 + 291 + 6. What is the remainder when 117 is divided by x?
7
Let x(r) = r**2 - 8*r + 1. Let f be x(8). What is the remainder when f/4 + (-418)/(-88) is divided by 3?
2
Suppose 0 = p - 2*p - 2*u + 8, 2*u = -4*p + 14. Suppose -3*c + 0*d - p*d + 5 = 0, 0 = -5*c - 4*d + 7. Calculate the remainder when 12 is divided by c.
0
Suppose 20*m + 30*m = 28150. What is the remainder when m is divided by 113?
111
Let p(g) = 4*g - 3. What is the remainder when 486 is divided by p(3)?
0
Suppose 4*u = 5*q - 12, -u - 2 = -4. Suppose -46 = -4*s + 2*s. What is the remainder when s is divided by q?
3
Suppose a = 4*n + 142, 4*n - 546 = -3*a - 200. Calculate the remainder when a is divided by ((-2)/4)/(2/(-124)).
29
Let c(r) = r**2 - 4*r - 3. Let d(a) = 40*a + 2411. Calculate the remainder when d(-59) is divided by c(-3).
15
Let a(d) = -24*d + 4. Let r(z) = -z**2 - 3*z + 475. What is the remainder when a(-6) is divided by r(20)?
13
Let o(v) = 7*v + 13. Let f be o(-6). Let i = -21 - f. Suppose j + 12 = -3*j, -3*j + 37 = 2*p. Calculate the remainder when p is divided by i.
7
Let x(t) = -t**3 - 6*t**2 - t - 2. Let y be x(-6). Let u = 58 - 40. Let h = u - y. What is the remainder when h is divided by 6?
2
Let n = -122 - -180. Suppose 5*k = 2 + n. Calculate the remainder when 1*(-52)/(-2) + -3 is divided by k.
11
Suppose 3*k - 921 = -3*f, f - 3*k - 313 = -7*k. What is the remainder when f is divided by 51?
50
Let n(b) = -2*b**3 + 7*b + 9. What is the remainder when 107 is divided by n(-2)?
8
Let l = -212 + 288. What is the remainder when l is divided by 31?
14
Let g be (2/(-3))/(10/15). Suppose -6 + 26 = 3*u - 2*b, 4*b + 16 = 3*u. What is the remainder when 17 + (-12)/(-4)*g is divided by u?
6
Suppose 82 = 4*n - 0*n - 2*f, n = -5*f + 37. What is the remainder when n is divided by 13/2 - (-3)/(-6)?
4
What is the remainder when 146 is divided by (-7210)/(-280) - (0 + (-5)/4)?
11
Suppose 2*u - 72 = 46. Suppose -90 = 4*i - z, 0 = 3*z + z + 8. Let d = i - -39. What is the remainder when u is divided by d?
11
Suppose -7*p + 2*s + 52 = -2*p, -3*p - s + 29 = 0. Calculate the remainder when 659 is divided by p.
9
Suppose -k + 0 = -1. What is the remainder when 1/15 - ((-5152)/345 + -1) is divided by (k/1)/((-1)/(-9))?
7
What is the remainder when (-1282)/(-12) - 4/(-24) is divided by (-4)/16 + (-146)/(-8)?
17
Let g(z) = -10*z + 96. What is the remainder when 9 is divided by g(9)?
3
Let l = -10 + 74. Let u = l + -51. Calculate the remainder when 61 is divided by u.
9
Let a(p) = p**3 - 10*p**2 + 3*p - 1. Let r be a(10). Let j = -14 + r. Suppose 4*z = 29 + j. What is the remainder when 52 is divided by z?
8
Let u = -20 + 28. Let b(r) be the third derivative of r**4/12 - r**3/6 + 43*r**2. What is the remainder when 27 is divided by b(u)?
12
Calculate the remainder when ((-296)/10)/((-80)/400) is divided by 19.
15
Let t = -37 - -99. What is the remainder when t is divided by 49?
13
Suppose 0 = -5*q - 4*c + 39, 3*q - 18 = -0*q + 3*c. Calculate the remainder when 12 is divided by q.
5
Let p be (3/6)/(5/(-10)). Let g(w) = -485*w**3 + w**2. Let r be g(p). Calculate the remainder when 49 is divided by r/36 - 1/2.
10
Suppose -2*x + 123 - 5 = 0. Suppose 0 = 5*s - 115 - 150. Suppose 2*w = s + 7. Calculate the remainder when x is divided by w.
29
Let i be (-20 + -2)/1 - (-4 + 1). Let q(t) = 15*t + 3. Let a be q(-4). Let x = i - a. Calculate the remainder when 111 is divided by x.
35
Let x = 671 - 593. Calculate the remainder when 229 is divided by x.
73
What is the remainder when 21/((-1575)/(-2020)) + 4/60 is divided by 10?
7
Suppose -3*k + 61 - 340 = 0. Let q = k + 96. What is the remainder when 8 is divided by q?
2
Let o(f) = -f**3 + 19*f**2 + 20*f + 7. Let q be o(20). Let k = -12 + q. Calculate the remainder when 2 is divided by k/(-4) - (-11)/(-44).
0
Let t(c) = -c**3 + 4*c**2 + 5*c - 2. Calculate the remainder when 83 is divided by t(-2).
11
Suppose -4*z = k - 3, k - 1 = 2*k. Let o(b) = 9*b. Calculate the remainder when 52/(-8)*(1 + (-6 - -1)) is divided by o(z).
8
Let d = -8 - 7. Let s(n) = -9*n - 35. What is the remainder when s(d) is divided by 34?
