te the remainder when w is divided by 25.
18
Suppose -16*f + 133 = -1451. Calculate the remainder when f is divided by 55.
44
Suppose 194 = 11*z - 10*z - 5*b, -4*z + b + 776 = 0. Calculate the remainder when z is divided by 33.
29
Let f = -126 - -120. Calculate the remainder when (-16)/f*(23 - 5) is divided by 19.
10
Let r(b) = -b - 1. Let c = 17 + -11. Let j(d) = -7*d - 10. Let y(l) = c*r(l) - j(l). Calculate the remainder when 8 is divided by y(-2).
0
Let p(n) = n**3 - 9*n**2 + 5. Let d be p(9). Suppose d = -4*h + 97. What is the remainder when h is divided by 1 + (1 + 1 - -2)?
3
Let d(z) = -2*z - 10. Let m be d(-5). Let s(g) = 3*g + 89. Calculate the remainder when s(m) is divided by 30.
29
Suppose 15*w - 2*w - 884 = 0. Calculate the remainder when w is divided by 14.
12
Let k(o) = 6*o - 8. Suppose 0 = 2*m + 9*m - 99. What is the remainder when k(8) is divided by m?
4
Suppose -5*j = -w - 4*j + 496, 0 = w + j - 488. What is the remainder when w is divided by 38?
36
Let r(a) = a**2 + 3*a - 240. What is the remainder when 83 is divided by r(-18)?
23
Suppose -4*n + 6 = -10. Suppose -n*d + 884 = -3*c + 216, 4*c + 896 = 4*d. Calculate the remainder when 54 is divided by c/(-8) + (-1)/2.
26
Calculate the remainder when 8/52 - (-46062)/234 is divided by 11.
10
Suppose 4*v + 6 - 40 = -3*z, -5*z + 4*v = -78. Let d = -36 + 58. Calculate the remainder when 10/55 + 546/d is divided by z.
11
Suppose 3*f = 4*h - 11 + 126, -3*h + 21 = f. What is the remainder when 195 is divided by f?
30
Suppose 5*t = 4*m + m - 1900, -2*t = 3*m - 1140. Suppose -m = -10*p - 20. Calculate the remainder when 214 is divided by p.
34
Let t = 92 - 36. Suppose -t*m + 57*m - 4 = 0. What is the remainder when 5 is divided by m?
1
Let i(s) = -2*s**2 + 21*s - 4. Let m(l) = -2*l**2 + 11*l + 5. Let w be m(5). Suppose -3*y + 4*y - 20 = 0. What is the remainder when y is divided by i(w)?
2
Suppose -4*o - 35 = -11*o. Suppose 3*f + c - 23 = -c, 5*f + o*c = 40. Calculate the remainder when 10 is divided by f.
3
Suppose 120 - 36 = -4*n. Calculate the remainder when 22 is divided by (0 - -1) + n/(-12)*4.
6
Let u(w) = 2*w**3 - 19*w**2 + 9*w + 18. Let z(d) = 0*d**3 - 4 + d**2 - 5 + 5*d**2 + d**3 - 7*d. Calculate the remainder when z(-6) is divided by u(9).
15
Let n = 62 + -37. Calculate the remainder when 87 is divided by n.
12
Suppose 8*d - 1284 = -4*d. Calculate the remainder when d is divided by 23.
15
Suppose -3*h = -2*q - 920, -164*h + 1575 = -159*h + 5*q. What is the remainder when h is divided by 80?
70
Suppose k - 3 = 36. Suppose 0 = -2*h, -94 = -4*y - h - 2. Calculate the remainder when k is divided by y.
16
What is the remainder when ((-21)/4)/((-5054)/336 - -15) is divided by 13?
9
Let z = 0 - -3. Let i be 3 + 1 + -3 + z. Suppose 3*j - i*j = -22. What is the remainder when j is divided by 12?
10
Suppose -11*a = -47 + 3. Suppose a*i - 55 = -i. What is the remainder when 54 is divided by i?
10
What is the remainder when 33 is divided by 10*(1/(-13) + 1628/715)?
11
Let u(z) = 15*z - 48. What is the remainder when 92 is divided by u(4)?
8
Let l(b) = 22*b**2 - 2*b - 2. Calculate the remainder when 320 is divided by l(2).
74
Suppose 4891 = 81*k - 14*k. What is the remainder when 154 is divided by k?
8
Suppose 7*u = -4*m + 4*u + 124, 5*m + u - 144 = 0. Let a = -22 + m. Suppose 3*l - 2*l = a. Calculate the remainder when 11 is divided by l.
5
Let z = 124 + -25. Let q(i) be the third derivative of i**6/60 - i**5/30 - i**4/12 + 2*i**3/3 + 4*i**2. Calculate the remainder when z is divided by q(3).
31
What is the remainder when (-82)/7*(1575/18)/(-25) is divided by 10?
1
Let k = 1 + 3. Suppose -4*q - 2*b = -16, k*q + 12 = 2*q + 4*b. Calculate the remainder when 57 is divided by (5 - -7) + (q - -1).
12
Let c(p) = 29*p + 27. Calculate the remainder when c(8) is divided by 53.
47
Let r = -593 + 620. Calculate the remainder when 47 is divided by r.
20
Let n(s) = 4*s + 6. Let d be n(-7). Let h = d + 42. Suppose -f + h = -0*f. Calculate the remainder when f is divided by 6.
2
Suppose 69*w + 48 = 73*w. Calculate the remainder when 573 is divided by w.
