What is the remainder when n is divided by b?
14
Let m be (3 - -1)*-18*-14. Suppose r + m = 8*r. Calculate the remainder when r is divided by 37.
33
Let i = 3 - -1. Suppose -i*c + 6*c = 108. Suppose -3*u + c = -0*u. Calculate the remainder when u is divided by 10.
8
Let g be (-270)/(-16) + 1/8. Let j be (4/6)/(3/(-27)). Let d = j + g. What is the remainder when 30 is divided by d?
8
Let c(h) = -h**3 - 5*h**2 + 6*h + 7. Let l(x) = -x - 2. Let s be l(4). What is the remainder when (56 + -20)*(-1)/(-2) is divided by c(s)?
4
Let q(n) = -7*n**2 + n. Let y be q(1). Let u be (-34)/y + 4/12. Calculate the remainder when (4/u)/((-8)/(-12)) is divided by 1.
0
Let c be (0 - -4)/(1 + 0). Let m be (1/1)/(c/24). Let p(g) = 2*g**2 - 7*g - 2. What is the remainder when 53 is divided by p(m)?
25
Let x(d) = 84*d - 215. What is the remainder when x(4) is divided by 12?
1
Suppose -4*f + 48 + 8 = 0. Suppose -2*a - 76 = -4*a. Calculate the remainder when a is divided by f.
10
Let i be 4/(-22) + ((-237)/(-33) - -1). Suppose -i*t = -0*t - 72. Calculate the remainder when 13 is divided by t.
4
Let j = 20 + -3. Calculate the remainder when 5*(-2)/((-4)/18) is divided by j.
11
Suppose 0 = 3*d + 3*r - 90, -2*r - 347 + 380 = d. What is the remainder when 427 is divided by d?
22
Let a(m) = m**3 + 3*m**2 - m + 1. Suppose 0 = -5*c + 4*c + 2. Calculate the remainder when a(c) is divided by 87/12 - (-1)/(-4).
5
Let j(s) = -4*s**2 - 26*s - 2. Let i be j(-6). Let c = i - -14. Calculate the remainder when 119 is divided by c.
23
Suppose 144 = -7*h + 2678. Calculate the remainder when h is divided by 13.
11
Let b(x) = 5*x + 2. Let q be b(2). Suppose 0 = -t - 3*t + 4*p + q, -4*t - 15 = 5*p. Suppose t = -2*a + 7*a - 150. What is the remainder when a is divided by 8?
6
Suppose b - 10 = 42. Let s(f) = f**2 + 2*f + 1. Let k be s(-3). Suppose 2*w = -2*v + 42, 4*v - k*w = -0*w + 60. Calculate the remainder when b is divided by v.
16
Suppose 2*p = 5*z + 60, 7*p - 3*z - 90 = 4*p. Suppose 0 = 5*f - 10*f + p. What is the remainder when (1/2 - 0)*54 is divided by f?
3
Suppose -122*n = -124*n + 26. What is the remainder when 205 is divided by n?
10
Let l = 815 - 804. Calculate the remainder when l is divided by 10.
1
Let u = -358 + 539. What is the remainder when u is divided by 13?
12
Let n(c) = c**2 + 3*c - 59. Calculate the remainder when n(-22) is divided by 177.
5
Let z(f) = f**2 + 11*f + 23. Let a be z(-5). Calculate the remainder when 23 is divided by a*((-9)/7 - 0).
5
Let w = -81 - -84. Let z(a) = 3*a**2 - 3*a + 4. Calculate the remainder when z(3) is divided by w.
1
Let s(t) = 2*t + 36. Let r be s(-16). Suppose p + 3*p + 2*b - 268 = 0, -4*b = r*p - 260. Calculate the remainder when p is divided by 36.
33
Suppose 5*b - 25 = 5*t, 5 = 2*b + 4*t - 5. Suppose b = 5*y - 0. What is the remainder when -2*y/(2/(-8)) is divided by 2?
0
Suppose -m = -2*z + 2*m + 163, z = m + 80. What is the remainder when 302 is divided by z?
71
Let s(p) = -34*p. Let q = 31 - 8. Calculate the remainder when s(-2) is divided by q.
22
Let w = -13 + 22. Suppose -7 = 2*p + 7. What is the remainder when w is divided by 36/(-84) - 45/p?
3
Let t(z) = z**3 + 9*z**2 + 7*z + 15. What is the remainder when 251 is divided by t(-8)?
21
Let s(j) = j**3 - 9*j**2 + 11*j + 11. Suppose -5*f + 3*r + 47 + 40 = 0, -4*f - 5*r + 77 = 0. Let a = f + -6. What is the remainder when s(8) is divided by a?
11
Let y(p) = -5*p**2 - 6*p + 11. Let d(i) = -11*i**2 - 10*i + 22. Let l(s) = 2*d(s) - 5*y(s). Calculate the remainder when l(-7) is divided by 17.
15
Suppose 0 = 3*c - 0*g - g - 41, -47 = -3*c - 5*g. Let i be (1*-14 - -3) + 3. Let o(u) = -9*u - 18. What is the remainder when o(i) is divided by c?
12
Calculate the remainder when 0/(-1) + 1 - -40 is divided by ((-39)/(-26))/(2/28).
20
Suppose -4*t - i = 4*i - 122, -t + 38 = 5*i. Let k(d) = -d**3 + 2*d**2 - d + 52. Calculate the remainder when k(0) is divided by t.
24
What is the remainder when 134 is divided by 1/(198/(-102) - (-5 - -3))?
