70
Suppose -4*u = 5*s - 133, -144 = -2*u + 5*s - 55. Suppose -u = -12*l + 11*l. Calculate the remainder when l is divided by 10.
7
Let l(s) = s**3 - 12*s**2 - 29*s + 19. What is the remainder when 17 is divided by l(14)?
2
Let b(f) = f**2 - 11*f. Let g(k) = 5*k**2 - 6*k + 4. Let m be g(2). What is the remainder when 28 is divided by b(m)?
4
Suppose 0 = 5*x + 2*u - 1031, 4*x = 5*u + 40 + 765. Calculate the remainder when x is divided by 52.
49
Let l(f) = -f**3 + 13*f**2 - 8. Let q be l(12). Suppose a - q = 6. Calculate the remainder when a is divided by 24.
22
Let l = 3 + 1. Calculate the remainder when (2/(-4) + (-3300)/24)/(-2) is divided by (-1)/l + (-145)/(-4).
33
Suppose -6*w + 60 = -w. Let v = -9 + w. Calculate the remainder when 5 is divided by 1 - v/(0 + -3).
1
Suppose -7*u + 120 = -4*u. Suppose -u = -3*c - v + 5*v, -2*v - 2 = 0. Calculate the remainder when 30 is divided by c.
6
Suppose 5*m = -8 + 18. Suppose 0 = m*o - o + 36. What is the remainder when 21 is divided by 110/(-33)*o/10?
9
Let m = 115 - 35. What is the remainder when 261 is divided by m?
21
Let q be ((-66)/8)/((-15)/40). Let l = q + -11. Calculate the remainder when l is divided by 6.
5
What is the remainder when 29 is divided by ((-124)/20 - -5)*20/(-6)?
1
Let h be 1/3*(-9 + 5 + 118). Suppose -h*q - 126 = -47*q. What is the remainder when 82 is divided by q?
12
Let b be (-4)/(-14)*1 - 688/7. Let i = -82 - b. Calculate the remainder when i is divided by 10.
6
Suppose 0 = 10*z - 27*z + 119. Let u be 948/10 - 1/(-5). Suppose 6*h - u = h. What is the remainder when h is divided by z?
5
What is the remainder when ((-2)/(-7))/((-6)/(-5628)) is divided by 27?
25
Calculate the remainder when 15/(-6)*(5 - 891/15) is divided by 47.
42
Let r(g) = -5*g**3 - 7*g**2 - 4*g. Let a(l) = -14*l**3 - 21*l**2 - 12*l. Let c(f) = 4*a(f) - 11*r(f). Calculate the remainder when c(-7) is divided by 18.
10
Suppose 4*c - 342 = c. Let n(s) = s**2 - 6*s + 10. What is the remainder when n(7) is divided by 39/(-15) - -2 - c/(-15)?
3
Let z be (44/(-4) + 2)*-1. Calculate the remainder when 430/z - (-6)/27 is divided by 17.
14
Suppose 4 = -3*z + 5*z. Suppose z*y - l = 99, -3*y + 0*l = l - 161. Suppose -5*u - y = -7*u. Calculate the remainder when 103 is divided by u.
25
Suppose p - u - 54 = 0, 0 = 14*p - 15*p - 2*u + 45. Let j(y) be the first derivative of y**3/3 - 3*y - 2. What is the remainder when p is divided by j(4)?
12
Let a(z) be the second derivative of -z**3/6 + 7*z**2/2 - 2*z. Let v be a(4). Suppose -2*c - v*c + 55 = 0. Calculate the remainder when c is divided by 4.
3
Let x(j) = -j**3 + 6*j**2 + 11*j - 10. Suppose 2*v - 13 = -w, -12*v - w + 6 = -11*v. What is the remainder when x(7) is divided by v?
4
Suppose 0 = -16*y + 18*y + 134. Let g = y - -84. What is the remainder when g is divided by 9?
8
Let l = 347 + -333. What is the remainder when 377 is divided by l?
13
Suppose 21*i - 8671 = -376. Calculate the remainder when i is divided by 12.
11
What is the remainder when 386 + 5/((-30)/24) is divided by 77?
74
Let k(g) = g + 17. Suppose 0 = -w + 5*w + 32. What is the remainder when 28 + -2 + -2 + 2 is divided by k(w)?
8
Let c(s) = -s**3 - 5*s**2 + 6*s - 8. Let v be c(-6). Calculate the remainder when v + 11 + 33 + -2 is divided by 5.
4
Suppose -2*u = -11*k + 7*k - 30, -5*u - 4*k = -61. Let a = 44 - 19. Calculate the remainder when a is divided by u.
12
What is the remainder when 4*174/4*25/30 is divided by 30?
25
Suppose 2*t + 20 = 2*n - 28, 3*t + 6 = 0. Suppose 4*v - 2*v - 32 = -4*w, -5*w + 2*v = -n. Calculate the remainder when 7 is divided by w.
1
Suppose 0 = 6*u - 194 + 56. Calculate the remainder when 228 is divided by u.
21
Suppose -23*z + 3771 = -20*z. Calculate the remainder when z is divided by 84.
81
Suppose 3*i + 18 = -27. Let j = -3 - i. What is the remainder when 57 is divided by j?
9
Let y(i) = 5*i + 12. Let o be y(-4). What is the remainder when (o + 7)*(1 + (-101 - 1)) is divided by 26?
23
Let s(u) = -46*u + 282. What is the remainder when 106 is divided by s(4)?
8
Suppose 18448 = 12*i + 4*i. What is the remainder when i is divided by 33?
