en (-54)/90 - (-148)/5 is divided by f(m)?
14
Let x(n) = -n**3 + 5 - 10*n**2 - 9*n**2 - 16 + 27*n**2 + 2*n**3 - 4*n. What is the remainder when 54 is divided by x(-8)?
12
Suppose -2*s - 5*p + 12 = -2*p, 0 = p - 2. Suppose -4*j + s*j + 17 = 0. Calculate the remainder when j is divided by 10.
7
Let t(z) = 77*z**2 - 2*z + 2. Suppose 166*m = q + 168*m - 76, m - 193 = -3*q. Calculate the remainder when t(2) is divided by q.
58
Suppose 5*h = 4*b - 243, -2*b + 289*h = 285*h - 114. Calculate the remainder when 596 is divided by b.
60
Let s(w) = w**2 - 3*w + 182. What is the remainder when 9575 is divided by s(10)?
251
Let n be (-2)/11 - (-3744)/(-99). Let f = n + 40. Suppose f = x - 55. What is the remainder when x is divided by 17?
6
Let f(u) = 7*u**2 - 2*u + 278. Let l be (3 - 3)/((-3)/(3/4)). What is the remainder when f(l) is divided by 40?
38
Let i = 2 - -16. Suppose -i*a - 125 = -13*a. Let s = 9 - a. What is the remainder when s is divided by 9?
7
Let o(k) = 12*k - 10. Let n be o(-4). Let p = n + 61. Let q(d) = d**3 - 2*d**2 - 2*d - 1. Calculate the remainder when 6 is divided by q(p).
0
Let b(w) = -6*w**3 + 3*w**2 - 7*w + 37. What is the remainder when 6289 is divided by b(0)?
36
Suppose -14 - 88 = -2*z. Suppose 68*s + 21984 = 176*s - 84*s. Calculate the remainder when s is divided by z.
49
Suppose -2*i + 25 = 2*m - 299, -3*m - 778 = -5*i. What is the remainder when 974 is divided by i?
26
Suppose 5*l - 7 = -17, q + 3*l = 0. Calculate the remainder when 126 is divided by -6 + 27/q - (-267)/6.
40
Suppose -q = 16*n - 21*n + 109, 59 = 3*n + q. Calculate the remainder when 75 is divided by n.
12
Let z = 73 + -13. Let y(r) = r**2 - 14*r + 40. Let v be y(13). Suppose 120 = 7*a - v. What is the remainder when z is divided by a?
18
Let o be 6 - -1 - 1*3. Suppose 0 = -n + o*v + 54, -4*n + 327 = n - v. Let f(y) = -2*y**2 - 78*y + 198. What is the remainder when n is divided by f(-41)?
32
Suppose 20*g - 24*g = -40. Let h(k) = -2*k**2 + 22*k + 2. Let q = -55 + 136. Calculate the remainder when q is divided by h(g).
15
Suppose 0 = 2*q - 5*m + 3*m - 6, 2*m - 4 = -3*q. Suppose -7 - 17 = -q*s. Calculate the remainder when 383 is divided by s.
11
Let w be (-111)/(-39) + (-12)/(-78). Suppose 4*a - w*h + 17 = 3*a, h = -3*a - 81. Let f = 57 + a. What is the remainder when 90 is divided by f?
28
Suppose 50*r - 56*r = 0. What is the remainder when 364 is divided by 21 + -5 + r/(-1)?
12
Let t(f) = -12*f**2 - 80*f - 65. Suppose r = -3*r + 52. What is the remainder when t(-5) is divided by r?
9
Let s = -25 + 24. Let c be (s - 3) + 419*1. Suppose -2*m + c = l - 0*l, 5*m - 4*l - 1005 = 0. What is the remainder when m is divided by 16?
13
Let s = 192 - 188. What is the remainder when -1 - 4/s*-131 is divided by 33?
31
Suppose 0 = -3*q + 29*g - 28*g + 36, -4*g = -4*q + 40. Let m be 1*(-2)/(-1 - -3). Let c(y) = 50*y**2 + 1. What is the remainder when c(m) is divided by q?
12
Suppose -3*s - 27*a + 23*a + 16 = 0, 5*s = a + 65. What is the remainder when 136 is divided by s?
4
Suppose -24*l + 23*l + 2*w = -95, -4*w = -3*l + 287. What is the remainder when 371 is divided by l?
80
Suppose 4*i - 96 + 12 = 0. Let y = 111 + -100. Calculate the remainder when i is divided by y.
10
Suppose -1158*c + 1127*c + 5394 = 0. What is the remainder when c is divided by 16?
14
Let w = 5816 - 5576. Calculate the remainder when 244 is divided by w.
4
Let z(h) = -4*h**3 - 99*h**2 - 2*h - 107. Calculate the remainder when z(-27) is divided by 2169.
1
Suppose 2*b = -8*b + 30. Suppose -5 = w - b*c + 1, 5*c = w + 12. What is the remainder when 385/66 - 2/(-12) is divided by w?
0
Let v(u) = -12*u + 6. Let j be v(4). Let c be (2 + 1 - 5)*2/4. What is the remainder when -2*(c - j/(-4)) is divided by 12?
11
Let m = -92 - -93. Let n(s) = 309*s + 17. Calculate the remainder when n(m) is divided by 30.
26
Suppose -8*i - 7751 + 122943 = 0. Calculate the remainder when i is divided by 225.
224
Suppose -y - 9143 = -3*w + y, -4*y = 5*w - 15187. What is the remainder when w is divided by 145?
143
Let k = -46163 + 46432. What is the remainder when k is divided by 3/(-6) - (-122)/4?
