1
Suppose x = f + 179, -3*f = 4*x - 566 - 122. What is the remainder when x is divided by 88?
87
Suppose -p + 25 = 3*d, -5*d + 4*p = -7 - 63. Let j = -1900 - -1918. Calculate the remainder when j is divided by d.
8
Let q(v) = -13*v**3 + 5*v**2 - 5*v + 2. Let y be q(2). Let w = 181 + y. What is the remainder when w is divided by 13?
11
Suppose 0 = -3*q - 0*q + 3. Suppose -5*w - 4 = q. Let x = 17 - w. Calculate the remainder when 70 is divided by x.
16
Suppose -8*y + 34 = -198. What is the remainder when y is divided by 21?
8
Let o = 37 + -21. Suppose j + 2*k + 0 = o, 4*k = 5*j - 10. Suppose d - 90 = -m, 0 = 2*m + 4*d + j - 180. Calculate the remainder when m is divided by 19.
17
Suppose 2*j - 95 - 13 = 0. Suppose 0 = -3*k + 2*a + 40, -4*a - 1448 = -1440. Calculate the remainder when j is divided by k.
6
Let j(g) = 3*g**2 - 25*g + 16. What is the remainder when j(8) is divided by 6?
2
Let m be 32/6 + 1/(-3). Let d(y) = y + 35. Let o be d(-31). Suppose -u + 21 = c, -m*c = -2*c - o*u - 77. What is the remainder when c is divided by 8?
7
Suppose 7 = 5*h + 2*a - 16, h - 4 = -a. What is the remainder when h is divided by 4?
1
Let f = -91 + 92. Let h = -3 - -6. Suppose 0 = -5*k + 7 + h. Calculate the remainder when k is divided by f.
0
Suppose -3*y = -4*j + 50, y = -y - 4. Calculate the remainder when 83 is divided by j.
6
Let x(z) = 4*z + 4. Let i be x(-2). Let d(j) = j**2 + 3*j + 6. What is the remainder when 34 is divided by d(i)?
4
Let n be 0*(-2 + -1)/3. Suppose 5*z - o = 70, n*z = -4*z + o + 56. Let v = 7 - -18. What is the remainder when v is divided by z?
11
Suppose -108 + 178 = 14*d. Let q = 25 + -10. What is the remainder when q is divided by d?
0
Suppose -5*t = -4*y + 137, -5*y + 37 = 5*t - 168. Calculate the remainder when y is divided by 14/(-28) - (-27)/2.
12
Suppose -5*d = -0*d - 20. Suppose -171 = j - d*j. What is the remainder when j is divided by 22 - (2 - (0 - 0))?
17
Suppose -5*y - 45 + 905 = 0. Let w = -126 + y. Let v(c) = -c**3 + c**2 + 12. What is the remainder when w is divided by v(0)?
10
Suppose -5 - 1 = -2*n. Suppose -4*u - 18 = -58. What is the remainder when u is divided by n?
1
Suppose -2*m + 195 = 3*b, m + 4*m - 141 = -2*b. Let y = -49 + 71. Calculate the remainder when b is divided by y.
19
Suppose 0 = -3*z - 4*n + 20, -4*z = 2*n - 7 - 3. Let p(d) = d**2 - d + 18. Calculate the remainder when 33 is divided by p(z).
15
Let w be 2 + (-7 - -3) - 1. Suppose 5*k + 5*z = 70, -5*z + 0 = -k + 2. What is the remainder when (-140)/w + (-6)/9 is divided by k?
10
Let u(i) = -i**3 - 9*i**2 - 14*i + 18. What is the remainder when 51 is divided by u(-7)?
15
Suppose 2*g - 6 + 2 = 0. Suppose 2*y = -p + 27, 2*p - y - 13 = 21. What is the remainder when p is divided by (4/(-10))/(g/(-50))?
9
Suppose -w - 13*w = 1204. Let t = w + 99. Calculate the remainder when t is divided by 8.
5
Let y be (-4)/(-3 + -1) - 5. Let z = y + 36. What is the remainder when z - (-9)/(0 - 3) is divided by 10?
9
Suppose 5*b = -179 - 176. Let u = 94 + b. What is the remainder when 87 is divided by u?
18
Suppose 0 = 4*s + s - 45. Let n = -20 + 92. Suppose -5*p + n = 4*c, c + 0*c - 46 = -3*p. What is the remainder when p is divided by s?
7
Let x be (-1 + 2)*1 - 12. Let f(g) = 3*g + 4*g**2 + 2*g**2 - 5*g**2 + 5*g + 15. What is the remainder when f(x) is divided by 25?
23
Let u(n) = n**3 - 13*n**2 + 9*n - 218. What is the remainder when u(14) is divided by 38?
28
Suppose 2*z - 5*h - 52 = 0, -164 = -0*z - 5*z + 4*h. Suppose -5*f - 11 = -z. What is the remainder when 6 is divided by f?
1
Let f = -1432 - -1521. What is the remainder when 124 is divided by f?
35
Suppose -59 = -4*y - 159. Let p(o) = -o**3 - 25*o**2 - 7*o - 17. What is the remainder when p(y) is divided by 8?
6
Let h(s) be the first derivative of 2*s**3/3 + 2*s**2 + 6*s + 9. Let p be h(-4). Let k = -3 + p. What is the remainder when 37 is divided by k?
18
Let s(j) = -j**3 + 5*j**2 + 2*j - 6. Let h be s(5). Suppose -k = h*n - 143, 3*n - 2*n - 4*k - 57 = 0. Calculate the remainder when n is divided by 20.
17
Let y = 32 - 62. Calculate the remainder when (y/(-18))/((-2)/(-30)) is divided by 13.
