s. Calculate the remainder when c is divided by q.
15
Suppose 0 = -3*o - 3*u + 216, 4*u = 4*o - 0*u - 264. Calculate the remainder when o is divided by 8.
5
Let v = -11 - -1. Let y(r) = -43*r + 12. Let m(c) = 16*c - 5. Let s(h) = 8*m(h) + 3*y(h). What is the remainder when 33 is divided by s(v)?
3
Suppose -3*o + 6 = -9. Suppose -391 = -o*y + m + 3*m, -2*y = -2*m - 158. What is the remainder when y is divided by 38?
37
Suppose -44 = -12*w + 16. Suppose 2*n + 9 = -3*y, -5*y = w*n + 1 + 9. Calculate the remainder when 23 is divided by n.
2
What is the remainder when ((-2)/(-2) - -14)/(6/54) is divided by 35?
30
Suppose -4*k - 2*p + 14 = 0, -1 = -k + 5*p + 8. Let d be (-72)/90*(0 + (-30)/4). What is the remainder when 22*(1/(-3) - (-8)/d) is divided by k?
2
Let b = 437 + -394. What is the remainder when 74 is divided by b?
31
Suppose -5*a + 34 = m, -7 = -2*m + m + 4*a. What is the remainder when 92 is divided by (-1 - 0)/(m/(-589))?
30
Let y = 512 + -394. Calculate the remainder when y is divided by 12.
10
Let u = 319 - 213. Suppose 2*b - b + 356 = 4*d, 5*d = b + 444. Suppose 0 = -3*r + 4*y + 81, 4*r + y - d = 20. Calculate the remainder when u is divided by r.
25
What is the remainder when (12/(-10))/((-37)/3515) is divided by 18?
6
Let s be (-1 + -1 + 1)*(30 + -16). What is the remainder when (8/s + (-15)/(-14))*164 is divided by 28?
26
Calculate the remainder when 613 is divided by 7/((-49)/(-4))*217.
117
What is the remainder when 5/(-9 - (-4268)/472) is divided by 55?
8
Let p(l) be the third derivative of -l**6/24 - l**5/60 - l**4/8 - l**3/3 - 3*l**2. Let n = 12 + -14. What is the remainder when p(n) is divided by 14?
12
Suppose -4*w + 17 - 21 = 0. Let d(o) be the second derivative of -3*o**5/4 - o**4/6 + o**3/6 + o**2 + o. Calculate the remainder when 39 is divided by d(w).
11
Suppose -15*s - 35 = -410. What is the remainder when 243 is divided by s?
18
Calculate the remainder when -9 - (-325 + -5 + -4) is divided by 47.
43
Suppose -14*x + 75*x = 4148. Calculate the remainder when x is divided by 15.
8
Let p(t) = -t**2 + 3*t + 14. Calculate the remainder when 55 is divided by p(4).
5
Suppose -2*n + 4*v = -784, -7*v - 12 = -3*v. What is the remainder when n is divided by 9?
8
Let c = -22 + 63. Suppose 3*l - 2*l - c = -2*s, -s - 4*l = -31. What is the remainder when 75 is divided by s?
18
Let h(s) = 9*s - 8 + s + 4. Suppose 2*c - 11 = 17. What is the remainder when h(3) is divided by c?
12
Let v(o) be the first derivative of 4 - 10*o - 7/2*o**2. What is the remainder when v(-7) is divided by 20?
19
Let k(p) = p**3 + 8*p**2 + 8*p + 12. Let l be k(-7). Suppose 2*v + 85 = l*z, 0*v - 5*v = -2*z + 34. What is the remainder when 31 is divided by z?
14
Let y = 24 - -15. Let n = 325 + -210. Calculate the remainder when n is divided by y.
37
What is the remainder when -9*72/(-162) - 85/(-1) is divided by 16?
9
Let k(s) = 3*s**3 + 20*s**2 - 8*s + 17. Let w(f) = -f**3 + f**2 + f + 1. Let h(c) = -k(c) - w(c). What is the remainder when h(-11) is divided by 15?
11
Suppose -2 = -4*s + 14. Suppose 2*w = -3*k + 47, -s*w + k - 81 + 196 = 0. Calculate the remainder when w is divided by 6/(-4)*(-20)/3.
8
Calculate the remainder when 866 is divided by 12 + 29/((-58)/(-100)).
60
Let v(m) be the first derivative of m**4/4 - 14*m**3/3 + 6*m**2 + 19*m + 1. Suppose 12 = y + 2. Calculate the remainder when y is divided by v(13).
4
Let o be 1 - (-11)/(33/306). Let p = 168 - o. Calculate the remainder when p is divided by 17.
14
Let t be 24/16*(-4)/(-3). Let s be (-13)/t + (-3)/2. Calculate the remainder when 66 is divided by 552/32 - (-2)/s.
15
Let o(p) = -14*p**2 + 2*p - 6. Let x be o(4). Let z be 2 - (5 - -113 - 1). Let k = z - x. What is the remainder when k is divided by 27?
26
Let s = -10 - -21. Let y(d) = -d**2 + 2*d + 14. Let m be y(0). Let n(h) = -h**3 + 15*h**2 - 13*h + 7. What is the remainder when n(m) is divided by s?
10
Let j(d) = 79*d - 677. What is the remainder when j(35) is divided by 38?
36
Suppose 817 = 2*v + 5*n, -9*v + 407 = -8*v + n. Calculate the remainder when v is divided by 11.
10
Suppose -5*d + 7 = -j, -j - 3*d - 3 + 4 = 0. What is the remainder when 1/(-4 + (34/11 - -1)) is divided by (4 - -4)*j/(-4)?
