. What is the remainder when f is divided by 84?
9
Suppose g + 4 = 0, 17*q - 20*q - 2*g + 52 = 0. What is the remainder when 76 is divided by q?
16
Suppose 3*y = y - 2*b + 16, 4*y + 13 = 5*b. Suppose 0 = 4*g - s - 83, y*g + 4*s = 5*s + 62. Calculate the remainder when 101 is divided by g.
17
What is the remainder when 235 is divided by ((-10530)/(-650))/((-26)/(-20) + -1)?
19
Let f(a) = a**3 - 5*a**2 + 11*a - 20. Calculate the remainder when f(5) is divided by 4.
3
Let a(b) = -5*b + 177. Calculate the remainder when a(24) is divided by 30.
27
Let b(w) = 31*w + 42. What is the remainder when 53 is divided by b(-1)?
9
Let c = 1799 + -940. Calculate the remainder when c is divided by 108.
103
Suppose -2*r + 124 = a, 64 - 20 = r + 5*a. Calculate the remainder when 565 is divided by r.
53
Suppose 3*w - 12 = 5*w - 3*c, 2*w = -2*c - 22. Let o(i) = -i**3 - 9*i**2 - 3*i - 2. Let j = -120 - -217. Calculate the remainder when j is divided by o(w).
22
Let n be (8/(-20))/((-1)/30). Suppose 2*d + 2*d - 12 = 0. What is the remainder when d + 1/(1/n) is divided by 9?
6
Let n(t) = -2*t**3 + 2*t**2 - t + 61. Let q be n(0). Let z = q - 57. What is the remainder when 9 is divided by z?
1
Suppose -4*v + 5*v = 12. Suppose -33 = -c - v. Let p = c + 25. What is the remainder when p is divided by 12?
10
Suppose 0 = 6*u - u + 25. Let k(n) = -n. Let h be k(u). Suppose -h - 1 = -y. Calculate the remainder when 9 is divided by y.
3
Let v(r) = 5*r**3 - 8*r**2 + r - 19. Let u(s) = -11*s**3 + 15*s**2 - 2*s + 39. Let a(t) = -4*u(t) - 9*v(t). What is the remainder when 21 is divided by a(12)?
0
Suppose 4*m - 2*q - 24 = 0, 0*m + 2*q = m - 9. Suppose -5*v - 7 = h - 25, -m*h + 27 = 4*v. Calculate the remainder when 9 is divided by 0 - (0 + v/(-1)).
0
Let q = -6 + 604. What is the remainder when q is divided by 60?
58
Suppose 0 = 22*x - 23*x + 30. Calculate the remainder when x is divided by 8.
6
Suppose 0 = -12*h + 7809 + 1551. Suppose -c + h = 4*y, 83 - 668 = -3*y + c. Calculate the remainder when y is divided by 28.
27
Suppose 0 = 5*g - 15, -c - 5*g + 18 + 188 = 0. What is the remainder when c is divided by 49?
44
Let v = 1 + 1. Suppose 5*k = -3*l - 2*l + 10, v*k + 2 = 0. Suppose 2*i = -l*i - 20, 3*a - 61 = 4*i. What is the remainder when a is divided by 9?
6
Let b = 21 + -10. Calculate the remainder when b is divided by ((-1)/(-2))/((-4)/(-56)).
4
Let i(z) = -z + 18. Let h be i(14). Suppose 5*r - 25 = 0, h*y = 3*r + 8 + 25. What is the remainder when 43 is divided by y?
7
Let l be -21*(16/(-6) + 0). Let b = 78 - l. What is the remainder when (33/22)/(3/128) is divided by b?
20
Let l = 58 + -40. Let f = 155 + -120. What is the remainder when f is divided by l?
17
Suppose -1272 + 414 = -3*w. Let n = w + -184. What is the remainder when 65 is divided by (8/(-12))/((-4)/n)?
14
Suppose 4*i = 8*i - d - 429, -i = d - 101. What is the remainder when i is divided by ((-16)/10)/(2/(-35) - 0)?
22
Let f be (-6)/39 - (0 + (-860)/13). Let z = f - 36. What is the remainder when 147 is divided by z?
27
Let o = -68 + 41. What is the remainder when (9/o)/((-2)/426) is divided by 38/2 - (-10)/(-10)?
17
Let m = -43 - -158. Suppose 35 - m = -5*q. Calculate the remainder when (104/6)/(-2)*-9 is divided by q.
14
Let t(o) = 2*o**3 + 11*o**2 - 74*o - 7. Calculate the remainder when t(-9) is divided by 34.
24
Let q = -90 - -96. Let n be -6*(0 - 2/4). Suppose 3*v + n*l - 81 = 0, q*l - l + 25 = 0. Calculate the remainder when v is divided by 17.
15
Calculate the remainder when (-4)/30 + 8781/45 is divided by 18.
15
Suppose 3*c + 2*y - 41 = 0, 10 = 3*c - 4*y - 7. Calculate the remainder when 42 is divided by c.
9
Let w(b) = b**3 + b**2 - 4*b - 14. Let q(j) = j**3 + 2*j**2 - 3*j - 13. Let o(k) = 6*q(k) - 5*w(k). What is the remainder when 42 is divided by o(-6)?
10
Let n(h) = 2*h + 13. Let l be n(-5). Suppose l*y = -3, -y + 134 = 4*v + y. What is the remainder when v is divided by 24?
10
Let h(a) = a**3 - 7*a**2 + 12*a + 7. Let r(b) = 8*b**2 + 4*b - 1. Calculate the remainder when r(3) is divided by h(5).
15
What is the remainder when (-69)/(-6)*(51 - 49) is divided by 17?
