t k = 18 - 11. Suppose 0 = g, -5*c + 169 = -4*g + 54. What is the remainder when c is divided by k?
2
Let l(p) = -p**2 + 11*p + 17. Let t = -20 - -32. Calculate the remainder when l(9) is divided by t.
11
Suppose -2*x - x = -9. Suppose x*q - 72 = 6. Calculate the remainder when q is divided by 14.
12
Suppose w = -3*w + 60. What is the remainder when 46 is divided by (-2)/(-6) - (-175)/w?
10
Suppose d = -0*d + 3. Suppose -d*u + 170 = -a + 50, 3 = a. What is the remainder when u is divided by 11?
8
Let y(w) = 10*w**2 - 1. Calculate the remainder when 24 is divided by y(-1).
6
Let o(u) = -10*u + 18. Calculate the remainder when 541 is divided by o(-5).
65
Let d be (12/(-2))/((-3)/20). Suppose 3*y = -2*z + 34, -2*y - d = -5*y - 5*z. What is the remainder when 27 + (0 - (2 - 4)) is divided by y?
9
Suppose 2*t - 2*l = 12, 3*l = t - 2*l - 18. Let a(c) = 3*c**3 - 3*c**2 - 2. What is the remainder when a(t) is divided by 18?
16
What is the remainder when (3 - 80/24)/((-1)/99) is divided by 12?
9
What is the remainder when 22 is divided by 8/(-24) + (-120)/(-9)?
9
Suppose 2*g + 5*h - 49 = -10, 5*g = 4*h + 15. Let t = -3 + g. Calculate the remainder when 11 is divided by t.
3
Let u = -1 + 1. Let m = u + 3. Suppose o - m*s + 5 = -0, o = s + 1. Calculate the remainder when o is divided by 2.
0
Let k be ((-6)/9)/((-2)/(-3)). Let r = 55 - 39. What is the remainder when r is divided by 1*7 + (1 - k)?
7
Let o(i) = -i**3 - 18*i**2 - 20*i - 10. What is the remainder when o(-17) is divided by 11?
8
Let a = 162 - 92. Let u(v) = 23*v**3 + v**2 - v + 1. Suppose 4*m - 1 = 3. Calculate the remainder when a is divided by u(m).
22
Let a = -12 + -8. Let n = a + 37. Calculate the remainder when 49 is divided by n.
15
Suppose 0 = 2*d + d - 57. Suppose 6 = z - d. Calculate the remainder when z is divided by ((-52)/(-6))/(4/6).
12
Suppose 4*f = -4*k + 68, 4*f - 75 = -2*k - 3. Suppose b = -5*v + 32, -3*b + 1 = -5*b + 3*v. Calculate the remainder when f is divided by b.
5
Calculate the remainder when ((-2)/5)/((-2)/250) is divided by 14.
8
Let i(h) = h - 6. Let t be i(0). Calculate the remainder when 2/t - 85/(-3) is divided by 10.
8
Let u = 4 + 16. What is the remainder when 76 is divided by u?
16
Let f(n) = 2*n - 14. What is the remainder when 49 is divided by f(20)?
23
Suppose -40 = -2*f - f - o, 4*o + 5 = -f. What is the remainder when 44 is divided by f?
14
Calculate the remainder when 39 is divided by (-1)/(-3 + (-46)/(-16)).
7
Suppose 3*h - y - 191 = -57, 0 = -5*h - 3*y + 242. What is the remainder when 88 is divided by h?
42
Let r = -27 + 61. Let j be (-1)/(2 + 18/(-8)). Suppose 0 = -j*q + 9 + 39. What is the remainder when r is divided by q?
10
Let y = 2 - 2. What is the remainder when (-2 + 4 - y) + 11 is divided by 2/5 + 115/25?
3
Let x = -12 - -24. Let v be ((-4)/(-12))/(1/x). Calculate the remainder when 6/((-2)/v*-3) is divided by 3.
1
Suppose 5*x + 85 = 5*g, -g + 2*x + 58 = 3*g. Suppose 2*n - 31 - 197 = -5*o, -5*n + 179 = 4*o. What is the remainder when o is divided by g?
10
Let u(d) = -6*d + 1. Suppose -2*a + 18 = -10. Calculate the remainder when u(-4) is divided by a.
11
Let x = 2 + 3. Suppose -30 = -x*t + 15. Let c = t - 3. Calculate the remainder when 10 is divided by c.
4
Let a = 1026 + -634. Let c = -257 + a. Calculate the remainder when c is divided by 34.
33
Let c(n) = -n**2 - 10*n + 2. What is the remainder when 31 is divided by c(-9)?
9
Suppose 0 = -4*b + 3*b + 31. Let n = -14 + b. What is the remainder when n is divided by 10?
7
Suppose -4*i = -9*i + 25. Let x = i - -3. Let z(l) = 22*l**2 + l. Calculate the remainder when z(1) is divided by x.
7
Suppose -328*y + 331*y - 30 = 0. Let h(j) = 2*j**2 + 7*j + 4. What is the remainder when h(-5) is divided by y?
9
Calculate the remainder when 14 is divided by (10/6)/((-5)/(-15)).
4
Let k(a) = -a**2 + 7*a - 6. Let m be k(6). Suppose 3*f = 5*f - 4*u, m = 3*u - 6. Let g(i) = i**2 + 6. What is the remainder when g(0) is divided by f?
2
Suppose -20*d + 8*d + 48 = 0. Let g = -13 + 23. Calculate the remainder when g is divided by d.
2
Suppose 0 = g - 39 - 105. Calculate the remainder when 1 - 2 - g/(-2) is divided by 24.
