 130, 0 = 4*z + r + 56 - 567. What is the remainder when z is divided by u?
7
Suppose -o = 10 - 15. Suppose u + 582 = 4*c, -3*c - o*u = -6*c + 428. What is the remainder when c is divided by 21?
20
Suppose 0 = 6*h + 138 - 30. Let s = h - -31. What is the remainder when 24 is divided by s?
11
Let b = -14 - -17. Suppose 2*s - 24 = -2*i, 5*i = b*i. What is the remainder when ((-20)/s)/(2/(-54)) is divided by 23?
22
Let b = -370 - -416. What is the remainder when b is divided by 25?
21
Suppose h - 97 = -2*f, 5*h - f - 173 = 257. Calculate the remainder when 165 is divided by h.
78
Let g(k) = k - 6. Let r be g(7). What is the remainder when 28 is divided by (3 - 5)*(-2 + -2*r)?
4
Let o(p) = p - 8. Let f be o(5). Let y(i) = 2*i**2 - 6*i - 7. What is the remainder when y(f) is divided by 16?
13
Suppose 1082 = -100*h + 8782. What is the remainder when h is divided by 40?
37
Let r(o) = o**3 + 7*o**2 - 6*o + 9. Let h be r(-8). Let t = h - -10. Suppose i = 5*v - 145, 0 = i + t*i. What is the remainder when v is divided by 15?
14
Suppose 10 = 4*l - 5*l. Calculate the remainder when 87 is divided by l*(-6)/(-48)*6*-6.
42
Let v(w) = -w**2 + 12*w - 11. Calculate the remainder when 94 is divided by v(7).
22
Suppose 4*t = 3*f + 75, -3*t + f = -1 - 54. Suppose t*h = 16*h + 34. What is the remainder when h is divided by 10?
7
Let a(u) = -99*u + 612. What is the remainder when 1510 is divided by a(6)?
16
Let x be (24/(-42))/((-4)/14). Let u = x - 0. Suppose -u*j = -j - 22. What is the remainder when j is divided by 12?
10
Let r(w) = 5*w**2 - 87*w - 44. Let b = -23 - -60. Calculate the remainder when b is divided by r(18).
7
Let c = 1008 - 944. What is the remainder when c is divided by 24?
16
Let n = 120 - -9. Calculate the remainder when n is divided by 10.
9
Let a be (-4 - -9)/((-10)/(-12)). Let u be 7*(1 + -3 + 1). What is the remainder when (-1)/((21/a)/u) is divided by 1?
0
Suppose -2*c + 15 = m, -5*c - 1 = -2*m - 16. Let l(s) = -s**3 + 6*s**2 - 5*s + 6. Calculate the remainder when 28 is divided by l(m).
4
Let i(q) be the second derivative of 5*q**4/6 - 2*q**3/3 + q**2 + 8*q. What is the remainder when i(2) is divided by 9?
7
Let c = 8 - 3. Suppose -2*p + 2*n + 52 = 0, 5*n + 28 = 2*p - 36. Let z = p - 18. Calculate the remainder when c is divided by z.
1
Suppose -8 + 4 = -2*y. Suppose -29 = 3*n + o, 5*n - 2*o - y*o = -54. Let q = 11 - n. Calculate the remainder when 61 is divided by q.
19
Suppose -21*a + 31*a = 460. What is the remainder when a is divided by 23?
0
Let m = 25 - 10. Suppose g + m = 43. Calculate the remainder when 83 is divided by g.
27
Suppose -6*u + 417 = -309. Let v = 137 - u. Calculate the remainder when 63 is divided by v.
15
Suppose 15*o = 2410 + 530. What is the remainder when o is divided by 22?
20
Suppose 2*s + 2*s = -96. Let m be s/(-28)*(-308)/(-4). Suppose -2*y + 0*y + m = 0. Calculate the remainder when y is divided by 12.
9
What is the remainder when 62 is divided by ((-69)/(-6))/((-11)/(-22))?
16
Let m be (18/(-8) + 1)/((-14)/56). Suppose m*y = -2*y + 49. What is the remainder when 4/14 - (-234)/14 is divided by y?
3
Let a(m) = -m**2 - m + 10. Let x(u) = u**3 - 55*u**2 + 106*u + 14. What is the remainder when x(53) is divided by a(0)?
4
Suppose 0 = -164*q + 202*q - 38. What is the remainder when 4/2 + 1 - -5 is divided by q?
0
Let f(b) = b**3 - 24*b**2 - b + 28. Let z be f(24). Let x = z - 0. What is the remainder when 10 is divided by x?
2
What is the remainder when 876/5 + 3/(-15) is divided by 8?
7
Let f(x) = -x**3 + 12*x**2 - 17*x + 211. What is the remainder when 152 is divided by f(12)?
5
Let p(l) = -l**2 + 3*l. Let y be p(-3). What is the remainder when 15 is divided by y*(-1 + 10/15)?
3
Let o(a) = 7*a**2 - 8*a + 2. Suppose 5*h - 4 = -3*f + 3*h, -3 = -2*f - h. Let n = -8 + 13. What is the remainder when o(f) is divided by n?
4
Suppose d - 3*d = 0. Let r = 2 + d. Calculate the remainder when 5 is divided by 1 + (r + 1 - 1).
2
Let i(m) = -m**3 - m**2. Let h(y) = -12*y**2 - 14*y - 19. Let l(t) = h(t) + i(t). What is the remainder when 28 is divided by l(-12)?
3
Suppose -5*o + 75 = a + 31, 2*a - 3*o - 127 = 0. What is the remainder when 131 is divided by a?
