.
18
Suppose 5*w + 27*i = 29*i + 440, 4*w + 4*i - 352 = 0. What is the remainder when 3951 is divided by w?
79
Let d = -126 + 149. Let g(y) = -15*y + 1 + 6*y**2 + 17*y - 14. What is the remainder when g(4) is divided by d?
22
Let v(q) be the first derivative of q**3/3 - q**2/2 + 7*q - 70. Calculate the remainder when 52 is divided by v(-5).
15
Let f = -6 + 4. What is the remainder when (28 + -138 + 41)*1/(-3) is divided by (f/(-6))/((-1)/(-9))?
2
Suppose 21 = p - 1. Let t(k) = 889*k - 51510. What is the remainder when t(58) is divided by p?
8
Let i(f) = -10*f**2 + 11*f**2 + 3*f + 5*f + 4*f + 12. Suppose 4*l - 57 = 3*k, -2*l = 4*k - 3*k - 31. Calculate the remainder when i(-15) is divided by l.
12
Suppose 4*o + 9 = d + 11, -4*d - 8 = -o. Suppose 31*k + 18*k - 294 = o. Calculate the remainder when 89 is divided by k.
5
Suppose -20*x + 4015 = -26165. Calculate the remainder when x is divided by 27.
24
Suppose 6 = 5*p - 9, v + 28 = 2*p. Let i = 26 + v. Calculate the remainder when 48 is divided by 2/i*(26 - 0).
9
Suppose -13*b + 884 = -0*b. Suppose -r + 18 = 3*u, -5*r + 0*r = 4*u - 35. Suppose r*k - k = b. What is the remainder when 67 is divided by k?
33
Suppose t - y + 5*y - 27 = 0, 3*y - 6 = 0. Let v(s) = -34*s - 57. Let r be v(5). Let l = r - -255. What is the remainder when l is divided by t?
9
Let r(v) = -17*v**3 + v. Let q be r(-1). Suppose 17*u = 12*u + 120. Let f = u - q. What is the remainder when 31 is divided by f?
7
Let p = 11092 - 10752. Calculate the remainder when p is divided by 87.
79
Let g(r) = -11*r + 114. What is the remainder when g(-7) is divided by 53?
32
Let z = -4152 + 4256. What is the remainder when 1871 is divided by z?
103
Let n(x) = -2*x + 2. Let v be n(1). Let b = 556 - 507. Calculate the remainder when b is divided by v + -3 + -1 - -30.
23
Let o = 199 + -122. What is the remainder when o is divided by 23 + (3/4)/(51/272)?
23
Suppose -5*a = a - 12. Let t(i) = 674*i + 0 - 675*i + 5 + a*i**3. What is the remainder when 54 is divided by t(2)?
16
Let k = 8323 + -8028. What is the remainder when k is divided by 16?
7
Suppose 4*a = 5*r - 3964, 34*r - 31*r + 6*a - 2328 = 0. What is the remainder when r is divided by 3?
2
Suppose 4*o = 3*b + 45, 2*b - 6*o + 25 = -5*o. Let k = 169 - 185. Let g = b - k. Calculate the remainder when 29 is divided by g.
4
Let o(h) = h**3 + 17*h**2 - 19*h - 7. Let k be -3*6/63 - 248/14. Calculate the remainder when 17 is divided by o(k).
6
Suppose -3*j - 3 = 0, 3*q - 1 - 10 = 5*j. Suppose -3*m = -w + 7 + q, -4*w + 80 = -m. Calculate the remainder when w is divided by (-1 - -9)*9/6.
9
Suppose 21*y + 25*y - 35361 = 20207. What is the remainder when y is divided by 1204?
4
Suppose 126 = 828*x - 411*x - 411*x. Let z = 129 - 53. Calculate the remainder when z is divided by x.
13
Suppose -1009 - 583 = -173*j - 381. Calculate the remainder when 1668 is divided by j.
2
Suppose -5*w + 60 = z, -4*w + 4*z + 34 = 2*z. Suppose -14*t + 4*b = -19*t + 928, -3*t + 3*b = -546. What is the remainder when t is divided by w?
8
Let q(u) = u**3 - 17*u**2 - 84*u + 175. What is the remainder when 1048 is divided by q(21)?
173
Suppose -3*y + 2*h + 162 = 0, 0 = -h - 3. Suppose y*x = 56*x - 12. Calculate the remainder when 4 is divided by x.
1
Suppose -69*m + 68705 - 4341 = -7534. Calculate the remainder when m is divided by 6.
4
Suppose 70*x - 14331 = 117*x - 64*x. Calculate the remainder when x is divided by 272.
27
Let z = -8 - -91. Let x = z - 47. Calculate the remainder when 215 is divided by x.
35
Suppose -7*k + 53 = -129. Suppose 5*y + 49 = 2*o, -y - k = 3*o - 4*o. Suppose -5*u + 21 = i + 2*i, -5*u = 0. What is the remainder when o is divided by i?
6
Let q(r) = 43*r**2 + 1. Let z = 3404 - 2967. Calculate the remainder when z is divided by q(-1).
41
Let b = 2006 + -1914. What is the remainder when 529 is divided by b?
69
Let y(k) = 9*k + 6249 - 6204 - k**2 + 2*k**2. What is the remainder when 447 is divided by y(0)?
42
Calculate the remainder when 8909 is divided by 29 - (66/154 - (22/(-14))/1).
26
Let i(g) = 121*g**2 + 4*g - 14. Let w = 99 + -19. Calculate the remainder when i(2) is divided by w.
