d + 56*d - 225*d - 209*d)*(-5*d + 3*d - d) as v*d + a*d**2 + w + g*d**4 + h*d**3 and give g.
1359
Express z**2 + 2*z**2 - 5*z**2 + (0*z**2 - z**2 + 4*z**2)*(5 - 4 + 1) - 9*z**2 - 9*z**2 + 32*z**2 in the form w*z**2 + n*z + s and give w.
18
Rearrange 29966*q**2 - 2 - 4*q - 29958*q**2 + 5*q**3 + 2 to r*q**3 + k*q + a*q**2 + x and give a.
8
Express 32*m**2 - 66*m**2 + 36*m**2 - m**3 + 166*m**4 as o*m + h + a*m**2 + k*m**3 + s*m**4 and give k.
-1
Express -n**3 - 7*n - n**4 - n**3 - 806 + 805 as y*n**4 + j*n**2 + k + i*n**3 + a*n and give k.
-1
Express -42*p + 95*p + 105*p in the form t*p + l and give l.
0
Express 9*g**3 - 5*g**3 - 10 - 5*g**3 + 67*g**2 + g**4 - 39*g**2 as j + z*g**3 + c*g**2 + k*g**4 + h*g and give k.
1
Rearrange -2*h**3 + 21 - 2*h**2 + 4*h**2 - 12 to j + n*h**3 + q*h**2 + b*h and give j.
9
Express (3 - 4 - 5)*(-3*n**2 + 3*n**2 - 2*n**3) + (-35 + 18 + 18 - 5*n**2)*(-n + 4 - 4) in the form t*n + c + y*n**2 + j*n**3 and give y.
0
Express -206*t**2 - 45*t**2 - 118*t**2 + (3 - t - 3)*(-3*t + 0*t + 4*t) + 3 - 3 - t**2 in the form k*t**2 + v + w*t and give k.
-371
Express (0*x**3 + x**3 + 3*x**3)*(-9 - 245 + 32 - 99 - 365) as w*x + j*x**2 + m*x**3 + g and give m.
-2744
Rearrange 2 - 2 - 2*m + 4*m - m - m + m + 3 - 3 + (7 - 2 - 3)*(3 - 3 + 2*m) + (4 - 6 + 1)*(3*m - 4*m + 3*m) + m - 20 + 20 to r + p*m and give p.
4
Express -404*s + 611 - 611 - 175*s as j + d*s and give d.
-579
Rearrange -3*a**2 + 1 + 36*a**4 - 6*a**2 - a + 2*a**3 - 2 + 8*a**2 to the form j*a**3 + o*a**2 + d*a**4 + n + l*a and give o.
-1
Express (0 - 6 + 2 - 5*v)*(8*v**3 - v**3 - 5*v**3 + 3) in the form z*v**2 + c*v**4 + y*v + u + b*v**3 and give b.
-8
Rearrange -78 + 195*z**3 - z - 76 + 154 to i + t*z**3 + y*z + j*z**2 and give y.
-1
Rearrange (11 + 47 + 49 - 21)*(-30*v + 22*v + 2 - 3) to the form p + f*v and give f.
-688
Rearrange 6 - 2*s + 19 - 82 to k*s + i and give k.
-2
Express 74 - 100*o - 37 + 490*o - 36 as i*o + s and give i.
390
Express (-10*j**2 - 14 + 17 - 13)*(2*j**2 + 5*j**2 - 2*j**2) as f*j**4 + n*j**2 + y + l*j**3 + a*j and give n.
-50
Rearrange (19*t - 195 + 195)*(-1 - 3 + 2) + 6*t + 13 - 13 + 2 - 2 - 2*t + (-4 + 4 + 2*t)*(1 + 0 - 2) to the form m*t + g and give m.
-36
Rearrange -16755*n**3 - 1 + 16813*n**3 + 3 - 4*n to the form w + q*n**3 + m*n + i*n**2 and give q.
58
Rearrange 195*a + 4*a**2 - a**2 - 392*a + 196*a - 13*a**3 to the form q*a + w*a**2 + u + s*a**3 and give q.
-1
Rearrange (-4*g**3 + 3*g**3 + 5*g**3)*(24*g + 15*g + 8*g) to i*g + f*g**3 + u*g**2 + n*g**4 + r and give n.
188
Express (-366*n + 714*n + 372*n + (2*n - 2*n - 2*n)*(-6 + 3 + 5) + n + n - 4*n)*(-5 + 0 + 4)*(1 - 4 + 2) in the form h + y*n and give y.
714
Rearrange 6*k**2 + 2 - 30*k**2 - 35*k**2 - 11*k**2 to the form c*k**2 + u + h*k and give u.
2
Rearrange 41*l**2 + 444*l**2 + 212*l**2 + 258*l**2 - 160*l**2 to c + p*l + v*l**2 and give v.
795
Express -52 + 25 + 27 - 170*b + 811*b in the form d*b + w and give d.
641
Rearrange (-2 + 2 + 1)*(8*b**2 + 0*b**2 - b**2)*(1 + 0 - 7) to k*b + i + q*b**2 and give q.
-42
Rearrange -160*p**2 + 533*p**2 - p**4 - 1 + 265*p**2 to g*p + i + q*p**4 + r*p**3 + z*p**2 and give z.
638
Express 5*f**2 + 7*f**2 - 5*f**2 + (-2*f + f + 3*f)*(0 + 2*f + 0) + 6*f**2 + f**2 - 43*f**2 in the form r*f + w + z*f**2 and give z.
-25
Express (6*c + 7 - 7)*(-70*c + 9*c - 15*c) in the form h*c**2 + r + b*c and give b.
0
Express 132*a - 238*a - 81*a in the form o + m*a and give m.
-187
Rearrange (i - 18 + 18)*(5*i**3 - i**3 - 3*i**3 - i) to the form g*i + s + x*i**2 + m*i**3 + z*i**4 and give z.
1
Express -i**2 - i**3 + i**2 + (-i**2 - 2*i**2 + i**2)*(-2*i + 3*i + i) + 4696*i**3 - 2742*i**3 - 2630*i**3 as j*i**2 + c*i**3 + r*i + h and give c.
-681
Rearrange 285*h - 184*h - 3 - 1443*h + 3 to j*h + o and give j.
-1342
Express (14 - 57 - 12)*(-7*k + 19*k - 8*k) in the form x*k + s and give x.
-220
Express -4 - 130*c + 115 + 13 + 129*c as z*c + t and give z.
-1
Rearrange -11*a + a**2 - 3*a - 11*a + 2 - a**2 - a**3 to the form p + o*a**3 + d*a + v*a**2 and give d.
-25
Express -13*c + 13*c - 30*c**2 - c**2 - 7*c**2 + 3*c**2 + (c**2 + 4*c**2 - 3*c**2)*(4 + 0 - 2) + 3*c**2 + c**2 - 2*c**2 as b*c + x + i*c**2 and give i.
-29
Express c**3 + 5*c + 0*c**2 + 2*c**4 + 27*c**2 - 2 + 13*c**2 - 15*c**2 in the form g*c**3 + w*c**4 + y*c + p*c**2 + r and give g.
1
Express (398 - 398 + 5*o)*(-2 + 2 - 1)*(-4 + 4 - 2) in the form n*o + b and give n.
10
Rearrange -39*k**3 - 47*k**3 - 39*k**3 + 126*k**3 - 379 - k**2 - 2*k to the form o*k**2 + m*k**3 + u + f*k and give f.
-2
Express -u**3 + u**3 + u**4 + (45*u + 32*u - 135*u)*(-3 + 3 + u**3) as o*u**3 + i*u + c + b*u**4 + g*u**2 and give b.
-57
Rearrange (-3*f + 8*f + f)*(-1 + 2*f**2 + 1) + 3*f**3 - 6*f**3 + 2*f**3 to p*f + y + c*f**3 + l*f**2 and give c.
11
Rearrange -15*p**2 - 21*p**2 - 76*p**2 + (2 - 10*p + 3*p - 1)*(p - p + 2*p) to j + k*p + s*p**2 and give k.
2
Express (-x**2 - x**2 - x**2)*(-1392 + 2766 - 1392)*(1 + 0 - 4) in the form u + v*x + a*x**2 and give a.
-162
Express (2*a + 0 + 0 + (3*a - a - 4*a)*(2 - 2 + 2) - 9 + 77*a + 72*a - 151*a)*(3*a - a - 4*a + 2) in the form t + i*a + h*a**2 and give h.
8
Rearrange (-497 - 513 - 693 - 331)*(2 + k - 2) to d*k + b and give d.
-2034
Express (3*i + 2*i - 3*i + (-2*i + 3 - 3)*(-3 - 1 + 6))*(-25*i**2 + 197*i**2 + 452*i**2) as b*i + u*i**3 + l*i**2 + a and give u.
-1248
Rearrange -2*k**3 - 147*k + 2*k**2 + 10 + 305*k - 161*k to the form q + u*k + i*k**2 + h*k**3 and give q.
10
Rearrange (-b - 2*b + 5*b)*(-4*b + 2*b - 2*b)*(51940 - 177*b**2 - 51940) to s + c*b**2 + k*b + v*b**4 + q*b**3 and give v.
1416
Rearrange n + 2 - 5*n**4 - 8*n - n**2 - 3*n - n**3 - 1 + 12*n to b*n**4 + z*n + r + k*n**3 + o*n**2 and give r.
1
Rearrange 4*z - 3*z - 4*z**4 + 0*z + z**4 - 17*z**3 - z**2 to l + y*z**3 + r*z**4 + k*z + x*z**2 and give x.
-1
Rearrange -55 + 58 + 48*g**3 - 3*g**3 - 115*g**4 + 114*g**4 + 2*g**2 + 7*g**3 to the form u*g**3 + n*g**2 + h + w*g**4 + q*g and give u.
52
Rearrange -342*z**2 - 8879 + 8879 to a*z**2 + j*z + y and give a.
-342
Express 0*q**3 - 2*q**3 - 3*q**3 + 21*q**3 - 63*q**2 + 63*q**2 + (q - 2*q + 3*q)*(2*q - 2*q + q**2) as u + j*q**3 + f*q + g*q**2 and give j.
18
Express f**3 + 17257*f - 12*f**2 + 32*f**4 - 17257*f + (-f + 3*f - f)*(1 + f**3 - 1) in the form w*f**2 + v*f + u + c*f**3 + r*f**4 and give w.
-12
Express (2*k**2 - 84*k + 163*k - 70*k + 1)*(-5*k + 2*k + 2*k + (2*k - 5 + 5)*(7 - 1 - 2)) in the form s*k**2 + x*k + y + n*k**3 and give n.
14
Express (-z + 0*z - 3*z)*(-31*z - 28*z + 57*z - 67) in the form w*z**2 + t*z + a and give w.
8
Rearrange -121*w - 113*w + 3 + 335*w - 118*w to the form g*w + f and give f.
3
Express (0*h**3 - 13*h**3 - 17*h**3)*(1 - 1 + 2)*(-7*h - 10*h + 4*h) as t + p*h + y*h**2 + k*h**4 + a*h**3 and give p.
0
Rearrange b + 9*b**2 - 17 + 36 + 2*b**3 - 11*b**2 to | {
"pile_set_name": "DM Mathematics"
} |
2 - 11*r - 15*r + 21*r. Let g(f) = -f + 1. Determine -6*g(p) + y(p).
-2*p**2 + p - 2
Let g(f) be the second derivative of -f**3/2 + f**2 + 12*f. Let l(m) = -3*m + 3. Determine 3*g(h) - 2*l(h).
-3*h
Let z(g) be the first derivative of -g**4 - 5*g**2/2 - 14. Let k(y) = 4*y**3 + 4*y. What is 5*k(o) + 4*z(o)?
4*o**3
Let g(f) = 2*f**3 - 3*f**2. Let v = 28 + -23. Let t(u) = u**3 - u**2. Calculate v*g(k) - 15*t(k).
-5*k**3
Suppose 2*o + 7 = 5*m, -4*m - 2*o + o + 3 = 0. Let k(v) = -6*v**2 + 2*v + 4. Let t = 3 - 7. Let s(y) = 0 - y**2 + 1 + 0*y**2. Determine m*k(g) + t*s(g).
-2*g**2 + 2*g
Let o(i) = 13*i**2 + 6*i + 5. Let p(t) = 12*t**2 + 5*t + 4. Give 5*o(a) - 6*p(a).
-7*a**2 + 1
Let g(r) = 19*r - 3. Let i(l) = -13*l + 2. Determine -5*g(k) - 8*i(k).
9*k - 1
Let u(d) = -7*d**2 - 5*d. Let b(h) = h**3 + 3*h**2 - 2*h - 2. Let z be b(-5). Let p be z/(-8) - (-1)/(-4). Let l(y) = -3*y**2 - 2*y. Calculate p*l(m) - 2*u(m).
-m**2
Let a be (-52)/(-9) - 2/(-9). Let w(x) = -x - 3. Let f(o) be the third derivative of o**4/12 + 7*o**3/6 + 5*o**2. Give a*f(c) + 14*w(c).
-2*c
Let b(y) = y - 1. Let l(v) = -1. Determine -b(d) + l(d).
-d
Suppose 0*j = -2*j + 52. Let h be j/6 + 1/(-3). Let l(a) = -4*a + 7. Suppose 5*r = -5*q - 10, 2*r + 5*q + 1 = 2*q. Let c(k) = -3*k + 6. Give h*l(w) + r*c(w).
-w - 2
Let d(x) = x**2 + 4*x + 8. Let i(k) = k + 1. Give -d(f) + 6*i(f).
-f**2 + 2*f - 2
Let x(w) = 9*w**3 + 2*w**2 + 2. Let g(c) = -45*c**3 - 11*c**2 - 11. Determine -2*g(z) - 11*x(z).
-9*z**3
Let f = -407 + 405. Suppose -3*t = -0 + 3. Let r(d) = -3*d. Let m be r(t). Let z(y) = -2. Let x(h) = -h - 3. Calculate f*x(g) + m*z(g).
2*g
Let z(b) = -b**2 + 6*b + 2. Let p(g) = g. Let n(d) = 4*d - 27. Let s be n(7). Calculate s*z(j) - 6*p(j).
-j**2 + 2
Let n(g) = g - 7. Let o(a) = -4. Let h(k) = -1. Let i(l) = -9*h(l) + 2*o(l). Calculate -5*i(w) - n(w).
-w + 2
Let v(r) = -5*r**3 - 3*r**2 + 7*r - 3. Let k(t) = -4*t**3 - 2*t**2 + 6*t - 2. Determine 3*k(l) - 2*v(l).
-2*l**3 + 4*l
Let j(i) = 5*i + 2. Let s(k) = -2*k - 1. Determine -4*j(d) - 11*s(d).
2*d + 3
Let u(v) be the first derivative of -5*v**3/3 - 2*v**2 - v + 5. Let z(m) = -m**2 - m - 1. Give u(h) - 4*z(h).
-h**2 + 3
Let p(z) = -5*z + 46. Let r(x) = -x + 9. Let b be 6/(-4) - (-6)/(-4). Let q = 1 + b. Let j(f) = q*p(f) + 11*r(f). Let h(d) = -1. Determine 6*h(i) + j(i).
-i + 1
Let u(i) = -i**2 + 5*i + 59. Let q(x) = -2*x**2 + 7*x + 88. Give 5*q(z) - 7*u(z).
-3*z**2 + 27
Let k(y) = -14*y**2 - 4*y - 4. Let o(g) = -85*g**2 - 25*g - 25. Calculate 25*k(m) - 4*o(m).
-10*m**2
Let t(x) = 7*x**3 + 20*x**2 + 4*x - 4*x**3 - 21*x. Let j(k) = -k**3 - 7*k**2 + 6*k. Calculate 17*j(v) + 6*t(v).
v**3 + v**2
Let q(k) = -3*k**2 + 2*k - 8. Let w(y) = -2*y**2 + 2*y - 7. Let t = -89 - -83. What is t*w(r) + 5*q(r)?
-3*r**2 - 2*r + 2
Let t(o) = -3 - 2 - 2*o + 1 + 6. Let z(l) = -l. What is t(f) - 3*z(f)?
f + 2
Let n(k) = -5*k**3 + 2*k**2 + 4*k + 5. Let s(c) = 14*c**3 - 5*c**2 - 11*c - 14. Suppose -q + 9*g - 4*g = -14, 5*q = 2*g - 45. Determine q*n(i) - 4*s(i).
-i**3 - 2*i**2 + 1
Let z(y) = -y**2 + y + 3. Let f(q) = -3*q**2 + 3*q + 7. Suppose -i + 10 = -4*n, 0 = 2*i - n - 4 - 2. Determine i*f(s) - 5*z(s).
-s**2 + s - 1
Let p(t) = 2*t**2 - 3*t + 5. Let s(g) = 5*g**2 - 8*g + 14. Suppose 5*a - 13 + 68 = 0. What is a*p(u) + 4*s(u)?
-2*u**2 + u + 1
Let r(l) = -2*l**3 + 3*l**2 + 2*l + 4. Let t(h) = h**2 + 3*h - 4. Let v be t(-3). Let i(w) = 4*w**3 - 7*w**2 - 5*w - 9. What is v*i(q) - 9*r(q)?
