 4*g - 33 = -3*y + 75, -5*y = -2*g - 206. Suppose -y = -q - 3*q. What is the remainder when k is divided by q?
8
Let i = -10 + 16. Let a be (-16)/(1 + i/(-4)). Suppose -5*z - a + 97 = 0. Calculate the remainder when z is divided by 7.
6
Let n(r) = -7*r - 50 + 11*r**2 - r**3 + 24 + 11*r + 14*r. What is the remainder when 88 is divided by n(12)?
42
Let h = -32 + 37. Suppose -3*c + 3*a = c - 38, 0 = -c + h*a + 18. What is the remainder when 17 is divided by c?
1
Calculate the remainder when 122 is divided by (-22)/(10/55 + 90/(-132)).
34
Let t(a) = -19*a + 1. Let h(m) = -m**3 + 16*m**2 - 15*m - 1. Let b be h(15). Let d be t(b). Suppose n = -2 + d. Calculate the remainder when 35 is divided by n.
17
Calculate the remainder when (1 + 22/(-6))*-48 is divided by (-1862)/(-42) + 2/(-6).
40
Let y(v) = 9*v - 21. Let u be -5 - -2 - (-48)/6. Let m be y(u). Suppose 0*o - 6*o + m = 0. What is the remainder when 12 is divided by o?
0
Suppose -4*m + 316 = 4*q, -4*m + 2*m - q = -161. What is the remainder when m is divided by (-1)/(2 + 70/(-34))?
14
Let k(g) = 2*g**3 + 16*g**2 - 5*g + 24. Let b(r) = r + 35. Calculate the remainder when k(-8) is divided by b(0).
29
Let t = 19 + -4. Let k = 182 - 94. Calculate the remainder when k is divided by t.
13
Let w = -21 - -55. Suppose v = -2*s + 48, -v - 3*s + w = -19. What is the remainder when v is divided by 21?
17
Let f(v) = 2*v**2 - 16*v + 15. Let t be f(10). Suppose u + 5 - 12 = 0. What is the remainder when u is divided by (88/t)/((-4)/(-10))?
3
Calculate the remainder when 94 is divided by 3 - (41/(-5) - (-1)/5).
6
Let x be (-2)/(-7)*(-35)/(-1). Suppose x*t + 12 = 12*t. Calculate the remainder when t - (-3)/(-6)*-4 is divided by 3.
2
Let g(y) = -2*y + 73. What is the remainder when g(-9) is divided by 25?
16
Suppose 6*g - 370 = 332. What is the remainder when g is divided by (2/2*8 - 5) + 28?
24
Let w(n) = -5*n. Let x(h) = -3*h**2 + 1. Let j = -8 - -9. Let f be x(j). What is the remainder when 26 is divided by w(f)?
6
Let m(k) = -2*k**2 + 58*k - 14. What is the remainder when m(28) is divided by 11?
9
Let t(a) = 2*a**2 - 3*a - 2. Let f be t(-1). Suppose -165 = -5*g - 6*i + i, -5*g + f*i + 165 = 0. Calculate the remainder when g is divided by 18.
15
Suppose 0 = 4*n - 5*r - 66, -n + 2*n - 2*r = 18. Calculate the remainder when 14 is divided by n.
0
Let n(i) be the second derivative of 0 - 5/2*i**2 - 3*i + 1/3*i**3 + 1/12*i**4. Calculate the remainder when 37 is divided by n(-5).
7
Let l(h) = -h**2 - 3*h + 2. Suppose 27 + 8 = 2*n + 3*g, 0 = -3*n + 5*g + 24. Suppose -n*f + 45 = -8*f. What is the remainder when f is divided by l(-2)?
1
Suppose -76 = -2*b + 204. What is the remainder when b is divided by 11?
8
Suppose 2*p + 1077 = i, -p - 5390 = -5*i + 4*p. Calculate the remainder when i is divided by 24.
23
Suppose -b + 1 = -8. Let w = 126 + -111. Calculate the remainder when w is divided by b.
6
Let f(h) = h - 20. Let p be f(23). Suppose 5*x - 2*l - 385 = 0, -p*l = 2*l. What is the remainder when x is divided by 20?
17
Let c = -74 + 90. What is the remainder when c is divided by 10?
6
Let p(j) = 2*j + 4. Let b(h) = h + 4. Let k(r) = -7*b(r) + 6*p(r). What is the remainder when k(5) is divided by (7 - -2) + (2 - 0)?
10
Suppose 8*h = 13*h - 220. Suppose -7*q + h + 61 = 0. What is the remainder when q is divided by 8?
7
Calculate the remainder when (-14)/(-4)*(-23028)/(-798) is divided by 2/7 - (-180)/7.
23
Let i(c) = -c - 1. Suppose 0 = -6*h - 24 - 12. Suppose -4*n + 23 = -49. Calculate the remainder when n is divided by i(h).
3
What is the remainder when -340*1/(-4)*2 is divided by 29?
25
Suppose -5*b + 2*r + 23 = -276, 57 = b + r. What is the remainder when b is divided by 9?
5
Suppose 8*a = 12*a - 572. Suppose 0 = -2*g + a + 29. What is the remainder when g is divided by 22?
20
Let l = -650 - -659. What is the remainder when 47 is divided by l?
2
Let p = 33 + -68. Let m = p + 59. What is the remainder when 67 is divided by m?
19
Suppose 3*c = 3*k - 450, -k - c = -4*c - 140. What is the remainder when k is divided by 41?
32
Suppose -14*s + 46 = -12*s. What is the remainder when 91 is divided by s?
