t = -3*t - f*n + 25. What is the remainder when t is divided by g(8)?
1
Let q(b) = -6*b - 21. What is the remainder when 25 is divided by q(-5)?
7
Calculate the remainder when 207 is divided by (-21)/(-1) + (-240)/(-48).
25
Let u be (3*(-8)/36)/((-1)/15). What is the remainder when 9 is divided by 30/3*4/u?
1
Suppose -2 = 5*j - 4*h, 0*j - 3*h = -j - 7. Let y = 3 + -5. Let a = j - y. What is the remainder when 13 is divided by a?
1
Suppose 2*d = -5*w - 0*w + 452, d - 232 = -4*w. Calculate the remainder when 36 is divided by 4/22 - d/(-22).
6
Let v = 0 + 6. Suppose -2*k + 2*k = -2*k. Suppose -3*j = -h + 46, k = 4*h + 3*j + 2*j - 150. Calculate the remainder when h is divided by v.
4
Let n(q) = -q. Let k = 18 + -17. Let h(o) = 2*o**3 - 4*o**2 + 4*o + 3. Let t(j) = k*h(j) + 3*n(j). Calculate the remainder when 8 is divided by t(2).
3
Suppose -4*b + 40 = 4*t, -2*t - 3*b = -4*b - 5. Suppose -t*u - 4*c = -51, -c - 24 = -5*u + 32. What is the remainder when 20 is divided by u?
9
Let w be (-41)/13 + 6/39. Let h be (-12 - w)/3 + -12. What is the remainder when (-2)/(-6) - 205/h is divided by 3?
2
Let p be (-1)/(-3) + (-84)/36. Let o be (-3)/p*(3 + -1). Let i = 3 + o. Calculate the remainder when 22 is divided by i.
4
Suppose -876 = 35*b - 47*b. What is the remainder when b is divided by 3*4/(-12) + 20?
16
Let x(j) = 2*j - 1. Let z be (2 - 34/8)*-8 + -3. Suppose -4*r - 402 = -4*l + 62, 0 = 2*l + 4*r - 226. Calculate the remainder when l is divided by x(z).
28
Let y(a) be the second derivative of -a**5/20 - 7*a**4/12 + 4*a**3/3 + 4*a**2 - 6*a. Calculate the remainder when y(-9) is divided by 25.
23
Calculate the remainder when 212 is divided by (1032/774)/((8/(-630))/(-1)).
2
Suppose 47*n - 1448 - 808 = 0. What is the remainder when n is divided by 43?
5
Let l = 7 + 13. Suppose -17 = 2*d - 129. Calculate the remainder when d is divided by l.
16
Let c be 11/(-3) + -6 + 1/(-3). Let j(t) = t + 3. Calculate the remainder when 1/(-2) + ((-115)/c - -2) is divided by j(4).
6
Let g = -901 - -914. What is the remainder when 336 is divided by g?
11
Suppose 4*j - 3*w + 47 = 0, -w + 48 = -3*j - 3*w. Let c = -51 - j. Let g = c - -62. What is the remainder when g is divided by 7?
4
Let g(u) = u**2 + 5*u - 15. Calculate the remainder when 81 is divided by g(-8).
0
Suppose -g - 3*g = 144. Let f = g + 60. Let a = -145 + 240. Calculate the remainder when a is divided by f.
23
Suppose 173 = 4*s - 2*y - 33, -y + 109 = 2*s. What is the remainder when s is divided by 12?
5
Let n = -726 - -729. Calculate the remainder when 105 is divided by n.
0
What is the remainder when 51 is divided by 2860/100 + (-1 - (-2)/5)?
23
Let z(k) = k - 2. Let a = 196 - 187. Suppose -4*o + 59 = -3*r - 11, 2*o - 44 = -3*r. What is the remainder when o is divided by z(a)?
5
Let j(x) = x**2 + 5*x - 10. Suppose -2*z + 36*h - 31*h = -21, 0 = z + h - 21. What is the remainder when z is divided by j(-7)?
2
Let k(t) = -t - 4. Let m be k(-7). Suppose 5*p + m*q = 2*q + 89, -5*p = 4*q - 86. What is the remainder when p is divided by 7?
4
Let v(f) = f**3 - 4*f**2 - 16*f + 2. Suppose -5*r = -62 + 22. Calculate the remainder when v(r) is divided by 44.
42
Let d = 69 - 59. Suppose -x = -14 - 21. What is the remainder when x is divided by d?
5
Let p = -52 - -114. Suppose -l = -z - 52, 2*l - 78 = 4*z + 22. Suppose 12 = -2*a + l. What is the remainder when p is divided by a?
20
Let m = 640 + -488. Calculate the remainder when m is divided by 22.
20
Let p(f) = f**2 + 2*f - 16. Let d = -1 - -22. Calculate the remainder when d is divided by p(4).
5
Suppose 5*d - 84 = d. Calculate the remainder when 40 is divided by d.
19
Let d(q) = -q**2 + 14*q + 67. Calculate the remainder when d(14) is divided by 37.
30
Suppose 187*h = 190*h - 99. What is the remainder when h is divided by -12*(1/4 + -1)?
6
Let w be (-108)/26 - (-18)/117. Let r be (-4)/(w/(-2))*5. What is the remainder when (14/(-5))/(2/r) is divided by 5?
4
Suppose -8253 = -81*s + 18*s. Calculate the remainder when s is divided by 61.
9
Let t = -6 - 3. Let r = t - -11. Suppose -r*k + 23 = -k. Calculate the remainder when 91 is divided by k.