2*q**3 + q**2 + 2*q
Let a(c) = -9*c. Suppose -9*u + 6 - 24 = 0. Let w(k) = -4*k. What is u*a(p) + 5*w(p)?
-2*p
Let s(v) = 5*v - 1. Let l(h) = h. Let x be (-33)/(-6) - 1/2. Let w(g) = x*s(g) - 30*l(g). Let t(z) = -3*z - 3. Suppose -5 = m + 2. What is m*t(j) + 4*w(j)?
j + 1
Let l = 4 + 1. Let p(j) = -17*j**2 - 7 - l*j + 8*j**2 - 4*j. Let t(q) = -8*q**2 - 8*q - 6. Give 6*p(f) - 7*t(f).
2*f**2 + 2*f
Let f be 29/6 - 9/(-54). Suppose 5*l = -5*z - 45, 6*l - f*z = 2*l - 9. Let s(g) = -g**2 + g + 1. Let u(t) = 8*t**2 - 6*t - 6. What is l*s(a) - u(a)?
-2*a**2
Let d(k) be the third derivative of 17*k**6/120 - k**5/12 + k**4/4 - 4*k**3/3 + 7*k**2 - 1. Let o(r) = -11*r**3 + 3*r**2 - 4*r + 5. Determine -5*d(p) - 8*o(p).
3*p**3 + p**2 + 2*p
Let l(m) = 7*m - 7. Let f(p) = 13*p - 15. Give -4*f(n) + 7*l(n).
-3*n + 11
Suppose n + 5*w = -9, 5*w = 4*n - 3*n - 1. Let a = n + 1. Let s(o) = 2*o**2 + 4*o. Let l(y) = y**2 + 2*y**2 + 3*y - y**2. Determine a*s(q) + 4*l(q).
2*q**2
Let c(p) be the second derivative of p**3/6 - p**2/2 - p. Let g = 26 - 13. Suppose b - q = -9, -6*b = -b + 3*q + g. Let t(m) = 3*m - 6. Give b*c(i) + t(i).
-2*i - 1
Let j(i) = -7*i**2 + i + 9. Let a(w) = 13*w**2 - 1. Let y(z) = -7*z**2. Let x(u) = 4*a(u) + 7*y(u). Calculate 2*j(l) + 5*x(l).
l**2 + 2*l - 2
Let d(s) = -4*s - 7. Let a be d(-3). Suppose 3*r - 3 = -9. Let c(l) = -l**3 + l**2 - 4. Let w(v) = -2. Determine a*w(i) + r*c(i).
2*i**3 - 2*i**2 - 2
Let h(l) = 23*l - 5. Let c(i) = -8*i + 2. What is -17*c(g) - 6*h(g)?
-2*g - 4
Suppose p - 2*i = 2*i + 22, 3*p = 4*i + 26. Suppose p*u - 39 = -u. Let y(q) = 7*q**3 + 6*q**2. Let h(s) = 15*s**3 + 13*s**2. Determine u*y(m) - 6*h(m).
m**3
Let b(x) = -x - 1. Let c be b(3). Let f(t) = -1 + 6*t**2 + 5*t + 1 + t**3 - t + 2. Let u(l) = l**2 + l. Calculate c*u(k) + f(k).
k**3 + 2*k**2 + 2
Let k(f) = f**3 - 4*f**2 - 4. Suppose -5*y - 4 + 24 = 0. Let w(i) = -4 - 5*i**2 + 5*i**2 + i**2 + 5. Suppose 5*c - 2 - 3 = 0. Calculate c*k(g) + y*w(g).
g**3
Let s(n) = 2 - 4 - 5*n + 2*n + 1. Let y(g) = -g. Calculate s(c) - 2*y(c).
-c - 1
Let a(s) = -5*s**3 - 2*s**2 - 3*s - 3. Let h(z) = z**3 + z**2 + z + 1. Calculate a(b) + 3*h(b).
-2*b**3 + b**2
Let h(r) = -9*r**2 - 2. Let s(a) = -8*a**2 - 3 + 4 + 12*a**2. Determine -6*h(i) - 13*s(i).
2*i**2 - 1
Let y(v) be the first derivative of v**2/2 - v + 1. Let r(k) = -3*k + 6. Suppose 0 = -2*l - 6*x + 3*x, -l - 14 = -2*x. Let d = l + 5. What is d*r(n) - 4*y(n)?
-n - 2
Let z(k) = -9*k - 4. Let m(q) = -13*q - 8. Let v(n) = -26*n - 17. Suppose -o = x + 5, 3*x = o + 2*o + 3. Let b(r) = x*v(r) + 5*m(r). Calculate 5*b(h) - 7*z(h).
-2*h - 2
Suppose 5*w = -12 + 2. Suppose y + 5*r = 3*r - 12, -5*y = 4*r + 36. Let q(h) = -h - 1. Let l(i) = 3*i + 2. Calculate w*l(s) + y*q(s).
-2*s
Let q(u) be the second derivative of -u**3/6 - 4*u - 6. Let s(o) = -6*o. Suppose 0 = -2*j - 3*g - 28, -2*g = -0*j - 4*j - 40. Give j*q(k) + 2*s(k).
-k
Let v(c) = 15*c + 3. Let o(a) = -7*a - 1. What is -9*o(l) - 4*v(l)?
3*l - 3
Let h = -10 - -15. Let j = 16 + -14. Let t(u) = -2*u + 0*u + u**j + 3 + 1 - 3*u. Let v(s) = s**2 - 9*s + 7. Give h*t(z) - 3*v(z).
2*z**2 + 2*z - 1
Let v(d) = 10*d. Let a(r) = 50*r. Give 3*a(g) - 14*v(g).
10*g
Let d(y) = 5*y - 4. Let m(w) = 5*w - 3*w + 0 - 5 + 4*w. Determine 5*d(u) - 4*m(u).
u
Let q(h) be the first derivative of -2*h**3/3 + 5*h**2/2 + 3*h + 3. Let c(g) be the first derivative of q(g). Let v(p) = p - 1. Determine -4*c(l) - 18*v(l).
-2*l - 2
Let r = 15 - 19. Let x(u) = u**2 - 4. Let n(l) = 2*l**2 - 9. Calculate r*n(a) + 9*x(a).
a**2
Let n(t) = -4*t - 1. Let z be 2 + ((-2)/(-12) - 13/78). Let m(s) = 3*s + 2. Calculate z*n(i) + 3*m(i).
i + 4
Let p(t) = -t + 4. Let i be -1*3*2/3. Let z(k) = -3. What is i*p(f) - 3*z(f)?
2*f + 1
Let w(h) = -6*h**3 - 5*h**2 - 7*h + 5. Let j(p) = 7*p**3 + 6*p**2 + 8*p - 6. Let g be 18/4 + (-2)/(-4). Suppose 86 - 14 = 12*n. What is g*j(t) + n*w(t)?
-t**3 - 2*t
Let u(q) = 3*q**2 - 2*q - 2. Suppose -3*i - 3*w = -12, -w = 4*i + w - 16. Let m be -1 - (-1 + i)/3. Let c(o) = 7*o**2 - 5*o - 5. Calculate m*c(y) + 5*u(y).
y**2
Let z(m) = -3*m**3 + 7*m**2 + 1. Let w(d) = d**3 - d**2. Give -5*w(q) - z(q).
-2*q**3 - 2*q**2 - 1
Let r(i) = 3*i**2 - 11*i - 8. Let u(l) = l**2 - 4*l - 3. Calculate -4*r(t) + 11*u(t).
-t**2 - 1
Suppose 4*o = -3*w + 14 + 9, 0 = -2*w + 2*o + 6. Suppose 0*b = 3*b + 9, -4*t = -2*b - 10. Let x(c) = 4*c - 6. Let r(k) = -k + 1. Determine t*x(z) + w*r(z).
-z - 1
Let z(p) = -3*p**2 - 4*p - 7. Let k(n) = -5*n**2 - 6*n - 11. Let y = -7 - -2. What is y*k(l) + 8*z(l)?
l**2 - 2*l - 1
Let c(b) = 8*b**2 - 8*b + 5. Let t(m) be the second derivative of -7*m**4/12 + 7*m**3/6 - 2*m**2 - 11*m. What is -6*c(q) - 7*t(q)?
q**2 - q - 2
Let b(q) = 9*q**2 + 6*q + 1. Let m(y) = -y**2 - y. Determine b(z) + 6*m(z).
3*z**2 + 1
Let c(h) = 8*h + 17. Let r | {
"pile_set_name": "DM Mathematics"
} |
rom {w: 2, b: 3, q: 3, z: 5}.
5/286
Three letters picked without replacement from {r: 1, w: 1, y: 2, p: 5}. Give prob of sequence yrp.
5/252
Calculate prob of sequence zb when two letters picked without replacement from {h: 1, z: 6, b: 4}.
12/55
Three letters picked without replacement from raawawarrwawrdwr. Give prob of sequence rra.
5/168
What is prob of sequence ggg when three letters picked without replacement from qgqgggqgqgqggg?
3/13
What is prob of sequence gmc when three letters picked without replacement from dgnymgccyggm?
2/165
What is prob of sequence qqr when three letters picked without replacement from qrqqqqr?
4/21
Three letters picked without replacement from {i: 3, l: 4}. Give prob of sequence iil.
4/35
What is prob of sequence oy when two letters picked without replacement from {i: 2, x: 3, o: 2, h: 4, y: 2}?
1/39
Calculate prob of sequence mm when two letters picked without replacement from mnmpmmmnmnmmnnn.
4/15
What is prob of sequence jlzw when four letters picked without replacement from wjljllzzjzv?
3/880
What is prob of sequence dbe when three letters picked without replacement from {d: 3, b: 1, r: 2, c: 1, e: 3, g: 1}?
1/110
Calculate prob of sequence yls when three letters picked without replacement from tslyt.
1/60
What is prob of sequence tk when two letters picked without replacement from {k: 11, t: 1}?
1/12
Calculate prob of sequence ccc when three letters picked without replacement from {c: 3, p: 3}.
1/20
What is prob of sequence fhf when three letters picked without replacement from hhfhhfhfhffffh?
7/52
Four letters picked without replacement from aqglowg. Give prob of sequence lggo.
1/420
Two letters picked without replacement from {j: 7, t: 5, z: 7}. Give prob of sequence tz.
35/342
Calculate prob of sequence ekgv when four letters picked without replacement from {m: 3, v: 6, k: 2, e: 1, g: 1}.
1/1430
Calculate prob of sequence lllj when four letters picked without replacement from llllllljjlllllllllll.
8/95
Four letters picked without replacement from nddlddpltildldnlntt. What is prob of sequence lpdl?
5/3876
What is prob of sequence byyc when four letters picked without replacement from beyceeypueebeeuey?
1/4760
Calculate prob of sequence wwrr when four letters picked without replacement from wbwrrrbrr.
5/378
Two letters picked without replacement from bbbjbbbjbjb. Give prob of sequence jj.
3/55
What is prob of sequence xk when two letters picked without replacement from {x: 3, m: 1, i: 1, k: 7}?
7/44
Four letters picked without replacement from ikkilili. What is prob of sequence klkl?
1/420
Three letters picked without replacement from clcculuccncncuc. What is prob of sequence ccl?
8/195
Calculate prob of sequence irk when three letters picked without replacement from iiirkfirwriwrwitriw.
35/5814
Two letters picked without replacement from {c: 4, a: 5, e: 2, n: 2, w: 1, x: 1}. What is prob of sequence ex?
1/105
Calculate prob of sequence hhu when three letters picked without replacement from {h: 3, u: 4}.
4/35
What is prob of sequence pp when two letters picked without replacement from pppppppppp?
1
What is prob of sequence pn when two letters picked without replacement from {n: 1, o: 13, p: 1}?
1/210
Calculate prob of sequence odr when three letters picked without replacement from ysdsoru.
1/210
What is prob of sequence wz when two letters picked without replacement from {z: 7, y: 2, j: 8, w: 2}?
7/171
Calculate prob of sequence td when two letters picked without replacement from {i: 2, d: 2, e: 2, t: 4, v: 4, c: 1}.
4/105
Four letters picked without replacement from vvvvvdvd. What is prob of sequence vdvv?
1/7
Calculate prob of sequence mww when three letters picked without replacement from {m: 2, w: 1}.
0
Calculate prob of sequence fyfy when four letters picked without replacement from nyqyxxxqymfmfyfyyy.
7/2040
Two letters picked without replacement from {z: 1, q: 1, k: 1}. What is prob of sequence qz?
1/6
What is prob of sequence lrlr when four letters picked without replacement from rlrrlrrrlrrr?
2/55
What is prob of sequence mhpd when four letters picked without replacement from {u: 6, p: 5, h: 3, d: 1, m: 2}?
1/1904
Calculate prob of sequence et when two letters picked without replacement from {t: 1, x: 1, e: 1, z: 2, k: 2}.
1/42
Three letters picked without replacement from eweegeweeeeggeef. Give prob of sequence eef.
3/112
Calculate prob of sequence rr when two letters picked without replacement from {r: 3, k: 1, g: 2, z: 2, j: 1, w: 3}.
1/22
What is prob of sequence ai when two letters picked without replacement from cigcaggaccaacccaa?
3/136
Four letters picked without replacement from {k: 2, x: 2, d: 2}. Give prob of sequence dxdx.
1/90
Calculate prob of sequence zuw when three letters picked without replacement from {e: 1, z: 1, m: 1, u: 4, w: 2}.
1/63
Three letters picked without replacement from {u: 3, f: 1, t: 4}. Give prob of sequence ttf.
1/28
What is prob of sequence en when two letters picked without replacement from {a: 5, n: 5, e: 4}?
10/91
Three letters picked without replacement from fnuggguugggggug. Give prob of sequence ggf.
12/455
Three letters picked without replacement from {a: 1, t: 1, k: 2, h: 1, v: 2}. Give prob of sequence vvk.
2/105
Two letters picked without replacement from {a: 3, d: 5}. Give prob of sequence da.
15/56
Four letters picked without replacement from iiojiiijioiijjp. Give prob of sequence ooji.
8/4095
Two letters picked without replacement from cwncrnn. Give prob of sequence rc.
1/21
Calculate prob of sequence meee when four letters picked without replacement from {n: 2, w: 3, m: 8, e: 4}.
2/595
Three letters picked without replacement from rqrrrrvvrqbq. Give prob of sequence brr.
1/44
Three letters picked without replacement from ontkokbfofnfk. Give prob of sequence tno.
1/286
What is prob of sequence wy when two letters picked without replacement from qwyxnqu?
1/42
What is prob of sequence eyy when three letters picked without replacement from eeyeyeeeeeeeeeeeeeey?
17/1140
Three letters picked without replacement from bfqbcfm. Give prob of sequence bcc.
0
Three letters picked without replacement from pvpvvooepvoovov. What is prob of sequence epv?
3/455
Calculate prob of sequence hhe when three letters picked without replacement from {q: 1, h: 13, e: 3}.
39/340
Four letters picked without replacement from {e: 1, l: 1, h: 13}. What is prob of sequence hehl?
1/210
What is prob of sequence khcl when four letters picked without replacement from {l: 1, c: 2, h: 2, j: 2, k: 3, e: 2}?
1/990
Two letters picked without replacement from ddddd. Give prob of sequence dd.
1
Three letters picked without replacement from iytyymtiitttiyty. What is prob of sequence ttm?
1/112
Calculate prob of sequence iodj when four letters picked without replacement from boiooodjjjmo.
1/792
What is prob of sequence fuuu when four letters picked without replacement from uuuuuuuuuuuf?
1/12
Two letters picked without replacement from {f: 10, e: 1, t: 3, b: 2, m: 3}. Give prob of sequence fe.
5/171
Three letters picked without replacement from {s: 2, b: 1}. Give prob of sequence bbb.
0
Three letters picked without replacement from itmuzie. What is prob of sequence zit?
1/105
Two letters picked without replacement from vbbv. What is prob of sequence vv?
1/6
What is prob of sequence wtwt when four letters picked without replacement from {t: 2, r: 1, w: 3, q: 1, s: 5}?
1/990
Calculate prob of sequence yuu when three letters picked without replacement from eyyyyyueueyy.
7/660
What is prob of sequence fgff when four letters picked without replacement from bgbgggfggffffbgfgf?
7/306
Calculate prob of sequence mmmi when four letters picked without replacement from miiimmmmmimmmmmmmm.
91/765
Three letters picked without replacement from {b: 1, z: 7, f: 1, c: 5, a: 4, k: 1}. What is prob of sequence acc?
40/2907
Two letters picked without replacement from rddtyrrykr. What is prob of sequence yk?
1/45
Calculate prob of sequence ft when two letters picked without replacement from {f: 1, d: 1, t: 1, n: 2, l: 1, v: 1}.
1/42
What is prob of sequence op when two letters picked without replacement from {p: 1, y: 1, o: 1}?
