r when -2 - (16/20 + 492/(-15)) is divided by y(4).
6
Suppose -5*j + 34 + 78 = 4*v, 4*v = -4*j + 116. What is the remainder when 108 is divided by v?
9
Suppose -3*n + 9 = 0, 3*l - 17*n - 63 = -20*n. What is the remainder when -2 + 2 + (8 - -53) is divided by l?
7
Suppose -4*t + 105 = 29. Calculate the remainder when 967 is divided by t.
17
Suppose -5*d + 139 = 4*h, -3*h - 15*d = -11*d - 103. What is the remainder when 172 is divided by h?
8
Suppose 3*i + 19*i = 9570. What is the remainder when i is divided by 23?
21
Let g = -415 + 440. Calculate the remainder when g is divided by 23.
2
Let n = 61 - 64. Let p(o) = -o**3 + o**2 + 5*o + 2. What is the remainder when 86 is divided by p(n)?
17
Let f = 76 - 50. Suppose 0 = r + 2*v + 10, 4*v - 4 = -4*r - 28. Let l = 13 - r. Calculate the remainder when f is divided by l.
11
Let r(b) = -4 + 1 + 3 + b - 5. What is the remainder when r(16) is divided by 3?
2
Suppose 102 - 17 = 5*k. Suppose 4*o + 7*g = 2*g + k, 0 = 2*o - 2*g - 22. Calculate the remainder when 15 is divided by o.
7
Suppose 8*u = 9*u - 10. Let g(l) = -3*l - 5 + l + 4 + 8. Calculate the remainder when g(-6) is divided by u.
9
Suppose t = -11 + 36. Let u be (-2)/(-2)*-3*25/15. What is the remainder when t is divided by 14*(15/(-6))/u?
4
Let z(u) = -u**3 + 36*u**2 - 177*u + 6. What is the remainder when z(30) is divided by 28?
12
Suppose 0 = 10*m - 6*m - 44. Calculate the remainder when 2/(-6) + (-260)/(-6) is divided by m.
10
Let x(t) = 4*t + 4. Let p(o) = 7*o + 7. Let l(h) = 6*p(h) - 11*x(h). What is the remainder when 53 is divided by l(-8)?
11
Let h(u) = 7*u - 40. Let f be h(6). Suppose 5*l + 4*i - 563 = 0, -f*i + 0*i + 559 = 5*l. What is the remainder when l is divided by 28?
27
Let q = -1363 + 1397. What is the remainder when 269 is divided by q?
31
Suppose 64*i = 25*i + 546. Calculate the remainder when 303 is divided by i.
9
What is the remainder when -6 + 288/((-12)/(-3)) is divided by 18?
12
Suppose 7*u - 5*h = 5*u + 33, -h = -2*u + 37. What is the remainder when 49 is divided by u?
11
Suppose 2*z = 4*z - 18. Suppose 0 = -0*l - 3*l - z. Let v = l - -5. What is the remainder when 3 is divided by v?
1
Let m(s) = -21*s + 17. Calculate the remainder when m(-6) is divided by 8.
7
Suppose 4*b = 58 - 10. Suppose -2*u - b = u. Let g(r) = -41*r - 7. Calculate the remainder when g(u) is divided by 40.
37
Let u = 27 + 0. Calculate the remainder when 497 is divided by u.
11
Suppose 5*y + 390 = 4*q, -7*q + 3*q + 408 = 4*y. Calculate the remainder when q is divided by 23.
8
Let y = -39 - -66. Suppose -4*h + 10 = -3*h + r, 5*h - 38 = -r. Calculate the remainder when y is divided by h.
6
What is the remainder when (5/2)/((-55)/(-1276)) is divided by 50?
8
Let z = 290 + -286. What is the remainder when 4 is divided by z?
0
Let n be (3 - 2)/((-2)/(-14)). Suppose 0*i - 17 = z - 4*i, 5*z = 3*i. Suppose 0 = -y + n + z. What is the remainder when 19 is divided by y?
9
Let w = 76 + -83. What is the remainder when 46 is divided by (0 + 1)/(w/(-98))?
4
Let w = -6 - -3. Suppose 3*s + 2 = -1. Calculate the remainder when 13 - (s + 7 + w) is divided by 6.
4
Let v(q) = q**3 + 6*q**2 + 3*q + 3. Suppose -5*k = 2*k - 434. Suppose -8*z + 138 = -k. What is the remainder when z is divided by v(-5)?
12
Let u(t) = -7 - 2*t**2 - 9*t - 2*t**2 + 3*t**2 + 2*t**2. Calculate the remainder when u(10) is divided by 1.
0
Suppose 11 + 3 = 7*x. What is the remainder when (4 - -14) + x/(-1) is divided by 5?
1
Let q be (-1)/(5 - 4) + 8. Calculate the remainder when (6 - q)/(1/(-55)) is divided by 20.
15
Let w = 6 - 3. Suppose -2*l - 5*u + 11 = -5, -5*l + w*u - 22 = 0. Calculate the remainder when 28 is divided by -5*(l + 0)*1.
8
Let i(c) = -c**2 + 8*c - 5. Let j be i(7). Suppose -4*k = -25*k + 63. Calculate the remainder when 1*7 + j/1 is divided by k.
0
Let c(x) = -x + 4. Let d be c(4). Suppose 0 = -4*j - d*j + 4*v + 652, 2*v + 487 = 3*j. Calculate the remainder when j is divided by 41.
38
Calculate the remainder when 86 is divided by (5 - 2)/((-30)/(-150)).
11
Let r(l) = -l**2 + 9*l - 8. Let k be r(8). Suppose -4*h = -k*h. Suppose h = 10*f - 11*f + 22. Calculate the remainder when f is divided by 9.
