, 25 = -5*s. Suppose -2*f + 31 + 15 = 0. Calculate the remainder when (r*-3 + (-75)/(-10))*20 is divided by f.
21
Calculate the remainder when 2/7 + 8*(-28407)/(-952) is divided by 24.
23
Let w = 24 - 17. Suppose 4*a = w + 5, 0 = d - 3*a - 32. Calculate the remainder when d is divided by 14.
13
Let g be -4 + (-1 - -5)*(1 + -2). Calculate the remainder when 14 is divided by ((-10)/(-4))/(g*7/(-112)).
4
Suppose -k - 2*p = -8, -5*k - 4*p - 6 + 16 = 0. Let i be k - 0*3/(-9). What is the remainder when 42 is divided by (-1)/i + (-42)/(-4)?
9
Let l(f) = -2*f - 14. Let m = 263 - 153. What is the remainder when m is divided by l(-14)?
12
Let h(p) = -p**3 - 2*p**2 + 3*p - 3. Let k be h(-3). What is the remainder when 1/(1/(-69)*k) is divided by 8?
7
Let y = 28 - 27. Let a be (-6)/(-4) + 12/(-24). What is the remainder when (2/(-8))/(a/(-4)) is divided by y?
0
Let i be (3/(-2))/(-1)*8/6. Suppose i*h - 41 = 3*u, -5*h + 78 = -4*u - 42. Calculate the remainder when h is divided by 24/(-10)*30/(-9).
4
Let y = 63 + -60. Suppose 45 = y*q + 6*q. Calculate the remainder when 57 is divided by q.
2
Let o be (-15)/(-10)*(-32)/(-6). Suppose o = 5*u - u. Suppose 65 = 5*l - 5*j, 0 = -u*l + j + 28 - 1. Calculate the remainder when l is divided by 4.
2
Suppose -u = -35 - 80. Suppose -3*z - 13 = -u. Let h(m) = m**3 + 10*m**2 + 2*m. What is the remainder when h(-7) is divided by z?
31
Let v = -32 - -54. Let z(h) = h**2 + 10*h - 7. Let r be z(-10). Let l = 16 + r. What is the remainder when v is divided by l?
4
Calculate the remainder when 60 is divided by ((-6)/8 - 39/12) + 37.
27
Suppose 0 = -b + 5*g + 39, -5*b - 2*g + 195 = -6*g. Calculate the remainder when ((-2)/3 - 690/(-9)) + -1 is divided by b.
36
Let v(i) = 124*i - 2. Let o be v(-6). What is the remainder when o/(-10) + (-6)/(-15) is divided by 4/(-6) + (-3927)/(-99)?
36
Suppose -25*g = 11*g - 2052. Calculate the remainder when 90 is divided by g.
33
Let s = 81 - 3. What is the remainder when s is divided by 27?
24
Let w = -35 - -56. Let v(o) = 0 + 8*o + 8 + 2*o**2 - 11. What is the remainder when v(3) is divided by w?
18
Let o(m) = -m - 3. Let f be o(-8). Suppose -4*b = p + 10, 2 = -2*p - f*b - 9. Suppose -p*j = -21 - 1. What is the remainder when j is divided by 4?
3
Let g be (-4)/10 - 340/25. Let x(p) = -11*p - 14. Calculate the remainder when x(g) is divided by 29.
24
What is the remainder when ((-3)/4)/(-15*(-12)/(-13920)) is divided by (3 - 45/12)*-16?
10
Suppose 2*t - 2*a = -222, -4*a - 199 = 5*t + 374. Let m = -68 - t. What is the remainder when m is divided by 16?
13
Suppose -5*a - 200 = -13*a. Let m = a - 19. What is the remainder when 17 is divided by m?
5
Suppose -105*u - 252 = -109*u. Suppose 110 = 14*z - 9*z. What is the remainder when u is divided by z?
19
Let d(r) = -r**3 + 16*r**2 + 41*r - 5. Let w = 9 - -13. Calculate the remainder when d(18) is divided by w.
19
Let a(g) = -3*g**2 - 8*g + 13. What is the remainder when 65 is divided by a(-3)?
5
Suppose -3*t - 22 = -4*t + 2*i, 0 = -4*t - 3*i + 44. Calculate the remainder when 16 is divided by t.
2
Let i = 688 + -641. What is the remainder when i is divided by 16?
15
Suppose t + 7*t - 32 = 0. Suppose t*d + p - 48 = 0, 2*d + p - 34 = -2*p. What is the remainder when 62 is divided by d?
7
Suppose -5*g = 3*k - 0*g - 476, -g - 148 = -k. Calculate the remainder when k is divided by 52.
48
Suppose o - 2022 + 659 = -5*d, -2*d - 3*o + 553 = 0. Suppose -72 = 5*g - d. Calculate the remainder when g is divided by 11.
7
Suppose b = -4*d + 2*b + 15, 3*d + 5*b - 40 = 0. What is the remainder when 29 is divided by d?
4
Suppose 15*s - 757 - 2333 = 0. Calculate the remainder when s is divided by 26.
24
Calculate the remainder when 0 + 11 + 11 + 12 is divided by 5.
4
Let j = 47 + -11. Let a(k) = -2*k + 23. What is the remainder when j is divided by a(5)?
10
Suppose -5*v = -14 - 301. Let a = -1456 + 1473. What is the remainder when v is divided by a?
12
Let h = 25 + -23. Suppose 86 = 3*b - d, 0 = b - h*d + 4*d - 31. What is the remainder when b is divided by 8?
5
Let q = -777 - -850. Suppose -x - v = -3*x + 33, 0 = -2*x + 4*v + 18. Calculate the remainder when q is divided by x.
