Let q(d) = d**2 - 11*d + 35. Let r be q(6). Suppose 2*t - t + 274 = 4*j, r*j - 2*t - 344 = 0. What is the remainder when j is divided by 12?
8
Let z = 2 + 41. Let d = z - 33. What is the remainder when d is divided by (8/6)/((-2)/(-6))?
2
Calculate the remainder when 2/((-12)/(-1170)) + (-21)/(-3) is divided by 66.
4
Suppose 5*v - 6 = 4. Suppose -x + v*i = -119, 2*x = -3*x - 2*i + 547. Suppose 28 = 3*m - 2*m. What is the remainder when x is divided by m?
27
Let t(m) = m**3 + 5*m**2 + 2*m - 3. Let j(d) = -d**3 + 4*d + 2. Calculate the remainder when t(-4) is divided by j(-2).
1
Suppose -2*j + 5*l = -81, -l = -2*j + 7*j - 162. Suppose 2*o + 17*q = 21*q + 50, 0 = 4*q + 8. Calculate the remainder when j is divided by o.
12
Let f = -9 - -15. Let a(z) = -z**2 + 1. Let o(c) = -2*c**2 - 8*c + 20. Let i(r) = -3*a(r) + o(r). Calculate the remainder when i(7) is divided by f.
4
Suppose -t = 4*x - 22 - 1, 0 = t - 2*x + 7. Suppose t*r - 242 = -5*d, 0 = r - 4*r - 4*d + 238. Calculate the remainder when r is divided by 19.
17
Suppose -28*c + 1159 = -9*c. What is the remainder when 242 is divided by c?
59
What is the remainder when 219 - 26 - (4/(-1))/2 is divided by 28?
27
Suppose 33420 = 17*v + 43*v. Calculate the remainder when v is divided by 35.
32
Let n(t) = 15*t + 17. What is the remainder when 156 is divided by n(2)?
15
Let o = 321 + -265. What is the remainder when 273 is divided by o?
49
Suppose 555*x + 4 = 556*x. What is the remainder when 92 is divided by x?
0
Let n = -4964 - -4979. Let a(l) = 6*l**2 - 3*l + 3. Calculate the remainder when a(4) is divided by n.
12
Suppose 0*v + 5*w + 140 = 5*v, 3*v - 85 = 2*w. Suppose 2*b = -z + 2*z - 38, z - v = -b. Suppose 36 = -4*s + 104. What is the remainder when z is divided by s?
15
Suppose 0 = 7*h - 2*h - 235. What is the remainder when h is divided by (-2)/(-4)*-13*(-4 + 2)?
8
Suppose -3*v - 18 = 2*g + 66, v = 5*g + 193. Let x = -9 - g. Calculate the remainder when x is divided by 8.
6
Let w(z) = -z**2 + 8*z - 22. Let d be w(6). Calculate the remainder when (-1488)/(-60) - 2/d is divided by 5.
0
Let o = 633 - 614. What is the remainder when 38 is divided by o?
0
Suppose 1781 = 3*h + 1139. Calculate the remainder when h is divided by 51.
10
Let f(g) = -g - 3. Let u be f(-1). What is the remainder when (u + 8)/(3/46) is divided by 32?
28
Calculate the remainder when 627/9 + (-10)/15 is divided by 13.
4
Let p = -8 + -8. Let q be p/3*3/(-2). What is the remainder when (12/q)/((-2)/(-44)) is divided by 18?
15
Let n(o) = o + 8. Let b be 3/2*(-84)/18. Let r be n(b). What is the remainder when 20 is divided by 11*3*r/3?
9
What is the remainder when 144 is divided by (14 - 18)*75/(-6)?
44
Let q(m) = 26*m + 79. Calculate the remainder when 13 is divided by q(-3).
0
Suppose -3*u + 0*u - 12 = 0, -u - 308 = -4*d. Suppose 0*r = -3*r + 2*f + 73, 3*r + f = d. Calculate the remainder when r is divided by 1/(-3) + (-240)/(-18).
12
Let r be (-4)/6*(-18)/3. Suppose -y = r*y - 5. What is the remainder when 1/(-2 - -1)*-2 is divided by y?
0
Let x = 220 - 186. Calculate the remainder when x is divided by (-12)/(-5)*(7 + -2).
10
Let z(l) = -l**3 - 12*l**2 + 17*l + 9. Calculate the remainder when z(-14) is divided by 15.
13
Let w(k) = -5*k - 17. Let f be w(-7). Let d be 752/f + 18/81. What is the remainder when 83 is divided by d/8*(-112)/(-21)?
27
Suppose 4*u - 4*y - 56 = 0, -18 = -u + 2*y - 5. Let c = 1475 - 1446. Calculate the remainder when c is divided by u.
14
Suppose 6*j = 3*j - 1392. Let i be j/(-26) + (-10)/(-65). Suppose -i = -3*n + 3. What is the remainder when 25 is divided by n?
4
Suppose 28 = 2*x + 4*k, -3 = 2*x - 2*k - 25. Let t(s) = s + 5. Let i = -46 - -46. Calculate the remainder when x is divided by t(i).
2
Let z = -16 + 18. Suppose -z*g + 3 = 3*i, 3*g + i + 21 = 6*g. What is the remainder when g is divided by 6?
0
Let v(n) be the third derivative of n**6/120 - n**5/60 - n**4/8 + n**3/6 - 5*n**2. What is the remainder when v(4) is divided by 13?
11
Let d(o) = 4*o + 159. What is the remainder when 309 is divided by d(-32)?
30
Suppose -4*i = v - 31, 3*i = -2*v + 45 + 12. Suppose 38 = 5*l - v. Calculate the remainder when 166 is divided by l.
