e -456 = -21*g + 134 - 191. Calculate the remainder when g is divided by k.
7
Suppose 0 = 5*q - 3*m - 29, 0*q + 3*q + 3 = -5*m. Suppose -2*c + a = 2*c - 75, 4*a + 60 = q*c. Calculate the remainder when c is divided by 11.
9
Let z = 501 + -490. Calculate the remainder when 87 is divided by z.
10
Suppose 0 = -13*f - 35 + 204. What is the remainder when f is divided by 8?
5
Let c(x) be the first derivative of -4*x**2 - 2*x + 7. Let y(k) = -2*k**2 + 10*k + 11. Let m be y(6). What is the remainder when 9 is divided by c(m)?
3
Suppose -4*j + j + 18 = 0. Let f(c) = -c**2 - 74*c - 344. Calculate the remainder when j is divided by f(-69).
0
Suppose 3*f + 3*y - y = 39, 0 = -3*f - 4*y + 39. What is the remainder when 110 is divided by f?
6
Let s = 215 + -309. Let i = 287 + s. Suppose 0 = -7*k + i + 80. What is the remainder when k is divided by 14?
11
Let f be -33*(-8)/3*(-2)/(-4). Suppose 4 = 3*b - f. Calculate the remainder when 45 is divided by b.
13
Let h = 284 + -237. What is the remainder when 185 is divided by h?
44
Let w(f) = 2*f + 28. What is the remainder when w(4) is divided by 11?
3
Suppose -291 = -9*z + 2157. Calculate the remainder when z is divided by 88.
8
What is the remainder when -6 - 6/(-6)*90 is divided by 44?
40
Suppose 126 = 2*a + 108. What is the remainder when 107 is divided by a?
8
Let f(r) = 4*r**2 - 6*r + 4. Let x(j) = 11*j**2 + 3*j - 3. Suppose 0 = -2*p - 6 - 0. What is the remainder when x(p) is divided by f(3)?
21
Suppose -21 - 21 = -2*u - 2*y, 3*y - 79 = -4*u. Let c = 233 - 183. What is the remainder when c is divided by u?
2
Suppose 400 = 5*m - 5*h, m + 0*m - 85 = 2*h. Let u(l) = 6*l - 7. Calculate the remainder when m is divided by u(5).
6
Let o(z) = 5*z - 184. What is the remainder when 134 is divided by o(51)?
63
Suppose -5*u + 7 = 2*j, -4*u + 2*j = -2 - 0. Let b(a) = 6 + u - 4 + 5*a**2 - 4*a - 4*a**2. What is the remainder when 31 is divided by b(5)?
7
Let m(f) = f**3 - 18*f**2 + 35*f + 10. What is the remainder when 285 is divided by m(16)?
53
Let h = 21 + -12. Let z(u) = h*u - 3*u - 3 + 13. What is the remainder when z(8) is divided by 15?
13
Let b(p) = -102*p - 678. What is the remainder when 102 is divided by b(-7)?
30
Let p(i) = -11*i - 6. Suppose -909 = -6*a + 255. What is the remainder when a is divided by p(-5)?
47
Let j(g) = g**2 - 2*g - 1. Let m be j(3). Let t be -22*(-1 - m/(-4)). Suppose 4*l - 73 = t. Calculate the remainder when l is divided by 8.
5
Let o = -274 + 325. Let v(t) = t**3 - t**2 - t + 13. Calculate the remainder when o is divided by v(0).
12
Let s(o) = o**3 + 22*o**2 + 15. What is the remainder when 252 is divided by s(-22)?
12
Let m be 1 - (2 - 0) - -5. Suppose 12*t - m*t = 880. Calculate the remainder when t is divided by 14.
12
Let i = -101 + 175. Suppose -3*o + 106 = -5*a - 0*a, 5*a + i = 2*o. Suppose 6*r = 7*r - o. Calculate the remainder when r is divided by 17.
15
Let u = 17 + 18. Calculate the remainder when u is divided by 4.
3
Let v(q) = 3*q - 14. Let m be v(-9). Let r = m - -131. What is the remainder when r is divided by 31?
28
Let x = 3 + -7. What is the remainder when 19 is divided by 4/(-3 - x) - -1?
4
Suppose q - 5*a = 33, -76*q - 249 = -81*q + 4*a. Let d = 35 + -21. Calculate the remainder when q is divided by d.
11
Let j(f) = 6*f + 13. Let d be j(4). Suppose -d = -3*z + 8. Calculate the remainder when 102 is divided by z.
12
Suppose 4*p = 3*r + 16, 3*p - 4*r = -0*p + 12. Let f(i) be the first derivative of -i**2/2 + 20*i - 4. Calculate the remainder when f(13) is divided by p.
3
Let p(j) = 7*j + 83. Calculate the remainder when p(0) is divided by 3.
2
Let x = 10 + -8. Suppose -l = -x - 3. Suppose -4 + 2 = r - l*f, -4*r + 3*f = -43. What is the remainder when 75 is divided by r?
10
Let q be (-8)/28 - 153/(-21). Let c = q + 1. What is the remainder when 53 is divided by c?
5
Let u = 22 + -20. Suppose 3*v = 19 + u. Suppose -a = -v + 3. What is the remainder when 5 is divided by a?
1
Let s(u) = -10*u - 8. Suppose y - x + 2 = 2*y, 0 = 2*y - x + 8. Calculate the remainder when s(y) is divided by 4.
0
Let r(t) = 4 - 2*t + 11 - 16. Let u be r(-3). Suppose -4*n = -u*n + 8. What is the remainder when n is divided by 3?
