5
Suppose 4*k + 24 = -2*i, -5*k = 5*i + 9 + 66. Suppose 0 = -w - 3*u - 47, -u + 71 = -3*w + 4*u. Let p = i - w. What is the remainder when p is divided by 6?
2
Suppose -3*t + 2*t = -5*q + 290, q - 4*t - 58 = 0. Calculate the remainder when q is divided by 4/10 + 146/10.
13
Suppose -3*c + s + 0*s = -41, 2*s = -4*c + 58. Let x(a) = -50 + 97 - 2*a - a. Calculate the remainder when c is divided by x(14).
4
Let v be ((-475)/(-38))/(2/4). Calculate the remainder when 20/(3*3/27) is divided by 15/v + 306/15.
18
Suppose -16*x + 94 + 162 = 0. Suppose l + 4*q = -l + 16, 0 = 2*l + 2*q - 12. Calculate the remainder when x is divided by l.
0
Let x(k) be the first derivative of -k**2/2 + 23*k - 4. Calculate the remainder when 82 is divided by x(9).
12
Suppose -2*l = -l - 4. Let a(u) = u**2 - l*u - 1 + 9 - 5. What is the remainder when a(7) is divided by 13?
11
Let v(g) = g**3 - g**2 + 9*g - 11. Calculate the remainder when v(2) is divided by 9.
2
Let l = -1290 + 270. Calculate the remainder when 1*(l/(-5))/3 is divided by 19.
11
Suppose -191*q + 184*q + 210 = 0. What is the remainder when q is divided by 12?
6
Let f = 4836 - 2823. Calculate the remainder when f is divided by 9.
6
Let v = 68 - 8. What is the remainder when v is divided by 7?
4
Suppose -10 = -z + 7. Calculate the remainder when (z*6 + 2)/2 is divided by 15.
7
Let p = -133 + 224. Suppose -4*t = -t - 3, -4*o - 3*t + p = 0. Let k(n) = -n**3 + 6*n**2 + 6*n + 6. Calculate the remainder when k(6) is divided by o.
20
Let d(q) = q**2 - 4*q + 8. What is the remainder when d(6) is divided by 24*5/(-10)*-1?
8
Suppose -4*f - 10*p + 665 = -13*p, 5*f - 837 = -2*p. Calculate the remainder when f is divided by 42.
41
Let m = 1304 - 331. Suppose -262 + m = 3*f. Calculate the remainder when f is divided by 40.
37
Let x(u) = -u**2 + u. Let h be x(-1). Let n = h + 25. What is the remainder when n is divided by 15?
8
Suppose -f = -3*k + 1, -3*f - 2 - 1 = k. Let q(l) = -8*l**3 - l**2. Let y(m) = -m**3 + 6*m**2 + 10*m - 2. What is the remainder when y(7) is divided by q(f)?
5
Let d(o) = o + o - 4*o + 5*o + 6. Calculate the remainder when 52 is divided by d(4).
16
Let i = 14 + -44. Let o = -44 - -46. Calculate the remainder when ((-684)/i)/(o/5) is divided by 20.
17
Suppose -c + 3*c - 2*v = 62, 0 = 4*c + 2*v - 130. Suppose -28*y - 68 = -c*y. What is the remainder when 99 is divided by y?
14
Let p(x) = 18*x. Let y be p(4). Suppose -y = -11*k + 269. Calculate the remainder when k is divided by 16.
15
Let n be (12/(-14))/2 + 305/(-7). Let p = n + 61. What is the remainder when 61 is divided by p?
10
Let y(x) = -5*x - 14. What is the remainder when 50 is divided by y(-6)?
2
Let j = -311 + 482. What is the remainder when j is divided by 43?
42
Let l(b) = b**3 + 10*b**2 - 2*b - 16. Let w be l(-10). Suppose -s - 30 = -3*c, 0*c + 33 = w*c + s. Calculate the remainder when 15 is divided by c.
6
Let i(y) = 5*y**3 + 1. Let p(a) = 4*a**3 - a**2. Let l be p(1). Suppose 81 = l*s - 3*h - 0*h, -5*h - 43 = -s. Calculate the remainder when s is divided by i(1).
5
Suppose 20*v - 472 = -4*z + 16*v, -v + 570 = 5*z. Calculate the remainder when z is divided by 17.
11
Suppose -3*f = -8 - 115. Suppose 4*j - 13*j = -4347. Suppose 13*r = 16*r - j. Calculate the remainder when r is divided by f.
38
Let b be (6/5)/(10/(-25)). Suppose -10 = 2*q + 3*q. What is the remainder when 49 is divided by 16 + (3 + q)*b?
10
Let t = -49 - -53. Suppose 4*a = -5*d + 385, t*d - 2*a - 167 = 167. What is the remainder when d is divided by 12?
9
Suppose -27*n = -25*n - 44. What is the remainder when n is divided by 12?
10
Suppose -2*t = -5*x - 21, 5*t - 1 - 2 = -4*x. Suppose 177*k + 224 = 184*k. What is the remainder when k is divided by 36/t + (-2)/2?
10
Suppose 0 = 4*k - 3*q - 329, 3*q + q = 2*k - 172. Let a = 31 - k. Let s = a - -91. Calculate the remainder when s is divided by 15.
12
Let d = -1305 + 1343. Let x = -30 - -43. Calculate the remainder when d is divided by x.
12
Calculate the remainder when 9 is divided by -2 + -6 - -13 - -4.
0
Let n be (-3 - -10) + (-2 - -1). Let l be ((-4)/n)/(16/(-960)). Suppose t - 5*p = -9 + l, -2*p = -4*t + 160. What is the remainder when t is divided by 14?
