inder when 129 is divided by s.
9
Suppose 19623*s = 19614*s + 2907. Calculate the remainder when s is divided by 129.
65
Let s(z) = z + z + 0*z - 4*z + 29. Let h be s(12). Suppose 0 = -l - 5, 83 = 3*u + h*l - 39. Calculate the remainder when u is divided by 18.
13
Suppose -2*f + 601 = -g, -5*f - 233 = 3*g - 1730. Suppose -3*r + 2*p + f = 0, 3*r + 5*p - 181 = r. Calculate the remainder when r is divided by 26.
20
Let j = 807 + -804. Suppose -a - 8 = -2*z + 2*a, z + 3*a = 4. What is the remainder when z is divided by j?
1
Suppose 10*a - 9 - 11 = 0. What is the remainder when 60 is divided by 3 + a + 0 + 1 + 12?
6
Suppose 5*o - 3397 = 3*n, 4*o - 4*n - 1804 = 920. Calculate the remainder when o is divided by 154.
61
Suppose -6*p + 3*p + 60 = 0. Suppose 0 = 27*h - 159 + 24. Suppose 402 = 4*w + 4*l - 66, -h*l = -2*w + 248. What is the remainder when w is divided by p?
19
Suppose 4*g = -4*u + 24, 2*g - 2*u = -0*u + 8. Suppose g*d - 3*w = 178, 3*w + 2*w - 58 = -d. What is the remainder when d is divided by 3/12 + 2 + (-94)/(-8)?
10
Let u(m) = -24*m**3 - 1. Suppose -10*d = -6*d - 5*w + 24, 4*d + 5*w - 16 = 0. Calculate the remainder when 69 is divided by u(d).
0
Suppose 18*h = 4*h + 490. Let p = -47 + 184. Calculate the remainder when p is divided by h.
32
Suppose 3*i + 67 = v + 307, -5*v = -3*i + 240. What is the remainder when 114 is divided by i?
34
Let i = 1936 + 12101. What is the remainder when i is divided by 135?
132
Suppose -9 = -4*p + 7. Let j = 1376 + -1044. Suppose 0*r - j = -p*r. Calculate the remainder when r is divided by 12.
11
Let v = 6775 - 6711. What is the remainder when 277 is divided by v?
21
Let p(t) = -8*t**2 + 13*t - 9. Let f(k) = -2*k**2 - 6 + 3 + 3*k**2 + 2. Let i(h) = -5*f(h) - p(h). What is the remainder when i(7) is divided by 18?
16
Let k = 963 - 965. What is the remainder when 113 - (1 - 2 - -1) is divided by (-120)/(-9)*((-1)/k + 1)?
13
Let d(v) = -1970*v + 2*v**2 + 1968*v - 4 + v**2. Let q be d(2). Calculate the remainder when (-3)/6*-8*q is divided by 6.
4
Let x(j) = -6*j**2 - 91*j - 62. What is the remainder when 574 is divided by x(-10)?
78
Suppose 9*i = 90 + 432. Suppose i = 5*d - 132. Suppose -4*k + 6*k = d. What is the remainder when 35 is divided by k?
16
Let a = 3929 + -3167. Calculate the remainder when a is divided by 251.
9
What is the remainder when ((-128862)/(-21) - 0)/((-99)/(-462)) is divided by 18?
16
Let h = -116 - -42. Let d = -144 + 97. Let t = d - h. Calculate the remainder when t is divided by 7.
6
Let s = 5564 + -5459. Suppose f - 17 - 10 = 0. Calculate the remainder when s is divided by f.
24
Suppose 61*v - 1800 = 16*v. What is the remainder when 853 is divided by v?
13
Let g = -1539 - -1569. Calculate the remainder when 119 is divided by g.
29
Suppose 5*c = 5*r + 5, 0 = -5*r - 3*c + 3. Suppose 13*f - 985 = 9*f - 3*x, r = 2*x + 10. What is the remainder when f is divided by 18?
16
Suppose 16*n - 8174 = -7630. Calculate the remainder when 4568 is divided by n.
12
Let m = 177 - 170. Let k(g) = 22*g - 89. What is the remainder when k(m) is divided by 6?
5
Let m = -73 + -8. Suppose 0 = 3*f + 3, 4*f = z - 3*z - 134. Let w = z - m. What is the remainder when 44 is divided by w?
12
Suppose -86*f + 200*f = 24*f + 23040. What is the remainder when f is divided by 123?
10
Suppose s = 3*f - 2778, 4*f - 3078*s + 3082*s = 3656. Calculate the remainder when f is divided by 53.
22
Let k(t) = -46*t + 230. Calculate the remainder when k(-2) is divided by 67.
54
Let l be (-1)/(4 + (-63)/14). Suppose 24*u = l*u + 4004. What is the remainder when u is divided by 33?
17
What is the remainder when (-6 - -5)*(-450 - (-1 - 3)) is divided by 86?
16
Suppose 4*t - 4 = 0, -5*v - 167*t = -168*t - 89. What is the remainder when v is divided by 93/9 + 6/9?
7
Suppose -14 = 4*z - 5*z. Suppose 173 = 3*m - r + 14, -2*m - 2*r + 106 = 0. Suppose 0 = -66*u + 67*u - m. What is the remainder when u is divided by z?
11
Suppose 0 = 2*m - 19*v + 15*v - 15164, -m - 4*v + 7612 = 0. What is the remainder when m is divided by 155?
152
Suppose 35*b - 39*b + 672 = 0. Suppose 0 = r + 7*r - b. What is the remainder when r is divided by 19?
