12 = 3. Let l(o) = 6*o - 31. Calculate the remainder when 9 is divided by l(y).
4
Let m = -197 - -243. Suppose 2*n + 2 = 2*w - 2, -8 = -5*n - 4*w. Suppose n*z = 2*z - m. Calculate the remainder when z is divided by 8.
7
Let j be -15 - -11 - (-60 - 0). Suppose -3*n - 83 = 2*i, -2*n - j = 4*i + 90. Let v = 82 + i. What is the remainder when v is divided by 17?
14
Let x(h) = -7*h - 4. Suppose -123 = -3*k - 4*u, 2*u + 96 = 2*k - 0*k. Calculate the remainder when k is divided by x(-4).
21
Let m = 1175 - 765. Calculate the remainder when m is divided by 105.
95
Suppose -55*d = -49*d - 372. Suppose -3*x + 4*i + 30 - 1 = 0, x - 5*i - 17 = 0. Calculate the remainder when d is divided by x.
6
Suppose -71*v = -63*v - 288. Calculate the remainder when 202 is divided by v.
22
Let t(f) = -f**3 + 5*f**2 - 4*f + 7. Calculate the remainder when 245 is divided by t(3).
11
Suppose v + 59 = 2*y, -4*y = 5*v - 78 + 303. Let o = -28 - v. Calculate the remainder when 61 is divided by o.
19
Suppose 4*o - l = 213, 4*o - 114 = 2*o + 2*l. Suppose 3*k - o - 8 = 0. Calculate the remainder when 37 is divided by k.
17
Let y = 16 - 5. Suppose -11*v - 52 = -151. What is the remainder when y is divided by v?
2
Let m = -27 + 25. Let v be (-2 - -2)/(m/(-2)). Suppose v*i = -3*i + 39. What is the remainder when 49 is divided by i?
10
Let c = 3072 - 3061. Suppose 4*r = -12, 5*r + 0*r - 305 = -5*q. What is the remainder when q is divided by c?
9
Suppose 0 = -5*u - 19*u + 1848. Calculate the remainder when 207 is divided by u.
53
Let y be (-1)/(-4) - (-99)/36. Suppose 0 = y*v - 43 - 44. Calculate the remainder when v is divided by 10.
9
Suppose -3*r - 2*r - 279 = -4*l, -5*l + r = -354. What is the remainder when l is divided by (12/(-36))/(8/6) - (-290)/8?
35
Suppose 22*u = 51*u - 203. What is the remainder when 11 is divided by u?
4
Suppose 4*x = 2*x + 248. What is the remainder when x is divided by 27/2*12/9?
16
Let u(l) = 10*l**2 + 3*l - 6. Let g be u(2). Suppose -5*f - b = -g, 5*b - 50 + 11 = -2*f. Calculate the remainder when f is divided by 5.
2
What is the remainder when (4/(-2))/((-4)/54) is divided by 13?
1
Let t = -85 - -107. What is the remainder when 64 is divided by t?
20
Let w = 19 + -19. Suppose 4*i = -w*i + 104. Calculate the remainder when i is divided by 10.
6
Let g(t) = 11*t**2 + 7*t + 31. What is the remainder when g(-5) is divided by 13?
11
Suppose 0 = 3*k - 668 - 361. What is the remainder when k is divided by 43?
42
Suppose v - 25 = -b - 3*b, 0 = 5*v - 25. Suppose 0 = -b*c - 0*c + 90. Let x(p) = -p**3 + 7*p**2 + 2*p - 7. Calculate the remainder when c is divided by x(7).
4
Let i(w) = 7*w**3 + 5*w**2 - 6*w. Let a be i(3). Suppose -9*n = -a - 36. What is the remainder when 55 is divided by n?
27
Let d = -121 + 155. Let a = 8 - 11. Let b(j) = 2*j**2 + 2*j - 3. What is the remainder when d is divided by b(a)?
7
Let m = 22 - 20. Suppose m*h - 23 = 21. Calculate the remainder when 63 is divided by h.
19
Let i(f) = -f - 14. Let j be i(-16). Suppose 0 = -4*y + 4*t - t - 156, -j*t + 78 = -2*y. What is the remainder when (68/6)/((-26)/y) is divided by 9?
8
Let a = 24 - 16. Let p be 75 + (0/3 - 1) - 2. Let r = -51 + p. What is the remainder when r is divided by a?
5
Let u be 73/(-5) - (-2)/(-5). Let a be ((-1)/(-2))/(u/(-150)). Let g(s) = s**2 - 2*s + 6. What is the remainder when g(a) is divided by 11?
10
Suppose 1050 = -152*n + 166*n. What is the remainder when 194 is divided by n?
44
Let p be (1*73)/((-21)/(-42)). Let q = -97 + p. Let a = 10 - -3. Calculate the remainder when q is divided by a.
10
Suppose 3*y + 165 = 5*a, 3*a + 4*y = 26 + 73. Let f(t) = -3*t - 50. Let x be f(-17). What is the remainder when a is divided by (-5 + -18 + 4)/(-2 + x)?
14
Let z = 77 + 89. Calculate the remainder when z is divided by 43.
37
Let b = 16 + -18. Let k(q) = q**3 + q**2 - q - 1. Let a be k(b). What is the remainder when 47 is divided by (36/10)/(a/(-10))?
11
Suppose 0 = -2*c - 3*c - 40. What is the remainder when (-12)/54 + (-382)/(-18) is divided by (3/(-4))/(1/c)?
3
Suppose -10*j - 2*w - 146 = -14*j, 5*w = 5. Calculate the remainder when j is divided by 20/(3 - (-2 - -4)).
