 Let a(p) = 3*p**2 + 16*p. Calculate the remainder when c - (-2)/(0 + 2) is divided by a(-6).
9
Suppose 4*l + 25 = 9*l. Suppose 5*v - 3*c - 40 = 0, 3*v + 0*v + 4*c + l = 0. Calculate the remainder when v is divided by 5.
0
Suppose -3*s = -25*s + 880. Suppose -3*q + 86 = -37. Suppose -4*w + 47 = -q. Calculate the remainder when s is divided by w.
18
Let l = -1172 + 1253. What is the remainder when 807 is divided by l?
78
Let q(l) = 2*l - 2. Let x be q(1). Suppose -5*i + 212 + 153 = x. What is the remainder when i is divided by 25?
23
Suppose -2*b + 4*i + 153 = 9*i, 4*i = 4*b - 320. What is the remainder when b is divided by 2?
1
Suppose -27 = -8*u + 109. What is the remainder when 97 is divided by u?
12
Calculate the remainder when 1770/11 - (-18)/198 is divided by 151.
10
Suppose 50 = 4*c + 2*g, 2*c - 14 = g + 17. What is the remainder when 3/5*(185 - (7 + -7)) is divided by c?
13
Suppose 3*k - 123 = -5*g, 13 = 2*g + 4*k - 25. Calculate the remainder when 229 is divided by g.
13
Let j = 263 + -184. What is the remainder when 236 is divided by j?
78
Let b(x) be the third derivative of -5*x**4/24 - x**3/6 - 12*x**2. What is the remainder when b(-15) is divided by 19?
17
Let k = 61 - 41. What is the remainder when k is divided by (-1)/(1 - (-72)/(-66))?
9
Suppose -3*s = -4*u - 137, -4*s = -u - 4*u - 183. Calculate the remainder when 62 is divided by s.
15
Suppose 378*n = 383*n - 1350. Calculate the remainder when n is divided by 21.
18
Suppose 3*u + 168 = 5*g + u, 116 = 3*g - 5*u. Calculate the remainder when g is divided by 17.
15
Let f = 1 + -3. Let r = 2 - f. What is the remainder when (-12)/(-6)*44/8 is divided by r?
3
Calculate the remainder when 199*(1/(-4))/(4/(-16)) is divided by 29.
25
Let c = -1064 - -1580. What is the remainder when c is divided by 74?
72
Let a(o) = -5*o - 7. Suppose 3*i = 1 + 14. Suppose -5*l - 55 = 5*m, -4*m + 5 = -5*l - i. What is the remainder when a(l) is divided by 6?
5
Suppose -186 - 114 = -6*k. Let p = k + -10. Calculate the remainder when 116 is divided by p.
36
Let k = -63 + 72. What is the remainder when ((-2)/4)/(3/(-144)) is divided by k?
6
Let a(z) = -z**3 + 5*z**2 + 65*z + 17. What is the remainder when 22 is divided by a(11)?
4
Let u = 890 + -810. Suppose -9 = -3*c - 0*c, 2*y - 37 = 5*c. Let k = 53 - y. What is the remainder when u is divided by k?
26
Suppose 5*w = -10, 264 + 128 = 5*y - w. Suppose 5*c - y + 8 = 0. Calculate the remainder when 69 is divided by c.
13
Suppose 0 = -9*b + b + 48. Calculate the remainder when 98 is divided by (310/(-3))/(-5) - b/9.
18
Suppose 5*h - h - 2*y = 74, -3*h + y = -53. Let d = 13 + 34. Calculate the remainder when d is divided by h.
15
Suppose -4*o + 32 = -24. What is the remainder when 39 is divided by o?
11
What is the remainder when (3/5)/(12/40) - -33 is divided by 6?
5
Suppose 0 = -n - 26 + 9. Let k = n - -29. Calculate the remainder when (-1)/2 - (-284)/8 is divided by k.
11
Suppose 5*o + 92 - 397 = 0. Let i(q) = 2*q**2 - 60 - 9*q + 0*q**2 + 63. Calculate the remainder when o is divided by i(6).
19
Let c(n) = n**3 + 7*n**2 + n + 7. Let l be c(-3). What is the remainder when (-375)/l*2*-4 is divided by 19?
18
Let p be (184/16 + 5)*(-152)/3. Suppose -g - 10 = -6*g. Calculate the remainder when (p/33)/(g/(-3)) is divided by 20.
18
Suppose 0 = 309*r - 311*r + 4148. What is the remainder when r is divided by 31?
28
Suppose 0 = -9*d + 36 - 0. Calculate the remainder when 1708/18 - d/(-36) is divided by 25.
20
Calculate the remainder when 47 is divided by 568/56 - 1/7.
7
Let x(p) = -p**3 + p**2 + 22*p - 24. Calculate the remainder when 378 is divided by x(-6).
90
Suppose 4*p - 2*q - 70 = 0, 45 = 2*p - 4*q + q. Calculate the remainder when 10/p + (-345)/(-9) is divided by 14.
11
Suppose -2*o = -5*t + 3*o - 50, -3*t = -4*o + 34. What is the remainder when (-402)/(-4) - 3/t is divided by 21?
17
Let d = -51 - -74. What is the remainder when 87 is divided by d?
18
Calculate the remainder when 196 is divided by (-14 - -8) + 9 + 8.
9
Let n(q) = 3*q + 20. Let m be n(8). Let z = -34 + m. Calculate the remainder when 39 is divided by z.
9
Let t(u) = -3*u - 16. Let f be t(-11). Let d = f - 10. Suppose 3*i + 2*i - 37 = 3*o, o = i - 9. Calculate the remainder when d is divided by i.
