8
Suppose 0 = -3*c + 4*s + 25 + 10, c + 4*s + 15 = 0. Suppose -105 = -5*z - p - 16, -5*p - 5 = 0. What is the remainder when z is divided by c?
3
Let a(i) = -i**2 + 2*i + 1. Let l be a(2). Let s(y) = 21*y**3 + 2*y - 3. Calculate the remainder when 57 is divided by s(l).
17
Let l be (-15)/(1/((-6)/(-9))). Calculate the remainder when 33 is divided by (-120)/25*l/4.
9
Suppose -a = 4*a - t - 57, 61 = 5*a - 3*t. Suppose -6*o - 185 = -a*o. Calculate the remainder when o is divided by 13.
11
Suppose -173*x + 172*x + 4*h = -31, -125 = -3*x - 4*h. Calculate the remainder when 88 is divided by x.
10
Let w = -648 - -681. Suppose -5*f - 1 + 76 = 2*i, 4*i = 4*f - 32. Calculate the remainder when w is divided by f.
7
Suppose -6*z - 109 = 41. What is the remainder when z/2*48/(-20) is divided by 11?
8
Let k(v) = -v + 120. Let i be k(0). Let r = i - 103. What is the remainder when 135 is divided by r?
16
Suppose o = 3*o + 3*z - 51, -4*o - z + 77 = 0. Suppose 3*v - 15 = -3*j, 3*v - 5*v = -2*j + 10. What is the remainder when o is divided by j?
3
Let y(i) = -16*i + 66. Calculate the remainder when 16 is divided by y(4).
0
Suppose 3*n = -x + 180, 510 = 2*x + 5*n + 154. Let m = -273 + 307. What is the remainder when x is divided by m?
32
Let b = -1039 + 1042. Suppose -2*a + 2 = -2. Suppose -a*w + 2*n + 16 = 0, -4*w - n + 32 = -w. Calculate the remainder when w is divided by b.
1
Suppose 0 = 47*w - 43*w - 156. Calculate the remainder when 42 is divided by w.
3
Suppose 5*w - 3*n = 19, -2*n - 10 = -3*w + w. Suppose -5*o - 64 = w*b + 5, 5*b - 5*o + 155 = 0. What is the remainder when 43 is divided by 4/(-8)*(b - -2)?
13
Let m = -25 - -7. Calculate the remainder when 2/(-6) - 1194/m is divided by 35.
31
Let z(j) = -10*j + 25*j + 0 - 1. Calculate the remainder when 86 is divided by z(2).
28
Let d be 1*59*(7 - 6). Suppose d = 4*p - 1. Calculate the remainder when 59 is divided by p.
14
Suppose -32*q + 3990 = 25*q. Calculate the remainder when q is divided by 18.
16
Let y(o) = 3*o**3 - 4*o**2 + 3*o. Let m be ((-27)/(-3))/3 - (-22 + -111). Calculate the remainder when (m/(-24) + -3)/((-2)/6) is divided by y(2).
12
Let a = -6 + 11. Suppose -11 = -a*i - 1. Calculate the remainder when 4 is divided by (2 + 0)/(i/4).
0
Suppose -w + 5*p - 2 = 14, 11 = -w + 4*p. Suppose 5 = 3*t - 2*t. Suppose 4*q - 2*o - 51 - 73 = 0, o + 161 = t*q. Calculate the remainder when q is divided by w.
6
Let f = -108 + 152. What is the remainder when f is divided by 9?
8
Let l = -14 + 17. Let u(o) = 40*o**l - 41*o**3 - 6*o**2 - 4*o + 0*o - 4. Calculate the remainder when 37 is divided by u(-6).
17
Let n = -111 + 175. What is the remainder when n is divided by (-22)/(-10)*(0 + 5)?
9
Suppose 4*v - 24 = -0*v. What is the remainder when 59 is divided by (-3)/v + (-93)/(-6)?
14
Suppose -4*a - 10 = -n, 2*n - 4*a + 9 = 25. Let c(j) = 12*j - 81. Let z = -88 + 98. Calculate the remainder when c(z) is divided by n.
3
Suppose 3*x - 39 = 15. Let l(c) = -c + 16. Let u be l(-7). Let r = -16 + u. Calculate the remainder when x is divided by r.
4
Suppose 5*h - 2*w - 14 = 96, 3*w = -5*h + 110. Calculate the remainder when 62 is divided by h.
18
Calculate the remainder when 46 is divided by (-432)/(-33) - 16/176.
7
Let k = -19 - -19. Suppose -4*v = -4*p - 24, k = -5*p + 5*v - 4*v - 38. Let j = 8 - p. What is the remainder when 30 is divided by j?
14
Calculate the remainder when (50/30)/(5/102) is divided by 9.
7
Suppose 3*t + 40 = 7*t. Let i be (4 - t)/((-6)/4). Suppose 0 = 4*x - 4*w + 8, -i*w + 13 = x - 10. What is the remainder when 7 is divided by x?
1
Let l = -649 - -651. What is the remainder when 26 is divided by l?
0
Suppose 0 = r + m - 95, 18*r = 20*r + 5*m - 202. Calculate the remainder when r is divided by 27.
10
Let a(i) = i + 13. Let d be a(-10). Suppose 4*j + 2*n - 12 = d*j, -5*n = j - 21. Calculate the remainder when 21 is divided by j.
3
Suppose -6*a + 5 = -19. What is the remainder when a is divided by 29 + -26 - 1*(2 + -1)?
0
Let r = 92 - 139. Let l = r + 73. Calculate the remainder when l is divided by 14.
12
Let p = 367 + -347. Calculate the remainder when 55 is divided by p.
