29. Let x = 98 - z. Calculate the remainder when 54 is divided by x.
6
Let u = 307 - -213. Calculate the remainder when u is divided by 29.
27
Let p(q) = -q**2 - q - 3. Let k be p(-5). Let z = k + 27. Calculate the remainder when z is divided by 4.
0
Suppose 60 = 3*d + u + 8, -u = 5*d - 86. Suppose 2*p = -5*h - 9 - 5, 4*h = -2*p - 10. Calculate the remainder when d is divided by p.
2
Let a = -51 + 54. Suppose 3*f - 97 = -5*o, -3*o + 2*o = -a*f - 5. What is the remainder when 32 is divided by o?
15
Let n be -3 - 0 - (20 - 17). Let o(v) = 5*v + 2. What is the remainder when (n + -1)/(4/(-28)) is divided by o(3)?
15
Let m be -118*(-3)/6*-1. Let z = -35 - m. Calculate the remainder when 45 is divided by z.
21
Suppose 31*l - 13*l - 486 = 0. What is the remainder when 160 is divided by l?
25
Suppose w - 5*p = -0*w + 17, 3*w + 2*p + 34 = 0. Let v = w - -38. What is the remainder when 89 is divided by v?
29
Suppose 7*p = 2*p. Let s(r) = -r**3 - r + 25. Let g(y) = 10*y**2 - 87*y - 13. What is the remainder when s(p) is divided by g(9)?
11
Let l = 6 + 4. What is the remainder when 6/4 + 2/(4/53) is divided by 0/3 + l - 0?
8
Suppose 0 = -6*h + 2*h + 20. Calculate the remainder when 38 + -5 - (-1 + h) is divided by 15.
14
Suppose -2*b + 21*q - 22*q + 765 = 0, -2*q - 2 = 0. What is the remainder when b is divided by 25?
8
Let a(t) = 2*t - 5. Calculate the remainder when 98 is divided by a(9).
7
Let c(n) be the third derivative of n**5/60 - 17*n**4/24 - 3*n**3/2 + 14*n**2. What is the remainder when 41 is divided by c(18)?
5
Let p(t) = 3*t**2 - 3*t - 17. Calculate the remainder when p(5) is divided by 8.
3
Let i be (-10)/(-20) - 210/4. What is the remainder when 2/(i/(-12) - 4) is divided by 4?
2
Let i = -52 + 34. What is the remainder when 42*(9/12)/(i/(-84)) is divided by 10?
7
Let y = -197 - -212. Let w = 137 + -80. What is the remainder when w is divided by y?
12
Let b = 290 + -279. Calculate the remainder when b is divided by 7.
4
Suppose 5*i = -2*y + 812 - 89, -i - 4*y + 159 = 0. Let t = i - 99. Suppose 5*v = -z - 0*v + 34, -z + 4 = -v. Calculate the remainder when t is divided by z.
8
Suppose 21*h + 84 = 25*h. Calculate the remainder when 104 is divided by h.
20
Suppose 0 = -y + 3*c + 22, -5*y + 10*c + 78 = 11*c. What is the remainder when 1391 is divided by y?
15
Suppose 3*f - 4*v + 12 + 6 = 0, 3*v = -4*f + 1. What is the remainder when 104 is divided by -3 - -2 - 74/f?
32
Suppose 5*n - 89 = 1. Suppose t + 308 = 3*t. Suppose 4*y - t = -18. Calculate the remainder when y is divided by n.
16
Let x(a) = a**3 + 7*a**2 + 4*a - 8. Let n(u) = -300*u - 3296. Calculate the remainder when x(-6) is divided by n(-11).
0
Let c = -154 + 169. Calculate the remainder when 160 is divided by c.
10
Let b(q) = 132*q**2 + q - 16. Calculate the remainder when b(3) is divided by 56.
55
Let z(k) = -k**2 + 43*k - 402. Calculate the remainder when 81 is divided by z(21).
21
Suppose 4*u + 210 = 10*u. Let r = -26 + u. What is the remainder when 12 is divided by r?
3
Suppose -95 = -5*a + 2*c, 0*a - 3*c - 49 = -2*a. What is the remainder when 1358 is divided by a?
15
Suppose m - 1 = 1. Suppose -x - 3*i + 21 = 0, -x - 40 = -6*x - m*i. Suppose x*r - 2*r - 68 = 0. What is the remainder when 33 is divided by r?
16
Suppose -4*d = -k + 807, 6*k = 3*k - 3*d + 2361. What is the remainder when k is divided by 33?
32
Suppose 0 = 9*o - 14*o + 6790. What is the remainder when o is divided by 9?
8
Let g(p) = 4*p**2 - 2*p - 2. Let a be g(3). Let w = 30 - a. Suppose 5*h = w*h + 30. Calculate the remainder when 37 is divided by h.
7
Let z be 1/((4/46)/(-2)). Let g = z - -41. Calculate the remainder when 22/(66/(-153))*-1 is divided by g.
15
Let z = -50 - -204. Suppose 0 = -7*v + 35 + z. Calculate the remainder when 102 is divided by v.
21
Calculate the remainder when 896 is divided by ((-34)/10 - -3)*(-1015)/14.
26
Suppose 2*q = 4*d + 34, -2*q + 7*q = 15. Let p(m) = -m**2 - 8*m - 4. Calculate the remainder when 14 is divided by p(d).
2
Calculate the remainder when (-27)/54 + 0 + (-343)/(-2) is divided by 29.
26
Suppose 3 = -3*p + 9. Suppose -5*j + 0*j + p*k + 337 = 0, 3*k - 219 = -3*j. Calculate the remainder when j is divided by 1 + -1 + 18/1.
