t = -10*j + 350, 0 = -5*j - 2*t + 322. What is the remainder when j is divided by z?
15
Let d(r) = r**3 + 9*r**2 + 4*r + 10. Let y be 1*(-7)/(21/24). Calculate the remainder when d(y) is divided by 12.
6
Suppose 5*q - 53 = -u, -q + 0*q + 13 = u. Calculate the remainder when q is divided by 172/28 - (-4)/28*-1.
4
Let n = -35 - -100. Calculate the remainder when n is divided by 9/45 - (-168)/10.
14
Calculate the remainder when 325 - (15 + -4 - 4) is divided by 64.
62
Let d(c) = c**2 + 34*c + 123. What is the remainder when 49 is divided by d(-31)?
19
Suppose 3*k = 8*k - 105. Suppose 3*h - k = 3*d, -5*d + 11 + 4 = 0. What is the remainder when 19 is divided by h?
9
Let z(r) = -3*r**2 + 6 - 3 + 13*r**2 + 4*r**3 - 3*r**3. Calculate the remainder when 7 is divided by z(-10).
1
Suppose -256 = -4*b - 79*v + 77*v, 3*v = -4*b + 260. Calculate the remainder when b is divided by 7.
6
Let m = 438 - 221. Calculate the remainder when m is divided by 96.
25
Let z(y) = -7*y**2 + 60*y + 1. Calculate the remainder when z(3) is divided by 21.
13
Calculate the remainder when 24/20*(7116/18 - -3) is divided by 37.
34
Let c(r) = 5*r**2 - 3*r + 3. Let u(h) = h**2 + 1. Let d(w) = -c(w) + 6*u(w). Calculate the remainder when (-1)/(772/(-256) + 3) is divided by d(-5).
12
Let r(u) = 32*u**2 + 8*u + 6. What is the remainder when 76 is divided by r(-1)?
16
Let a be (4/(-5))/(2/(-95)). Suppose a = -g + 98. Suppose 0 = 2*u + 2*n - g, 3*u + 11 = 3*n + 77. Calculate the remainder when 103 is divided by u.
25
Let m(l) be the first derivative of l**3 + 2*l**2 + 5*l + 6. What is the remainder when 14 is divided by m(-2)?
5
Suppose 0 = -3*v + 15, 4*v + 0 = 4*q + 8. Suppose 0*d - 12 = -q*d. Suppose -d*i = -16, -a - 4*i + 29 = 8. What is the remainder when a is divided by 3?
2
Calculate the remainder when -1 + 0 - (3*-996)/12 is divided by 53.
36
Suppose 0 = c + 2 - 0. Suppose 5*o - 1 = 3*t + 2, 3*t - 27 = -5*o. What is the remainder when (1 - (c + 0)) + 2 is divided by o?
2
Suppose -2*a - 3 = -y, -3*a + 4*y = y + 9. Suppose a = 3*c + c - 12. Suppose -5*d + q + 79 = -q, -q + 43 = c*d. What is the remainder when d is divided by 8?
7
What is the remainder when 821 is divided by 2/252*21 + 65/6?
7
Suppose -4*z = -5*r, z + z = -2*r. Suppose -2*v + 3 + 65 = r. Calculate the remainder when v is divided by 19.
15
Let i = 37 - 35. Suppose 4*m + i*y - 104 = 0, -2*y + 7*y = 3*m - 104. Calculate the remainder when 54 is divided by m.
26
Let q be (1*(2 + 3))/1. Suppose j - 1 + q = 0. Calculate the remainder when 60 is divided by 85/4 + j/16.
18
Let b be (-122)/6 - 2/(-6). Let f = b + 42. Suppose 2*k + k = -3*a + 135, -3*a - k + 129 = 0. Calculate the remainder when a is divided by f.
20
Suppose 4*w - 54 = 6*w. Calculate the remainder when 494/6 + (-2)/(-3) is divided by (-558)/w + (-3)/(-9).
20
Let o(t) = -2*t + 9*t**2 - 3*t**2 + 3*t + 8*t**2. Calculate the remainder when 62 is divided by o(-1).
10
What is the remainder when 395 is divided by (-6)/(-4)*37/((-444)/(-1064))?
129
Suppose -38*v = -43*v + 65. Calculate the remainder when 206 is divided by v.
11
Calculate the remainder when 339 + (-36)/21 + 26/(-91) is divided by 3.
1
Suppose -6*g + 45 - 9 = 0. Calculate the remainder when 88 is divided by g.
4
Suppose 42 - 39 = 3*a. Calculate the remainder when 143 is divided by a.
0
Let c = 3 + 2. Suppose -5*j = q + 40, c*q + 54 = 3*q + 3*j. Let x = -18 - q. What is the remainder when 45 is divided by x?
9
Suppose 2*p = i - 0 - 52, 273 = 4*i + 5*p. Let z(g) = 9*g + 11. Let u(b) = -1. Let h(x) = -6*u(x) - z(x). What is the remainder when i is divided by h(-2)?
10
Suppose -3*t - 10 = -8*t. Suppose r + 3*f - 3 = 2*f, -r + 2 = t*f. Suppose -10*k + 66 = -r*k. Calculate the remainder when 53 is divided by k.
9
Let x = 564 - 410. What is the remainder when x is divided by 32?
26
Let s = -269 - -313. Suppose -q + 17 = -12. Let i = s - q. What is the remainder when i is divided by 4?
3
Let r be (4/14)/(15/7 - 2). Suppose -r*z = -6*z + 36. Suppose -3*j + 3*c = 2*j - 129, -108 = -5*j - 4*c. Calculate the remainder when j is divided by z.
