c(v) = v + 8. Let p = -3 + 41. Calculate the remainder when p is divided by c(5).
12
Suppose 0*u = -2*u. Suppose -7*v + 9*v = u. Suppose -3*k + v*k + 24 = 0. Calculate the remainder when 29 is divided by k.
5
Let b(a) = 4*a - 9. Suppose -5*t + 2*t = 42. Let w = t + 19. What is the remainder when b(7) is divided by w?
4
Suppose -125*r = -124*r - 581. What is the remainder when r is divided by 11?
9
Suppose 7 = 5*l + 4*m - 25, 5*l - 29 = -3*m. Suppose 86 + l = 3*w. Suppose w = 6*k - 3*k. Calculate the remainder when k is divided by 4.
2
Let k = -4 - -10. Suppose 10 = -2*j, -4*u = -2*j - 31 - 39. Calculate the remainder when 5*6 - (k - 5) is divided by u.
14
Let v(z) = -91*z - 255. Calculate the remainder when v(-3) is divided by (-6)/2*10/(-3).
8
Let b = -1555 - -1610. Let f(g) = -54*g + 3. Calculate the remainder when f(-4) is divided by b.
54
Let k(i) = i**3 - 7*i**2 - 10*i + 20. Let x be k(8). Let b = 9 + 5. What is the remainder when x + 54/(-12) - 206/(-4) is divided by b?
9
Suppose -5*j + 25 = 0, -2*r - 5*j + 985 = 3*r. Calculate the remainder when r is divided by 110.
82
Suppose 4*s + 5*f = 339 + 186, 2*s = -2*f + 262. Calculate the remainder when 776 is divided by s.
126
Let c(n) = n**2 + 10*n - 13. Let b be c(-9). Let t be 4/b + 5830/121. Let r = -32 + t. What is the remainder when 46 is divided by r?
14
Let c = -266 + 311. Let g = 7 - 4. Suppose -2*q = y + 3*y - 28, -g*y - 63 = -2*q. Calculate the remainder when c is divided by q.
21
Let i(f) = -82*f - 369. What is the remainder when i(-5) is divided by 14/49 + 75/7?
8
Let f(o) = 3*o**2 - 8*o + 9. Let k be (-4 - 14/(-3))*9. Let v be f(k). Let d = 128 - v. What is the remainder when d is divided by 15?
14
Let v(j) = -5*j + 588. Calculate the remainder when v(40) is divided by 5.
3
Calculate the remainder when 12 + 1 + 6 + -6 is divided by 10.
3
Calculate the remainder when (1/1)/(3 + (-1600)/536) is divided by 41.
26
Let v = -15 + 27. Suppose -5*l - 2*p = -20, 4*p = -5*l + 6*p. Suppose 135 = x + l*x. Calculate the remainder when x is divided by v.
9
Let n = 3 + 18. Suppose -5*j - n + 91 = 0. What is the remainder when 52 is divided by j?
10
Let h be 1/((-2)/65)*4/2. Let m = 77 + h. Calculate the remainder when 69 is divided by m.
9
Suppose -2*d + 324 = 112. Suppose m - d = -m. What is the remainder when m is divided by 27?
26
Suppose 0*c - 5*m + 117 = 3*c, 4*c - 4*m - 156 = 0. What is the remainder when c is divided by 16?
7
Suppose 6*d - 52 = 4*d + 4*b, d - 3*b = 30. Let p = 4 + d. Calculate the remainder when 87 is divided by p.
21
Let f(r) = -2*r + 24. Calculate the remainder when 29 is divided by f(3).
11
Suppose 2*m + 4*x + 2 = -6, 0 = 2*x. Let r(v) = v**3 + 8*v**2 + 8*v + 9. Calculate the remainder when ((-194)/8)/(1/m) is divided by r(-6).
31
Suppose -15 = -m - 11. Suppose 0*t - 81 = -3*t + 3*n, -3*t = m*n - 95. Calculate the remainder when t is divided by 5.
4
Let j = 51 + -20. Let d = -14 + j. Calculate the remainder when 48 is divided by d.
14
Let r = 49 - -2. Let s = 65 - r. Calculate the remainder when s is divided by 12.
2
Let v(x) = x**3 - 12*x**2 + 14*x - 5. Suppose 0 = -s - s + 22. What is the remainder when 108 is divided by v(s)?
24
Suppose 249 + 4089 = 18*d. What is the remainder when d is divided by 27?
25
Let v(a) = -4*a**2 - 18*a + 6. Let l be v(-5). What is the remainder when 118 is divided by (-9)/18 + (-122)/l?
28
Suppose 2*v - v + 189 = z, -z + 185 = -5*v. What is the remainder when z is divided by 8?
6
Let f = 1346 - 978. Calculate the remainder when f is divided by 74.
72
Let l = 127 - 79. Suppose -4*j = 2*y - 42, -2*y = -j + 3*j - l. Suppose 3*d = 183 + 48. What is the remainder when d is divided by y?
23
Suppose 3*m = a - 111, 0 = -0*a + 3*a - 5*m - 317. What is the remainder when a is divided by 15?
9
Let l = 2347 + -2153. Calculate the remainder when l is divided by 6.
2
Suppose 21*y = -j + 18*y + 41, -3*j + y = -163. What is the remainder when 419 is divided by j?
48
Calculate the remainder when -2*(5 + 5 + 4218/(-12)) is divided by 43.
38
Suppose -6*t + 1 = -5*t. What is the remainder when 21 is divided by 3/6*14 + t?