1/6
What is prob of sequence ss when two letters picked without replacement from ccs | {
"pile_set_name": "DM Mathematics"
} |
closest to -1/2? (a) -14 (b) -2/5 (c) -95
b
Which is the closest to 2/5? (a) -3/8 (b) -38 (c) 5 (d) 0.4
d
Which is the closest to -1/6? (a) 0.3 (b) -5 (c) -0.06
c
What is the closest to -2/7 in 10, 5, -6/7, -4?
-6/7
Which is the nearest to 17? (a) -4 (b) 0.17 (c) -2/9
b
What is the closest to -0.1 in 3, 2/13, -0.17, 4?
-0.17
What is the closest to -1/2 in -14, 20/17, 2/9, -0.4?
-0.4
What is the closest to 0 in 2, 4, 0.2?
0.2
What is the nearest to -26 in 3, 0.5, -3/5?
-3/5
Which is the nearest to 2/7? (a) 5 (b) -1/4 (c) 0.1 (d) -6
c
What is the nearest to 3/20 in -0.1, -3/4, -0.08?
-0.08
Which is the closest to -0.04? (a) 2/23 (b) 3 (c) -4
a
Which is the closest to -0.1? (a) 0.4 (b) -0.371 (c) -2
b
Which is the nearest to -2/3? (a) -0.2 (b) -4 (c) -6
a
Which is the nearest to -4? (a) -1/4 (b) 2/9 (c) 6/11 (d) 3
a
Which is the nearest to 0.1? (a) 1/2 (b) 0.2 (c) -595
b
What is the nearest to -2/5 in 2, -2/3, -1, 1/3?
-2/3
What is the nearest to -2/13 in -5, 4, -4, -0.06?
-0.06
What is the nearest to 12 in 6, -3, -0.5?
6
What is the nearest to -1 in 0.14, 5, -3, -0.5?
-0.5
Which is the closest to -6? (a) 3 (b) 4 (c) 1/16 (d) 0.1
c
Which is the closest to -2/5? (a) 4 (b) 3 (c) -0.3 (d) 13
c
Which is the closest to -1/3? (a) 0.3 (b) -0.253 (c) -1/5
b
What is the closest to 0.1 in 31, -2/5, 1/2?
1/2
What is the nearest to -3/5 in -44, 0.05, -4?
0.05
What is the nearest to 2/11 in 3, -4, 2/7, 4?
2/7
Which is the closest to -1/445? (a) 3/2 (b) -0.5 (c) 1 (d) 0.4
d
Which is the closest to 0.2? (a) 1/5 (b) 2 (c) 45/7
a
What is the closest to 0 in 6, -7, 2, -2/11?
-2/11
What is the nearest to -2 in 1/4, 3, -3?
-3
What is the closest to -2/7 in -8, 1, 2/3, 2/9?
2/9
Which is the closest to -0.1? (a) -1/6 (b) -8 (c) -9 (d) -2/5
a
Which is the closest to 0.4? (a) -4 (b) 1/25 (c) 3
b
What is the nearest to -0.1 in -1/3, 0.01, -0.04, -4?
-0.04
Which is the closest to 3? (a) 0.5 (b) -3/4 (c) 5 (d) 1/4
c
What is the nearest to -2 in 0, 0.53, -2/7, 0.2?
-2/7
What is the closest to -0.1 in -30, -18, 0.3?
0.3
What is the nearest to -7 in 79, 3/7, -2?
-2
Which is the nearest to 2? (a) 4/5 (b) -1 (c) 0.5 (d) -6
a
What is the nearest to -20 in -1/4, -0.1, 0.1?
-1/4
Which is the nearest to 0.1? (a) 1 (b) 0.1 (c) 0.2
b
Which is the nearest to 1/4? (a) -3 (b) 3 (c) -1.8 (d) 2/5
d
Which is the closest to -1/2? (a) 0.07 (b) 5 (c) -5 (d) -3
a
Which is the nearest to 0.4? (a) 73 (b) -4 (c) 0
c
Which is the closest to 0? (a) -1 (b) 4 (c) -7/2 (d) 0.4
d
Which is the closest to -0.4? (a) -5 (b) 5 (c) 0.2 (d) 4
c
Which is the closest to 2? (a) 2 (b) -0.04 (c) -0.1 (d) -3
a
What is the nearest to -2/5 in -0.06, 5/4, 3?
-0.06
What is the nearest to 14 in -4, 4, -5, 1/2?
4
What is the closest to 0.1 in -0.2, -0.8, 4, -3?
-0.2
Which is the closest to 0.2? (a) 2.6 (b) -1/2 (c) 2
b
Which is the closest to 0? (a) 1/4 (b) -12 (c) 2/5 (d) 0.08
d
Which is the closest to 2/5? (a) -4 (b) -4/3 (c) -3 (d) 5
b
Which is the closest to -4? (a) 1/29 (b) -3/7 (c) -0.1
b
Which is the closest to 0? (a) 1/4 (b) -3/5 (c) -128 (d) -3/2
a
Which is the closest to 1/4? (a) -2 (b) 0 (c) -1 (d) 9/2
b
Which is the nearest to 4/3? (a) -3/5 (b) 6 (c) 1
c
What is the closest to 1/3 in 0.2, 5, 4, 1?
0.2
What is the nearest to -4 in 0, 1, -0.04?
-0.04
What is the closest to -15 in 0.3, 5, -0.11, 0.5?
-0.11
Which is the nearest to -1? (a) 13 (b) 26 (c) -0.2 (d) 1/9
c
What is the nearest to -0.1 in -0.06, 1/8, 2/7?
-0.06
Which is the nearest to 0.1? (a) 5 (b) 0.2 (c) 2 (d) 31
b
What is the closest to 3 in -11, 2/19, 0, 1/5?
1/5
Which is the closest to -0.01? (a) 5 (b) -292 (c) -0.2
c
What is the closest to -0.1 in 0.1036, 3/2, 0.2?
0.1036
Which is the closest to 1? (a) -2 (b) -89 (c) -5 (d) -1
d
What is the closest to -65 in 1/11, -0.1, -1/9?
-1/9
Which is the nearest to -0.01? (a) -0.1 (b) 2/31 (c) 2/5
b
Which is the closest to 2/15? (a) -1 (b) -0.2 (c) 1 (d) 3
b
What is the closest to 232 in -2/7, -2, 4/7, 4?
4
What is the nearest to -1 in 8, 4, 3?
3
What is the nearest to -25 in 0.5, 3, 93?
0.5
What is the closest to 2 in 0.02, -5, -3/2, 2/21?
2/21
Which is the closest to -1? (a) -0.3 (b) -4 (c) 1/1064
a
Which is the closest to -1? (a) 0.6 (b) -2/3 (c) 2/13
b
What is the nearest to 119 in -4, 2, 3/2?
2
What is the nearest to -2 in -1/7, 1/7, 0.34, -7?
-1/7
What is the closest to 3 in -0.7, 0.02, 5, -1/2?
5
What is the nearest to 5/3 in 1/4, -0.2, 5, 2?
2
What is the nearest to -34 in -0.4, -1, -4, 2?
-4
Which is the closest to -0.1? (a) 422 (b) 1/7 (c) 1/9
c
Which is the closest to 3/26? (a) 0.1 (b) -38 (c) 0.4
a
Which is the nearest to -29? (a) 2 (b) -1/3 (c) -1
c
Which is the nearest to -2? (a) -2 (b) -3 (c) -0.2 (d) -0.3
a
Which is the closest to 1/9? (a) -0.8 (b) -4 (c) 1/3
c
Which is the nearest to -2/5? (a) -21 (b) 2/7 (c) -5 (d) -4
b
What is the nearest to 1/2 in 5, -58, 2/5?
2/5
Which is the closest to 0? (a) -0.028 (b) 0.1 (c) -2
a
Which is the nearest to 1/4? (a) 0 (b) 4 (c) -0.2 (d) 3
a
What is the nearest to -10/3 in 3, 9, 2/3?
2/3
Which is the nearest to -0.1? (a) -1 (b) -1/4 (c) -1/2
b
What is the closest to 0 in -0.8, -1/8, 1.35?
-1/8
What is the nearest to 3 in 0.1, 3, -2/13, 3/5?
3
What is the nearest to -1 in -5, 1, 3/5?
3/5
What is the closest to 2.6 in 6, -5, -1/3, -0.4?
-1/3
What is the closest to 0.1 in -4/11, -0.3, 6/5?
-0.3
What is the nearest to 2/3 in -6/13, 4, -2/9?
-2/9
Which is the nearest to -2? (a) 5 (b) 2/3 (c) 12
b
What is the closest to -2 in 5/4, 0.8, 2.2, 2?
0.8
What is the nearest to -11/3 in -2/3, 2/5, -1/3, 7?
-2/3
What is the closest to 0 in 3, 4, -0.5, -1?
-0.5
What is the closest to -25/3 in 2/11, -4, 10, -2?
-4
Which is the closest to -1/2? (a) 0.5 (b) -1 (c) -2418 (d) -2/17
d
Which is the closest to -31? (a) 2/3 (b) -1 (c) 0.3 (d) -3/14
b
Which is the closest to -6? (a) -5 (b) -1/79 (c) 0.4 (d) 1/2
a
Which is the nearest to 1/2? (a) -1 (b) 4 (c) 0.07
c
What is the closest to -1 in -15/4, -0.5, 1.3?
-0.5
Which is the nearest to 4? (a) -3 (b) 3 (c) -7/6 (d) 2
b
Which is the closest to -0.016? (a) -2/3 (b) -0.3 (c) -3 (d) -2/7
d
Which is the nearest to 2? (a) -0.26 (b) -7 (c) -3
a
Which is the closest to 0.3? (a) -2/15 (b) 1/5 (c) -0.4
b
What is the closest to -0.006 in -2, -0.1, 0.66, -0.3?
-0.1
What is the nearest to 1/2 in 1, -4, -318, -2/9?
1
Which is the closest to -3? (a) 0.2 (b) -2 (c) -0.3 (d) -3
d
Which is the nearest to 2/5? (a) 1 (b) 3 (c) 2/21 (d) -1/3
c
What is the closest to -1/3 in 15/7, -2, 5?
-2
Which is the closest to 0? (a) 0 (b) 23 (c) 14 (d) 1/2
a
Which is the closest to 2? (a) 3 (b) -1 (c) -2/47 (d) 2/9
a
What is the nearest to 1 in 4, 3, -5, -3/5?
-3/5
What is the nearest to -5.5 in 0, 2, -0.9?
-0.9
What is the nearest to -2 in 1, -0.6, 1/6?
-0.6
Which is the nearest to -0.014? (a) -1/3 (b) 90 (c) -4
a
What is the closest to 0 in 0.1, -1/4, 0.5, -11.5?
0.1
What is the closest to -0.2 in -1/4, 2/25, 2/13, -1/7?
-1/4
What is the closest to 3/11 in 0.01, 4, 5, 2/15?
2/15
Which is the nearest to 1? (a) 3 (b) 0.11 (c) -0.4 (d) 0.1
b
What is the closest to -0.1 in 4, 1/33, 1/3, 0?
0
Which is the nearest to -5? (a) 5 (b) -5/4 (c) 2 (d) -0.5
b
What is the closest to 0.01 in -11, -3/2, -0.5, -0.2?
-0.2
Which is the closest to -0.4? (a) -0.3 (b) -3 (c) -2/7 (d) 0.23
a
Which is the closest to 0? (a) -0.5 (b) -0.4 (c) 1/5 (d) 70
c
What is the nearest to -205 in 3/8, 2, 0.4, 1?
3/8
What is the nearest to 1 in 6, -1, -1/3?
-1/3
Which is the nearest to 0.6? (a) 5/2 (b) 1/11 (c) -5
b
Which is the closest to -1? (a) 5 (b) 5/6 (c) -0.08 (d) -3/8
d
What is the nearest to 1 in 394, 4, -2/11, -0.2?
-2/11
What is the nearest to 0.3 in 0.1, -5, -0.09, 1/8?
1/8
What is the closest to 0 in 0.1, -1, 4?
0.1
What is the nearest to 0 in 2/5, -2/11, -0.7, -1/4?
-2/11
Which is the closest to -0.1? (a) -13 (b) 0 (c) 1/5 (d) -0.055
d
Which is the nearest to -1? (a) -0.2 (b) 5 (c) 4 (d) -0.1
a
Which is the closest to -2/3? (a) -2/5 (b) 0.3 (c) -1/94
a
Which is the nearest to 2? (a) -0.4 (b) -2/3 (c) 1 (d) -0.1
c
What | {
"pile_set_name": "DM Mathematics"
} |
7, to the nearest integer?
4
What is 17095 to the power of 1/7, to the nearest integer?
4
What is the third root of 187 to the nearest integer?
6
What is the square root of 2589 to the nearest integer?
51
What is 10331 to the power of 1/2, to the nearest integer?
102
What is the sixth root of 14756 to the nearest integer?
5
What is 102 to the power of 1/7, to the nearest integer?
2
What is the square root of 97011 to the nearest integer?
311
What is the tenth root of 21395 to the nearest integer?
3
What is 22944 to the power of 1/8, to the nearest integer?
4
What is 20096 to the power of 1/3, to the nearest integer?
27
What is 1931 to the power of 1/7, to the nearest integer?
3
What is the cube root of 4088 to the nearest integer?
16
What is the third root of 7164 to the nearest integer?
19
What is the third root of 3036 to the nearest integer?
14
What is the fifth root of 22787 to the nearest integer?
7
What is 15399 to the power of 1/9, to the nearest integer?
3
What is the square root of 17019 to the nearest integer?
130
What is the square root of 23009 to the nearest integer?
152
What is the third root of 41266 to the nearest integer?
35
What is 81517 to the power of 1/6, to the nearest integer?
7
What is the tenth root of 70414 to the nearest integer?
3
What is the square root of 12118 to the nearest integer?
110
What is the cube root of 1964 to the nearest integer?
13
What is the cube root of 906 to the nearest integer?
10
What is the cube root of 2656 to the nearest integer?
14
What is 2167 to the power of 1/2, to the nearest integer?
47
What is the fifth root of 12694 to the nearest integer?
7
What is 58527 to the power of 1/4, to the nearest integer?
16
What is the third root of 174 to the nearest integer?
6
What is 382 to the power of 1/9, to the nearest integer?
2
What is the third root of 6452 to the nearest integer?
19
What is 1048 to the power of 1/3, to the nearest integer?
10
What is the cube root of 49786 to the nearest integer?
37
What is the eighth root of 13096 to the nearest integer?
3
What is 16314 to the power of 1/2, to the nearest integer?
128
What is the eighth root of 20693 to the nearest integer?
3
What is 34889 to the power of 1/3, to the nearest integer?
33
What is 24588 to the power of 1/5, to the nearest integer?
8
What is 33481 to the power of 1/3, to the nearest integer?
32
What is 14421 to the power of 1/7, to the nearest integer?
4
What is the third root of 613 to the nearest integer?
8
What is 485 to the power of 1/7, to the nearest integer?
2
What is 2917 to the power of 1/9, to the nearest integer?
2
What is 19948 to the power of 1/2, to the nearest integer?
141
What is the square root of 20257 to the nearest integer?
142
What is the third root of 11550 to the nearest integer?
23
What is 8132 to the power of 1/8, to the nearest integer?
3
What is the eighth root of 33822 to the nearest integer?
4
What is 16483 to the power of 1/9, to the nearest integer?
3
What is the square root of 5048 to the nearest integer?
71
What is 5075 to the power of 1/3, to the nearest integer?
17
What is the seventh root of 13791 to the nearest integer?
4
What is 1406 to the power of 1/3, to the nearest integer?
11
What is the sixth root of 89258 to the nearest integer?
7
What is 11734 to the power of 1/2, to the nearest integer?
108
What is 1007 to the power of 1/8, to the nearest integer?
2
What is 3622 to the power of 1/8, to the nearest integer?
3
What is the fifth root of 51177 to the nearest integer?
9
What is 6051 to the power of 1/10, to the nearest integer?
2
What is 616 to the power of 1/10, to the nearest integer?
2
What is the fifth root of 19783 to the nearest integer?
7
What is the square root of 1664 to the nearest integer?
41
What is 26863 to the power of 1/3, to the nearest integer?
30
What is the eighth root of 3645 to the nearest integer?
3
What is 60101 to the power of 1/2, to the nearest integer?
245
What is the square root of 15162 to the nearest integer?
123
What is 2417 to the power of 1/2, to the nearest integer?
49
What is the sixth root of 30668 to the nearest integer?
6
What is 29594 to the power of 1/2, to the nearest integer?
172
What is 70803 to the power of 1/8, to the nearest integer?
4
What is the eighth root of 6121 to the nearest integer?
3
What is the cube root of 2325 to the nearest integer?
13
What is the seventh root of 165860 to the nearest integer?
6
What is the square root of 4174 to the nearest integer?
65
What is 467 to the power of 1/2, to the nearest integer?
22
What is 47986 to the power of 1/5, to the nearest integer?
9
What is 10 to the power of 1/5, to the nearest integer?
2
What is 1473 to the power of 1/2, to the nearest integer?