6
Let j = 325 + -261. What is the remainder when j is divided by 23?
18
Let a = 31 + -25. Suppose 5*x - 105 = -5*v, v + 3*x = a + 15. Suppose v = -s + 117. What is the remainder when s is divided by 33?
30
Suppose -2*d = -6, -2*u - 5*d = -0*u + 99. Let p = -26 - u. Calculate the remainder when p is divided by 16.
15
Let i = -203 - -289. Calculate the remainder when i is divided by 11.
9
Let w(o) = o**3 + o**2 - o - 2. Suppose -b = 2*b + 6. Let d be (3 + b)/((-1)/(-2)). What is the remainder when 23 is divided by w(d)?
7
Let o = 1595 - 1476. What is the remainder when o is divided by 61?
58
Suppose -16*n + 440 = -11*n. Calculate the remainder when n is divided by 2.
0
Suppose 3*h - 4*a - 26 = 0, -2*h = 2*a - 22 + 14. What is the remainder when 50 is divided by h?
2
Let v = -521 + 685. Calculate the remainder when v is divided by 41.
0
Let k(y) = 3*y - 4 + 2*y - 10*y. Let w(m) = 6*m - 1. What is the remainder when w(4) is divided by k(-2)?
5
Suppose -3*g + 2*w + 48 = 2*g, -5*g = 3*w - 28. Calculate the remainder when 22 is divided by g.
6
Suppose 0 = 4*b + 11 - 179. Calculate the remainder when (370/15 + -26)/((-2)/312) is divided by b.
40
Let a = 36 - -1. Suppose w = -w + 4, 5*g - 4*w - a = 0. Calculate the remainder when 24 is divided by g.
6
Let x = 401 + -364. What is the remainder when 112 is divided by x?
1
Suppose -2*m - 2*z + 30 = -0*z, -3*z = -4*m + 39. What is the remainder when (2*2)/(6/33) is divided by m?
10
Suppose -2*t + 1407 = t - 4*u, 468 = t - u. What is the remainder when t is divided by 12?
9
Suppose -6*f - d + 133 = -f, -3*d = 5*f - 139. Suppose 0 = 2*o - 8 + 2, -o = 4*y + 1. What is the remainder when f is divided by 9*(0 + (-1 - y) - -1)?
8
What is the remainder when ((-9)/4)/(60/(-1360)) is divided by 27?
24
Suppose -3*w + 59 = 5*i - 26, -34 = -2*i - 5*w. Let m = 115 - 106. What is the remainder when i is divided by m?
8
Suppose 0 = 4*a - 1006 + 254. What is the remainder when a is divided by 86?
16
Let q(c) = 4*c**2 - 5*c - 5. Let l be q(5). Suppose -5*r - 2*f - 3*f = -l, 5*r + 2*f = 70. Calculate the remainder when 36 is divided by r.
8
Let b(l) = -9*l**2 + l. Let w be b(6). Let d = -109 - w. What is the remainder when d is divided by 35?
34
Suppose j = 5*i, 3*j - 4*i = 2*j + 1. Suppose 180 = -0*l + j*l. What is the remainder when l is divided by 21?
15
Suppose -3*j - 12 = -6*j, 2*s + j - 12 = 0. Suppose s*w - 29 = 55. Suppose 11*a - 15*a = -32. Calculate the remainder when w is divided by a.
5
Suppose 0 = -4*h - 2 - 6. Let m = 9 + h. What is the remainder when ((-12)/(-18)*22)/(4/6) is divided by m?
1
Let s = -1803 - -1821. Calculate the remainder when 1096 is divided by s.
16
Suppose 0 = 4*r - 16, -d - 5*r + 3*r - 141 = 0. Let w = d + 158. What is the remainder when 14 is divided by w?
5
What is the remainder when 202 is divided by (26/(-4))/((-55)/220)?
20
Let c(d) = -d**3 + 4*d**2 + 2*d - 5. Let z be c(4). Suppose 3 = -z*k + 12. Let p = 222 - 216. Calculate the remainder when p is divided by k.
0
Suppose 0 = -s + 3*j + 42, 5*s = -j - j + 210. What is the remainder when 81 is divided by s?
39
Calculate the remainder when 1277 is divided by 5384/88 + 2/(-11).
57
Suppose 4*q - q = 4*p - 43, 2*q - 32 = -2*p. Let v(r) = -r**3 + 8*r**2 - 2*r + 3. Calculate the remainder when v(7) is divided by p.
12
Let v(b) = 296*b**2 - 22*b - 21. Calculate the remainder when v(-1) is divided by 71.
13
Let l be (-110)/(-6) - 2/6. Let z be (-3)/6 + l/(-12). Let o(w) = -4*w + 2. Calculate the remainder when o(z) is divided by 3.
1
Let l be 114/(-8)*24/(-9). Let n = 47 - l. What is the remainder when 13 is divided by n?
4
Let n be 6/21 + 37/(-7). Let a(o) = -3*o - 1. What is the remainder when (0 + n)*(-1 - 4) is divided by a(-5)?
11
Let a(t) = 32*t**2 - t. Suppose 27 = 51*z - 48*z. Suppose -9 = -k + z. Calculate the remainder when a(-1) is divided by k.
15
Calculate the remainder when (68/(-12))/(10/(-390)) is divided by 26.
13
Let y = 518 - 515. Let h(s) = -10*s - 1. Suppose -2*d + 7 = -2*f - d, 5*d = 2*f + 27. Calculate the remainder when h(f) is divided by y.
0
Suppose 137 = 74*t - 159. Suppose -5*x + 3*a + 8 = 0, 4*x + 2*a - 24 = -0*x. Calculate the remainder whe