Suppose 0 = 32*z - 28*z - 132. What is the remainder when z is divided by 363/22 + (-2)/(-4)?
16
Suppose 2*o - 6 = 0, 3*u - 4*o - 99 = -8*o. Calculate the remainder when u is divided by 11.
7
Let h(a) = a**3 - 51*a**2 + 4*a - 192. What is the remainder when 429 is divided by h(51)?
9
Let p(j) = 35*j + 88. Calculate the remainder when p(13) is divided by 17.
16
What is the remainder when 9 is divided by (-2*(-4)/(-16))/(5/(-10))?
0
Let f(z) = 5*z**2 + 2*z - 10. What is the remainder when 198 is divided by f(3)?
34
Let x(f) = -2*f - 6. Let m be x(-3). Suppose -c + 5*c - 164 = m. What is the remainder when c is divided by 15?
11
Let g(b) = -11. Let z(r) = -r - 56. Let v(l) = 11*g(l) - 2*z(l). What is the remainder when 69 is divided by v(14)?
12
Let d = -1 + 4. Let h = 556 + -550. What is the remainder when h is divided by d?
0
Suppose -29 = 23*f - 650. What is the remainder when 1429 is divided by f?
25
What is the remainder when (-2)/(-7) - 702/(-42) is divided by 16?
1
Let k(j) = j**3 - 2*j**2 + 169. Let n be k(0). Let a = n + -107. What is the remainder when a is divided by 16?
14
Let s = 6 - -5. Let g(l) = -l**2 + 13*l - 7. Calculate the remainder when 0/(-1) + (-84)/(-2) is divided by g(s).
12
Suppose -2*w + 3*w - 5*u = 2, 0 = -4*u. Suppose w*n - 40 = 14. What is the remainder when n is divided by 10?
7
What is the remainder when -1 + (-427)/(-28)*20 is divided by 24?
16
Suppose -x + 1543 = -4*d - 386, -25 = -5*d. Calculate the remainder when x is divided by 50.
49
Let x = -20 + 8. Let j(w) = w + 33. Let n be j(-15). Let q = n + x. Calculate the remainder when 15 is divided by q.
3
Let w = -3 - -26. What is the remainder when (-1015)/(-15) + (-5)/3 is divided by w?
20
Let b(a) = a**2 - 2*a - 1. Let v be b(5). Suppose -5*y - 20 = 0, 3*o - 134 - v = y. What is the remainder when o is divided by 13?
9
Suppose 180 = -349*v + 367*v. Calculate the remainder when 149 is divided by v.
9
Let o be (5 - 1) + 46 + 2/2. Let x = 68 - o. What is the remainder when 38 is divided by x?
4
Let a be (2/4 + -2)*8/(-6). What is the remainder when 9 is divided by (-1)/2*(-12 - a/1)?
2
Suppose 4*p - 480 = 20. Let x(u) = -6*u**2 + 82*u - 34. What is the remainder when p is divided by x(13)?
17
Let v = -125 - -235. Suppose 0 = 160*i - 161*i + v. Calculate the remainder when i is divided by 14.
12
Let c(a) = a**3 - a**2 - a + 4. Let m = 25 + -22. Suppose x - m*y = 4*x - 15, -2*y = -4. Calculate the remainder when c(x) is divided by 10.
9
Calculate the remainder when 7 + (120 - -30 - (0 - -7)) is divided by 76.
74
Let s(r) be the third derivative of -r**4/12 + r**3/3 - 3*r**2. Let a = 6 + 4. Calculate the remainder when s(-8) is divided by a.
8
Let t = -4 - -4. Suppose t = -2*a - i + 20, -i + 40 = 2*a + 2*a. Calculate the remainder when a is divided by 4.
2
Suppose 2*h - 113 = 257. What is the remainder when h is divided by 63?
59
Suppose 46 = 3*r - 119. Let h = 7 - -7. Calculate the remainder when r is divided by h.
13
Let w(k) = -11*k - 12. Suppose 3*q - 271 = -3*p + 29, -q + 100 = 3*p. What is the remainder when q is divided by w(-3)?
16
Let j(m) be the first derivative of m**3 - m**2 - m - 2. Suppose 5*r = 8*r - 57. What is the remainder when r is divided by j(2)?
5
Calculate the remainder when 12/14*(223 + -34) is divided by 43.
33
Let x be -3 - -1*6 - -1. Suppose -x*r + 9*r = 0. Suppose r = -3*l + 8*l - 315. Calculate the remainder when l is divided by 22.
19
Let t(q) = -q**3 - 16*q**2 - 16*q - 4. What is the remainder when 54 is divided by t(-15)?
10
Suppose 5*d + 17 = 7. Let l be (-12)/(-7) - d/7. Suppose 15 = l*w - w. What is the remainder when 28 is divided by w?
13
Suppose 13 = -2*k + 91. Calculate the remainder when 73 is divided by k.
34
Let j be 1/(-2)*156/(-6). Suppose -j = -7*l + 1. What is the remainder when 7 is divided by l?
1
Suppose 5*y - 15 = -5*d, -5*d - 11*y = -13*y - 43. What is the remainder when 69 is divided by d?
6
What is the remainder when 5/45 - 934/(-18) is divided by 27?
25
Suppose 59 = 2*f - 1. Let a = -4 - 14. Let q = a - -26. What is the remainder when f is divided by q?
6
Suppose 0 = 4*l - 5*o + 32 - 1, 0 = -l + 3*o + 1. Let f = 2 - l. Calculate the remainder when 142 is divided by f.