2
Suppose 10 = 2*s - 4. Suppose -33*d = -30*d - 138. Suppose -2*a + 14*i - 10*i = -d, -5*a + 2*i + 75 = 0. What is the remainder when a is divided by s?
6
Let a(o) = -o**2 - 10*o - 16. Let u be a(-7). Suppose b + 1 = u. Let t(s) = 6*s**2 - 2*s - 6. Calculate the remainder when t(b) is divided by 14.
12
Let s = 48 - 9. Suppose -5*t + 93 = -157. Let v = t - s. What is the remainder when 18 is divided by v?
7
Let o(w) = -7*w - 98. Let g be o(-15). Let n(p) = -p**2 + 21*p + 13. Let m = -22 - -45. What is the remainder when n(g) is divided by m?
19
Let r(v) = -v**2 + 17*v + 55. Let i be 21*((-32)/(-4) + -2). Let y = i - 107. Calculate the remainder when 31 is divided by r(y).
14
Let m(w) be the third derivative of 31*w**2 + 0 + 0*w + 3/20*w**5 + 5/3*w**3 - 5/24*w**4 + 1/60*w**6. What is the remainder when 98 is divided by m(-5)?
8
Let n(q) = -5*q**3 - q**2. Let d be n(-1). Suppose x = d*x + 12. What is the remainder when 64 is divided by -1 + 0 + (31 - x)?
30
Suppose -6 = -3*u + 2*w, 7*w = 3*u + 3*w. Suppose 0 = -u*x + 687 + 989. Calculate the remainder when x is divided by 20.
19
Calculate the remainder when 8700/20 + (5 - 13) is divided by 141.
4
Suppose 2*t - y - 266 = 0, -t = -4*t + 3*y + 399. Let j = -2265 + 2285. What is the remainder when t is divided by j?
13
Let g(m) = 10*m + 3. Calculate the remainder when 180/(-135) + 25/3*1 + 88 is divided by g(3).
29
Let u be 10 + -12 - (0 + 4) - 4. What is the remainder when 187 is divided by 15/6*((-222)/u - 7)?
35
Let t = -74 - -319. Suppose 2*b - 65 = -225*i + 228*i, 0 = 3*b + 2*i - 39. What is the remainder when t is divided by b?
17
Let z be (3 - (-10)/(-4))/(4/(-616)). Let c = z - -66. Let x = 30 - c. Calculate the remainder when x is divided by 21.
20
Calculate the remainder when (-30173)/(-110) + -2 - (-5)/((-250)/15) is divided by 13.
12
Let u be -78*(-2 - (-15)/9). Suppose -3*g + 31 + u = 3*l, 0 = 3*g - 3. What is the remainder when 71 is divided by l?
17
Let g(x) = 21*x**3 + 3*x**2 - 3*x + 5. Suppose 7 = -12*m + 31. Calculate the remainder when g(m) is divided by 22.
3
Let d = 48 + -27. Suppose 9 - 39 = 2*b + 2*r, -3*b = 4*r + 44. Let v(q) = -q**2 - 21*q - 19. What is the remainder when v(b) is divided by d?
19
Suppose -5 = f - 2*f. What is the remainder when ((-5 - 9) + 7 + -30)*-1 is divided by f?
2
What is the remainder when ((-18060)/(-252))/(15/126) is divided by 258?
86
Suppose -4*d - 25 = 4*h - 1, -3*h + 4*d = -10. Let q(v) = -v**3 + v**2 + v + 38. Calculate the remainder when (454 + h)/4 + -1 is divided by q(0).
36
Suppose -5*p - 10 - 35 = 0. Let s be 0*(p/6 + 2). What is the remainder when -1 - s/1 - (-896)/14 is divided by 17?
12
Suppose -2*u + 7*p + 1452 = 0, -2200 = -3*u - 123*p + 128*p. Calculate the remainder when 748 is divided by u.
8
Let o(l) = -105*l + 222. What is the remainder when 1027 is divided by o(2)?
7
Let r(t) = 2*t**3 - 6*t**2 - 4*t - 8. Let w be r(5). Suppose 443*h = 451*h - w. Calculate the remainder when 34 is divided by h.
7
Let z = -5039 - -5196. What is the remainder when z is divided by 28?
17
Let u(b) = b**3 - 7*b - 9*b**2 - b**2 - 142 + 128. What is the remainder when u(11) is divided by 11?
8
Suppose g + g = 32. Let f = -1 - -63. What is the remainder when f is divided by g?
14
Suppose 0 = 91*l - 81831 - 1161. What is the remainder when l is divided by 61?
58
Let k = 177 + -162. Suppose 0 = -5*n - 12*w + k*w + 57, 3*n = 3*w + 39. What is the remainder when 44 is divided by n?
8
Let k = -15681 - -20966. What is the remainder when k is divided by 50?
35
Let r = 17539 + -17527. Calculate the remainder when 8807 is divided by r.
11
Suppose -a = 3*a - 40. Let b be a/2*(0 + 1). Suppose 0 = -4*w + 29 - b. What is the remainder when 40 is divided by w?
4
Let f = -13 - -13. Suppose f = 4*m - y - 28, -4*m + 7*y + 32 = 5*y. Suppose k - 8 - m = 0. Calculate the remainder when 43 is divided by k.
1
Let u = -318 + 371. Suppose -4 = 2*f, -f - u = -3*g - 3*f. What is the remainder when 52 is divided by g?
14
Let t(g) = -10*g**2 + 47*g + 3. Let p be ((-1)/(-3))/(7/(-378)*-6). Calculate the remainder when 160 is divided by t(p).
52