9
Let q be 16/56*2*14. Suppose -25 = 7*k - q*k. What is the remainder when 73 is divided by k?
23
Suppose -192*c = -202*c + 90. What is the remainder when 34 is divided by c?
7
Let b be 81/(-4) + (-2)/(-8). Suppose 0 = j - 4, 2*f + 3*j + 296 = 5*j. Calculate the remainder when 25 is divided by 8/b + f/(-10).
11
Let r = 2068 + -2049. Suppose 5*z = 3*x + 28, -24 = -4*z - x + 5*x. What is the remainder when r is divided by z?
4
Let l(x) = -x**3 + 13*x**2 - 12*x + 5. Let c be l(12). Suppose c*t - 4*t = 10. Suppose k + t = 32. What is the remainder when k is divided by 8?
6
Let n = -37 + 44. Let l(v) = -v**2 + 9*v. Let i = 12 + -7. Calculate the remainder when l(n) is divided by i.
4
Suppose 43*d = 4*n + 48*d - 338, -6 = 3*d. Calculate the remainder when n is divided by 7.
3
Let q(f) = f**3 - 4*f**2 - 4*f. Let w be q(4). Calculate the remainder when 4 - (-3 - -7 - 17) is divided by -2 + w/(-4) + 3.
2
Let i(k) = 15*k**2 + k + 6. Calculate the remainder when i(-3) is divided by (12 - (-6 + 7)) + (-3)/(-1).
12
Suppose -4*q = q - 55. Suppose t + 2*t = 12. Suppose 5*v - t*i = i + 225, 2*v - 96 = 5*i. Calculate the remainder when v is divided by q.
10
Let q = 25 + 7. Suppose -12*x = -11*x - 32. Suppose 3*d - x + 11 = 0. What is the remainder when q is divided by d?
4
Let y(n) = 3*n**2 - n + 19. What is the remainder when y(-6) is divided by 23?
18
Suppose w + 2*m = 157, 159 = w - m + 4*m. What is the remainder when w is divided by 79?
74
Let j be 7 - 2 - (-8 - -8). Suppose j*z + 32 = 202. Calculate the remainder when z is divided by 19.
15
Suppose -3*o = 0, t - 1 - 6 = o. Calculate the remainder when 50 is divided by t.
1
Suppose 3*s + 5*k - 9 = 0, -s + 0 = 3*k + 1. Calculate the remainder when 24 is divided by s.
0
Suppose 27*b = 31*b - 172. Calculate the remainder when b is divided by 5.
3
Let n = 145 - 142. What is the remainder when 10 is divided by n?
1
Let i = 137 + -69. What is the remainder when 338 is divided by i?
66
Suppose -2*v - v = -573. Suppose 0 = 2*c - t - 63, -4*c - 2*t = -5*t - 125. What is the remainder when v is divided by c?
31
Suppose -4*h - 164 = -2*n, -3*h - 141 + 480 = 4*n. What is the remainder when 252 is divided by n?
0
Suppose 5*b = -190 + 775. What is the remainder when b is divided by 62?
55
Let r be (-5 + -53)/((-2)/3). Suppose 15 = -8*s + r. What is the remainder when 42 is divided by s?
6
Let m = -312 + 394. What is the remainder when m is divided by 7?
5
Suppose 8*b + 5*q = 11*b - 181, -4*b = q - 272. Let k = -6 + 29. What is the remainder when b is divided by k?
21
Suppose 325 = 4*g - m, 10 - 415 = -5*g + m. Let h = -51 + g. What is the remainder when 55 is divided by h?
26
Let s(z) = 7*z**2 + z - 12. Let r be s(4). Suppose -3*o + 70 = -0*p + 2*p, -4*o = 3*p - r. Calculate the remainder when 191 is divided by p.
31
Suppose 6 = 6*g - 4*g. Suppose j = -g*j + 16. Suppose 0 = -j*q + 43 - 7. What is the remainder when q is divided by 6?
3
Suppose -3*c - 162 = -4*p, -p - 1 + 48 = -4*c. Let j = -4730 + 4751. Calculate the remainder when p is divided by j.
18
Let q = 409 + -339. Suppose 68 = 2*n - 5*p, -3*p + 7*p - 56 = -3*n. What is the remainder when q is divided by n?
22
Let p = 24 - 27. Let q be (p*1)/(54/72). What is the remainder when (10 + q)*(-6)/(-4) is divided by 5?
4
Suppose 4*i - 5*f - 106 = 19, i - 32 = 2*f. What is the remainder when 52 is divided by i?
22
Suppose -5*p + 6*p - 3 = 0. Suppose -3 - 6 = -p*f. Suppose 0 = -12*w + 13*w - f. Calculate the remainder when 11 is divided by w.
2
Let t(u) = -7*u - 4. Let c be t(-6). Suppose -3*x + c = 203. Let i = x + 81. What is the remainder when i is divided by 14?
12
Let q be 85/6 + ((-47)/(-6) - 8). Suppose 5*b = -4*r + 120, -6 = -4*r + q. What is the remainder when b is divided by 8?
4
Suppose -469 = -34*y + 925. Calculate the remainder when 211 is divided by y.
6
Let a(s) = s**2 + 58*s + 666. What is the remainder when 922 is divided by a(-15)?
19
Let k = 1 + 8. Suppose -33 = 6*c - k*c. What is the remainder when c is divided by 7?
4
Suppose -2*z - 5*k + 46 = 0, 3*k = 5*z - 42 - 11. Let y = -19 + 17. Let d(w) = -19*w - 1. What is the remainder when d(y) is divided by z?
11