4
Let r = -16 - -13. Let j(n) = -8*n - 12. What is the remainder when 45 is divided by j(r)?
9
Let g = -372 + 387. What is the remainder when 18 is divided by g?
3
Let a = 13 - 19. Let l = a - -11. Let u = l + 4. Calculate the remainder when 17 is divided by u.
8
Let f(y) be the first derivative of y**2/2 + 2*y - 2. Let t(u) = -10*u - 7. What is the remainder when t(-3) is divided by f(3)?
3
Suppose 2*k = -3*r + 14, 3*r + r + 3*k - 20 = 0. Let h(p) = 4*p + 6*p - 1 - 9*p + p**r + 0*p**2. Calculate the remainder when 36 is divided by h(-5).
17
Suppose 0 = 8*i - 4*i - 60. Suppose -10 = -11*q + 16*q, 2*l = -4*q + 78. What is the remainder when l is divided by i?
13
Suppose 27 = -2*h + 3*b, -2*b - 3 = 2*h - 1. What is the remainder when h + 10 - 48/(-2) is divided by -2 - -19 - 0 - 0?
11
Calculate the remainder when -1 - (-9)/11 - (-2446)/22 is divided by 45.
21
Let c(x) = -x**3 + 3*x**2 + 6*x + 2. Let y(q) = q**2 - 7*q - 3. Let b be y(7). What is the remainder when c(b) is divided by 13?
12
Let x = 3 - 6. Let o(s) = -s**3 - 2*s**2 + 2*s - 3. Let f be o(x). Suppose f = 3*h - 2*h - 11. What is the remainder when 31 is divided by h?
9
Suppose -3*w + 255 = 78. Let a = -20 - -28. Let m(o) = o**3 - 8*o**2 + 3*o - 9. Calculate the remainder when w is divided by m(a).
14
Let p be (-3)/(-7) - 350/(-98). Calculate the remainder when 42 is divided by 1/(-3)*(-12)/4 + p.
2
Let x(j) = 2*j**2 + 1. Let r = 50 - 90. What is the remainder when x(-4) is divided by 6/10 - 696/r?
15
Let l(p) = -15*p + 21. Let c be l(2). Let n = 37 + c. What is the remainder when n is divided by 7?
0
Suppose 2*t = 5*s + 1563, 5*t = 2*s + 1566 + 2310. Calculate the remainder when t is divided by 65.
59
Let f(y) = -y**3 + 6*y**2 + 2*y - 1. Suppose 3*i + 45 - 13 = 2*l, -3*l = -5*i - 52. Let x = 15 + i. Calculate the remainder when f(6) is divided by x.
4
Let b = 156 + -153. Calculate the remainder when b/2 - (-386)/4 is divided by (-1 + 0)/((-3)/75).
23
Let z(d) = -d**3 + 5*d**2 - 4*d + 9. Let t be z(4). Suppose t*o - 4*o = -180. Let c = 54 + o. What is the remainder when 51 is divided by c?
15
Suppose -4*d = -34*d + 180. Let m(x) = -2*x + 0*x**2 + 0*x**2 - 3 + x**2. Calculate the remainder when 81 is divided by m(d).
18
Let p(y) = -68*y**3 - 8*y**2 - 7*y. What is the remainder when p(-1) is divided by 38?
29
Let y be (3/((-6)/(-19)))/((-17)/34). Let d = y - -204. Calculate the remainder when d is divided by 47.
44
Let z(c) = 5*c**2 - 5*c - 7. Calculate the remainder when z(5) is divided by 16.
13
Let w = -4 + 4. Suppose w*q + 5*q + 360 = 0. Let n = -7 - q. What is the remainder when n is divided by 17?
14
What is the remainder when 45 is divided by ((-238)/(-51))/((-3)/45*-5)?
3
Suppose a + 76 = 30. Let y = a + 56. What is the remainder when y is divided by 2?
0
Suppose -2*b + 230 = 102. Calculate the remainder when b is divided by 38.
26
Let v = 166 + -127. What is the remainder when v is divided by 21?
18
Let l be -1 + 0 - (0 + -1). Suppose 2*h = 3*h - 5. Suppose h*n - 2*n - 33 = l. What is the remainder when 41 is divided by n?
8
Let i = 32 - 32. Suppose d - 4*m + 0 = -7, -m + 4 = i. Calculate the remainder when 17 is divided by d.
8
Let y = 161 + -154. What is the remainder when 60 is divided by y?
4
What is the remainder when 168 is divided by -4*(-5)/(-20)*-23?
7
Suppose 3*b + 22 = 4*u, b + 2*b = 3*u - 15. Suppose -c = 4*k - 17, -3*c = -2*k - 4*c + 9. Let i = k - -8. What is the remainder when i is divided by u?
5
Suppose -9*t + 14*t + 56 = 4*p, -4*p - 4*t + 20 = 0. What is the remainder when 16 is divided by p/(1 + -1 + 1)?
7
Suppose -3*f + 36 = -f. Let n = 60 - f. Suppose 58*l = 44*l + 308. What is the remainder when n is divided by l?
20
Let f = -143 + 179. Calculate the remainder when 465 is divided by f.
33
Let a be 11 - -124 - 0/1. Suppose -5 - a = -10*o. What is the remainder when o is divided by 1/(-2)*(-20)/2?
4
Let j(x) = 2*x**2 + 8*x + 20. Calculate the remainder when 94 is divided by j(-3).
10
Suppose -4*r - 44 = -2*h + 68, 3*r - 246 = -4*h. Calculate the remainder when h is divided by 21.
18
Suppose 350 