t c(g) = -13*g - 9. Let f(o) = t*x(o) - 3*c(o). Calculate the remainder when f(3) is divided by 18.
16
Let s(o) = -o**3 + 11*o**2 - 19*o + 27. Calculate the remainder when s(9) is divided by 10.
8
Suppose 141*c = 142*c - 38. What is the remainder when c is divided by 14?
10
Suppose -2*a + 4 = -14. Suppose 117 = 4*d + a. What is the remainder when 107 is divided by d?
26
Let k = 9 - -11. Calculate the remainder when 96 is divided by k.
16
Suppose 0 = -4*h + 3*u + 53 + 9, 5*u = -4*h + 46. Let s(l) = 2*l - 4. What is the remainder when h is divided by s(5)?
2
Suppose 1258 = 17*u - 595. What is the remainder when u is divided by 30?
19
Let j(p) = -p**3 + 5*p**2 - 4. Let z be j(-4). Suppose -137*n + z*n - 183 = 0. What is the remainder when n is divided by 31?
30
Suppose 0*h = 4*h - 416. What is the remainder when h is divided by 11?
5
Let z = 793 - 755. What is the remainder when 600 is divided by z?
30
Let l(i) = -83*i - 147. Calculate the remainder when l(-3) is divided by 36.
30
Suppose 71*g - 76*g + 85 = 0. Calculate the remainder when 608 is divided by g.
13
Let z = 45 - 45. Let c(f) = 2*f + 36. What is the remainder when 106 is divided by c(z)?
34
Suppose 8*u = 396 + 5364. What is the remainder when u is divided by 38?
36
Let j be 1 + 1 - (13 + -11). Suppose 3*o - 60 = -4*r - 0*r, j = 5*o - 4*r - 68. Calculate the remainder when 62 is divided by o.
14
Suppose 0 = -i - 2*i + 93. Calculate the remainder when i is divided by 1/(5/85 - 0).
14
Suppose 10 = -6*r + r. Let m = 33 + r. What is the remainder when m is divided by 16?
15
Suppose 2*x + 2*x = 20. Suppose -d - 5*y + 49 - 8 = 0, -4*d + 140 = -4*y. Let z = d + -19. Calculate the remainder when z is divided by x.
2
Suppose -2*b - 309 = -4*u + b, -4*u - 5*b = -285. Suppose l = 6*l - u. Suppose 6*s - l = 15. Calculate the remainder when 22 is divided by s.
2
Suppose -91*b = -87*b - 36. Let u(y) = y**2 - y - 20. Calculate the remainder when u(6) is divided by b.
1
Let g = -34 - -132. Let d = 121 - g. What is the remainder when d is divided by 8?
7
Suppose n - 48 = 5*t, -n + 0*t = 4*t - 3. Suppose 0 = 2*w - 2*c - 90, -58*w = -60*w + 3*c + 90. Calculate the remainder when w is divided by n.
22
Let t(f) = 186*f**2 - f. Let l be t(1). Let k = -10 + 19. Suppose l = 14*r - k*r. What is the remainder when r is divided by 10?
7
Suppose -525 = -2*w - 337. Calculate the remainder when 303 is divided by w.
21
What is the remainder when (-5709)/(-121) + (-3)/((-33)/(-2)) is divided by 18?
11
Let d(b) = b**2. Let k be d(2). Suppose 0*s + 4*s - 3*c = 17, -4*s + 5*c = -15. What is the remainder when s is divided by k - (2 + -3 + 3)?
1
Let g(n) be the third derivative of n**6/120 - n**5/5 - n**4/2 - n**3/2 + 41*n**2. What is the remainder when 19 is divided by g(13)?
9
Suppose 29*o - 2040 = 1411. Calculate the remainder when o is divided by 12.
11
What is the remainder when 111 is divided by ((-2)/(-4))/(8 + (-475)/60)?
3
Suppose 0 = 75*x - 97*x + 7810. What is the remainder when x is divided by 9?
4
Let u = -21 - 6. Let t be 6/u*-3*18. What is the remainder when 6 is divided by 1/((-21)/t + 2)?
2
Calculate the remainder when ((-18)/(-8))/(3/104) is divided by (-24)/42 - (-864)/42.
18
Let j(n) = -2*n**2 - 14*n - 3. Let d be j(-4). Suppose 4*u - 3*l - 100 = 0, 0 = 5*u - 4*l - d - 104. Calculate the remainder when u is divided by 7.
4
Let s = -50 + 66. Suppose -3*z + 12 = -0. Suppose 120 = z*w - 2*w. Calculate the remainder when w is divided by s.
12
Let m(y) = y**2 + 3*y - 181. Let p(t) = t - 60. Let d(g) = 2*m(g) - 7*p(g). What is the remainder when d(0) is divided by 33?
25
Let z = 33 + -26. Suppose -2*c - z*c + 189 = 0. What is the remainder when c is divided by 12?
9
Let n(u) = 4 + 3*u - 16*u - 2. Suppose -18*c + 16*c + 30 = 0. What is the remainder when n(-2) is divided by c?
13
Suppose -38 + 2 = 4*g. Let y be (-46)/(-8) - g/(-12). Suppose y*k - 262 = 88. What is the remainder when k is divided by 18?
16
Let h(i) be the second derivative of -i**5/20 + i**4/12 - i**3/6 + 5*i**2 - 3*i. Calculate the remainder when 68 is divided by h(0).
8
Let l = -4 + 5. Let i = -11 + 6. Let x(w) = w**2 + 4*w - 4. Calculate the remainder when x(i) is divided by l.
