c - 34. Calculate the remainder when (-103)/(-5) - (-6)/15 is divided by j.
9
Suppose 4*t - 20 = 4*r, -2*t + 5 = -r - 6*t. Let q(z) = z**3 - 3*z**2 - 4*z + 6. What is the remainder when q(4) is divided by r*((32/(-20) - 0) + 1)?
0
Let q be (-3 + 6)/(6/8). Suppose -q*o = o - 15. Suppose -3*t + 3*x = -39, -x + 5 = t + 2. What is the remainder when t is divided by o?
2
Let r(b) = 9*b - 48. Calculate the remainder when 51 is divided by r(6).
3
Let y be (-3)/9*0 + 8/4. Suppose y*w + 0*w - 14 = 0. Calculate the remainder when 25 is divided by w.
4
Suppose 2*o = 4*o - 110. Let y be 4/(-9) + 8459/99. Let d = -66 + y. What is the remainder when o is divided by d?
17
Suppose -v - 210 = -6*v. Calculate the remainder when 293 is divided by v.
41
Suppose -3*v - 54 = -6*v. Suppose -38 - v = -f. Suppose -f = -7*b + 5*b. Calculate the remainder when b is divided by 10.
8
Let y(a) = -a**3 - 11*a**2 + 2*a - 29. What is the remainder when y(-12) is divided by 34?
23
Suppose -16 = -5*y - 3*b, -3*y + 5*b = -2*y - 20. What is the remainder when 1*(6 + -8)/((-4)/38) is divided by y?
4
Calculate the remainder when 117/(-22 - -9) - -146 is divided by 53.
31
Suppose 0 = -2*o + 4*z + 310, o - 4*z - 161 = z. Suppose 4 = -2*i, 3*f + o = 8*f - 3*i. What is the remainder when f is divided by 16?
13
Let o = -342 - -362. What is the remainder when 77 is divided by o?
17
Let i(r) = r**2 + 9. What is the remainder when i(12) is divided by 77?
76
Let y(x) = -x + 1. Let m be y(3). What is the remainder when 53 is divided by (-6 + 27)*m/(-3)?
11
Let t(l) = -l + 50. What is the remainder when t(-21) is divided by 9?
8
Let l be (-3)/(0 + 3/18). Let w = l - -41. Calculate the remainder when ((-3)/(-10))/(18/195)*28 is divided by w.
22
Let c(y) = -100*y + 75. What is the remainder when 336 is divided by c(0)?
36
Suppose 0 = -2*x + 4*r + 64, 2*x - 43 = -4*r + 53. Calculate the remainder when 212 is divided by x.
12
Let w(l) = -14*l**2 - 2. Let d be w(1). Let m = 19 - 4. What is the remainder when (36/d)/((-2)/24) is divided by m?
12
Let s be (0 - (-92)/(-20))*-5. Suppose -3*a + t + 35 = 0, 3*a - 4*t + 0*t - s = 0. Calculate the remainder when 76 is divided by a.
11
Suppose -5*s = l - 92, -2*s + 2 = -s. What is the remainder when l is divided by 14?
12
Let g = -424 - -454. Calculate the remainder when 236 is divided by g.
26
Suppose 6*r = 2*r - 2*m, -4*r - 4*m = 0. Suppose -180 = -r*t - 6*t. What is the remainder when t is divided by 17?
13
Suppose -79*w + 84*w + 300 = 0. What is the remainder when (w/(-9))/((-1)/(-3 - 0)) is divided by 8?
4
Calculate the remainder when 5724/26 + 6/(-39) is divided by 111.
109
What is the remainder when (78 - 75)/(3/59) is divided by 10?
9
Let s = -180 + 204. Calculate the remainder when 285 is divided by s.
21
Suppose -15*u + 900 = 21*u. Calculate the remainder when ((-50)/(-3) - 2)*3 is divided by u.
19
What is the remainder when 374 is divided by (-9)/(-27) + 140/3?
45
Suppose 5*u + 9 = -1. Let v be 8*(3/u)/(-3). Suppose -j = -3*a + 145, 3*j + v - 1 = 0. What is the remainder when a is divided by 25?
23
Suppose -4*y + 4*k + 252 = 0, -y = -4*k + 6*k - 54. Calculate the remainder when y is divided by 16.
12
Let g = -8 - -13. Let r(b) = -b**2 + 6*b - 6. Let n(z) = z**3 - 3*z**2 - 2*z - 4. Let d be n(4). What is the remainder when g is divided by r(d)?
1
Let a(l) = l**3 - l**2 + 4*l - 7. Suppose 4*h = -5*s + 8, -5*s + 0*h = 5*h - 5. Let w be (s/(-2) - -5) + 0. Calculate the remainder when 42 is divided by a(w).
19
Let q be (-3)/(-2)*(-1 - (-33)/9). Suppose -q*y = -2*y - 92. What is the remainder when y is divided by 16?
14
Let v = 6 + -3. What is the remainder when -8*(-1)/4 - -9 is divided by v?
2
Let t(p) = -p**2 - 3*p + 2. Let d be t(-4). Let x = d - -4. What is the remainder when (-105)/(-4) - x/8 is divided by 14?
12
Let w be (0 + 6/4)*-2. Let s(n) = -n**2 + 6*n. Calculate the remainder when (w/((-6)/(-76)))/(-2) is divided by s(5).
4
Let i = 77 - 61. Let u(v) = -v**3 - 7*v**2 - 8*v + 4. What is the remainder when u(-7) is divided by i?
12
Let a(t) = -2*t**2 + 77*t + 64. What is the remainder when a(34) is divided by 55?
