 Let u(q) = q**3 - 4*q**2 + q + 1. Let t be u(4). Calculate the remainder when p(t) is divided by 4.
1
Suppose -p = 2*t - 50, 9*t - 5*t = -p + 42. What is the remainder when p is divided by 23?
12
Let i(p) = p**3 + 5*p**2 + 4*p + 1. Let o(f) = -5*f + 2 + 0 + 2*f. Calculate the remainder when o(-6) is divided by i(-3).
6
What is the remainder when (-6)/24 - (-285)/4 is divided by 24?
23
What is the remainder when (21/(-35))/(3/15) + 970 is divided by 19?
17
Let h(i) = 4*i**2 - 17*i - 52. What is the remainder when 86 is divided by h(-3)?
16
Let m(n) = 5*n + 29. Let q be m(-7). Let r = 20 - q. Calculate the remainder when 63 is divided by r.
11
Suppose 15 = -2*p + 45. Calculate the remainder when (-2)/((-30)/(-95)*(-3)/27) is divided by p.
12
Let z(v) = 372*v + 66. Calculate the remainder when z(1) is divided by 49.
46
Suppose 0 = 5*b + 5, 16*a - b + 131 = 20*a. Calculate the remainder when 394 is divided by a.
31
Let a(h) = -h**3 - 6*h**2 - h + 2. Let r(d) = -17*d**2 + 2*d + 1. Let c be r(-1). What is the remainder when 3 - 7/(7/c) is divided by a(-6)?
5
Suppose 246 = 2*p + 60. Calculate the remainder when p is divided by 28.
9
Let u be 5/3 - 4/6. Let i(q) = q**2 + 3*q - 25. What is the remainder when i(6) is divided by u - (7*-2 + -2)?
12
Suppose 2*s + 5*d = -0 + 5, -5*s = 5*d - 5. Suppose 0 = -3*i - s*i + 24. Suppose 14 + 14 = 2*n. What is the remainder when n is divided by i?
6
Suppose -8*s = -146 - 230. Calculate the remainder when 610 is divided by s.
46
Suppose 18 = 2*t + 4*t. Suppose 0 = t*s + 44 - 119. What is the remainder when s is divided by 14?
11
Let x = -18 + 63. Suppose 3*v + 12 = 0, 0 = -0*y + y - 2*v - 16. What is the remainder when x is divided by y?
5
Suppose 119 = 8*z + 39. Calculate the remainder when 96 is divided by z.
6
Suppose 0 = -3*v - 5*i + 118, 0 = 4*v + v + 5*i - 210. Calculate the remainder when 780 is divided by v.
44
Suppose 14*o = 38 + 858. What is the remainder when o is divided by 13?
12
Suppose s - 4*r + 70 = 3*s, 105 = 3*s + 2*r. Suppose 0 = -o + s + 11. What is the remainder when o is divided by 12?
10
Suppose 2*p + p - 5*h = 164, -2*p = 4*h - 80. Calculate the remainder when 221 is divided by p.
29
Let a(m) = -m - 1. Suppose w = -2*x + 156 - 148, -53 = -5*w + 3*x. What is the remainder when w is divided by a(-6)?
0
Let o = -20 - -35. Suppose 40 = j + o. What is the remainder when j is divided by 14?
11
Suppose 277 = 4*x - 3*q, -9*x + 61 = -8*x + 2*q. What is the remainder when 187 is divided by x?
53
Let j = 36 - -31. Suppose 5*l = -0*y - 4*y + 168, -y + 5*l + j = 0. Calculate the remainder when y is divided by 12.
11
Let t(x) = -x + 1. Let d be t(-4). Suppose 117 - 12 = d*k. Suppose -6*u + u - k = -3*v, -5*v + 35 = -4*u. Calculate the remainder when v is divided by 3.
1
Let x = -77 + 92. Suppose 16*g - x*g = 11. Calculate the remainder when 43 is divided by g.
10
Let v be (-48)/18*(-42)/4. Suppose -w - 51 = -5*r + 89, -r + v = 2*w. What is the remainder when r is divided by (-28)/(-3) + (-4)/(-6)?
8
Suppose -6 = -3*t + 2*t. Suppose -t = 6*f - 0. What is the remainder when 33 is divided by 17 - (f - (0 - 1))?
16
Suppose -3*u - 5*f = 15, -16 = u - 0*u - 2*f. Suppose -3*o = 15, o = -4*m - 2*o + 113. Calculate the remainder when m is divided by (u/(-15))/(4/102).
15
Suppose 20 = 5*c - 0*c. Let a(o) = o**3 + 3*o**2 - 6*o - 2. Calculate the remainder when a(-4) is divided by c.
2
Suppose -5*i + 5*x - 25 = -10*i, 2*i + 3*x - 15 = 0. Let g(c) = c**2 - c - 230. Let k be g(i). Calculate the remainder when k/15*(-3)/2 is divided by 12.
11
Suppose -17*y - 5 + 175 = 0. What is the remainder when 48 is divided by y?
8
Let d be 3/5 - 85/(-25). Suppose 0 = 3*x - d*x + 31. Let h = x - -28. Calculate the remainder when h is divided by 20.
19
Suppose i - 5*i = 3*d - 707, -i + d = -168. Calculate the remainder when i is divided by 35.
33
Suppose 2*r + 2*a = 12, -r + 4*r - 3*a = 48. Calculate the remainder when 173 is divided by r.
8
Let r(t) = 5*t**2 - 28*t + 25. Let j(f) = 6*f**2 - 29*f + 26. Let x(d) = 3*j(d) - 4*r(d). What is the remainder when 19 is divided by x(11)?