14
Let j(u) = u**2 - 1. Let z = -17 - -15. Let t be j(z). What is the remainder when 79 is divided by 10/(0 - t/(-6))?
19
Let j be 1*3 - (23 + 7). Let y be (-6)/j - 136/(-36). Suppose -y*r - 3*v + 55 - 21 = 0, 5*r - 2*v = 54. What is the remainder when 28 is divided by r?
8
Let o(y) = 85*y**3 + 5*y - 5. Let d be o(1). Let h = -4 + 9. Suppose -5*n + 4*b = -90 - d, 0 = h*n + 5*b - 130. What is the remainder when n is divided by 7?
3
Suppose h - 100 = -3*h. Suppose 2*v + 10*v = 228. Suppose -3*s + v = -2. Calculate the remainder when h is divided by s.
4
Let d(x) = 3*x - 7. Let a be d(4). Calculate the remainder when (16/a)/((-4)/(-110)) is divided by 13.
10
Let l = 3 + 4. Suppose -l*v + 4*v + 9 = 0. Suppose v*t - 21 + 0 = 0. Calculate the remainder when t is divided by 4.
3
Suppose 0 = 36*m - 695 - 277. Calculate the remainder when 129 is divided by m.
21
Let x(y) = -8 - 4*y**2 + 0 - 8 + 18 + 1 + 2*y**3. Let p be 2/(-10) - (-48)/15. What is the remainder when 82 is divided by x(p)?
19
Suppose -5*x = -8 - 7. Let y(w) = w**3 + 5*w**2 + 7. Let s be y(-5). Suppose s + 1 = r. Calculate the remainder when r is divided by x.
2
Let r(v) = v**3 - 25*v**2 + 26*v - 43. Let n = 27 - 10. What is the remainder when n is divided by r(24)?
2
Let o = -548 + 560. What is the remainder when 130 is divided by o?
10
Let h(l) = 2*l**3 - 3*l**2 + 2*l - 3. Let f be h(3). Suppose -3*o = -0*n + 3*n - 60, 2*o = -6. Suppose m = f + n. What is the remainder when m is divided by 14?
11
Let x be 2*2/(-4)*22. Let p = -13 - x. Suppose -4*b + 134 = c, -4*c + 7 = -b + 32. What is the remainder when b is divided by p?
6
Let f be -3 + 2 + 0 + 5. Suppose f*o + 80 = 8*o. Calculate the remainder when 118 is divided by o.
18
What is the remainder when 96 is divided by ((-25)/(-3))/((-25)/(-30))?
6
Suppose -4*y = 4, u - 2 - 27 = -5*y. Suppose 10 = 5*x, -2*r - 4*x = r - 35. Calculate the remainder when u is divided by r.
7
Let g = 19 + -17. Calculate the remainder when (-18)/(-16)*4/(-3)*-2 is divided by g.
1
Let r(z) = z + 134. What is the remainder when 94 is divided by r(-73)?
33
Let p = -68 - -114. Suppose 0 = 2*t - 128 - p. Calculate the remainder when t is divided by 22.
21
Let r = 0 - 0. Suppose 2*f - f - 19 = -3*o, r = -3*f + 12. Calculate the remainder when 12 is divided by o.
2
Suppose -4*z + 1 = 5. Let n = 16 - z. Let x = 39 - n. What is the remainder when 41 is divided by x?
19
Let o = 139 - 88. Suppose 6 - o = -5*k. Calculate the remainder when k is divided by 4.
1
Suppose 272*v = 266*v + 612. What is the remainder when v is divided by 15?
12
Let q = 31 + 2. Suppose 3*x - q = 9. What is the remainder when 52 is divided by x?
10
Let c = -74 - -191. Let n = c + 14. What is the remainder when n is divided by 33?
32
Let a(c) = -c**2 - 9*c + 3. Let q be a(-8). Let v = -10 + q. Let s = 5 - v. What is the remainder when 6 is divided by s?
2
Let j(a) = 2*a**3 - 98*a**2 + 98*a - 66. What is the remainder when 238 is divided by j(48)?
28
Suppose -1583 = -9*s - 107. What is the remainder when s is divided by 14?
10
Let y = 213 - 187. What is the remainder when 41 is divided by y?
15
Let g = -5 + 104. Calculate the remainder when g is divided by 10.
9
Let j be 4/3*3/2. Let a(i) be the second derivative of i**5/20 + i**4/4 - i**3/2 + i**2/2 + 44*i. Calculate the remainder when 27 is divided by a(j).
12
Suppose 9*w - 4*w = 200. Let s = 59 - w. Calculate the remainder when 71 is divided by s.
14
Let n = 238 + -234. What is the remainder when 17 is divided by n?
1
Suppose 4*y = 9*y + 5. Let o = y + 2. Calculate the remainder when o is divided by 1.
0
Let m be -24*(-1 - 6/(-4)). Let a be 0*(2/4 + -1). What is the remainder when -124*(3/m + a) is divided by 16?
15
Calculate the remainder when 2/(-4)*-1*34 is divided by (-8)/(-28) + 204/21.
7
Let y = -125 - -187. Let d(m) be the third derivative of m**4/24 + m**3/2 + 8*m**2. Calculate the remainder when y is divided by d(13).
14
Let f(r) = 5*r - 1. Let l(w) = 14*w - 3. Let k(t) = 17*f(t) - 6*l(t). Calculate the remainder when 24 is divided by k(