 s(k) = -3*k + 9. Let w be s(9). Suppose 0 = -3*g - 2*v + 62, -2*g + 15*v - 11*v = 12. What is the remainder when 1118/9 - (-4)/w is divided by g?
12
Let l(w) = 44*w - 1326. Let u = 5 - 8. Let b = 30 + u. What is the remainder when l(35) is divided by b?
25
Let y(m) = 534*m - 3044. Calculate the remainder when 476 is divided by y(6).
156
Suppose 56*h = -b + 60*h + 37, -2*b - 2*h = -84. Calculate the remainder when 7419 is divided by b.
39
Let c(t) = -t**3 + 7*t**2 + 3*t - 5. Let w be (40/6 - (-14)/(-21)) + -976. Calculate the remainder when w/4*224/(-280) is divided by c(6).
47
Let y be (1 - 0) + (-2)/(-2). Suppose -2*r = -0*r + y*l - 16, -2*r = 5*l - 16. Let z(b) = 140*b + 1545. Calculate the remainder when r is divided by z(-11).
3
Suppose 1428 = 680*s - 652*s. Calculate the remainder when 2121 is divided by s.
30
Suppose -20*c + n + 2599 = -17*c, -871 = -c - 2*n. Calculate the remainder when c is divided by 431.
5
Suppose 3*d - 2983 - 4565 = 0. Suppose 0 = -22*m + 9094 - d. Calculate the remainder when m is divided by 12.
11
Suppose 2*c + 5*j = 5323, -20*c + 21*c - 2642 = 4*j. What is the remainder when c is divided by 15?
14
Let w = 653 + -464. Suppose 0 = 4*f - w - 51. Suppose 63*m + f = 68*m. Calculate the remainder when m is divided by 6.
0
Suppose q + 162 = 292. Let n = 166 - q. What is the remainder when 84 is divided by n?
12
Suppose g = -59 + 20. Let k = -44 - g. Calculate the remainder when k*(-36)/(0 + 4) is divided by 12.
9
Let c = 4542 + -4425. Calculate the remainder when c is divided by 54.
9
Suppose 2*i + 3*x - 889 = 0, 9*x - 8*x = 3*i - 1317. What is the remainder when i is divided by 121?
77
Let t = -310 - -316. Suppose 165 = t*x + 5*x. Calculate the remainder when x is divided by ((-27)/(-6))/1*2.
6
Suppose -4*k - 3*d = k - 7, 3*k - 5 = -d. Suppose 0 = f - 13 - 7. What is the remainder when (-50)/f*6/(-5) is divided by k?
1
Let r(j) = -179*j - 126. Let t be r(-5). Let z = t + -258. Calculate the remainder when z is divided by 16.
15
Suppose 339*n = -2*v + 337*n + 17130, 0 = -2*v - n + 17132. What is the remainder when v is divided by 153?
152
Suppose 3*u - 18 = 6. Let d = 23125 - 22944. What is the remainder when d is divided by u?
5
Let i be 5 + (-56)/12 + 544/6. Suppose z + 2*p - i = 0, 3*p - 2 = -8. Calculate the remainder when z is divided by 24.
23
Suppose 7683 = y + 2*f, -y + 4170 = 5*f - 3525. Calculate the remainder when y is divided by 101.
100
Let m(f) be the first derivative of 3*f**4/4 - f**3/3 + f**2/2 + f - 52. Calculate the remainder when 136 is divided by m(2).
21
Let o = 13298 + -12485. What is the remainder when o is divided by 203?
1
Let q = 43 + 11. Let b = q - 31. Suppose 18*j - 17*j = 9*r - 129, -5*r - 3*j = -61. What is the remainder when b is divided by r?
9
Suppose 32*j = 9*j - 483. What is the remainder when (-145)/(-1) - (-18 - j) is divided by 36?
34
Suppose 0 = -5*q + 4*l - 0*l - 71, -l = -q - 14. Let f be (-112)/10 + (-3)/q. Let j = 47 + f. Calculate the remainder when 71 is divided by j.
35
Suppose 0 = -2*p - 4*k + 4076 - 1260, 0 = 2*p + 2*k - 2814. Calculate the remainder when p is divided by 67.
66
Let b = 1077 - 368. Calculate the remainder when b is divided by 89.
86
Let l(f) = -15*f + 5. Let o(z) = 31*z - 10. Let n(k) = -13*l(k) - 6*o(k). Let g be n(3). Let j = 38 - g. What is the remainder when 31 is divided by j?
15
Let s = 789 + 177. What is the remainder when s is divided by 17?
14
What is the remainder when 3135 is divided by ((-20)/6)/(575/(-9660))?
55
Let k = 412 - 196. Suppose -4*z = -5887 + 5667. What is the remainder when k is divided by z?
51
Let n(a) = -3*a + 368. Calculate the remainder when n(24) is divided by 30.
26
Suppose 174 = 3*k + 4*n, -4*k + 15*n - 12*n = -232. Suppose -5*r + 4*l + 126 - 12 = 0, -5*l = 3*r - 61. Calculate the remainder when k is divided by r.
14
Let a = -9 - -13. Suppose -3*v + a*v - 250 = 2*i, 1271 = 5*v - 3*i. Suppose -f - v = -3*f. Calculate the remainder when f is divided by 33.
29
Let i(o) = o**2 + 24*o - 224. Let x be i(-31). What is the remainder when x/(-4) + (-4820)/(-80) is divided by 21?
20
Let m be 0/2*((-104)/24 + 4). Suppose 5*k = -m*k + 220. What is the remainder when k is divided by 13?
