 2*g = t, g = 5*u - 560. What is the remainder when u is divided by 36?
4
Suppose 0 = -0*w - 5*w. Suppose -4*u + 5*s + 203 = w, -3*u - 44 = -4*u - s. Let k = -4 + 16. What is the remainder when u is divided by k?
11
Let m(o) = 209*o**2 + 52*o + 282. Calculate the remainder when m(-5) is divided by 16.
15
Let h = -54 - -67. Calculate the remainder when 3067 is divided by h.
12
Suppose -4*k - 5*y + 52 = -y, 4*k - 2*y - 64 = 0. What is the remainder when 7/(28/(-6))*-46 is divided by k?
9
Let p(x) = 5*x + 83. Calculate the remainder when 102 is divided by p(-5).
44
Let d(l) = 23*l**3 + 11*l**2 - 12*l - 16. Calculate the remainder when 324 is divided by d(2).
136
Suppose 5*j - 40 = -5*j. Let x be 1 + 812/j + 3. Suppose z = 5*g + 5*z - x, 0 = -3*g + 3*z + 135. What is the remainder when 127 is divided by g?
41
Calculate the remainder when (12/8 - 4)*(-13 + (-133)/(-35)) is divided by (1/1)/(1/5).
3
Let j = -179 + 190. Suppose 1936 = 21*v - 1949. Calculate the remainder when v is divided by j.
9
Let s = 42 + -39. Suppose s*g + 10 = -5. Calculate the remainder when 29 is divided by (-2)/g - (-156)/10.
13
Let n(z) be the second derivative of z**5/20 + 13*z**4/12 + 10*z**3/3 - 7*z**2/2 + 27*z - 1. What is the remainder when 53 is divided by n(-11)?
8
Suppose 18072 = 8*d + 243*d. Let o = 10 - 5. Suppose o*y = -4*l + 91, 4*l + 2*y = -2*y + 88. What is the remainder when d is divided by l?
15
Suppose 0 = 10*c + 77*c + 36*c - 1476. Suppose 524 = 4*a - 2*a. Calculate the remainder when a is divided by c.
10
Suppose -3789 = -405*n - 413*n + 809*n. Calculate the remainder when 851 is divided by n.
9
Suppose 11*i = 3*i - 17*i + 20475. Calculate the remainder when i is divided by 33.
27
Let o = 332 + -272. Suppose -62*q = -o*q - 80. What is the remainder when 199 is divided by q?
39
Let c = -349 + -15. Calculate the remainder when 61 is divided by c/(-18) + (-4)/18 - 1.
4
Let o = 15 - 8. Let k = 341 - 335. Suppose -k*q + 143 = o*q. Calculate the remainder when q is divided by 7.
4
Let j(i) = 30*i + i**2 + 5*i**3 - 4*i**3 - 12*i - 2 - 15*i. Calculate the remainder when 173 is divided by j(2).
13
Let z(f) be the first derivative of -5*f**3/6 - f**2 + 27*f + 24. Let n(o) be the first derivative of z(o). Calculate the remainder when 23 is divided by n(-2).
7
Suppose -i - 153 + 6 = -2*y, -i - 148 = -3*y. Let u = i - -207. What is the remainder when 309 is divided by u?
61
Suppose 2*h + 2225 = g, -4*g + 8960 = 270*h - 266*h. What is the remainder when g is divided by 171?
12
Let o(y) = 6*y**2 - 46*y - 89. Calculate the remainder when 4321 is divided by o(11).
129
Suppose -823 - 889 = 8*p. Let y = p + 238. Calculate the remainder when 310 is divided by y.
22
What is the remainder when 208 is divided by (1/((-14)/(-40)))/(17/(20825/35))?
8
Let o = -298 - -371. Let h be 262/12 + 3/18. Suppose -h*c - 11 = -23*c. What is the remainder when o is divided by c?
7
Let f(k) = -k**3 + 5. Let a be f(0). Suppose -l - 3 = -2*s - 0, -5*l + a*s = 0. Suppose -l*g - 177 = -6*g. Calculate the remainder when g is divided by 15.
14
Suppose 1071 = c + 16*c. Suppose -713 = -c*p + 40*p. What is the remainder when p is divided by 8?
7
Suppose -5*l - 4*a = -58, -40*l - 3*a = -35*l - 61. Let g be 2/((-2)/(-6)*1). What is the remainder when (g/12)/(1/50) is divided by l?
11
Let f = -21375 + 21463. Calculate the remainder when f is divided by ((-10)/6)/((-1)/6).
8
Suppose 16*h = 11*h + 1465. Let z = 307 - h. What is the remainder when 40 is divided by z?
12
Let c = -544 - -289. Suppose 0 = -0*u - 2*u + 126. What is the remainder when 167 is divided by (-1)/(c/u - -4)?
20
Let v be 4/8*28 - 3. Let i(n) = 11*n - 2 - 2*n**2 + 0*n**2 + n**3 - v*n**2. Calculate the remainder when i(13) is divided by 24.
21
Let a = -28 + 62. What is the remainder when 81 is divided by a?
13
Let y = 704 + -650. Let q = y - 41. What is the remainder when 98 is divided by q?
7
Let a(r) = 3*r - 1. Let u be a(1). Suppose 0 = u*o + 2*o - 236. Calculate the remainder when o is divided by 3/((-18)/(-28))*2142/833.
11
Let q(t) = -2*t - 17. Let z be q(-11). Suppose 2*s = 3*l + 23, s + z*l = 3*s - 33. What is the remainder when 63 is divided by ((-34)/s)/(1/(-2))?
