 Calculate the remainder when 69 is divided by 142/6 - (-1)/k.
21
Suppose -2*m - 3*n + 43 = 0, -3*m + 8*m - 50 = 4*n. Suppose 3*a - 6 = 0, -4*a = -s + 104 - m. Calculate the remainder when s is divided by 50.
48
Let n(f) = 2*f**2 + 28*f - 8. Let p be n(-20). Suppose -5*d + 98 = -p. What is the remainder when d is divided by 24?
18
Suppose k - 7 = -5. Suppose 70 = u - 0*x + k*x, 4*u - 277 = -5*x. What is the remainder when u is divided by 14?
12
Let h be (-29)/(-9) - (-2)/(-9). Suppose -t = h*z - 21, 0 = 4*t + 4*z - 71 - 53. What is the remainder when 6/21 - (-1494)/14 is divided by t?
35
Suppose 0 = 2*r - 52 + 8. Suppose 0 = -5*u + 7*u - 128. What is the remainder when u is divided by r?
20
Let o = 78 - -36. Let v = -61 + o. Calculate the remainder when v is divided by 8.
5
Suppose -4*w + 6*w = 5*f - 70, 5*f + w = 85. What is the remainder when (98 - 0)*8/f is divided by (2 + -3)/(2/(-26))?
10
Suppose m + 4*z = -18, 9 = -4*m + 2*z + 3*z. Suppose 0 = -q - 2*q - 2*w + 34, -w = -3*q + 37. Calculate the remainder when q is divided by 2/m + 128/24.
2
Calculate the remainder when (-24)/132 - (-3640)/55 is divided by 10.
6
Suppose 167 = -2*u + u + 5*r, r = 4*u + 573. Let p = -43 - u. Calculate the remainder when p is divided by 34.
31
Suppose -2*f = -4*y + 452, 3*f = 3*y - 335 - 7. Let v = 133 - y. What is the remainder when (-122)/(-2) - 1/1 is divided by v?
18
Let k(z) = -9*z - 14. Suppose 11*t = 9*t - 14. Suppose 5*c - 5*j = 105, 4*c + c + j = 81. Calculate the remainder when k(t) is divided by c.
15
Let i(g) = g**3 + 4*g**2 - g - 3. Let a = 8 + -3. Suppose -10 = -5*h - a. Calculate the remainder when h is divided by i(-4).
0
Let z = 282 + 4. What is the remainder when z is divided by 7?
6
Let s(b) = -4*b + 18 + 19 + 2*b + 7. What is the remainder when 71 is divided by s(12)?
11
Let i be 2 - 148/8*-4. Let t = -54 + i. Calculate the remainder when t is divided by 8.
6
Let x(r) = 3*r + 216. Calculate the remainder when x(0) is divided by 20.
16
Suppose -3*f = 2*f + 3*a - 15, -f + 20 = 4*a. Suppose 4*u + 21 - 169 = f. Calculate the remainder when u is divided by 14.
9
Suppose -2*g = -3*g - 5*g. Suppose -5*a + 5*m = -410, -3*m + 86 = -g*a + a. What is the remainder when a is divided by 17?
15
Suppose 0*x + 23998 = 71*x. What is the remainder when x is divided by 36?
14
Suppose -2*k + 79 = 5*y + 2*k, 5*k = 5*y - 70. Suppose 5*p + y - 95 = 5*b, -5*b = -4*p + 64. Calculate the remainder when 60 is divided by p.
12
Calculate the remainder when 8/(432/(-6)) + 379/9 is divided by 4.
2
Suppose -6 = -4*o + 10. Calculate the remainder when 57 is divided by o.
1
Suppose -2*f = t - 1, 4*f - 2*t - 12 - 10 = 0. Suppose q - 68 - 32 = -3*r, 3 = f*q. Calculate the remainder when r is divided by 9.
6
Let h be (-438)/15 - (21/(-5) + 4). Let m(s) = s**3 + 28*s**2 - 29*s + 31. What is the remainder when 121 is divided by m(h)?
28
Let a = 87 - 67. Calculate the remainder when 91 is divided by a.
11
Let a = -82 - -129. What is the remainder when a is divided by 10?
7
Let x(c) = 12*c**2 - 3*c - 4. Let w be x(3). What is the remainder when 46 is divided by 12/48 + w/4?
22
Let p = 110 - 48. Suppose 4*h - 17 = -3*n, -5*n - 35 = -4*h - 10. Calculate the remainder when p is divided by 1 + 2 + n + 14.
14
Let x(p) = 28*p + 50. Let k be x(-2). Let i be 2/((-70)/74 + 1). Let z = i + k. Calculate the remainder when 123 is divided by z.
30
Let s = -25 - -27. Suppose 34 = s*z - c + 6*c, c = 2*z - 22. Calculate the remainder when z is divided by 7.
5
Suppose 3*l = -5*f + 21, 0 = -l + 2*l - 2*f - 18. What is the remainder when 45 is divided by l?
9
Let q(b) = 4*b - 2. Suppose -3*r - 146 = -u + 33, -r - 5 = 0. Suppose 3*v - u = 1. Calculate the remainder when v is divided by q(4).
13
Let o = -30 - -53. Let w = 84 - o. Suppose -2*d - 58 = -6*d + 2*l, -4*d = 4*l - 76. Calculate the remainder when w is divided by d.
13
Let r = 336 - 291. Calculate the remainder when r is divided by 25.
20
Let a = -73 + 155. Let x = -1209 - -1230. Calculate the remainder when a is divided by x.
19
Suppose 0 = 2*w + 2*v + 10, v = -5*w + 3*v + 3. Let g(q) = -q**3 + 24*q**2 + 2*q + 1. Calculate the remainder when g(24) is divided by 0*w/(-2) + 17.