6
Let h(i) = 2*i**2 + 27*i + 64. Calculate the remainder when 106 is divided by h(-12).
22
Calculate the remainder when 185 is divided by (68/2 - -4) + 10.
41
Suppose 0 = 4*w - 4*t - 184, 866*w - 3*t = 868*w - 72. Suppose 3*v = -5*g + 1051, 2*g + 0*g + 4*v = 426. What is the remainder when g is divided by w?
41
Let c(o) = -4*o - 1. Suppose 62 = -6*h - 16. Calculate the remainder when c(h) is divided by 27.
24
Let v = -26 - 26. Calculate the remainder when 93 is divided by 418/13 + 8/v.
29
Suppose 296*k - 270 = 290*k. What is the remainder when 118 is divided by k?
28
Suppose 18*k - 1635 = 15*k. Calculate the remainder when k is divided by 39.
38
Let i(l) = -l**3 - l + 2. Let h = 0 + -3. Let x = 58 - 41. Calculate the remainder when i(h) is divided by x.
15
Suppose 2*n + 2*n + 4*w + 248 = 0, n + 78 = -5*w. Let i = -40 - n. Calculate the remainder when 104 is divided by i.
14
Suppose -2*p = -4, -5*p = -2*d + 114 - 40. What is the remainder when 220 is divided by d?
10
Let o be ((-12)/27*-3)/((-5)/(-30)). Calculate the remainder when 0/o - (-81 - 0) is divided by 21.
18
Suppose -2*m = -5*v + 79, -13*v + 3*m = -11*v - 25. Let o = 93 - 27. What is the remainder when o is divided by v?
15
Suppose 5*x + 41 = 1616. Calculate the remainder when x is divided by 40.
35
Let r(p) = -p + 63. Let w(t) = -t**3 - 20*t**2 + 18*t - 32. Let d be w(-21). Calculate the remainder when 55 is divided by r(d).
23
Suppose -2*x - 8 = 0, h - 3*x = 14 + 2. Suppose h*b = -3*l + 43, b + 2*b - 3 = l. What is the remainder when (-909)/(-21) + 2/(-7) is divided by l?
7
Let y(b) be the second derivative of b**4/3 + 2*b**3/3 - 3*b**2/2 + 2*b. What is the remainder when y(2) is divided by (-16)/3*(-2 + 10/20)?
5
Let y(q) = q**2 + 5*q - 2. Let j be y(-4). Let w(p) = p**3 + 6*p**2 - 2*p. Calculate the remainder when (12/(-16))/(12/(-368)) is divided by w(j).
11
Let c = 5 - 2. Suppose 2*m - 2*v - 44 = c*v, 3*m = v + 79. Suppose -66*k = -k - 455. Calculate the remainder when m is divided by k.
6
Let m(h) = -6*h + 6*h - 2*h**2 + 6*h + 0*h. Let n be m(-3). Let i = 66 + n. Calculate the remainder when 87 is divided by i.
27
Suppose -4*s = -3*l - 32, 0 = -7*l + 10*l. Let h(a) = 28*a**3 - a**2 + a. What is the remainder when h(1) is divided by s?
4
Let y be 1 - 0 - (13 + -15). Suppose 5*t - 42 = y*t. What is the remainder when 79 is divided by t?
16
What is the remainder when ((-12)/(-36))/((-1)/(-81)) + 3 is divided by 11?
8
Suppose -28 = -3*y + d + 4, 8 = 2*d. Calculate the remainder when 35 is divided by y.
11
Suppose -4*l + 4*o + 1102 = 3*o, 3*l - 4*o = 820. What is the remainder when l is divided by 31?
28
Let b = -1350 - -1353. Calculate the remainder when 4 is divided by b.
1
Let t = -2904 - -2909. What is the remainder when t is divided by 2?
1
Suppose -x + 640 = m, -2*m - 3*x = -4*m + 1285. Calculate the remainder when m is divided by 14.
11
Let r = 22 + -9. Let o be 238/8 + 14/56. Suppose -w = i - 4, -3*i - o = -w - 2*w. What is the remainder when r is divided by w?
6
Suppose -4*z + 0*z + 180 = 0. What is the remainder when z is divided by (-8)/(32/(-6))*24/9?
1
Suppose -4*o = -3*o + 19. Let z = o - -33. What is the remainder when 56/z - 17/(-1) is divided by 6?
3
Suppose -3*s + 2*s = -5*a + 83, -2*s - 13 = -a. Calculate the remainder when 31 is divided by a.
14
Let c(d) = 9*d**2 - d - 1. Let l be c(-1). Suppose -3*i - q + 19 = 0, l*i = 4*i + 5*q + 25. Suppose a + 60 = 5*a. What is the remainder when a is divided by i?
3
Suppose 3648 = -211*z + 217*z. What is the remainder when z is divided by 29?
28
Suppose -103*f + 198 = -100*f. What is the remainder when f is divided by 5?
1
Suppose -2*p + 2*i = -3*p + 47, 3*p - 135 = -4*i. Let s = p + -36. Calculate the remainder when 17 is divided by s.
2
Let k = -673 - -686. Calculate the remainder when 310 is divided by k.
11
Let d(t) = -t**3 - 15*t**2 - 15*t + 14. Let l be d(-14). Suppose s = 2*g + l, -g + 84 = 5*s + 3*g. What is the remainder when 56 is divided by s?
16
Suppose -5*n = 5*p - 21 - 24, 2*p - 2*n - 18 = 0. What is the remainder when 31 is divided by p?
4
Suppose 4*r + 527 = 5*q, 0 = 3*q + 6*r - 3*r - 300. Let i be