
Let l(w) = -w**3 - 16*w**2 - 106*w + 9. Calculate the remainder when l(-7) is divided by 108.
94
Let s be (4/8)/((5/(-6))/(-5)). Suppose -6*o + 4*o = p - 54, -s*p = -12. What is the remainder when 47 is divided by o?
22
Let s = 52 + -29. Let k(j) = j**2 - 8*j - 7. Let l be k(9). Suppose -l*o + 6 = 2*q, -5*q + 0*q = -4*o + 57. Calculate the remainder when s is divided by o.
7
Suppose 5*a + 0*a - 735 = 0. Suppose -7*p + a = -35. What is the remainder when 49 is divided by p?
23
Let j(h) = -42*h + 1. Let k(c) = -c - 1. Let q(g) = j(g) - k(g). Let a be q(-2). Suppose 20 - a = -4*v. Calculate the remainder when 31 is divided by v.
15
Let s be (-7)/((-28)/12) + -81. Let m = s - -81. What is the remainder when 15 is divided by m?
0
Let l = 96 + -63. What is the remainder when 163 is divided by l?
31
Let g = 4127 + -3994. Calculate the remainder when g is divided by (-4)/(-3)*(-102)/(-4).
31
Let v(p) = -p**2 - 8*p - 5. Let i be (16/10)/(3/(-15)). Let m be (-4 + i)*(-1)/(-3). What is the remainder when 31 is divided by v(m)?
9
Let v(d) be the third derivative of d**5/20 - d**4/24 - d**3/6 - 22*d**2. What is the remainder when v(5) is divided by 12?
9
Suppose 3*g + 0*l - 124 = -5*l, 0 = 4*g + 5*l - 162. What is the remainder when 568 is divided by g?
36
Let r = 61 - 27. What is the remainder when 66 is divided by r?
32
Let t(w) = 3*w + 10. Let i(r) = -3*r - 10. Let h(g) = 3*i(g) + 2*t(g). Calculate the remainder when h(-13) is divided by 16.
13
Suppose -z - 3*b - b - 39 = 0, 4*z + 177 = 5*b. Let i = z + 24. Let n = 2 - i. Calculate the remainder when n is divided by 13.
8
Let t(v) = 138*v**3 - 1. Let r be t(1). Let u = 93 - r. Calculate the remainder when 1 - (u/1 + 0) is divided by 12.
9
Suppose -89 = -4*a - 1. What is the remainder when 83 is divided by a?
17
Calculate the remainder when 28*(4/(-8))/(6/(-147)) is divided by 51.
37
Let j(d) = 2*d**2 + 16*d + 139. Calculate the remainder when j(-7) is divided by 43.
39
Calculate the remainder when 16/(-88) - (-12096)/99 is divided by 21.
17
Suppose 5*n = 6 + 4. Suppose -s = a + a + 22, -a + 4*s = n. What is the remainder when 22 is divided by 3/6*a*-1?
2
Suppose 58 - 88 = -2*j. Calculate the remainder when j is divided by 2*2 - (0 + 0).
3
Let v = 194 - 131. Calculate the remainder when v/5*320/48 is divided by 22.
18
Suppose 0 = -4*r + 20, -61 = -3*b - 5*r - 3. Suppose -b*k - 22 = -13*k. What is the remainder when 131 is divided by k?
10
Suppose 4*x - 1554 = 5*g - 246, -6*g + 1635 = 5*x. Calculate the remainder when x is divided by 30.
27
Let a be 4/8*(10 + -2). Let b be (-2)/4*80/(-5). Calculate the remainder when 39 is divided by (14 - 4)/(a/b).
19
Let n(b) = b + 17. Let u = -17 - -2. Suppose c = -4*j - 0*j + 11, 5*j - 2*c = 4. Calculate the remainder when j is divided by n(u).
0
Let q be 37 - (0 + 4) - -2. Suppose -37*d = -q*d - 32. Calculate the remainder when d is divided by 9.
7
Let g = -15 - -19. Let i be (-12 + 10)*(-730)/g. What is the remainder when 97 is divided by i/15 - 2/(-3)?
22
Suppose -3*o + p + 15 = -3*p, -2*o = -p - 10. Suppose -o*q + 10 = -20. What is the remainder when (119 + 1)*q/15 is divided by 10?
8
Suppose 30*n - 31*n = -57. Calculate the remainder when n is divided by 12.
9
Let h(f) = -f**2 + 9*f - 9. Let m be h(7). Let n = 10 + m. Let j = n - 12. Calculate the remainder when 5 is divided by j.
2
Suppose 22 = 2*t - 4*z, -4*t - 2*z + 43 = t. Suppose 0 = -3*i + t, -y + 5*i + 33 = 3*y. Calculate the remainder when y/20 - 4/(-10) is divided by 1.
0
Let z = 48 - -103. Calculate the remainder when z is divided by 31.
27
Let m = -31 - -173. What is the remainder when m is divided by 13?
12
Let y(d) = d**3 + 5*d**2 - d - 2. Suppose -3*x - 540 = -5*w + 2*x, -3*w + 5*x = -320. Let p = -107 + w. Calculate the remainder when y(-5) is divided by p.
0
Suppose 35*l = -257 + 9567. Calculate the remainder when l is divided by 50.
16
What is the remainder when 51 is divided by (2/(-6) + -1)*(-108)/24?
3
Let y(s) = s**3 + s**2 + 2*s - 1. Let a = -608 - -652. Calculate the remainder when a is divided by y(2).
14
Let h be (96/(-30))/(1/(-5)*2). Calculate the remainder when 52 is divided by (-575)/(-20) - 6/h.