38
What is the square root of 30226 to the nearest integer?
174
What is 808 to the power of 1/3, to the nearest integer?
9
What is 592 to the power of 1/2, to the nearest integer?
24
What is 6758 to the power of 1/5, to the nearest integer?
6
What is 2483 to the power of 1/7, to the nearest integer?
3
What is the third root of 1139 to the nearest integer?
10
What is the ninth root of 143094 to the nearest integer?
4
What is the square root of 2280 to the nearest integer?
48
What is 512 to the power of 1/2, to the nearest integer?
23
What is the square root of 136785 to the nearest integer?
370
What is the cube root of 7925 to the nearest integer?
20
What is the third root of 648 to the nearest integer?
9
What is 11 to the power of 1/3, to the nearest integer?
2
What is 12003 to the power of 1/3, to the nearest integer?
23
What is the cube root of 1879 to the nearest integer?
12
What is 669 to the power of 1/2, to the nearest integer?
26
What is the eighth root of 1099 to the nearest integer?
2
What is 13957 to the power of 1/10, to the nearest integer?
3
What is 14183 to the power of 1/4, to the nearest integer?
11
What is 33034 to the power of 1/3, to the nearest integer?
32
What is 5592 to the power of 1/5, to the nearest integer?
6
What is the square root of 1765 to the nearest integer?
42
What is 1231 to the power of 1/3, to the nearest integer?
11
What is 7051 to the power of 1/7, to the nearest integer?
4
What is the third root of 879 to the nearest integer?
10
What is 715 to the power of 1/8, to the nearest integer?
2
What is 56 to the power of 1/7, to the nearest integer?
2
What is 14703 to the power of 1/3, to the nearest integer?
24
What is the ninth root of 1592 to the nearest integer?
2
What is the cube root of 8394 to the nearest integer?
20
What is the square root of 18506 to the nearest integer?
136
What is 2808 to the power of 1/4, to the nearest integer?
7
What is 16545 to the power of 1/10, to the nearest integer?
3
What is 171 to the power of 1/2, to the nearest integer?
13
What is 22771 to the power of 1/6, to the nearest integer?
5
What is the fourth root of 1274 to the nearest integer?
6
What is the fourth root of 5510 to the nearest integer?
9
What is 1044 to the power of 1/7, to the nearest integer?
3
What is 127660 to the power of 1/10, to the nearest integer?
3
What is 63397 to the power of 1/8, to the nearest integer?
4
What is the cube root of 5856 to the nearest integer?
18
What is 12628 to the power of 1/2, to the nearest integer?
112
What is the third root of 22241 to the nearest integer?
28
What is the sixth root of 22898 to the nearest integer?
5
What is 15923 to the power of 1/3, to the nearest integer?
25
What is 42697 to the power of 1/6, to the nearest integer?
6
What is 2478 to the power of 1/3, to the nearest integer?
14
What is the square root of 30493 to the nearest integer?
175
What is 27927 to the power of 1/2, to the nearest integer?
167
What is 43665 to the power of 1/10, to the nearest integer?
3
What is the square root of 4250 to the nearest integer?
65
What is 41495 to the power of 1/2, to the nearest integer?
204
What is the ninth root of 90303 to the nearest integer?
4
What is the sixth root of 9310 to the nearest integer?
5
What is 12607 to the power of 1/7, to the nearest integer?
4
What is 2600 to the power of 1/3, to the nearest integer?
14
What is 3442 to the power of 1/2, to the nearest integer?
59
What is 3916 to the power of 1/2, to the nearest integer?
63
What is the eighth root of 802 t | {
"pile_set_name": "DM Mathematics"
} |
- 2 + 2 + 273*z**2.
-z**2
Collect the terms in 334*r**3 - 1007*r**3 + 338*r**3 + 337*r**3.
2*r**3
Collect the terms in 691*c - 93*c + 746*c.
1344*c
Collect the terms in -16*g**2 + g**3 - 3*g**2 + 19*g**2.
g**3
Collect the terms in 249*b**3 - 251*b**3 - 2 + 2.
-2*b**3
Collect the terms in 238*l - 435*l + 199*l.
2*l
Collect the terms in 143*w - 64*w + 301*w.
380*w
Collect the terms in -481*z**3 - 5*z**2 - 5*z**2 + 10*z**2.
-481*z**3
Collect the terms in -5 - 3 - 5*b + 9*b.
4*b - 8
Collect the terms in -31*o + 93 + 60*o - 93 - 30*o.
-o
Collect the terms in -10 + 19 - 9 + 25*q.
25*q
Collect the terms in -17*m - 1 + 8*m - 23*m - m.
-33*m - 1
Collect the terms in 90*u**3 + 43*u**3 + 5*u**2 + 30*u**3 - 3*u**2.
163*u**3 + 2*u**2
Collect the terms in -5*q - 87 + 2*q + 75.
-3*q - 12
Collect the terms in 11 - 11 + 17*p.
17*p
Collect the terms in -i**2 - 42*i + 42*i.
-i**2
Collect the terms in -13*u**2 - 9*u**2 + 5*u**2 + u**2.
-16*u**2
Collect the terms in 16*h - 53 + 53.
16*h
Collect the terms in -6*c**2 + 12*c**3 + 8*c**3 + 6*c**2.
20*c**3
Collect the terms in -39*z**2 + 14*z**2 + 12*z**2 + 8*z**2.
-5*z**2
Collect the terms in -58*f**2 - 68*f**2 + 129*f**2.
3*f**2
Collect the terms in -6*p - 7 - 6*p - 33*p.
-45*p - 7
Collect the terms in h**3 - 24*h**3 + 6*h**3 - 12*h**3.
-29*h**3
Collect the terms in 27*w - 45*w + 22*w.
4*w
Collect the terms in 14*b**2 - 24*b**2 - 6*b**2.
-16*b**2
Collect the terms in -8*a**2 + 2*a**3 - 2*a**3 + 8*a**3.
8*a**3 - 8*a**2
Collect the terms in 18 + 4 - 22 + 3*b.
3*b
Collect the terms in 42*x**3 + 4*x - 4*x.
42*x**3
Collect the terms in 16*x**3 - 2574 + 2574.
16*x**3
Collect the terms in 63*y**3 - 38*y**3 - 23*y**3.
2*y**3
Collect the terms in 484*o**2 - 969*o**2 + 480*o**2.
-5*o**2
Collect the terms in 27*t - 17*t - 5*t.
5*t
Collect the terms in 686 - 686 + 11*u.
11*u
Collect the terms in -4*l**2 - 22*l**2 - 2*l**2.
-28*l**2
Collect the terms in -21*t - 74*t**3 + 75*t**3 - 11*t - 2*t.
t**3 - 34*t
Collect the terms in -8 + 8 - 2219*i**2 + 2218*i**2.
-i**2
Collect the terms in d**3 + 114*d**3 - 5*d**3.
110*d**3
Collect the terms in -2 - 6*c**2 - 37*c**2 + 2.
-43*c**2
Collect the terms in 0*u**2 - 5*u**2 + 3*u**2.
-2*u**2
Collect the terms in -12*m**2 + 11*m**2 - 6*m**2.
-7*m**2
Collect the terms in 1971 - 986 + p**2 - 985.
p**2
Collect the terms in w - w + 1441*w**2 - 1446*w**2.
-5*w**2
Collect the terms in 13*i**2 - 2 + 2 + 4 - 2.
13*i**2 + 2
Collect the terms in -92*o + 7*o**2 + 30*o - 6*o**2.
o**2 - 62*o
Collect the terms in n + 8*n - 12*n + 69*n + 3*n**2.
3*n**2 + 66*n
Collect the terms in 71*s + 349*s + 220*s - 38*s.
602*s
Collect the terms in -4*t + 43*t**3 + 4*t + 2*t.
43*t**3 + 2*t
Collect the terms in 1405*o**2 - 700*o**2 - 701*o**2.
4*o**2
Collect the terms in 65*i - 36*i - 25*i.
4*i
Collect the terms in 127*c + 121*c - 372*c + 3*c**2 + 124*c.
3*c**2
Collect the terms in 251510*c**2 + 0 - 1 - 251513*c**2 + 1.
-3*c**2
Collect the terms in -12 - 88*i + 13*i + 28 - 17.
-75*i - 1
Collect the terms in 81*s + 19*s**3 - 81*s - 17*s**3.
2*s**3
Collect the terms in -42*c + 8 + 14*c - 10.
-28*c - 2
Collect the terms in 13*m - 210*m + 10*m.
-187*m
Collect the terms in 73*s - 105*s - 132*s - 45*s.
-209*s
Collect the terms in -18 + 10 + 8 + 2*c**2.
2*c**2
Collect the terms in 4*i + 0*i - 22*i + 16*i - 2*i.
-4*i
Collect the terms in 4*g + 0*g + 7*g.
11*g
Collect the terms in -47*p**3 - 12*p**3 - 29*p**3.
-88*p**3
Collect the terms in -6 - 86*x + 4 + 2.
-86*x
Collect the terms in -18*m**2 - 2*m**2 - 2*m**2 + 5*m**2.
-17*m**2
Collect the terms in 141*j + 163*j - 287*j.
17*j
Collect the terms in -12 - 11 + 2 + 12 + 9 - 2*z.
-2*z
Collect the terms in 237*x**2 - 121*x**2 - 119*x**2.
-3*x**2
Collect the terms in -l - 209*l**3 + 214*l**3 + l.
5*l**3
Collect the terms in -3*i**3 - 2*i**3 - i**3 - 10*i**3.
-16*i**3
Collect the terms in -16*c - 25*c + 43*c.
2*c
Collect the terms in 3*g**3 + 10*g**3 - g**3 + 0*g**3.
12*g**3
Collect the terms in 38*p**3 + 1512*p - 1512*p.
38*p**3
Collect the terms in -5 + 85*d**3 + 3*d - 2*d - 2*d.
85*d**3 - d - 5
Collect the terms in -140 + 140 + 3*x**2.
3*x**2
Collect the terms in -9*u - 11*u - 22*u + u.
-41*u
Collect the terms in -3*q**3 + q - q.
-3*q**3
Collect the terms in 0*r + 1 - 73*r**2 + 2*r - 2*r.
-73*r**2 + 1
Collect the terms in -2*s + 33 - 61 + 28.
-2*s
Collect the terms in 82*d**2 + 4*d - 4*d - 105*d**2.
-23*d**2
Collect the terms in 0*s**2 - s**2 - 8*s**3 + 4*s**3 + 0*s**2.
-4*s**3 - s**2
Collect the terms in -7*m**2 - 12*m**2 + 13*m**2.
-6*m**2
Collect the terms in 100*m - 7*m**3 + 570*m**2 - 570*m**2 - 100*m.
-7*m**3
Collect the terms in 8*d**2 - 6*d**2 + 6*d**2.
8*d**2
Collect the terms in 3*l**2 - 11*l**2 + 39*l**2.
31*l**2
Collect the terms in -384 + a**3 + 3*a**3 + 765 - 381.
4*a**3
Collect the terms in 35*o**3 - 61*o**3 + 27*o**3.
o**3
Collect the terms in 0*l**2 - 7*l**2 - 35*l**2.
-42*l**2
Collect the terms in 9*g**3 + 35111 - 35111.
9*g**3
Collect the terms in -455*s**2 + 455*s**2 + 3*s**3.
3*s**3
Collect the terms in -2 + 0 + 0 - 1479*g.
-1479*g - 2
Collect the terms in 37 - 37 + 44*i - 4*i.
40*i
Collect the terms in 65*r**2 - 43*r + 43*r.
65*r**2
Collect the terms in 19 + 39*f - 19 + 69*f.
108*f
Collect the terms in 10*n**2 + 22*n**2 - 11*n**2 - 13*n**2.
8*n**2
Collect the terms in 2*c + 4*c - c - c.
4*c
Collect the terms in -3*d**2 + 7*d - 1 - 2 + 3.
-3*d**2 + 7*d
Collect the terms in 4*x + 16*x + 11*x + 14*x.
45*x
Collect the terms in -2*b - 3*b + 5*b + 13*b.
13*b
Collect the terms in -25019*k + 25019*k - 2*k**3.
-2*k**3
Collect the terms in -129 - 71 - 2*x**3 + 200.
-2*x**3
Collect the terms in -427*s**2 - 424*s**2 + 852*s**2.
s**2
Collect the terms in 50*m**3 + 24*m**3 - 96*m**3 + 24*m**3.
2*m**3
Collect the terms in -32*v**2 + 11*v**2 - 18*v**2 - 5*v**2.
-44*v**2
Collect the terms in 40*c**2 + 10*c**2 + 2*c**3 - 27*c**2.
2*c**3 + 23*c**2
Collect the terms in 189 - 189 + 51*c.
51*c
Collect the terms in -16*v - 32*v + 2 - 3.
-48*v - 1
Collect the terms in -i**2 - 19*i**3 + 7*i**3 + 14*i**3 + i**2.
2*i**3
Collect the terms in 16*o**3 + 205 + 12*o**3 - 205.
28*o**3
Collect the terms in -30*m + 14*m + 16*m + 4*m**2.
4*m**2
Collect the terms in -50*u + 147*u - 53*u - 46*u.
-2*u
Collect the terms in -203931*d + 2*d**2 + 203931*d.
2*d**2
Collect the terms in 553*r - 2*r**2 - 553*r.
-2*r**2
Collect the terms in -518*a - 484*a + 1003*a.
a
Collect the terms in -15*c**2 + 76*c**2 - 4*c**2 - 20*c**2.
37*c**2
Collect the terms in 2*h - 453*h**2 - 2*h.
-453*h**2
Collect the terms in -7*b**2 - 217 + 653 - 221 - 215.
-7*b**2
Collect the terms in 2*n**3 + n**3 - 4*n**3 + 3*n**3.
2*n**3
Collect the terms in l - l + 5*l + 3*l.
8*l
Collect the terms in -k**3 + 5*k**3 - 513*k**2 + 513*k**2.
4*k**3
Collect the terms in 107 - 107 + 4*q**2.
4*q**2
Collect the terms in -9725*o**2 - 3 + 9728*o**2 + 3.
3*o**2
Collect the terms in 6*k - 3*k + 32*k**2 - 1 - 3*k.
32*k**2 - 1
Collect the terms in 4*g**2 - g**2 - g**2 - 6*g**2.
-4*g**2
Collect the terms in 6*i**3 + 17 - 4*i**2 - 17.
6*i**3 - 4*i**2
Collect the terms in 93*u - 2 + 2 - 38*u.
55*u
Collect the terms in -v**3 + 524*v**2 - 524*v**2.
-v**3
Collect the terms in -3*g**3 - 12*g**3 - 25*g**3 - 13*g**3.
-53*g**3
Collect the terms in -131*i**2 + 47*i**2 + 45*i**2 + 41*i**2.
2*i**2
Collect the terms in -t + 12*t - 3*t.
8*t
Collect the terms in 81*s**2 - 1 - 86*s**2 + 1.
-5*s**2
Collect the terms in -4*l**2 + 3*l**3 - 109 + 4*l**2.
3*l**3 - 109
Collect the terms in -56*b + 126*b + 0 + 0 - 67*b.
3*b
Collect the terms in 0*s + 0*s + s**2 - 7*s + 7*s.
s**2
Collect the terms in -15558*r**2 - 3*r**3 + 15558*r**2.
-3*r**3
Collect the terms in 156*s**2 - s + s - 83*s**2.
73*s**2
Collect the terms in 10*h - 5*h + 2*h.
7*h
Collect the terms in 3*t**3 - 15*t**2 + 6*t**2 + 9*t**2.
3*t**3
Collect the terms in -13*p**3 + 2*p**3 - 6*p**3.
-17*p**3
Collect the terms in 32*m**2 + 33*m**2 - 74*m**2.
-9*m**2
Collect the terms in -11642*a - a**3 + 11642*a.
-a**3
Collect the terms in 0*c - 5*c + c**3 - 12*c.
c**3 - 17*c
Collect the terms in 0*g + 0*g + 4*g - 5*g.
-g
Collect the terms in 25*v - 13*v - 12*v - 8*v**3.
-8*v**3
Collect the terms in 3*x**3 + 0*x**3 - 7*x**3.
-4*x**3
Collect the terms in -10*k**2 - 3*k**2 - k**2.
-14*k**2
Collect the terms in -12*b**3 - 4*b** | {
"pile_set_name": "DM Mathematics"
} |
- 15/5). Let h = 1291 + -1280. What is the highest common divisor of b and h?
1
Suppose o + 91 + 48 = 0. Let w = 146 + o. Calculate the highest common factor of 238 and w.
7
Suppose 0*t + 1575 = 5*t. Suppose 5*f = -0*f + t. Suppose 2*y - 4*l = 96, -l - 57 = -5*y + 156. What is the highest common divisor of y and f?
21
Let f be 25/3*(-69495)/(-1025). What is the highest common divisor of 10 and f?
5
Suppose 2*j - 680 = -2*n, 6*n - 684 = 4*n - 3*j. Let r = n + -35. What is the highest common factor of r and 7?
7
Let h = -7755 + 12285. Calculate the highest common divisor of 60 and h.
