Calculate the remainder when i is divided by 3.
1
Let q = 132 - -30. Calculate the remainder when q is divided by 33.
30
Let o be (6/(-4))/((-6)/8). Suppose 80 - 252 = -o*l. Suppose 5*z - 8*m + 3*m = 100, 0 = -5*z - 2*m + l. Calculate the remainder when 51 is divided by z.
15
Calculate the remainder when 1173/69*(-1)/(1/(-6)) is divided by 64.
38
Suppose 159 = -2*r + c, 3*r + 2*c = -2*c - 222. Let u = 150 - r. Calculate the remainder when u is divided by 21.
18
Suppose -895*n + 868*n = -5562. What is the remainder when 209 is divided by n?
3
Let y = -5 - -7. Suppose 0 = 2*f + y, f - 37 = 5*n - 228. Suppose 0 = m - 3*m + n. What is the remainder when 36 is divided by m?
17
Suppose 3*p - 2*p = 3*o + 5, 4*o = p - 7. Let s(u) = -54*u. Let i be s(p). Let t = i + -17. Calculate the remainder when t is divided by 13.
11
Let j = -26 + 56. Let i be (j/4)/((-4)/(-8)). What is the remainder when 8 is divided by (-8)/(-6) + 10/i?
0
Let s be (8 - -2)*33/3. Let d = s + -96. Suppose 8*i - 3*i = 20. Calculate the remainder when d is divided by i.
2
Suppose -52 = -v - 12. Let p = v - 26. Calculate the remainder when 25 is divided by p.
11
Let o(y) = 6*y**3 + 4*y**2 - 4*y. Let r be o(2). Let x = r + -21. Calculate the remainder when x is divided by 19.
16
Let l(j) = j**3 - 2*j + 1. Let w be l(-2). Calculate the remainder when 0 + 249/w*6/(-6) is divided by 14.
13
Suppose 2*q - 6*w = -w + 296, -5*w + 622 = 4*q. Calculate the remainder when q is divided by 22.
21
Suppose -3*f + 226 - 4 = 0. What is the remainder when 516 is divided by f?
72
Suppose -3*j - 3*q = -4*q - 419, -q - 5 = 0. Suppose 5*x - 3*x - j = 0. What is the remainder when x is divided by 12?
9
Suppose 5*k + 3*q = 274 + 6, 0 = 2*k - q - 123. Let p = k - 41. Calculate the remainder when 51 is divided by p.
15
Let v(x) = x**2 - x - 8. Suppose -2*l + l - 6 = 0. Calculate the remainder when v(7) is divided by (18/(-4))/(3/l).
7
Let l be 3 + 2*9/(-6) + -2. Let p(k) = 4*k**2 - k - 3. What is the remainder when 28 is divided by p(l)?
13
Suppose 3*s - 365 = 64. Suppose -151 = -6*o + s. What is the remainder when o is divided by 13?
10
Calculate the remainder when 43 is divided by (-15)/(-3) + 12 - 0/(-2).
9
Suppose -6*y + 5*y = 0. Suppose -2*j = -78 - 116. What is the remainder when j is divided by (y + -60)*2/(-6)?
17
What is the remainder when 67 is divided by 52/(-182) + (-121)/(-7)?
16
Let a = 48 - 45. Let k be (-2 - -4 - 2)/1. Suppose 5*r + k*r - 40 = 3*c, 0 = -4*r + c + 39. What is the remainder when r is divided by a?
2
Let d = -1392 + 2344. What is the remainder when ((-6)/4)/((-42)/d) is divided by 7?
6
Let q(l) = 13*l**3 - l**2 + 3*l. Calculate the remainder when 27 is divided by q(1).
12
Calculate the remainder when (192 - (2 - 14/7)) + 2 is divided by 5.
4
Let d be 70/(-2) + 21/(1 + -8). Let i = d + 136. Calculate the remainder when i is divided by 33.
32
Let f = -559 + 748. Calculate the remainder when f is divided by 38.
37
Suppose 0*m + 64 = 2*m. Let d(n) = 14*n + 231. Calculate the remainder when m is divided by d(-16).
4
Let y = 31 + -18. Let k = y - 13. Suppose 5*f + k*f - 329 = -i, 0 = 5*f + 3*i - 337. What is the remainder when f is divided by 17?
14
Calculate the remainder when (-3)/(18/20)*-75 is divided by 63.
61
Suppose l - 64 = v, -11*l = -6*l + 2*v - 320. What is the remainder when 186 is divided by l?
58
Let l be 2/(-6)*(-7 + -20). Let k(w) = 2*w**2 - 6*w - l*w**2 - w**3 - 2*w + 1. What is the remainder when k(-6) is divided by 4?
1
Let q = -52 - -112. Suppose -4*g = -g - q. Let r = 84 + -27. Calculate the remainder when r is divided by g.
17
What is the remainder when 448 is divided by ((-2772)/(-7))/4 - 8?
84
Suppose o + 2 = -x + 1, -4*o + 5*x = -5. Let v(w) = -5*w**2 + o*w - 3*w**3 + 3 + 0*w + 4*w**3 - 3*w. Calculate the remainder when v(6) is divided by 12.
9
Let j(z) = -z**3 + 9*z**2 + 22*z + 4. What is the remainder when 13 is divided by j(-2)?
1
Let u(d) = -d**2 + 9*d + 3. Let f be u(10). Let x(w) = 4*w**2 + 19. What is the remainder when x(f) is divided by 55?
50
Let f(p) = 24*p - 37. What is the remainder when f(4) is divided by 20?