15
Suppose 20 + 20 = 5*m. Let o(k) = -k**3 + 11*k**2 - 9*k + 2. Let i = -167 + 177. Calculate the remainder when o(i) is divided by m.
4
Suppose 18*v - 1109 = 1771. What is the remainder when v is divided by 7?
6
Suppose 5*s = c + 19, c = -2*s + 5*s - 9. Suppose -c*u + 90 = -4*u. What is the remainder when u is divided by 23?
22
Suppose -6*d = -12 - 6. Suppose 3*s = -0*s - d. What is the remainder when 33 is divided by (0 - s)/((-9)/(-108))?
9
Calculate the remainder when (-4)/(-14) - 18039/(-147) is divided by 56.
11
Let u(a) = 396*a - 3. Let y be u(1). Suppose -b - 529 = -4*l - 2*b, 3*b + y = 3*l. Suppose 0 = -5*k + l + 33. What is the remainder when k is divided by 6?
3
Suppose 524 = 8*v + 60. Calculate the remainder when v is divided by 25.
8
Let i(z) = 21*z - 102. What is the remainder when i(8) is divided by 35?
31
Let u(s) = -2*s - 1. Let i be u(-3). Suppose 0 = i*b - 92 + 322. Let x = 84 + b. Calculate the remainder when x is divided by 20.
18
Suppose -3*p + v - 67 - 1 = 0, 4*v + 64 = -2*p. Let o = p - -47. Calculate the remainder when (9 - 6)*((-183)/(-9) - -2) is divided by o.
21
Let m(g) = 3*g + 19. Let r be m(-10). Let f(j) = -j. Let t be f(4). Let i = t - r. What is the remainder when i is divided by 4?
3
Suppose -5*s = v - 256, -3*s + 2*s = -v - 50. Let n be 16/(-2*2/4). Let t = s + n. Calculate the remainder when t is divided by 19.
16
Suppose 105 = -7*i - 14. Let t = -1 - i. Suppose 0*h - 3*h = -186. Calculate the remainder when h is divided by t.
14
Let w = -31 + 29. Suppose 0 = -t + 3*d + 37, 0*t - 4*t = -4*d - 132. Calculate the remainder when 1344/11 + w/11 is divided by t.
29
Let o be (0 + -2)*26/(-4). Let r = o + 18. Let z(h) = -122*h**3 - h**2 - 3*h - 1. Calculate the remainder when z(-1) is divided by r.
30
Suppose -2*t + 3*w - 12 = 4, 2 = -5*t - 2*w. Let d be 20 + 1*(t + 2). What is the remainder when 35 is divided by d - 2*1/2?
16
Let l = -3 - -15. Suppose 0 = 4*t - 6*t + 4. Suppose -5*j - 4*o = -102, 3*j - t*j - 30 = 4*o. Calculate the remainder when j is divided by l.
10
What is the remainder when 11 + 0 + -4 - (-5 - 11) is divided by 2?
1
Suppose -24 - 46 = -5*k. Let q = k + -9. Suppose -4 - q = -s. What is the remainder when s is divided by 4?
1
Let w(z) = -z + 62. Calculate the remainder when 83 is divided by w(17).
38
Let k be -3*4*54/24. Let r = k + 34. Calculate the remainder when 26 is divided by r.
5
Suppose -17*r = 4*h - 181, -5*h - 5*r = -6*r - 204. Let n = 0 + 4. What is the remainder when h is divided by n?
1
Let d = 19 + 128. Calculate the remainder when d is divided by 40.
27
Suppose 8*a = 5*z + 4*a - 831, 0 = 2*z - 3*a - 338. Suppose 2*l = 6*u - 3*u - z, 0 = u - 2*l - 53. What is the remainder when u is divided by -21*(-3 + 2) + -2?
17
Let u be (-185)/(-35) + 6/(-21). Calculate the remainder when 37 is divided by ((-3 - -1) + 6)*u.
17
Suppose 4*t - 3*t - 4*h - 12 = 0, -t + h + 3 = 0. Calculate the remainder when 35 is divided by 0 + 3 + (9 - t).
11
Suppose 50*p - 99 = 47*p. What is the remainder when p is divided by 17?
16
Let o = 39 - 28. Calculate the remainder when 2/7 + (-416)/(-14) is divided by o.
8
Let j be -5*-1*(1 + -2). Let w(l) = -7*l - 6. Let f(h) = -11*h - 118. What is the remainder when f(-21) is divided by w(j)?
26
Let x = 1735 + -1709. Calculate the remainder when x is divided by 2/2 + (16 - 0).
9
Let l(s) = -6 + 8 + s**2 - 8*s + 7. Let q = -1 - -8. What is the remainder when 3 is divided by l(q)?
1
Let z be (-2)/4*(4 - 122). Let v = z + -50. Calculate the remainder when 24 is divided by v.
6
Suppose -5*v = -162 + 122. Calculate the remainder when 85 is divided by v.
5
Let n(h) = 5 + 6*h + 4 - 6*h**2 - 19*h + h**3. What is the remainder when 64 is divided by n(8)?
31
Suppose 0 = 4*z + 2*y - 6*y + 104, y + 28 = -z. What is the remainder when 122 is divided by ((-45)/3)/5 - (-1 + z)?
22
Let w(a) = a + 7. Let s(c) be the first derivative of c**4/4 - 5*c**3/3 + c**2 - 2*c + 9. Let l be s(5). What is the remainder when w(l) is divided by 9?
6
Let w(p) = -p**2 - 16*p - 3. Let r be w(-8). Let l = r + -50. What is