se -20*f = -27 - 133. What is the remainder when 126 is divided by f?
6
Suppose -7*u - 486 = -16*u. Calculate the remainder when 328 is divided by u.
4
Suppose -6*w + 4*w = -10. Let p = -3 + w. Calculate the remainder when 5 is divided by p.
1
Suppose 0 = -x + 4, -3*s + 2*x = 43 - 137. What is the remainder when 134 is divided by s?
32
Let k(g) = 52*g - 41. Calculate the remainder when 317 is divided by k(1).
9
Suppose 3*a - 2*a = 17. Suppose -l - 3*g + a = l, 15 = -3*g. Suppose 3*f + 3*f = 366. Calculate the remainder when f is divided by l.
13
Let a be (4/(-2))/(18/(-945)). Suppose 2*y = -y + a. Let f = -16 + y. Calculate the remainder when f is divided by 5.
4
Suppose -14*j = -11*j - 15. Let w = 0 - 0. Suppose 4*l - 57 = -3*g, w = -g + l - 3*l + 19. What is the remainder when g is divided by j?
4
Suppose 0 = -16*k + 17*k + 22. Let b = -14 - k. Calculate the remainder when 46 is divided by b.
6
Let a be 2/(-5) + (-36)/(-15). Suppose 2*j - 6 = 3*t - 5*t, -10 = 5*t. What is the remainder when j is divided by -10*2/(-4) - a?
2
Let a = 128 - 39. Let m = -53 + a. What is the remainder when 105 is divided by m?
33
Let x = 166 - 151. What is the remainder when 29 is divided by x?
14
Suppose -2*z = z - 36. Suppose -5*x - 4*k = -365, -3*x - 5*k = 2*x - 370. Calculate the remainder when x is divided by z.
9
Let v(n) = -n**3 - 13*n**2 + 15*n + 29. What is the remainder when 55 is divided by v(-14)?
10
Let i = -3 - -4. Let l be 4/8*(-1)/(1/(-4)). Let s = l + i. Calculate the remainder when 5 is divided by s.
2
Suppose -6*x - 6 = -0*x. Calculate the remainder when 97 + x + (6 - 5) is divided by 25.
22
Let j = -433 - -443. Calculate the remainder when 34 is divided by j.
4
Let u = -16 - -31. Suppose -u = -j + 7. Calculate the remainder when 39 is divided by j.
17
Let r = 29 - 9. Suppose -2*m - 126 = -0*m + p, 3*m + 2*p + 187 = 0. Calculate the remainder when 76 + ((-4)/5)/(26/m) is divided by r.
18
Let l(s) = 15*s - 85. What is the remainder when l(10) is divided by 34?
31
Let d(a) be the second derivative of -a**5/20 + a**4/3 + a**3/6 - 7*a. Calculate the remainder when 22 is divided by d(3).
10
Let v(f) = -2*f**3 + f - 3. Suppose -3*c + 17 = -13. What is the remainder when v(-3) is divided by c?
8
Suppose -6*f + 351 - 63 = 0. Let m(q) = q**3 - 9*q**2 - 9*q + 3. Calculate the remainder when f is divided by m(10).
9
Let r = -27 + 27. Suppose i + 1 = r, -3*k + 118 = 4*i - 109. Calculate the remainder when k is divided by 28.
21
Suppose c = 2*c + 4*o - 26, -4*c + o + 70 = 0. Let q = -3606 + 3616. Calculate the remainder when c is divided by q.
8
Let f = 8 + 7. What is the remainder when (18 - -2 - 4) + -3 is divided by 3/f - (-24)/5?
3
Let t be 1 + 0 - (-268)/2*1. Suppose -t + 39 = -4*v. What is the remainder when 141 is divided by v?
21
Let m = 475 - 440. What is the remainder when 62 is divided by m?
27
Suppose z - 48 = 4*u, 5*z - 8*z + 69 = 3*u. Let k(a) = -3*a - 4. Calculate the remainder when z is divided by k(-5).
6
Let m be (3 - 2) + (0 - 1). Suppose 6 = 2*j - 188. Calculate the remainder when j is divided by (-9)/(-3) - (m - 22).
22
Suppose k - p - 20 = -2, -p = -5*k + 70. What is the remainder when 81 is divided by k?
3
Let n(d) = -2*d**3 + 10*d**2 - 8*d + 8. What is the remainder when 37 is divided by n(4)?
5
What is the remainder when 184 is divided by (8/16)/((-3)/(-30))?
4
Suppose w - 10 = -4*w. Calculate the remainder when (72/(-42))/6*-7 is divided by w.
0
What is the remainder when 450 is divided by -84*(-20)/15 - (0 + -3)?
105
Calculate the remainder when 47 is divided by (2/7)/((-15)/(-420)).
7
Let t(i) be the second derivative of -i**5/20 - 7*i**4/12 + 3*i**3 + 9*i**2/2 - 17*i. Calculate the remainder when 20 is divided by t(-9).
2
Let d be 52/14 + (-4)/(-14). Suppose -2*y = -d*u + 8, 4*u + 4*y - 18 = 14. What is the remainder when -6*9/(-3) - 21/7 is divided by u?
3
Let q = 52 - 25. Suppose 0*d + 5*n - 43 = -3*d, 2*d = -n + 17. What is the remainder when q is divided by d?
3
Suppose -513*l + 522*l = 1368. Calculate the remainder when l is divided by 44.
20
Let a = 58 + -41. Suppose -3*r + c + 0 = -3, 0 = -5*r + 2*c + 4. Suppose 0 = r*u - 12 - 86. Calculate the remainder when u is divided by a.