30
Let y(m) = -45*m**2 - 360*m + 42. Let t be y(-8). What is the greatest common factor of t and 434?
14
Let z = -102 - -105. Let w(r) = 6 + r**3 + 4*r - 6*r**2 + z + 4*r + 2. Let t be w(5). Calculate the greatest common divisor of 26 and t.
26
Let t = -270 + 272. Suppose 5*d - 849 = t*h, 67*d = 64*d - h + 516. Let j(k) = -k**3 + 1. Let w be j(-2). Calculate the highest common divisor of w and d.
9
Let p be (-9)/27*3 - (-73 - 0). Let t = p - 30. Calculate the greatest common factor of 63 and t.
21
Let i = 1337 + -54. Suppose 3*j = -2*g + 962, 4*j + 2*g + g = i. What is the greatest common factor of j and 64?
64
Let k(q) = -q**2 - 206*q + 156. Let w be k(0). What is the highest common divisor of w and 78?
78
Let d = 1237 + -1184. Suppose 0 = 8*c - 12*c + 4*v - 8, 6 = 2*v. What is the greatest common divisor of c and d?
1
Let j = 214327 + -214319. Let p = 70 - -22. Calculate the highest common factor of p and j.
4
Let m = -22 - -30. Suppose -m*o - 44 = -12*o. Suppose -o = -3*w + 34. Calculate the highest common divisor of 105 and w.
15
Let j(q) = 21*q**3 - q**2 - 3*q - 9. Let m be j(-2). Let b = -142 - m. Calculate the highest common factor of 9 and b.
3
Suppose 72 + 152 = 7*m. Suppose 16 = 5*g + 2*p - m, 12 = 3*p. Calculate the highest common factor of 40 and g.
8
Suppose 6*a - 308 = -8*a + 476. What is the greatest common divisor of a and 88?
8
Let s(n) = -53*n - 773. Let b be s(-17). Calculate the greatest common factor of b and 6176.
32
Suppose -103*h = -71*h - 10752. Calculate the highest common divisor of 39 and h.
3
Let r = 101 + -223. Let p = r - -275. Let m(s) = 2*s**2 - 12*s + 3. Let f be m(7). Calculate the highest common divisor of p and f.
17
Let z be 6048 + ((-14)/(-10))/(2/40*-4). Calculate the highest common factor of 35 and z.
7
Suppose 5 = -4*u + 17, -3*o - u - 129 = 0. Let y = o - -43. Let v be y/((-4)/(-4)) - (-1 + -14). What is the highest common divisor of 21 and v?
7
Let p be 57/133 + (-368)/(-7). What is the highest common factor of p and 1961?
53
Suppose -5*v = -9*v - 580. Let o = v + 271. Let l be (72/o)/(2/7). What is the highest common divisor of 16 and l?
2
Let y(j) = 3*j + 75 + 20 + 78 - 24 - j**2 + 54. Let n be y(0). What is the greatest common factor of n and 29?
29
Let g = 3426 - 3342. What is the highest common divisor of g and 21?
21
Let m(s) = -s**2 + 10*s + 28. Let b be m(12). Let w be -1*b/((-8)/(-1))*-4. Suppose 0 = -w*x + 12*x - 190. What is the greatest common divisor of x and 152?
19
Let v = -5152 - -5325. What is the greatest common factor of 4 and v?
1
Suppose 257*h - 2*w = 261*h - 1980, w + 2475 = 5*h. Calculate the greatest common factor of h and 3795.
165
Let r be 0*(33/6 + -5). Suppose r*u + 72 = 12*u. Let p(v) = 2*v**3 - 5*v**2 + 5*v - 2. Let n be p(2). Calculate the greatest common factor of n and u.
2
Let z = -5 - -10. Suppose -4*b + 1 = -0*l - l, 0 = -l - z*b + 44. Let i = -1177 + 1215. What is the greatest common factor of i and l?
19
Let h(k) = -k**2 + 2*k + 80. Let r be h(-19). Let z = r - -464. Calculate the highest common divisor of z and 29.
29
Suppose -46*v + 4110 = -13140. Calculate the highest common factor of v and 9875.
125
Let g(m) = -50*m**3 + 4*m**2 + 70*m + 331. Let i be g(-6). Calculate the highest common factor of i and 13.
13
Suppose 0 = -35*w + 320410 - 81115. Calculate the greatest common divisor of 43 and w.
43
Suppose -i + 431 = 3*m, -309 = 6*m - 8*m - 5*i. Suppose -4*y + 9*y - 4*q = m, -y = -4*q - 22. What is the highest common divisor of 570 and y?
30
Let s(q) = q**3 - 116*q**2 - 601*q - 108. Let d be s(121). What is the greatest common divisor of 47 and d?
47
Let r = -171 - 10. Let b = r - -225. Calculate the greatest common factor of 154 and b.
22
Suppose 106*o = 64*o - 13*o + 44330. Calculate the highest common factor of o and 442.
26
Suppose 0 = -5*g + 4*y + 227364, 5*g - 188594 = 3*y + 38769. What is the highest common divisor of 58 and g?
58
Suppose 64 = 2*y - 56. Let r = -15889 - -15925. What is the greatest common divisor of r and y?
12
Let a be ((-2)/6)/((-1)/12). Let h be (a - -22) + 2 + -1. Let p = -484 - -487. What is the greatest common divisor of h and p?
3
Let f = -10 - -52. Suppose -1722 = -7*s + 630. Calculate the greatest common divisor of s and f.
42
Let c be (1 + 5)*(1484/84)/1. Calculate the greatest common divisor of 6625 and c.
53
Suppose 5*q - 12 - 8 = 0. Let f be (-1)/((-1)/8)*(-3)/q. Let h(t) = t + 20. Let o be h(f). Calculate the greatest common divisor of o and 70.
14
Suppose -15*m = -17*m + 36. Let r(u) = -7 + 4 - 13*u - 35*u. Let k be r(-1). Calculate the highest common divisor of k and m.
9
Suppose 19*p - 9*p + 3860 = 0. Let l = p + 424. Let u(a) = 3*a**2 + 3*a + 5. Let v be u(5). What is the highest common factor of l and v?
19
Let n = -33 + 720. Let m = n + -592. What is the greatest common divisor of m and 20?
5
Let j = 975 - 695. What is the greatest common divisor of 112 and j?
56
Let q(l) = -30*l - 616. Let r be q(-22). What is the greatest common divisor of 396 and r?
44
Let j be -5 - 1 - (-9 + -141). Let v = j + -136. What is the greatest common divisor of v and 352?
8
Suppose -20 = 4*c, 0 = -u + 3*c - 6*c + 70. Let r = 20 + u. What is the greatest common divisor of r and 15?
15
Let j be (60/(-8))/(6/(-464)). Let l = j + -544. Calculate the greatest common divisor of 48 and l.
12
Let x = -20541 - -25348. Calculate the highest common factor of 133 and x.
19
Let t be (-45472)/490*(-5)/2. Calculate the highest common factor of t and 1048.
8
Suppose 5328 = 4*s + 4*s. Suppose 3*p = w - 327, s = 9*w - 7*w - 2*p. What is the greatest common divisor of 48 and w?
48
Let x(v) = 3*v**2 + 327*v + 1614. Let g be x(-5). Let j(h) = 7*h - 3. Let b be j(3). Suppose -9*c - b = -10*c. Calculate the highest common factor of c and g.
18
Let h = 2896 + -2880. Let f(g) = 2*g - 10. Let r be f(9). Calculate the greatest common factor of r and h.
8
Let a(g) = -2*g**2 - 16*g - 14. Let x be a(-10). Let y = -22 + 25. Let k be x/12*(y - 9). What is the greatest common factor of k and 3?
3
Let m(b) = -73 - 34 + 7*b - 101. Let i be m(30). What is the highest common divisor of i and 64?
2
Let a be 4/5*(21 - 6). Calculate the highest common divisor of a and 4116.
12
Let v = 51 - 11. Let t(u) = -v + 0*u**2 + 11 - 3 + 8*u**2. Let c be t(-5). What is the highest common factor of 28 and c?
28
Let a = 331 - 110. Let m(z) = -3*z**3 + 52*z**2 - 28*z + 200. Let j be m(17). What is the highest common factor of a and j?
13
Let h be (-6)/(-36)*-6*-182. Let o = 19 + -10. Let a(r) = r**3 - 8*r**2 - 8*r + 5. Let q be a(o). What is the greatest common factor of h and q?
14
Suppose -t + 10 = 2*l, 4*l - t + 0*t - 20 = 0. Suppose k + 1 = 0, -2*g + l*g - k = 28. Let h be -1*6*(-27)/2. Calculate the highest common divisor of h and g.
9
Suppose -18*c = -20*c + 102. Let k be c*(-5)/(-25)*20. Calculate the greatest common factor of 12 and k.
12
Suppose m = -204 + 252. Let t = 108 + -24. Calculate the greatest common divisor of t and m.
12
Let t be -2*(237/(-12) - (-3)/(-12)). Suppose 0 = 9*i - 5*i + t. Let s(h) = -h**2 - 13*h - 10. Let d be s(i). What is the greatest common factor of d and 100?
20
Let x(d) = 29*d - 621. Let m be x(22). Let b = 32 - 15. Calculate the highest common divisor of b and m.
17
Let z = 12560 - 4774. What is the highest common divisor of z and 34?
34
Let o(q) = -86*q - 332. Let a be o(-4). What is the highest common divisor of 6684 and a?
12
Suppose 2*t - 212 = -5*r, 35*r - 36*r - 3*t + 32 = 0. What is the greatest common factor of r and 444?
4
Suppose 27*t - 3465 = 34*t. Let a = -483 - t. Calculate the greatest common divisor of a and 192.
12
Let v be 2 + 6 + (-3 - -2). Suppose - | {
"pile_set_name": "DM Mathematics"
} |
arrange 0*b**2 + 9*b**2 - 5*b + 5*b to d*b**2 + y*b + x and give d.
9
Express (-1 - 1 + 3)*(-n**3 - 3*n**3 + n**3) - 4*n + 13*n**3 - 2*n + 2*n + (-2*n**3 + 4*n**3 + 0*n**3)*(1 - 3 + 1) as y + l*n**3 + r*n**2 + x*n and give x.
-4
Express (-2 - 3 + 4 + (3 + 4 - 5)*(-4 + 2 + 3))*(-3*t**2 - 26*t + 9*t + 11*t) as v*t + h + l*t**2 and give v.
-6
Express 47 + 11*h - 7*h - 2*h + 26 in the form g + n*h and give g.
73
Rearrange -4 + 10 - 13*b - 7*b + 6*b to the form w*b + n and give w.
-14
Express 17*o - 53 + 53 in the form q + x*o and give x.
17
Express (2*t**3 - t**3 + 0*t**3)*(t + t + 2*t) + 7*t + 4*t**4 + 0*t**4 - 3*t**4 as o + h*t**3 + z*t + b*t**2 + r*t**4 and give r.
5
Express 0 + 0 - 80*o**2 as h + a*o + j*o**2 and give j.
-80
Rearrange -h + 18*h**2 + 11*h**2 + 14*h**2 - 41*h**2 to the form a*h**2 + k*h + p and give a.
2
Rearrange (-813 + 813 - 59*k)*(-3*k + 3*k - k**3) - 3*k**2 + 3*k**4 + 3*k**2 to the form d*k**4 + i*k + m*k**2 + g*k**3 + o and give d.
62
Rearrange 5*y - 2 - 5*y + y**3 + 2*y to the form x*y**3 + l*y + w*y**2 + a and give l.
2
Rearrange 5 + 0 + 5*o**2 - 3 + 50*o - 48*o to s + f*o + h*o**2 and give h.
5
Express -r - 5*r + 7*r - 8*r in the form z + s*r and give s.
-7
Rearrange -40*b**2 - 1 + 17*b**2 + 8*b + 21*b**2 to r*b**2 + s + z*b and give r.
-2
Rearrange t - t**2 - 5*t**2 - 1 + 8*t**3 + 5*t**2 to the form i*t**3 + d*t**2 + v + p*t and give v.
-1
Rearrange 7*f**4 + 3*f**4 - 1 + f - 6*f**4 + 4*f**2 to v*f**3 + q*f**4 + j + y*f + k*f**2 and give j.
-1
Rearrange -677*v - 11*v**2 + 2*v**2 + 678*v to f*v**2 + m + g*v and give g.
1
Express -5*q - 1 + 3*q - q**3 + 6*q as j*q**2 + u + i*q**3 + x*q and give u.
-1
Rearrange -l**3 + 4 + 6 - 6 - 6*l**2 - 1 to the form n*l**3 + b*l**2 + m + i*l and give m.
3
Rearrange (-30*h**3 - 9*h**3 - 40*h**3)*(-3 + 2*h + 3) to k*h**4 + p + t*h**2 + q*h + v*h**3 and give k.
-158
Rearrange (-2*v + 2*v - 2*v)*(-12*v + 5*v - 9*v)*(1 + 3 - 2) to the form y*v**2 + t + x*v and give y.
64
Express -354 + b - 3*b**3 + 354 in the form v*b + x + c*b**2 + g*b**3 and give v.
1
Rearrange (-30*r**2 + r**3 + 30*r**2)*(11*r - 91 + 91) to the form x + v*r**3 + k*r + p*r**4 + h*r**2 and give p.
11
Express (-8 - 5*b**3 + 8)*(-2 + 0 - 10) in the form i*b**3 + p + k*b + n*b**2 and give i.
60
Express -2*k**3 + 31*k - 6 - 31*k as t*k**2 + l*k**3 + m + b*k and give l.
-2
Express 2 + 2*m**2 - 4*m**4 + m**4 + 4*m**4 - m**3 in the form a*m + v + o*m**2 + t*m**3 + s*m**4 and give o.
2
Express -192 + 192 - 25*b**2 in the form r*b + n*b**2 + o and give n.
-25
Express 71*w + 4*w**3 - 1 - 73*w - 2*w**3 in the form r + d*w**2 + p*w + h*w**3 and give p.
-2
Express 49*c**2 + 55*c**2 + 11*c**2 as p*c**2 + l*c + h and give p.
115
Express (-4*y**2 - 5*y**2 + 0*y**2)*(-23 + 9*y + 23) as k*y + v*y**3 + j*y**2 + d and give v.
-81
Express (-3 + 3 - i**2)*(-5*i + 0*i + 3*i)*(5 - 4 + 2) as l*i**3 + g + h*i**2 + c*i and give l.
6
Express -3*b**4 - 12*b**3 + 8*b**3 + b**2 + 12*b**3 - 2*b - 2 as z*b**4 + f + l*b + x*b**3 + t*b**2 and give l.
-2
Express (-3*v - v + 0*v)*(-5 + 22 + 10)*(-2 + 4 - 1) as z*v + x and give x.
0
Rearrange -5*g - 2*g**2 - 23*g**2 + 5*g to the form k*g + c*g**2 + p and give p.
0
Express 3 + 6 - 10 - g**3 + 9*g in the form x*g**3 + j + q*g**2 + u*g and give q.
0
Rearrange 16*o + 3*o + 10*o**2 - 9*o**2 + o to the form q*o + u + a*o**2 and give q.
20
Express 2*y**3 - 5*y**3 + 2*y**2 + 2 + 9*y**3 + 2*y + 2*y**4 in the form z*y**3 + q*y**4 + p*y + a*y**2 + m and give m.
2
Express 11*r**4 + r**4 + 4*r**4 + (3*r**2 + r**2 - 3*r**2)*(-r - 2*r + 4*r)*(r + 3 - 3) as a*r**2 + x*r**3 + d*r + v*r**4 + q and give v.
17
Rearrange 14*a - 8*a + 7*a to the form n + l*a and give l.
13
Rearrange 0*n**2 - 19 + 2*n**2 + 6 + 10 to t*n + u + j*n**2 and give j.
2
Express 12*x + 25*x - 21*x as l*x + z and give l.
16
Express n**3 + 7 - 8 + 5 + n**3 in the form u + a*n + c*n**3 + b*n**2 and give u.
4
Rearrange (-q + 5 - 5)*((3 - 3 + q)*(0 - 4 + 3) + q - 3*q + 6*q) - 6*q**2 + 2*q**2 + 2*q**2 to i*q**2 + j*q + p and give i.
-5
Express 4*b - 1 - 13*b + b**4 + 0*b**4 in the form k*b**4 + n*b + g + c*b**2 + a*b**3 and give n.
-9
Rearrange 14*f**2 - 42*f**2 - 19*f**2 to the form t*f + k*f**2 + q and give k.
-47
Rearrange 10*s + 13*s - 6*s - 3*s to d + g*s and give g.
14
Rearrange 2*d**2 - 3*d**2 - 10*d**2 to c*d + x + m*d**2 and give m.
-11
Express s - 2*s**3 + s + 4*s**4 + 6*s**3 - 5*s**3 - 2 as r*s**2 + x*s + u + f*s**3 + v*s**4 and give f.
-1
Rearrange -4 + 6 - i**4 - 5*i**2 + 5*i**2 - i**2 - i to s*i + d*i**3 + z*i**2 + a + v*i**4 and give a.
