t b = j + 10. Calculate the remainder when 22 is divided by b.
4
Suppose 4*z + x = 35, 2*z - 27 = x - 8. Calculate the remainder when 11 is divided by z.
2
Let v = -302 + 361. Calculate the remainder when 173 is divided by v.
55
Suppose 4*d - 320 = -26*y + 22*y, -4 = 4*y. What is the remainder when 645 is divided by d?
78
Let v(f) = -f**3 - 5*f**2 + 5*f - 6. Let h be v(-5). Let u = h - -35. Calculate the remainder when u is divided by 3.
1
Let k(o) = 2*o**2 + 7*o - 8. Let u be k(-5). Suppose -u = 8*v - 55. What is the remainder when v is divided by 3?
0
Suppose 1242 = 22*z + 428. What is the remainder when 81 is divided by z?
7
Suppose 3 = 5*o + 2*f + 1, -4 = f. Suppose -o*z = 33 - 13. Let q = -4 - z. Calculate the remainder when q is divided by 3.
0
Let u be (-238)/(-70) - 2/5. Suppose u*t = -114 + 333. What is the remainder when t is divided by 27?
19
Suppose 17 = 8*o - 7. Suppose -r + 323 = o*n, -2*n + 343 = n + 5*r. Calculate the remainder when n is divided by 36.
34
Let o = 445 - 421. What is the remainder when 1222 is divided by o?
22
Let n = 22 - 17. Suppose n*s = -j - 5, 2*s - s - 13 = -3*j. Let g(q) = 4*q + 1. Calculate the remainder when g(3) is divided by j.
3
Suppose r - 3 - 25 = 0. Let j(b) be the second derivative of b**4/12 - 2*b**3/3 + 9*b**2/2 + 14*b. What is the remainder when j(-5) is divided by r?
26
Let p be (-12 - -2)*(-3)/6. Suppose 3*s = -2*x + 108, 2*s - p*x = -x + 56. Suppose -2*a + 21 = -4*j + j, 4 = -4*j. What is the remainder when s is divided by a?
7
Suppose -z - 5*t = z - 14, 5*z - 2*t = -23. Let g(k) = -4*k. Let f(o) = -5*o - 35. Calculate the remainder when f(-11) is divided by g(z).
8
Suppose 21 = -15*n + 6. What is the remainder when -5 - (-2 - (n + 35)) is divided by 9?
4
Let c = 240 + -186. Calculate the remainder when 107 is divided by c.
53
Let o(b) = -2 + 5 - b**2 + 0*b + 3*b. Let g be o(3). What is the remainder when 29 is divided by 15 - ((0 - 3) + g)?
14
Let h(f) = -2*f**3 - 2*f - 3. Calculate the remainder when 83 + 31/(279/(-180)) is divided by h(-2).
12
Let m(h) = 15*h**2 + 4*h - 7. Let n = -30 + 13. Let t(f) = -45*f**2 - 11*f + 20. Let s(q) = n*m(q) - 6*t(q). Calculate the remainder when s(2) is divided by 28.
27
Suppose 60 = o - 5*s, -2*s - 58 - 218 = -4*o. Calculate the remainder when 207 is divided by o.
67
Let h(d) = 2*d**2 + 34*d + 3. Let s be h(-17). Calculate the remainder when s/((-36)/(-314)) - (-9)/(-54) is divided by 10.
6
Suppose -3*a + 33 = -3*s, -5*a + 55 = 4*s - 0*s. Suppose -a + 8 = u. Let v(c) = -c**3 + 2*c - 7. Calculate the remainder when v(u) is divided by 3.
2
Let m be 570/110 - (-2)/(-11). What is the remainder when 33 is divided by m*((-9)/15 + 3)?
9
Let g be 45/18*(-2)/(-1). What is the remainder when 31 is divided by (11 - 1)/(2/g)?
6
Let t(c) be the second derivative of c**4/6 + c**3/3 - c**2 - 5*c. Suppose -4*g + 2 = -14. Calculate the remainder when t(2) is divided by g.
2
Suppose 5*y - 3*z = 151, -2*y + 20 = -5*z - 48. Let n(b) = 5*b - 29 + 4*b**2 + 13 + 20. Calculate the remainder when y is divided by n(-2).
9
Suppose 14490 = 54*f - 44*f. What is the remainder when f is divided by 22?
19
Let q be (-8)/2*(0 - 173/4). Suppose 4*f - 230 = -n - n, -2*n + q = 3*f. What is the remainder when f is divided by 12?
9
What is the remainder when 307 is divided by (13/4)/((-5)/(-40))?
21
Suppose 0 = 2*z - 2*h - 18, 3*z - 11 = -3*h + 22. What is the remainder when 55 is divided by z?
5
Suppose 2*s + 24 = 5*s. Suppose 4*q - s = 8. Suppose 0 = -5*i + 5*g + 45, 0 - 6 = 2*i + 4*g. Calculate the remainder when i is divided by q.
1
Let d = 28 + -13. Let j = 22 + -11. Suppose 4*v + 2*y - 30 = 0, -2*v + y + j - 2 = 0. Calculate the remainder when d is divided by v.
3
Let f = -30 - -160. Calculate the remainder when f is divided by 48.
34
Let g(o) = 4*o**2 + 11*o - 9. Let b(t) = 7*t**2 + 22*t - 17. Let x(i) = -3*b(i) + 5*g(i). What is the remainder when x(-6) is divided by (0/1)/(-2) + 52/4?
10
Let a = 113 + -103. Let q(x) = -x**3 + 13*x**2 - 17*x + 21. Calculate the remainder when q(a) is divided by 17.
