t m be k(-1). Suppose i - 3*i = 4*l - m, 0 = 2*i - 8. What is the remainder when 43 is divided by l?
20
Suppose 5*u = 2*u + c - 16, -12 = u + 3*c. Let n = 29 + -41. Let z = u - n. Calculate the remainder when 17 is divided by z.
5
Let v(n) = -n**2 - 33*n + 161. Calculate the remainder when v(-31) is divided by 28.
27
Let r(n) = 3*n**3 - 3*n**2 + 3*n + 5. Let m be r(3). Let g = -57 + m. Calculate the remainder when 54 is divided by g.
10
Let q(r) = -31*r - 128. Calculate the remainder when 132 is divided by q(-5).
24
Let t = -17 + 16. Suppose 3*j - 4*j - 3*v = -4, j + 4*v = -1. Calculate the remainder when 1 + 39 + -2 + t is divided by j.
18
Suppose -2*q - p + 488 = 0, -4*q + 970 = -25*p + 30*p. Calculate the remainder when q is divided by 47.
10
Suppose -9*n + 173 = 29. What is the remainder when 78 is divided by n?
14
Suppose -110 = -g - 0. What is the remainder when 657 is divided by g?
107
Let f(l) = -3*l - 4. Let z be f(-2). Let j be (-1)/z - (-3)/6. Suppose 4*m - 6*m + 34 = j. What is the remainder when 82 is divided by m?
14
Suppose 5 = 7*h - 2*h - 5*y, 2*h + 4*y = 2. Let c(r) = 44*r**2. What is the remainder when c(h) is divided by 0 - (-58)/5 - (-56)/140?
8
Suppose -130 = -5*j - 3*l + 406, -2*l = 5*j - 539. What is the remainder when 758 is divided by j?
104
Let d be (-2)/11 + 70/22. Suppose 5*n + d*y - 77 = 0, y - 5*y - 49 = -5*n. Calculate the remainder when 51 is divided by n.
12
Let k(h) = 10*h**3 + h**2 - 2*h. Let o be k(-2). Calculate the remainder when (-82)/(-8) + 18/o is divided by 6.
4
Suppose -24 = -3*h - 3*u, 3*u - 31 = -2*h - 2*u. Suppose -42 = 5*x + 4*j, -h*x + 8*x + 45 = -5*j. Calculate the remainder when 25 is divided by 75/10 + 3/x.
4
Let t = 153 + 94. Calculate the remainder when t is divided by 10.
7
Suppose -61*h - 71568 = -117*h. Calculate the remainder when h is divided by 61.
58
Let q = 336 + -142. Calculate the remainder when q is divided by 40.
34
Suppose t = -2*n + 876, -545 = -n + 3*t - 114. What is the remainder when n is divided by 74?
67
Suppose -4*x - 77 = 4*c - 205, 3*x + 5*c - 100 = 0. What is the remainder when x is divided by 22?
8
Let z(v) = 1. Let t(f) = 2*f + 4. Let p(k) = t(k) - 2*z(k). What is the remainder when 14 is divided by p(3)?
6
Let t(j) = 2*j**3 + j**2 - 2*j + 5. What is the remainder when t(3) is divided by 11?
7
Let i = -41 + 65. Suppose t - 54 = 15. Suppose -4*r = -5*r + t. Calculate the remainder when r is divided by i.
21
Suppose 4*a - 2*a = -3*z + 84, -56 = -2*z + 6*a. Calculate the remainder when z is divided by 6.
4
Suppose 4*f + 18 = -3*k, -9 = 4*f + 2*k + 7. What is the remainder when -86*(-1)/(-6)*f is divided by 15?
13
Let l(r) = r - 2. Let j be l(3). Suppose 0 = -4*a - 4, 5*w - 3*w + 5*a = 39. What is the remainder when w is divided by ((-8)/(-5))/(j/5)?
6
Suppose 6 = -i + 4*d, -2*i = i + 5*d - 67. Suppose 20 = 5*l - l. Suppose -6*x = 3*g - x - 24, -3*x = -l*g + 40. Calculate the remainder when i is divided by g.
6
Let q be 4/(-14) - (74/(-14) + 2). Suppose -q*p + 42 = -12. Calculate the remainder when 49 is divided by p.
13
Let q = 12 + 1. What is the remainder when ((-111)/(-74))/(2/68) is divided by q?
12
Let m(t) = 19*t**2 + 42*t - 9. Calculate the remainder when m(3) is divided by 135.
18
Let y(h) = -h - 9. Let t be y(-9). Calculate the remainder when 51 is divided by (-3)/9*(78 + t)/(-2).
12
Calculate the remainder when 410 is divided by -7 + 40/8*(1 + 17).
78
Suppose -2*b = -3*v - 10, 10 = -2*v + 2*b - 0*b. Suppose v = -8*n + 9*n - 6. Calculate the remainder when 4/(-2)*55/(-10) is divided by n.
5
Let g = 12 - 6. Suppose -3*f = -f - g. Let y(w) = -3*w**2 + 14*w + 1. What is the remainder when y(4) is divided by f?
0
Let y(s) = -3*s**3 + 13*s**2 - 16. Let b(r) = -13*r**3 + 52*r**2 - 64. Let j(c) = 2*b(c) - 9*y(c). What is the remainder when j(13) is divided by 9?
7
Let x(y) = 2*y - 1. Let l be x(-2). Let q be l/(-5) + (2 - 0). Suppose q*o + o - 72 = 0. Calculate the remainder when 35 is divided by o.
17
Suppose -110*t + 341 = -99*t. Calculate the remainder when 184 is divided by t.