17
Suppose 3*w = -2*x + 21, x - 2*w = 3*w - 22. Let o(y) = y**3 + 17*y**2 + 72*y + 20. What is the remainder when o(-7) is divided by x?
0
Let w(g) = -g**2 - 43*g + 208. Let n(t) = t**3 + 12*t**2 - 3*t + 5. Calculate the remainder when w(-45) is divided by n(-12).
36
Let o be (-8)/6*(-24)/16. Suppose o*p + 0*p = 146. Suppose p = 4*a - 3*w, -3*w + 10 = -w. Calculate the remainder when a is divided by 8.
6
Let c(w) = 3*w**3 - 2*w**2 + 2*w + 3. Calculate the remainder when 286 is divided by c(3).
70
Let x = -161 + 188. Calculate the remainder when x is divided by 6.
3
Suppose 4*y - 2*p - 28 = 620, 4 = -2*p. Suppose 0 = -5*l + 4*a + y, 3*l - 55 = 5*a + 39. Calculate the remainder when l is divided by 18.
15
Let q(f) = 2*f**3 - f**2 + f. Calculate the remainder when 125 is divided by q(2).
13
Let o(c) = c**2 - 3*c + 20. Let d = 27 + -22. Let s(k) = k**2 + 6*k + 10. What is the remainder when o(d) is divided by s(-7)?
13
Suppose -215*v + 218*v = 2955. What is the remainder when v is divided by 29?
28
What is the remainder when (-176)/2904 - (-47423)/33 is divided by 48?
45
Let q be (-2 - (0 - 2)) + 206. Suppose x + 39 + q = 4*h, x = -1. What is the remainder when h is divided by 21?
19
Suppose 43 + 17 = 5*g. Let t = 15 + -1. Calculate the remainder when ((-3)/g)/((-1)/(-1 - -213)) is divided by t.
11
Suppose 3*p = 7*p - 24. Let i be 35 - (-2 - p/3). Suppose -c = -4*c + i. What is the remainder when 37 is divided by c?
11
Suppose -2*w + 22 = -2*t, 0 = 5*w - 2*t - 15 - 37. Calculate the remainder when 448 is divided by w.
8
Let a = -72 + 109. Let p(d) = 74*d**2 + 6*d - 4. Let b be p(1). Suppose 4*c + 36 = 2*u, 4*u - 2*c - 2*c = b. Calculate the remainder when a is divided by u.
17
Suppose -3*w = -1 - 62. What is the remainder when w is divided by 5 - ((-18)/(-45) - 222/30)?
9
Let g = 781 + -768. Suppose 0*x + 4*x = -20. What is the remainder when (-2)/x - (-178)/5 is divided by g?
10
Let z = -104 - -389. Suppose 3*k + 100 = -5*t + z, 2*t - 3*k = 53. Calculate the remainder when t is divided by 12.
10
Let c be (-3 - -2)*-6 - 2. Suppose -2*g + 4 = 4*o, -2*o + c*o - 4 = -2*g. Calculate the remainder when (3 + -2)/((-2)/(-4)) is divided by g.
0
Let j(f) = f**3 - 2*f**2 + f + 19. What is the remainder when j(0) is divided by 7?
5
Suppose 3*d + 66 + 39 = 2*l, l = -4*d + 36. What is the remainder when l is divided by 5?
3
Let x = 1545 - 1540. Calculate the remainder when 86 is divided by x.
1
Suppose 159*b = 167*b - 3024. Calculate the remainder when b is divided by 19.
17
Suppose 4*q = 4*u + u + 300, 4*q = 2*u + 288. Calculate the remainder when q is divided by 38 - (0 + -3 + 5).
34
Suppose -14 = 689*r - 691*r. Suppose 0 = -4*o + 19 - 7. What is the remainder when r is divided by o?
1
Suppose 0 = 4*p + k - 4, 4*p - 12 = -k - 2*k. Suppose -4*b = 4*r + 8, b + 2 + p = 2*r. Calculate the remainder when b/(-3)*12 + -1 is divided by 3.
1
Let s = 1521 - 480. Calculate the remainder when s is divided by 29.
26
Suppose 0 = -2*t - 5*o + 40, -21 = -t - 5*o - 1. Calculate the remainder when 75 is divided by t.
15
Let a be ((-1)/(-2))/(42/40 + -1). Suppose -2*d = 4*m - 24, 5*m = 2*d + 40 - a. Let y = -5 - -9. Calculate the remainder when m is divided by y.
2
Suppose 7*o = 3344 + 352. Suppose 0*g = -6*g + o. What is the remainder when g is divided by 15?
13
Suppose -w = 3*x - 7 - 34, 4*w = 8. Calculate the remainder when 86 is divided by x.
8
Let q = 15 + -1. Let s be (-2 + 7 - 6) + 4/2. Let b = 39 + s. What is the remainder when b is divided by q?
12
Suppose 0 = -t - 0*t + 30. Let n = -51 + 56. What is the remainder when n is divided by ((-4)/6)/((-5)/t)?
1
Suppose g - 3*t - 39 = 0, g - 7*t = -3*t + 40. Suppose y - 102 = -0*y - p, p = -4. What is the remainder when y is divided by g?
34
Suppose -5*h = -0*h - 80. Let x = 23 - h. What is the remainder when 17 is divided by x?
3
Suppose -11*y + 1427 = -5635. What is the remainder when y is divided by 5?
2
Let i = 190 + -110. What is the remainder when i is divided by (11 - 2)/(35/105)?
26
Suppose -93 = s - 4*s. Suppose -3 = 21*l - 33 - 201. What is the remainder when s is divided by l?