the remainder when i is divided by 8.
6
Suppose 3*d = -2*y + 35, 19*y + 12 = d + 20*y. What is the remainder when 394 is divided by d?
9
Let f(r) = -r**3 - 4*r**2 - 9*r - 1. Let b be f(-4). Suppose -2*t = -b - 33. Calculate the remainder when 133 is divided by t.
31
Let w(p) = -3*p - 64. Calculate the remainder when (-6 - -8)*(-166)/(-4) is divided by w(-31).
25
Let g = -6 + 9. Suppose 0 = -5*d, -2*z - 2*d = -g*d - 128. What is the remainder when z is divided by 22?
20
Let l be 1605/225 - 2/15. Suppose y - w = l, y + 4*w = -2*y + 49. Calculate the remainder when 21 is divided by y.
10
Let r(y) = 2*y**3 - 7*y**2 - 9*y - 2. Suppose -2*h = x - 10, 5*x - 3*h - 23 - 14 = 0. Calculate the remainder when r(5) is divided by x.
4
Suppose 20 = 5*z - 3*u + 3, 2*z + 5*u = -18. Let j(o) = -4*o - 4. Let i be j(-3). Let t = i - z. Calculate the remainder when 20 is divided by t.
6
Let k(t) = -3 - 11*t + 18*t - 12*t - 3. Let o = 8 + 5. Calculate the remainder when k(-6) is divided by o.
11
Suppose -20 = -4*w + 8. Let v(n) = 8*n - 23. Calculate the remainder when v(w) is divided by 5.
3
Let t = 304 + -268. What is the remainder when 125 is divided by t?
17
What is the remainder when 878 is divided by 5*(-44)/(-20)*5?
53
Let b = -133 - -166. What is the remainder when 82 is divided by b?
16
Let g = -409 + 444. Calculate the remainder when g is divided by 12.
11
What is the remainder when 82 is divided by ((-10)/12*-20)/(68/102)?
7
Suppose -d - 5*k = 70 + 6, -191 = 2*d - 3*k. Let a = -48 - d. What is the remainder when a is divided by 9?
7
Let q(v) = v**3 - 16*v**2 + 15*v + 10. Let c be (0 - 2)/(7 - 6). Calculate the remainder when 40 - (-2 + 2 - c) is divided by q(15).
8
Let b be (156/26)/(2/(-47) + 0). Let j = -83 - b. Calculate the remainder when j is divided by 20.
18
Let k = 158 - 153. Let s(t) = 25*t**3 - t**2. What is the remainder when s(1) is divided by k?
4
Let x be 15 + 2 + 0 + (-1 - 1). Suppose -88 = 4*t - x*t. Let l(w) = w**2 + 5*w + 5. What is the remainder when t is divided by l(-5)?
3
Suppose 4*c - 3*k + 42 = -15, -4*c - 5*k - 33 = 0. Calculate the remainder when 2*c*2/(-3) is divided by 1*(2 + 8 + -4).
4
Let k(z) = z**3 + 21*z**2 - 12*z + 16. Let g be k(-21). Let f = -30 + g. Calculate the remainder when f is divided by 40.
38
Suppose -5*z = -0 - 20. Let b(g) = -g + 4. Let n be b(2). Suppose -m - z = -n*m. What is the remainder when m is divided by 2?
0
Suppose 4 + 6 = 10*d. What is the remainder when ((-36)/(-30))/(d/25) is divided by 8?
6
Suppose -2*g + 3*g = 5*j - 19, 2*g + 8 = 4*j. Suppose g*i - i - 310 = 0. What is the remainder when i is divided by 13?
10
Suppose 7*q = -3*q + 1310. Calculate the remainder when q is divided by 63.
5
Let v = -465 - -608. Calculate the remainder when v is divided by 19.
10
Suppose -55 + 1 = -6*q. Let i(b) = 14*b - 8. What is the remainder when i(q) is divided by 24?
22
Let p = 35 + -11. Let o = -24 - -29. Calculate the remainder when o/15*(281 - -1) is divided by p.
22
Suppose 0 = 6*b + 417 - 1101. Let u = b + -50. What is the remainder when u is divided by 34?
30
Let x(q) = 8*q - 5. Let j(s) be the third derivative of s**5/60 - s**4/8 - 5*s**3/6 + 6*s**2. What is the remainder when x(7) is divided by j(6)?
12
Calculate the remainder when 25 is divided by 3 + -11 - (-30 + 5).
8
Let k = -2912 + 2929. What is the remainder when ((-134)/3)/(2/(-3)) is divided by k?
16
Suppose z = 68 - 45. Calculate the remainder when 148 is divided by z.
10
Let q(m) = 3*m**2 + 16*m - 65. What is the remainder when q(-16) is divided by 28?
27
Suppose -4*a - 5*w - 8 = 0, 2*a = -w - 2*w - 6. Suppose -77 = -a*y + 2*b, -y - 4*b = -3 - 4. Let l = -13 + y. What is the remainder when 39 is divided by l?
9
Calculate the remainder when (-762)/4*(-48)/(-252)*-7 is divided by 124.
6
What is the remainder when 437 is divided by 242/110*(-2 + 22)?
41
Let g(t) = t**3 - 6*t**2 + 7*t + 4. Calculate the remainder when 84 is divided by g(6).
38
Let l(f) = -f. Let q be l(3). Calculate the remainder when 47 is divided by (-4)/4*-3 - q.
5
Let u(d) = -13 - 4*d - d**2 - 13 + 24. Let m be u(-3). Calculate the remainder when 41 is divided by 17 - (4 + -2 + m).