24
Let v(p) = p**2 - p. Let u(j) = 7*j**2 - 4*j + 5. Let i(k) = u(k) - 6*v(k). Let w = 1669 + -1661. What is the remainder when i(-6) is divided by w?
5
Let b(v) = 29*v + 66. What is the remainder when b(10) is divided by 21?
20
Suppose 0 = -4*w - 17 - 7. What is the remainder when 35 is divided by (33/w - -1)*-1*2?
8
Let y(z) = -59*z - 223. What is the remainder when y(-7) is divided by 28?
22
Calculate the remainder when -7*-16*7/7 is divided by 19.
17
Let j be 22/(-165) - (-17)/15. Let p(w) = -52*w**3 - 2*w**2 - 3*w - 2. Calculate the remainder when p(-1) is divided by 14 + -4 + 2 + j.
12
What is the remainder when ((-4)/(-10))/((-7)/(13160/(-16))) is divided by 9?
2
Suppose 0 = 109*f - 100*f - 108. Calculate the remainder when 18 is divided by f.
6
Suppose 93 = 4*t - 135. Suppose -6*k = -21 - t. Calculate the remainder when 76 is divided by k.
11
Let i(q) = q**3 + 16*q**2 - 6*q - 56. What is the remainder when 155 is divided by i(-16)?
35
Suppose 371 = 5*u - 14. Let t = u + -42. Calculate the remainder when t is divided by 14.
7
Let m be (-201)/2 + -4*6/(-48). Calculate the remainder when 121 is divided by (-3)/1*m/12.
21
Suppose -8*r - 23 = -63. Suppose -4*q = 8, -2*h = r*q - 4 + 2. Calculate the remainder when 8 is divided by h.
2
Let u(z) = 5*z + 314. Calculate the remainder when 311 is divided by u(-42).
103
Let b be 60*(336/(-20))/7. Let g = 204 + b. What is the remainder when g is divided by 17?
9
Let o(x) = -26*x + 1. Suppose 0 = 2*a + 2*a - 2*n + 6, 5*a + 5*n + 15 = 0. What is the remainder when o(a) is divided by 11?
9
Suppose 1 = 2*s - 3*s, 0 = 3*t - s + 335. What is the remainder when ((-1)/2)/(1 + 116/t) is divided by 3?
2
Let v(c) = c**3 + 8*c**2 - 3*c - 1. Let q be (1/3)/((-1)/(-9)). Let y be -4*(4 + (1 - q)). Calculate the remainder when 90 is divided by v(y).
21
Suppose 5*p - 15 = 0, 3*r - 138 = -2*p - 36. Let k = -31 + r. What is the remainder when 18 is divided by (-2 + k)/((-13)/91)?
4
Let h be (-92)/6 - 22/33. Let c = 75 + h. Suppose -2*n + n + 38 = -3*k, 3*n - c = -2*k. Calculate the remainder when 68 is divided by n.
22
Suppose 0 = 2*y - 4, -g - 60*y + 131 = -61*y. Calculate the remainder when g is divided by 64.
5
Let b = 0 + 2. Suppose -u = 3*t - 37, 46 - b = 4*t + 4*u. What is the remainder when 48 is divided by t?
9
Let d = -14 + 19. Let o(u) = 2*u**2 + 8*u - 4. Let w be o(d). Let x = w + -13. What is the remainder when x is divided by 19?
16
Calculate the remainder when 74 is divided by (-14)/(-4)*400/70.
14
Suppose 5*b - 8 - 2 = 0, -4*b = -5*m + 352. Calculate the remainder when 203 is divided by m.
59
Let t(o) = o**2 - 6*o + 23. What is the remainder when 91 is divided by t(6)?
22
Suppose 3*c + 265 = 5*x, -14*c = -3*x - 17*c + 183. Calculate the remainder when x is divided by 36.
20
Let h = -9 + 17. Suppose 116*p - 90 = 110*p. Calculate the remainder when p is divided by h.
7
Let y(l) = 33*l - 358. What is the remainder when y(17) is divided by 115?
88
Suppose 2*c + 10 = 3*c - 2*p, -3*p = -c + 13. Let x(r) = -r**2 + 11*r - 12. Calculate the remainder when 62 is divided by x(c).
14
Suppose 0 = -5*q + 4*s - 521, 0 = -4*q - 4*s + 2*s - 396. Let h = -63 - q. What is the remainder when 74 is divided by h?
36
Suppose -117 = -3*g - 2*m + 178, -g - 4*m = -95. What is the remainder when 113 is divided by g?
14
Let h be (-2)/11 + 906/22. Let x = h + -18. What is the remainder when 41 is divided by x?
18
Let a(c) = 1. Let y(q) = -18*q - 54. Let p(n) = -54*a(n) - y(n). What is the remainder when 142 is divided by p(2)?
34
Suppose -172 = 5*s - 332. Calculate the remainder when 2269 is divided by s.
29
Let b = 69 + 67. Suppose 0 = -30*g + 26*g + b. What is the remainder when g is divided by 12?
10
Suppose 4*v = 5*i + 111, 5*i - 2*i = -4*v + 87. Suppose -2*h + 52 = -v. Suppose s + 14 = h. What is the remainder when 47 is divided by s?
23
Suppose 0 = 2*r - 100 + 2. Let a be (6 - -8) + -1 + 3. Let l = a - 3. Calculate the remainder when r is divided by l.
10
Let x = -143 - -332. What is the remainder when x is divided by 10?
9
Let g = 16 + -11. Suppose 301*q + 582 = 307*