8 is divided by z?
8
Let w = -11 - -31. Suppose 2*p - 2*n - 228 = 0, -5*p + 4*n = -7*p + 246. What is the remainder when p is divided by w?
17
Suppose -3*u = s - 3509, -127 = -u + s + 1032. What is the remainder when u is divided by 10?
7
Let f(t) = 7*t**2 + 12*t - 49. Let l be f(3). Suppose -6*k = -8*k - 3*q + l, 0 = -k - 5*q + 39. What is the remainder when k is divided by 8?
3
Suppose -2*k = 3*y + 4 - 2, -k - 2 = y. Let a be 4/(-8)*-38 + -5. Suppose -4*d = -y*d - a. Calculate the remainder when d is divided by 1.
0
Let f(i) = 2*i**2 - 48*i + 193. Calculate the remainder when 360 is divided by f(20).
30
Suppose 0 = -3*a + 2*a - 60. Let q = -56 - a. Suppose -158 = -3*y - m, -q*y + m = 3*m - 208. Calculate the remainder when y is divided by 28.
26
Let j = -12 - -19. Suppose q - j = 3. Suppose 499 = 5*w + 4*u, 0 = 4*w + 5*u - 198 - 203. What is the remainder when w is divided by q?
9
Let f = -20575 - -20711. What is the remainder when 415 is divided by f?
7
Suppose 270*q - 4380 = 210*q. What is the remainder when 111 is divided by q?
38
Let i(g) be the second derivative of 5*g**4/3 + g**3/6 - g**2/2 + 34*g. Let x(b) = -10*b**3 + 2*b. What is the remainder when x(-2) is divided by i(1)?
16
Let t(d) = 2*d**2 - 92*d - 204. Calculate the remainder when t(72) is divided by 23.
21
Suppose 24*x = -790 - 482. Let n = 61 + x. Let d = -28 - -90. What is the remainder when d is divided by n?
6
Suppose 0 = 3*g - h - 59 - 388, 291 = 2*g - 3*h. What is the remainder when 2698 is divided by g?
148
Suppose -80*x + 108*x - 2926 = -798. Calculate the remainder when 182 is divided by x.
30
Suppose 0 = 5*y + u - 291, u = -4*y + y + 173. Let h = -38 + y. Calculate the remainder when 76 is divided by h.
13
Let s = -4 - 2. Suppose 4*j - 292 = 4*q, 8*j + 3*q = 12*j - 297. What is the remainder when j is divided by s/3 - 0 - -29?
24
Let x(y) = y**2 + 13*y - 41. Let j = 69 - 86. What is the remainder when x(j) is divided by 17?
10
Let f = 2135 - 2072. Calculate the remainder when f is divided by 50.
13
Let o = 138 - 135. Suppose 2 = 5*t - o. What is the remainder when 51 is divided by 26 - (1 - t - 2)?
23
Suppose 29*n = 25*n + 16. Let g(w) = 2*w**2 + 8*w - 19. Calculate the remainder when g(n) is divided by 23.
22
Suppose 5*c = -69*a + 74*a + 1210, 2*c + 4*a = 460. Calculate the remainder when 9518 is divided by c.
236
What is the remainder when (-4776)/(-27) - 28/(-42) - 4/(-9) is divided by (8 - 13)/(1/(-3))?
13
Let p(o) = o**3 + 12*o**2 - 46*o + 1. Suppose -3*h = 4*b - 74, 5*b = 4*b + 3*h + 26. Calculate the remainder when b is divided by p(-15).
4
Suppose 0*y + 18 = -2*y. What is the remainder when -8*(y/12 + 0) is divided by (-970)/291*3/(-2)?
1
Suppose 57*h + 829 - 3223 = -69*h. Calculate the remainder when 9290 is divided by h.
18
Suppose 0 = -z - 2, 0 = 2*b - 4*z + 679 - 107. Let f = b - -321. Calculate the remainder when f is divided by 5.
1
Suppose 4*m = 33 + 3. Let b(x) be the first derivative of 10*x**2 - 6*x + 102. What is the remainder when b(2) is divided by m?
7
Let q = 340 + -326. Suppose -5*s - 24 = -4*w + 265, -w + 88 = 4*s. Suppose w = 2*n - 0*n. What is the remainder when n is divided by q?
10
Suppose -4*f - 1130 = -3*q, 16*q = 11*q + 2*f + 1860. What is the remainder when q is divided by 140?
90
Suppose -6*q = -55 - 1031. Calculate the remainder when q is divided by 78.
25
Let d = -138 + 162. What is the remainder when (-219 - -6)/(9/d*-2) is divided by 24?
20
Let o be (-4 + 5)/(1/(-9)). Let a = -9 + 24. Calculate the remainder when (3 - (-139)/3)*o/(-3) is divided by a.
13
Let t be 68 - -6*5/10. Let s = t + -68. Suppose -3*j - 21 + 174 = s*i, -i + 39 = 4*j. Calculate the remainder when i is divided by 19.
17
Suppose 24 = i - 2*v, 2*i - 15 = 5*v + 35. Calculate the remainder when (1/2)/(3 - 63765/21346) + (-22)/231 is divided by i.
19
Suppose 5*a = 20, -3*a - 147 - 179 = -2*m. Suppose 136 = -40*r - 224. What is the remainder when m is divided by 3*((-3)/r)/(5/215)?
40
Let b = 2871 - 2041. What is the remainder when 42/(-4)*(5 - (-196)/(-12)) is divided by 6/(-8) + b/40?