15
Let n(f) = f - 1. Suppose -2*h = 2*p - 690, 2*p = -5*h - 734 + 2474. What is the remainder when 2/(7/(h/4)) is divided by n(15)?
11
Let i be 2 - ((-4 - -3)*1 + 1). Let u(f) = 4*f**3 + 4*f - 2. Calculate the remainder when u(i) is divided by 6.
2
Let l(b) = 2012*b**2 - 4*b - 2. Calculate the remainder when l(-1) is divided by 84.
82
Let n(b) = -b**3 + 10*b**2 - 8*b - 9. Let o be n(9). Let r be 10 - 5 - (1 - o). Suppose r*m - 19 = 25. Calculate the remainder when 19 is divided by m.
8
Suppose -339 - 813 = -36*f. Calculate the remainder when 410 is divided by f.
26
Suppose -176*m + 462 = -165*m. Let b(h) = -3*h + 3. Calculate the remainder when m is divided by b(-3).
6
Let a = 24 + -12. Suppose -a*q + 50 = -7*q. Let r(d) = d - 8. What is the remainder when 6 is divided by r(q)?
0
Let l = 959 - 532. What is the remainder when l is divided by 86?
83
Let p(f) = f**2 - 444*f - 1782. Suppose -2*u = -3*k - 0 + 12, u + 2*k - 8 = 0. What is the remainder when 15 - (-1 - u - 0) is divided by p(-4)?
6
What is the remainder when 227 is divided by 56/1 + 0/22?
3
Let k(p) = 12*p - 2. Suppose 0 = -3*y + 15 - 6. Let g = 7 - -5. What is the remainder when k(y) is divided by g?
10
Suppose 13*u - 10*u = -3*w + 48, -4 = -w. Suppose 2*h - 74 = 18. Calculate the remainder when h is divided by u.
10
Let l(v) = v - 6. Let k be l(7). Suppose 4*h - 21 = 3*s, -4*h - 6*s = -s + 3. Calculate the remainder when (-2158)/(-234) - (14/(-18) + k) is divided by h.
0
What is the remainder when 1153 is divided by 105 + (4 + 12/(-3))/1?
103
Let d = -1 - -6. Suppose d*z - 50 = -2*y + z, 4*y - 82 = z. Suppose -y + 7 = -2*s. Calculate the remainder when 19 is divided by s.
5
Let n(s) = 9*s**2 + 3*s - 1. Let a be n(1). Let u = a - -21. What is the remainder when u is divided by 7?
4
Let o(q) = -2*q**3 + 7*q**2 - q - 1. Let f(u) = u**2 + u - 1. Let p(r) = 4*f(r) - o(r). Let z(c) = c + 1. What is the remainder when p(3) is divided by z(9)?
9
Let k = 11 + -8. Suppose k*j - 38 = 148. What is the remainder when j is divided by 22?
18
Let o(q) = 22*q**2 - q + 1. Let h(b) = -164*b + 1334. Calculate the remainder when o(2) is divided by h(8).
21
Let n(h) = 15*h - 58. What is the remainder when 78 is divided by n(5)?
10
Let k = 69 - 42. Let u = k + 34. Calculate the remainder when u is divided by 21.
19
Let h(f) = 2*f**2 + 20*f + 12. Let z be h(-13). Suppose -3*d + 72 = -z. Let r = d + -25. Calculate the remainder when r is divided by 8.
5
Calculate the remainder when ((-3806)/55 - -10)*-5 is divided by 79.
59
Suppose -2*c - 520 = -3*r, 3*c = 347*r - 351*r + 682. Calculate the remainder when r is divided by ((-14)/4)/(1/(-10)).
32
Suppose 38*t = -2*t + 560. Calculate the remainder when t is divided by 5.
4
Suppose -4*h + 2*h - 4*x = -64, 0 = -4*h + 3*x + 117. Calculate the remainder when 104 is divided by h.
14
Let t(d) = -d**3 - 2*d**2. Calculate the remainder when (4 + 1)*(-3 + 8) is divided by t(-3).
7
Let f(i) = -i + 7. Let r be f(4). What is the remainder when 23 is divided by 4/2*r*(-15 + 16)?
5
Let i be (-52)/(2 + (-24)/9). Let n(l) = -4*l - 63*l**2 + i*l**2 + 4*l. What is the remainder when 56 is divided by n(1)?
11
Let w(x) = -x + 15. Let m be w(11). Suppose -m*b + 0*b = -76. Let o = -158 - -214. What is the remainder when o is divided by b?
18
Let w(y) = -y**3 - 10*y**2 - 11*y - 12. Let k be w(-9). Let s = 37 - 19. Calculate the remainder when -1*4/(-6) - (-416)/k is divided by s.
16
Let j = 58 - 30. What is the remainder when 132 is divided by j?
20
Let j(y) be the third derivative of -y**6/30 + y**5/60 + y**4/4 + y**3/6 - 49*y**2. What is the remainder when j(-2) is divided by 10?
5
Let d(o) = -o**2 + 30*o - 48. What is the remainder when d(22) is divided by 10?
8
Let g(w) = -w + 13. Let v be g(9). Let i(f) = 2*f. Let r be i(v). Suppose r*t - 100 = 4. What is the remainder when t is divided by 6?
1
Let y = -767 - -865. What is the remainder when y is divided by 55?
43
Let i(t) = 2 + 2*t**2 - t**2 - 4 + 1. Let d be i(1). Suppose d*c + c = 3*a - 44, -5*a - 3*c = -50. What is the remainder when 38 is divided by a?
12
Suppose 178 = -13*q + 15*q. What is the remain