 -12*l + 15. Calculate the remainder when 40 is divided by l.
5
Let p(c) = c**3 - 4*c**2 - c + 2. Let x be p(4). Suppose -2*o - 14 = -52. What is the remainder when o is divided by (-11 + 1)/(0 + x)?
4
Suppose 0 = -10*q + 3*q + 392. Let c = 105 - q. Let y = 0 - -13. Calculate the remainder when c is divided by y.
10
Let j(x) = x**2 - 2*x - 3. Let l be j(4). Suppose l*t - 107 = 58. What is the remainder when t is divided by (-3)/5 + (-63)/(-5)?
9
What is the remainder when 353 is divided by 67/4 - -2*7/56?
13
Calculate the remainder when -4 + 4 + 4 - (0 + -27) is divided by 17.
14
Suppose 98 = 19*g - 92. What is the remainder when 587 is divided by g?
7
Let k be 12/(-30) + (-57)/(-5). Suppose -3*x + w + 4 = 0, -w - k = 5*x - 31. Calculate the remainder when 13 is divided by x.
1
Let b(p) be the third derivative of p**5/3 - p**3/3 + 2*p**2 - 67. Let j be 18/(-8) + (-2)/(-8). What is the remainder when b(j) is divided by 20?
18
Let u(g) = g**3 - 11*g**2 + 23*g - 27. What is the remainder when 251 is divided by u(9)?
17
Suppose -16*x = -14*x - 5*d - 53, 0 = x - 3*d - 28. Calculate the remainder when 282 is divided by x.
16
Suppose -3*b - v = -6*b + 31, 4*b - 3*v - 43 = 0. Calculate the remainder when 328 is divided by b.
8
Let f = 2 - -132. What is the remainder when f is divided by 27?
26
Suppose -2*m - m + 60 = 0. Let t(q) = 2*q + 4. Let b be t(-2). What is the remainder when b + (32 + 2 - -2) is divided by m?
16
Let f = 51 + -47. Calculate the remainder when 124 is divided by (-52)/(-14) - f - (-226)/7.
28
Let m(t) = -t**2 - 2*t + 1. Let g be m(-2). Let h(o) = o**3 + 6*o**2 - 4*o - 8. What is the remainder when 2 + (1 - g) + 29 is divided by h(-6)?
15
Let f = -38 + 20. Let c = f - -25. What is the remainder when c is divided by (6/5)/(60/200)?
3
Let a = 50 - 63. What is the remainder when 87 is divided by -1*23*a/13?
18
Suppose 112 + 56 = 7*q. Let l = 27 - q. What is the remainder when 9 is divided by l?
0
Suppose -32*f = -25*f - 189. What is the remainder when 237 is divided by f?
21
Let w(v) = v**2 + v - 4. Let i be w(-5). Let t = 18 + i. Let g(z) = z - 3. Calculate the remainder when t is divided by g(15).
10
Let s = 76 - 165. Let u = 147 + s. Calculate the remainder when u is divided by 20.
18
Let s = 1700 - 1688. What is the remainder when 245 is divided by s?
5
Let p = -769 + 814. What is the remainder when p is divided by 13?
6
Let g be (-1 + (-5)/(-3))*(-45)/(-2). Suppose 0 = -g*s - 1 + 271. What is the remainder when 138 is divided by s?
12
Let g(t) = 2*t**2 + 7*t + 12. What is the remainder when 51 is divided by g(-3)?
6
Let s(j) = 2*j**3 + 24*j**2 - 3*j - 16. Suppose -3*i + i = -58. Let y = 104 - i. Calculate the remainder when y is divided by s(-12).
15
Suppose 0 = -5*c + 117 - 22. Calculate the remainder when 70 is divided by c.
13
Let l be (45/12)/(6/16). What is the remainder when 41 is divided by (l + 26)/(3/2)?
17
What is the remainder when 489 is divided by (8 - (-182)/(-21)) + 298/6?
48
Let r = 30 + -41. Let c = r + 27. Suppose -p - 239 = -4*v, 4*v + 4*p - 142 = 2*v. Calculate the remainder when v is divided by c.
13
Let j = 67 + -20. Let g = -2713 - -2723. What is the remainder when j is divided by g?
7
Suppose -3*y + 2*y + 54 = p, 84 = 2*y - 4*p. What is the remainder when 72 is divided by y?
22
Suppose -b = -4, 0 = 3*n - 4*b - 0*b + 10. Let i = 66 + -57. What is the remainder when i is divided by n?
1
Let b = -54 - -26. Let r = -14 - b. What is the remainder when 40 is divided by r/(-2 + (-32)/(-12))?
19
Let l be 224 + (2 + 3 - 3). Suppose 0 = -4*b + 16, -13 - l = -5*i + 4*b. What is the remainder when i is divided by 26?
25
Let u = 70 - 56. Calculate the remainder when (54 - 1/1) + 2 is divided by u.
13
Let j(u) = 2*u - 1. Suppose 0 = -3*p - p + 16. Suppose p*h + 2 = 146. What is the remainder when h is divided by j(7)?
10
Let g = 48 + -48. Suppose g = k + k - 76. Let l = 8 - -2. Calculate the remainder when k is divided by l.
8
Let b be (88/6)/(2/3). Suppose 0 = -5*r - 2 + b. Suppose 0 = -r*i - 30 + 182. Calculate the remainder when i is divided by 8.
6
Calculate the remainder when 490 is divided by 4*(152/16 + 6).
56
Suppose -s + 2 = -2, 5*p = -s + 19. Calculate the remainder when (-28)/(-42) + 25/p is divided by 2.