22
Suppose 38*f - 3*i - 85 = 36*f, 5*f - 3*i = 190. Calculate the remainder when 100 is divided by f.
30
Let z(v) = 3*v**3 - 2*v**2 - v. Let q be z(-1). Let a be 110/q + 1/(-2). Let t = a + 58. Calculate the remainder when t is divided by 8.
6
Suppose -2*s - 4*n = 86, -169 = s + 2*s - 4*n. Let j be (6/9)/(2/s). Let b = -4 - j. Calculate the remainder when b is divided by 4.
1
Suppose -2*j - 30 = -t - 8, 2*t - 5*j = 43. Calculate the remainder when 188 is divided by t.
20
Let r be -3 + 15 + -8 + 3 + 1. Suppose w + u = 3 + r, 0 = 2*w + 4*u - 16. Calculate the remainder when 21 is divided by w.
7
Suppose 3*z - m = 3*m + 291, -2*m - 95 = -z. What is the remainder when 302 is divided by z?
100
Let n(u) = 2*u**2 - 6*u + 12. Let l be n(6). Suppose 0 = -4*g + 4*x - l, -4*g + 0*g - 48 = 4*x. What is the remainder when (6/2)/(g/(-536)) is divided by 34?
32
Let u = 23 + -23. Suppose -23 = -u*r - 2*r - w, -2*r - 5*w = -19. Suppose o - 3 = 4. Calculate the remainder when r is divided by o.
5
Suppose 2257 = 2*u - w, -2*w + 1865 + 1538 = 3*u. What is the remainder when u is divided by 103?
101
Suppose 2*w = -5*h + 144, 3*h = w - 5*w + 302. What is the remainder when w is divided by 35?
7
Let a(d) be the first derivative of 3*d**2 - 25*d + 75. Suppose -5*c = -2*c - 18. Calculate the remainder when 19 is divided by a(c).
8
Suppose 0 = -q + n + 42, -20 = -40*n + 45*n. Calculate the remainder when 87 is divided by q.
11
Let w be 328/(-18) + 2/9. Let n = -13 - w. What is the remainder when (68/3*6/4)/2 is divided by n?
2
Suppose 6*m - 2464 = 2*m - 4*g, -3*m + 1840 = g. What is the remainder when m is divided by 28?
24
Let y = -760 + 764. Let a(x) = -2*x + 5. Calculate the remainder when a(-5) is divided by y.
3
Calculate the remainder when (-16)/152 - 2856/(-57) is divided by 12.
2
Suppose -4*w - 464 = -2*n - 148, -6*n = -2*w - 948. What is the remainder when n is divided by 34?
22
Let p = -1203 - -1247. What is the remainder when p is divided by 12?
8
Suppose -4*a + 10 = a, -5*a + 30 = 5*b. Let s be (b/(-5))/(40/(-300)). Suppose -s*f = 281 - 695. Calculate the remainder when f is divided by 24.
21
Let h be (-9)/(-2)*20/6. Suppose -h = -u + 9. Let y(o) = o**3 - 11*o**2 + 30*o - 1. What is the remainder when u is divided by y(7)?
11
Let d = 46 + -40. Suppose d*m + 4*m - 50 = 0. What is the remainder when 13 is divided by m?
3
Let x(j) = -11*j + 17. Let s(m) = 5*m - 9. Let c(k) = -7*s(k) - 3*x(k). Let n be c(9). Let w(p) = -5*p + 1. Calculate the remainder when w(n) is divided by 8.
7
Suppose -n - 3*n = -5*w - 41, 5*n - 45 = 5*w. Calculate the remainder when 4 - 2 - -43 - -1 is divided by n.
2
Let o(j) = j**2 + 3*j + 3. Suppose 0 = -3*s - 3, v + 2*s = s + 4. Suppose 0 = -y - v*q + 2 - 17, -q = 5. Calculate the remainder when y is divided by o(-3).
1
Suppose h - 9*j - 17 = -14*j, 2*h = -4*j + 28. Let x = 14 + 42. What is the remainder when x is divided by h?
8
Suppose 0 = 3*t - 2*t - 241. What is the remainder when t is divided by 27?
25
Let x(k) = -k**3 - 28*k**2 - 56*k - 3. Calculate the remainder when x(-26) is divided by 6.
5
Calculate the remainder when ((-459)/(-102))/(6/212) is divided by 28.
19
Suppose 0*p = -4*p - 4*c + 2444, -4*p + 2442 = 5*c. Calculate the remainder when p is divided by 77.
74
Let h = -36 - -113. Let j(x) = x**3 - 19*x**2 - 15*x - 80. What is the remainder when h is divided by j(20)?
17
Calculate the remainder when ((-1024)/(-14))/4 + (-2)/7 is divided by 16.
2
Let o(h) = -4*h**2 - 27*h + 8. Let k = -93 + 87. What is the remainder when 102 is divided by o(k)?
24
Let f(s) be the second derivative of s**3/6 + s. Let j(u) = -4*u**2 - 20*u + 2. Let i be j(-5). Calculate the remainder when 6 is divided by f(i).
0
Let n(s) = -s**2 + 38*s - 206. Calculate the remainder when 53 is divided by n(31).
9
Suppose 2*k - 3 = k. Let o(q) = q + 3. Let y(x) = -x**3 + 3*x**2 - 3*x + 13. Calculate the remainder when o(k) is divided by y(3).
2
Let d(b) = 10*b**3 - 3*b**2 + 31*b + 13. What is the remainder when d(4) is divided by 105?
99
Suppose -4 = -3*t + 2*t. Suppose t*y = -x + 128, -4*y + 3*x = -2*x - 128. Calculate the remainder 