15
Suppose 5*i + 60 = 3*i. Let o = i + 66. Calculate the remainder when o is divided by 24.
12
Suppose -22*h + 21*h = -103. Calculate the remainder when h is divided by 13.
12
Let f be 14/35 - (-2)/(-5). Suppose f = n + 3*n. Suppose 240 = 4*y - 4*v, n*v - 250 = -4*y - v. Calculate the remainder when y is divided by 16.
14
Let s be (-352)/(-20) + (3 - 52/20). Let a = -15 + s. What is the remainder when 4 is divided by a?
1
Let g(x) = x**3 - 7*x**2 + 5*x + 14. Calculate the remainder when 374 is divided by g(6).
6
Let q be 1 - (4 - (-1 - -4)). Calculate the remainder when (4 - q) + 13 + -9 is divided by 5.
3
Let h be 4/8 + (-2)/(-4). Suppose -h - 4 = -f. Let y(u) = 2*u**3 - 4*u**2 + 6*u - 3. Calculate the remainder when y(2) is divided by f.
4
Let j(w) = -2*w**3 - 12*w**2 + 10*w + 21. Let y be j(-6). Let a = y - -78. Calculate the remainder when 154 is divided by a.
37
Let b(l) = l**2 + 6*l - 257. Let c(r) = -17*r. Calculate the remainder when c(-4) is divided by b(14).
22
Let j(b) = -b**2 + 14*b - 9. Let t be j(13). Suppose 1 = -m, -3*m - 16 = -t*z - 5. Calculate the remainder when 4 is divided by z.
0
Calculate the remainder when 250 is divided by 1303/15 + (-60)/(-450).
76
Let y(f) = -f**3 + 16*f**2 - 9*f - 38. Suppose -7*o + 4*o + 81 = 0. Calculate the remainder when y(15) is divided by o.
25
Let a(s) = 6*s**2 + 14*s + 5. What is the remainder when a(-3) is divided by 5?
2
Suppose 0 = -r + 3*r - 40. Let z(h) = -h**3 - 6*h**2 - 11*h - 22. Calculate the remainder when r is divided by z(-5).
4
Let u = -10 - -18. Let p(h) = h**3 + 6*h**2 - 5*h - 15. What is the remainder when p(-6) is divided by u?
7
Suppose 8*d - 205 = -45. Let m be (-1116)/(-24)*d/6. Suppose -i = -3*h + m, -2*h = 3*i - 0*i - 85. What is the remainder when h is divided by 17?
16
Let v(y) = 23*y**2 - y. Let x = -1 + 0. Let l = 59 - 13. What is the remainder when l is divided by v(x)?
22
Suppose -49 = -3*l - 2*b, -14*b + 40 = 2*l - 9*b. Calculate the remainder when 40 is divided by l.
10
Suppose -5*f = -3*y + 4*y - 86, 2*y - f - 150 = 0. What is the remainder when y is divided by 21?
13
Let a = -867 + 375. What is the remainder when 113 is divided by 8/260*5 - a/13?
37
Let p = -149 - -168. What is the remainder when 60 is divided by p?
3
Let q(o) = o**2 + 16*o + 19. Let v be q(-15). Suppose -4*u + 1 = -v*y - 7, 4*y + 3*u = 20. Calculate the remainder when 81 is divided by y*(33/3 - 4).
11
Suppose 3*g + 4*v + 351 = 0, 3*g - 5*g - 234 = 5*v. Calculate the remainder when 187 is divided by g*2/(-6 + 0) + -1.
35
Let s = -71 + 74. Let p(q) = 2*q**2 - 2*q - 1. Let r be p(-1). Suppose -3*i = r - 27. Calculate the remainder when i is divided by s.
2
Let q be ((-12)/(-14))/((-3)/(-14)). Suppose q*k - 91 = 81. Suppose -5*j + 75 = -0*j. Calculate the remainder when k is divided by j.
13
Let r(n) = 4*n - 4. Suppose 3*m = -32 + 47. What is the remainder when 47 is divided by r(m)?
15
Suppose 3*j + 13 - 3 = -4*s, -j - 5*s + 4 = 0. Let u = j - -13. What is the remainder when 12 is divided by u?
5
Suppose 9*y = 3*t + 5*y - 79, -2*y + 34 = 2*t. Let r(d) = d**2 - 8*d + 15. Calculate the remainder when r(10) is divided by t.
14
Let g be 2/36*9 + 14/4. Let h = 16 + -10. Calculate the remainder when 23 is divided by h/g - 184/(-16).
10
Suppose 30 - 6 = 3*f. What is the remainder when 8 is divided by f?
0
Let i = 146 - 132. What is the remainder when 66 is divided by i?
10
Suppose 40*z = -83*z + 3321. What is the remainder when 701 is divided by z?
26
What is the remainder when (15*(-10)/(-250))/(3/255) is divided by 15?
6
Suppose 2*q + 192 = 4*j, 5*j + 4*q = 3*q + 254. Let r(v) = 8*v - 6. What is the remainder when j is divided by r(4)?
24
Let g = 256 - 133. What is the remainder when g is divided by 14?
11
Let n = -651 - -858. Suppose 2*c - 61 = 9. What is the remainder when n is divided by c?
32
Let b = 7 + -2. Suppose 4*o = -b*c + 96, 2*c = 2*o + o + 20. What is the remainder when c is divided by 7 + (1 - 0) + -3?
1
Suppose 0 = 3*q - 3*j - 228, 2*q = 3*q - 3*j - 74. Let d = -43 + q. What is the remainder when d is divided by 9?
7
Let d = -134 - -250. Calculate the remainder when d is divided by 52.
12
Suppose 3*z + 314 - 35 = 0. Let q = -63