lculate the remainder when (((-86)/(-10))/(-1))/(1/q) is divided by 23.
20
Let l = -14 - -17. Suppose 2*v + 2*m + 28 = 3*v, -76 = -l*v + 4*m. Let h = -12 + v. What is the remainder when 22 is divided by h?
6
Suppose 3*x = 964 + 167. Calculate the remainder when x is divided by 27.
26
Let m = -1548 + 1662. Calculate the remainder when m is divided by 23.
22
Let i = -386 + 713. Let a = i - 105. What is the remainder when a is divided by 15?
12
Suppose x = 2*x + 2*d - 8, -6 = 3*d. What is the remainder when 11 is divided by -1*3 + (x/(-6) - -8)?
2
Let c(t) = 22*t - 9. Suppose -24*r + 354 = -270. Calculate the remainder when c(5) is divided by r.
23
Suppose 2*c + 2*a = 32, 3*a + 1 = c - 3. What is the remainder when 63 is divided by c?
11
Suppose -227 = -5*p - 7. What is the remainder when 351 is divided by p?
43
Let q = -512 + 532. What is the remainder when 35 is divided by q?
15
Suppose 3*v - 5*c = 95 + 53, -5*c = -v + 56. What is the remainder when v is divided by 20?
6
Let a = 4229 - 4096. Let f(q) = -4*q + 3. What is the remainder when a is divided by f(-6)?
25
Let t = 33 + -23. Suppose t*m = 7*m + 66. Calculate the remainder when m is divided by 6.
4
Suppose 3*t - 2*t - 104 = 2*g, -2 = t. Calculate the remainder when 67 is divided by 2/6 - g/3.
13
Suppose 91 = 4*u + 47. Calculate the remainder when u is divided by 8.
3
Suppose 5*b - 4*m - 1163 = 0, -7*m - 702 = -3*b - 6*m. Calculate the remainder when b is divided by 4.
3
Let h = 507 - 444. What is the remainder when h is divided by 22?
19
Suppose -i + 7*j = 8*j - 430, 3*i - 1310 = 2*j. What is the remainder when i is divided by 29?
28
Let a = 61 + -63. What is the remainder when 37 is divided by a*(-1 + (-1)/(-2))*13?
11
Let a(u) = 16 + 7194*u - 7184*u + 36. Calculate the remainder when 31 is divided by a(-4).
7
Let j = 73 - 70. Suppose 0 = 2*m + 2*u - 62, m = -0*m + j*u + 35. Let n(r) = -r**2 + 125. Calculate the remainder when n(0) is divided by m.
29
Let j = -6 + -33. Calculate the remainder when 45 is divided by j*(32/(-12) + 2).
19
Let v = 328 + -287. Calculate the remainder when v is divided by 12.
5
Let m = 135 - 120. Suppose 8*q - m*q = -329. Suppose -2*g + 6*g + 4*s - 116 = 0, -4*g + 86 = -2*s. Calculate the remainder when q is divided by g.
23
Let u = 14 + -11. Suppose u = c - 24. What is the remainder when c is divided by 6?
3
Let b(z) = -z**3 - 2*z**2 + z - 6. Calculate the remainder when b(-5) is divided by ((1 - 2) + -2)*4235/(-363).
29
Let u(o) = -2*o**2 + 61*o - 20. Calculate the remainder when 119 is divided by u(30).
9
Let w(b) = b**3 + 3*b**2 - b. Let p(n) = -3*n - 19. Let o be p(-7). What is the remainder when w(o) is divided by 8?
2
Suppose 3*w + 21 = 2*t + 2*t, -5*t + 4*w + 25 = 0. Calculate the remainder when 49 is divided by t.
4
Suppose -52 = -2*q + 4*z, 179*q - 178*q + 2*z = 10. What is the remainder when q is divided by 6?
0
Let p(c) = -4*c + 38. What is the remainder when 25 is divided by p(6)?
11
Let x = -71 - -69. What is the remainder when (3 + -5 - 0) + (x - -98) is divided by 32?
30
Let i(l) = 109*l**2 + 35*l + 73. What is the remainder when i(-2) is divided by 88?
87
Suppose 0 = -2*q - 5*k + 28, -3*q + 4*q - k - 14 = 0. Let w = 115 - -111. What is the remainder when 63 is divided by (-4)/q + w/7?
31
Suppose 56 = -2*x + 3*x. Suppose 0 = 2*w + 3 + 5. What is the remainder when x is divided by (-2 - w)/(2/19)?
18
Let d = 564 + -419. What is the remainder when d is divided by 15?
10
Suppose -28 - 4 = -4*r. Let g = r - 3. Suppose -g*t - 35 - 9 = -y, -5*t = 4*y - 76. Calculate the remainder when y is divided by 9.
6
Let r = -6 + 8. Suppose f + r*f = 93. What is the remainder when f is divided by 11*2/2 - 3?
7
Let r = 33 - 35. Let f(x) = 16*x**2 + x. What is the remainder when f(r) is divided by 22?
18
Let c = 409 - 276. Calculate the remainder when c is divided by 37.
22
Suppose g = -2*t + 7*t - 120, 0 = 2*g. Suppose -t + 72 = 2*r. What is the remainder when r is divided by 13?
11
Let i(p) be the first derivative of 50*p**2 - 11*p - 2. Let j(r) = -50*r + 5. Let o(z) = 3*i(z) + 7*j(z). Calculate the remainder when o(-1) is divided by 18.