16
Let m = 24 + -18. What is the remainder when 33 is divided by m?
3
Suppose -3*a + 170 = -a. Let p = -44 + a. What is the remainder when p is divided by ((-63)/12)/(1/(-4))?
20
Let v be ((-470)/15)/(4/6). Let i = -44 - v. Calculate the remainder when i is divided by (-4)/(-3)*6/4.
1
Let z(d) = -d**2 - 5*d + 2. Let x be z(-5). Suppose 0 = 5*u - 2*f - 14, 0 = -u - 3*f - f - 6. What is the remainder when u is divided by 1*x/(-6)*-3?
0
Suppose 1340 = 5*w + 5*w. What is the remainder when w is divided by 40?
14
Let c be 2*7*20/70. What is the remainder when 27 is divided by (21 - 8/c) + -4?
12
Suppose 3*y - 13*y + 270 = 0. Calculate the remainder when 39 is divided by y.
12
Suppose -d - 4 = 0, 176 = g - 5*d - 225. What is the remainder when g is divided by 11?
7
Let k = 287 - 249. What is the remainder when k is divided by 21?
17
Let j = -19 + 27. Suppose -28 = -k + 2*h, 4*k - 34 = -h + 123. What is the remainder when k is divided by j?
6
Let p = 1872 - 1257. What is the remainder when p is divided by 44?
43
Suppose 18 = -a - 5*z, a + 18 - 2 = -3*z. Suppose -24 = 3*p + 3. Let h = p - a. What is the remainder when 8 is divided by h?
0
Suppose 0 = -7*g + 23*g - 1296. Calculate the remainder when 323 is divided by g.
80
Suppose -3*r - r = 24. Let u(w) = -w**3 - 5*w**2 - 9*w - 1. What is the remainder when u(r) is divided by 13?
11
Let g = 245 - 141. What is the remainder when g is divided by 37?
30
Suppose 3*y - 2*y = 0. Let f be (0 - -14)/(y - -2). Suppose 0 = -4*n + 9 + f. Calculate the remainder when 5 is divided by n.
1
Suppose 6 = 3*o + f, -2*o = -5*o + 5*f + 6. Suppose 7*z - o*z = 10. Calculate the remainder when z is divided by 2.
0
Let h(z) = -2*z**3 - 15*z**2 - 4*z + 23. Let s be h(-7). Suppose 3*l - 61 = 4*n, 0 = l + 3*n - s*n - 18. What is the remainder when 130 is divided by l?
16
Let y(z) = -z**3 + z**2 + z + 1. Let f(q) = q**2 + 2*q + 76. Let c(a) = f(a) - y(a). What is the remainder when c(0) is divided by 13?
10
Suppose g - 5*p - 19 = 0, 5*g + 50*p - 95 = 46*p. Calculate the remainder when 29 is divided by g.
10
Let p = -486 + 521. What is the remainder when p is divided by 9?
8
Suppose 21 = 5*c - 0*b + b, -9 = -5*c - 4*b. Suppose c*m = 9*m - 20. Calculate the remainder when 12 is divided by m.
2
What is the remainder when 3/(-4) - 29155/(-196) is divided by 47?
7
Suppose -2*g + 541 = q, 2*q + 370 = 2*g - 168. Calculate the remainder when g is divided by 75.
45
Let d(i) = 4*i**2 - 2*i + 2. Let q be 20/(-10) - (1 + 23). Let t = 41 + q. Calculate the remainder when d(-3) is divided by t.
14
Let f(v) = v**2 - 16*v - 64. What is the remainder when f(29) is divided by 127?
59
Let k be -41*10/(-6) - (-2)/3. Let m = 145 - k. What is the remainder when m is divided by 39?
37
Suppose -20 = 5*u, 5*v - 12 + 0 = -2*u. What is the remainder when 6 is divided by v?
2
Let r(n) be the second derivative of -n**4/12 - 5*n**3/3 - 7*n**2/2 + 3*n. Suppose 3*h = 3 + 6. What is the remainder when r(-8) is divided by h?
0
Let w = -5 + 9. Let z = -12 - -21. Suppose d - z = -t, -3*d - 1 = -4*t - 7. What is the remainder when d is divided by w?
2
Let u = 1198 - 1134. Let k = 18 - 5. What is the remainder when u is divided by k?
12
Suppose 13*p - 16*p = -4*c + 100, 4*p + 100 = 4*c. Suppose 5*i - 191 - 44 = 0. Calculate the remainder when i is divided by c.
22
Suppose -7*g = -13*g + 288. What is the remainder when 142 is divided by g?
46
Suppose 5*s + 3*d - 92 = 67, d + 87 = 3*s. Suppose 0*o - 22 = -2*o. Calculate the remainder when s is divided by o.
8
Suppose 5*m + 47 - 197 = 0. Suppose -23 = -k + m. Calculate the remainder when k is divided by 28.
25
Suppose -45 = -3*y - 3*g, -58 = -4*y - 3*g - 3. Suppose 5*k - 5*d - 280 = 0, 2 = -2*k - 2*d + 118. Calculate the remainder when k is divided by y.
7
Suppose 0 = -n + r + 19, 2*n = -3*n + 2*r + 107. Let c(m) = -12*m**2 - m - 3. Let q be c(3). Let h = 204 + q. Calculate the remainder when h is divided by n.
21
Suppose f + 0*j - j = 178, 3*f + 3*j = 522. Calculate the remainder when f is divided by 15.
11
Suppose 1128 = 5*k + 4*j, -4*j - 59 + 731 = 3*k. Let i