1. Suppose 8*z - 3*z - 4*p - 133 = 0, 0 = 4*z - 5*p - 110. Calculate the remainder when m(-1) is divided by z.
20
Let k = 26 - 18. What is the remainder when 42/(-12)*90/(-21) is divided by k?
7
Suppose 300*y - 289*y = 165. Let j = -16 + 37. Calculate the remainder when j is divided by y.
6
Let c(q) = 5*q**2 + 3*q - 10. Suppose -3*l = 9, 5*a = 2*a + l + 87. Calculate the remainder when c(4) is divided by a.
26
Let q(t) = -t**3 + 12*t**2 - t + 48. What is the remainder when q(12) is divided by 13?
10
Suppose 21 = 2*r + 2*r - 3*f, r + 1 = 2*f. Suppose 0 = v + 3*y, -4*v + 5 = y - 6. Suppose -v*h = 31 - 106. Calculate the remainder when h is divided by r.
7
Calculate the remainder when (0/(-2) + -1)/((-3)/129) is divided by 11.
10
Let x(f) = 2*f**3 + 38*f**2 - f + 32. What is the remainder when x(-19) is divided by 27?
24
Suppose 3*n - 4*v - 77 = 98, -170 = -3*n - v. Calculate the remainder when n is divided by 10.
7
Let r = -490 + 494. Calculate the remainder when 2*(-27)/4*-2 is divided by r.
3
What is the remainder when 320 is divided by ((-119)/14*-2)/1?
14
Let h = -87 - -149. Let w = h - 51. Calculate the remainder when w is divided by 5.
1
Let m = -272 - -312. Calculate the remainder when m is divided by 11.
7
Let z(w) = -42*w - 286. Let t = 1 - -20. What is the remainder when t is divided by z(-7)?
5
Let z(n) = 3*n**2 + n + 5. Suppose 2*i + 5*t + 134 = 0, -3*i = -t + 2*t + 201. Let c = i - -79. What is the remainder when z(4) is divided by c?
9
Suppose -5*i + 1568 = -2*k, -2*i + i = -k - 313. Calculate the remainder when i is divided by 63.
62
Let q(j) = -2*j + 4. Let n = 0 - 3. Suppose 2*x + 0*x + 4*o - 70 = 0, x - 45 = 3*o. Calculate the remainder when x is divided by q(n).
9
Let c = -4 - -43. Suppose -3*j = -3*o + j + 9, 3*o = 3*j + 6. Calculate the remainder when c is divided by (-12 - (-2 + 4))*o.
11
Let f be (-16)/(-4) - (-1 + 3). Suppose -3 = -m - 3*w, 4*m - f*w - 25 - 1 = 0. What is the remainder when 26 is divided by m?
2
Suppose 0 = -4*n + 3*t + 148 + 24, t = 3*n - 124. Calculate the remainder when 278 is divided by n.
38
Let h(b) = b + 4. Let s be h(-1). Let o(y) = -y**3 + 5*y**2 + y + 3. What is the remainder when 91 is divided by o(s)?
19
What is the remainder when 2 - -13*(-112)/(-8) is divided by 38?
32
Suppose -2421*s = -2428*s + 2352. Calculate the remainder when s is divided by 10.
6
Let s = 26 + -16. Let f be (5/(-2) + 3)*s. Suppose -2*z - f*m + 29 = 0, 2*m - 45 - 59 = -5*z. Calculate the remainder when 85 is divided by z.
19
Suppose 4*t + 2*w - 3*w - 661 = 0, t = w + 166. Let m = -19 + 61. What is the remainder when t is divided by m?
39
Let i = 1553 + -1281. What is the remainder when i is divided by 46?
42
Let i(m) = -m**3 + 6*m**2 - 5*m + 3. Suppose -19 = 6*w - 103. What is the remainder when w is divided by i(5)?
2
Suppose -4*m + x = -103 + 598, 4*m + 3*x + 515 = 0. Let u = -108 - m. Calculate the remainder when 10/(-4)*(-14 + 2) is divided by u.
13
Let w = -123 - -152. Let n(f) = -f + 3. Let g be n(2). Calculate the remainder when w is divided by g/((-2)/(-22)) - 1.
9
Let o(z) = -z**2 + 3*z**2 - 2*z - 8*z - z**2 - 13. Calculate the remainder when o(12) is divided by 6.
5
Suppose 45 - 11 = -2*t. Let m be (8/(-10))/(1/(-40)). Let k = t + m. What is the remainder when 27 is divided by k?
12
Let u(w) = -15*w**3 + 3*w**2 + 5*w + 1. Let n = 15 + -11. Calculate the remainder when (2/n)/((-5)/(-230)) is divided by u(-1).
9
Suppose 6*d + 33 = 3*d. Calculate the remainder when (-1 + 55)*(-2 + 4) is divided by d/(2/5 - (-36)/(-40)).
20
Suppose -11*r = -27*r + 192. Calculate the remainder when 4187 is divided by r.
11
Let z = -1655 + 1773. Calculate the remainder when z is divided by 28.
6
Let v be (-5)/((-5)/(-9)) - 0. Let g = 7 + v. What is the remainder when g/(-4) - 135/(-6) is divided by 8?
7
Let h(l) = -l**3 - 10*l**2 - 11*l - 3. Let c be (35/4 + 1/4)*-1. Let i = -17 + 44. What is the remainder when i is divided by h(c)?
12
Suppose -q + 2*q + 62 = 0. Let b = 82 + q. What is the remainder when b is divided by 8?