23
Let k = 7 + -19. Let u be (-2)/1*k/(-8). Let x = 6 - u. What is the remainder when 26 is divided by x?
8
Suppose -124 = 7*a - 11*a. Calculate the remainder when 119 is divided by a.
26
Calculate the remainder when ((-48)/12)/(((-4)/59)/2) is divided by 20.
18
Suppose o = 2*o + 4*g - 9, -2*o = 5*g - 15. Suppose 12 = -4*m + o*m. What is the remainder when 45 is divided by m?
9
Suppose -29 = 3*s - 77. What is the remainder when 79 is divided by s?
15
Let i(q) = -2 + 2*q + 9 + 6*q. Let a = -141 + 153. Calculate the remainder when i(5) is divided by a.
11
Let a(t) = -t**3 + 6*t**2 - 2*t - 7. Let u(r) = r**2 + 4*r + 1. What is the remainder when u(-7) is divided by a(5)?
6
Suppose 4*z - 21 = 15. Calculate the remainder when 35 is divided by z.
8
Let x(r) = -19*r**3 + r**2 + 2*r + 1. Suppose 9 - 29 = -4*q, 4*v - 119 = 5*q. What is the remainder when v is divided by x(-1)?
17
Let m(k) = k**2 + k + 1. Let f = 2 - 5. Calculate the remainder when 20 is divided by m(f).
6
Suppose 5*j = 6 + 54. Suppose 37 = -3*n + 235. Suppose -4*t + n = -t. What is the remainder when t is divided by j?
10
Suppose 4*h = h + 12, 5*c - 14 = -h. Calculate the remainder when 3 is divided by c.
1
Suppose 17*l - 24 = 13*l. Calculate the remainder when l is divided by 2.
0
Let s = -2 - -5. Suppose -2*b = s*b - 110. Suppose 2*q = b + 4. What is the remainder when 25 is divided by q?
12
Let i = 63 + -35. Let o = i + -19. Calculate the remainder when 35 is divided by o.
8
Suppose 0 = 23*n - 21*n - 174. Calculate the remainder when n is divided by 44.
43
Suppose n + 0*n - 3 = 0. Calculate the remainder when (-5)/(-1) - n/1 is divided by 2.
0
Let d = 4 + -3. Let r(n) = n + d + 6 + 0*n. What is the remainder when 2 is divided by r(-6)?
0
Let d(o) be the second derivative of -3*o**3/2 - 5*o**2/2 + 4*o. What is the remainder when d(-6) is divided by 17?
15
Let w = 0 + 73. Calculate the remainder when w is divided by 15.
13
Let i(y) = y**2 + 5*y - 5. What is the remainder when i(-7) is divided by (-128)/(-22) + (-20)/(-110)?
3
Let s be 0/2 - (-6)/(-3). Let o be (-15)/s + 4/(-8). Let z = o - 4. What is the remainder when z is divided by 2?
1
Let w = -57 + 120. Calculate the remainder when w is divided by 16.
15
Suppose -45*b + 84 = -44*b. What is the remainder when b is divided by 23?
15
Let p(r) = -2*r + 1. Suppose -2*k = 3 - 7, 6 = q + 2*k. Calculate the remainder when p(-1) is divided by q.
1
Calculate the remainder when (-664)/(-10) - 39/(-65) is divided by 17.
16
Let q(k) = -k - 4. Suppose -y = 7*t - 2*t - 65, t - 13 = -y. Calculate the remainder when t is divided by q(-11).
6
Suppose -41 = 2*s - 0*s - 3*o, -3*s - 5*o - 52 = 0. Let w = 27 + s. Suppose 0 = 3*z - 8 - 1. Calculate the remainder when w is divided by z.
2
Let b be 3 - (2 - (-2)/(-2)). Let q be (0 + 24)*1/b. What is the remainder when ((-21)/9)/((-2)/q) is divided by 8?
6
Suppose -3*v = -2*q + 43, 2*v - 89 - 37 = -4*q. What is the remainder when 115 is divided by q?
28
Suppose -1 = 2*u - 5. Let h be 14*(u/(-1) - -3). Suppose -3*v - 38 = -4*b + 28, -b = -2*v - h. Calculate the remainder when 52 is divided by b.
16
Let z(q) = 34*q**2 + 2*q + 2. What is the remainder when z(-1) is divided by 9?
7
Let r be 1/(1/2*-1). Let l be (r/(-6))/((-1)/(-9)). Suppose 3*d - z = -0*d + 17, -l*d - 13 = 5*z. What is the remainder when 15 is divided by d?
3
Suppose 0*q - 43 = -2*y - 3*q, 0 = -4*y + 3*q + 113. Suppose -9*u = -208 - 242. Calculate the remainder when u is divided by y.
24
Let n(i) = 9*i**2 + 6 - 4*i - i**3 - 2 + 0. Calculate the remainder when n(7) is divided by 25.
24
Let z be 10/4*6/5. Suppose 0 = -i + 4*i - 5*v - 9, -1 = 5*i - z*v. Calculate the remainder when 19 is divided by (1 - 18/4)*i.
5
Suppose i - y - 5 = 0, 2*i + 11 = 3*i - 4*y. Let q = i + 2. What is the remainder when 22 is divided by q?
2
Suppose -1 + 5 = -2*v, -2*v = -k + 32. Calculate the remainder when 143/4 - 21/k is divided by 9.
8
Let x(s) = -s**3 + 5*s**2 - 2*s + 6. Let p be x(5). Let y be ((-4)/(-6))/(p/(-30)). What is the remainder when (-27)/y*(-25)/5 is divided by 10?
7
Suppose 20 = -4*o - 4*v, o + 2*