ed by 3.
2
Let y be 5 + 0/3 + -3. Suppose y*c + 5*a - 55 = -20, -5*a + 5 = 0. What is the remainder when (0 + 14)/(1/3) is divided by c?
12
Let f = -59 - -61. Let t(a) = 2*a**3 + a**2 + 2*a - 2. Let v(c) = 2*c - 8. What is the remainder when t(f) is divided by v(6)?
2
Suppose m + 9*m = 170. Suppose d = 5*u - 53, 0*u + m = 2*u + d. What is the remainder when (-3)/(-9) + (-240)/(-9) is divided by u?
7
Let h = 409 - 396. Calculate the remainder when 48 is divided by h.
9
Suppose 18088 = 23*c + 5*c. What is the remainder when c is divided by 25?
21
Let v = 83 + -45. Let f = -392 - -578. Calculate the remainder when f is divided by v.
34
Let a be 2/3 - 605/(-15). Suppose 0 = 3*g - 4*g + a. Calculate the remainder when g is divided by 14.
13
Suppose 6*m - 1200 = -0*m. Suppose 2*p - 10*p + m = 0. Calculate the remainder when p is divided by 14.
11
Suppose -74*x = -68*x - 126. What is the remainder when x is divided by 12?
9
Suppose -2*v = -7*a + 8*a - 138, 0 = 2*v + 3*a - 146. What is the remainder when v is divided by (46/2 - -3) + -3?
21
What is the remainder when (-10)/(-15) - 846/(-27) is divided by 26?
6
Let t(k) = -k**2 - 16*k + 6. Calculate the remainder when t(-16) is divided by 4.
2
Let w(t) = 5 + 168*t + 12*t**2 - t**3 - 168*t. Let r be w(12). Suppose 1 = 3*q + 4, -4*a + 75 = r*q. Calculate the remainder when 38 is divided by a.
18
Suppose -4*w = 21 + 27. Let j = w + 17. Calculate the remainder when 4*j + 0/8 is divided by 11.
9
Let i = -270 + 292. What is the remainder when 83 is divided by i?
17
Let w be ((-4)/(-3) + -1)*24. Suppose w*m = 3*m - 70. Let t = m + 47. What is the remainder when 63 is divided by t?
30
Let v = -199 + 293. Suppose -3*q = -q - v. Let t = -52 + 68. What is the remainder when q is divided by t?
15
Calculate the remainder when 438 is divided by 20/5 + -3 + 0 + 9.
8
What is the remainder when 237 is divided by 164/5*-5*(-5)/10?
73
Let w(m) = -m**2 - 5*m + 12. Suppose 0 = 3*b - 3*p - 66, 96 = 3*b + b + 4*p. Calculate the remainder when b is divided by w(-6).
5
Suppose 0 = -9*f + 3*f + 3*f. Let o be 45/6 - 2/4. Suppose f = -v + 26 + o. Calculate the remainder when v is divided by 12.
9
Suppose -j = 3, 0 = -2*o + 3*j + j + 18. Let q(d) = 4*d**2 - 6*d + 12. Calculate the remainder when 148 is divided by q(o).
28
Suppose 0 = 12*q - 2114 + 350. Calculate the remainder when q is divided by 45.
12
Let w(s) = -4*s. Let g(j) = j**3 + 10*j**2 + 19*j + 33. Calculate the remainder when g(-7) is divided by w(-4).
15
Suppose -2*q = -7*q + 135. Let s be (-28)/(-6)*q/(-18). What is the remainder when 26 is divided by 1*s/(-2)*2?
5
Suppose -h + 3*j + 12 = 0, 4*h + 3*j + 7 = -5. Suppose -10*p + 33 - 3 = h. Suppose 5*g = 5*d + 40, 3*d + 20 = -d. What is the remainder when g is divided by p?
0
Suppose -d + 3*d = 0, -2*d - 25 = 5*a. Let q(m) = m**2 + 2*m. Suppose 33 - 9 = 3*r. Calculate the remainder when q(a) is divided by r.
7
Suppose -1380 - 1581 = -9*x. Calculate the remainder when x is divided by 83.
80
Let c(y) = 15*y + 1. Calculate the remainder when c(4) is divided by (-831 - -849)/(1 - -1).
7
Suppose -2*n + 25 - 69 = 0. Let c = n + 63. Calculate the remainder when c is divided by (0 - 6/(-4))*14.
20
Let m(a) = 2*a**2 + 88*a + 174. What is the remainder when m(-42) is divided by 6?
0
Let t = -540 - -668. What is the remainder when t is divided by 29?
12
Suppose 5*k + 2*w - 22 = 4, -32 = -5*k - 4*w. Let l(d) = -13*d + 165. What is the remainder when l(12) is divided by k?
1
Let r(t) = -t**2 - 11*t + 5. Calculate the remainder when r(-5) is divided by ((-6)/4)/((-286)/(-260) + 20/(-16)).
5
Suppose 0 = -15*f + 20*f - 80. Let a = 3 + f. What is the remainder when 92 is divided by a?
16
Let n(q) = -q + 0*q + 13*q**3 - 35 + 36. What is the remainder when n(1) is divided by 3?
1
Let n = 50 + -29. Calculate the remainder when 238 is divided by n.
7
Suppose 0 = 4*v + 3*b - 156, -3*b - 72 + 267 = 5*v. What is the remainder when v is divided by (-158)/(-16) - (-13)/104?
9
Let v(r) = 19*r - 13*r - 6 + 1 - 2. What is the remainder when 50 is divided by v(3)?
6
Suppose 2*v + 10 = -5*f - 15, -4*v = -5*f - 25. Suppose 3*x + 1 = -p, v = 5*p + 5*x - 6 + 1. What is the remainder when (-71)/p*(-1 + -1) is divided by 15?
