g. Calculate the remainder when h is divided by 19.
18
Let p(v) = -3*v - 28. Let j(d) = -1. Let k(f) = 5*j(f) - p(f). Calculate the remainder when 99 is divided by k(9).
49
Suppose -f - n = 0, 3*f + 2*n - 12 = -2*f. Suppose -3*r - 2*r = -65. What is the remainder when r - 1/((-3)/(-6)) is divided by f?
3
Let w(f) = -15*f - 1. Suppose -3*x - 1 = -k, -5*k + 0*k = 3*x + 31. Suppose -40 = -6*b + 2*b. Calculate the remainder when w(x) is divided by b.
9
Suppose 10*q - 4*a - 15 = 9*q, 3*q - 90 = -3*a. Calculate the remainder when 50 is divided by q.
23
Suppose -3*l + 58 = t, -2*t + 2*l = 6*l - 118. Suppose 4*p + 3*k - 57 = -1, -2*p + 54 = -5*k. What is the remainder when t is divided by p?
10
Suppose 3*a - 281 = n + 182, -5*a + 2*n = -771. Suppose u = o - 43, 0 = 3*o - 8*o + u + 199. Calculate the remainder when a is divided by o.
38
Let q(u) = -4*u**2 - 33*u + 6. What is the remainder when 97 is divided by q(-8)?
13
Let u = -18 + 56. Calculate the remainder when u is divided by 5/((-5)/(-6)) + 4.
8
Suppose -54*z + 266 + 436 = 0. What is the remainder when 44 is divided by z?
5
Suppose -y = -2*u - 86 + 103, 3*y - 21 = -3*u. Suppose -4*j + 60 = -64. What is the remainder when j is divided by u?
7
Let q = 160 - 141. Let d = 0 + 5. What is the remainder when q is divided by d?
4
Let x be -17*((-1)/1)/(-1). Let m = 32 + x. Let y = -87 + 144. Calculate the remainder when y is divided by m.
12
Let u = 41 + -79. Let h = 19 + -6. What is the remainder when h is divided by u/(-12) + 1/(-6)?
1
Suppose 2*p = -2*p + 8. Suppose 3*l - 7 = p. Suppose 4 = -f, l*k + 4*f = -k + 4. What is the remainder when 17 is divided by k?
2
Let g be 1079/(-117) - 4/(-18). What is the remainder when 3*(-12)/g + 7 is divided by 3?
2
Let o be (12/(-4) + 2)*-4. Suppose 5*d - 217 = o*d. Let i = -148 + d. Calculate the remainder when i is divided by 24.
21
Suppose 18 + 9 = 3*f. Suppose 3*q - 3 = 15. Suppose x + q - 12 = 0. What is the remainder when f is divided by x?
3
Suppose -3*m - 3 = 5*z - 23, 19 = 3*m + 4*z. Calculate the remainder when 34 is divided by m.
4
Suppose -6 = 4*k - 2. Calculate the remainder when (-244)/(-3) - k/(-3) is divided by (9 - (7 + -12)) + 14.
25
Let b(y) = 14*y - 7. Suppose 2*q - 2*a = 4*q - 48, 3*q = a + 84. What is the remainder when b(6) is divided by q?
23
Let v = 271 + -221. What is the remainder when 83 is divided by v?
33
Suppose 5*r = 49 - 19. What is the remainder when 40/6*(5 - (-63)/(-18)) is divided by r?
4
Suppose 5*n = -i - 144, -i = 3*i + 3*n + 508. Let d = i - -135. What is the remainder when d is divided by 4?
3
Let l be (0 - (-9)/(-3))/((-3)/4). Suppose -l*m + u + 19 = 0, 3*u + 6 + 9 = 5*m. Calculate the remainder when m is divided by 5.
1
Let x = 25 - 8. Let z be 3/(3/2) + -3 + 3. Suppose -z*s - 2*s - t + 263 = 0, 0 = s - 2*t - 68. What is the remainder when s is divided by x?
15
Suppose 5*u - 3*l - 198 = 0, 0*l + 37 = u + 2*l. Suppose -u = -3*p + 36. Calculate the remainder when (8 - 2)/(-3)*-24 is divided by p.
23
Let a(m) = m**2 - 10*m + 13. Let h = 13 + -1. Suppose 4*i = -b + 3*b + 60, 16 = -4*b. Calculate the remainder when a(h) is divided by i.
11
Suppose 3*y - 1 = -f + 4, 4*y = 5*f - 25. Suppose -6*j + 57 = -f*j. Suppose 2*o + g - 20 = 0, -5*o + 0*g = -g - j. What is the remainder when o is divided by 3?
2
Let o = 46 - 33. What is the remainder when o is divided by -2*(-21)/4 + (-39)/78?
3
Suppose -28 + 112 = -d. Let l = d - -119. Suppose 0 - 9 = -c. Calculate the remainder when l is divided by c.
8
Let t(v) = -v**3 - 2*v**2 + v - 1. Let l be t(-3). Let h = l - 2. Let b(a) = 10*a + 3. Calculate the remainder when b(h) is divided by 12.
9
Suppose 0 = -5*i + 2*i + 30. Suppose 2*b + 4 - i = 0. Suppose b*n - 254 = -4*t, 2*n - t - 174 = t. What is the remainder when n is divided by 22?
20
Let p(h) = 6*h**2 + 3*h + 5. Let w(k) = 303*k + 4568. Calculate the remainder when p(4) is divided by w(-15).
21
What is the remainder when (-12)/(-30) + ((-51766)/(-10))/11 is divided by 30?
21
Suppose 164 = 14*t - 3168. What is the remainder when t is divided by 48?