29
Suppose -5*t - 600 - 331 = -3*x, 4*t = -2*x - 758. Let c = -29 - t. Let y = c - 96. What is the remainder when y is divided by 13?
11
Suppose 48 = 2*u - 5*a, 14 = 3*u + 5*a - 8. What is the remainder when 2162 is divided by u?
6
Let r = 205 + -394. Let q = 196 + r. What is the remainder when 46 is divided by q?
4
Let i = 33 + -33. Suppose i = a - b + 56, 5*a + 5*b - 3*b + 301 = 0. Let s = a - -184. What is the remainder when s is divided by 26?
21
Suppose 2*x - 1610 = -8*x. Let g = -133 + x. What is the remainder when 109 is divided by g?
25
Let u be -1 - (-6 - -5 - 3). Suppose -o + 2*p + 688 = o, -u*p = -o + 336. What is the remainder when o is divided by 39?
36
Suppose i = 2*x + 180, -3*i - 2*i + 944 = x. Calculate the remainder when i is divided by (-756)/6*4/(-8).
62
Let d be -5*(-4)/(16/4). Suppose d*j + y + 312 = 0, 2*y = -4*j - 87 - 159. Calculate the remainder when (-1932)/j*(-18)/(-4) is divided by 28.
26
Suppose -9 = 3*p, -5*p + 0*p = -4*m + 2555. Let f = 995 - m. What is the remainder when f is divided by 33?
30
Let y(n) = n**3 + 27*n**2 + 90*n + 7. Let u = -36 - -47. What is the remainder when y(-22) is divided by u?
7
Let h(f) = f**3 + 2*f**2 - 19. Let b be h(0). Calculate the remainder when (-4 - -4)/4 - (b - 3) is divided by 9.
4
Let l(c) = c**2 - c - 32. Let z(y) = -y**3 - 30*y**2 + 28*y - 67. What is the remainder when l(12) is divided by z(-31)?
22
Let v = 2288 + -2173. Suppose -236 = -4*a - 0*a. What is the remainder when v is divided by a?
56
Let y(z) = -z**3 - 24*z**2 - 23*z + 118. Calculate the remainder when y(-23) is divided by 10.
8
Let u = 4418 + -4381. Calculate the remainder when 172 is divided by u.
24
Let i = 4305 + -4152. What is the remainder when 3822 is divided by i?
150
Let l be (16/(-6) - -2)/((-11)/33). Suppose l*t = 2*d + 3*t - 82, 3*t - 12 = 0. What is the remainder when 505 is divided by d?
37
Let d(a) be the first derivative of -9*a**4/2 - a**3/3 - a**2/2 - 83. What is the remainder when 179 is divided by d(-1)?
17
Let y(v) = 5*v**2 + 19*v + 170. Let k(q) = 3*q**2 + 13*q + 113. Let i(a) = -8*k(a) + 5*y(a). Calculate the remainder when i(17) is divided by 18.
10
Let z(b) = 4*b + 70. Let m be z(37). Let s = m + 140. Calculate the remainder when s is divided by 5.
3
Let d be (-5388)/48 - (-2)/8. Let i = d - -124. Calculate the remainder when 37 is divided by i.
1
Let a(u) be the first derivative of -u**2/2 - 2*u - 20. Let v be a(6). Calculate the remainder when 84 is divided by (-99)/(-12)*(v/(-3))/1.
18
Let u = 418 + -654. Let k = u - -263. Let a(f) = f**3 + 2*f**2 - f. What is the remainder when k is divided by a(-2)?
1
Let u(g) = 38*g - 184. Let x be u(12). Suppose -16*n + x = -176. Calculate the remainder when 249 is divided by n.
25
Let a = 124 - -98. What is the remainder when a is divided by (22 + 1128/(-36))/((-1)/6)?
54
Suppose -3*r = -2*p + 757, 97 = p - 2*r - 283. What is the remainder when 250 is divided by p/16 - (-6)/(-16)?
20
Suppose 23*t + 371 = 30*t. Suppose 5*l + 8*g = 3*g + 120, t = 2*l + g. What is the remainder when l is divided by 16?
13
Let h(z) = -3*z - 2. Let v be h(4). Let w = 18 + v. Calculate the remainder when 52 is divided by (-2)/(-6) + (w - (-128)/12).
7
Let b = -338 - -486. Suppose 41*s + 7050 = 276*s. What is the remainder when b is divided by s?
28
Let k be (22/4 - 5)*-2. What is the remainder when k/(-7) - 30448/(-112) is divided by 69?
65
Let a(l) = -5*l**3 + l**2 + 2. Let b be a(-2). Let n = -42 + b. Let t(s) = -s**3 + 2*s**2 + 11*s - 7. Calculate the remainder when 23 is divided by t(n).
3
Let q(k) = -k**3 + 7*k**2 + 16*k + 5522. What is the remainder when q(0) is divided by 25?
22
Suppose 2*c - 388 = 3*h, -1134*c + 3*h + 788 = -1130*c. Calculate the remainder when 767 is divided by c.
167
Suppose -f + 115 = 2*l, -4*f = 5*l - 676 + 222. What is the remainder when 1661 is divided by f?
107
Let d(t) = 5*t - 95. Let y be d(-32). Calculate the remainder when 16 is divided by 15/2*17/(y/(-6)).
1
Let d be 180/50 + 4/10. Suppose 5 - 61 = -d*t. Let w = t - -2. What is the remainder when 37 is divided by w?
5
Suppose -7 = -9*t + 11. Calculate the remainder when