53. Let l = -93 - -53. Let c = l - -46. What is the remainder when w is divided by c?
5
Let s = -10 - -13. Suppose -s*z = -483 + 69. What is the remainder when z is divided by 47?
44
Let f(c) = -c**2 + 11*c + 10. Let b be f(6). Let s = 7 - 27. Let o = b + s. What is the remainder when 79 is divided by o?
19
Let o(z) = -2*z**2 - 16*z + 2. Let x be o(-8). Suppose -c = w, x*w + 1 = w. Let s = 22 - c. What is the remainder when s is divided by 12?
9
Suppose 0 = -53*o + 19551 - 3969. What is the remainder when 885 is divided by o?
3
Let w = 149 - 123. Suppose 62 = -4*r + 6. What is the remainder when w is divided by 4/r + 102/14?
5
Suppose 196 = 9*h - 101. Suppose 9*g - 4*g - 60 = 0. What is the remainder when h is divided by g?
9
Suppose -5*x + 49 = -t + 3*t, -5*x + 83 = 4*t. Calculate the remainder when 32 is divided by t.
15
Let x = 250 - 111. Suppose 2*q - 410 = 7*q. Let b = q + x. Calculate the remainder when b is divided by 15.
12
Suppose -540 = -5*c + p + 4*p, 0 = c + 3*p - 108. What is the remainder when c is divided by 10?
8
Let d be (4/8)/(2/12). Suppose 4*x - 3*x + 79 = g, 355 = 5*g + 3*x. Suppose -3*h + h + 47 = i, 5*i - g = -d*h. What is the remainder when h is divided by 9?
5
Let c(t) = t**3 - 15*t**2 + 15*t - 6. Let d = 30 + -16. Calculate the remainder when (20/(-6))/((-4)/18) is divided by c(d).
7
Let b be 3 - (0/(-4) + 0). Suppose -b*p = 15 - 279. Suppose 0 = -0*o + 3*o - 12, 5*o = -5*a + 170. Calculate the remainder when p is divided by a.
28
Let z = 13 - 13. Suppose z = 8*g - 9*g + 14. Calculate the remainder when g is divided by 5.
4
Let l = 187 + -136. Calculate the remainder when 202 is divided by l.
49
Let a = -49 - -98. Calculate the remainder when a is divided by 10.
9
Let z = -64 + 716. What is the remainder when z is divided by 32?
12
What is the remainder when 23 is divided by (-9)/15 + 192/20?
5
Suppose -2*t + 10 = 5*h - 4*h, -3*h + 4*t = 10. Let k be 0 + -1 + 97 + -1. Suppose -h*j + 7*j = k. Calculate the remainder when j is divided by 11.
8
Suppose 5*z + 1 = 26. Let s be 22 + -2 + -2 - (3 + 0). Suppose -4*g + 3*i = -56 - 37, 0 = -z*i - s. What is the remainder when g is divided by 4?
1
Let i(l) = 55*l - 6. What is the remainder when 341 is divided by i(1)?
47
Let k(o) = -3*o - 8. Let j(a) = 10*a + 24. Let h(q) = -5*j(q) - 16*k(q). Let t(s) = s**2 - s - 1. What is the remainder when t(-5) is divided by h(0)?
5
Suppose 2*g = 3*x - 55, 5*x - 2*g = 5 + 80. Suppose x*q = 10*q + 100. What is the remainder when 59 is divided by q?
19
Let t = -3 + 6. Let x = 8 - t. Suppose 2*i - x*i + 129 = 0. Calculate the remainder when i is divided by 11.
10
Let t = -592 - -728. Calculate the remainder when t is divided by 14.
10
Suppose 4*v - 139 = -4*l + 309, -5*l + 540 = -5*v. What is the remainder when l is divided by 28?
26
Let k(p) = -p**3 + 11*p**2 + 9*p + 7. What is the remainder when k(11) is divided by 36?
34
Suppose 0 = -40*f - 7577 + 40577. Calculate the remainder when f is divided by 46.
43
Suppose -j + 3*c + 43 = 0, -4*j + 44*c + 157 = 47*c. Calculate the remainder when j is divided by 3.
1
Let i = -34 - -39. Suppose -23 = -i*g + 17. Calculate the remainder when 22 is divided by g.
6
Suppose w + 22 = 5*w - 2*g, -5*w - 4*g - 5 = 0. Calculate the remainder when w is divided by 348/108 + (-2)/9.
0
Suppose d = -4*u + 19, -2*d + 2*u = 3*u - 45. Let o = -5 + 5. Suppose o = -3*z + 2*s + 22, -s - 18 = -2*z + 2*s. What is the remainder when d is divided by z?
5
Suppose -115 = -2*b + f + 2*f, -5*b + f + 255 = 0. Let w = 62 + -51. Calculate the remainder when b is divided by 185/w - 22/(-121).
16
Let j = -134 - -204. Calculate the remainder when j is divided by 8.
6
Let y(k) = 3*k**2 + 3*k - 76. What is the remainder when 22 + 1 - (2 + -1) is divided by y(-6)?
8
Let p be (2/8 + 0)*12. Let n(v) = -2*v**2 - 3*v - 4. Let u be n(p). Let k = 80 + u. Calculate the remainder when k is divided by 17.
15
Let b = 112 - 84. Suppose 29*v - b = 27*v. What is the remainder when 54 is divided by v?
12
Suppose 2*a - 42 = 2*m, 2*m - 2 = -6. Let o = -33 + 40. Calculate the remainder when a is divided by 456/42 + 1/o.