1
Let z(y) be the first derivative of y**4/4 + 4*y**3/3 - 4*y**2 - 5*y - 11. What is the remainder when 36 is divided by z(-5)?
6
Suppose 757 = 5*g + 3*i, -g + 5*i - 42 + 199 = 0. Calculate the remainder when g is divided by (117/(-12))/((-48)/(-36) + 19/(-12)).
35
Suppose 5*f - 395 = 5*u, 16*u = -4*f + 21*u + 320. What is the remainder when f is divided by 30?
15
Let w be -3 + (3 - (2 - 0)). What is the remainder when 82 is divided by w/(-9) - 530/(-45)?
10
Suppose 2*h + 6*w = 11*w + 112, 4*w = 4*h - 236. Calculate the remainder when h is divided by 36.
25
Let t = 1 + 56. Suppose 2*u = -u - t. Let c = 7 - u. Calculate the remainder when c is divided by 7.
5
Let o(n) be the third derivative of n**5/60 + n**4/4 - 5*n**3/3 - 4*n**2. Let k be o(-7). What is the remainder when (-126)/k - 1/(-1) is divided by 15?
13
Let x(u) be the first derivative of u**4/2 + 5*u**3/3 + 5*u**2/2 + 6*u - 4. Let r be x(-3). What is the remainder when 67 is divided by r/(-30) + (-134)/(-10)?
11
Let p(z) = -10*z + 396. Calculate the remainder when p(36) is divided by 8.
4
Let a(f) = 3*f**3 + f - 3*f + 5 + 14*f**2 - 15*f**2 - 2. Let r be 1*6*(-1)/(-3). Calculate the remainder when a(r) is divided by 10.
9
Let r be 7/(-1)*(-228)/14. Let q = r - 89. What is the remainder when 147 is divided by q?
22
Suppose -60 = 35*l - 41*l. Let w(r) = r**3 + r + 50. Let h be w(0). Let c = -22 + h. What is the remainder when c is divided by l?
8
Let f = -6 + 8. Suppose -y = -f - 6. What is the remainder when 144/5 - 2/(-10) is divided by y?
5
Suppose 2*g + 2*g = 368. Suppose -10*h + 12*h - g = 0. What is the remainder when h is divided by 12?
10
Suppose -2*t - 6 = -3*t - 2*m, 3*m = 0. Suppose t*v - 8 = 2*v. Suppose 4*w - 57 = 3*u, 2*u + 2*u = -v*w + 34. What is the remainder when w is divided by 9?
6
Let c be (-12)/(-18) + (-24)/9. Let n(j) = -13*j + 16. Let r = 16 + -7. What is the remainder when n(c) is divided by r?
6
Let i = -206 + 254. Calculate the remainder when 137 is divided by i.
41
Suppose 4*d = 2*t + t - 12, t = -5*d + 4. Suppose 11 + 97 = 5*p + r, t*p = 4*r + 72. What is the remainder when (12/(-12))/(1/(-62)) is divided by p?
20
Let g = 108 + -81. Suppose -g*j - 36 = -31*j. Calculate the remainder when 23 is divided by j.
5
What is the remainder when 549 is divided by 4/(-30) + (-41044)/(-930) + 6?
49
Suppose -2*i + 17 = -g, 0 = -4*g + 4 - 0. What is the remainder when -7 + (-7700)/(-63) + (-2)/i is divided by 30?
25
Let m(f) = -100*f**3 - f**2 + 2. Calculate the remainder when m(-1) is divided by 34.
33
Suppose -u + 5 = -1. Let g = -218 - -231. Calculate the remainder when u/(-15) - (-252)/5 is divided by g.
11
Let w = 0 + 5. Suppose k + 14 = 3*x - 0*k, x - w*k - 28 = 0. Let v = 39 + -30. What is the remainder when v is divided by x?
0
Calculate the remainder when (-6)/11 + (-2118)/(-11) is divided by 65.
62
Suppose -3*v + 52 = -q, 7*q + 28 = 2*v + 8*q. Calculate the remainder when v is divided by 8.
0
Suppose a + 18 = z, 20*z = 18*z - 5*a + 71. What is the remainder when z is divided by 3*-21*4/(-18)?
9
Let n(r) = 4*r**2 + 11 + 0*r - 5*r - r**2 - 6*r. What is the remainder when n(8) is divided by 30?
25
Suppose 0 = -2682*l + 2675*l + 413. Calculate the remainder when 87 is divided by l.
28
Suppose -2*q + 4*t = -280, 4*t + 131 = q - t. Let r(h) = 2*h**3 - 6*h**2 + 2*h - 3. What is the remainder when q is divided by r(4)?
35
Let q(l) = l**2 + l + 101. Suppose -4*n - 9 = -49. Suppose -104 = 6*w - n*w. What is the remainder when q(0) is divided by w?
23
Let s = -1040 - -1118. Calculate the remainder when s is divided by 35.
8
Let p(h) = -h + 63. What is the remainder when 198 is divided by p(-4)?
64
Let r(t) = t**2 - t + 4. Let j = 29 + -20. What is the remainder when r(3) is divided by j?
1
Suppose 19 = 5*n - 16. Suppose -10*x = -n*x - 30. Calculate the remainder when 70 is divided by 6/x - (-351)/15.
22
Suppose -2*k + 9 = -r, -4*k - 2*r = -0*k - 22. Suppose -2*p = -5*i - 17, 2*p + k*i - 47 = -0*p. Calculate the remainder when 29 is 