29
Let v(n) = n**3 - 12*n**2 + 10*n + 15. Let t be 8 + -8 + (1 - -10). Let d be v(t). Suppose -2*w + 6 = -d. What is the remainder when w is divided by 3?
2
Let t(d) = -d**3 + 9*d**2 + d. Suppose 5*v = 3*v + 18. Calculate the remainder when t(v) is divided by 6.
3
Let a = 194 - 112. Calculate the remainder when a is divided by 22.
16
Suppose -16 = -4*c - 0. Suppose -c*u + 1 = -203. What is the remainder when u is divided by (-1 - 0)/((-2)/52)?
25
Let j = -18 + 1. Let p = j + 25. Suppose p*t - 90 = 3*t. Calculate the remainder when t is divided by 6.
0
Let j(g) = g**2 + 13*g + 4. What is the remainder when 74 is divided by j(2)?
6
Suppose 0 = -6*r + 11*r + 100. Let p = 36 + r. What is the remainder when 43 is divided by p?
11
Suppose 2*l + 3*k = 49, 5*k - 2 = 23. Calculate the remainder when 114 is divided by l.
12
Suppose 4*k + 16 = 2*d - d, 0 = 4*d - k - 139. What is the remainder when d is divided by (8*4/(-16))/((-2)/21)?
15
Suppose -2*y = -187 + 137. What is the remainder when 141 is divided by y?
16
Suppose -198*m + 189*m = -108. What is the remainder when 101 is divided by m?
5
Suppose p - 4*p - k + 72 = 0, -5*p = -4*k - 137. What is the remainder when (-1 - -2) + p + -2 is divided by 9?
6
What is the remainder when (-185)/(-2)*4/5 is divided by 16 - 5/(-35)*-7?
14
Let n = 22 - 7. Suppose k = -n + 39. What is the remainder when 93 is divided by k?
21
Let w(n) = 56*n - 2 + 142*n - 71*n. What is the remainder when w(1) is divided by 18?
17
Let d(y) = -y - 3. Let t be d(0). Let n(p) = -2*p**3 - 31*p**2 - 16*p - 35. Let v be n(-15). Let j = t - v. What is the remainder when 50 is divided by j?
16
Suppose -14*k = -12*k - 240. Suppose -4*u = 5*w - 232, 3*w - k = -2*u + 20. Calculate the remainder when w is divided by 10.
8
Let l = 368 + -178. Suppose -2*c + l = 3*c. Calculate the remainder when 1104/(-414) - 455/(-3) is divided by c.
35
Suppose a - 5*a + 2 = f, 4*f - 28 = 4*a. Suppose -5*i - f = -71. Let m = 196 - 172. What is the remainder when m is divided by i?
11
Suppose -11 = -3*z - 14. Suppose -4*t - 14 = -2*r - 3*r, -5*r = -5*t - 15. What is the remainder when z/(-3) + 42/9 is divided by r?
1
Let q(k) be the first derivative of 15*k**2 - 13*k - 14. What is the remainder when q(7) is divided by 40?
37
What is the remainder when 48/9*27/4 is divided by 13?
10
Let k = 2 - -21. Let o(u) = 25*u**2 - 97*u + 23. Calculate the remainder when o(4) is divided by k.
12
Let w = 5 + -9. Let t(v) = -1 + 286*v - 158*v - 138*v. Calculate the remainder when t(w) is divided by 20.
19
Calculate the remainder when (-1 - 0)/(12/(-2952)) + 5 is divided by 11.
9
Let a = 171 - 127. Calculate the remainder when a is divided by 9.
8
Let n(d) = 20*d**2 - d - 2. What is the remainder when n(-1) is divided by ((-7)/4)/((-6)/24)?
5
Suppose -5*g + 560 = -0*g. Let n = 122 - 84. Calculate the remainder when g is divided by n.
36
Suppose 5*h + 3*x = -x + 133, 4*h + 3*x - 106 = 0. Calculate the remainder when 249 is divided by h.
24
Let q(i) = -i**3 - 6*i**2 - 4*i - 41. Calculate the remainder when q(-9) is divided by 49.
42
Let z = -1611 + 1639. Calculate the remainder when 263 is divided by z.
11
What is the remainder when -1 + -1 + 2773/47 is divided by 7?
1
Suppose n - 71 = 4*j, -4*n = -3*j + 7*j + 56. Let p = 23 + j. Suppose p*m = m + 65. What is the remainder when 35 is divided by m?
9
Suppose -u - 3*s + 54 = 0, 3*u + 216 = 7*u - 4*s. Calculate the remainder when 213 is divided by u.
51
Suppose -2*i + 332 = -5*m, i - 4*m = 75 + 91. Suppose -322 - 188 - 102 = -18*j. What is the remainder when i is divided by j?
30
Let c(x) = -x**3 - x + 2. Let k be c(0). Suppose 0 = 2*f + k*f. Suppose f = -4*p + 8 + 52. Calculate the remainder when 55 is divided by p.
10
Suppose -2*p - 19 = -5*a, p - 4 + 3 = -a. Suppose 4 = -2*j + a*j. Suppose -j*k - 103 = -5*u, u + 5*k - 13 + 4 = 0. What is the remainder when u is divided by 7?
5
Let k = -14 + 33. Let h(f) = -f**3 + 18*f**2 - 5. Let y be h(18). What is the remainder when k is divided by -1*(y + (3 - 9/3))?
4
Calculate the remainder when 41 is divided by -5 + (8/(-44) - 864/(-33)).
20
Let d(x) = x**3 + 31*x**2 + 58*x + 16. What is the remainder when 51 is divided by d(-29)?
3