15
Let l = 12 - 15. Let v be l/5 - (-966)/35. Suppose 2*j + 5 = v. Calculate the remainder when 42 is divided by j.
9
Let p(o) be the first derivative of -o**4/4 - 4*o**3/3 + 11*o**2/2 + 18*o + 14. Calculate the remainder when 70 is divided by p(-6).
22
Let p(r) = -r**2 - 23*r - 27. Suppose -5*s - 82 = 23. What is the remainder when p(s) is divided by 9?
6
Suppose 23*b - 18*b = 5, 2*b - 62 = -g. What is the remainder when 358 is divided by g?
58
Let f(p) = -5*p - 52 + 4*p**3 + 7*p**2 - 3*p**3 + 53. What is the remainder when f(-3) is divided by 18?
16
Let t = 39 + -27. What is the remainder when 28 is divided by (-12)/(-1) + t + -8?
12
Suppose 2*b = -2*z + 43 - 5, 2*b = -z + 40. Suppose q = -5*m - 23, m - 4*m - 23 = -4*q. Suppose -h + q = -4. What is the remainder when b is divided by h?
3
Suppose y + m + 12 = 0, 2*m + 9 - 1 = 0. Let a(t) be the second derivative of -t**3/3 + 7*t**2/2 + 2*t. What is the remainder when 89 is divided by a(y)?
20
Let k = 71 - 42. What is the remainder when -2 + ((-868)/(-6) - (-2)/(-3)) is divided by k?
26
Suppose 5*g - 2*n + 2 = 23, -2*n = -4*g + 16. Suppose 5*j + 44 = 4*z, -4 = 5*z - g*j - 59. Calculate the remainder when 40 is divided by z.
7
Let t = -419 - -565. What is the remainder when t is divided by 15?
11
Suppose 3*y - 10 = 2, -20 = -2*x - 5*y. Suppose 6*f = -x*f + 1956. Calculate the remainder when f is divided by 41.
39
Suppose 14*h - 26*h = -204. What is the remainder when 102 is divided by h?
0
Let k = -4 + 7. Suppose 40 = k*m + 2*m. Let o(y) = y**3 - y**2 + 29. What is the remainder when o(0) is divided by m?
5
Suppose 29*q - 72*q = -6020. Suppose 2*k - 25 = 69. Calculate the remainder when q is divided by k.
46
Suppose -5*n = n - 36. Let c(r) = 2*r**2 - 8*r + 12. What is the remainder when c(n) is divided by 19?
17
Let t = 84 + -45. Suppose 93 = 4*h - t. Suppose -2111*k - 1170 = -2120*k. What is the remainder when k is divided by h?
31
Let y(i) = -i**3 - 5*i**2 + 2. Let w be y(-5). Suppose -w*u + 420 = 3*u. Suppose 0 = 2*a - u. Calculate the remainder when a is divided by 11.
9
Suppose -4 - 8 = -2*t. Let r be (8/10)/((-6)/(-30)). Suppose -2*x - 2 - 2 = 0, r*u = 2*x + 48. What is the remainder when u is divided by t?
5
Let u = 90 + -38. Suppose 3*o - 92 = u. Calculate the remainder when o is divided by 10.
8
Suppose 150 = 17*y - 122. What is the remainder when 22 is divided by y?
6
Let z(b) = 4*b + 13. Calculate the remainder when 33 is divided by z(-1).
6
Let q(r) = r**2 - 3*r - 6. Let k = -11964 + 12034. What is the remainder when k is divided by q(6)?
10
Let x be ((-2)/4)/((-3)/372). Suppose -282 + 38 = -5*l + 2*d, l + 4*d = x. Suppose b - 2*b = -l. Calculate the remainder when b is divided by 13.
11
Let t(f) = f**2 + 2. Suppose -7*l + 5*l + 10 = 0. Suppose l*k - 107 = 3*k - 5*b, 4*k + 4*b - 208 = 0. What is the remainder when k is divided by t(4)?
15
Suppose -3*b + 216 = 3*w, 4*b + 17 = 4*w + 321. Calculate the remainder when 190 is divided by b.
42
Let x = 49 - 44. Suppose 5*w = 59 + 91. Let p = w - 12. Calculate the remainder when p is divided by x.
3
Let q(u) = u**3 - 6*u**2 + 3*u + 12. Let f be q(5). Suppose -f*j + 83 = 5. Calculate the remainder when j is divided by 21.
18
What is the remainder when 215 is divided by 3*(-330)/(-12)*16/12?
105
Suppose -q + 1 + 20 = 0. Let o = q - 10. Suppose -2*d + 86 = -0*d. What is the remainder when d is divided by o?
10
Suppose -3*a + 135 = 5*f - 0*f, 4*f - 38 = -a. Let y = -7 + 25. What is the remainder when a is divided by y?
14
Suppose -109*s + 99*s = -250. Calculate the remainder when 369 is divided by s.
19
Suppose 7*z = 3*z + 60. Suppose -62*k + 4088 = 554. Calculate the remainder when k is divided by z.
12
Suppose 0 = 9*f - 3 - 15. Calculate the remainder when 16/(-10)*(f + (-295)/10) is divided by 12.
8
Let k(q) = -48*q + 2. Suppose -x = -3*x + 4. Suppose -x*r - 1 = -r. What is the remainder when k(r) is divided by 13?
11
Suppose -4*h + 802 = 2*d, 3*d + d + 426 = 2*h. Suppose 0 = 3*m - 10*m + h. What is the remainder when m is divided by 16?
13
Let x 