78
Let l(u) be the first derivative of -u**3/3 - 5*u**2/2 + 43*u + 155. Calculate the remainder when l(-7) is divided by 7.
1
Let r be (-30)/(-4)*16/20. Suppose -k + 122 = -3*m, -k + r*k - 642 = -m. Calculate the remainder when k is divided by 26.
24
Let j = 45 + -31. Let o = -222 + 224. What is the remainder when j is divided by (-1)/o - 110/(-20)?
4
Suppose -5*z = b - 139, -189*b + 157 = 5*z - 191*b. What is the remainder when 68 is divided by z?
10
Let n = -1501 + 2251. Calculate the remainder when n is divided by 110.
90
Let q(o) = -4*o - 5. Let k(n) = 2*n**2 + 13*n - 12. Let f be k(-7). Calculate the remainder when 193 is divided by q(f).
13
Let k = 7084 - 7074. What is the remainder when 524 is divided by k?
4
Suppose -3024 = -11*q + 2*q. Let j = q - 294. What is the remainder when 244 is divided by j?
34
Suppose 4*l = -2*p - l - 11, 5*p + 4*l = -2. What is the remainder when 24 is divided by p/(5 + (-238)/49)?
10
Let l(t) = -93*t - 16. Suppose 0 = -4*s + 4*q + q + 68, -2*s - 4*q + 60 = 0. What is the remainder when l(-1) is divided by s?
11
Let s(k) = -2*k**2 - 3*k + 13. Let u be s(5). Let g = 69 + u. What is the remainder when 48 is divided by g?
14
Suppose -t - 41 = 22. Let w(h) = -h**2 - 64*h - 314. Let m be w(-57). Let o = t + m. Calculate the remainder when o is divided by 13.
9
Let c(t) = t**3 + 98*t**2 - 608*t + 7. Calculate the remainder when c(6) is divided by 772/20 + 6/(-10).
27
Let b(n) = -18*n + 153. Calculate the remainder when 313 is divided by b(6).
43
Let m(i) = i**3 - 22*i**2 + 30*i + 30. Let s be m(23). Suppose 5*l = 5*t - 1565, -2*t + 5*l + s = 2*t. What is the remainder when t is divided by 46?
40
Let n = 520 + -439. Suppose 78*j = n*j - 84. Calculate the remainder when 867 is divided by j.
27
Suppose 3*a = -u + 2*a - 1605, 2*u + 3195 = a. Let m = u - -3272. What is the remainder when (-4)/(-22) - m/(-121) is divided by 8?
6
Let a = -14146 - -14201. Calculate the remainder when 376 is divided by a.
46
Suppose -857 - 270 + 308 = -21*i. Suppose 14 = 4*n + 5*l - 32, n + 4*l = 6. Calculate the remainder when i is divided by n.
11
Let l(r) = -22*r - 1. Suppose -3*k - 6 = -2*k + 3*o, 0 = o. Let m be l(k). Suppose -18 + m = x. What is the remainder when x is divided by 38?
37
Let g = 2153 - 2112. Calculate the remainder when 193 is divided by g.
29
What is the remainder when 1394 is divided by -11*78/143 - 4/((-4)/469)?
5
Let b(i) = -39*i + 1291. Calculate the remainder when 201 is divided by b(31).
37
Suppose 0 = 5*j - 9*j + 12. Suppose -333 = -5*f - 3*u + 1261, j*f - 960 = -3*u. Calculate the remainder when f is divided by 16.
13
Let c(m) = -32*m**2 - 188*m - 227. Calculate the remainder when (1*-3)/(1/(-32)) is divided by c(-4).
5
Suppose -126 = -3*l + 72. Let x = l - 63. Suppose q = 2*j - 59, 6*q - x*q = -9. Calculate the remainder when j is divided by 10.
8
Let t = -2 - -4. Suppose -2*s + d = t*d - 58, 84 = 3*s + 3*d. Suppose -8*o + 60 = -3*z, 102 - 95 = 3*o - 5*z. What is the remainder when s is divided by o?
3
Let l = -43 + 60. Calculate the remainder when (280/(-30))/((-24)/252) is divided by l.
13
Let d = -42 - -31. Let x(f) = 2*f**2 + 21*f - 15. Let o be x(d). What is the remainder when o + (10 - 1) - -23 is divided by 18?
10
What is the remainder when 1117 is divided by (-1 + 0)/(-1)*((-768)/(-8) + 16)?
109
Suppose -v - 9 + 2 = 4*t, 2*v - 4*t + 38 = 0. What is the remainder when (-5)/v*1722*(-1)/(-2) is divided by 48?
47
Let t = -2717 - -2760. Calculate the remainder when 105 is divided by t.
19
Let f(k) = 18*k + 245. Calculate the remainder when 213 is divided by f(-12).
10
Suppose -144*v + 166*v = 1958. What is the remainder when 275 is divided by v?
8
Let i(p) = -189*p**2 + 801*p + 9. Calculate the remainder when i(4) is divided by 36.
9
Let d(x) = 2*x**2 + 54*x + 57. Let y be d(-26). Suppose 0 = 5*n + 3*g - 389 - 389, n - 160 = -y*g. What is the remainder when n is divided by 40?
35
Suppose -107*v + 282 + 3101 = 494. Calculate the remainder when 942 is divided by v.
24
Let d(l) = 3*l**2 - l - 2. Calculate the remainder when (-2)/(-1) - ((13 - 124) + 255/(-15)) is divided by d(3).
20