3
Let r = -148 + 178. What is the remainder when 177 is divided by r?
27
Let i = -722 + 727. Calculate the remainder when 58 is divided by i.
3
Let h(q) = 5*q**3 - q**2 + q + 1. Let s be h(-1). Let j(r) = -11*r**3 + r**2 - r - 1. Calculate the remainder when 2 + -3 + (s - -41) is divided by j(-1).
10
Calculate the remainder when -13*71*28/(-182) is divided by 50.
42
Suppose -5*a + 3*w = -58, 8*a - 4*a + w - 60 = 0. Calculate the remainder when 19 is divided by a.
5
Let d = -9 + 11. Suppose -65 = -d*i + 11. What is the remainder when 75 is divided by i?
37
Let u = 20 + 28. Suppose 2*n = -14 + u. What is the remainder when 49 is divided by n?
15
Calculate the remainder when ((-235)/(-120)*-3)/((-1)/8) is divided by 6/8 + 58/8.
7
Let p(u) = 0 + 5*u + 10*u**2 - 12*u**2 - 2. Let v be p(3). Let g = 1 - v. Calculate the remainder when g is divided by 2.
0
Let m(x) = x**2 - 13*x + 13. Let a be m(12). Let p be (-7)/((-21)/30) + a. Calculate the remainder when 126 is divided by (-6)/33 + 354/p.
30
Let q be (-1 - -4) + 2 + (-93)/(-3). Suppose -s - 24 = -2*d, -3*s - 2*s = -4*d + q. Calculate the remainder when 67 is divided by d.
11
Let q(p) = 2*p**3 + 2*p**2 - p - 2. Let w be q(-1). Calculate the remainder when 89 is divided by w + (3 - -1 - -15).
17
Let q = -1499 + 1528. Suppose -4*c = -2*c - 12. What is the remainder when q is divided by ((-64)/(-12))/(2/c)?
13
Let r = 343 - 261. What is the remainder when r is divided by 80?
2
Let p(n) = n + 4. Suppose -3*u = w - 53, 5*u - 4*w + 24 - 135 = 0. Suppose -u*q + 15 = -16*q. Calculate the remainder when 33 is divided by p(q).
6
Let o = -223 + 229. What is the remainder when 22 is divided by o?
4
Let k(p) = 2*p**2 + 16*p + 11. Let f be k(-11). Suppose 13 = 5*n - f. Let z(s) = -s + 5. What is the remainder when n is divided by z(-5)?
8
Let s(p) = 42*p**2. Suppose 0 = 5*l + 4 - 24, -3*w = 3*l - 144. Calculate the remainder when s(-1) is divided by (w/6)/((-6)/(-9)).
9
Suppose 16 = -2*k + 378. Calculate the remainder when k is divided by 23.
20
Suppose 0 = 5*z - 486 + 116. Suppose 4*x + u = -u + z, 5*u - 41 = -2*x. What is the remainder when 31 is divided by x?
13
Suppose 48*k = 65*k - 119. What is the remainder when 524/10 + 6/10 is divided by k?
4
Suppose 5*b + 3*l - 297 = 0, 0 = l - 5 + 6. What is the remainder when 119 is divided by b?
59
Suppose -4*h = -21*f + 16*f - 176, -h + 44 = f. What is the remainder when h is divided by 7?
2
Suppose 5*d - 485 - 345 = 0. Calculate the remainder when d is divided by 43.
37
Let w = 33 + 14. Let j(p) = 2*p - 2*p + 3*p + 2*p. Calculate the remainder when w is divided by j(5).
22
Let t(m) = 3*m**3 - m**2 + 3*m - 8. Calculate the remainder when t(2) is divided by 3.
0
Let d(a) = 20*a**2 - a - 1. Let x(p) = -2*p**2 + p**3 - p + 1 + 6*p - 2*p - 4*p. Let f be x(2). Calculate the remainder when d(f) is divided by 7.
6
Let f = -1138 + 1206. What is the remainder when f is divided by 14?
12
Suppose 0 = 3*x - x - 4. Suppose p - 12 = -x*p. Calculate the remainder when 17 is divided by p.
1
Let b(r) = r - 2 - 3 + r. Let p = -607 - -613. Calculate the remainder when p is divided by b(4).
0
Suppose 2*r = -3*p + 41, -4*p = -3*p - 3. What is the remainder when 61 is divided by r?
13
Let a = 10892 + -10883. Suppose 3*z - 99 = 4*k, 3*k - 48 = 4*z - 180. Calculate the remainder when z is divided by a.
6
Let l(n) = 7*n**2 + 5*n - 4. Calculate the remainder when l(-2) is divided by 2.
0
Let o be (1 - -1)/((-4)/(-14)). Let g(j) = j**3 - 7*j**2 - j + 5. Let i be g(o). Calculate the remainder when 33 is divided by 636/54 + i/(-9).
9
Let t = 155 - 150. Let a(g) = 7 - 4*g + 6*g + 3*g. What is the remainder when a(t) is divided by 11?
10
Suppose 13*h = -4*a + 16*h + 4015, 0 = 4*a - 5*h - 4009. Calculate the remainder when a is divided by 56.
54
Let w = 338 + -238. Calculate the remainder when 6/3*(w/8 + -1) is divided by 8.
7
Let m(w) = w**2 + 28*w + 35. Suppose u - 60 = -3*b, 2*u = 5*b + 40 - 129. Calculate the remainder when m(-28) is divided by b.
16
Suppose 49*n - 50*n + 3*j + 143 = 0, -5*