et t be s(-6). Let m(f) = f**3 + 14*f**2 - 52*f - 6. What is the remainder when 20 is divided by m(t)?
9
Suppose 3*m + x - 753 = 251, -5*m - 3*x + 1672 = 0. Suppose 12*q - 7*q = m. Let u = 73 + -39. Calculate the remainder when q is divided by u.
33
Let x be 106/22 - 3 - (-2)/11. Calculate the remainder when (-9196)/(-95) - x/(-10) is divided by 28.
13
Let r(n) = n**2 - 18*n - 18. Let l be r(13). Let g = -69 - l. Suppose c - 4*c = -78. Calculate the remainder when c is divided by g.
12
Suppose 3*k - 117 = 2*h, 4*h - 15 = -h. Let a = 82 - k. Let x(b) = -b**2 + 50*b - 287. Calculate the remainder when a is divided by x(7).
13
Let l = -1624 + 1631. What is the remainder when 599 is divided by l?
4
Suppose 0 = 95*z + 27*z - 45262. Let r = 47 - 16. Calculate the remainder when z is divided by r.
30
Suppose -2*d - 4*k = -624, -3*d - k + 1255 = 329. Suppose -d = 7*h - 11*h. What is the remainder when h is divided by -8*(21/(-6) - 1 - -2)?
17
Let r(o) = 3*o**3 - 8*o**2 - 8*o + 18. Let b be r(6). Suppose 5*z + b = 985. Calculate the remainder when z is divided by 22.
21
Let w = 13 - -6. Let z(h) = -7*h**2 + 25*h + 1. Let m(c) = c**2 + c - 1. Let y(a) = m(a) - z(a). Calculate the remainder when y(4) is divided by w.
11
Let m(y) = -y**3 - 28*y**2 - 54*y + 5. What is the remainder when 194/(0 + (-1)/(-3)) is divided by m(-2)?
6
What is the remainder when 1/3*-3 + 61 is divided by (19 + 590/(-20))/((-2)/4)?
18
Let l = -106586 - -106642. Let f(y) = -y**3 + 7*y**2 - 4*y + 7. Calculate the remainder when l is divided by f(6).
18
Suppose 0 = 4*w + 3*n - 8, 5*n + 4 = w + 2. Suppose w*a + 30 = 46. Let u = 155 + -116. What is the remainder when u is divided by a?
7
Let u be (6456/9 + 3)*3. Suppose -532 + u = 9*a. What is the remainder when a is divided by 21?
13
Let q be (-8)/12 - 33/(-9) - -2. Suppose q*w - 306 = -12*w. Let i(d) = 3*d**2 - 4*d + 5. What is the remainder when i(-4) is divided by w?
15
Suppose -2*m + 12 = -0*m. Suppose 2*k = m*k - 212. Let w = -2117 - -2145. Calculate the remainder when k is divided by w.
25
Let o = 37 + 181. Suppose o = 1182*z - 1180*z. What is the remainder when z is divided by 22?
21
Let z(i) = -i**3 - 6*i**2 - 4*i + 5. Suppose -3*x = 4*n - 1161, 5*n + 3*x - 1278 = 171. Calculate the remainder when n is divided by z(-6).
27
Suppose -3*m + m + 66 = 0. Suppose 0 = -78*z + 820 - 274. What is the remainder when m is divided by z?
5
Let f(i) = -113 + 35*i + 209 + 128. What is the remainder when 418 is divided by f(-6)?
12
Suppose -5*b + 10 = 0, -678 = -2*h + 5*b - 0*b. Suppose h - 549 = -5*v. What is the remainder when v is divided by ((-8)/6)/((-4)/18)?
5
Calculate the remainder when 382 - (20 + -29 - -2) is divided by 26.
25
Let r = -1259 + 1276. What is the remainder when r is divided by 11?
6
Suppose 9*q - 14*q - 2165 = 5*m, -4*m - 1742 = 2*q. Let c = -265 - m. Suppose -3 = 3*u - 0*u, 0 = 4*k + u - 115. What is the remainder when c is divided by k?
28
Let f(m) = -36*m**3 - 35*m**2 - 98*m + 24. What is the remainder when f(-3) is divided by 948?
27
Let f(l) = -l**3 + 9*l**2 + 15*l + 1. Suppose 4*m + 87 = -3*t - 60, 3*t - 3*m + 126 = 0. Let z = -32 - t. Calculate the remainder when f(-3) is divided by z.
12
Let g(b) = 2*b**2 - 35*b - 47. Let x be g(19). Calculate the remainder when 102 is divided by ((-483)/(-92))/(x/(-8))*-5.
18
Let i = -1192 - -1114. Let s = -93 - -33. Let c = s - i. What is the remainder when 33 is divided by c?
15
Suppose 0 = 4*m - g + 11 - 25, -7*m - 3*g - 4 = 0. What is the remainder when 190 is divided by m?
0
What is the remainder when (-4857)/(-4) + (-215)/860 is divided by 38?
36
Let i(u) = u + 1. Let b(m) = -19*m - 18. Let x(f) = -b(f) - i(f). What is the remainder when x(5) is divided by 3/(2 + (-17)/9)?
26
Let m be 108/21 + 0 - (-1)/(-7). Suppose 0 = -3*j + t + 254, -m*j - 7*t + 3*t + 412 = 0. Suppose 5*f - j = 36. What is the remainder when f is divided by 2?
0
Suppose -13*m + 560 + 493 = 0. Calculate the remainder when m is divided by 36.
