se 14*a - 2*v = 13*a + 73, -4*v = -4*a + 284. What is the remainder when a is divided by 22?
3
Let f = -99 - -213. Calculate the remainder when f is divided by 24.
18
Let n(b) = -b**2 - 11*b - 20. What is the remainder when 46 is divided by n(-7)?
6
Let o(b) = 3*b + 15. Let a be -2*(-12)/(-8) - -11. Calculate the remainder when o(11) is divided by 15 + a/(-12)*3.
9
Let m(o) = 36*o + 75. What is the remainder when 44 is divided by m(-2)?
2
Suppose -5*h + a = 79, 0 = -3*a + 8 + 4. Let f = -7 - h. Calculate the remainder when f is divided by 5.
3
Suppose -s - 4*c = -50, -34 = -s - 2*c + 24. What is the remainder when s is divided by 20?
6
Suppose 0 = 106*t - 108*t + 66. Let x(a) = -11*a**3 + a**2 - 3*a - 2. Calculate the remainder when x(-2) is divided by t.
30
Let j = 79 - -152. Let z(q) = q - 140. Let w be z(0). Let o = j + w. Calculate the remainder when o is divided by 23.
22
Let i(l) = -2*l**3 + 25*l**2 - 17*l + 92. What is the remainder when i(12) is divided by 2?
0
Let s(l) = 411*l**3 + l**2 - 1. Let d be s(1). Let j = d + -277. What is the remainder when j is divided by 27?
26
Suppose -y - 3*d - 9 = 0, 3*y = -y - 3*d. Calculate the remainder when 118 is divided by 2 + -1 - (-42)/y.
13
Let l be (-141)/(-15) + (-4)/10. Suppose -l*j = j - 770. What is the remainder when j is divided by 20?
17
Let c = -18 + 21. Suppose -72 - 104 = -c*o + 2*l, 4*l - 68 = -o. What is the remainder when o is divided by 9?
6
Suppose -53*r - 3*j = -48*r - 1929, -2*j - 1552 = -4*r. Calculate the remainder when r is divided by 49.
44
Suppose 20 = 4*u, -3*n + 50 = -0*n + 4*u. Suppose 0 = 2*j - 14 + n. Suppose -j*o + 71 = 5*h, 3*o + 2*h - 17 = 62. What is the remainder when 45 is divided by o?
22
Let s = -4335 + 4479. Let y = 58 + -21. What is the remainder when s is divided by y?
33
Let r(s) = -s**3 - 7*s**2 - 7*s. Let v be r(-6). Suppose -3*q + 248 = -5*u, -4*q + 42 = -5*u - 282. Calculate the remainder when q is divided by 104/v*15/10.
24
Let t = 330 - 64. Calculate the remainder when t is divided by 41.
20
Let o(r) = r**2 - 6*r + 7. Suppose 7*n = 4*n - 3. Let h be 3 - (-4 + (-1 - n)). Calculate the remainder when 41 is divided by o(h).
13
Let y(h) = -5*h + 60. Calculate the remainder when 77 is divided by y(8).
17
Suppose 4*j + 0*s - 2*s = 8, 0 = 3*j - 2*s - 6. Suppose 2*v = -3*r + 31, -2*v - j*r - 6 = -38. What is the remainder when v is divided by 10?
7
Let v(o) = -o**2 - 10*o - 14. Let i be v(-8). Suppose 4*b + 62 = i*h, b = -2*b - 12. What is the remainder when h is divided by 3?
2
Let m = 71 - 55. Let i = -14 + m. Let t(n) = n**3 + 6*n**2 - 7*n + 2. What is the remainder when t(-7) is divided by i?
0
Let a(d) = -20*d + 88. Calculate the remainder when 9 is divided by a(4).
1
Suppose 55 + 83 = -2*z - 4*a, -2*z - 118 = -a. Let c = 74 + z. What is the remainder when 21 is divided by c?
8
Let w(t) = 9*t**2 - 3*t - 3. Suppose 4*b = 2*f + 40, 5 = -2*f - 3. Let k = b - 9. Calculate the remainder when 23 is divided by w(k).
5
Suppose -545 = -4*x - 109. Calculate the remainder when 1414 is divided by x.
106
Let b be 10/15 - 4/(-3). Suppose 0 = 5*y + b + 3. Let v = y - -3. What is the remainder when 3 is divided by v?
1
Let p(f) = 4*f - 4. Let u be p(3). Suppose 3*b = -5*o + u, 21 = -b + 5*o + 57. Let a = b + 3. Calculate the remainder when a is divided by 5.
4
Suppose 52 = 3*u + l, -l - 11 = u - 31. Let q be (1 - -1) + (-272)/(-4). Let b = q - -23. What is the remainder when b is divided by u?
13
Let q(k) be the second derivative of k**4/6 - 3*k**3/2 + 5*k**2/2 - k. Let i(h) = 12*h**2 + 143*h - 4. Calculate the remainder when q(6) is divided by i(-12).
7
Let m = -12 + 15. Suppose -38 = -5*j - 3*r, -3*j + m*r = -0*j - 42. What is the remainder when j is divided by (-96)/(-15) - 6/15?
4
Suppose 3 + 6 = 3*q. Suppose q*i = 280 - 61. Suppose -4*y + i = 5*w, -2*y - 2*y + 65 = -3*w. Calculate the remainder when 49 is divided by y.
15
Let w(n) = -14*n - 256. What is the remainder when 74 is divided by w(-21)?
36
Let p = -25 - -33. Let n(d) = 2*d - 6. What is the remainder when 38 is divided by n(p)?
