by 56.
23
Calculate the remainder when 431 is divided by (-12)/2 - (21 + -56).
25
Suppose -108 = 313*f - 319*f. Suppose -5*v + 198 = -3*v. Suppose -3*u - k + 100 + 50 = 0, 2*u + k - v = 0. What is the remainder when u is divided by f?
15
Let r(v) = v + 1. Let u(o) = 4*o + 23. Let x(w) = -3*r(w) + u(w). Calculate the remainder when 45 is divided by x(-8).
9
Suppose 7*t + 29 = 8*t - 4*q, -126 = -5*t + q. Calculate the remainder when 32 is divided by t.
7
Let q = -9 + 16. Suppose -q*u - 4*u = -231. Let y = 29 + -21. What is the remainder when u is divided by y?
5
What is the remainder when -8 + 6 + (0 - 2) + 83 is divided by 20?
19
Let q(d) = -225*d + 29. What is the remainder when q(-13) is divided by 15?
14
Let v(q) = 2*q**3 - 2*q**2 + 3. Let i be 0 + -4*(6/2 + -5). Suppose 0 = -2*s + 4*s + i, 56 = 4*x - 4*s. Calculate the remainder when v(3) is divided by x.
9
Suppose -2*m - 2*m = 2*a - 88, 2*a = m - 27. What is the remainder when 39 is divided by m?
16
Suppose -113*k = -111*k - 178. What is the remainder when k is divided by 12?
5
Let o(w) = -w**3 - 10*w**2 - 17*w + 3. Suppose -94*h + 89*h = 40. Let n = -17 - -36. Calculate the remainder when n is divided by o(h).
8
Suppose 121 = 8*s - 231. Suppose 4*p = 5*y - 64, -3*y - 2*p = -17 - 17. Calculate the remainder when s is divided by y.
8
Let i(k) = 8*k + 5 - 3*k**2 + 3*k**2 + k**2 - 2*k**2. Suppose 2*p + 5*f + 1 = -5, 0 = 3*p + f - 17. Calculate the remainder when 22 is divided by i(p).
10
Let m be -1 + 3/(12/16). What is the remainder when 296 is divided by m/((-4)/(-36) - 0)?
26
Suppose 0 = -i - 3*v + 1, 4*i = 6*v - v + 21. Suppose -7*m + 24 = -i*m. Calculate the remainder when (3/(-4) - -2)/((-23)/(-368)) is divided by m.
4
Let n = 40 + -28. Let w(t) = -3*t - 23. Let p(b) = 3*b + 24. Let r(j) = 6*p(j) + 5*w(j). Calculate the remainder when r(6) is divided by n.
11
Suppose -3*m - 107 = -2*z, -4*z - 5*m + 174 = -3*m. Suppose -4*x = -3*n + z, 3 - 2 = -x. Calculate the remainder when 133/3 - n/(-21) is divided by 12.
9
Suppose 3*a - 75 = -4*h - 0*h, -2*h + 5*a = -5. Calculate the remainder when (2/3)/((-10)/(-405)) is divided by h.
12
Let w = 17 + 194. Suppose w = 13*h + 42. Calculate the remainder when 46 is divided by h.
7
Let w = -201 + 218. What is the remainder when 65 is divided by w?
14
Suppose -10*t = -16*t - 12. Let m(o) = -2*o**3 - o**2 + o + 2. Calculate the remainder when 70 is divided by m(t).
10
What is the remainder when (-8)/(-60) + 688/15 is divided by 26?
20
Let h = 45 + -19. Calculate the remainder when h is divided by (-1 + 3/(-6))/(1/(-6)).
8
What is the remainder when (-2200 + -8)/(-6)*2 is divided by 20?
16
Suppose 3*j = s - 73 - 106, -2*j = 4*s - 660. What is the remainder when s is divided by 59?
49
Let k = -14 - -25. Let t = k + -19. Let b(s) = -s**3 - 8*s**2 - 3*s + 3. Calculate the remainder when 77 is divided by b(t).
23
Let o(l) = -37*l**3 + 2*l**2 - 4*l - 6. Calculate the remainder when 39 is divided by o(-1).
2
Let z be 3*(-3)/(27/21). Let b = -5 - z. Calculate the remainder when 24 is divided by 0 + (-52)/(-2*b).
11
Suppose 4*o = 2*f + 2 - 66, -f - 3*o + 52 = 0. Suppose f - 8 = i. Let j = -11529 - -11654. What is the remainder when j is divided by i?
29
Let q(t) = -2 + 3*t - 7*t + 2*t. Suppose 4*m + 0*m = 52. Calculate the remainder when m is divided by q(-5).
5
Suppose -15 = -11*v + 18. Suppose -2*i + 112 = -v*o, -6*o = 5*i - 5*o - 263. Calculate the remainder when i is divided by 11.
9
Let v(m) = 47*m**2 + 1. Let z be (-21)/7 - (-1 + -3). Let a be v(z). Calculate the remainder when -1*((-3 - a) + 2) is divided by 13.
10
Suppose 0 = -2*y + 101 + 29. Let q(v) = -2*v - 19. Let h be q(-9). What is the remainder when y is divided by (2 - h - (5 + -3)) + 21?
21
Let y = -126 + 165. What is the remainder when y is divided by 20?
19
Suppose 14*a = 20*a - 144. Calculate the remainder when 263 is divided by a.
23
Let z(b) = b**2 + 5*b + 7. Let d be z(6). Suppose 5*u + d = 3*a, -23 = -a - 0*a + 3*u. What is the remainder when a is divided by 9?
8
Calculate the remainder when 342 is divided by 13*(-10)/(-195)*18.
6
Let s be (1 + 2/(-3))*(-23 + 44). What is the remainder when (0 + -1)/(s/(-98)) is divided by 5?