31
Suppose 150*b - 49 = -d + 147*b, -4*b = -4. What is the remainder when 83 is divided by d?
37
Let g be 4*(-20)/(-32)*2. Suppose 5*k - 225 = -5*h - 25, g*h - 163 = -4*k. Let p(i) = i**3 - 3*i**2 - i - 2. Calculate the remainder when k is divided by p(4).
7
Suppose 6*f = f + 165. Suppose 0 = -9*d + 8*d + f. What is the remainder when d is divided by 12?
9
Let y be (-16)/(-12)*3/2. Suppose -5*v = -y - 13. Suppose 12 = v*q + q. Calculate the remainder when 7 is divided by q.
1
Let a = 13 - -1. Let p = -40 - a. Let x = p - -103. What is the remainder when x is divided by 17?
15
Let r(k) = -4*k + 1. Let j(x) = 9*x - 1. Let g(d) = 3*j(d) + 7*r(d). Let t be g(6). Let y(m) = -9*m + 2. What is the remainder when 78 is divided by y(t)?
18
Let g be (6/12)/((-2)/(8*-1)). Suppose -5*i + 581 = g*i. What is the remainder when i is divided by 18?
11
Let y(x) = 44*x + 220. What is the remainder when y(-4) is divided by 8?
4
Suppose -4*y - 131 = -4*h - y, 3*h = 5*y + 112. Let p = h + 82. Calculate the remainder when p is divided by 14.
13
Suppose -4*a + 123 = 2*y - 3*y, 0 = -5*a - 4*y + 159. Let t = 50 - a. What is the remainder when 56 is divided by t?
18
Suppose -5*t - 7*o + 74 = -6*o, -3*t + 41 = 4*o. Calculate the remainder when 23 is divided by t/10*48/9.
7
Let q = 678 + -668. What is the remainder when 53 is divided by q?
3
Let p = -16 - -11. Calculate the remainder when ((-33)/(-15) + -3)*p is divided by -3*((-15)/9 - -1).
0
Suppose 19*v = 15*v - 132. Let i be (-6)/v + 84/22. Suppose -2*k = 3*c + 7, k - 5*c - 4 = -i*c. Calculate the remainder when 2 is divided by k.
0
Let x(v) = 2*v**2 - 18*v + 2. Let l be x(9). Suppose -4 = -l*r + 6. Calculate the remainder when r is divided by 3.
2
Suppose -4*v - 11 - 84 = -5*m, -m = -5*v - 40. Let y = m - 0. What is the remainder when 41 - (-3 + -2 + 3) is divided by y?
13
What is the remainder when (-82)/(-3)*(-297)/(-22) is divided by 31?
28
Suppose -2*u + 2 = 0, 3*d = -2*u + 43 + 13. Let f be 8/52 - (-1644)/(-39). Let v = 75 + f. What is the remainder when v is divided by d?
15
Let s = -349 + 386. Calculate the remainder when 82 is divided by s.
8
Let q(g) = -g**3 + 10*g - 4. Calculate the remainder when q(-6) is divided by 21.
5
Suppose 11*w - 12*w = -5*t - 178, -372 = -2*w + 2*t. What is the remainder when w is divided by 65?
58
Suppose 81*r + 2277 = 6975. Calculate the remainder when 1043 is divided by r.
57
Let h = 0 - -2. Suppose -2*n = 5*j - 121 - 14, 5*j - 5 = 0. Suppose 5*w - n = t, -w + 4*t = h*t - 22. Calculate the remainder when w is divided by 7.
5
Suppose -1559 + 1464 = -19*t. Let x(r) = -r + 4. Calculate the remainder when x(-4) is divided by t.
3
What is the remainder when 186 is divided by 19*(1 - 4)/((-12)/8)?
34
Let i(g) = -23*g + 3. Let d be i(1). Let l = -10 - d. Calculate the remainder when 17 is divided by l.
7
Let i(a) = -a**3 + 9*a**2 - a + 13. Let f be 9/12*(3 - -9). Calculate the remainder when 9 is divided by i(f).
1
Let t(s) = s**2 + 52*s + 66. What is the remainder when 23 is divided by t(-51)?
8
Suppose 3*u - 70 = -36*m + 31*m, -4*m = -8. Calculate the remainder when 351 is divided by u.
11
Let y be 3/12 - ((-510)/8)/5. Suppose -2*p - y - 37 = -2*n, 0 = -p - 2. Calculate the remainder when 63 is divided by n.
17
Let u be (20/16)/(1/4). Suppose -5*y - 95 = -3*k, u*k - 242 = 3*y - 57. Suppose 2*b - 52 = k. What is the remainder when b is divided by 12?
10
Let l(c) = -6*c + 4. Let d be l(3). Let b = 29 + d. What is the remainder when 40 is divided by b?
10
Suppose 0 = -2*t - x + 30, -36 = -2*t - 5*x + x. Suppose -t*r + 36 = -5*r. What is the remainder when 15 is divided by r?
3
Let y(u) = -u**3. Let l(s) = 10*s**3 + s - 1. Let k(g) = -l(g) - 6*y(g). What is the remainder when 136 is divided by k(-2)?
31
Let m = 169 - 141. Calculate the remainder when 135 is divided by m.
23
Suppose 65 = a - 9. Let n = a - 65. Calculate the remainder when 70 is divided by n.
7
Suppose -2*a + 238 = -4*q - 1176, 3*a - 3*q = 2136. What is the remainder when a is divided by 80?
77
Suppose -6*o + 11*o - 45 = 0. Calculate the remainder when 14 is divided by o.
5
Let y = -28 - -54. What is the remainder wh