13
Let a = -2 + 9. Let u(b) = -5*b - 13. Let r be u(-13). Calculate the remainder when a is divided by (-8)/(-28) + r/14.
3
Let m = 398 + -353. Calculate the remainder when 165 is divided by m.
30
Let x(k) = 8*k - 19. Let v be x(9). Let n be ((-2)/(-2))/(6/12). Suppose v = n*z + 19. What is the remainder when 67 is divided by z?
16
Let b(a) = 79*a + 22*a**2 + a**3 - 52*a + 13 - 5*a**2. What is the remainder when b(-15) is divided by 30?
28
Let k = 0 - -1. Let r be ((-60)/48)/(k/(-4)). Suppose -r*w - 5 = -35. What is the remainder when 15 is divided by w?
3
Suppose -b = 3, -2*u = -b + 6*b - 265. Suppose 4*w - u = -w. What is the remainder when w is divided by 10?
8
Let c(g) = 9*g**2 - 4*g**2 + 2*g - 3*g**2 - 17*g**3. Let k = -10 + 9. What is the remainder when 32 is divided by c(k)?
15
Suppose 13 + 8 = -7*k. What is the remainder when 77 is divided by -5*k/15 + 20?
14
Suppose 3*x - 9*x - 186 = 0. Let s = 33 + x. Calculate the remainder when s is divided by ((-4)/6)/(6/(-9)).
0
Suppose -2*y = 10, -4*j - y = 2*y - 269. Let w(q) = 2*q**2 + 9*q + 7. Suppose 0 = 12*n - 9*n + 18. Calculate the remainder when j is divided by w(n).
21
Suppose 4*g - i - i = 8, i - 2 = 0. Suppose -4*n + g*n = -2. Let w = n + 13. Calculate the remainder when 44 is divided by w.
14
Let s = 21 - 16. Suppose -s*q = 5*f - 310, 3*q - 4*q + 66 = -3*f. What is the remainder when q is divided by 16?
15
Suppose 2*y + 9 = 3*y. Calculate the remainder when y is divided by 2.
1
Suppose -4*h - x - x + 680 = 0, 2*h = 3*x + 340. Calculate the remainder when h is divided by 43.
41
Let n be 5/2*256/40. Suppose 0 = -4*x - n, 0 = -t - 2*t + 3*x + 21. What is the remainder when 6 is divided by t?
0
Suppose 19 + 36 = r. Let w be 27/5 - 22/r. What is the remainder when 39 is divided by w + 1 - (3 + -7)?
9
Let y(a) = 5*a**2 + 4*a - 8. Suppose -o + 5*k + 23 = -0*o, 5*k = -20. Calculate the remainder when 194 is divided by y(o).
47
Suppose -3*x + 5*a - 11 = -58, -140 = -5*x - 4*a. What is the remainder when 213 is divided by x?
21
Let z = -15 + 40. Calculate the remainder when z is divided by 6 - (-98)/(-7) - -16.
1
Let x(t) = -t**2 - 7*t - 4. Let h be x(-5). Let j(p) = 6*p - 8. Let s be j(h). Let l = 30 - s. What is the remainder when 2 is divided by l?
0
Let w(y) = y + 8. Let z be w(-7). Let n be 10 - (-2 + z - 1). What is the remainder when 17 is divided by (-20)/(-6)*n/8?
2
Let z(h) = 3*h**2 + 4*h - 14. Let b be z(3). Suppose 0 = -2*f - b + 41. What is the remainder when 22 is divided by f?
6
Suppose c - a = -2*c + 163, 2*a - 214 = -4*c. Let k = 96 - c. What is the remainder when 249 is divided by k?
39
Suppose -4*l - 12 = 0, 0 = -5*j - l - 0*l - 893. Let f = 124 + j. What is the remainder when 33 is divided by ((-6)/(-9))/((-3)/f)?
9
Let s = -154 - -167. What is the remainder when 32 is divided by s?
6
Let f = -969 - -1246. What is the remainder when f is divided by 35?
32
Suppose 3*s = 1243 - 418. What is the remainder when s is divided by 133?
9
Let h(i) = 4*i**3 - i + 7. Let a be h(3). Suppose 0*r + 4*r = a. What is the remainder when r is divided by 8?
4
Calculate the remainder when 748 is divided by 36/60*(-25)/(-3).
3
Let x(l) be the first derivative of -l**3/3 - 5*l**2/2 - 5*l - 2. Let a be x(-4). What is the remainder when 7 is divided by (16/56)/(a/(-7))?
1
Let d(g) = g**3 + 14*g**2 + g + 18. Suppose -54*m = -52*m + 28. Calculate the remainder when d(m) is divided by 3.
1
Calculate the remainder when 5 is divided by 31/8 - (92/32 + -3).
1
Let c = -1385 - -1430. Calculate the remainder when 1214 is divided by c.
44
Let h(s) = 18*s - 150. Calculate the remainder when 208 is divided by h(10).
28
Calculate the remainder when (-4)/(12/(-477)) - (2 - 8) is divided by 38.
13
Suppose 3*d + d + 16 = 0, -d = 3*b - 179. Let g = -4 + b. What is the remainder when g is divided by 16?
9
Suppose 0 = -4*q - 5*l - 240, 7*l - 4*l = 2*q + 98. Let r = 108 + q. What is the remainder when r is divided by 11?
9
Suppose 63*o + 940 = 68*o. Calculate the remainder when o is divided by 63.
62
Suppose 3*r - 2*m = 1389, -8*r = -10*r