5
Let v(d) = 10*d**2 - 45*d - 12. Calculate the remainder when 740 is divided by v(5).
12
Let x = 108 + -87. Calculate the remainder when 164 is divided by x - (-2)/(-2) - -4.
20
Suppose 2*f + d - 817 = 0, -9*f + 5*d + 392 = -8*f. Calculate the remainder when 1230 is divided by f.
9
Let l be 2/(-6) + (-31)/(-3). Suppose -a - 2 = -l. Calculate the remainder when 8 - (-4 + -11) - -8 is divided by a.
7
Suppose -5*s + n = 22, -3*s - 4*n - 4 + 0 = 0. What is the remainder when s/18 - (-4292)/36 is divided by 60?
59
Let i = -575 + 883. Suppose 264 = 3*r + 5*k, 342 = 4*r - 4*k + 9*k. What is the remainder when i is divided by r?
74
Let z = 12 + 0. Suppose -2*y = 8*y + 9*y - 437. What is the remainder when y is divided by z?
11
Let v = -7827 + 7896. Calculate the remainder when v is divided by 6.
3
Suppose -10*c + 262*c + 48*c = 1314 + 1386. Let f = 107 - -17. What is the remainder when f is divided by c?
7
Suppose 0 = 3*z + 1 - 10. Suppose 0 = z*w - 80 + 5. What is the remainder when w is divided by (-207)/92*(2 - 56/12)?
1
Let q(v) = -157*v + 4. Let b be q(-4). Suppose -11*a + b = -468. Suppose -a = o - 3*o. Calculate the remainder when 198 is divided by o.
48
Let p = -70 - -72. Let x be 4 + (p - (-1936 + -5)). Calculate the remainder when ((-2)/2)/((-11)/x) is divided by 18.
15
Let k(w) = -456*w**2 + 4*w + 5. Let y be k(-1). What is the remainder when (30/(-8))/(1/(-16)) is divided by 5/(-20) - y/28?
12
Suppose -91*q - 102 = -94*q. Suppose -q*t - 180 = -52*t. Calculate the remainder when 58 is divided by t.
8
Suppose -4*z + 2*c = -38, 2*c - 6 = 2*z - 22. Let d(u) = 5*u - 45. What is the remainder when d(z) is divided by 10?
0
Let t(h) = h**2 - 47*h - 384. Let g = -3 + 2. Let o(p) = -21*p + 1. Calculate the remainder when t(-8) is divided by o(g).
12
Let j(y) = -12*y**2 + 5 - 14 - y**3 + 0*y**3. Let a be j(-12). Calculate the remainder when 45 is divided by -30*(1 + a/5).
21
Let i be (27/(-36))/(1/16). Let q be 7 - (-76)/i - (-172)/(-6). Let v = q + 117. Calculate the remainder when v is divided by 31.
27
Suppose -767*n + 687080 = -249*n - 12220. Calculate the remainder when n is divided by 111.
18
Suppose -t = 4*h - 126, 0 = -3*h + 129*t - 124*t + 129. What is the remainder when 92 + 2 + 1 + 2 is divided by h?
31
Let v(t) = -2*t**3 + 34*t**2 + 163*t + 33. What is the remainder when v(20) is divided by 28?
25
Let a(n) = -162*n - 21323. Suppose o + 768 = 5*o. What is the remainder when o is divided by a(-132)?
9
Suppose 8*q - 16 = -0*q. Suppose -5*x + 3*b = -131 - 427, -q*b - 220 = -2*x. Suppose -2*p + 26 = -x. What is the remainder when p is divided by 15?
10
Let t(c) = c**3 + 24*c**2 - 54*c - 35. Let x be t(-26). Suppose -27*s + x*s + 480 = 0. What is the remainder when 191 is divided by s?
47
Let s(v) = v**2 + 9*v + 11. Let t(l) = 3*l**2 + 27*l + 32. Let z(w) = -11*s(w) + 4*t(w). What is the remainder when 28 is divided by z(-10)?
11
Suppose -141*u - 3406 = -146*u + 3*w, -2*u - 2*w + 1356 = 0. What is the remainder when u is divided by 69?
59
Let r(x) = 2*x**3 + 27*x**2 + 90*x + 2. What is the remainder when 111 is divided by r(-6)?
1
Let q(x) = -x**3 - 9*x**2 - 9*x + 5. Let k be (-27)/(-9) - 2*(-2)/(-4). Suppose 0 = 3*t - k*t - 76. Calculate the remainder when t is divided by q(-8).
11
Suppose 4*m = -55*m + 236. Suppose 0 = -2*y + m*c - 21 + 59, -c - 32 = -3*y. Let p = 44 - 9. Calculate the remainder when p is divided by y.
8
Let s = -2553 - -2632. What is the remainder when 133 is divided by s?
54
Suppose 104*z - 1260 = 119*z. Let c(x) = -3*x**3 - 2*x**2 - 4. Let r be c(-4). Let b = r + z. What is the remainder when b is divided by 25?
22
Suppose -23*v - 267*v = 9*v - 39468. What is the remainder when 254 is divided by v?
122
Let o = -42 + 0. Let n = 47 + o. Suppose -v + 112 = 3*v - 5*f, -n*f - 20 = 0. What is the remainder when 62 is divided by v?
16
Suppose -7*g - 337 - 62 = 0. Let a = g - -61. Suppose 5*s = -n - 36 + 119, -a*n = 2*s - 26. Calculate the remainder when s is divided by 10.
7
Let g = 187 - 175. Suppose 0 = -4*x - i + 18, -7*i + g = x