-2*f + 6 = r - 28. What is the remainder when 51 is divided by f?
15
Let c(p) = -21*p**3 - p. Let h = -51 - -50. Calculate the remainder when 62 is divided by c(h).
18
Let y(a) = a**3 - 6*a**2 + 9*a + 2. Let n(w) = -4*w - 2. Calculate the remainder when n(-3) is divided by y(4).
4
Let p(k) = -k + 1. Let s be 1/4 + 35/(-28) + -10. Calculate the remainder when 71 is divided by p(s).
11
Suppose 0 = 4*z + 8, -q = 4*z + z - 9. Suppose q = 8*r - 69. What is the remainder when 41 is divided by r?
8
Let g be (-17)/(-4) + 2/(-8). Suppose -l = -g*l + 3. What is the remainder when -6*(-1)/6*3 is divided by l?
0
What is the remainder when (2226/48)/(5/40) is divided by 81?
47
Let x = 24 + -14. Suppose -3*i = -8*i + x. Suppose a - 4 = -3*a. What is the remainder when i is divided by a?
0
Let i = 69 + -35. Suppose -5*f + c = -i, -5 = -2*f + 2*c + 7. Calculate the remainder when 26 is divided by f.
5
Let s(u) be the third derivative of -u**6/120 + 2*u**5/15 + u**4/3 - u**3/2 + u**2. What is the remainder when s(8) is divided by 32?
29
Let k be (-3 - -5)/(-4)*-2. Let g be 1 + k + (3 - -32). Let a = 24 + g. What is the remainder when a is divided by 21?
19
Let s(l) = -l**2 + 9*l - 3. Let t be -4*(2 - 28/8). What is the remainder when 27 is divided by s(t)?
12
Let k(t) = t**2 + t - 1. Let l be k(-2). Let a = 6 + l. Calculate the remainder when 138/a + (-6)/(-21) is divided by 7.
6
Let s = -87 + 137. Calculate the remainder when s is divided by 17.
16
Let w = -4293 - -4296. Let l(h) = h**3 - 3*h**2 - h + 2. Calculate the remainder when l(4) is divided by w.
2
Let m = -37 - -63. Let k = 51 - m. What is the remainder when 97 is divided by k?
22
Suppose 0 = 142*i - 141*i - 34. Calculate the remainder when 133 is divided by i.
31
Suppose -4*d + 163 = -185. What is the remainder when -1*(3 - 2)*-1*d is divided by 88/3 + (-6)/(-9)?
27
Suppose -2*s + 59 = r, 83 = -26*s + 29*s - 4*r. What is the remainder when s is divided by 11?
7
Suppose w = 3*t + 71, -202 - 14 = -4*w - 5*t. Calculate the remainder when w is divided by 33.
26
Let b(w) = 1 + 18*w - 13*w - 3*w**3 - 4*w**2 - 2. Calculate the remainder when b(-4) is divided by 22.
19
Let v(s) = 5*s - 27. Calculate the remainder when 18 is divided by v(6).
0
Let y(t) = -14*t - 126. Calculate the remainder when y(-11) is divided by 6.
4
Let j(x) = 6*x**3 + 3*x - 14. What is the remainder when 122 is divided by j(2)?
2
Suppose 8 = 2*p, -5*b = -0*b + 3*p - 2. Let l be (b - (-1 - 0))/(-1). What is the remainder when 93 is divided by (-18)/(-9) + 22*l?
21
Let z(b) = 3*b**2 - 17*b - 2. What is the remainder when z(-5) is divided by 5?
3
Suppose 259*z = 246*z + 195. What is the remainder when 80 is divided by z?
5
Let v(p) = 2*p. Let n be v(1). Suppose 13 = -n*h - 3. Calculate the remainder when (-2)/h - 285/(-60) is divided by 4.
1
Let k = -290 - -393. What is the remainder when 170 is divided by k?
67
Suppose y = 3*y. Suppose 0*a - 24 = -2*a + 2*k, -4*a - 2*k + 72 = y. Let t = 21 - a. What is the remainder when 17 is divided by t?
2
Suppose 7 = -3*w - 2. Let p be (-7)/w - (-5)/(-15). Suppose 6*f - 88 = p*f. Calculate the remainder when f is divided by 5.
2
Suppose 5*a - d - d - 136 = 0, 0 = -4*a + 2*d + 108. Suppose -3*o - o = -a. Suppose -o + 131 = 2*g. Calculate the remainder when g is divided by 21.
20
Suppose 3*y + 2*y = -5, -4*l + 1301 = -5*y. What is the remainder when 124 is divided by (126/(-4))/3*l/(-189)?
16
Let u(y) be the second derivative of y**4/12 + 13*y**3/3 + 18*y**2 - 7*y. What is the remainder when 14 is divided by u(-25)?
3
Suppose -144 = -u + 2*n, -4*u + 404 = -u + n. Calculate the remainder when u is divided by 23.
21
Let a = -25 + 61. Suppose -3*b - b = -a. Let t = 29 + -4. What is the remainder when t is divided by b?
7
Suppose -d - 591 = -4*d. Suppose 5*c + 91 = 2*n, -2*c - d = -4*n - 7*c. Calculate the remainder when 189 is divided by n.
45
Suppose 74 + 24 = 2*q. Let k = q + -29. Let i = k + -13. Calculate the remainder when 17 is divided by i.
3
Suppose 1000 = 4*i + 328. Suppose 0*r = z - 4*r - 56, -3*z + r + i = 0. What is the remainder when z is divided by 19?