8
Suppose -3*l = -2*b - 26, -6 = 4*l - 4*b - 34. Let i(v) = v**3 - 13*v**2 + 14*v + 2. What is the remainder when i(l) is divided by 14?
12
Suppose 0 = 3*u + 4*c + 4 + 10, u = 5*c + 27. Let y(v) be the second derivative of 5*v**3/6 - 2*v. What is the remainder when y(1) is divided by u?
1
Suppose 3*i + 12 = 4*i. Calculate the remainder when 81 is divided by i.
9
Let w = 499 - 324. What is the remainder when w is divided by 16?
15
Let y = -31 - -50. Let u(t) = 5*t + 18. Calculate the remainder when u(7) is divided by y.
15
Let q(g) = -g**2 + 9*g - 3. Let f be q(8). Suppose -9*r + f*r + 12 = 0. Suppose 3*m = r, 2*i + 0*m - 13 = -m. What is the remainder when i is divided by 5?
1
Let g = 80 + -60. Calculate the remainder when g is divided by 7.
6
Let j(c) be the second derivative of c**4/12 + 11*c**3/6 + 21*c**2/2 + 11*c. Calculate the remainder when 866/9 - 4/18 is divided by j(-12).
30
Let c be 1 + 4 - (1 + 0). What is the remainder when (-18)/c*30/(-3) is divided by 24?
21
Let y(t) = 17*t - 15. Let g be y(7). Suppose 2*x = -4, -j = x + 12 - g. What is the remainder when j is divided by 24?
22
Let j(h) = 12*h - 212. Calculate the remainder when 166 is divided by j(25).
78
Suppose 3*i = 2*m - 693, 0*m + i - 339 = -m. Calculate the remainder when m is divided by 23.
20
Suppose 0*h + 4*h - 92 = 0. What is the remainder when h is divided by 60/(2 + -5)*3/(-5)?
11
Let q(d) = 10*d**2 - 20. What is the remainder when q(-6) is divided by 43?
39
Let t(i) = i - 13. Let n be t(14). Suppose -g - 2*l = -8, 4*g - 5*l - n = 18. Let o = 24 - 3. What is the remainder when o is divided by g?
3
Let c(r) = r**2 + 30*r - 127. What is the remainder when 15 is divided by c(-34)?
6
Let j(i) = 2*i**2 - 21*i - 6. Calculate the remainder when (-156)/8*(-4)/6 is divided by j(11).
3
Suppose 35*x = 9*x + 3926. What is the remainder when x is divided by 58?
35
Let b be 106/(-12) + (-17)/102. Suppose 5*d + c + 36 = 4*c, -2*d = 4*c + 4. Let r = d - b. What is the remainder when r is divided by 2?
1
What is the remainder when 1/(0 - 2/(-356)) is divided by 30?
28
Suppose 0 = -u - 38*u + 7917. Calculate the remainder when u is divided by 71.
61
Suppose 2*v = 2*b + 10, 0 = -2*v - 3*b - 2 - 13. Suppose -2*h - 5 + 17 = v. What is the remainder when 14 is divided by h?
2
Let p = 23 - 9. Let f(h) = -h**2 - 19*h + 37. What is the remainder when f(-19) is divided by p?
9
Let o(w) = -29*w - 86. What is the remainder when o(-11) is divided by 13?
12
Suppose g + 2160 = 3067. Calculate the remainder when g is divided by 9.
7
Suppose 3*q - 504 = -3*m, 2*m = 4*m - 4*q - 330. Let g = -2202 + 2214. What is the remainder when m is divided by g?
11
Suppose -3*x + 4*y = -41, -381*x + 3 = -380*x + 4*y. Let d(p) = 5*p + 2. Calculate the remainder when d(6) is divided by x.
10
Let f(z) = 4*z + 27. Let w be f(-8). What is the remainder when 36 is divided by 21/(w/(20/(-4)))?
15
Let t = 9 - -13. Calculate the remainder when 62 is divided by t.
18
Let s = -690 + 789. Calculate the remainder when s is divided by 61.
38
Let y(u) = -3*u - 6. Suppose -5*f - l = -220, -12*l + 7*l + 25 = 0. What is the remainder when f is divided by y(-6)?
7
Suppose -710 + 850 = 7*f. What is the remainder when 150 is divided by f?
10
Suppose 3*t - 2569 = -8*i + 4*i, -4*i + 2573 = -t. What is the remainder when i is divided by 34?
31
Let s be ((-3)/(-6))/((-1)/(-8)). Suppose -40 = 2*c - s*c. Suppose 672 + 82 = 13*x. Calculate the remainder when x is divided by c.
18
Suppose 6*o = 7*o - 14. Suppose -7*a + o*a = 140. Calculate the remainder when 79 is divided by a.
19
Let o(w) = -12*w + 4*w + 10*w + 9*w - 4. Let p = 1 + 3. What is the remainder when o(p) is divided by 14?
12
Suppose 118 = 2*h - 4*w, 5*h + 2*w - 267 = -2*w. Calculate the remainder when 274 is divided by h.
54
Let v(g) = 48*g**2 - 13*g - 24. What is the remainder when v(-2) is divided by 39?
38
Let u(c) = -c**2 + 14*c - 9. Let d be u(13). Suppose -2*b + j + 79 = b, -d = j. What is the remainder when b is divided by 13?
12
Let c(o) = -152*o - 101. What is the remainder when c(-3) is divided by 20?
15
Suppose 27*d - 315 - 306 = 0. What is the remainder when 65 is divided by d?
19
Suppose 2*k - 87 