4
Let h(d) = 26*d**3 - d**2 + d + 2. Let m be h(-2). Let f(n) = -4*n + 16. Let x be f(11). What is the remainder when 25 is divided by (-16)/28 + m/x?
4
Calculate the remainder when ((-117)/12*4/(-6))/(13/130) is divided by (-4 - -1)/((-1)/6).
11
Suppose -f + 59 = 25. Calculate the remainder when 337 is divided by f.
31
Suppose -4*t + 194 = -0*t - 2*k, -2*t = -3*k - 103. Calculate the remainder when 146 is divided by t.
5
Suppose 2*k = 3*s - 384, s - 141 = 7*k - 2*k. Calculate the remainder when s is divided by 43.
40
Suppose 6975*n - 33 = 6972*n. Calculate the remainder when 87 is divided by n.
10
Suppose 0*n = -5*n + 145. Let q = -22 + n. Calculate the remainder when q is divided by 3.
1
Suppose -5*m = -2*w - 42 - 2, 3*m - 42 = -4*w. What is the remainder when 28 is divided by m?
8
Suppose 5348 = 26*t + 2*t. Calculate the remainder when t is divided by 49.
44
What is the remainder when (-12 - 0) + 574 + 57 is divided by 70?
59
Suppose 30*p + 546 = 56*p. What is the remainder when 70 is divided by p?
7
Calculate the remainder when 319 is divided by -49*(1 + 4)/(-5).
25
Let g = -38 - -9. Let s be g + -4*(-1)/2. Calculate the remainder when s/((0 - -1)*-1) is divided by 10.
7
Suppose -6*f + 0*f + 1176 = 0. Suppose -f = -5*l + 4. Calculate the remainder when 197 is divided by l.
37
Let d(q) be the first derivative of -q**4/4 - 2*q**3 - 3*q**2 - 2*q + 10. Let z = 14 - 11. Calculate the remainder when d(-5) is divided by z.
0
Suppose 3*s + s = -3*z + 215, -55 = -s - z. What is the remainder when s is divided by 19?
12
Let v(w) = -w**2 - 4*w + 3. Let h be v(-4). Suppose -3*b = -b + h*l - 74, -109 = -3*b - 4*l. What is the remainder when 58 is divided by b?
27
Let f = 153 - 149. Suppose f*z - 54 = 3*s, z + s - 32 = -z. Let r(q) = 44*q**2 - 1. What is the remainder when r(1) is divided by z?
13
Suppose -v = -0*v - 99. Calculate the remainder when v is divided by 3.
0
Suppose -169 = 2*i - 259. Calculate the remainder when 220 is divided by i.
40
Suppose 65 = 5*k - 55. Suppose 32*g - 3186 = 5*g. What is the remainder when g is divided by k?
22
Suppose 2*t = -2*b - 12, -t - b = 2*t + 10. Let m(r) = -5*r - 2. Calculate the remainder when m(t) is divided by 5.
3
Suppose 4 = 4*h - 3*h. Suppose -h*m - u = -5*u - 72, 0 = -3*u + 12. Calculate the remainder when (1 - 55/(-10))*10 is divided by m.
21
Suppose 2*u = -u + 267. Suppose 0 = 20*k - 13*k - 126. What is the remainder when u is divided by k?
17
Let z(a) = a**3 - 5*a**2 + a + 8. Let p be z(5). Suppose f - p = 6. Calculate the remainder when 28 is divided by f.
9
Let k(f) = 20*f**2 - 8*f - 4. Let a be k(4). Let t = a + 162. Suppose 2*p - t = -180. Calculate the remainder when p is divided by 34.
31
Let x = 694 - 310. Suppose 4*d = k + 173, 2*d - 109 = -2*k + 7*k. What is the remainder when d is divided by 4/6 - x/(-18)?
20
Let q = -218 - -231. What is the remainder when 77 is divided by q?
12
Let k(w) = -27*w - 176. Let g be 1/3*(-2 + 8). Suppose 4*t + g*z = 48, z = -0*z - 4. What is the remainder when k(-8) is divided by t?
12
Suppose 0 = -3*m + 5*p + 43, 3*m + 0*p + 3*p = 75. Calculate the remainder when m is divided by 17.
4
Let x = -65 + 91. What is the remainder when x is divided by 22/(-77) - (-214)/14?
11
Let a(z) = -6*z + 1. Let c = 203 - 131. Suppose 0 = 2*o - 5*o + c. Calculate the remainder when o is divided by a(-2).
11
Suppose -r + 2 + 0 = 0. Suppose -3*n = -r*g + 54, n = 2*n - 4. Let x = -26 + 38. What is the remainder when g is divided by x?
9
Suppose 935*q + 284 = 939*q. What is the remainder when q is divided by 24?
23
Let r(k) = -7*k - 7. Let x(d) = -d**2 + 10*d - 20. Let p be x(8). What is the remainder when 72 is divided by r(p)?
9
Let s(a) = a**2 + 9*a + 15. Let f = -19 + 9. Calculate the remainder when s(f) is divided by 14.
11
Suppose c + 78 = 4*c. Suppose 2*a + 2*a - 20 = -h, 2*h - 5*a + 25 = 0. Suppose -20*d + 19*d + 103 = h. Calculate the remainder when d is divided by c.
25
Suppose 0 = 2*w + 3*w - 30. Suppose 4*v - 11 = -t, -t - 13 = -0*v - 2*v. Let u = w - t. What is the remainder when u is divided by 6?
5
Let c be (-102)/9*-3 - 3. Suppose -c = -4*q + y - 0*y, -q - 5*y = -13. Suppose -13*k = -q*k - 5. Calculate the remainder when 2 is divided b