 Calculate the remainder when n is divided by 10.
6
Let b = 71 - 51. Calculate the remainder when 56 is divided by b.
16
Let s(g) be the second derivative of -g**5/10 - 5*g**4/12 + 2*g**3/3 + 31*g. What is the remainder when s(-4) is divided by 0 + 20/2 - -1?
10
Suppose 0 = -6*q + 378 + 42. What is the remainder when 276 is divided by q?
66
Suppose 2*n = 2*m - 48, 0*n = -3*m - 3*n + 48. Suppose 4*u - 3*b - 60 = 2*u, -u = -4*b - m. Calculate the remainder when u is divided by 10.
6
Let g = -10 - -11. Suppose -3*p + 8 = -g. Suppose -p*w + 2*w = 5*b - 133, 3*w + 141 = 5*b. What is the remainder when b is divided by 14?
13
Let o(c) = -2 + 3 - 2 - c + 68*c**3. Let g be o(-1). What is the remainder when g*(-3 - 33/(-12)) is divided by 9?
8
Let g = 18 + -12. Let s(x) = 3*x**3 - 2*x**2 + 3*x - 1. Suppose 0*m = 3*j + m - 5, -3*m = 3*j - 3. What is the remainder when s(j) is divided by g?
3
Suppose 0 = -5*f - 9 + 59. Let w = 906 + -901. Calculate the remainder when f is divided by w.
0
Suppose 0 = 2*p + 3*o - 33, -4*o + 4 = 4*p - 52. Suppose 97 = 2*v - 4*h - 11, 0 = -3*v - 2*h + 122. Calculate the remainder when v is divided by p.
8
Let i(p) = p - 14. Let s be i(14). Calculate the remainder when (40 + 7)/(1 + s) is divided by 16.
15
Suppose 5 = -2*r + 3. Let a(c) = 2*c + 2. Let t be a(r). Suppose -2*x + 11 + 11 = t. What is the remainder when 41 is divided by x?
8
Let s = -3 - -4. Let y(m) = 2*m + 1. Suppose 10*a = 11*a. What is the remainder when y(a) is divided by s?
0
Suppose k + 2 = 64. Let g = k + 24. Calculate the remainder when g is divided by 15.
11
Let t(q) = 52*q - 298. Calculate the remainder when 2 + 1 - (-84 + -8) is divided by t(6).
11
Let y(g) = -g**2 + 7*g + 11. Let j be y(4). Suppose -2*l + 83 = -j. What is the remainder when l is divided by 5?
3
Suppose -3*g + 10 = r + 3*r, -2*g + 1 = -3*r. Let i(y) = 12*y + 1. Calculate the remainder when 123 is divided by i(g).
23
Calculate the remainder when 155 - ((-40)/(-12) + 45/27) is divided by 46.
12
Let r(m) = 2*m**2 - 40*m + 8. Calculate the remainder when 455 is divided by r(20).
7
Suppose -56*m = 5999 - 16079. Calculate the remainder when m is divided by 28.
12
Suppose v = 5 + 3. Suppose k - v = -t - 0*t, -3*t - 12 = 0. What is the remainder when 21 is divided by k?
9
Suppose -17*v = -19*v - 10. Let t be 16/(-40) + (-182)/v. Let k = -20 + t. Calculate the remainder when 28 is divided by k.
12
Let c(o) = 8 - 268*o**2 + 262*o**2 + 0 + 4*o + o**3. Calculate the remainder when 11 is divided by c(5).
2
Suppose 3*i + 88 = -29. Let l = -32 - i. Calculate the remainder when 24 is divided by l.
3
Let z(n) = -17*n + 10. Let b = 14 - 19. Let r be z(b). Suppose -4*f + r = -5. Calculate the remainder when f is divided by 9.
7
Let u(t) = -2*t**3 + 6*t**2 + 7*t - 3. Calculate the remainder when 625 is divided by u(2).
17
Calculate the remainder when 1/4 + (-25466)/(-56) is divided by 38.
37
Suppose 5*s + 75 = -60. Let x = 59 + s. Calculate the remainder when x is divided by 11.
10
Let l = 46 - -28. Let g = 203 + -203. Suppose 3*c - 7*j + 2*j - 67 = g, 0 = -5*c + j + 97. What is the remainder when l is divided by c?
17
Let k(x) be the second derivative of x**3 - 21*x**2/2 - 4*x. What is the remainder when k(5) is divided by 5?
4
Suppose v = 3*p - 35, -3*v - 2*p - 46 = -v. Let n = 34 + v. Let y(m) = -m**3 + 9*m**2 - 8*m + 7. Calculate the remainder when 32 is divided by y(n).
4
Let q = 53 + -48. Suppose -o - 7 = -9. What is the remainder when q is divided by o?
1
Let x(w) = -w**2 - 10. Let c be x(0). Calculate the remainder when (39 - 0) + 4/(-2) is divided by ((-5)/c)/(3/78).
11
Suppose l - x + 1 = -2*x, 5*l + 3*x - 5 = 0. Suppose 4*j + 5*o - 118 = 0, 116 = 3*j + j + l*o. Calculate the remainder when j is divided by 15.
12
Let r be (-18)/(-4 + (2 - -3)). Let s = r + 20. What is the remainder when 6 is divided by s?
0
Suppose -15*h + 300 = 5*h. Calculate the remainder when 45 is divided by h.
0
Suppose -5*i = -j - 6*i + 40, 5*j - 192 = -i. Calculate the remainder when 147 is divided by j.
33
Let s be 1874/13 - (-10)/(-65). Suppose -j = 11*j - s. Calculate the remainder when j is divided by 5.