32
Suppose n = -5*g - 10, -2*g = -7*g - 15. Suppose n*r = -2*p + 129, -121 = -2*p + 2*r + r. Calculate the remainder when p is divided by 34.
28
Suppose 0 = -63*r + 37 + 152. Calculate the remainder when 78 is divided by r.
0
Suppose -5*u - 55 + 505 = 0. What is the remainder when 356 is divided by u?
86
Let f = -24 - 3. Let y = f - -31. Calculate the remainder when y is divided by 3.
1
Let l = -593 - -681. What is the remainder when l is divided by 15?
13
Let i = 1076 - 1072. Calculate the remainder when 17 is divided by i.
1
Let c = -1711 - -1804. What is the remainder when c is divided by 80?
13
Let h = 67 + -9. Calculate the remainder when h is divided by (1/10 - 3168/(-320)) + 6 + 0.
10
Let a = -64 - -93. Suppose a + 13 = 6*m. Suppose m*g - 11*g = -8. Calculate the remainder when 3 is divided by g.
1
Suppose 5*o + 0*o - 35 = 3*y, -4*y - 32 = -3*o. Suppose -2*i = -3*k - 15, -o*k = -18 - 2. Calculate the remainder when 57 is divided by i.
12
Suppose -3*y - 2702 = -15*j + 10*j, 0 = 2*j + 5*y - 1056. What is the remainder when j is divided by 27?
25
Let r(n) = n**2 + n + 5. Let v be -3 + (5 - (-1 + 3)). Suppose v*k - 3*h = 3*k - 45, 4*k - h - 80 = 0. What is the remainder when r(5) is divided by k?
16
Let z = 3324 - 2870. Calculate the remainder when z is divided by 131.
61
Suppose -4*v - 12 = 0, 2*d - v + 8 = -5*v. Suppose -f = -2*b + 2, 4*b - 4 = -6*f + d*f. Suppose f*j = -j + 26. Calculate the remainder when j is divided by 14.
12
Suppose -1003 = -63*r - 247. What is the remainder when (-136)/(-3) - (-2)/3 is divided by r?
10
Suppose -29 = -3*w + 145. Calculate the remainder when w is divided by (-33)/(-66) + (-183)/(-6).
27
Let x(y) = y**3 - 5*y**2 - y - 12. What is the remainder when 53 is divided by x(6)?
17
Suppose -322 = 24*k - 31*k. Suppose 0*s + t = -s + 16, 0 = -5*s + 3*t + 80. Calculate the remainder when k is divided by s.
14
Calculate the remainder when (0 + 1/2)/((-27)/(-6210)) is divided by 56.
3
What is the remainder when 3/4 - (-200313)/324 is divided by 125?
119
Suppose -27 = -3*u - 9. Suppose u*l = 4*l + 40. What is the remainder when 58 is divided by l?
18
Let d = 1 + -1. Let o(q) = 8*q**3 - 60*q**2 - 1 + 23 - 3*q**3 - 6*q**3 - 2*q + 59*q**2. What is the remainder when 86 is divided by o(d)?
20
Suppose -2*m + 4*m - 3*j = 110, 102 = 2*m - 5*j. What is the remainder when m is divided by 32?
29
Let j(d) = d**2 + d - 13. What is the remainder when j(9) is divided by 24?
5
Let q(j) = -3 - j**2 + 19*j - 7 - 2. What is the remainder when 41 is divided by q(17)?
19
Suppose -t = 4*c - 82, -19*c + 17*c + 34 = 4*t. Calculate the remainder when 62 is divided by c.
20
Let m(q) = q**3 + 9*q**2 + 16. Suppose 0 = 2*i - 4 + 22. What is the remainder when 45 is divided by m(i)?
13
Let i = -14 - -33. Let v = 19 + -5. Calculate the remainder when i is divided by 4*(0 + v/8).
5
Let x = 219 - 172. What is the remainder when x is divided by 16?
15
Let z = -4 - -4. Suppose f - 19 = -z*f. Suppose -3*w + 220 = 4*s, -4*s - 5*w + 220 = -0*s. Calculate the remainder when s is divided by f.
17
Suppose 3*t - 10 = 5. Suppose 3*r + 3*h - 86 = 79, -r + t*h = -55. Calculate the remainder when r is divided by 16.
7
Let v = 1877 - 1862. Calculate the remainder when 267 is divided by v.
12
Let r = -9 + -10. Let d = 23 + r. What is the remainder when 35 is divided by ((-48)/3)/d - -22?
17
Let q(r) = 18*r + 477. What is the remainder when q(-12) is divided by 44?
41
Suppose -4*k = 2*k. Suppose 4*i - 4*x - 192 = k, -i + 30 = 4*x - 13. Calculate the remainder when i is divided by 12.
11
Let a(v) = -v**2 + v - 6. Let y be a(0). What is the remainder when 55 is divided by (8/y)/((-2)/21)?
13
Let v(x) = 18*x - 1. Let i(d) = -4*d**2 - 6*d + 12. Let p be i(5). Let q = p - -255. Calculate the remainder when q is divided by v(2).
32
Let q = -15 - -21. Suppose -2*t = 5*p - t - 167, 3*t - 6 = 0. Let v = 37 - p. What is the remainder when q is divided by v?
2
Let i(x) = -10*x + 36. Let z be i(7). Let q = z + 63. What is the remainder when q is divided by 18?
11
Suppose -6*u + 3*u + 140 = -5*c, 148 = 3*u - c. Let w = 80 - u. What is the remainder when 208 is divided