18 - -25. Let j = -3 + a. Let w = 32 - j. Calculate the remainder when 109 is divided by w.
25
Suppose 0 = -7*t + 5*t + 12. Let q(z) = 4*z**3 - 3*z**2 - 3*z - 2. What is the remainder when q(3) is divided by t/4 - 99/(-6)?
16
Calculate the remainder when 44 is divided by (210/28)/((-2)/(-4)).
14
Let j(q) = -6*q**2. Let a be j(1). Let c(d) = -d**2 - 14*d - 29. Calculate the remainder when 56 is divided by c(a).
18
Suppose 8*a + 30*a = 2774. Calculate the remainder when a is divided by 18.
1
Let o(m) = 43*m**2 - 7 - 81*m**2 - 16*m + 37*m**2. What is the remainder when o(-5) is divided by 17?
14
Suppose -2*f + 14 = -18. Let g = 20 - f. Suppose g*n = 6*n - 44. Calculate the remainder when 65 is divided by n.
21
Suppose -3*h + 0*h = -27. Suppose 0 = -4*p - 1 + h. Suppose 0 = -4*b + w + 13, 3*b - 3*w - 25 = -p*b. What is the remainder when 3 is divided by b?
1
Let m = 6 - 1. Suppose 0 = -m*o + 2*o + 357. Let n = o - 64. Calculate the remainder when n is divided by 14.
13
Let y(u) = 77*u - 107. Calculate the remainder when y(9) is divided by 16.
10
Let f = 76 - 23. Let l = f - 28. Suppose 7*h = 4*h - 4*i + 11, -2*i - 8 = 0. What is the remainder when l is divided by h?
7
Suppose -4*n - 21 = -t - 0*n, 5*t = 4*n + 41. Suppose -t*r = r - 186. Calculate the remainder when 119 is divided by r.
26
Let c = 419 + -342. What is the remainder when 229 is divided by c?
75
Let t be (-686)/(-21) + -1*2/3. Suppose 0 = 5*z - q - 259, 5*z + q - 263 = -2*q. Let y = z - t. Calculate the remainder when 78 is divided by y.
18
Let q = 17 - 8. Calculate the remainder when 27 is divided by 2 + -1 + q + -3.
6
Let x(w) = -w**2 + 10*w + 10. Let m be (-111)/(-21) - (-12)/(-42). What is the remainder when x(m) is divided by 9?
8
Suppose 55*m - 69*m + 1610 = 0. Calculate the remainder when m is divided by 4.
3
Let c(q) = -q**3 - 9*q**2 - q - 4. Let a be c(-9). Suppose a*g - 28 = 12. Calculate the remainder when 22 is divided by g.
6
Let g(h) = h**2 - 2. Let j(s) = -2*s**2 - 2*s + 2. Let x be j(1). What is the remainder when g(x) is divided by 2?
0
Let s(v) = -v**3 - 5*v**2 - 7*v + 8. Let f be s(-4). Let q = f + -5. What is the remainder when 42 is divided by q?
12
Calculate the remainder when (6/5)/(((-165)/(-850))/11) is divided by 7.
5
Suppose 7*u - 4*u - 675 = 0. Let d = u + -123. Let n = 175 - d. Calculate the remainder when n is divided by 19.
16
Suppose 3*c + p + 0*p - 144 = 0, -192 = -4*c + 3*p. Calculate the remainder when 479 is divided by c.
47
Let c(n) = n**3 + 17*n**2 + 5*n + 77. Calculate the remainder when c(-16) is divided by 15.
13
Suppose -3*r - 36 = -s - 2*r, 4*s - 5*r = 144. Let i(n) = 72*n**2 + 2*n + 1. What is the remainder when i(-1) is divided by s?
35
Let v = -14 - -16. Suppose 0 = -f + v. Let y(g) = 9*g**2 + 3*g - 1. What is the remainder when y(f) is divided by 14?
13
Let b(a) = -a**3 - 9*a**2 + 4. Suppose -2*v - 26 = -4*d, 0*d + 8 = 4*d. What is the remainder when b(v) is divided by 3?
1
Suppose -2*n + 16*n = 196. Suppose -4*i + k + 64 = 0, -4*i + 4*k + 31 = -21. What is the remainder when i is divided by n?
3
Let d = -1827 - -1862. What is the remainder when 1083 is divided by d?
33
Suppose 18 - 78 = -5*d. Calculate the remainder when d is divided by 1.
0
Let d be 20/10*30*27/12. Let a = -117 + d. Calculate the remainder when a is divided by 11.
7
Calculate the remainder when 1412/9 + (-92)/(-828) is divided by 34.
21
Suppose 233 = 20*l - 87. Let q = 142 - 95. Calculate the remainder when q is divided by l.
15
Suppose -477*n + 482*n = 215. What is the remainder when n is divided by 23?
20
Let g = -21 - -28. Suppose g*c - 269 = 46. What is the remainder when 177 is divided by c?
42
Let b(i) = 9 - i**3 - 2*i + 16 - 5 + 4*i. Calculate the remainder when b(0) is divided by 2/((-1)/(4/(-1))).
4
Suppose -44*f + 45*f = 36. Let n = f + -26. What is the remainder when 24 is divided by n?
4
Suppose -t + 4*a = -a + 42, 3*t + 2*a + 41 = 0. Let j = -3 - t. Suppose 0*s - s = -2, 3*o = -s + 122. What is the remainder when o is divided by j?
12
Let n(v) be the third derivative of 0*v + 3/2*v**3 - 10*v**2 - 1/120*v**6 + 1/12*v**4 + 0 + 0*v**5. What is the remainder when 14 is divided by n(0)?