12
Let d be -11 + 12 - (0 - 10). Suppose -17*k + 36 = -d*k. What is the remainder when k is divided by 5?
1
Suppose -5*y + m - 4 = -159, -2*m = 2*y - 62. Let q(j) = j**2 - 8. Suppose -11*o = -o + 50. Calculate the remainder when y is divided by q(o).
14
Let p(f) = 3*f**2 - 4*f**2 - 4*f**2 + 9*f - 6 - f**3. Let m(q) = 88*q + 81. Let y be m(-1). What is the remainder when 84 is divided by p(y)?
26
Suppose 915 = -36*m + 3147. Calculate the remainder when m is divided by 40.
22
Let w(o) = o**2 - 14*o - 26. What is the remainder when w(17) is divided by 17?
8
Suppose 4*q + a + 32 = 0, -q - a - 39 = 4*q. What is the remainder when 0 + 16 - (1 - 3) is divided by (-2)/q + -47*2/(-14)?
4
Suppose 9 = -z + 2*z. Suppose -z*p + 12*p - 375 = 0. Suppose -6*n + p = -n. What is the remainder when n is divided by 7?
4
Let a(s) = -9*s - 6. Let h = 125 + -53. What is the remainder when h is divided by a(-3)?
9
Let q(o) = o**3 + 11*o**2 - 63. Calculate the remainder when 789 is divided by q(-9).
96
Let n(s) = -s**3 - 14*s**2 + 16*s + 19. Let y be n(-15). Let q = 9 + y. Let p(g) = 5*g - 3. What is the remainder when q is divided by p(2)?
6
Calculate the remainder when 259 is divided by ((-95)/(-38))/((-3)/(-30)).
9
Suppose 4*q + 20 = -g - q, 0 = -3*q - 15. Suppose 0 = -4*a + 145 - g. Suppose 5 + a = r. What is the remainder when r is divided by 14?
12
Suppose 605 - 2113 = -26*h. What is the remainder when h is divided by 12?
10
Suppose -18 = -6*d - 0. Let f be (-2)/4 - 77/(-14). Suppose 5*b + 2*c + 0 = f, -25 = 5*c. Calculate the remainder when b is divided by d.
0
Let s(x) = -2*x**3 + 59*x**2 + 31*x + 3. Let o be s(30). Suppose -5*n - 25 = 0, -4*z + 3*n - 6*n = -o. What is the remainder when 34 is divided by z?
10
Let a(p) = -p**2 - 17*p + 14. Let i(g) = -2*g**2 - 34*g + 27. Let r(m) = 5*a(m) - 3*i(m). What is the remainder when 13 is divided by r(-18)?
6
Let r(w) = w**3 + 24*w**2 - 2*w - 53. Calculate the remainder when r(-23) is divided by 25.
22
Suppose -2*t = -3*t. Let q(o) = -o + t - o**2 - 6 - 10*o. What is the remainder when 86 is divided by q(-7)?
20
Let s(i) = -i**2 - 6*i + 5. Let t be s(-6). Suppose -48 = -t*n + n. Suppose -h = 4*h - 170. Calculate the remainder when h is divided by n.
10
Calculate the remainder when 5/(-1) + 19 + 455 + 10 is divided by 13.
11
Let z = 2241 - 1880. What is the remainder when z is divided by 113?
22
Let b(z) = 90*z + 3. Let c(a) = -a**2 - 12*a + 12. Let u be c(-13). Let d be b(u). Let h = -59 - d. What is the remainder when 81 is divided by h?
25
Suppose 3*u = u + 38. Let q = 75 - 157. Let p = q + 92. Calculate the remainder when u is divided by p.
9
Let j(u) = 12*u - 11. Suppose -3*b + 2*h = -8, -5*b = -4*b + 4*h - 12. What is the remainder when j(b) is divided by 19?
18
Suppose 5*q - 2*y = 19, -3*y + 5 = 3*q - y. Suppose 0 = -0*v + q*v - 114. Let u = 56266 + -56253. Calculate the remainder when v is divided by u.
12
Suppose -5*h + 1295 - 277 = -4*u, 2*u = -h + 212. Calculate the remainder when h is divided by 23.
22
What is the remainder when 327 is divided by (1 - 66/(-14)) + (-12)/(-42)?
3
Suppose g + f = 73, g + 2*f + 2*f = 76. Calculate the remainder when g is divided by 20.
12
Let d = 862 - 855. What is the remainder when 300 is divided by d?
6
Suppose -229 - 83 = -24*d. Let f = 52 + -27. What is the remainder when f is divided by d?
12
Suppose -3*t = 3*j - 108, 6 = -j - 2*j. What is the remainder when t is divided by 7?
3
Suppose -5*o - 2 + 107 = 0. Let v = o + 1. What is the remainder when v is divided by 3?
1
Suppose -3*i + 89 = s, 28*s + 2*i - 166 = 26*s. What is the remainder when s is divided by 21?
17
Let h(z) = z**3 + 6*z**2 + 5*z - 2. Let t(y) = -y**2 - 5*y + 10. Let o be (7 - -7)*2/(-4). Let c be t(o). What is the remainder when 19 is divided by h(c)?
9
Suppose 0*v - 5*v + 145 = 0. Suppose -3*f = -5*f. What is the remainder when v is divided by (-1 - -3 - -6) + f?
5
Suppose -3*v + 2*j = -j - 21, -3*v + 5 = j. Suppose w + 60 = v*w. Let t = -31 + 47. What is the remainder when w is divided by t?
14
Let d be (3/2)/((-30)/(-20)). What is the remainder when 214 is divided by (444/4