10
Calculate the remainder when 240 is divided by 8*((-1080)/64)/(-5).
24
Let w(o) = o**3 - 8*o**2 + 18*o - 7. Calculate the remainder when w(6) is divided by 5.
4
Let c(f) = -f**3 - 6*f**2 + 5*f - 12. Let n be c(-7). Suppose -3*m = 5*u + n*m - 25, -5*u + 4 = -2*m. What is the remainder when 8 is divided by u?
0
Let s = 21 + 27. Let b = s - 24. Let g(q) = 2*q**2 + 57*q + 287. Calculate the remainder when g(-24) is divided by b.
23
Suppose 140 = 6*w + 44. Suppose -3*m = -0*m + 12, 0 = -4*h - 2*m + w. Calculate the remainder when 45 is divided by 5/15 + 70/h.
9
Suppose -f + 2*f - 50 = 0. Let s = 38665 - 38638. What is the remainder when f is divided by s?
23
Let f(v) = -v. Let i(z) = -4*z + 10. Let n(s) = -3*f(s) + i(s). Let b(l) = l**3 + 10*l**2 + 7*l + 13. Calculate the remainder when b(-9) is divided by n(-6).
15
Suppose 0 = 3*j - 2*t - 40, -4*t - 12 + 30 = j. Let d = j - -12. What is the remainder when d is divided by 15 - (0 - 1*-1)?
12
Suppose -111 = -8*r + 169. What is the remainder when r is divided by (14/21)/(3/81)?
17
Let s(t) = t**2 + 39*t + 230. Let x = 73 + -43. Let v = x + -19. What is the remainder when v is divided by s(-32)?
5
Suppose 10*z = -41 + 361. Suppose -5*y = 3*b - 7*b + 14, 10 = 5*y. What is the remainder when z is divided by b?
2
Let h(z) = -93*z - 519. Calculate the remainder when h(-7) is divided by 1.
0
Let m(z) = -z**3 - 8*z**2 - 7*z + 15. Let x = 2 + -9. What is the remainder when m(x) is divided by 9?
6
Let a(q) = -q**3 - 5*q**2 + 2*q + 6. Let c be a(-5). Let p = -18 + c. Calculate the remainder when p*3/(-24)*12 is divided by 18.
15
Suppose 0 = 4*q - 2*q - 4. Suppose 2*d - 5 = d. Calculate the remainder when d is divided by q.
1
Let z(b) = 3*b**2 - 205*b + 89. Suppose -3*d = 5*x - 2*d - 51, -3*d = 2*x - 10. What is the remainder when z(68) is divided by x?
10
Suppose 4*i = 221 + 3. What is the remainder when i is divided by 27?
2
Let l(d) = -5*d**2 - 72*d - 25. Suppose 42 = -5*z + 127. What is the remainder when z is divided by l(-14)?
2
Suppose 5*y - 3*f = 2*f + 70, 2*y + 5*f - 21 = 0. Suppose -1 - 11 = 4*l - r, -30 = 5*l - 5*r. What is the remainder when l + -1 + 93/1 is divided by y?
12
Suppose 0 = 2*v - 32 - 6. Let c = -42 - -42. Suppose 5*g = 4*r - 150, 5*g + 45 = r - c*g. Calculate the remainder when r is divided by v.
16
Let u = -47 - -81. Let r = -30 + u. Calculate the remainder when (39/6)/(1/2) is divided by r.
1
Let n = -3 + 11. Let z be -2*6*18/(-4). Suppose 5*p - z = 16. What is the remainder when p is divided by n?
6
Let m = 23 - 23. Calculate the remainder when 37 is divided by 13 - (m + (4 - 2)).
4
Let l(j) = -j**3 - j**2 + j - 2. Let w be l(-2). Let r(q) = q + 1. Calculate the remainder when 28 + (2 - w) + 2 is divided by r(10).
10
Let n(q) = q**3 + 20*q**2 - 5*q - 1. Let v be n(-20). Calculate the remainder when 21 is divided by (-1 - 2) + v/11.
3
Calculate the remainder when 272 is divided by 43 - (4/8)/(5/(-30)).
42
Suppose -3*y = -5*n - 55 + 7, 0 = 2*y - 4*n - 32. What is the remainder when 83 is divided by y?
3
Suppose c = -2, 0 = -3*y - 2*c - 7. Let z(p) = 14*p**2 - p - 2. Let f be z(y). Let x = f + -8. Calculate the remainder when 12 is divided by x.
2
Let y = -615 - -622. Calculate the remainder when 115 is divided by y.
3
Suppose -28*a + 4554 = 5*a. Calculate the remainder when a is divided by 10.
8
Let o(w) = 100*w + 418. What is the remainder when 142 is divided by o(-4)?
16
Let h(d) = d**3 + 3*d**2 - 1. Suppose -4*m - t + 3 = 0, 5*m + 2*t = 3*t + 6. Let s be 2/(-4)*2*m. Calculate the remainder when 2 is divided by h(s).
0
Suppose -20 = -5*o - 4*p, 0 = -3*o + 4*p + 21 - 9. Suppose o*c + 642 = 7*c. Calculate the remainder when c is divided by 36.
34
Suppose -66*j = -52*j - 168. Calculate the remainder when 263 is divided by j.
11
Let c(q) = q - 1. Let r(v) = -3*v - 8. Let n(m) = 6*c(m) + r(m). Calculate the remainder when n(10) is divided by 6.
4
Suppose -2*h - 46 + 120 = 0. Suppose -i = 5*s - 3*i + 92, -i + h = -2*s. Let a = 10 - s. What is the remainder when 53 is divided by a?
25
Let z(k) = -5*k - 11 - 25*k**