2
Suppose h + 167*r - 25 = 169*r, 0 = 2*r + 2. What is the remainder when h is divided by 11?
1
Let c = 13 - 14. What is the remainder when 1564/20 + -4 - c/(-5) is divided by 11?
8
Let q = -317 + 222. Let w = q + 165. Calculate the remainder when w is divided by 36.
34
Suppose p = 4*w + 30 + 17, 0 = 5*w. Calculate the remainder when 82 is divided by p.
35
Suppose -r = -2*w + 4, 5*w - r - 28 = -3*r. Suppose 0*l = 4*l + 2*z - 16, -l + 3*z = -w. What is the remainder when 13 is divided by l?
1
Suppose 0 = 2*l - 4. Let t(p) = -4 - l + 1 + 2 - 10*p. What is the remainder when t(-7) is divided by 23?
21
Suppose -2*k - 30 = -7*k + 5*j, -k = -3*j - 6. Suppose 32 = k*o - 70. What is the remainder when o is divided by 9?
8
What is the remainder when 142 is divided by 6355/(-82)*(-2)/5?
18
Let u(b) = -b + 5. Let g be u(-2). Let s = g - 1. What is the remainder when s is divided by 3?
0
Let i(k) = -k**2 + 12*k - 9. Suppose 12*x - 9*x + 108 = 0. Let l = -26 - x. Calculate the remainder when i(l) is divided by 8.
3
Let z(r) be the second derivative of 13*r**3/6 - 8*r**2 - 5*r. Let q be z(10). Suppose q = -d + 3*d. What is the remainder when d is divided by 29?
28
Let s(j) = 3*j. Suppose m = 2*f + 8, 0 = 4*m + f - 5. Suppose -32 = -4*v - m*g, -2*v - 2*g = g - 20. What is the remainder when s(4) is divided by v?
5
Suppose 7*i + 3*g = 2*i + 960, -i - 4*g + 175 = 0. Calculate the remainder when i is divided by 25.
20
Suppose -5*b = -o - 16, 4*b - 21 = 5*o - 4. Let d(q) = -6*q**3 + q + 1. What is the remainder when 11 is divided by d(o)?
5
Let b be 0 - (328/(-4) + -1). Suppose 4*k - 57 - b = 0. Calculate the remainder when k is divided by 12.
11
Let v be (24/(-36))/((-2)/12). Suppose v*l = i - 97 - 1, 4*i + 3*l = 373. Calculate the remainder when i is divided by 19.
18
Calculate the remainder when (-3)/(-15) - 14*(-27)/10 is divided by 5.
3
Suppose 5*k - 18*f = -14*f + 193, 2*f = -2*k + 70. Calculate the remainder when 1070 is divided by k.
34
Suppose -y = -3*u + 3*y + 5, 0 = -2*u + 3*y + 3. Suppose r + 5 = -0*r - u*a, 4*r - 44 = 4*a. Calculate the remainder when 20 is divided by r.
6
Let l(o) = -o**2 - 10*o - 15. Let m be l(-7). Suppose r - k + 3 = 0, -r + m*r = 4*k - 10. Calculate the remainder when r is divided by 1/1*6/3.
0
Calculate the remainder when ((-8)/6 - 2768/(-24)) + -3 is divided by 16.
15
Let a be 6/16 + 1255/(-40). Let y = 91 - 24. Let h = y + a. What is the remainder when h is divided by 19?
17
Let h = -57 + 117. Let j(i) = -2*i - 8. Calculate the remainder when j(-8) is divided by ((-4)/6)/((-8)/h).
3
Let r(l) = -l + 5. Let n be r(7). Let t(o) = -27*o. Let p = 794 + -775. What is the remainder when t(n) is divided by p?
16
Suppose -4*w - o = -313, -2*w - 3*o = w - 246. What is the remainder when w is divided by -5 + 165/9 - 6/18*1?
12
Let f = 4 + 8. Suppose b - 12 = -4*w, 2*w + 3*b - f = 4*b. Calculate the remainder when 9 is divided by w.
1
Let j = -1 + 8. Suppose -12 = 3*i, j*i + 202 = 2*g + 4*i. Calculate the remainder when g is divided by 24.
23
Suppose 11 = 3*f - 13. Suppose r = -3*c - c + 17, -4*c = 4*r - f. Suppose 0 = -a + k + 41, a = -c*k + 19 - 2. What is the remainder when a is divided by 13?
11
Let l be (1/(-3))/(1/(-12)). Calculate the remainder when ((-7)/4)/(l/(-80)) is divided by 9.
8
Suppose -2*q - 3 = -3*q. Suppose 3*l + q*m - 45 = 0, 0 = l + 3*l - m - 75. Suppose 2*a + 10 - l = 0. Calculate the remainder when 9 is divided by a.
1
Suppose t - 127 + 13 = -4*z, -15 = -3*z. What is the remainder when 391 is divided by t?
15
Suppose 5*u + 1365 = 1580. Calculate the remainder when 257 is divided by u.
42
Suppose p = -2*p - 5*c + 224, 3*p - 240 = 3*c. Let l = p + -52. Calculate the remainder when l is divided by 9.
8
Let a(y) = -y**3 + 6*y**2 + 10*y - 11. Calculate the remainder when a(-7) is divided by 14.
10
Let s be -4 - (-50 + 2/1). Suppose 2*c + s = -0*c. Calculate the remainder when 37 is divided by (-422)/(-22) + c/121.
18
Suppose 58*p = 68*p - 1950. What is the remainder when 