15
Let g(d) = -2*d + 1. Let o be (-1 - -15)*28/(-8). Let z = o - -60. Calculate the remainder when z is divided by g(-2).
1
Let i = -12 - -30. Let p be ((-12)/5)/(i/(-45)). What is the remainder when 5 is divided by ((-8)/(-3))/(p/9)?
1
Let n(y) = -y**2. Let f be n(-2). What is the remainder when f/6 - 41/(-3) is divided by (-5)/((-65)/54) + (-22)/143?
1
Suppose -7 + 13 = 3*y. Suppose -y*z = -z - 29. What is the remainder when -6 - -5 - z*-1 is divided by 16?
12
Let p(d) = d**3 + 8*d**2 - 5*d + 9. Suppose -m - 5*f + 6 + 1 = 0, 0 = -3*m + 4*f - 36. What is the remainder when p(m) is divided by 18?
13
Suppose -11*c - 626 = -10. Let r = -5 - c. What is the remainder when r is divided by 18?
15
Let y(c) = -c + 1. Let h(g) = 64*g - 10. Let q(n) = 2*n + 2. Let u be q(-5). Let b(t) = u*y(t) - h(t). Calculate the remainder when b(-1) is divided by 15.
13
Suppose 0 = 18*v - 6 - 102. Let g = 49 - 31. Calculate the remainder when g is divided by v.
0
Let p = 79 + -127. Let v = -38 - p. What is the remainder when (-12)/(-18) - (-103)/3 is divided by v?
5
Let o be (-16)/(-6) - 9/(-27). Suppose -2 = -o*j + 2*j. Suppose 8 = -z + j*z. What is the remainder when 29 is divided by z?
5
Suppose 4*m = 5 + 7. Let r(c) = 2*c - 3. What is the remainder when 8 is divided by r(m)?
2
Suppose -16 = g - 3*h, 4*g = -4*h - 12 - 4. Let s(p) = p + 11. Calculate the remainder when 8 is divided by s(g).
0
Suppose -86 = 17*r - 409. Calculate the remainder when 91 is divided by r.
15
Let x(d) = -4*d - 9 + 3*d**2 - d**2 - 3 + 2. What is the remainder when x(-5) is divided by 21?
18
Suppose 1 = -2*l + l, 3*c - 5 = -4*l. Let v be -3 + 5 - (3 + -1). Suppose x - 22 = -3*s, -s = -x + 2 - v. Calculate the remainder when x is divided by c.
1
Let t(l) = l**3 + 4*l**2 - 3*l + 15. Let i be t(-5). Suppose -4 = -i*f + 11. What is the remainder when 8 is divided by f?
2
Let t(a) = 27*a - 16. What is the remainder when 293 is divided by t(1)?
7
Let r(y) = -388*y + 4363. Let l = 15 - 1. What is the remainder when r(11) is divided by l?
11
Suppose 3*a = 4*i - 1, a + 1 + 6 = -2*i. Let c = 106 + -47. Calculate the remainder when c is divided by (4 - 5)/(a/45).
14
Let a(i) = -i**3 - 23*i**2 - 62*i - 19. What is the remainder when a(-21) is divided by 31?
29
Let r be 11 - ((-2)/(-2) - -2). Suppose u + 0*u = -r. Let i = -6 - u. What is the remainder when 3 is divided by i?
1
Let v = -46 - -203. Calculate the remainder when v is divided by 41.
34
Let s = 138 - 65. Let p(d) = -8*d + 14. What is the remainder when s is divided by p(-3)?
35
Suppose -18*l + 220 = -8*l. What is the remainder when l is divided by 8?
6
Let v(t) be the first derivative of -11*t**2/2 - 9*t + 7. Calculate the remainder when 24 is divided by v(-2).
11
Suppose 0 = -53*f + 47*f + 54. Calculate the remainder when 242 is divided by f.
8
Suppose 4*p - 2*b = -4*b + 224, -4*b + 232 = 4*p. Suppose -103 = -5*c + 2*g, -2*g = 5*c + 2*g - 79. What is the remainder when p is divided by c?
16
Let s(w) = -w**3 + 4*w**2 + 2*w - 5. Let p be s(5). Let z be p - -20 - (-122)/1. Let t = z - 62. Calculate the remainder when t is divided by 9.
6
Let x be (-1)/7 + (-29)/(-7). Suppose b = 4*q + 63, 69 = -x*q - 0*b + 3*b. Let r = -9 - q. What is the remainder when 22 is divided by r?
4
Suppose -770 = -12*d + 1282. What is the remainder when d is divided by 34?
1
Let b be 3 + (-210)/66 + (-26)/(-22). Calculate the remainder when 44 is divided by b/((-2)/(-10)) + 18.
21
Let v(u) be the third derivative of u**5/60 + u**4/24 - 5*u**3/3 - 2*u**2. What is the remainder when v(-8) is divided by 1/5 - (-79)/5?
14
Let z be -28*2/((-12)/3). Suppose -z*x - 110 = -19*x. What is the remainder when 64 is divided by x?
20
Suppose 0 = -5*v - 3*y + 182, 40 = -5*v + 3*y + 228. Suppose 0 = -4*k + v - 89. Let b(s) = s**2 + 11*s - 15. Calculate the remainder when 42 is divided by b(k).
9
Let j(c) = -c - 6. Calculate the remainder when 2 - 4 - (1 - 49) is divided by j(-22).
14
Let h be (-5)/30*2*0. Suppose -2*j - 3*j + 10 = h. What is the remainder when 1 + 0 + -1 + 7 is divid