11
Calculate the remainder when 35 is divided by ((-49)/28)/(1/(-12)).
14
Let f = 2 - -92. What is the remainder when f is divided by 48?
46
Let t be -87*(-4 + 1 - -2). Suppose -7*s - t = -10*s. What is the remainder when s is divided by 11?
7
Let r(b) = 0 - 3 - 3*b - 2. Calculate the remainder when r(-7) is divided by ((-4 - 2)/6)/((-7)/70).
6
Suppose -4*x = -2*n - n - 21, 5*x + 5*n = 70. Suppose -x = -4*f + 19. Calculate the remainder when 27 is divided by f.
6
Let a = -12 + 10. Let k(l) = l**3 + 2*l**2 + l - 1. Let y be k(a). Calculate the remainder when 7 is divided by 1 + 0 + (0 - y).
3
Let c(t) = -t**3 + 5*t**2 + 39*t + 13. Calculate the remainder when c(9) is divided by 9.
4
Let l = -1247 - -1279. What is the remainder when l is divided by 11?
10
Let f = -201 + 237. What is the remainder when f is divided by 5?
1
Suppose -14*c = 14*c - 336. Suppose -3*x - 24 = -6*x. Calculate the remainder when c is divided by x.
4
Suppose 5*h = u - 13, -2*h + 17 = 4*u - 13. Suppose -u*v = -1026 + 154. Suppose 28 = -2*p + 3*p. Calculate the remainder when v is divided by p.
25
Let s(k) = -5*k - 2*k**3 + 5*k**3 + 4*k**2 - 2*k**3 + 2. Suppose -18 = -2*r - 3*c - 0*c, -4*r + c + 22 = 0. What is the remainder when s(2) is divided by r?
4
Suppose -86 - 40 = -3*a. What is the remainder when 207 is divided by a?
39
Let p = 102 - 96. Suppose -5*k - p*a + a + 350 = 0, 2*k = a + 143. What is the remainder when k is divided by 20?
11
Let u(y) = -y**2 - 10*y + 4. Calculate the remainder when u(-8) is divided by (-76)/(-7) + (-10)/(-70).
9
Suppose -11*j = -10*j - 43. Calculate the remainder when j is divided by 12.
7
What is the remainder when ((-28)/35)/(2 + 1422/(-710)) is divided by 36?
32
Suppose 52 = 3*g - g + 4*h, -4*g - 4*h = -96. Suppose 7*q - 5*u - 66 = 4*q, -q - 2*u = -g. Let a = -20 + q. Calculate the remainder when 3 is divided by a.
1
Suppose 0 = 3*o + 5*u + 6, 5*o - 2*u - 21 = -0*o. Suppose -2*t - 174 = -3*f, -2*t - 9 = -o. What is the remainder when f is divided by 29?
27
Suppose 3*x - 342 = -5*a + 216, -2*a + 5*x = -248. What is the remainder when a is divided by 633/21 + (-5 - 68/(-14))?
24
Suppose 3*x + 3*y - 32 = -x, 5*x = 4*y + 71. Suppose 0 = -3*j - 2*j + 40. What is the remainder when ((-99)/44)/((-1)/j) is divided by x?
7
Suppose -4*f + 6 = 2*s, -3*s + 8 = -f - 8. Suppose k - m - 6 = 0, s*k + m - 38 = 2*m. Suppose 3 = -r + k. Calculate the remainder when r is divided by 4.
1
Let s be (2/(-4))/((-2)/40). Suppose -19*x - 5*z - 444 = -22*x, z = 0. Suppose -s = -5*n, b + 5*n - x = -b. Calculate the remainder when b is divided by 18.
15
Let f = 12 + 42. Let l be (f/7)/((-39)/(-364)). Let c = -38 + l. Calculate the remainder when c is divided by 12.
10
Let q(o) = -2*o**3 + 15*o**2 - 8*o + 8. Let w(y) = 2*y**2 + 4*y + 2. What is the remainder when w(-2) is divided by q(7)?
0
Let z = 7 - 1. Let l = 196 + -136. Let o = l + -50. Calculate the remainder when o is divided by z.
4
What is the remainder when ((-25)/2)/((-14)/(-8) + -2) is divided by 117/(-6)*2/(-3)?
11
Let a be 7 - 1/((-3)/9*-1). Suppose -32 - 28 = -a*h. Calculate the remainder when h is divided by 4.
3
Let i(q) = 7*q. Suppose -6 - 4 = -5*c. Suppose 4*m = 4*j - 280, 5*j = 5*m - m + 348. Calculate the remainder when j is divided by i(c).
12
Let y be (1*(-6)/(-9))/(3/9). Suppose -g + 23 = q, -g = -y*q - 2*g + 43. What is the remainder when 39 is divided by q?
19
Suppose 41*p - 36*p - 1010 = 0. Calculate the remainder when p is divided by 53.
43
Let v(d) be the third derivative of 7*d**5/30 - d**3/2 + 2*d**2. Calculate the remainder when v(-3) is divided by ((-4)/4)/((-3)/93).
30
Let z = 208 + -186. What is the remainder when 35 is divided by z?
13
Let x = 957 + -616. What is the remainder when x is divided by 90?
71
Let m be 0/1*(-3 - 6/(-3)). Suppose -a - 17 + 160 = m. What is the remainder when a is divided by 48?
47
Let q(d) = 2*d**2 + 14*d - 12. Let c be q(-9). Suppose -c*k = -15*k - 99. Calculate the remainder when 87 is divided by k.
10
Let s(y) = y**2 + 2*y - 8. Suppose 0 