2
Express 7*q**2 - 12*q**2 + 5 + 7*q**2 - 3 in the form m*q + z + r*q**2 and give r.
2
Express -2*l + 75*l**4 - 4 - 74*l**4 + 3 - 2*l**2 in the form h*l**3 + b*l**2 + m*l**4 + j + s*l and give s.
-2
Express (3*b - 4*b - 4*b)*(16 + 2 - 2) in the form x*b + d and give x.
-80
Express 3*f**3 + 12 - 4*f**3 - 14 as m*f**3 + y + d*f + j*f**2 and give y.
-2
Rearrange 1 - 2 + 5*c - 15*c + 9*c to the form h + m*c and give m.
-1
Express -2*v - 4*v**2 - v**3 + 3*v**2 - 7 + 0*v**2 + 11 in the form c + z*v**3 + f*v**2 + l*v and give f.
-1
Rearrange ((4 + 2 - 4)*(-5*i + i - 3*i) + 2*i - 1 + 1)*(4 - 2*i - 4)*(0*i + 2*i - 4*i) to b*i + n*i**2 + u + a*i**3 and give a.
-48
Express -3*q**2 + 7*q**2 - 2 - 7*q**2 + 2*q - q in the form n + h*q**2 + d*q and give h.
-3
Rearrange -2*s**2 + 94*s + s**3 - 94*s to g*s + k*s**2 + d*s**3 + r and give d.
1
Rearrange (0*c**2 - 2*c**2 + c**3 + 3*c**2)*(1 + 3 + 2) to the form h*c**3 + n*c**2 + k + i*c and give n.
6
Rearrange -7*w - w - 3*w + 0*w to b*w + f and give b.
-11
Express 1 - 117*w**2 + 109*w**2 + 2 in the form f + j*w**2 + l*w and give j.
-8
Express -4 + 8 - 25*i**2 - 5 as t*i + s + n*i**2 and give n.
-25
Express 72*j**2 + 419*j - 419*j in the form t + k*j**2 + p*j and give k.
72
Rearrange (-4*z**3 + 3*z**3 + 0*z**3)*((-4 + 1 + 2)*(6 - 1 - 2) + 3 - 3 - 3 + 2 + 0 + 0) to c*z**3 + f*z**2 + o + r*z and give c.
4
Express (-2 + 2 + 2*r)*(4 + 4 + 13)*(2*r**2 + 2*r**2 - r**2) as q*r**3 + k + l*r + g*r**2 and give q.
126
Rearrange (1 - 1 + 1)*(1 - 3 + 1)*(3*u - u + 7*u + (-u + u + 2*u)*(2 - 2 - 1)) to d*u + z and give d.
-7
Rearrange (-2*m**2 + 10*m - 5 - m**2 - 11*m)*(-10*m**2 + 9*m**2 - 1 - 2) to p + a*m + k*m**4 + q*m**2 + x*m**3 and give p.
15
Express 7*f**2 + 0*f**3 - 3*f**2 + 6*f - 2*f**3 - 7*f as g*f**3 + d*f**2 + w*f + t and give w.
-1
Rearrange 2*m**2 + m**2 - 3*m**2 + 2*m**3 - 2 + m**2 to u*m**3 + j*m**2 + o + r*m and give j.
1
Rearrange -3 - l**3 + 6 + 1 + 2*l**2 to f + k*l**2 + o*l + c*l**3 and give c.
-1
Rearrange -26*f - 7 + 7 to n*f + u and give u.
0
Rearrange 1989 - 1989 + 25*f to the form s + u*f and give u.
25
Rearrange (0*r + 2*r + 13*r)*(r - r**2 - r) to the form k*r**3 + v + y*r**2 + a*r and give k.
-15
Rearrange (-t**3 - 1 + t**2 - 14*t + 14*t)*(-6 - 5*t + 6) to the form n*t**2 + y + m*t**4 + l*t**3 + z*t and give m.
5
Express 6*x**4 - 4*x**4 + 3*x**3 + 2 - 5*x**3 + x as y*x**3 + h*x + j + s*x**4 + t*x**2 and give s.
2
Express (3*p**2 + 4*p**2 - 4*p**2)*(17*p - p - 2*p) - 5*p**3 + 0*p**3 + 2*p**3 in the form m*p**2 + k*p**3 + a*p + x and give k.
39
Express 463*t**2 + 3 + t + t**3 - 463*t**2 as c*t**2 + f + h*t + o*t**3 and give o.
1
Express -6*o - 8*o + 4*o**2 - 2 + 14*o as h*o**2 + q + y*o and give h.
4
Rearrange (d + 0*d - 3*d)*(-2 + 1 - 1) - d + 0 + 0 + d - d + 2*d + 2 - 2 - d + (3*d - 2*d + d)*(-3 + 4 - 2) - 2*d - d + 4*d to the form m + y*d and give y.
3
Express -3 + 3 + 18*i**2 - 16*i**2 - 2 - i**4 - 2*i**3 as k + l*i**3 + p*i**4 + d*i + w*i**2 and give l.
-2
Rearrange (-2 + 7 - 3)*(2*s + 2*s + 0*s)*(2*s + 1 - 1 + (2 - 1 + 0)*(-3*s - 6*s + 16*s)) to the form r*s + g*s**2 + k and give g.
72
Express -17 - 2*b**3 + 17 - 2*b**3 - 4 + 4 + (5*b - 2*b - b)*(-b**2 + 7*b**2 - 2*b**2) as h + o*b + k*b**3 + x*b**2 and give k.
4
Express 4*n**2 + 18*n**2 - 4*n**2 - 3*n**2 - n as a*n + m*n**2 + k and give a.
-1
Express i**2 + 0*i - 3*i**3 - 4*i - i + i**3 as p*i**3 + u*i**2 + t + q*i and give p.
-2
Rearrange -1 + 1 - 9*a + 4*a + 1 to the form v + u*a and give u.
-5
Rearrange -7*d - 6*d + 10*d to the form l*d + p and give l.
-3
Express (3 - 3 + d)*(-9 + 13 - 8) in the form f + m*d and give m.
-4
Express -x**4 + 3 - 4 + 4 - x in the form d*x**4 + j + t*x**3 + p*x + n*x**2 and give d | {
"pile_set_name": "DM Mathematics"
} |
32
What is 578 minutes before 4:02 AM?
6:24 PM
What is 462 minutes after 5:48 PM?
1:30 AM
What is 423 minutes before 7:18 PM?
12:15 PM
What is 277 minutes before 1:06 AM?
8:29 PM
How many minutes are there between 4:08 AM and 11:27 AM?
439
What is 564 minutes before 5:54 AM?
8:30 PM
What is 473 minutes after 7:13 PM?
3:06 AM
What is 6 minutes before 2:18 AM?
2:12 AM
What is 399 minutes before 1:53 PM?
7:14 AM
What is 628 minutes before 6:59 PM?
8:31 AM
What is 507 minutes before 4:05 PM?
7:38 AM
What is 117 minutes after 10:55 PM?
12:52 AM
How many minutes are there between 8:19 PM and 9:51 PM?
92
How many minutes are there between 12:27 AM and 7:08 AM?
401
What is 62 minutes before 3:12 PM?
2:10 PM
What is 473 minutes after 5:36 AM?
1:29 PM
How many minutes are there between 8:31 AM and 6:43 PM?
612
How many minutes are there between 1:07 PM and 1:46 PM?
39
What is 296 minutes after 4:05 PM?
9:01 PM
How many minutes are there between 5:11 AM and 6:27 AM?
76
How many minutes are there between 1:57 AM and 2:35 AM?
38
What is 599 minutes after 1:00 PM?
10:59 PM
How many minutes are there between 1:54 AM and 12:04 PM?
610
How many minutes are there between 7:59 AM and 11:23 AM?
204
How many minutes are there between 5:28 AM and 2:20 PM?
532
What is 27 minutes after 9:53 AM?
10:20 AM
How many minutes are there between 7:37 PM and 4:55 AM?
558
What is 581 minutes before 8:26 PM?
10:45 AM
What is 618 minutes before 1:49 PM?
3:31 AM
How many minutes are there between 12:25 PM and 4:22 PM?
237
What is 91 minutes before 8:07 PM?
6:36 PM
What is 643 minutes after 5:07 PM?
3:50 AM
What is 643 minutes before 4:01 PM?
5:18 AM
What is 558 minutes after 10:24 PM?
7:42 AM
What is 586 minutes before 8:16 PM?
10:30 AM
How many minutes are there between 10:04 PM and 2:56 AM?
292
How many minutes are there between 12:53 AM and 9:20 AM?
507
How many minutes are there between 12:03 PM and 10:55 PM?
652
How many minutes are there between 6:19 PM and 8:26 PM?
127
What is 631 minutes before 4:16 AM?
5:45 PM
What is 252 minutes after 2:40 AM?
6:52 AM
How many minutes are there between 8:03 AM and 3:41 PM?
458
What is 410 minutes after 3:52 AM?
10:42 AM
What is 474 minutes after 2:50 AM?
10:44 AM
What is 371 minutes before 9:15 AM?
3:04 AM
What is 255 minutes after 10:56 PM?
3:11 AM
How many minutes are there between 4:44 AM and 4:23 PM?
699
How many minutes are there between 11:55 AM and 8:23 PM?
508
How many minutes are there between 8:34 PM and 3:46 AM?
432
How many minutes are there between 6:54 AM and 6:43 PM?
709
What is 467 minutes before 11:41 AM?
3:54 AM
How many minutes are there between 7:32 PM and 7:52 PM?
20
How many minutes are there between 3:13 AM and 2:31 PM?
678
How many minutes are there between 4:09 PM and 5:16 PM?
67
What is 453 minutes before 11:20 PM?
3:47 PM
How many minutes are there between 10:25 AM and 8:55 PM?
630
What is 636 minutes before 9:33 AM?
10:57 PM
What is 458 minutes before 10:39 AM?
3:01 AM
What is 264 minutes after 10:49 PM?
3:13 AM
How many minutes are there between 7:33 PM and 7:01 AM?
688
What is 525 minutes after 8:45 PM?
5:30 AM
How many minutes are there between 4:44 AM and 10:11 AM?
327
How many minutes are there between 10:32 PM and 10:46 PM?
14
What is 624 minutes after 12:44 AM?
11:08 AM
How many minutes are there between 8:16 AM and 3:53 PM?
457
How many minutes are there between 4:14 AM and 4:09 PM?
715
How many minutes are there between 3:06 AM and 11:52 AM?
526
What is 591 minutes before 3:32 PM?
5:41 AM
What is 398 minutes after 11:47 PM?
6:25 AM
How many minutes are there between 5:42 PM and 12:52 AM?
430
What is 10 minutes before 6:53 AM?
6:43 AM
How many minutes are there between 8:45 AM and 1:45 PM?
300
How many minutes are there between 12:52 PM and 1:33 PM?
41
What is 456 minutes before 9:12 PM?
1:36 PM
What is 547 minutes after 8:11 AM?
5:18 PM
How many minutes are there between 10:53 PM and 10:13 AM?
680
What is 611 minutes after 7:27 PM?
5:38 AM
What is 323 minutes before 6:15 AM?
12:52 AM
How many minutes are there between 8:25 AM and 9:55 AM?
90
How many minutes are there between 9:06 AM and 6:42 PM?
576
How many minutes are there between 3:17 AM and 5:25 AM?
128
What is 289 minutes before 9:17 PM?
4:28 PM
How many minutes are there between 1:54 AM and 2:53 AM?
59
What is 592 minutes before 12:32 AM?
2:40 PM
What is 155 minutes before 5:28 AM?
2:53 AM
How many minutes are there between 12:07 PM and 12:57 PM?
50
How many minutes are there between 7:12 PM and 12:07 AM?
295
What is 388 minutes after 8:49 AM?
3:17 PM
How many minutes are there between 5:19 AM and 7:57 AM?
158
What is 669 minutes after 4:58 AM?
4:07 PM
What is 570 minutes before 4:28 AM?
6:58 PM
How many minutes are there between 3:50 AM and 1:35 PM?
585
How many minutes are there between 11:30 AM and 12:46 PM?
76
What is 428 minutes before 1:33 PM?
6:25 AM
What is 665 minutes after 1:53 PM?
12:58 AM
What is 327 minutes before 8:35 PM?
3:08 PM
What is 547 minutes after 8:32 AM?
5:39 PM
What is 691 minutes before 7:45 PM?
8:14 AM
How many minutes are there between 10:20 PM and 8:37 AM?
617
How many minutes are there between 7:10 PM and 1:23 AM?
373
How many minutes are there between 3:38 AM and 3:37 PM?
719
How many minutes are there between 1:06 AM and 7:31 AM?
385
How many minutes are there between 4:47 PM and 1:53 AM?
546
What is 677 minutes after 1:32 PM?
12:49 AM
What is 669 minutes before 1:29 PM?
2:20 AM
How many minutes are there between 9:53 PM and 7:52 AM?
599
How many minutes are there between 1:35 PM and 11:17 PM?
582
What is 344 minutes after 12:21 AM?
6:05 AM
How many minutes are there between 1:54 AM and 9:54 AM?
480
What is 524 minutes before 4:42 PM?
7:58 AM
What is 576 minutes after 4:05 PM?
1:41 AM
How many minutes are there between 7:31 AM and 12:34 PM?
303
How many minutes are there between 5:03 AM and 4:45 PM?
702
What is 243 minutes before 10:21 PM?
6:18 PM
What is 553 minutes after 10:38 PM?
7:51 AM
How many minutes are there between 2:06 AM and 2:58 AM?
52
What is 160 minutes after 5:44 PM?
8:24 PM
What is 101 minutes after 10:08 PM?
11:49 PM
How many minutes are there between 8:03 PM and 10:49 PM?
166
What is 466 minutes after 1:37 AM?
9:23 AM
How many minutes are there between 9:44 PM and 6:08 AM?
504
How many minutes are there between 9:45 PM and 3:51 AM?
366
What is 677 minutes after 6:38 PM?
5:55 AM
How many minutes are there between 4:17 PM and 9:38 PM?
321
How many minutes are there between 8:36 AM and 8:08 PM?
692
What is 244 minutes before 9:41 AM?
5:37 AM
What is 459 minutes before 2:56 AM?
7:17 PM
How many minutes are there between 9:46 PM and 5:20 AM?
454
What is 586 minutes after 4:00 PM?
1:46 AM
What is 524 minutes before 6:46 PM?
10:02 AM
What is 323 minutes after 6:55 AM?
12:18 PM
What is 643 minutes before 10:26 PM?
11:43 AM
How many minutes are there between 12:08 PM and 8:53 PM?
525
How many minutes are there between 5:10 PM and 3:35 AM?
625
What is 408 minutes before 12:23 PM?
5:35 AM
How many minutes are there between 6:03 AM and 12:45 PM?
402
What is 663 minutes after 9:54 AM?
8:57 PM
What is 136 minutes before 12:40 AM?
10:24 PM
What is 616 minutes after 11:57 PM?
10:13 AM
How many minutes are there between 10:02 AM and 10:29 AM?
27
How many minutes are there between 12:41 AM and 12:43 AM?
2
What is 155 minutes after 5:16 PM?
7:51 PM
How many minutes are there between 5:23 PM and 5:18 AM?
715
How many minutes are there between 12:57 PM and 12:52 AM?
715
How many minutes are there between 2:50 PM and 1:50 AM?
660
What is 530 minutes before 10:19 AM?
1:29 AM
What is 557 minutes before 4:31 AM?
7:14 PM
What is 327 minutes before 6:40 PM?
1:13 PM
How many minutes are there between 2:10 AM and 1:49 PM?
699
What is 466 minutes before 6:10 PM?
10:24 AM
What is 706 minutes before 3:30 PM?
3:44 AM
What is 345 minutes before 4:08 AM?
10:23 PM
What is 250 minutes before 7:55 PM?
3:45 PM
What is 310 minutes before 4:33 PM?
11:23 AM
How many minutes are there between 9:21 PM and 8:42 AM?
681
How many minutes are there between 4:46 AM and 9:56 AM?
310
What is 359 minutes after 10:38 AM?
4:37 PM
What is 592 minutes before 1:59 PM?
4:07 AM
What is 556 minutes after 12:21 PM?
9:37 PM
What is 117 minutes afte | {
"pile_set_name": "DM Mathematics"
} |
arest to 1/2? (a) -35 (b) -6277 (c) -6
c
Which is the nearest to 5/6? (a) -0.01 (b) -3/2 (c) -835990
a
Which is the nearest to -141? (a) -28 (b) -0.3 (c) 0.5 (d) 1.54
a
Which is the nearest to 43? (a) 2.8 (b) 0.2 (c) 0.4 (d) -27
a
Which is the nearest to -6? (a) 0 (b) 0.2 (c) -0.5 (d) -4 (e) -0.0018
d
Which is the nearest to 0? (a) -4 (b) 9 (c) 0.2 (d) -1/11 (e) 2/61 (f) 12593
e
What is the closest to 16/5 in -1/172, 8, -4, 4?