5
Let b be 1/((-4 - -1)/3). Let v be -2*(b + 0 - -3). What is the remainder when 42 is divided by ((65 - v)/(-3))/(-1)?
19
Let g(i) = i**2 + i - 2. Suppose -4*q - 11 = -k, -4*k = 2*q - 3*k + 7. Calculate the remainder when g(q) is divided by 4.
0
Let c = -590 + 619. Calculate the remainder when 173 is divided by c.
28
Suppose 0 = 4*s - 11 - 5. Suppose 4*y = 5*l + 47 + 49, 103 = 3*y + 4*l. Let m = y + -21. What is the remainder when m is divided by s?
0
Suppose 2*h + 2*v - 45 = -3*v, v - 1 = 0. Calculate the remainder when 70 is divided by h.
10
Suppose p = -2, -2*z + p = -0*p - 12. Let a = -3 - -3. Calculate the remainder when 17 - -1*(a - -2) is divided by z.
4
Let w be -6 + -1 + -3 + 3. Let x(g) = -g**3 - 8*g**2 - 10*g - 9. Let m = 83 - 49. What is the remainder when m is divided by x(w)?
10
Let m be 14/6 + (-2)/(-3). Suppose m*y - 1 = 4*s - 12, 3*y = -15. What is the remainder when (-5)/(s*(4 - 3)) is divided by 3?
2
Let i(t) = t**3 + 3*t**2 - 4*t + 3. Let z = -9 - -5. Calculate the remainder when 4 + (-14)/2 + 7 is divided by i(z).
1
Suppose 0 = -4*t, -h + 61 = -0*h - 5*t. Let l = h - 27. Calculate the remainder when l is divided by 6.
4
Suppose 2*k = -o - 66, -k - o = -0*k + 35. Let n = -13 - k. Let f = 30 - n. Calculate the remainder when 35 is divided by f.
11
Suppose -5*i - 3*m - 17 = -94, -47 = -3*i - 2*m. What is the remainder when i is divided by (1 - -7) + 81 + -82?
6
What is the remainder when (-17478)/(-162) - 3/(-27) is divided by 60?
48
Let u = 212 + -200. Let y(v) = -4*v**2 - 5*v + 1. Let d(a) = 11*a**2 + 14*a - 3. Let l(q) = 3*d(q) + 8*y(q). Calculate the remainder when l(6) is divided by u.
11
What is the remainder when 2/37 + (-213690)/(-3145) is divided by 48?
20
Suppose -5*k + 112 = -7*d + 9*d, 0 = 3*d + 12. Let i be 1 + -3 + 10/2. Suppose -i*t = t - k. Calculate the remainder when 14 is divided by t.
2
Let o be 14*-1 + 3 + -7. Let r be (-4)/o + 195/(-27). Let v = r + 36. What is the remainder when v is divided by 11?
7
Suppose 2*n + 2*i = 20, -n = 2*n + 5*i - 26. Suppose d + 7 = n. Suppose -2*a + 146 = 3*j - 15, d*j = -a + 63. Calculate the remainder when a is divided by 18.
16
Let a(f) = f**3 - 10*f**2 + 4*f + 107. Calculate the remainder when 303 is divided by a(8).
6
Let m be (4/3)/(-4) - (-7)/21. Suppose -2*s = m, -3*t + s = -s - 330. Calculate the remainder when t is divided by 16.
14
Let n = -171 + 237. Calculate the remainder when n is divided by 20.
6
Let a be (-1 + 5 + -3)*13. Suppose -a*c - 15 = -18*c. Let h(q) = 11*q + 2. Calculate the remainder when h(c) is divided by 9.
8
Let y(c) = 17*c + 830. What is the remainder when y(-10) is divided by 51?
48
Let t = 468 - 418. Calculate the remainder when 228 is divided by t.
28
Suppose c + 0*l - 2*l - 236 = 0, -2*l = 3*c - 716. What is the remainder when c is divided by 32?
14
Suppose -416 = -19*d + 2624. Calculate the remainder when d is divided by 34.
24
Suppose -8*m - 36 = -100. What is the remainder when 24 is divided by m?
0
Let h(m) = -m**3 + 5*m - 10. Let r(a) = 6*a**2 + a - 3. What is the remainder when h(-5) is divided by r(2)?
21
Suppose -12*r - 1959 + 648 = -69*r. Let m = -19 - 4. Let w = m - -35. Calculate the remainder when r is divided by w.
11
Suppose 0*q + 444 = -4*q. Let o = -64 - q. Suppose -3*v + 0*v + 24 = 2*h, 0 = 3*h + 2*v - 36. Calculate the remainder when o is divided by h.
11
Let g(j) = 16*j**2 - 14*j - 5. Calculate the remainder when g(3) is divided by 20.
17
Suppose 0 = -2*r - 3 - 3. Let p be -26*r/6 + -3. Let k = p - -19. What is the remainder when k is divided by 10?
9
Let n = -25 + 40. Calculate the remainder when -2*(-1 - 39/2) is divided by n.
11
Let t = 68 - 29. Suppose 0 = 2*d - v + 2*v - t, 5*d + 5*v - 105 = 0. Calculate the remainder when 49 is divided by d.
13
Let y = 64 - 50. Calculate the remainder when 181 is divided by y.
13
Let h(x) = x**2 - 9*x + 17. Let p be h(7). Suppose 0 = 2*l + 4*f - 50, -p*f + 22 = l - 7. What is the remainder when l is divided by 5?
2
Suppose 6*n = n + 135. Calculate the remainder when n is divided by (-12)/10*1400/(-210).
3
Let n =