. Suppose -29*x + 28 = -y*x. Let l = 40 + -23. Calculate the remainder when x is divided by l.
11
Let l(d) = 7*d**2 + d + 52. What is the remainder when l(-5) is divided by 75?
72
Let g = 4 - 1. Let b(v) = -82*v**2 + 3*v + 3. Let o be b(-1). Let h = -77 - o. Calculate the remainder when h is divided by g.
2
Let l = -760 - -762. What is the remainder when ((-12)/(-14))/(2/14) is divided by l?
0
Suppose 0 = -73*g + 56*g + 1479. Calculate the remainder when 179 is divided by g.
5
Let p = 23 - -21. Let c(m) = 172*m**2 - 48*m - 45. Calculate the remainder when c(-1) is divided by p.
43
Suppose -5*p + 95 = 4*m - 0*p, -4*m + 5*p = -65. Let y be (m - 0)/4 - 3. What is the remainder when (0 - (y + 1))*-3 is divided by 6?
3
Suppose 4 + 11 = 5*x. Let j be -11 + x + (-2 - 3). Let o = j - -29. Calculate the remainder when o is divided by 6.
4
Suppose 20*u + 6 = 26*u. Calculate the remainder when 7 is divided by u.
0
What is the remainder when 1209 is divided by 1146/11 + 30/(-165) - -6?
109
Let j(k) = 20*k - 117. Calculate the remainder when 192 is divided by j(6).
0
Suppose v - 6*v = -w - 170, -4*v + 122 = 2*w. Suppose -7*m + v = -4*m. What is the remainder when 32 is divided by m?
10
Let z(t) = 11 + 8 - 21 - t**3 - 5*t**2 + 7 + 20*t. What is the remainder when z(-8) is divided by 9?
1
Suppose 14*f = 11837 - 9919. Calculate the remainder when f is divided by (17 - 1)*5/4.
17
Let r = -13 + 13. Suppose 5*g - u - 201 = r, -3*g - 2*u = 3*u - 115. What is the remainder when 119 is divided by g?
39
Let p = 3 + -1. Suppose p*b + 3*b = 15. Calculate the remainder when b is divided by ((-8)/24)/((-2)/6).
0
What is the remainder when -3*(-6)/27*(233 + -20) is divided by 48?
46
Suppose y = 5*y - 5*q - 10, 3*y + 4*q + 8 = 0. Suppose -3*r + 4*a - 66 = -y*r, -a + 22 = -r. Let n = -1 - r. What is the remainder when 81 is divided by n?
18
Let w = -98 + 147. Suppose -3*q + 32 = c, 3*q = 4*q + c - 12. Calculate the remainder when w is divided by q.
9
Let y be 25/15 - 382/6. Calculate the remainder when -2 + 2 - (y - -2) is divided by 31.
29
What is the remainder when 87 is divided by 52 + (-20)/2*3/6?
40
Let f = -73 - -295. Suppose 10*q = 8*q + f. Calculate the remainder when q is divided by 28.
27
Suppose -102*b + 353 = -101*b + 5*a, -3*b - 5*a + 1099 = 0. Calculate the remainder when b is divided by 21.
16
Let h(p) = -21*p - 261. Calculate the remainder when 1050 is divided by h(-18).
114
Let p be -4*(-120)/(8/2). Suppose p = 3*w - 8*f + 3*f, 3*w = -3*f + 144. Calculate the remainder when w is divided by 12.
9
Let v = 136 + -63. Calculate the remainder when v is divided by 19.
16
Suppose -11*m + 13*m = -2*z + 98, -3*m - 4*z = -147. What is the remainder when m is divided by (-160)/(-6) - 6/9?
23
Let l(j) = -j + 4. Suppose 3*x + 0*q = -3*q + 18, 5*x - 29 = -4*q. Let b be l(x). What is the remainder when 34 is divided by b + (0 - 0) - -8?
6
Let m = -40 + 312. Calculate the remainder when m is divided by 69.
65
Let t(c) = -27*c**2 + 8*c + 9. Let n(f) = 28*f**2 - 7*f - 8. Let u(v) = 7*n(v) + 6*t(v). Calculate the remainder when 98 is divided by u(-1).
32
Let m be -2*(-13 - 0) - -4. Let y = m + -22. Suppose r + y = 18. What is the remainder when r is divided by 3?
1
Suppose -3*b = -0*b. Suppose b = -0*c + c - 2. Suppose c*z = -0*z + 98. Calculate the remainder when z is divided by 13.
10
Suppose -275 = 8*u - 691. What is the remainder when u is divided by 16?
4
Let c(u) = u**3 - u**2 + 11. Suppose 5*g - g = 0. What is the remainder when c(g) is divided by (100/176 + 8/44)*4?
2
Let m be (-1305)/18*8/(-10). Let z = m - 23. What is the remainder when 241 is divided by z?
31
Let q(y) = 6*y - 17. Let a(g) = -5*g + 16. Let h(k) = 5*a(k) + 4*q(k). Calculate the remainder when h(-7) is divided by (-6)/33 + 336/33.
9
Suppose 5*r - 65 = 30. Suppose 4*h - 31 = -5*w + 21, 4*h - 36 = -w. Suppose d - h - 2 = 0. Calculate the remainder when r is divided by d.
9
Let m = 5 - 4. Suppose 0 = 5*t - 297 - 3. What is the remainder when t is divided by (-3 + 72/3)*m?
18
Suppose 4*m + b = -b + 6, b = 3*m - 12. Suppose 0 = -m*n + 240 + 177. Calculate the remainder when n is divided by 20.