4
Which is the nearest to 1/27? (a) -2/15 (b) 1 (c) 4/21 (d) 2/51
d
Which is the closest to -180.9? (a) -36 (b) -5 (c) -92
c
What is the closest to -13 in -21, -44, -0.05, -1/2, -0.15?
-21
What is the nearest to -0.175779 in 1/6, -0.1, 3/2?
-0.1
Which is the closest to 8? (a) -10.8 (b) 0.61 (c) 16
b
What is the nearest to 38 in 2, -26/15, 0.2, 3?
3
What is the nearest to -2 in 1/3, 3, -4, 4, -0.6025, -2/19?
-0.6025
Which is the closest to -2/7? (a) -6316.5 (b) 45/4 (c) 0.1
c
What is the closest to 4 in 0.2, -558, 74.9, -1, -0.3?
0.2
Which is the closest to 8? (a) -725144 (b) -0.1 (c) 0
c
What is the nearest to -1 in -106728, -0.54, -0.4?
-0.54
What is the nearest to 134 in 1/43059, -0.1, -0.2?
1/43059
Which is the closest to 1? (a) -0.841 (b) 2/9 (c) -2/219 (d) -0.1
b
Which is the closest to -0.3? (a) 565418 (b) -3 (c) 42/11
b
What is the nearest to 1/4 in -4, 40/449, 29?
40/449
What is the nearest to -3/7 in 0, 1, 1/2, -3/61, -166/9?
-3/61
Which is the closest to 2/7? (a) -0.3 (b) 5/67 (c) 31 (d) 2.3 (e) -2/13
b
What is the nearest to 0.8 in 2/217, -0.3, -4, -2.5, 4, -99?
2/217
What is the closest to 0.8 in -0.5, 0.04, 2/9, 33, -279, 0.5?
0.5
What is the nearest to -0.46 in -1/71, 1/5, -4/3, -3, -4?
-1/71
Which is the nearest to -2/293? (a) -4 (b) 0.4 (c) 3/14 (d) -261/2
c
Which is the closest to -997? (a) -0.7 (b) -1 (c) 6 (d) -4/5 (e) 0.1
b
What is the nearest to 13 in -0.07, 22, 0.2, 75/2?
22
Which is the closest to 2/3? (a) -16 (b) -233/44 (c) 0 (d) -3
c
Which is the closest to -1.86? (a) -0.5 (b) 4 (c) 0 (d) -3/37 (e) 0.067
a
Which is the nearest to 4/1193? (a) -0.3 (b) -0.5 (c) -230
a
What is the closest to -1.6 in -1/2, -2, -4, 54, -11?
-2
Which is the closest to 1? (a) -0.3 (b) -5/13 (c) 195 (d) 1/2 (e) 0.9
e
Which is the closest to -57.2? (a) 1137 (b) -0.5 (c) 0.03
b
What is the nearest to 32 in -1/10, -1.27, 0.09, 2/11, 4?
4
What is the closest to 45 in -332, 5, 2, 1/6, -1/2?
5
Which is the nearest to 0.1? (a) -1/5 (b) -6152 (c) 8/5
a
What is the nearest to -0.13 in -1/7246, -8, 0.4?
-1/7246
Which is the closest to -29.4? (a) 34/3 (b) 4/45 (c) 3/8 (d) -0.5 (e) 1
d
Which is the closest to -3? (a) 55 (b) 0.54 (c) 664
b
Which is the closest to 0.2? (a) -4 (b) -7 (c) 5 (d) -0.5472 (e) 55
d
What is the nearest to 1/2 in 3277, -4/23, -0.6, -12?
-4/23
What is the nearest to -4/31 in -3, -47, -11/65, -2?
-11/65
What is the closest to -10 in 0.15, 730, -0.5, 3?
-0.5
Which is the nearest to -0.0408? (a) -1856 (b) -48 (c) 4
c
What is the nearest to 56/15 in 299.4, 1/6, -0.1?
1/6
What is the nearest to 74.7 in -12830, 5, -6?
5
Which is the closest to 0.6226? (a) -12 (b) 5 (c) 2/29 (d) 0.2 (e) 0.1
d
Which is the closest to -2/7? (a) -4707 (b) 825 (c) -0.3
c
What is the nearest to 0 in 7, 3, -485/8, 0, 1?
0
Which is the closest to 1? (a) -3 (b) 10 (c) 42 (d) -1171 (e) 0
e
Which is the closest to 2/5? (a) 17 (b) -0.03 (c) -3018 (d) -2 (e) 1/5
e
Which is the nearest to 2/135? (a) 2 (b) 0.2 (c) 0.3 (d) 676
b
What is the nearest to -33 in -4, -84/43, 1/2, -26?
-26
Which is the nearest to -0.062? (a) 0 (b) -0.1 (c) 12514 (d) 1/5 (e) 4
b
What is the closest to -11 in 128, 13/2, 0.1, 2/7, 1/5, 1/2?
0.1
Which is the closest to 2? (a) -5/4 (b) 2/21 (c) -0.4 (d) -1 (e) 12 (f) 2/5
f
Which is the closest to 2/5? (a) 74 (b) -12254/7 (c) -4 (d) 0 (e) -3 (f) -1
d
What is the closest to 2273 in 0, 5/2, 4, -14?
4
Which is the nearest to 138572/59? (a) 1/10 (b) 2 (c) 5 (d) -0.3
c
What is the nearest to 3/5 in 20/9, 286231, -5?
20/9
Which is the nearest to 1? (a) 1/10 (b) 305162 (c) -0.3
a
Which is the nearest to -1.56? (a) 2 (b) -1554 (c) -2/5
c
What is the closest to 1 in -5, -0.3, 0.23, 1.2966, 4/5?
4/5
What is the closest to 1 in -1, 0.5, 104, 25689?
0.5
What is the closest to -31 in 64, 0.2, 1/4, -1/4?
-1/4
What is the nearest to 179 in -12, 2, 1.627?
2
Which is the closest to -0.3? (a) 0.2 (b) 57 (c) -4986 (d) -0.2
d
What is the closest to 0 in 3, -14, -6448, -0.4?
-0.4
What is the nearest to -0.2 in -1, -0.5, 19726, 20, 3?
-0.5
What is the nearest to 1/4 in -126, -37, 4/5, 0.3, -30, -1?
0.3
Which is the closest to 2? (a) -20 (b) -1 (c) -15018 (d) 1/2 (e) 0.3
d
Which is the closest to 1/3? (a) -1/10896 (b) -23 (c) 2/7 (d) 1 (e) -3
c
What is the closest to 0 in 0.5, 4/329, 0, -11, -0.1?
0
Which is the nearest to 0.1? (a) -0.4 (b) -0.26 (c) -4 (d) -10 (e) -102
b
What is the nearest to 0.1 in 21, 1/2, -0.311, -0.4, 117?
1/2
Which is the closest to 165? (a) 0 (b) 1/3 (c) -4 (d) -40/3 (e) 4
e
What is the closest to -0.1 in -4222, 1/2, 3, -4, -141/4?
1/2
What is the nearest to -2 in 710, -529, 173?
173
What is the nearest to -1/8 in -8, -0.11, -22/3, -3, 2/3?
-0.11
Which is the closest to 30? (a) -5 (b) -4 (c) 97263 (d) -0.1
d
What is the closest to 32 in -534, 2/15, 777, 1?
1
Which is the closest to 1? (a) -4 (b) 1 (c) -1/31 (d) 4 (e) 3 (f) 25/177
b
Which is the closest to -2/5? (a) 14/75 (b) 2/9 (c) 2/3 (d) -1/456
d
Which is the closest to -0.00674? (a) -1/3 (b) 2/17 (c) -0.01 (d) -1/4
c
Which is the closest to -2/5? (a) -3 (b) 5 (c) -2/7405 (d) 0.5
c
What is the closest to -1 in -1/8, 20, -6039/7?
-1/8
What is the closest to -0.315 in 2642, 0, -0.2, 0.02?
-0.2
What is the closest to -559.5 in -3, -3/55, 0, -4?
-4
What is the closest to 5 in -3/5, -2/7, -245, 351.7, -0.2?
-0.2
Which is the nearest to -2/5? (a) -0.3 (b) -2 (c) 0.04 (d) 4695 (e) 590
a
What is the nearest to -2 in 2/9, 2/7, -1/2, 9259, 0.4?
-1/2
What is the closest to 5994 in 4/3, 2, 1/2?
2
Which is the nearest to -0.0097? (a) 0.5 (b) -1/3 (c) -39/14 (d) -3.5
b
Which is the nearest to -37241? (a) 2/9 (b) 44 (c) -4 (d) 1 (e) 0.1
c
Which is the closest to -1/6? (a) 3 (b) 600 (c) 108
a
Which is the closest to -1430? (a) 2/7 (b) 2515 (c) -0.3
c
Which is the closest to -106? (a) 0 (b) 4 (c) 5 (d) 2 (e) -96
e
What is the nearest to 0.1 in 0, 1/26, -12/29, 1.7, -2?
1/26
Which is the nearest to 6? (a) 5.6 (b) 0.4 (c) -2.2 (d) -2/9 (e) -9 (f) 0
a
What is the nearest to 63 in -5, -0.4, -4, -4840?
-0.4
What is the nearest to -4 in 2/13, -6/131, 0, -0.2, -4/69?
-0.2
Which is the closest to 0.08? (a) -0.4 (b) -74.5 (c) 167/3
a
Which is the nearest to -0.165? (a) 16 (b) 7140 (c) 4 (d) 3
d
What is the closest to 10 in 1/2, 0.73, 14723/4?
0.73
Which is the closest to -2? (a) -66/13 (b) -5/73 (c) -1/5
c
Which is the closest to -17? (a) -2 (b) -1/335 (c) 1 (d) -2/11 (e) -0.1
a
What is the closest to -0.1 in 2, -495, -2/9, -3, -12, 13?
-2/9
Which is the closest to -3/8? (a) 5 (b) -1 (c) 16941
b
What is the nearest to 0 in -1/277, -0.6, 1, -5, 61?
-1/277
Which is the nearest to -1/8? (a) 116 (b) -5 (c) -2/803 (d) -3
c
What is the closest to -5 in -18, 7888, 16?
-18
Which is the closest to 13/14? (a) -0.2 (b) 2 (c) 33 (d) -7/130
d
What is the nearest to -60.06 in 20, 0, 2/7?
0
What is the nearest to -34 in -3.63, -18, -2/9?
-18
What is the nearest to 0.3 in 5, -1, 2/103, 18, -0.02?
2/103
Which is the nearest to -0.91? (a) 7 (b) -334 (c) 1/8
c
Which is the closest to 1? (a) -1225047 (b) -5 (c) -1
c
Which is the nearest to -2? (a) -7.038 (b) -5 (c) 0.51
c
What is the closest to -3/2 in 4/5, -6, -135, 0.1, 535?
0.1
What is the nearest to 618 in 5, -2/9, 0.8, 18?
18
What is the nearest to 0.48503 in -1/7, -0.5, 3, 5?
-1/7
What is the nearest to -27 in -3.11, 6, 0, 2/7?
-3.11
Which is the nearest to -1? (a) -5 (b) 0.11 (c) 9 (d) 0.0416 (e) -2/7
e
Which is the nearest to 11334? (a) 0.3 (b) -10 (c) -3 (d) 1
d
What is the nearest to -0.3 in -56, 1/18, -3, 2, -23, -0.06?
-0.06
Which is the nearest to -0.35? (a) -9 (b) 8515 (c) -1
c
| {
"pile_set_name": "DM Mathematics"
} |
g + 15. Let t be v(-4). Is m(t) a composite number?
True
Suppose 59*n - 3*f = 55*n + 21071, -4*n + 5*f + 21057 = 0. Is n prime?
True
Suppose 6 = -5*g + 7*g. Suppose 5*m + 2*d = 2462 - 757, -m = -g*d - 324. Let k = m - 44. Is k composite?
True
Let n be (-6 - 18/(-6))/((-6)/(-16)). Let m = n - -13. Suppose -3*p = -h + 550, m*p + 2207 = 3*h + h. Is h a prime number?
False
Suppose 3*r - 95 = -4*y, 3*y + 4*r + 45 - 118 = 0. Let o = -23 + y. Suppose o = -n + k - 2*k + 49, 3*n - 3*k = 129. Is n composite?
True
Suppose -1756*r = -1739*r + 204. Let z be 0 - 1810/(-2) - -2. Is z*(r/(-3))/4 a composite number?
False
Let o = -303 - -308. Suppose -3*b = 2*u - 1762, o*u - b - 3686 = 753. Is u prime?
True
Let l(g) = 97*g**3 + 31*g**2 - 31*g - 25. Is l(16) composite?
True
Let y = 39933 - -4263. Suppose 0 = -13*o + 25*o - y. Is o composite?
True
Let f(n) be the third derivative of 5*n**4/3 - 23*n**3/6 + 19*n**2. Let u = -59 - -64. Is f(u) composite?
True
Suppose 0 = -10*l + 20*l + 80. Is 12514/((-1)/2 + (-20)/l) a prime number?
True
Suppose 0 = 3*h - 5905 - 4064. Suppose -8*m + h + 4341 = 0. Is m composite?
True
Let i(v) = 34*v - 13 - 19*v - 68*v - 67*v. Let j(p) = p**2 + 9*p + 2. Let c be j(-8). Is i(c) a prime number?
False
Suppose 4*a = -5*s + 25575 + 1441, -2*s = -8. Let l = 11230 - a. Is l prime?
True
Let i = 5 + -1. Suppose a + i = 3*a. Let h(c) = 288*c - 11. Is h(a) a composite number?
True
Suppose 36 = -4*p - 2*p. Let q be -1 + 0/(-2) - p. Is q*(-3 - 497/(-5)) prime?
False
Let q(i) = -2*i. Let v be q(-2). Let m(f) = 106*f - 184. Let t be m(2). Is (-2)/v + 15778/t prime?
True
Let d(a) = 12581*a**3 - 2*a + 3. Let j be d(1). Let n = j - 8621. Is n a prime number?
False
Let m be 24/9 + (1 - 25/15). Suppose -b + 9754 = 3*b + m*c, 4*c + 2425 = b. Is b a composite number?
False
Let v(k) = -17*k + 292. Let f be v(17). Suppose -u = -f*c + 11948, -17809 = -5*c + 2*u + 2104. Is c a composite number?
True
Is ((-2830950)/63 + -1 + 2)/(90/(-630)) a prime number?
True
Let t(d) be the second derivative of d**4/4 + 5*d**3/2 - 25*d**2/2 + 11*d. Suppose -21 = -4*y + 27. Is t(y) a composite number?
False
Suppose 74*n = 802787 + 555335. Is n a composite number?
False
Let n = 13141 + -8336. Let v = -114 + n. Is v a prime number?
True
Let d(a) = 0 + 10 + 11*a + 2*a**2 + 0. Let v be (6 + 160/(-5))/(-2). Is d(v) a prime number?
True
Is ((-1)/14 - (-415740)/42)*92/6 a prime number?
False
Suppose 0 = -5*u + 5*b + 1488 + 2267, -b - 3 = 0. Suppose u = y - 2745. Is y composite?
True
Let r = -22 + 24. Let y = 91 - 142. Is r*y*(-46)/12 prime?
False
Suppose -8*o = -6*o - 2*j - 14, -2*o = j - 5. Suppose -p + o = -1. Suppose -4*w + 4*d = -p*w + 6135, -2*w + 12278 = 4*d. Is w a prime number?
True
Let t = -3 + -16. Let w = t - -22. Suppose 3*a = 2*h + 754, 5*h - 351 = w*a - 1093. Is a composite?
True
Let o(t) = -8*t - 2 - 7*t - 78*t**2 + 13*t. Let l be o(-1). Let d = l + 525. Is d a prime number?
False
Suppose 5*t = -2*z + 364417 + 255584, -4*t - 4*z + 495996 = 0. Is t prime?
True
Let s(q) = 118*q - 9. Suppose -4*m - 12 - 12 = 0. Let z be s(m). Let w = z - -1300. Is w prime?
False
Let d = 124322 - 66909. Is d a prime number?
True
Suppose -81542 = -2*d + 5*f, -d - 5*f = -17792 - 22979. Is d a prime number?
True
Let m = -81 - -81. Suppose -9*f + 3934 + 935 = m. Is f a prime number?
True
Suppose 2190 = 15*w - 1500. Is (-3794591)/w*-3*2 a prime number?
True
Let s = -323 - -323. Is (-31101)/(0 + -7) - s a composite number?
True
Suppose -14802 - 29322 = -6*u. Suppose -9376 = -10*v + u. Is v composite?
True
Suppose -28*z = 12*z - 12498040. Is z prime?
True
Let f(o) = o**3 - 5*o**2 - 6*o - 9. Let t be f(4). Let h be 9/1 + -3 + 1. Is (-2)/h - 6237/t prime?
True
Suppose -2983992 = -40*h + 7*h. Suppose 12*u + h = 20*u. Is u a prime number?