8
Suppose 6*h = 8*h, 2*l = -h + 18. Let f(z) = 8*z - 2. What is the remainder when f(3) is divided by l?
4
Suppose -5*a + 17 - 2 = 0. Suppose a*j - 67 = 74. Calculate the remainder when j is divided by 6.
5
Let h(f) = -15*f + 3. Let d be h(2). Let n = -13 - -17. What is the remainder when 1/(-2 + d/(-13)) is divided by n?
1
Let b(r) = 3*r - 8. Let s be b(-15). Let t = -27 - s. Calculate the remainder when 101 is divided by t.
23
Suppose 0 = -5*g - a + 259, -4*g = -3*g + a - 55. What is the remainder when g is divided by 14?
9
What is the remainder when -3 + (-2362)/(-18) - (-8)/(-36) is divided by 58?
12
Let y(l) = -2*l - 14. Let z be y(-8). Suppose 0 = -j - c + z, -2*c + 3 + 7 = 4*j. What is the remainder when 5 is divided by j?
2
Suppose 0 = -12*j + 469 + 515. What is the remainder when j is divided by 60?
22
Suppose 25 = m - y, 0 = -3*m - 7*y + 2*y + 115. Let b = m + -26. Let l = -2 - -9. What is the remainder when l is divided by b?
3
What is the remainder when (-10)/6 - 18441/(-81) is divided by 23?
19
Let k(f) = f + 9*f + 2*f**2 + 8 - 2*f. Let h(d) = 30*d - 185. Calculate the remainder when k(-9) is divided by h(7).
23
Let l(w) = w**3 + 13*w**2 + 14*w - 2. Let b be l(-11). Suppose -5*n + b = -4*n. Calculate the remainder when n is divided by 22.
20
Suppose 5*y = -15, -3*y - 39 = -3*f - 4*y. What is the remainder when 22 is divided by f?
8
Let m(u) = -u**2 + 6*u - 1. Let p = -18 + 10. Calculate the remainder when m(5) is divided by (11/55)/((-4)/5)*p.
0
Let z be (-15)/6 + (-4)/(-8). Calculate the remainder when 476/36 - 4/18 is divided by 225/27 + z/6.
5
Let w(v) = 3*v - 2. Suppose -4*b + 5 = 3*n - 8*b, 3*n + 3*b - 33 = 0. What is the remainder when n is divided by w(2)?
3
Let u(z) = 2*z + 4. Let r be u(0). What is the remainder when 17 is divided by (r/(-1))/(2/(-3 + 1))?
1
Suppose -4764 = -y - 11*y. What is the remainder when y is divided by 31?
25
Suppose 0*c - 59 = 4*c - r, 5 = -5*r. Let j = c + 32. What is the remainder when j is divided by 3?
2
Suppose 0 = -9*k + 16*k. Let v(c) = 6*c + 5. Calculate the remainder when 27 is divided by v(k).
2
Suppose -9 = 5*t - 29. Suppose 2*z - 28 = -t*j, -3*j = 4*z - 22 - 9. Suppose z*m = -0*m + 40. What is the remainder when m is divided by 6?
4
Suppose i - 67 = -2*b, -5*b = 8*i - 6*i - 136. Calculate the remainder when 63 is divided by i.
0
What is the remainder when 39 is divided by (-5)/(-1)*(-7 + -10 + 19)?
9
Suppose 2*k + 5*m = 34 + 36, 2*k + 4*m - 72 = 0. Let l = k + 1. What is the remainder when l is divided by 9?
5
Let n be 2/(-4) - 314/(-4). Suppose 0*o - n = -o. Suppose 0 = -3*d - 303 + 363. What is the remainder when o is divided by d?
18
Let r be 4*1 + (-1 - 1). Suppose -y = 4*y - 3*c - 38, -2 = -y + r*c. Let k(n) = -14*n + 122. Calculate the remainder when k(6) is divided by y.
8
Let c = -1020 + 1043. Calculate the remainder when 85 is divided by c.
16
Suppose -9*x - 41 = -10*x. Let f = 45 - x. Calculate the remainder when f is divided by 2.
0
Let m(h) = 168*h + 1017. Calculate the remainder when 41 is divided by m(-6).
5
Let j be (-2 - (-4 + (-2)/2)) + -24. Let n = -5 - j. What is the remainder when 44 is divided by n?
12
Let s = 21 - 25. Let d = s - 50. Let q = -9 - d. Calculate the remainder when q is divided by 12.
9
Let c(q) = -q**3 + 7*q**2 - 8*q - 3. Let n be c(7). Let o(p) = 85*p**3 + p**2. Let b be o(1). Let d = b + n. Calculate the remainder when d is divided by 14.
13
Let b = 2637 - 2538. Calculate the remainder when 593 is divided by b.
98
Let c(t) = 17*t + 147. Let h(p) = -3*p**3 - 4*p**2 + 3*p - 5. What is the remainder when h(-4) is divided by c(-7)?
27
Suppose -14 = v - y - y, -3*v - 27 = -y. Let w = v - -16. Let k(h) = 3*h - 33. Calculate the remainder when w is divided by k(13).
2
Let u(j) = -2*j**3 - 7*j**2 - 4*j + 7. Let k be u(-4). Let c = k - 27. What is the remainder when c is divided by (1*-6)/(-1) + -2?
0
Let m(z) = -z**3 + 6*z**2 + 11*z - 5. Suppose 0 = -5*g + 2*g + 1368. Suppose 8*b + g = 1168. What is the remainder when b is divided by m(7)?
20
Let s = -20 - -22. Suppose -j + 6 = s*r, -7*r + 3*r - 5*j = -6. Let t(o) = o**2 - 6*o + 2. What is the remainder when r is 