16
Let w = 71 + -48. Let x(t) = 8*t - 82. What is the remainder when w is divided by x(11)?
5
Let s(h) = -h**2 + 12*h - 2. Let a be 36/(-15) - -2 - 114/(-10). What is the remainder when s(a) is divided by 6?
3
Let w(h) = -2*h**3 + 47*h**2 + 76*h - 9. Calculate the remainder when 66 is divided by w(25).
2
Let q(b) = -2*b + 18. Let h = -21 - -48. Let x = -20 + h. Calculate the remainder when q(-8) is divided by x.
6
Let d(p) = -2*p + 67. What is the remainder when 67 is divided by d(24)?
10
Suppose -17*r = -15*r - 26. What is the remainder when 51 is divided by r?
12
Let q = 10 - 6. Suppose -q*l + 22 - 82 = 5*b, -3*l - 40 = 5*b. Let m = l + 32. What is the remainder when 32 is divided by m?
8
Let k(y) = y**2 - 19*y + 39. Let d be k(12). Let v = d - -65. Calculate the remainder when v is divided by 8.
4
Suppose 4*q = 4*s + q - 44, -4*q - 40 = -3*s. Let k(w) = -w**2 + 13*w - 18. Calculate the remainder when s is divided by k(11).
0
Let h = -8 - -63. Suppose -49 = -3*y + 4*d, -3 - 5 = -4*d. What is the remainder when h is divided by y?
17
Suppose -5*q - f = -65, -2*q - 13*f = -17*f - 4. Suppose 0 = 6*l - 3*l - 69. What is the remainder when l is divided by q?
11
Let h(g) = -g**3 - 4*g**2 + 13*g + 7. Let k be h(-6). Suppose 2*p = p + k. What is the remainder when 3 is divided by p?
0
Let f = 35 + 9. Calculate the remainder when 97 is divided by f.
9
Suppose 10*h - 343 = 127. What is the remainder when 140 is divided by h?
46
Suppose -2*h = 0, 3*k - 5*h = -218 + 785. Calculate the remainder when k is divided by 66.
57
Let v = 530 - 522. Let t be 2/9 + 248/18. Calculate the remainder when 215/7 - (-4)/t is divided by v.
7
Suppose -63*w = -82*w + 1311. Calculate the remainder when w is divided by 41.
28
Let z(m) = -m + 27. Let h = 104 + -113. Calculate the remainder when z(0) is divided by (-51)/h + 3/9.
3
Suppose -5*k = -5*s - 35, -3*s = -s + 4. Suppose b - 290 + 94 = -k*j, 3*b - 4*j - 569 = 0. Calculate the remainder when b is divided by 32.
31
Let p = 12 + -7. Suppose 0 = -5*j - w + 71, -2*j - 33 = -p*j - 3*w. Calculate the remainder when (25/3)/(1/3) is divided by j.
10
Let n(r) = -4*r + 63. Calculate the remainder when 188 is divided by n(0).
62
Let b = 139 - 115. What is the remainder when 37 is divided by b?
13
Suppose -3*a = -159 + 51. What is the remainder when 114 is divided by a?
6
Let v(b) = 7*b - 12. What is the remainder when 18 is divided by v(2)?
0
Let d = -13 - -15. Suppose -7*r = -2*f - 2*r - 103, 2*f + d*r + 82 = 0. Let b = f + 67. Calculate the remainder when b is divided by 8.
7
What is the remainder when ((-74)/3)/(2/(-3)) is divided by (7 + 3 - -29)*(-2)/(-6)?
11
Let o(m) = 2*m**3 + 2*m**2 - m + 1. Calculate the remainder when o(4) is divided by 18.
13
Suppose y + 5*c - 4 - 11 = 0, 2*y - 90 = 5*c. What is the remainder when 35 is divided by y?
0
Suppose -2*g - 4*x = -30, -12*g = -10*g + 2*x - 20. Calculate the remainder when 41 is divided by g.
1
Let z(v) = v**3 - 56*v**2 + 4*v - 122. What is the remainder when 234 is divided by z(56)?
30
Suppose -3*b + f = -b, 4*b + 3*f = 0. Suppose 2*o = b, 38 = 2*s - 0*o - 5*o. Calculate the remainder when s is divided by (-5)/5 - 12*-1.
8
Suppose c + 0*c = 56. Let w(p) = p**3 + p**2 + 21*p + 19. Calculate the remainder when c is divided by w(0).
18
Suppose 45*q - 5010 = 15*q. What is the remainder when q is divided by 21?
20
Suppose -47*i + 38*i = -1998. What is the remainder when i is divided by 32?
30
Let b(u) = 12*u + 31. Let r(h) = -8*h + 9. Let n be r(8). Let l = 96 + n. What is the remainder when l is divided by b(-2)?
6
What is the remainder when 194 is divided by (-51)/(-24) + 1 + (-24)/192?
2
Suppose 4*j + 3*u - 23 = 3*j, -5*j + 2*u + 64 = 0. Suppose 0 = 3*f - 583 + 556. What is the remainder when j is divided by f?
5
Let f = 1723 + -1709. What is the remainder when f is divided by (2/(-5))/((-2)/10)?
0
Suppose -4*g - 11 = q, -22 = 4*q - 2*q - g. Let v(w) = -w**2 - 12*w + 11. What is the remainder when 43 is divided by v(q)?
21
Suppose 4*u - 2*w = 3032, -w - 3792 = -5*u + 2*w. Suppose -5*t = -2*i + 378, -2*i + 5*t + u = 2*i. Calculate the remainder when i is divide