False
Let h(v) = -8*v + 12. Let y(x) = -7*x + 13. Let k(n) = -3*h(n) + 4*y(n). Let b be k(4). Suppose -17*w + 14*w + 1545 = b. Is w prime?
False
Suppose -1454*h = -1482*h + 38108. Is h a prime number?
True
Is ((-13985530)/91)/((-70)/245) a composite number?
True
Let p(s) = -3 - 26328*s**3 - 3*s**2 + 12 + 0 - 4 - s - 4. Is p(-1) a prime number?
False
Suppose -4*b = -5*p + 4, -p - 9 = -5*b - 35. Let z(m) be the third derivative of -m**6/120 + m**5/12 - 3*m**4/8 - 7*m**3/6 + 1889*m**2. Is z(b) prime?
True
Suppose 2*i - 74214 = 4*n, -14032 + 88211 = 2*i + 3*n. Is i composite?
False
Suppose -263*f - 24662102 = -98329980. Is f a composite number?
True
Suppose -2*o + 32 + 66 = 0. Let k = o - 46. Suppose 1279 + 8214 = k*s - 2*q, 12660 = 4*s - 4*q. Is s a prime number?
True
Suppose -2 = -5*r - 7. Let p be r + 2 + 5/((-5)/2). Is (p/(-3))/(-4 + 7527/1881) composite?
True
Suppose -23 = 4*l + 2*q + 5, 44 = -5*l + 2*q. Let a(r) = -8*r**3 - 3*r**2 - r - 11. Is a(l) a prime number?
False
Let y(r) = 1200341*r**3 - 4*r**2 - 15*r + 19. Is y(1) a composite number?
False
Let h be (-12)/9*9/((-3)/1). Suppose 2*g - 831602 = -n, -1392032 - 271188 = -h*g + 2*n. Is g/357 - (-1)/((-7)/(-2)) a prime number?
False
Let l(j) = -1086*j + 53. Let w be l(-3). Let g = -1002 + w. Is g a composite number?
False
Suppose 27*g - 6*g = 3128727. Is g prime?
False
Let r(z) = -89*z**3 + 976 - 971 + 3*z + 0*z - 20*z**3. Is r(-3) composite?
False
Let p(c) be the first derivative of 67*c**3/3 - 8*c**2 - 17*c + 82. Is p(16) composite?
False
Is (1 - 0) + -2 + (-1 - -166185) a prime number?
True
Suppose -77*x + 24 = -75*x. Let n be 26/x - (-3)/(-72)*4. Suppose -n*m = 2*m + 5*i - 1891, -5*i = 3*m - 1412. Is m a composite number?
False
Let j = -431 + -307. Let g = 3769 - j. Is g a composite number?
False
Let h be (-316)/14 + (-16)/(-28). Let o = h - -45. Suppose -28*p = -o*p - 1695. Is p a composite number?
True
Let d be -4 + 0 + 1 - -5. Suppose -3*p - 13 = -0*p + 5*l, -26 = -4*p + d*l. Is 1/p - (-17962)/56 prime?
False
Is (544915/10 - 1*3)*(-80)/(-40) a composite number?
True
Suppose -3*s - 34 = -43. Suppose -s*y - 2790 = -10227. Is y prime?
False
Suppose 41 - 33 = 4*z. Let h(g) = -g**2 - 7*g + 20. Let t be h(z). Suppose -4*i + t*l + 778 = -1220, -4*i - l + 1995 = 0. Is i composite?
False
Let o = 212988 - 99551. Is o a prime number?
True
Let p(k) = 13 + 22 - 1 + 28 + 271*k. Is p(11) composite?
True
Suppose -17*i - 272367 = -3*k - 16*i, -k + 3*i = -90805. Is k composite?
False
Is (9/(1782/16378307) - (-8)/(-36))*14 a composite number?
True
Let n = 60 - 55. Suppose -3*c + 28511 = -3*j + j, n*j + 47515 = 5*c. Is c a composite number?
True
Suppose 0 = -5*n - 7*f + 4*f + 850880, 2*n + 4*f - 340338 = 0. Is n composite?
False
Let k(u) = 5*u - 4*u + 0*u + u. Let q be k(0). Suppose q*j - j - 8120 = -5*c, 4*j = -4*c + 6472. Is c prime?
False
Suppose 3*c - 5555 = -2*c. Suppose -2*g + 1093 = -5*d - 6*g, 2*g - c = 5*d. Let x = d + 398. Is x a composite number?
True
Suppose 2*k - 2*q + q - 404135 = 0, k - 202072 = -q. Is k composite?
True
Let r be -157*2/4*(25 - 27). Let m = r + 136. Is m composite?
False
Let d(t) = -t**2 - 9*t - 13. Let j be d(-8). Let v be ((-5)/j + 0)*410. Suppose q - v = -q. Is q composite?
True
Let v = 74 - 68. Suppose -3*f + 2652 = -3*y, y = v*f - f - 4440. Suppose -28*w = -29*w + f. Is w prime?
False
Let m be (-2 - -1)*-1*3*9. Let j = m + -16. Suppose j*y - 3*y - 10696 = 0. Is y a composite number?
True
Suppose -17*h + 3*h - 140 = 0. Is 140665/85 + h/(-85) composite?
True
Is (-8)/(-4) - (-13 + 311)*(-7662)/4 a prime number?
True
Suppose 9*g = 221 + 94. Is 45595/g + (-11)/((-77)/2) composite?
False
Suppose -30 = 3*x - 42. Suppose 5*b + g - 1000 = 0, -5*b - 4*g + 219 = -x*b. Is b a composite number?
False
Let o be -2 + (-5 - -3)*(-9)/(-6). Let x be ((-12)/o)/(18/(-1170)). Let q = x - -4523. Is q composite?
True
Suppose 0 = -5*b + 97159 - 32954. Is b a composite number?
False
Let x = -27 - -29. Suppose 2*s - 32 = 2*m, 0 = -6*s + x*s + 5*m + 59. Is (128/12 - -3)*s prime?
False
Suppose 17*c = -7 + 75. Suppose 4*t = 7*t - 28389. Suppose -t - 1069 = -c*p. Is p a composite number?
False
Let o(c) = -c**2 + 25*c + 24. Let j be o(21). Let l be (4 - 2) + (-2 - j). Let y = 205 + l. Is y a prime number?
True
Suppose 5*t - 158310 + 1084218 = 2*d, d = -t + 462961. Is d prime?
False
Suppose 0 = j + 3*h - 208780, -662400 = -4*j + 5*h + 172601. Is j a prime number?
True
Let q(k) = 14597*k - 2379. Is q(56) prime?
True
| {
"pile_set_name": "DM Mathematics"
} |
196. Let t be 435/44 + 1/4. Let u = t + w. What is the common denominator of u and -43/4?
4
Let q = -13/107 - -4277/856. Calculate the common denominator of 53/4 and q.
8
Suppose -26 - 62 = -4*w. What is the common denominator of -55/189 and w?
189
What is the common denominator of -5 and (-1)/4 + -106*3/48?
8
Calculate the lowest common multiple of 1/(-2)*-4*7 and 6.
42
Let l = 10 - 16. Let s = 39/11 - 489/110. Calculate the common denominator of 44/l + (-1 - -2) and s.
30
Let f be (-6)/(-9) + (-658385)/66. Let b = 9970 + f. Find the common denominator of b and 151/12.
132
Let v = 77087/14 + -5510. What is the common denominator of v and 4 + 212/(-24) + 4?
42
Suppose 39*q - 45 = 36*q. Calculate the lowest common multiple of q and 12.
60
Let x = -16 + 26. What is the smallest common multiple of x and 4?
20
Suppose d = 3, 4*y - 3*d + 4 - 19 = 0. Suppose -8 = -2*b - 2*b. Suppose b*c - 1 = c. Calculate the lowest common multiple of c and y.
6
Suppose 2*c + 5*y + 34 = 4*c, 58 = 4*c - 5*y. Calculate the least common multiple of c and 2.
12
Suppose d - 11 + 0 = 3*z, 4*d + 2*z = 44. What is the smallest common multiple of 1 and d?
11
Let s(f) = f + 19. Calculate the least common multiple of 24 and s(2).
168
Let z(j) = -35*j + 8. Let w be z(-4). Let u be ((-16)/10)/((-3)/15). Find the common denominator of -19/8 and w/u*(-8)/(-6).
24
Let r(d) = d**3 - 12*d**2 + 2*d - 13. What is the lowest common multiple of 7 and r(12)?
77
Let c = 76/35 - 88/7. Let d = 2354/3 + -774. What is the common denominator of c and d?
15
Let o = -595/4 - -148. Calculate the common denominator of o and -95/16.
16
Let j = -14 + 11. Find the common denominator of (j/(-8))/((-21)/(-172)) and -79/6.
42
Let o = 21/68 - 2553/340. What is the common denominator of 53/9 and o?
45
Let v = -44337 + 84765/2. Let h = 2003 + v. Find the common denominator of h and 22/(-6)*(-6)/(-8).
4
Calculate the least common multiple of 110 and 11 + ((-2)/(1 - -1))/1.
110
Let h = -5015864 - -50199043/10. Let f = -4031 + h. Find the common denominator of f and 105/22.
110
Let s(c) = -3*c - 8. Let y = -19 - -11. What is the lowest common multiple of 8 and s(y)?
16
Let t be (-12)/(-2) + 3 + -6. Suppose 5*b = 2*n - 15 + 4, 0 = t*n + 5*b - 4. Let a = -3 + 10. What is the lowest common multiple of a and n?
21
Suppose 3*x - 12 = -3*z, 5*z + 2*x - 2 - 30 = 0. What is the common denominator of 75/16 and 412/z - (1 - 0)?
16
Let m = 1/1376 - 40593/1376. Calculate the common denominator of m and 107/42.
42
Let p = 63 - 7. Suppose -2*a - 5*w = -p, 3*w - 174 = -5*a - w. Calculate the common denominator of -22/9 and a.
9
Let r = 12/43 - 1443/86. Let g = 95849/12 + -7981. Find the common denominator of g and r.
12
Let v = 15 + -5. Calculate the least common multiple of (-3 + -7)*(-12)/15 and v.
40
Let x = 173 + -43. What is the common denominator of -55/2 and x/112 - (-16)/(-56)?
8
Let a = 16 - -24. What is the smallest common multiple of a and 8?
40
What is the common denominator of 26/(-10)*(5 - 8) and 21?
5
What is the common denominator of 29/6 and 1 - -2 - 3/144*-106?
24
Let x = 609/2 + -353. Find the common denominator of (-6)/27 - (-341)/36 and x.
4
Let y(k) = -k**3 - 2*k**2 + 14*k - 17. Calculate the least common multiple of y(-7) and 14.
910
Let h be 2/(-4) + (-45)/2. Let t = h - -41. Calculate the smallest common multiple of t and 18.
18
Let q be (-353)/(-13) + (-2)/13. What is the smallest common multiple of q/(-6)*(-24)/9 and 16?
48
What is the least common multiple of 325/20 + -4 + (-2)/8 and 27?
108
Suppose -2*o = o - 108. Let f(l) = -l**3 + 9*l**2 - 2*l + 13. Let x be f(9). Calculate the common denominator of 11/2 and (-6)/o*33/x.
10
Let v be 3/2*(-160)/(-5). Calculate the common denominator of 1 + 165/v - 1 and (-21)/(-12)*1/(-5).
80
Let d(i) be the third derivative of 1/24*i**4 + 0*i + 1/6*i**3 + 2*i**2 + 0. Calculate the smallest common multiple of 8 and d(3).
8
Let b(o) = -4*o - 9. What is the smallest common multiple of b(-4) and 5?
35
Suppose 0 = -3*v + 2*v - 2. Calculate the lowest common multiple of 12/(-9)*27/v and 22.
198
Let v be 2 - 0/(-2 + 4). Let b be 1 + 1*(0 - -1). Find the common denominator of (b - v) + 237/66 and 85/18.
198
Calculate the common denominator of 95/18 and (-2180)/(-112) + (-4)/(-14).
36
Let l = -11 + 33. What is the lowest common multiple of l and 6?
66
Let t = 3 - 13. Let l = -2 - t. Calculate the lowest common multiple of l and 15/(-3) - (4 - 29).
40
Let l = -26 + 48. Calculate the least common multiple of 14 and l.
154
Suppose -5*d + 2*r = -2*r - 40, d + 11 = -3*r. Let b = 1103/20 + -93/20. What is the common denominator of (57/(-36))/((-2)/d) and b?
6
Let c(d) = 32 - 18 - 6*d + 0*d**2 + d**2. Calculate the lowest common multiple of 6 and c(4).
6
Suppose -2*k - 3*z + 52 = 0, 2*z + 48 = 5*k - 44. Let p = -16 - -32. Calculate the smallest common multiple of p and k.
80
Let n = 16 + -8. Let k = 12 + -10. Suppose -k*x = 3*x - 80. What is the smallest common multiple of x and n?
16
Find the common denominator of 6/(-4) - 1/10 and 93/10.
10
Let s = 230 - 425. Calculate the lowest common multiple of s/(-21) + 4/(-14) and 4.
36
Let x = 11/18 + -91/9. Calculate the common denominator of x and 5/11.
22
Let p(u) = u**2 - 5*u + 3. Let g be p(5). Suppose 0 = 4*w + 4*t - 20, 5 = 2*t - 1. Calculate the least common multiple of 11 and 6 - (w + 1)/g.
55
What is the common denominator of -9 + 11 + (-57)/(-4) and -89/10?
20
Let l = 1041/23 - 22683/460. Find the common denominator of (2 + 267/6)/(-4) and l.
40
Let v = -26251/50 + 525. Find the common denominator of -33/16 and v.
400
Suppose 7*q - 6*q = -2*y + 13, -2*q + 3*y = -5. What is the least common multiple of q and 2?
14
Let g be ((-18)/30)/((-16)/(-126410)). Let v = g + 4730. Calculate the common denominator of v and -49/2.
8
Suppose -2*i - 2 = -3*z - 5, -2*z + 24 = 3*i. Let f(l) = l**2 - 2. Calculate the smallest common multiple of i and f(-2).
6
Let x(m) = 2*m**2 - 2*m - 1. Let f be x(-1). Suppose -2*k - f = -7. Calculate the lowest common multiple of k and 22.
22
Let r = 63 + -33. Suppose d - 5*y - r = 0, d + 2*y - 24 = 4*y. What is the lowest common multiple of -1*(-14 - 0 - 2) and d?
80
Calculate the lowest common multiple of 45 and (-35)/2*8/(-12)*3.
315
Let y = 3730 + -14387/4. Let j = y - 1013/8. Find the common denominator of j and (-3 + 2)/((-11)/46).
88
Suppose -3*j - 1 = -4*j. Calculate the lowest common multiple of 10 and j.
10
Let c = -3629/8 + 463. Calculate the common denominator of c and 1/(-3) - 2/6.
24
Suppose -2*m = -0*m - 18. Calculate the lowest common multiple of m and ((-33)/(-22))/(2/4).
9
Let c = -16 - -22. Calculate the smallest common multiple of 1 - ((-2)/(-2) - c) and 4 + -2 + 1*2.
12
Let c(y) be the third derivative of -y**5/60 - y**3/3 - 2*y**2. Let b be c(0). Let u = b + 4. Calculate the lowest common multiple of u and 2.
2
Let k = 1 + -3. Find the common denominator of 71/6 and 3 - ((-31)/6 - k).
6
Suppose -4*a - 19 = 1, 0 = -2*m - 3*a - 15. Suppose 2*b - 5*j - 23 = 4*b, m = 3*b + 3*j + 12. What is the least common multiple of 8 and b?
8
Calculate the smallest common multiple of (20/30)/(1/12) and 38.
152
Suppose 2*x - 75 = -17. Let w = x + -13. Let u(m) = m**2 + 5*m + 8. Calculate the least common multiple of u(-6) and w.
112
Let u(p) = 0*p - p + 0*p - 1 + 0. Suppose -2*j - 8 = -4*j - 4*g, 0 = 5*j - g - 9. Calculate the lowest common multiple of u(-3) and j.
2
Suppose -2 = a - 10. Calculate the least common multiple of 11 and a.
88
What is the smallest common multiple of ((-49)/2)/(-7)*8 and 6?
84
Let j = 12 - 29. Let x = 32 - 5. Let r = j + x. What is the lowest common multiple of 5 and r?
10
Let g = -1823315/172284 - 2/14357. What is the common denominator of g and 63/16?
48
Let f = -13 + 15. What is the smallest common multiple of f and 5?
10
Suppose 38 = -3*h - 1. Let n = 22 + h. Calculate the lowest common multiple of 10 and n.
90
Let a = -14364277/190 - -75601. Let z = 3/19 + a. Calculate the common denominator of z and -52/9.
90
Let u = 7 + 15. Calculate the smallest common multiple of u and 100.
1100
Let v(r) = r**2 + r - 2018. Let u be v(0). Let s = u + 14180/7. Calculate the common denominator of s and 79/4.
28
Let l(m) = -10*m - 1. Let u(t) = -t**2 + 10*t + 10. Let v be u(11). Wha | {
"pile_set_name": "DM Mathematics"
} |
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