40
Suppose -3*h + 391 = 5*n + 32, -15 = -5*h. Let p = 26 - 8. Calculate the remainder when n is divided by p.
16
Let m = -405 - -447. Calculate the remainder when m is divided by 34.
8
Suppose 0 = -5*b + 2*b - 4*c + 37, 0 = 5*c - 20. Calculate the remainder when 47 is divided by b.
5
Suppose 3*g - 1917 = -3*q, -2*g - 3*g + 15 = 0. What is the remainder when q is divided by 11?
9
What is the remainder when 658 is divided by (-448)/(1 - 9) - -10?
64
Suppose 0*g + g - 2 = 0. Let t be 4 - 0 - (4 - g). Suppose -10 + 2 = -t*p. Calculate the remainder when 9 is divided by p.
1
Suppose -9*g + 1029 = -357. What is the remainder when g is divided by 50?
4
Suppose 2*w - 3*i - 52 = -0*w, -i = -2*w + 60. What is the remainder when 124 is divided by w?
28
Suppose 5*r + 239 = -2*c, 4*r - 4*c + 99 = -109. Let a = r - 14. What is the remainder when a/(-3)*4/3 is divided by 15?
13
Suppose 186 = 5*n - 3*j, -2*n + 3*j + 87 = 6*j. Calculate the remainder when 362 is divided by n.
11
Let d(c) = -4*c - 16. Let b be d(-16). Let p = b + -35. Calculate the remainder when p is divided by 1.
0
Suppose 15*z + 60 = 17*z. Suppose 10*u - 15*u = -z. Calculate the remainder when u is divided by 1.
0
Suppose -4*g = -3*i - 133, 7*g - 5*g - i = 67. Suppose 71*r - 73*r + g = 0. Calculate the remainder when 60 is divided by r.
9
Let x = 237 - 137. Calculate the remainder when x is divided by 5 - ((-1 - 6) + -14).
22
Calculate the remainder when 93 is divided by 5 + (18/5)/(8/60).
29
Suppose 2*k - 5*n + 12 = 6*k, 3*k + 4*n = 9. Suppose -17 + 5 = k*c, 4*c = 5*m - 131. What is the remainder when m is divided by 13?
10
Let c be 22/(-4)*(-10 - -12). Calculate the remainder when (-1 - c)/(-5) + 47 is divided by 8.
5
Let q(j) = j**3 - 4*j**2 + 5. Let p be q(4). Suppose 13 = 3*f - p. Let s = 24 - 7. Calculate the remainder when s is divided by f.
5
Suppose -4*p - 5*b = -78, 4*p + 0*b - 70 = -b. Let i = 18 - 12. Calculate the remainder when p is divided by i.
5
Suppose 3 = n - 4. Suppose 18 = a + 3*u, 4*a - 4*u = -1 - n. Calculate the remainder when 13 is divided by a.
1
Suppose 4*a - 38 = 5*l + 54, 52 = 2*a - l. Suppose -7*w - a = -8*w. What is the remainder when w is divided by 3?
1
Let y(h) = 4*h - 2. Suppose -4*f + 4*q = 0, 2*f + q - 25 = -2*f. Calculate the remainder when y(6) is divided by (-106)/(-8) + f/(-20).
9
Let t be (7/2 - (-2)/4) + -1. Suppose v - 8 = -x, 3*x - 5*x = t*v - 19. Calculate the remainder when v is divided by 2.
1
Let n be 12/9*66/4. Suppose -5*a - 3*h + 203 = 0, 0 = -a + h - n + 61. Suppose a = 3*g + g. Calculate the remainder when 19 is divided by g.
9
Suppose 74*r - 66*r = 88. Calculate the remainder when 54 is divided by r.
10
Suppose -2*r + 19 + 19 = 0. What is the remainder when (-440)/(-6) - (-3)/(-9) is divided by r?
16
Let k(s) = -s**3 - 2*s**2 + 8*s + 12. Calculate the remainder when k(-6) is divided by 32.
12
Suppose -12*b + 3238 = 286. What is the remainder when b is divided by 77?
15
Suppose 1498 + 1933 = 47*k. Let o(w) = 11*w**2 - 2*w - 1. Calculate the remainder when k is divided by o(2).
34
Let s = -3595 - -3652. Let k = 12 + 21. Let f = k - 4. Calculate the remainder when s is divided by f.
28
Suppose 3*h - 5*o - 340 = 0, 0 = 2*h + 3*o - 4 - 191. What is the remainder when h is divided by 53?
52
Let r(y) = 16*y**2 - 5*y + 2. Calculate the remainder when 281 is divided by r(1).
8
Let v be (20/(-15))/(-2)*141. Suppose 78 + v = 4*i. Suppose -h - y + 18 = -8, -106 = -5*h + 3*y. What is the remainder when i is divided by h?
20
Calculate the remainder when 195 is divided by (1/(-3))/((-6923)/(-462) + -15).
19
Let t = 32 + -4. Let f(a) = -7*a + 19. Let o be f(6). Let b = o + t. What is the remainder when 8 is divided by b?
3
Calculate the remainder when 69 is divided by (-21)/(-2)*(-10)/(-3).
34
Let u(g) = -g**2 - 15*g - 25. Let s be u(-10). Let z = 56 - s. What is the remainder when 60 is divided by z?
29
Suppose -2*k + 99 = -5*d, 193 = 3*k + 4*d + 33. Suppose -4*m - k = -324. Let y = -6 + 29. Calculate the remainder when m is divided by y.
22
What is the remainder when (-910)/42*(-9)/3 is divided by 31?
3
Let d(k) = k**2 - 27*k + 157. Wh