19
Let r = 14033 + -14011. Calculate the remainder when 76 is divided by r.
10
Let w = 96 + -55. Let j = -38 + w. What is the remainder when (90 - j/3) + 0 is divided by 15?
14
Let z = 6184 + -6082. Let x = 6 - -15. Calculate the remainder when z is divided by x.
18
Suppose -21*f + 5*f = -f. What is the remainder when f/2*(-7)/(-21) + 153 is divided by 52?
49
Suppose 69*h = 3155 + 2503. Calculate the remainder when 210 is divided by h.
46
Suppose 5*n = -4*s - 333, 0 = -13*s + 18*s - 4*n + 447. Let g(z) = -21*z + 7. Let c be g(7). Let i = s - c. Calculate the remainder when i is divided by 18.
17
Let i(l) = -2*l**3 - 65*l**2 - 56*l - 86. What is the remainder when i(-32) is divided by 36?
34
Let q = 641 + -554. Suppose 0 = 6*u - q + 3. Calculate the remainder when 62 is divided by u.
6
Suppose -160 = 4*z - 7*z + 5*x, -3*x = -3*z + 156. Let n = z - 50. Suppose -5*s - 24 + 129 = n. What is the remainder when 35 is divided by s?
14
Let c(l) = -152*l + 915. What is the remainder when 9/(-6)*(0/5 + -14) is divided by c(6)?
0
Let d(r) = r**3 - 12*r**2 + 11*r + 3. Let k be d(11). Suppose u = -4*g + 24, g - 27 = -k*u - 2*g. Calculate the remainder when u is divided by 8 + (-8 + 1)*1.
0
Suppose 20*h + 15*h + 7665 = 36*h. What is the remainder when h is divided by 18?
15
Let q = 11593 + -11513. Calculate the remainder when 398 is divided by q.
78
Let u(l) = l**2 - 14*l - 13. Let q be u(15). Suppose a = -q*d + 10 + 1, 3*a - 37 = -5*d. Let c = -461 - -534. Calculate the remainder when c is divided by a.
16
Let z(a) = 35*a - 1089. What is the remainder when 4772 is divided by z(32)?
29
Let m(s) = 2*s**2 - 31*s - 11. What is the remainder when 867 is divided by m(-9)?
7
Let l be 25/(-10)*84/70. Let t = -22 + 10. Calculate the remainder when ((-436)/t)/(-1)*l is divided by 28.
25
Suppose -22*n = -16883 + 9873 - 40620. What is the remainder when n is divided by 27?
5
Suppose 0 = 5*v - 4*p - 387 + 332, 2*v - 2*p = 24. Calculate the remainder when 30 is divided by v.
2
Suppose z = -h + 4888, h + 5896 = 5*z - 18502. Calculate the remainder when z is divided by 148.
145
Let a = 8168 - 8141. What is the remainder when 1455 is divided by a?
24
Let l = -60 - -126. Suppose 214 + l = -5*c. Let o = c + 73. What is the remainder when 99 is divided by o?
14
Let b(z) = 15*z**2 - 13*z + 7. Let y be b(9). Suppose 3*s = -2*s + y. Let g = s - 157. Calculate the remainder when g is divided by 22.
20
Let x = 33231 - 33170. What is the remainder when 403 is divided by x?
37
Suppose -t = -8*i + 6*i + 20, 0 = 5*t - 10. Suppose 4*g = i*g - 175. What is the remainder when 499 is divided by g?
24
Let z(x) = 2*x**2 - 19*x - 8. Let w be z(10). Suppose w*q = -55 + 91. What is the remainder when 81 is divided by q?
9
Suppose 0 = 8*l - 14*l + 816. Let q = 177 - l. Calculate the remainder when q is divided by 6.
5
Suppose -4*y + 8 = d, 6*y + 2 = 4*d + 7*y. Suppose -w = -8*g + 6*g - 32, 3*w + 3*g - 87 = d. What is the remainder when w is divided by 25?
5
Let w(f) = 44*f**2 + 90*f + 1. Let c be w(-5). Let s = -638 + c. What is the remainder when 388 is divided by s?
11
Calculate the remainder when (-4)/3 - 172/30*350/(-5) is divided by 43.
13
Let w(j) = 31*j + 150. Let b(k) = -16*k - 76. Let z(l) = -11*b(l) - 6*w(l). Calculate the remainder when z(-15) is divided by 44.
42
Let q(t) = t**2 - 14*t - 99. Let f be q(21). Calculate the remainder when 216 is divided by 2 + 24/(-9) + 2144/f.
40
Calculate the remainder when 482 is divided by (735/(-630))/(1/(-138)).
160
Let u(k) = -k**3 - 34*k**2 + k + 29*k**2 + k + 13. What is the remainder when u(-6) is divided by 10?
7
Let o(u) = u**3 + 6*u**2 - 10*u + 1. Suppose -4*c - 829 = -5*j, 6*j - 2*c + 346 = 8*j. What is the remainder when j is divided by o(-7)?
15
Suppose 0 = -102*f + 106*f - 552. Suppose -10*m = 4*c - 12*m - f, 0 = -2*m + 10. What is the remainder when c is divided by 10?
7
Let f = -14978 + 14990. What is the remainder when 176 is divided by f?
8
Suppose -220*m = -216*m + 4*p - 188, 3*m + 5*p - 153 = 0. What is the remainder when 3195 is divided by m?
38
Suppose -3*c + 20 - 5 = -2*s, -s - 21 = 3*c. What is the remainder when 39/s*((-36)/3 - -4) is divided by 19?
7
Let w =