19
Suppose 3*v = -0*g - 2*g + 25, 40 = 4*g + 4*v. Let m(z) = -z**3 + 10*z**2 + 13*z. Let a be m(11). Let s = -15 + a. What is the remainder when s is divided by g?
2
Let w = -59 + 98. Let f = -28 + w. Suppose 0 = -c + 3*c - 6. What is the remainder when f is divided by c?
2
Let s(a) = 2*a + 2. Let z be (-22)/18 - (-2)/9. Let p be 12/z*8/(-32). Calculate the remainder when 14 is divided by s(p).
6
Let a be 8 + -6 + 4/2. Suppose -2*i = -2*b + 128, 73 = b - 0*i - a*i. Calculate the remainder when b is divided by 21.
19
Let j(q) = q**3 + q**2 + 20. Let s be j(0). Suppose s = 4*z - 52. Let w = -16 + z. Calculate the remainder when 7 is divided by w.
1
Suppose 8*i - 26 = 4*i + 5*w, 10 = 5*w. What is the remainder when 501 is divided by i?
6
Suppose -4*o + 132 = m - 5*o, -m - 4*o = -107. What is the remainder when m is divided by 65?
62
Let g(r) = r**3 + 6*r**2 - 9*r - 5. Suppose -i = d + 7, 2*d + 4 - 2 = 0. Let j = -35 - -48. Calculate the remainder when g(i) is divided by j.
10
Let q(z) = 23*z - 2. Suppose 4*s + 2*a + 4 = 116, -2*a = -5*s + 122. Let v = -22 + s. What is the remainder when q(v) is divided by 31?
28
Suppose -5*s = -92 - 3. Suppose 0 = -0*l - 5*l - d + 372, 0 = -2*l - 5*d + 135. What is the remainder when l is divided by s?
18
Suppose -2328*b - 210 = -2331*b. What is the remainder when 147 is divided by b?
7
Suppose -3*a + 12 = -3. Suppose 0 = z - 6*m + 2*m - 5, a*m = 0. Calculate the remainder when 18 is divided by z.
3
Let q(r) = -r**3 + 13*r**2 - 4*r + 68. Calculate the remainder when 19 is divided by q(13).
3
Let c(f) = -2*f**3 + 12*f**2 + 9*f - 47. What is the remainder when 76 is divided by c(6)?
6
Suppose 4*u - 2*u = 56. Let s = -34 - -22. Let f = s + 20. Calculate the remainder when u is divided by f.
4
Suppose -1 = b, c + 2*b - 15 = -1. Suppose 68 = -0*d + 4*d. Suppose -2*r + 71 + d = 0. What is the remainder when r is divided by c?
12
Let y be (-19)/(-7) - (-18)/63. Suppose -y*t + t = -20. Calculate the remainder when 36 is divided by t.
6
Let q = -104 + 153. Let z = 55 - q. What is the remainder when z is divided by 1?
0
Suppose 6*z - 39 = -7*z. Calculate the remainder when 12 is divided by z.
0
Suppose 0 = d + 45 - 53. Calculate the remainder when 21 is divided by d.
5
Suppose -y - 5*s + 4*s = -9, -y + 5*s + 33 = 0. What is the remainder when 185 is divided by y?
3
Let b = 2 - 10. Let t = -1 - b. Suppose -73 = -t*p + 46. Calculate the remainder when 65 is divided by p.
14
What is the remainder when 101 is divided by 650/39 - 4/(-12)?
16
Let x(y) = -20*y - 29. Calculate the remainder when x(-3) is divided by 14.
3
Suppose -35*r = -93*r + 2784. Calculate the remainder when r is divided by 20.
8
Let p be (-12)/(-6) - (-2 - -1). Suppose 8*x = p*x + 30. Suppose 0 = 2*o + 3*t + t - x, 3*o = 3*t + 45. Calculate the remainder when 31 is divided by o.
9
Suppose -2*s = 2*s - 72. Suppose j + 0*j = -3*u + 8, 5*u - s = 3*j. Let v(r) = 21*r + 4. What is the remainder when v(u) is divided by 23?
21
Let y be 23 - (3/3 + 0). What is the remainder when 15 is divided by 143/y - (-1)/(-2)?
3
Suppose 2*f + 19 = 6*f + 5*i, 10 = 2*f + 2*i. Let g = -89 - -131. Suppose -4*d = -f*d + g. What is the remainder when 80 is divided by d?
17
Suppose 23*g = 32*g - 981. What is the remainder when g is divided by 56?
53
Calculate the remainder when 71 is divided by (0 - 0) + (109 - 50).
12
Let h(i) = i**3 + 33*i**2 - 36*i + 30. Calculate the remainder when h(-34) is divided by 86.
12
Suppose -44*x - 842 = -4362. What is the remainder when 245 is divided by x?
5
Suppose 4*w - 1017 = -129. Suppose w = 8*k - 354. Suppose 15*s = 18*s - k. What is the remainder when s is divided by 9?
6
Let y(b) = 86*b - 45. Calculate the remainder when y(2) is divided by 16.
15
Let c(p) be the third derivative of -p**4/24 + 4*p**3/3 + 11*p**2. What is the remainder when c(5) is divided by -1 + (1 - 0) + 3?
0
Let y = 2 + 47. Let w = 90 - y. Calculate the remainder when w is divided by 10/(-5)*((-108)/8 - -3).
20
Suppose 0 = -2*c + x + 128, 3*x - 78 = -c - 0*c. Let w = c - 37. Calculate the remainder when w is divided by 10.
9
Let c = 1337 - 1307.