13
Let w(f) = 4*f**3 + 2*f**2 - 3*f + 2. What is the remainder when w(2) is divided by 4/18 - 4806/(-243)?
16
Suppose 3*g - 198 = 3*v, 0 = 4*g - 0*g - 3*v - 261. Calculate the remainder when g is divided by 53.
10
Suppose -5*f + 89 - 14 = 0. Let u = f - 12. Suppose -24 = -w - u. What is the remainder when w is divided by 8?
5
Suppose 21 = 543*r - 540*r. What is the remainder when 68 is divided by r?
5
Let r = -220 + 252. What is the remainder when 43 is divided by r?
11
What is the remainder when (-16)/12*141/(-4) is divided by 11?
3
Suppose 0 = 4*w - m + 49 + 190, -4*w + 4*m - 224 = 0. Let d = 72 + w. What is the remainder when d is divided by 2?
1
Let s(t) = t - 1. Let w(l) = -9*l + 7. Let g(n) = 6*s(n) + w(n). Let h be g(3). Let u = h + 23. Calculate the remainder when u is divided by 6.
3
Let v = 1049 - 847. Calculate the remainder when v is divided by 30.
22
Suppose 3 = -3*w, -w = 2*q - 2*w + 83. Calculate the remainder when 82 is divided by (-7)/((-42)/(-18))*q/9.
12
Suppose 0 = -2*u - 343 - 89. Let d be -2 - (-3 + 1) - u. Calculate the remainder when 25 is divided by (-2)/5 - d/(-15).
11
Suppose -3*b - 240 = -5*g, 5*g - 341 = 5*b - 101. Let o be -1*85*(-2)/5. Suppose -4*i = -6*i + o. Calculate the remainder when g is divided by i.
14
Suppose -68 = -6*g + 1486. Suppose 2*r - 6*d = -d + 99, 5*r = d + g. Calculate the remainder when r is divided by 14.
10
Suppose 0 = 5*b + 90 + 25. Let o = -35 - b. Let c(a) = -a - 5. Calculate the remainder when c(o) is divided by 2.
1
Let u(g) = -2*g - 6. Let r be u(-5). Suppose 0 = 3*v + 3*c - 12, 5*v - r = 2*c - 12. Suppose -2*a = -v*a - 10. What is the remainder when 7 is divided by a?
2
Suppose 0*u - 4*l = -5*u + 739, 0 = 3*l + 3. Calculate the remainder when u is divided by 50.
47
Suppose 4*p + 41 = 273. Calculate the remainder when p is divided by (-143)/(-7) - (4 + 125/(-35)).
18
Let p(c) = 0 - 25 + 7 + 0 - 28*c. What is the remainder when p(-4) is divided by 19?
18
Let g(q) = -6*q - 5. Let s(x) = x**3 - 12*x**2 - 5. Let u be s(12). Let k be g(u). Suppose 20 = 3*m - k. What is the remainder when 41 is divided by m?
11
Suppose 7*u = 2*u + 15. Calculate the remainder when ((-72)/60)/(u/(-80)) is divided by 17.
15
What is the remainder when 92 is divided by 50 - ((-162)/9 - -11)?
35
Let n be (64/(-12) - 2)*3. Let d = 24 + n. Let t(r) = 2*r**3 + 3*r**2 - 4*r + 4. What is the remainder when 47 is divided by t(d)?
23
Suppose 8*m + 93 = 5*m. Let c = 41 + m. Calculate the remainder when 207/12 - 3/12 is divided by c.
7
Let d(i) = -i**2 - 15*i + 2. Let r(l) = l - 5. Let w be r(-9). What is the remainder when 46 is divided by d(w)?
14
Let p be (13 - (-8)/(-2)) + 1. Suppose -5*b + 65 = -p. Suppose -b = -0*r - r + v, -3*v + 67 = 4*r. What is the remainder when 44 is divided by r?
12
Suppose 62 = 3*r + 35. Let p(s) = 4*s**2 - 8*s + 6. Let v(m) = m**2. Let n(f) = p(f) - 3*v(f). Calculate the remainder when n(9) is divided by r.
6
Calculate the remainder when ((-1)/(-4))/(59/22420) is divided by 38.
19
Let k = -8 - -10. Suppose n = 5, -a + k*n - 3*n + 28 = 0. Suppose 3*r - 5*d - 24 = 20, 0 = r + 3*d - 10. Calculate the remainder when a is divided by r.
10
Let w(a) = -89*a**2 + 2*a + 1. Let z be w(-1). Let c = 236 + z. What is the remainder when c is divided by 50?
46
Let h(q) = 58*q + 1. Let n be h(-4). What is the remainder when (1/(-1))/(3/n) is divided by -3*(-9 + 2) + -1?
17
Let l(h) = 49*h**2 + 2. Calculate the remainder when l(1) is divided by 19.
13
Let u = 281 + -175. Suppose 2*q = -4*v + 20, v = -q - 4*v + 7. What is the remainder when u is divided by q?
10
Suppose 3*m - 363 - 53 = -5*p, 4*p + m = 337. Let v = p - 81. Calculate the remainder when 14 is divided by v.
2
Suppose -5*c + 49 = -2*t, 2*t - 14 = -c - c. Calculate the remainder when 1*53*(-25 - (-39 - -13)) is divided by c.
8
Suppose 255 = -5*y + 4*t, 2*t = 4*t. Let r = y - -78. What is the remainder when 78 is divided by r?
24
Suppose 0 = 4*d - 25 - 119. Suppose 6*b = 2*b + d. Calculate the remainder when 21 is divided by b.
3
Suppose 4*t - 5*r - 341 = 0, -4*r = -5*t - 262 + 686. Calculate the r