4
Let z = 41 + 3. Calculate the remainder when 129 is divided by z.
41
Suppose -6*s + 4*s + 5*i + 33 = 0, -5*i - 5 = 0. Suppose -s*b + 420 = 14. Calculate the remainder when b is divided by 11.
7
Suppose 0 = 3*r - y - 14, -2*r + y + 6 = -3*y. Suppose -16 = 4*c - r*c. What is the remainder when 61 is divided by c?
13
Let o be 4 - (21/6)/(5/30). Let i(q) = -q + 24. Calculate the remainder when 162 is divided by i(o).
39
Let c be (-419)/(-4) + (39/12)/13. Suppose 21 = y + 4*p, 3*y - c = -2*y - 4*p. Let u = 34 - -28. Calculate the remainder when u is divided by y.
20
Calculate the remainder when 451 is divided by 14/49 - (3105/(-35) + -2).
87
Let x(q) = -743*q - 42. What is the remainder when x(-1) is divided by 13?
12
Let d(g) be the second derivative of g**4/12 + g**3/6 + 9*g**2/2 + 3*g. Calculate the remainder when 115 is divided by d(-6).
37
Suppose 4*b + 2*d = 12, -37 = -4*b + 5*d - 11. Suppose 0 = b*n + 77 + 115. What is the remainder when 47 is divided by (n/(-15) + -2)*10?
11
Let l = -57 + 76. Calculate the remainder when 1097 is divided by l.
14
Suppose -19*z - 221 = -810. Calculate the remainder when z is divided by 5.
1
Suppose 3*u - 2*u - 11 = -5*c, 2*c + 88 = 4*u. Let j(a) = -a**3 + 14*a**2 - 13*a + 5. Let y be j(13). Calculate the remainder when u is divided by 6/y*(9 + 1).
9
Let q(k) = -k + 2. Let c be q(-2). Let p(x) = x**3 - 2*x**2 - 6*x - 6. Let g be p(c). Calculate the remainder when g/(-4) + (-705)/(-10) is divided by 12.
10
Let k be (-2)/(-4) - 151/2. Let f = 23 - 17. Calculate the remainder when (k/(-12))/(f/24) is divided by 7.
4
Let y = -1 - -3. Calculate the remainder when y/(-7) + (-816)/(-14) is divided by 6/252*7 + 890/60.
13
Let t(g) = -257*g + 1557. What is the remainder when ((-36)/5)/(1/(-10)) is divided by t(6)?
12
Suppose -5*i - 5*u = -4*u - 32, -i + 14 = 4*u. Calculate the remainder when 33 is divided by i.
3
Let b(v) = -8*v + 146. Calculate the remainder when 45 is divided by b(17).
5
Let r(a) = a**2 - 3*a + 4. Suppose 3*c - 7*c + 4*u + 8 = 0, 5*c - 19 = 2*u. Calculate the remainder when -2 - (100/(-4) + -2) is divided by r(c).
11
Let d(i) = -i**2 + 2*i + 4. Suppose -24*p + 7 + 17 = 0. Calculate the remainder when p is divided by d(3).
0
What is the remainder when 24 is divided by 9*1 - ((-12)/3 - -6)?
3
Suppose -3*m - 12 = 0, 28 + 35 = v + 3*m. What is the remainder when v is divided by 7?
5
Let m(h) = -h**2 - 7*h - 6. Let x be m(-2). What is the remainder when -1*(x + -6) - -27 is divided by 15?
14
What is the remainder when 8*2/48 + 143/3 is divided by 13?
9
Let u(k) = k**3 - k**2 - k - 2. Let h(d) = -2*d**3 - 3*d**2 - 8*d + 5. What is the remainder when h(-2) is divided by u(3)?
12
Let b(a) = a**3 - 6*a**2 - 11*a + 30. Let j be b(7). Suppose 9*k - 583 = -j*k. Calculate the remainder when k is divided by 11.
9
Suppose 0 = 3*k - 25 - 35. What is the remainder when (-98)/(-5) + (-4)/k*3 is divided by 7?
5
Let f(x) = x**3 + 6*x**2 - x + 4. Suppose -21 + 434 = 77*t + 28. What is the remainder when f(-5) is divided by t?
4
Let o(d) = 4*d + 1 - d - 5*d**2 - 3*d**3 + 6*d**2 + 4*d**3. What is the remainder when 74 is divided by o(2)?
17
Suppose -3*v + 3*m - 180 = 0, -m = -6*m + 5. Let y = -36 - v. What is the remainder when 68 is divided by y?
22
Suppose 0 = 4*a + 4*q - 7*q - 40, 4*a + 3*q = 64. Calculate the remainder when 20 is divided by a.
7
Suppose 3*x = -3*w - w + 38, 2*x = 5*w - 59. Suppose -2*a - t + 309 = 0, -4*a + 159*t + 576 = 155*t. Calculate the remainder when a is divided by w.
8
Calculate the remainder when 150 is divided by (-7)/(35/30) - -25.
17
Let d = -15 + -3. Let z(c) = c**2 + 14*c + 2. Calculate the remainder when z(d) is divided by (2/2)/(1/19).
17
Let x(c) = -c**3 - 4*c**2 - c + 4. Let l be x(-4). Calculate the remainder when (1/(-2))/((-4)/l) is divided by (3/(-4) - -1)*4.
0
Let i(g) = 209*g**2 - 20*g - 20. Let f(b) = -70*b**2 + 7*b + 7. Let q(c) = 8*f(c) + 3*i(c). Calculate the remainder when q(-1) is divided by 24.
19
Suppose 72 = -0*o + 3*o. Suppose -v + 2*i + 2 = 0, -4*i - i - 33 = v. Let k = o + v. Calculat