19
Let v = 1737 + -870. What is the remainder when v is divided by 14?
13
Suppose 130 = 5*p - 5*z, -5*p - 5*z + 121 = -9. Let n = p - 21. Calculate the remainder when 6 is divided by n.
1
Let w = 874 + -863. What is the remainder when 20 is divided by w?
9
Let w(l) = 44*l**2 - 10*l + 20. What is the remainder when w(3) is divided by 30?
26
Let w = -1602 + 2187. What is the remainder when w is divided by 118?
113
Let j(d) = -5*d**2 - 1. Let h be j(1). Let a be (-8)/12 - h/9. Suppose a*m + 2*m = n - 45, -2*n + 65 = m. What is the remainder when n is divided by 13?
9
Let x(y) = 14*y**2 + y. Let q(o) = -2*o**2 - 49*o - 1. Calculate the remainder when q(-24) is divided by x(-1).
10
Let g be -6*5*4/5. What is the remainder when 124 is divided by (10/(-5))/(0 - (-3)/g)?
12
Let s = -11 - 4. What is the remainder when 41 is divided by (-3)/((-60)/(-16))*s?
5
Suppose 0 = -x - 0*x + 7. Suppose x*i + 33 = 10*i. Calculate the remainder when 32 is divided by i.
10
Suppose 2*h - 24 = -6*h. What is the remainder when h/1 + (-64)/(-4) is divided by 13?
6
Suppose -4*l - 2*v = -802, 4*v = -l + 27 + 191. What is the remainder when l is divided by 20?
18
Let f = -3 + 19. Let j = 23 - f. Suppose 105*q = 102*q + 75. Calculate the remainder when q is divided by j.
4
Suppose -3*f = -2*m - 2, 4*f + 7 + 2 = 5*m. Suppose -8*p + 4*p - 48 = -f*z, -4*p = z - 22. Calculate the remainder when 54 is divided by z.
12
Let i(a) = -2*a + 210. What is the remainder when i(-22) is divided by 117?
20
Let r = -21 - -12. Let o = 0 - r. Suppose m + 12 = -0*i + 3*i, 5*i + 2*m = 31. What is the remainder when o is divided by i?
4
Let s = 1251 + -1097. What is the remainder when s is divided by 60?
34
Let j(x) = -x**3 + 6*x**2 - 20. Let m be j(6). What is the remainder when 47 is divided by (2 + m/12)*42 - 0?
5
Calculate the remainder when (-5373)/108*-4*1 is divided by 87.
25
Let o = 246 + -224. Calculate the remainder when 153 is divided by o.
21
Let a = 420 + -278. Calculate the remainder when 554 is divided by a.
128
Let v(y) = y**3 + 14*y**2 - 4*y - 3. Let a be v(-10). Suppose -3*s = -9, -4*z - 2*s + a = -3*s. What is the remainder when z is divided by 37?
36
Suppose 2*l - 4*l = -5*l. Suppose l = -3*h + 132 + 24. Calculate the remainder when h is divided by 18.
16
Let z = -972 - -1193. What is the remainder when z is divided by 14?
11
Suppose 0 = q - 5*q + 28. Suppose -5*u = -q*u + 300. What is the remainder when u is divided by 38?
36
Suppose -2*d + 3 = -3*n + 4, 0 = n + 5*d - 23. What is the remainder when -1 + (0 - 0) + 22 is divided by (54/2)/n - -3?
9
Let u(t) = -t - 8. Let n be u(-11). Suppose 187 = z + 3*s, 3*s + 319 + 182 = n*z. What is the remainder when z is divided by 35?
32
Let d(i) = -26*i - 428. Calculate the remainder when d(-21) is divided by 15.
13
Suppose -2*b + 4 = 2. Suppose 3*c = -2*q + 16, 0 = -c - 5*q + 29 - 2. Suppose 2*j + c*j = 12. Calculate the remainder when j is divided by b.
0
Suppose 4*h = -4*v - 126 + 42, 4*h + 4 = 0. Let p = 75 + v. Calculate the remainder when p is divided by 20.
15
Let n be 6/14 + (-4683)/(-49). Let k = n + -37. Let x = k - 41. Calculate the remainder when 53 is divided by x.
17
Calculate the remainder when 6344/143 - 16/44 is divided by 27.
17
Let m(b) = 8*b + 17. Let x be m(-9). Let g = x - -82. Suppose 0 = -d + 4*d - g. Calculate the remainder when d is divided by 5.
4
Let f(m) = -32*m - 1. Let b = 33 + 86. Calculate the remainder when b is divided by f(-1).
26
Let m(c) be the second derivative of -11*c**3/6 - 18*c**2 + 19*c. Calculate the remainder when m(-6) is divided by 8.
6
Let v(k) be the second derivative of -k**5/20 + k**4/3 + 2*k**3/3 + k**2 - 4*k. Let i be v(-2). Let s = 29 - i. What is the remainder when 43 is divided by s?
10
Suppose -2*v + 12 + 20 = 0. Let h(s) = s - 9. Let d be h(12). Suppose -d*x + 90 = -0*m - 3*m, -150 = -5*x + 2*m. Calculate the remainder when x is divided by v.
14
Let z = 459 + -443. Suppose 4*g - 170 = -50. What is the remainder when g is divided by z?
14
Let g(t) = -25*t + 8. Let m(c) = 5*c + 27. Let p be m(-6). What is the remainder when g(p) is divided by 17?
15
Suppose 8*c - 4*c - 24 =