18
Calculate the remainder when 166 is divided by (-7 - -9) + -7 - -26.
19
Calculate the remainder when 76 is divided by -3 + -2 - 8*21/(-6).
7
Let k(g) be the second derivative of -11*g**4/6 + g**3/3 + 3*g**2/2 - 3*g. Let t be k(-2). Let x = t + 156. What is the remainder when x is divided by 14?
11
Let k(l) = l**3 + 18*l**2 - 70*l - 121. Calculate the remainder when 334 is divided by k(-21).
22
Let x(q) = 46*q**3 + 2*q**2 - 2. Calculate the remainder when 89 is divided by x(1).
43
Suppose -5*c = 28 - 108. Suppose -4*i = -5*i + 44. Calculate the remainder when i is divided by c.
12
Let u(t) = -24*t + 3. What is the remainder when u(-15) is divided by 53?
45
Suppose -13 + 45 = 4*x. Let s = x + -13. Let o = s - -22. What is the remainder when o is divided by 6?
5
Let u(q) = 7*q + q**2 + 1 - q**2 - q**2. Calculate the remainder when 3 is divided by u(7).
0
Let a = -33969 + 34055. Let k = 24 + 6. What is the remainder when a is divided by k?
26
Let k = -15 + 27. What is the remainder when (-1)/(7 - 2950/420) is divided by k?
6
Let n(q) = -15*q + 248. Calculate the remainder when n(-10) is divided by 25.
23
Suppose 5*c = -c + 156. Let g be 30 + 0 + 27/9. Suppose -2*z + g = -a, -3*z + 2*a + c = -25. Calculate the remainder when 56 is divided by z.
11
Suppose 0 = -2*j - o - 0 + 7, 19 = 5*j + 4*o. Suppose j*f - 3*z = 36, 0*f + 5*z = 4*f - 50. What is the remainder when 39 is divided by f?
9
Let f(n) = 8*n**2 - 2*n - 1. Let s be f(-1). Let u = 16 + s. What is the remainder when 122 is divided by u?
22
Let c be 3*(-2 + 1)/(-1). Suppose c*p + 41 = 2*h - 23, h - p = 32. What is the remainder when 55 is divided by h?
23
Let s = -553 + 580. Calculate the remainder when 95 is divided by s.
14
Let i(x) = -x**2 + 6*x + 2. Suppose 6*u - 3*u - 15 = 0. Suppose -4*v + 2 = 8*b - 3*b, v = -2. What is the remainder when i(u) is divided by b?
1
Suppose 0 = 4*m - 2*m - 94. Let f(c) = 7*c - 2. Suppose -17 = -5*a - 7. What is the remainder when m is divided by f(a)?
11
Suppose t + 4*m - 142 = 0, -4*t + 2*t + 244 = -2*m. Suppose -4*a - 2*d = 3*d - 113, 4*a + 2*d = 122. What is the remainder when t is divided by a?
30
Let s = 80 - 14. Let q = s - 49. Calculate the remainder when 133 is divided by q.
14
Let z = 9 - 7. Let k be (-791)/(-14) + (-1)/z. Suppose k - 2 = 2*u. What is the remainder when u is divided by 14?
13
Let t(v) = -5*v + 153. What is the remainder when t(-7) is divided by 10?
8
Suppose 0 = -29*u + 848 - 413. Suppose 4*m + 8 = -5*t, -t = -3*m + 2 + 11. Calculate the remainder when u is divided by m.
0
Suppose -10 = -2*p + 32. Let j(s) = s**3 + 15*s**2 + 31*s - 15. Calculate the remainder when j(-5) is divided by p.
17
Suppose 0 = 6*k - 1134 - 1968. Calculate the remainder when k is divided by 29.
24
Suppose 0 = m - 0*m + 4*k - 32, -68 = -4*m + 4*k. Calculate the remainder when 44 is divided by 5/(m/(-48))*(-20)/16.
14
Let k = 384 + -301. What is the remainder when k is divided by 3?
2
Let i = -2371 + 85. What is the remainder when i/(-72) - (-6)/(-8) is divided by 16?
15
Suppose 9*b - 204 - 12 = 0. What is the remainder when 358 is divided by b?
22
Let c = -1192 - -1208. Suppose -4*n + 83 = r + n, -3*n = -5*r + 303. What is the remainder when r is divided by c?
15
Suppose 2*a - 33 + 13 = 0. Let z be (-126)/(-33) - 4 - (-13)/11. Suppose 3*b - z = 11. What is the remainder when a is divided by b?
2
Let z = 1061 - 1047. What is the remainder when 70 is divided by z?
0
Let h(k) = -37*k - 1. Let r = 2 + -3. Let g be h(r). Suppose g = 2*t + 2*p - 10, 0 = t - 4*p - 13. Calculate the remainder when t is divided by 12.
9
Let p be (18/(-4))/((-6)/(-12)). Let m(g) = g**2 + 7*g. Calculate the remainder when m(p) is divided by 5.
3
Suppose -c + 83 = 2*y, 3*c + 0 = y - 38. Let m(o) = o**2 + 9*o + 52. Let s be m(-8). Suppose 101*u + s = 105*u. What is the remainder when y is divided by u?
8
Let a = 539 + -183. Calculate the remainder when a is divided by 19.
14
Let w(k) = 37*k + 53. Calculate the remainder when w(4) is divided by 54.
39
Suppose -4182 + 4752 = 10*x. What is the remainder when 180 is divided by x?
9
Suppose 3*d + 2226 = 2313. What is the remainder when 