0
Suppose 0 = 5*x - 36 - 204. What is the remainder when x is divided by (50/(-4))/((-6)/12)?
23
Suppose 0 = -2*i + 4*i. Suppose -f - f + 60 = i. Suppose 0 = 5*m - f - 15. What is the remainder when 15 is divided by m?
6
Suppose 13*a - 18*a + 380 = 0. Let g = a - 69. Suppose 2*c - 12 = -x, -x = -5*c - 0 - 40. What is the remainder when x is divided by g?
6
Suppose 0 = 9*y + 123 - 1563. Calculate the remainder when y is divided by 54.
52
Let j(s) = 3*s - 16. Let v be j(7). Suppose n - 3*c = 2*c + 6, -v*c = 0. Calculate the remainder when (-44)/(-3 + 1) - 2 is divided by n.
2
Let h = 245 - 155. Calculate the remainder when h is divided by 39.
12
Suppose 3*a - 550 = -73. Calculate the remainder when a is divided by 48.
15
Suppose 49*x - 754 = -68. What is the remainder when x is divided by 5?
4
Calculate the remainder when 545 is divided by 2 - (1 + -20) - (-4 + 4).
20
Suppose 0*f - f + 2 = 0. Suppose f*l - 3 = l. Suppose 0 = -2*d + l*c + 9, -4*d + 39 = -d + 4*c. What is the remainder when 33 is divided by d?
6
Let q = 12 - 9. Suppose -17 = -q*c - 2. Let f(w) = -w**3 - 6*w**2 - 4*w - 5. What is the remainder when f(-6) is divided by c?
4
Suppose 0*v + 135 = 5*v. Suppose 0*n + 1 = 4*f + 5*n, 3*f - 5*n - v = 0. Calculate the remainder when 5 is divided by f.
1
Let j(v) = 2*v + 37. Let o be 4/8 - (-3)/((-12)/(-26)). Calculate the remainder when j(o) is divided by 18.
15
Let a(r) = -r**3 - 13*r**2 + 63*r - 35. Calculate the remainder when 1846 is divided by a(-17).
46
Suppose -425*x + 426*x = 41. Let h(f) = -4*f - 2. What is the remainder when x is divided by h(-3)?
1
Let z = 60 - 37. Let r = z - 11. Suppose 0 = -22*i + 1255 - 1101. What is the remainder when r is divided by i?
5
What is the remainder when 2097 is divided by 1/(-4) + 98/8?
9
Let i(a) = 5*a - 5. Let u(n) = 3*n + 4*n + 0*n - 3*n - n**2. Let y be u(3). Calculate the remainder when 17 is divided by i(y).
7
Let w(o) = -o**2 - 28*o - 82. Calculate the remainder when w(-21) is divided by 23.
19
Let y = -168 - -306. Calculate the remainder when y is divided by 35.
33
Let g = -60 - -161. Let a(d) = 23*d - 447. Calculate the remainder when g is divided by a(20).
10
Let m = -742 - -765. Calculate the remainder when 280/(-6)*(-24)/10 is divided by m.
20
Suppose 2*q = -6 + 12. Suppose l + 2*l - 3 = 0. What is the remainder when q is divided by l?
0
Suppose 2*s + s - 6 = 0. Suppose 3*d - 196 = -4*w - w, -5*w + 134 = s*d. Calculate the remainder when d is divided by (2 - (-3)/(-2))*(41 - -1).
20
Calculate the remainder when 94 is divided by -21*((-3)/5 - 12/30).
10
Let d(p) = -4*p - 20. Let v be d(-6). Suppose -2*o - 4 = -m, 4*m - o + v + 1 = 0. What is the remainder when 38 is divided by ((-40)/m)/(-12 + 14)?
8
Let t = 135 + -87. Let w = -29 + t. Calculate the remainder when 34 is divided by w.
15
Suppose -6 = -l - 4*t + 11, -4*t - 157 = -5*l. Suppose 0*s + 21 = 2*s - 3*c, -3*c = -3*s + 36. Calculate the remainder when l is divided by s.
14
Suppose r - 13 = -0*d - 2*d, 6 = 2*d. Let a(s) = 4*s**2 + 18*s - 136. Calculate the remainder when a(5) is divided by r.
5
Suppose 3*g = 5 + 10. Suppose 12 = 3*f - 7*u + 2*u, 3*u = -3*f + 12. Suppose -m + f + 23 = -5*b, 5*b = -25. Calculate the remainder when g is divided by m.
1
Suppose 0 = 10*l - 529 + 69. What is the remainder when l is divided by 31?
15
Let m(h) = 2*h**2 + 8*h - 34. Calculate the remainder when 13 is divided by m(3).
5
Suppose 0*h - 5*a - 15 = 3*h, 0 = -5*h - 3*a - 9. Let i(o) = 2*o**2 + o + 31. What is the remainder when i(h) is divided by 8?
7
Suppose -3*l + 267 = -0*l. Suppose -5*x + l = -116. Suppose -4*p + 2*g + 86 = 0, -2*p = p - g - 64. What is the remainder when x is divided by p?
20
Suppose 5*m - 5*c - 113 - 12 = 0, 4*c - 8 = 0. Calculate the remainder when 215 is divided by m.
26
Let p be 1/(-2) - 10/(-4). Suppose u = -p*u - 48. Let s = 21 + u. Calculate the remainder when 17 is divided by s.
2
Let y = -169 - -379. What is the remainder when y is divided by 27?
21
Let b be 8/(7 - 5)*1. Suppose -w + 4*u = w - 14, -b*w - 3*u + 50 = 0. Calculate the r