12
Let k(b) = -32*b - 769. Suppose -6*v + 2185 = 5*c - v, 2*c + 4*v = 868. Calculate the remainder when c is divided by k(-26).
62
Let x(m) = -m**3 - 5*m**2 + 7*m + 10. Suppose 5 = 3*t - 10. Let j = -11 + t. What is the remainder when 10 is divided by x(j)?
2
Let o(v) = 150*v - 672. Calculate the remainder when 323 is divided by o(5).
11
Let z = 7338 - 1239. Calculate the remainder when z is divided by 20.
19
Let f be -1*(-1 - -2) - -41. Suppose s - 3*s = -f. Suppose -155 = -5*h - 2*g, -4*g = 4*h - 140 + 4. What is the remainder when h is divided by s?
9
Suppose 0 = -2*l + z + 2676, z + 4714 + 638 = 4*l. What is the remainder when l is divided by 17?
12
Suppose 5 = -m + 2*m. Let i = 1061 - 997. Suppose q = -m*b + 56, -3*b = -3*q + 68 + i. Calculate the remainder when 90 is divided by q.
44
Suppose 0 = 3*x + 3, 1427 = -20*o + 26*o - 5*x. Calculate the remainder when o is divided by 14.
13
Let z(g) = 84*g - 3167. Calculate the remainder when 7279 is divided by z(38).
4
Let r = -96 - -105. Suppose 198 = 3*b - 2*j, -7*b + r*b - 4*j - 140 = 0. What is the remainder when b is divided by 6?
4
Let t(f) = f**3 - 2*f**2 - 13*f - 1. Let p = 35 - 30. What is the remainder when 22 is divided by t(p)?
4
Suppose -4 = -4*n, 0 = 7*o - 4*o + 3*n - 72. Let g(x) = 4*x - 70. Let t be g(o). Suppose 16 = t*f - 20*f. What is the remainder when f is divided by 2?
0
Suppose 11*z - 37031 + 26041 = 46727. Calculate the remainder when z is divided by 10.
7
Suppose -194*x + 197*x - 45 = 0. Suppose x*u - 17 = 13*u + 5*m, -5*m = 3*u - 38. Calculate the remainder when 25 is divided by u.
3
Let b = -3212 - -3243. What is the remainder when b is divided by 12?
7
Let d be 2/(0 + 8/(-180)). Let p = 26 - d. What is the remainder when p is divided by 19?
14
Suppose -11*c - 2*c + 2404 + 859 = 0. What is the remainder when c is divided by 23?
21
Let p(t) = 7*t**2 - 264*t + 68. Calculate the remainder when p(38) is divided by 36.
0
Let n be (-5 + 222/12)/(3/(-4)). Let h be (-60)/n + 1/(-3). Suppose 2*k - 222 = -3*c, -2*c - k = -h*k - 148. What is the remainder when c is divided by 15?
14
Let l be 6/9 - (-4)/(-6). Suppose l = -0*r + 4*r - 256. What is the remainder when r is divided by -5*9/(-15) - (-22)/2?
8
Let i = -54594 - -107344. Calculate the remainder when i is divided by 42.
40
Let f be ((-11)/10 - 12/30)*-2. Suppose -6*z + 3*z - 5*g + f = 0, 3*g = 4*z - 4. What is the remainder when (z/(-3))/((-1)/177) is divided by 16?
11
Let q(v) = -v**3 + 5*v**2 - 9. Suppose 5*x = 2*s - 18, -s - 2*x + 8 = 2*s. Calculate the remainder when 8 is divided by q(s).
1
Let c(l) = 2*l + 3. Suppose -1090 - 974 = -20*m - 23*m. What is the remainder when m is divided by c(5)?
9
Let c(r) = 2*r**2 + 6*r + 19. Let n be c(-10). Let z = n + -64. Suppose 35 = -3*h + z. Calculate the remainder when 39 is divided by h.
19
Let u(o) = 2479*o + 17383. Let s(c) = 13*c**2 - c + 3. What is the remainder when s(3) is divided by u(-7)?
27
Let t = -126 + 132. Let c(h) = 13*h - 21. Let g be (-9)/(-4) + -2 - (-46)/8. What is the remainder when c(g) is divided by t?
3
Let m = -135 - -137. Let w(v) = 59 - 5*v - 11*v**2 - 25 + 42*v**m - 29. What is the remainder when w(2) is divided by 31?
26
Let f(b) = b**2 - 5*b + 21. Let v(s) be the first derivative of s**3 - 3*s**2 + 4*s - 5. Calculate the remainder when v(5) is divided by f(4).
15
Suppose 0 = p + 2*i - 206, i + 743 = -1406*p + 1410*p. Calculate the remainder when 2262 is divided by p.
6
Let j be (18/63)/(87/42 + -2). Suppose 0 = -0*o - j*o + v + 33, 2*v - 11 = -3*o. Suppose 4*l + o = 5*l. What is the remainder when 31 is divided by l?
3
Let u(x) be the third derivative of 3*x**4/8 - 41*x**3/6 - 135*x**2. What is the remainder when u(6) is divided by 3?
1
Let d = 4560 + -4249. What is the remainder when d is divided by 67?
43
Let u(z) = -3*z**2 - 50*z + 31. What is the remainder when 1828 is divided by u(-17)?
8
Let z(a) be the third derivative of -5*a**4/24 - 8*a**3/3 - 6*a**2. What is the remainder when 131 + -1 - (-15 + 13) is divided by z(-7)?
18
Suppose 0 = 16*z - 17*z - 13. Let p(b) =