
11
Suppose 681*u - 9846 + 1396 = 31*u. Let b = 242 + -11. Calculate the remainder when b is divided by u.
10
Calculate the remainder when 8495 is divided by (-1)/((-171)/(-76)) + 328/9 + 0.
35
Suppose -15*j - 68*j + 82917 = 0. Calculate the remainder when j is divided by 29.
13
Let n(f) = -f**3 - f**2 + 22*f + 12. Let m be n(-6). Let b = -54 + m. Calculate the remainder when (-277)/(-6) + (-9)/54 is divided by b.
4
Let c(h) = 27*h**2 + 4*h + 4. Let o(p) = -p**2 - 4*p - 27. Let f be o(-8). Let l = 57 + f. What is the remainder when c(l) is divided by 21?
20
Suppose -3*s + 17*s - 93*s = -237. What is the remainder when 2240 is divided by s?
2
Let x = 43 + 392. Let c = -264 + x. Calculate the remainder when c is divided by 35.
31
Suppose -2*r + 10 = 0, 4*h - 115 - 250 = -r. Suppose -7422 = -131*w + 30400 + 20866. What is the remainder when w is divided by h?
88
Suppose 39 = 5*f + 5*o - 16, 5*f = o + 61. Let c = 121 - 69. What is the remainder when c is divided by f?
4
Suppose 3*g + 10*p - 13*p - 177 = 0, -5*g - p = -313. What is the remainder when 208 is divided by g?
22
What is the remainder when 560/(-490) - (-15687)/49 is divided by 55?
44
Let m(q) = q**2 - 155*q - 2515. What is the remainder when 1540 is divided by m(-16)?
214
Suppose 0 = 5*q + 6 - 26. Suppose 0 = 3*i - 2*b - 628, -i - 2*b + 3*b + 211 = 0. What is the remainder when (-6)/(-63) + i/42 is divided by q?
1
Suppose -f = -6*f - 700. Let n = -135 - f. Suppose -r + 121 = n*x, 2*x + 6*r = 4*r + 50. What is the remainder when x is divided by 17?
7
Let x(y) = 4*y**2 + 303*y + 261. What is the remainder when 144 is divided by x(-75)?
0
Suppose -9*o + 5*o + 2*n + 734 = 0, -6*o - n = -1113. What is the remainder when o is divided by 72?
41
Let b(a) = 2*a**2 + 10*a - 21. Calculate the remainder when 3258 is divided by b(4).
45
Let j = 1967 + -1933. What is the remainder when 3841 is divided by j?
33
Let r(i) = 44*i + 1420. Calculate the remainder when 835 is divided by r(-26).
7
Suppose 3*l - 9*l - 42 = 0. Let y be 391/6 + l/42. Let m = 91 - y. What is the remainder when m is divided by 15?
11
Calculate the remainder when (-726)/((-2)/((-13)/(-13))) is divided by 302.
61
Suppose 75*u - 76*u = 0. Suppose -46*t + 61*t - 360 = u. What is the remainder when 140 is divided by t?
20
Let x be 45/6 - (-2)/(-4). Let y(i) = 15*i**2 - 8*i - 18. Let k be y(6). What is the remainder when 39 is divided by (-2)/x - (k/14)/(-3)?
6
Let w = 263 - 250. Suppose 0 = -35*b + w*b + 242. What is the remainder when 22 is divided by b?
0
Let t be 26/4 - (-7)/(-14). Suppose t*a = 5*a + 39. Calculate the remainder when a is divided by 11.
6
Suppose 19*d - 116 - 216 = 314. What is the remainder when 1661 is divided by d?
29
Let m(w) = 12*w + 42. Let d(o) = 11*o + 42. Let l(v) = -6*d(v) + 5*m(v). What is the remainder when 123 is divided by l(-10)?
15
Suppose 9*y + 3*s - 20 = 13*y, -5*y - 30 = -5*s. Let g(o) = 2*o**3 - 5*o**2 - 4*o. Calculate the remainder when g(4) is divided by ((-1)/2*-1)/(y/(-52)).
6
Let m be (-3663)/24 - (-39)/(-104). Let r = m - -215. Calculate the remainder when r is divided by 33.
29
Let u(f) = 2*f + 36. Let h(g) be the first derivative of 3*g**2/2 + 72*g - 12. Let r(d) = 3*h(d) - 7*u(d). Calculate the remainder when 7 is divided by r(-8).
3
Let z(j) = j**2 + 11*j + 20. Let d be z(-2). Suppose -h = 4, -9*f + 4*f + 572 = d*h. Calculate the remainder when f is divided by 13.
12
Let q(d) = -7*d + 17. Let f be q(10). Let c = -37 - f. Calculate the remainder when 111 is divided by c.
15
Let l = 12 + -15. What is the remainder when -6*(l - -2) + 45 is divided by 24?
3
Suppose 49 = 5*f - 21. Let z(w) = -25*w**3 + 122*w**2 - 120*w**2 - 2 + 4 + 4*w. What is the remainder when z(-1) is divided by f?
11
Let g be (-1 + 0)*(-232)/4. Let s(r) = -r**3 + 5*r**2 - 5*r - 5. Let x be s(5). Let a = x + g. What is the remainder when a is divided by 8?
4
Let l(i) = 80*i**2 + 2*i. Let c be l(1). Suppose -3*a - b + 7 = -81, c = 3*a + 4*b. Calculate the remainder when 389 is divided by a.
29
Suppose 0 = 3*v + c - 232, -68*v + c - 80 = -69*v. What is the remainder when v is divided by 8*((1 - 0) + 1)?