2
Let m(s) = -63*s**3 + 3*s**2 + s - 1. Let y(o) = o**2 + 16*o + 33. Calculate the remainder when m(-1) is divided by y(-16).
31
Let y be (-3 + 1 + -38)/(-1). Suppose -y = -n - 3*n. Let f = 13 - n. Calculate the remainder when 13 is divided by f.
1
Let m = -2 + 5. Suppose -m*r + 103 = -59. Calculate the remainder when r is divided by 19.
16
What is the remainder when (0 + (-2)/(-5))*(-359570)/(-164) is divided by 68?
61
Suppose 170 = b - 4*o, -4*b + 473 = -o - 282. What is the remainder when b is divided by 45?
10
Let f be 39/9 + 2/3. Suppose f*r + 15 = 3*s + 2*r, 0 = 3*s + 4*r - 22. Calculate the remainder when (160/(-56))/(4/(-14)) is divided by s.
4
Suppose 21 - 111 = -5*y - 5*i, -2*i = -y + 18. What is the remainder when 20 is divided by y?
2
Suppose -187 = -4*r - 4*z + 197, r = 2*z + 102. What is the remainder when r is divided by 50?
48
Suppose 4*a + n - 253 = 0, 5*a - n - 268 = 37. Let o be (-1)/6 - (-442)/(-12). Let p = a + o. Calculate the remainder when 74 is divided by p.
24
Let r = -17 + 29. Suppose 0 = -4*q + o - 247, 212 + 30 = -4*q + 2*o. Let j = -16 - q. What is the remainder when j is divided by r?
11
Suppose 0 = 75*j - 1624 + 199. What is the remainder when 55 is divided by j?
17
Suppose 0 = 4*x - 162 - 122. Let v = 95 - x. What is the remainder when 90 is divided by v?
18
Let f = -84 - -130. Let p(j) = -j**2 - 5*j + 7. Let b be p(3). Let i = b - -41. Calculate the remainder when f is divided by i.
22
Let a be (2/4)/((-4)/(-272)). Let k = a - 29. Suppose -4*n = -n - 12. Calculate the remainder when k is divided by n.
1
Let p(x) = -2*x - 8. Let k be p(-6). Suppose 0 = k*b + b - 45. What is the remainder when b is divided by ((-9)/6)/(6/(-20))?
4
Let f(q) = -4*q**2 - 12*q - 2*q**3 + 7*q + 2 + 2*q. What is the remainder when f(-3) is divided by 9?
2
Let y = 322 + -231. What is the remainder when y is divided by 31?
29
Let a(j) = 28*j**2 - 2*j + 2. Let v = 18 - 15. Suppose 2*m - 5 = y, 8 = -4*y + 5*m - v. Calculate the remainder when 111 is divided by a(y).
27
Suppose -j + 6*j + 70 = -k, -4*j = -3*k + 56. Let c(r) = r**2 + 13*r + 7. Calculate the remainder when 68 is divided by c(j).
5
Let n(c) = -20*c - 46. What is the remainder when 45 is divided by n(-4)?
11
Let d = 680 - 652. What is the remainder when 303 is divided by d?
23
Let s(d) = -17*d - 5. Suppose -4*w + 5*u + 12 = 0, 0*w + 3*u = -3*w + 36. What is the remainder when s(-4) is divided by ((-132)/15)/(w/(-20))?
19
Suppose -144 = -8*o + 2*o. What is the remainder when 18/o - 149/(-4) is divided by 11 + (4 - 2)/(-2)?
8
Suppose 3*c + 4 = 1. Let j = -27 + 65. What is the remainder when j is divided by (-2 - -2 - -14) + c?
12
Let y(h) = -8*h + 15*h - h**2 - 3 - 2. What is the remainder when y(4) is divided by 3?
1
Let n(v) = v**2 + 1. Let y = 91 + -87. Calculate the remainder when n(2) is divided by y.
1
Let j = -78 + 154. What is the remainder when j is divided by 51?
25
Let c(i) = -i**2 + 7*i + 1. Let m = 33 - -4. What is the remainder when m is divided by c(4)?
11
Let x(p) = 2*p**2 - 39*p - 13. What is the remainder when x(21) is divided by 13?
11
Let c(p) = 3*p**2 + 2*p. Let n = 92 + -86. Calculate the remainder when c(4) is divided by (4/(-3))/(n/9) + 31.
27
Let m be (1 + 2)*(-7 - -1). Let r = 21 + m. Suppose o = -r*o + 44. What is the remainder when 21 is divided by o?
10
Suppose 18*g - 5941 - 233 = 0. Calculate the remainder when g is divided by 111.
10
Suppose 367 + 194 = 11*j. Suppose -o = -4*o + 54. Calculate the remainder when j is divided by o.
15
What is the remainder when 23 + -5 + 12 + -1 + -5 is divided by 18?
6
Let o(c) = 66*c**3 + c**2 + 2*c - 3. What is the remainder when o(1) is divided by 13?
1
Let i = 8 - 0. Suppose i*n + 0*n = 112. What is the remainder when (1/2)/(3/150) is divided by n?
11
Let x(r) = -22*r**3 - 3*r**2 + 8. Calculate the remainder when x(-2) is divided by 47.
31
Let x(s) = -2*s**3 + s + 1. Suppose -9*a + 31 = -23. What is the remainder when a is divided by x(-1)?
0
Let j be (-7 + 2)/((-4)/148). Suppose -c = 4*c - j. Calculate the remainder when 109 is divided by c.
35
Let q be (-12)/28 + (-17)/(-7). Supp