46
Suppose 9*x + 3*q = 7*x + 197, -x - 3*q + 103 = 0. Calculate the remainder when x is divided by 17.
9
Let o(f) = f**2 + 2*f + 1. Let u be o(5). Suppose 4*d = 5*p - 90, 0*p + 5*d = 2*p - u. What is the remainder when p is divided by 8?
2
Suppose 0*b = -4*b + 96. What is the remainder when 112 is divided by b - 1 - (2 - 2)?
20
Let o(k) = -k**3 + 16*k**2 + 25*k - 98. What is the remainder when 262 is divided by o(17)?
34
Suppose 5*t - 55 = 5*h + 20, t + 2*h = 6. Suppose t - 35 = -o. What is the remainder when 45 is divided by o?
22
Suppose -6*t + 14 + 16 = 0. Calculate the remainder when 32 is divided by t.
2
Suppose -10*y = 35*y - 7425. Let i be -3*1/((-3)/5). Suppose 0*g + i*g = y. What is the remainder when g is divided by 12?
9
Suppose 2*g = m - 35, 3*m - 3*g - 125 = -g. What is the remainder when m is divided by (4/(-3))/((-3)/36)?
13
Let o be ((13 - 6) + -11)/((-2)/1). Suppose 3*s + 3*k = 4*k + o, s - 4*k + 3 = 0. Calculate the remainder when 1 is divided by s.
0
Let q(v) = 6*v**3 - 2*v**2 + v - 16. Calculate the remainder when q(4) is divided by 86.
82
Calculate the remainder when 2433 is divided by 1240/44 + 3 + 105/(-33).
25
Suppose 5*j - 944 = -3*p, 6*p + 328 = 7*p - j. What is the remainder when p is divided by 12?
11
Suppose -590 = -21*a + 11*a. Let k(r) = -10*r - 2. Calculate the remainder when a is divided by k(-2).
5
Let n(g) = g**3 + 5*g**2 - 7*g - 6. Let d be n(-6). Suppose 2*q + 15 = 5*s + 37, s = -4. Calculate the remainder when d + (q - 3) - -15 is divided by 5.
3
Suppose 2*l = 7 - 3, 0 = 4*m + l + 14. Suppose 5*t - 61 = -16. What is the remainder when t is divided by (10/m)/((-3)/6)?
4
Let u = -5 + 9. Let w(n) = -4*n + 8*n - 2*n - n + 5. What is the remainder when w(5) is divided by u?
2
Suppose -3*x + 2*x = x. Suppose x = -8*z + 31 + 73. Calculate the remainder when z is divided by 5.
3
Let g = -5 - -19. Let o = -63 + 23. Let z = o - -78. What is the remainder when z is divided by g?
10
Let t(v) = -v**2 + 6*v - 1. Suppose n = -4, 5*y + 5*n = 3*n + 302. Suppose -5*k - m + y = 0, 6*m = 2*m - 12. What is the remainder when k is divided by t(4)?
6
Let t = 131 - 35. Suppose 8*s - t = 4*s. Let g = -20 - -89. What is the remainder when g is divided by s?
21
Calculate the remainder when -4 + 84/18 + 824/6 is divided by 10.
8
Let h(t) = 3*t**2 + t. Let s be h(1). Suppose 165 = s*a - 87. Suppose 0 = 5*u + 4*u - 144. What is the remainder when a is divided by u?
15
Let i = 205 + -171. Suppose 4*z = i + 34. What is the remainder when 66 is divided by z?
15
Let g(w) = -60*w + 78*w - 2*w**2 - 27 + w**2. What is the remainder when 14 is divided by g(16)?
4
Let v = -19 + -126. Let w = v - -313. Suppose 26*a - w = 23*a. What is the remainder when a is divided by 19?
18
Let n be (-31)/((-2)/(4/(-3)) + -2). Let w = n + -55. What is the remainder when 17 is divided by w?
3
Let p(j) = 6*j**3 - 5*j**2 + 8*j - 7. Let x be p(4). Suppose x + 341 = 5*c. What is the remainder when c is divided by 34?
32
Suppose 19 = -5*p + 69. Let q be ((-3)/2)/(3/(-12)). What is the remainder when (q/(-3))/(-1) + 17 is divided by p?
9
Let x = 1 - -6. Suppose -5*q - x = -6*q. Suppose -q = 3*t - 145. What is the remainder when t is divided by 24?
22
Suppose -4*o - 42 = -6. Let w(q) = q**3 + 8*q**2 - 11*q - 2. What is the remainder when 28 is divided by w(o)?
12
Let g = 37 - 54. Let u = g - -35. Calculate the remainder when (u/(-45))/(1/(-10)) is divided by 3.
1
Suppose 0*l - 3*l = -5*s + 45, -4*l = -4*s + 28. Let n = 24 - 5. Calculate the remainder when n is divided by s.
7
Calculate the remainder when 1732*(-6)/(-52) + (-14)/(-91) is divided by 52.
44
Suppose -5*q - 371 = -2*m + 214, -3*m + 825 = 3*q. Calculate the remainder when m is divided by 147.
133
Let x = 5 - 2. Suppose -k + 59 = x*u, k = -0*k + 2. What is the remainder when u is divided by 286/2145 + 296/30?
9
Suppose 0 = j - 5*l - 493 + 116, 0 = -j - 3*l + 369. What is the remainder when j is divided by 34?
32
Suppose 6 - 50 = -11*s. What is the remainder when 65 is divided by s?
1
Suppose -104 + 40 = -16*f. What is the remainder when 30 is divided by f?
2
Let l(o) = o**2 + 13*o + 32. Calculate the remainder when 320 is divided by l(-14).
44
Let 