12
Suppose u + 2*u - 30 = 0. Let s be (u/4)/1*(-6)/(-5). Suppose s*i - 54 = -0. What is the remainder when i is divided by 4?
2
Suppose 0 = -13*b - 48*b + 196 + 170. Calculate the remainder when 41 + 1 + -4 - -1 is divided by b.
3
Suppose -2*f = -5*s + 71, 31 = s + 5*f + 6. Suppose -686 = -29*t - 34 + 1001. What is the remainder when t is divided by s?
12
Suppose 2 = 14*t + 44. Let a(h) = h**3 + 3*h**2 - 8*h - 6. Calculate the remainder when 68 is divided by a(t).
14
Suppose -112*h + 31*h + 245916 = 0. What is the remainder when h is divided by 27?
12
Suppose -u - 16 = -4*u + 5*p, u + p = 0. Suppose -4*k + 5*k = -u. What is the remainder when 31 is divided by ((-12)/(-15))/(k/(-40))?
15
Let c(b) = -369*b + 3339. What is the remainder when 106 is divided by c(9)?
16
Let f(w) = w**3 - 90*w**2 + 352*w - 194. What is the remainder when f(86) is divided by 7?
4
Let t be ((-27)/(-108))/(2/5448). Let i = -450 + t. Calculate the remainder when i is divided by 39.
36
Let s(o) be the third derivative of 5/24*o**4 + 27*o**2 + 0*o + 5/6*o**3 + 0. Calculate the remainder when 118 is divided by s(5).
28
Let v = -108 + 111. Suppose -20 = -v*o - 4*b - 0, 0 = o - b - 16. Calculate the remainder when 98 is divided by o.
2
Let i(p) = -p**2 + 70*p - 441. Calculate the remainder when i(27) is divided by 217.
69
Let f be 2/(-5)*-10*-2. Calculate the remainder when 60 is divided by ((12 + f)/(-4))/(2/(-64)).
28
Suppose 32 = 17*u - 19. Suppose 2*k - 43 = 5*l, -u*k - 4*l = 2*k - 190. Calculate the remainder when 126 is divided by k.
24
Let k = 30 - 16. What is the remainder when ((-6)/15)/((-290)/21025) is divided by 4/k + 340/35?
9
Suppose -12*c = -13*c - 46. Let a = c - -50. Suppose -88 - 8 = -a*r. What is the remainder when 45 is divided by r?
21
What is the remainder when 11196 is divided by (25/(-5) - -11) + (-52 - -146)?
96
Let g be (-4)/14 - 33/7. Let y = -3 - g. Let q = 55244 - 55242. Calculate the remainder when y is divided by q.
0
Suppose -1238 = -5*b - 25*b + 4402. What is the remainder when 1405 is divided by b?
89
Let u = -174574 - -174587. Suppose 4*h + x = -7, 4*x - 25 = 5*h + 10. What is the remainder when u is divided by (-13)/(-2) + h/(-6)?
6
Suppose 0 = 5*x - 40 + 10. Suppose x*i + 0 - 156 = 0. Calculate the remainder when i is divided by 14.
12
Suppose -j = -0*j - 304. Suppose -v - j = -3*v. Suppose 3*r = q - 27, -r + 0*r = -4*q + v. Calculate the remainder when q is divided by 10.
9
Suppose -98*x + 76 = -94*x. Suppose -6662 = -x*p + 1280. What is the remainder when p is divided by 15?
13
Suppose 4*n + s - 142 = 0, 7*n = 12*n - 2*s - 158. Suppose 0 = 2*c + c - 201. Calculate the remainder when c is divided by n.
33
Let x = -57 - -67. Suppose -x*q = -q - 45. Suppose -o - q*h = -70, 3*o - 443 = 4*h - 157. Calculate the remainder when o is divided by 23.
21
Suppose -3*x = -2*j - 44, -5*x - 18*j + 19*j = -78. What is the remainder when 3150 is divided by x?
14
Suppose -5*c = -5*z + 580, -3*c + 361 + 211 = 5*z. Calculate the remainder when 572 is divided by z.
112
Let l be 6 - 1/(-1 + 2). Suppose 0 = -l*m + 2*a - 33 + 11, 5*m + 15 = -5*a. Calculate the remainder when 2/m - 5125/(-50) is divided by 35.
32
Let p(i) = 333*i - 955. What is the remainder when 201 is divided by p(3)?
25
Suppose 5*t + v = 6*t - 132, -4*v = -3*t + 401. Calculate the remainder when 6093 is divided by t.
124
Suppose -z + 0 = 2, 3*u + z - 661 = 0. Let x = -209 + u. What is the remainder when 45 is divided by x?
9
Let c be (-126)/35 + 4 - (-24)/(-10). Let o be 9 + 1/(c/4). Suppose g = 2*g - o. Calculate the remainder when 48 is divided by g.
6
Let o be (1 + 4)/(10/30). Suppose 4*f - f = 4*j - o, -f = -j + 3. Suppose 94 = 8*b + j. Calculate the remainder when 32 is divided by b.
10
Suppose -5*n = -2*o + 43, 0 = o - 0*o - 2*n - 22. Suppose -s - o = 2*s. Let q = s - -25. Calculate the remainder when q is divided by 5.
2
Suppose -f = 3*o - 2*o - 23, 0 = -4*f - 5*o + 97. Let w(x) = -x**2 + 19*x + 5. Calculate the remainder when w(f) is divided by 4.
3
Let m be (-2)/(-5) - -21*1/(-15). Let h be 6/3 + -32 + 2 + m. Let v = h + 37. What is the remainder when 10 is