8
Suppose -2*w + 4 = -4. What is the remainder when (2 - -10)*(40/16 - 2) is divided by w?
2
Let q be ((-3)/3)/(0 - -1 - 0). What is the remainder when 58 is divided by (q - 1) + (3 - 25)/(-1)?
18
Suppose -35 = -2*u + 3*n, -2*n + 2 = -8. Let v = -8 + 14. Suppose 5*a = -20, -a + v*a + 308 = 4*l. Calculate the remainder when l is divided by u.
22
Let d = -8 - -55. Calculate the remainder when 174 is divided by d.
33
Let b be 6/15 - (-294)/15. Suppose -b + 2 = -o. Suppose a - 4*a + o = 0. What is the remainder when a is divided by 3?
0
What is the remainder when 31 is divided by ((-2)/9)/((-10)/(-165))*-3?
9
Suppose -y = 2*g - 3*y, -5*g - 5*y + 10 = 0. Let h = g - -4. Suppose -5*l + 38 = m + m, -m + 2*l + 1 = 0. What is the remainder when m is divided by h?
4
Suppose 523*l = 528*l - 1195. What is the remainder when l is divided by 35?
29
Suppose -2*k = -5*k + 636. What is the remainder when k is divided by 31?
26
Let l be (0 + -6)*(-6)/18. What is the remainder when 1 is divided by (-2)/(-4) + 1/l?
0
Suppose -665 + 2022 = 23*l. Calculate the remainder when 229 is divided by l.
52
Let l(j) = j**2 - 19*j + 95. What is the remainder when 60 is divided by l(12)?
5
Let n = -4131 - -842. What is the remainder when n/(-26) + (-2)/(-4) is divided by 26?
23
Suppose -40*h - 70 = -41*h. Calculate the remainder when h is divided by 25.
20
Suppose 0 = -f + 5*z, 0 = -f - 6*z + 2*z. Suppose f = -5*k + 7 + 53. Calculate the remainder when k is divided by 7.
5
Let c(d) be the first derivative of d**3 - d**2 - 4*d + 4. Suppose -2 + 4 = 2*f, -5*n - 8 = 2*f. Calculate the remainder when 23 is divided by c(n).
11
Let d(x) = x**3 - 10*x**2 - 22*x - 4. What is the remainder when 36 is divided by d(12)?
16
Let h = -1181 + 1193. Calculate the remainder when 550 is divided by h.
10
Let w be (2/5)/((-3)/(-30)). Suppose -v = 4*v + 5, w*j + 2*v = 222. What is the remainder when j is divided by 19?
18
Suppose 2*a = -6, g - 2*a = -3*g + 114. What is the remainder when g is divided by (5 + 15)/(-2)*1*-1?
7
Suppose 12*f = 45 + 147. Calculate the remainder when 45 is divided by f.
13
Suppose -237 + 669 = 12*x. Calculate the remainder when 283 is divided by x.
31
Let q = -15 + 13. Let o(g) = 19*g**2 + 2*g + 1. Calculate the remainder when o(q) is divided by 20.
13
Calculate the remainder when 17 is divided by 10 - -1 - (-252)/(-63).
3
Suppose -2*i = -3*i + 21. Suppose 0 = 4*h - 5*o - 60, 2*h - o - 12 = -3*o. What is the remainder when (-6)/i + (-396)/(-14) is divided by h?
8
Suppose -10*x + 14*x = 12. Suppose -5*k = -x*k - p - 29, -5*k + 80 = -5*p. Let d = 47 + -22. What is the remainder when d is divided by k?
12
What is the remainder when 245 is divided by ((-170)/4)/(4/(-8))?
75
Suppose -11*d - 176 = -16*d + 3*c, 0 = -3*d - 2*c + 98. Calculate the remainder when d is divided by 26.
8
Let z(y) = 70*y + 9. Let i(h) = 23*h + 3. Let k(a) = -8*i(a) + 3*z(a). Suppose 0 = -9*n + 4*n + 10. What is the remainder when k(n) is divided by 14?
13
Let s = 101 + -95. Suppose -s*u + 360 = -0*u. Calculate the remainder when u is divided by 21.
18
Let q = -809 - -853. Let s = 154 - 25. Calculate the remainder when s is divided by q.
41
Suppose -2*d + 16 = -22. Suppose -5*m = 2*c - 87, c + c = -m + d. Calculate the remainder when m is divided by 5.
2
Let g(v) = -v**3 + v**2 + 14*v + 10. Let b be ((-36)/(-27))/((-2)/12). Calculate the remainder when ((-202)/8)/(2/b) is divided by g(-4).
33
Suppose -4*f - 6 = -5*f. Let a(r) = 2 - 3*r - f - 3. What is the remainder when 20 is divided by a(-6)?
9
Let m = 5 + 23. Let z = 65 + -26. Let j = z + -24. Calculate the remainder when m is divided by j.
13
Suppose 63 = -c + 4*c. What is the remainder when (6 + 16 + 4)*(-3)/(-2) is divided by c?
18
Suppose -7139 = -76*b - 1667. What is the remainder when 225 is divided by b?
9
Let i be 2 + -2 + 1 + 34. Let l = -19 + i. Suppose -l - 14 = -2*o. Calculate the remainder when o is divided by 9.
6
Let x(v) = -13*v + 192. What is the remainder when (0 - 2/(-6))*87 is divided by x(14)?
9
Suppose -965 = -11*d - 239. Calculate the remainder when d is divided by 7.
3
Let t(m) = -m**2 - 18*m + 398. Calculate the re