22
Let o = 13 - 22. Let h be (12/9)/((-2)/o). Let a(b) = b**2 - 5*b - 2. What is the remainder when 14 is divided by a(h)?
2
Calculate the remainder when 215 is divided by -9*(-5 + (0 + 2)*2).
8
Calculate the remainder when 12/20 - 708/(-20) is divided by 14.
8
Suppose 1 = 5*w - 9. Suppose -4*s = 4*t - 80, -w*s + 7 - 27 = -2*t. What is the remainder when 28 is divided by t?
13
Let k = 19 - 16. Suppose 4*i = -k*i + 84. Calculate the remainder when (-4)/(-24) - (-274)/12 is divided by i.
11
Suppose 2*h = -h + 15. Let z(v) = -v - 12. Let o be z(-11). Let f = h - o. What is the remainder when 17 is divided by f?
5
Suppose n + l + 191 = 6*n, -172 = -4*n - 4*l. Let f = 181 + -160. What is the remainder when n is divided by f?
18
Calculate the remainder when 297 is divided by (-8)/(-20)*(189 + (-1)/(-1)).
69
Suppose -7*z + 16 = -3*z. Suppose -z*m + 360 = 2*b, -b - 5*m = -m - 180. What is the remainder when b is divided by 26?
24
Suppose -4*l - 93 + 21 = 0. Let y be l/(-12) + (-15)/(-6). Calculate the remainder when 8 is divided by 13/3 + y/6.
3
Let g be -14 + 2 + 0 + -2. Let y = g + 30. What is the remainder when y is divided by 10?
6
Let n = 15 + 3. Suppose -2*x + n = -106. Calculate the remainder when x is divided by 32.
30
Let o = 5 - 12. Let t(d) = -d**2 - 6*d + 14. Let w(x) = x + 17. What is the remainder when w(0) is divided by t(o)?
3
Suppose -q + 332 = 27*b - 25*b, 3*b - 2*q = 498. What is the remainder when b is divided by 114?
52
Suppose -q + 144 = 2*v - 49, 5*q = v - 80. Calculate the remainder when v is divided by 30.
5
Suppose -6*j - 10*j + 1328 = 0. Calculate the remainder when j is divided by 17.
15
Let o = 40 - 58. Calculate the remainder when o/(-6)*32/3 + 3 is divided by 18.
17
Suppose 7*p = 3*p + 280. Let a = 95 + -56. What is the remainder when a is divided by (20/(-50))/((-2)/p)?
11
Let t(v) = 2*v**2 - 8*v + 3. Let j be ((-80)/(-2))/2*(-10 - -12). Suppose 5*s = q - j, 2*s - 13 - 52 = -5*q. What is the remainder when t(6) is divided by q?
12
Let g(q) = 31*q - 227. What is the remainder when g(9) is divided by 27?
25
Suppose -4*h + 2*q + 67 = 5, -4*q = -4. Calculate the remainder when h is divided by 256/40 + (-3)/(-30)*6.
2
Let c be ((-15)/(-9))/((-8)/168). Suppose -3*y + 60 = -87. Let p = y + c. Calculate the remainder when p is divided by 8.
6
Suppose -9 = 11*l - 14*l, -o = -3*l - 283. What is the remainder when o is divided by 27?
22
Let f be 2*((-154)/4 - 6/2). Let s = 133 + f. Suppose -3*l - l = -108. What is the remainder when s is divided by l?
23
Let f = -82 - -86. Suppose y - 2*x - 64 = -y, -4*x = -f. Let b(l) = 10*l**3 - l**2 + l - 1. What is the remainder when y is divided by b(1)?
6
Let n = 28 + -19. What is the remainder when 33 is divided by n?
6
Let i(j) = -j**3 + j**2 + 2. Let c be i(0). Let w(n) = 4*n**2 + 3*n + 3. Calculate the remainder when w(c) is divided by 18.
7
Suppose -8*w = 46*w - 35370. Calculate the remainder when w is divided by 14.
11
Let d(t) = 82*t + 20. What is the remainder when d(3) is divided by 85?
11
Let i(p) = 18*p**2 + 16*p + 40. Calculate the remainder when i(-3) is divided by 79.
75
Suppose -1099 = -5*j - 2*j. What is the remainder when j is divided by 100?
57
Let a(f) = 4*f + 2*f - 4*f + 2*f + 9 + 8*f**2. What is the remainder when a(-3) is divided by 36?
33
Suppose 0 = 4*q + o - 755 - 847, 5*o + 411 = q. Calculate the remainder when q is divided by 13.
11
Let o(x) = 14*x - 2. Calculate the remainder when o(4) is divided by 26/2 - 4/(16/(-4)).
12
Let c = -280 + 340. What is the remainder when c is divided by 52?
8
Suppose 48*d - 52*d - 3*u + 1075 = 0, 3*u = -5*d + 1343. What is the remainder when d is divided by 42?
16
Let y = 243 + -207. What is the remainder when 319 is divided by y?
31
Let u(r) = 64*r - 5. Let k be u(-2). What is the remainder when 38/k - (-170)/7 is divided by 3?
0
Suppose -299 = -5*u + 2*f, -3*u + 4*f - 256 = -7*u. Suppose -19 = -2*n + u. Suppose 2*w + n = 6*w. What is the remainder when w is divided by 3?
1
Suppose 2*d - 54 = 5*i + 37, 0 = -3*d + 2*i + 164. What is the remainder when 1390 is divided by d?
56
Suppose 2*m = -0*m - 4*a + 22, 0 = m + 3