2
Suppose 21 = -3*q + 96. Calculate the remainder when 92 is divided by q.
17
Let m = 3 + -1. Suppose 6*s + 24 = -0. What is the remainder when (144/90)/(s/(-10)) is divided by m?
0
Let n be -14*((-14)/4 + 3). Let l = n + -5. Suppose -l*f = -2*j + 82, 0 = -4*j - 3*f - f + 164. Calculate the remainder when j is divided by 22.
19
Suppose -22 - 18 = -4*w. What is the remainder when 178 is divided by (-200)/16*(2 - 44/w)?
28
Suppose -337 = -5*o + 4*g, -4*o + 2*o - 3*g = -144. Suppose -5*c - 20 = -6*c + 2*r, 3*r - 102 = -4*c. What is the remainder when o is divided by c?
21
Let j(l) = -6*l**2 + l - 1. Let y(b) = 31*b**2 - 4*b + 2. Let h(g) = 5*j(g) + y(g). Let v = 8 + -11. What is the remainder when h(v) is divided by 2?
1
Let r(p) = -p**3 - 3*p**2 + 2*p + 5. Let b be r(-5). Suppose -a + 2*a + 529 = 5*s, 2*s - 4*a = 208. Let i = s - b. What is the remainder when i is divided by 9?
7
Suppose -j + 198 = 2*j. Calculate the remainder when 96 is divided by ((-2)/4*1)/((-3)/j).
8
Let w(v) = -v + 13. Suppose -8*y - 414 = -26*y. Calculate the remainder when y is divided by w(6).
2
Suppose 0 = 3*b + 5*z - 263 + 89, 3*b - 174 = -2*z. Calculate the remainder when 158 is divided by b.
42
Calculate the remainder when 61 is divided by (-158)/(-10) + (-32)/(-160).
13
Suppose -4*u = 3*g - 25, -15 = -2*g - 2*u + u. Calculate the remainder when 474 is divided by g.
5
Let q = -92 - -95. Let z(g) = 14*g + 9. What is the remainder when z(q) is divided by 14?
9
Suppose 8*p + 35 = 9*p. Calculate the remainder when 67 is divided by p.
32
Let g(c) be the second derivative of c**4/3 - c**3/6 + c**2/2 - 2*c. Let i be g(2). Let q = i + -8. Calculate the remainder when 19 is divided by q.
5
Let q = 0 + 2. Let x be ((-24)/9)/((-7)/(-3) + -3). Suppose 0 = x*m + 7*m - 22. What is the remainder when q is divided by m?
0
What is the remainder when (-10 - (1 + -1))/(31 + -32) is divided by 1?
0
Let f be 4 - (-5)/((-25)/740). What is the remainder when 57 is divided by 24/(-42) - f/7?
17
What is the remainder when ((-2 + 1)*2 - -316) + 4 is divided by 78?
6
Suppose 10*o - 40 = 5*o. Let v = 23 + -2. Calculate the remainder when v is divided by o.
5
Let w(m) = -53*m + 1. Let d = 50 - 51. What is the remainder when w(d) is divided by 15?
9
Let z(d) = -d**3 - 6*d**2 - 2*d - 2. Suppose -1 = 3*k - 4. Suppose 5*g - k + 11 = 5*l, 3*l - 14 = -g. What is the remainder when z(-6) is divided by l?
2
Let n = 262 + -186. What is the remainder when n is divided by 22?
10
Suppose -405 = -9*u + 1683. Calculate the remainder when u is divided by 47.
44
What is the remainder when 28*(20/(-4) - -27) is divided by 31?
27
Let w(y) = -9 - 4*y + 5*y + y + y**2 - 5*y. Let v = 5 - 13. Calculate the remainder when w(v) is divided by 27.
25
Suppose 2*v = -2*z + 1 + 85, 5*z = -4*v + 173. Suppose 3*o = 6*o - 3*f - 66, 0 = -3*o - 2*f + 66. What is the remainder when v is divided by o?
20
Let b = -30 - -42. Let x = b + -9. Suppose 4*u + 5*d = -u + 250, x*u - 140 = -d. Calculate the remainder when u is divided by 12.
9
Calculate the remainder when -14 + 170 + 2/(-2) is divided by 23.
17
Let a = 552 + -533. Calculate the remainder when a is divided by 5.
4
Let u(v) = 13*v. Calculate the remainder when u(3) is divided by 10.
9
Let d(q) = 24*q**2 - 14*q + 29. What is the remainder when d(2) is divided by 33?
31
Let n = 28 + -12. Let t be 8/n*(-3 - 1). Let f = 16 + t. What is the remainder when 25 is divided by f?
11
Suppose 0 = a + 2*a - 30. Let u = 14 - 6. Let g(y) = -y**2 + 11*y - 7. What is the remainder when g(u) is divided by a?
7
Let j(l) = 3*l - 25. Let h be j(10). Suppose 12*x = 11*x + h. What is the remainder when 7 is divided by x?
2
Let u(t) be the second derivative of -t**4/12 + t**3 + 21*t**2 - 2*t - 3. Calculate the remainder when u(0) is divided by 12.
6
Let z(f) = -f**2 - 7*f + 11. Let p be z(-8). Suppose 5*r - 253 = -3*d + 137, -p*r = 0. Calculate the remainder when d is divided by 33.
31
Let j(v) = -v + 18. Let d = 46 + -31. What is the remainder when d is divided by j(9)?
6
Let b = 62 + -26. Suppose -j = -2*j + b. Let k =