9
Suppose 0 = -3*g + 5 + 10. Suppose g*d = -0*d - 5*k + 265, -5*d - 3*k = -271. Let s = d + -11. Calculate the remainder when s is divided by 16.
13
Let q be (-3)/2 + 12/8. Suppose q*d + 5*d = 195. Let b = -50 - -60. What is the remainder when d is divided by b?
9
Let w(d) = d + 87. Let y be w(-28). Suppose 0 = 4*z + 16, 8*l - 5*l = 5*z + y. Calculate the remainder when 35 is divided by l.
9
Let l = -3744 + 3863. What is the remainder when l is divided by 15?
14
Let o = 66 + -31. Let r(t) = t**2 - 42*t - 338. What is the remainder when r(50) is divided by o?
27
Let n(z) = z**3 + 7*z**2 + 8*z + 46. Let g be n(-7). Let w(x) = 9*x + 93. What is the remainder when 20 is divided by w(g)?
2
Suppose 761220 - 224154 + 1456452 = 342*u. Calculate the remainder when u is divided by 10.
9
What is the remainder when (-171)/(-7) - 3/7 is divided by (22/4)/((-3)/(-24)*4)?
2
Let q(j) = 3*j**2 - 14*j + 8. Suppose 20 = -8*z + 12*z. Let h = 33 - -57. What is the remainder when h is divided by q(z)?
12
Suppose 2790 = 20*z - 5*z. Let j = 72 - -2. Calculate the remainder when j is divided by 54/135 - z/(-10).
17
What is the remainder when ((-1043)/2)/(((-2052)/(-57))/(-72)) is divided by 284?
191
Let t = -182 + 329. Suppose -t = 22*f - 873. What is the remainder when 83 is divided by f?
17
Calculate the remainder when (-2769)/(-3) - (-76 - -51) is divided by 291.
75
Suppose -101*j + 28 = -87*j. Suppose -2*t - j = -20. Calculate the remainder when 593 is divided by t.
8
Suppose 217*g - 423*g = -32960. Calculate the remainder when 6553 is divided by g.
153
Let z(x) = x + 53. Let i(q) = 445*q + 8029. Calculate the remainder when z(0) is divided by i(-18).
15
Let a = -37403 - -37689. Calculate the remainder when 1994 is divided by a.
278
What is the remainder when (-20480)/(-35) + (2/4)/(175/(-50)) is divided by 56?
25
Suppose -4*u - 4*c = 76, 46*c = 48*c + 2. Let z = u + 256. Calculate the remainder when z is divided by 27.
22
Suppose y - 2 = 0, 44 = 2*r - y - y. Suppose -7*m + 430 - r = 0. What is the remainder when 168 is divided by m?
52
Let v = 257 + -171. Let c(s) = 13*s - 11. Let o be c(-10). Let l = -112 - o. Calculate the remainder when v is divided by l.
28
Suppose 0 = -3*c - 32 + 62. Let s(a) = a**2 - 4*a + 17. Calculate the remainder when s(c) is divided by 39.
38
Let l(d) = 87*d + 1131. What is the remainder when 6967 is divided by l(27)?
7
Let x = -638 + 682. What is the remainder when 173 is divided by x?
41
Suppose 20*l - 22*l - 720 = 5*v, v + 147 = -l. Suppose -2*h + 4*s = 426, 5*h - s + 552 + 468 = 0. Let t = v - h. What is the remainder when t is divided by 35?
26
Suppose -2*y - y = -2*s - 16, 0 = -5*y - 3*s + 52. Suppose 585*b - 581*b = y. What is the remainder when b is divided by (-2)/(-8) - 14/(-8)?
0
Let m = -492 - -490. Calculate the remainder when m - (-3 + (-2 - 39)) is divided by 31.
11
Let w = 1731 + 3785. Calculate the remainder when w is divided by 115.
111
Let k(d) be the second derivative of -d**5/20 + d**4/3 - d**3/3 + 7*d**2/2 + 44*d - 2. What is the remainder when 43 is divided by k(2)?
10
Suppose 53*f = 50*f - 195. Let w = f + 65. Suppose w = q - 2 - 1. Calculate the remainder when 22 is divided by q.
1
Calculate the remainder when 715 is divided by ((-197)/(-2))/((3/10)/(243/405)).
124
Let y be ((-2)/4)/(2/4). Let s(o) = 13*o**2 + 2*o + 1. Calculate the remainder when s(y) is divided by (-9798)/284*(-12)/207.
0
Let d be ((-41)/6)/((-2)/12). Suppose -4*a + d = -5*b, -3*b = 4*a + 14 + 17. Let c = b + 39. What is the remainder when 56 is divided by c?
26
Let u(y) = -y**2 + 16*y + 377. Let r be u(-13). Let z be 2 + -3 + -16 - 1. What is the remainder when ((-18)/(-4) - r) + (-9)/z is divided by 2?
1
Let t(k) = 19*k - 2. Let r(v) = v**3 - 232*v**2 + 1121*v + 3280. What is the remainder when r(227) is divided by t(2)?
30
Let k = 23146 + -23107. What is the remainder when 1180 is divided by k?
10
Suppose 2*n + 63 = 171. Let w = 230 - 228. Suppose -4*a = 3*b - 3*a - n, b - 18 = -w*a. What is the remainder when 87 is divided by b?
15
Let i = 809 - 803. Calculate the remainder when (-24)/10*(-45)/i is divided by 5.
3
What is the remainder when (330/(-15))/44 - (-1119)/2 is divided by 53?
29
Suppose 3*g + 2*d = 6, 0 = 4*g + 5*d + 1 - 9. Suppose 42 = -g*z + 4*