5
Suppose -62*i + 64*i = 252. Suppose 0 = -5*y - 2*r + 184, -4*r - i = -4*y + y. What is the remainder when 148 is divided by y?
34
What is the remainder when 89 is divided by 8 + 5 + -2 - -2?
11
Suppose 2*h + 107 = n, 6*h + 112 = n + 5*h. Calculate the remainder when n is divided by 12.
9
Let d(y) = 6*y + 1. Let v(p) = -17*p - 2. Let w(r) = -11*d(r) - 4*v(r). What is the remainder when 33 is divided by w(10)?
16
Suppose 3*w = 24 + 36. Let g = w - 18. Suppose -g = -t + 4. Calculate the remainder when 17 is divided by t.
5
Let q(w) = 10*w + 39. Let t be q(7). Suppose -t = -y - 30. Suppose -8 = -f + 12. Calculate the remainder when y is divided by f.
19
Suppose s + 3*k - 32 = 0, -4*s + 158 + 4 = -5*k. What is the remainder when 145 is divided by s?
31
Let o be (-18 - -16)*61/(-2). Suppose 0 = -3*d - o + 184. Suppose 3*c - 52 = -5*a, 4*a = -4*c + 22 + 42. What is the remainder when d is divided by c?
13
Suppose 3 = 2*u - 5. Suppose 0 = a - 5*q - 41, u*a - 95 = a + q. Calculate the remainder when 92 is divided by a.
30
Let t(a) = 3*a + 9. Let z be t(0). Suppose -b - 2*q = -5*q - z, b = q + 7. What is the remainder when 13/((4 - b)/(-4)) is divided by 14?
12
Let p(s) = s**2 + 19*s + 4. Calculate the remainder when p(-24) is divided by (-496)/(-28) - (-2)/7.
16
Suppose 4*y + 5*p = -3 - 2, -4*p - 4 = -5*y. Suppose 4*k + 5*i - 23 = -y*i, 5*k - i - 36 = 0. Calculate the remainder when 40 is divided by k.
5
Let o(s) = 2*s**2 - 30*s + 10. Let j be o(15). Calculate the remainder when 88 is divided by j + 2 + -2*(-3)/(-2).
7
Let h = -892 - -934. What is the remainder when 206 is divided by h?
38
Suppose -d - 1 = 0, 0 = 2*z + 3*z + 2*d - 148. Let w(h) = -28*h + 6. Calculate the remainder when w(-4) is divided by z.
28
Suppose 0 = -35*o + 41*o - 114. Let z = 6 - 11. Let l = z - -15. Calculate the remainder when o is divided by l.
9
Suppose 3*o = -2*p + 52, 343*p - 113 = 338*p + o. Suppose -2*r + r + 68 = 0. What is the remainder when r is divided by p?
22
Suppose 4*s + 5*h - 24 = 0, -2*s - 4*h = -3*h - 18. Calculate the remainder when s is divided by 5.
1
Suppose 5*v = l - 2, -v = 4*l - 15 + 7. Let s(j) = 12*j**2 + 1. What is the remainder when s(l) is divided by 13?
10
Let m(h) = -4*h**3 + h**2 + 2*h + 1. Let s be m(-1). Let p = 14 + s. What is the remainder when (5/(20/102))/(27/36) is divided by p?
16
Suppose -42 = -2*x - 3*h, -x - 7*h + 35 = -2*h. Suppose -72 = -2*c + c. What is the remainder when c is divided by x?
12
Suppose -16*n + 13*n + 15 = -m, n + m = 9. Calculate the remainder when n is divided by 4.
2
Let y(q) = -q**2 + 27*q - 51. Let i be y(16). Let u = i - 110. Calculate the remainder when 1 + 2/(-1) + 43 is divided by u.
12
Suppose -g + 12 = -z - 28, 3*g - 2*z = 124. What is the remainder when g is divided by 26?
18
Suppose 66 - 13 = b. What is the remainder when b is divided by 34?
19
Suppose 5*p + 10 = -5*k, 3*p + 0*p = 2*k - 6. Let f = 5 + p. Let h = f - -10. Calculate the remainder when 50 is divided by h.
11
Calculate the remainder when 177 is divided by 2*(-1 - 0)/((-10)/180).
33
Let r = 180 + -124. What is the remainder when 445 is divided by r?
53
Calculate the remainder when 32 is divided by (50/(-15))/(1/(-3)).
2
Suppose 2*q - 5*h = -q + 71, 4*h = 4*q - 108. What is the remainder when 15 is divided by ((-9)/6)/((-12)/q)?
3
Suppose -5*t = -4*t - 3. Let d = t - 0. Suppose -78 = -3*m - 3*b, 72 = m + d*m - 4*b. What is the remainder when 86 is divided by m?
20
Let s = -28 - -15. Let c = s - -16. Calculate the remainder when 9 is divided by -3*(c + -2) + 9.
3
Suppose 4*o = -3*j + 861, 3*j + 5*o - 592 - 272 = 0. Calculate the remainder when j is divided by 2.
1
Suppose -p + 2*p = 2*f + 7, 0 = 4*f + 3*p - 1. Calculate the remainder when 189 is divided by 2 - 45*f/3.
29
Let k be (-10 - -12)/1*(0 - -4). Let o = -6 + 19. Let b = o - k. Calculate the remainder when 7 is divided by b.
2
Suppose 0 = -19*t + 345 + 396. What is the remainder when 204 is divided by t?
9
Suppose -p - l + 34 = 2*l, 113 = 5*p - 4*l. Let v = p - 1. Calculate the remainder when 47 is divided by v.
23
Let z(s) = -6*s - 116. What is the remainder when 189 is divi