15
Let l(p) be the third derivative of -p**6/120 - p**5/60 - p**4/8 - p**3/2 - 3*p**2. What is the remainder when l(-3) is divided by 7?
3
Suppose -168*a = -167*a - 6. Suppose 0 = -4*l - r + 234, l + 6*r - 3*r - 64 = 0. Calculate the remainder when l is divided by a.
4
Let y = 2 - -6. Suppose 0*d + 2*d - 23 = k, 2*k = 3*d - 33. Let t = d + 0. Calculate the remainder when t is divided by y.
5
Let f = 1 - -4. Let z be -3 - (-2 + 3)/(1/(-6)). Calculate the remainder when 15 + -6 + z + 0 is divided by f.
2
Suppose 13*b - 7133 = -1166. What is the remainder when b is divided by 14?
11
Let f = 1 + -2. Let d = -444 + 438. What is the remainder when 73 is divided by (-5)/f*(-30)/d?
23
Let h be (-8)/16 + (-25)/(-2). Calculate the remainder when 230/6 - h/36 is divided by 5.
3
What is the remainder when (6 + -2 - 8)/(-1) is divided by 4?
0
Let f(r) = 129*r + 1070. What is the remainder when 1631 is divided by f(-8)?
35
Let q(b) = -3*b**2 - 1 + 2*b**2 + 2 - 7*b + 3. Let t be q(-6). Suppose -4*r + 30 - t = 0. What is the remainder when 19 is divided by r?
4
Suppose -19*t = -12*t - 56. What is the remainder when 22 is divided by t?
6
Suppose 5*t + 2*h = -0*h + 30, 5*t = -h + 30. Suppose -46 = -t*y - 4. Suppose -4*k = -2*k - 8. Calculate the remainder when y is divided by k.
3
Suppose -7*q - 6 = -20. Calculate the remainder when 37 is divided by 7/q*(-280)/(-98).
7
Let u(d) = 26*d**2 + 14*d + 14. What is the remainder when u(-2) is divided by 76?
14
Suppose 35 = -6*i + 47. Calculate the remainder when 11 is divided by i.
1
Calculate the remainder when 264 is divided by 18292/340 + (-2)/(-10).
48
Let l = -118 + 139. Calculate the remainder when l is divided by 5.
1
Calculate the remainder when 96 is divided by 10*1 + (-360)/(-45).
6
Calculate the remainder when (234/15)/(-7*16/(-840)) is divided by 40.
37
Let s = -294 - -303. Calculate the remainder when 305 is divided by s.
8
Let w be 0/(1 - -1) + 6 + -2. Suppose -4*r - w*f = -56, 2*r - 4*f - 16 = 12. What is the remainder when r is divided by 9?
5
Suppose -35*h = -16*h - 7828. What is the remainder when h is divided by 46?
44
Suppose -24 = 4*h - 7*h - 5*d, 2*h = -2*d + 12. Suppose 0 = -h*x + 31 + 5. Calculate the remainder when 32 is divided by x.
8
Let m(c) = 3*c**2 + 28*c + 12. Let n(u) = -9*u**2 - 83*u - 35. Let d(l) = -11*m(l) - 4*n(l). Calculate the remainder when d(-11) is divided by 10.
7
Suppose -4*n - n = q - 10, 5*n = 5. Suppose q*y = -27 + 162. Calculate the remainder when y is divided by 16.
11
Suppose 0 = l - 1 - 3. Suppose -5*c - 16 = -3*d - 83, 51 = l*c - 5*d. Calculate the remainder when -2 + 43 + -46 + 46 is divided by c.
13
Let z(v) = -v + 38. Suppose 4*p - 57 = 543. What is the remainder when p is divided by z(0)?
36
What is the remainder when 193 is divided by (-300)/(-15) - 15/3?
13
Suppose 668 - 218 = 6*g. What is the remainder when 1349 is divided by g?
74
Let j(b) = -b**2 + 6*b + 60. What is the remainder when 19 is divided by j(-5)?
4
Let x be (-42)/(-18) - 6/(-9). Suppose x*t - 15 = -0*t. What is the remainder when 14 is divided by t?
4
Suppose 2*b - 265 = 11*x, 2*b = 3*b + 4*x - 85. What is the remainder when b is divided by 76?
29
Suppose -321 = 3*i - 72. Let t = i - -121. Calculate the remainder when t is divided by 7.
3
What is the remainder when 78 is divided by 18/(15/5) + 10?
14
Let o(g) = 13*g - 5. Calculate the remainder when o(6) is divided by 678/36 + (-2)/(-12).
16
Let k(y) = -y + 6. Let d be k(-6). Suppose f = -3*f + 5*g - 28, 20 = 5*g. Let r = d - f. What is the remainder when 67 is divided by r?
11
Let w(b) = -2*b - 5. What is the remainder when 59 is divided by w(-13)?
17
Suppose 0*x = -2*x + 2. Let c(s) be the third derivative of 7*s**5/20 - s**4/24 - 151*s**2. What is the remainder when 37 is divided by c(x)?
17
Suppose 0 = -m + 6*c - 4*c + 22, 0 = -2*m - 3*c + 65. What is the remainder when m is divided by (0 + -3)*8/(-3)?
4
Let r = -18 + 37. Let y = 49 - 44. Suppose y*p - 40 = 5*i, 0 = p - 2*i - 7 + 1. Calculate the remainder when r is divided by p.
9
Let p(c) = -32*c**2 - 1. Let s be p(1). Let f = s - -43. What is the remainder when 58 is divided by f?
8
Suppose -4*r = 128 - 644. Let x = r + -117. What is the remainder when 47 is divided by x?
11
Suppose -4*i + 824 =