13
Let g be -4 - (-4)/4 - -97. Suppose 18 = t - 3*u, 0*u + u - g = -3*t. Calculate the remainder when t is divided by 8.
6
Let v(d) = d**3 + 14*d**2 - 14*d + 35. What is the remainder when 56 is divided by v(-15)?
16
Let u(k) be the third derivative of -k**4/8 + 2*k**2. Let h(y) = y**2 - 8*y - 2. Let w be h(6). Calculate the remainder when u(w) is divided by 11.
9
Suppose 3*c + 3*h + 25 = 4, -5*c = -5*h + 65. Calculate the remainder when 45 is divided by c*(0 + -3 - 110/(-50)).
5
Let n(u) = -137*u**3 - 2*u**2 - 4*u - 3. What is the remainder when n(-1) is divided by 23?
21
Suppose -3*c + 113*w = 115*w - 867, -3*c + 5*w = -846. What is the remainder when c is divided by 100?
87
Let u(n) = n**2 - 10*n - 1. Let z be u(11). Let b(y) = -y**2 + 11*y + 9. Calculate the remainder when 55 is divided by b(z).
17
Let j(s) = -s + 4. Let o be j(-17). Let v = 38 - o. What is the remainder when v is divided by 105/(-14)*(-8)/6?
7
Suppose 18*x + 14 - 284 = 0. Calculate the remainder when 71 is divided by x.
11
Let f = 536 - 510. What is the remainder when 95 is divided by f?
17
Let l be -205*5/(25/(-2)). Let t = -28 + l. What is the remainder when t is divided by 19?
16
Let t be 0 - -1 - -4*(-88)/(-32). Suppose -3*a + 33 = -a + d, 4*d - t = 0. Calculate the remainder when 43 is divided by a.
13
Calculate the remainder when 24/36 + 638/6 - 4 is divided by 29.
16
What is the remainder when 53 is divided by 4/(-6) - (2 + (-152)/12)?
3
Let r(w) = 18*w**2 - 5*w + 5. What is the remainder when r(1) is divided by 3?
0
Let h = 9 - -7. Let u = h + 50. What is the remainder when u is divided by 34?
32
Let n be ((-11)/4 + 1)*-8. Let h = 28 - n. What is the remainder when 38 is divided by h?
10
Let o(m) = -40*m + 13. Let p = -101 + 146. What is the remainder when o(-3) is divided by p?
43
Suppose 0 = -4*t + 439 - 255. Calculate the remainder when 550 is divided by t.
44
Suppose m + 192 = 207. What is the remainder when 31 is divided by m?
1
Suppose 4*a + 4*x - 572 = 0, -3*x = -2*a + x + 310. Let q = a - 34. What is the remainder when q is divided by 23?
21
Suppose 3*r = -2*s + 4, 5*r - s - 11 = -0*s. Suppose 0 = -4*c - g + 35, -c - r*c = -g - 35. Calculate the remainder when 58 is divided by c.
8
Let s be (-2)/9 - (-80)/36. Suppose -62 - s = -4*z. Calculate the remainder when ((-66)/(-8))/(21/112) is divided by z.
12
Suppose -10 = -0*k - 3*k - 4*h, k = -5*h - 4. Suppose 4*s - 78 + k = 0. Let m(c) = 22*c - 282. Calculate the remainder when m(16) is divided by s.
16
Let q = 475 + -463. Let j be 9*(-2)/(-2) + -2. Calculate the remainder when 6/2*(0 + j) is divided by q.
9
Let p = 1 - -3. Let k = 10 + p. What is the remainder when 38 is divided by 1 + (k - (-8)/(-4))?
12
Let h = 1005 - 680. Calculate the remainder when 12/10*h/5 is divided by 8.
6
Suppose 3*u = -2*i + 206, -138 = -5*u + 5*i + 222. Calculate the remainder when 556 is divided by u.
66
Suppose 0 = -l - 5, c + 3*l + 29 = 2*c. What is the remainder when 305/5 + (-2 - -8) is divided by c?
11
Let z = -68 + 115. Calculate the remainder when z is divided by (-31)/(-248) - (3 - 238/16).
11
Let o(a) = -a + 35. Calculate the remainder when o(17) is divided by 4.
2
Let y(h) = 22*h**2 + 114*h - 4. What is the remainder when 202 is divided by y(-6)?
98
Let d(k) = -k**3 - 4*k**2 + 2*k - 3. Let q(s) = s**3 - 2*s + 1. Let z = -3 + 6. What is the remainder when q(z) is divided by d(-5)?
10
Let p(l) = 5*l**3 - 3*l**2 + 2*l - 1. Let m be p(1). Suppose 35 = m*j + 5*k, 2*j + 2 = k + 21. What is the remainder when 47 is divided by j?
7
Let g = 27 + -4. Suppose -162*q + 4229 = -1737 - 8776. What is the remainder when q is divided by g?
22
Suppose 2*a - 5*a = 0. Suppose 3*j + 3*g = 84, 5*j - 2*g - 63 - 112 = a. Calculate the remainder when 97 is divided by j.
31
Suppose -20 = -12*r + 8*r. Suppose 3*u - 4*h - 39 = -0*u, -3*u = r*h - 66. What is the remainder when 65 is divided by u?
14
Suppose 3*w = -w + 2*u + 18, -39 = -2*w - 5*u. Suppose -3*j + w = -3*a - j, -2*a + 5*j = 23. Calculate the remainder when 8 is divided by ((-5)/(-10))/(a/6).
2
Let r(x) = x**3