t, 0 = t + 5*h - 9 + 3. Calculate the remainder when k(8) is divided by t.
4
Let c(g) = -g**2 + 3*g - 2. Let j be c(2). Suppose -3*i + 57 + 18 = j. What is the remainder when i is divided by 14?
11
Let y(z) = z**2 + 17*z + 18. Let i be y(-16). Suppose -6 = -2*d - 0*h + 3*h, -4*d + i*h = -28. Calculate the remainder when 26 is divided by d.
8
Suppose 3*u + 4*w + 0*w - 277 = 0, 2*w + 194 = 2*u. Suppose -2*n - u = -7*n. What is the remainder when n is divided by (2 + 1)*20/6?
9
Suppose -2*m + 2 = -8, -5*m = -3*w + 104. Suppose -20 = -a + 6*a. Let r = 7 - a. Calculate the remainder when w is divided by r.
10
Let z = 12 - 9. Let d be 1*-1 - (-12)/2. Let m = d - -2. Calculate the remainder when m is divided by z.
1
Suppose 2*t + 0*t - 71 = -3*i, -6 = 3*t. Let p be 2/(-6) + (-57)/(-9). Suppose p*f = f + i. What is the remainder when 8 is divided by f?
3
Suppose 85*l - 424 = 81*l. Calculate the remainder when l is divided by 39.
28
Suppose 2*i + 6 = 4*t, -3*i + 7*i - t - 9 = 0. Calculate the remainder when 8 is divided by i.
2
Let v be (-2)/4*-10*1. Let h = 7 - v. What is the remainder when h is divided by 1?
0
Suppose -u + 4*u = 138. Calculate the remainder when u/4*(-6)/(-3) is divided by 12.
11
Let v(a) be the second derivative of -a**3/6 + 7*a**2/2 - a. Calculate the remainder when v(-7) is divided by (-12)/22 - (-564)/66.
6
Suppose 75 = i + 2*i. What is the remainder when 47 is divided by i?
22
Suppose 3*s + 69 = 3*h, 4*h + 3*s - 5*s = 98. Let z = 17 - h. Let r = z + 11. What is the remainder when r is divided by 2?
0
Suppose 73 = 5*c + 2*h, 29 = 4*c + 3*h - 35. Calculate the remainder when 76/4*(-3 + 5) is divided by c.
12
Let u(k) = -31*k**3 + k**2 - k - 1. What is the remainder when 93 - (-2 + (3 - 1)) is divided by u(-1)?
29
Let a be 118/3 - 1/3. Suppose 3*z = 5*f - a, -10 = -2*f + z + 3*z. What is the remainder when 5/(40/(-16)) - (1 + -19) is divided by f?
7
Suppose l + 0*y - 46 = y, -5*y - 181 = -4*l. What is the remainder when l is divided by (-20)/(-5) - (-12 + 3)?
10
Let m(f) = -2*f**2 + 19*f - 9. Let r be 44 + 3 + 3 + -1. Suppose -4*v + 67 = -r. What is the remainder when v is divided by m(8)?
14
Suppose 5*d + j - 80 = 0, -4*j + 32 + 16 = 4*d. Calculate the remainder when 99 is divided by d.
14
Let j = -17 + 30. What is the remainder when 36 is divided by j?
10
Let v = -166 + 275. What is the remainder when v is divided by 28?
25
Let x(w) be the third derivative of w**4/8 - w**3/6 - 11*w**2. Suppose 4 = 4*p - 0. What is the remainder when 2 is divided by x(p)?
0
Let i(x) = -x + 33. Calculate the remainder when i(0) is divided by 12.
9
Let l be (-18)/4*(-8)/12. Calculate the remainder when 4 is divided by l + (-3 - (-3 - -1)).
0
Suppose 6*p - 21 + 3 = 0. Suppose 0 = -p*w + 6*w - 18. Calculate the remainder when 27 is divided by w.
3
Suppose -7*v + 80 = 17. Let k(d) = -5*d. Calculate the remainder when k(-7) is divided by v.
8
Suppose -12 = -2*w - 3*b + 6, -38 = -3*w + b. What is the remainder when 31 is divided by 90/w - (-2)/4?
7
Let t(l) = -2*l**2 + 3*l + 1. Let y be t(3). Let j(i) = 8*i - 16. Let d be j(7). Let r = d + y. Calculate the remainder when r is divided by 11.
10
Let s = 27 + -28. Let f(r) = 11*r**2 - 3*r - 3. Let c = 11 + -5. Calculate the remainder when f(s) is divided by c.
5
Let i = -15 - -21. Suppose i*p = p + 5. Calculate the remainder when 3 is divided by p.
0
Suppose 2*o = -g + 2*g - 36, -4*o + 128 = 3*g. Let p = g - 28. Calculate the remainder when 21 is divided by p.
9
Suppose 3*k = 13 + 5. Calculate the remainder when 11 is divided by k.
5
Let h = 5 + 7. Calculate the remainder when 47 is divided by h.
11
Let k = 58 - 27. Calculate the remainder when k is divided by 8.
7
Let d(c) be the third derivative of -c**6/120 + c**5/15 + c**4/4 - c**3/3 - c**2. Calculate the remainder when d(5) is divided by 1.
0
Suppose 132 = 3*w - 51. Calculate the remainder when w is divided by 21.
19
Let r(g) = 2*g - 10. Let s be r(7). Suppose -2*c = -2*x + 16, 4*x + s*c = x - 11. Suppose x*k - 35 = -2*k. Calculate the remainder when k is divided by 3.
1
Let g = 14 + -9. Suppose -2*n - 2*k + 44 = 0, -k - 83 = -g*n + 3*k. Calculate the remainder when 56 is divided by n.
18
Suppose -4*t = -5*m - 21, 5*m = 2*m + 2*t - 13. Let j(s) = s**3 + 7*s**2 - s. Calculate the remainder when j(m) is divided by 14.
13
What is the remainder when 14/4 - (-42)/(-28) is divided by 2?
0
Suppose -t + 8 = 3*t. Suppose 5 = l - t. Calculate the remainder when 20 is divided by l.
6
Let n be (1 + 0)*-2 + 1. Suppose 2*r = -5*u - 19, 1 = 5*r - 5*u - 4. Calculate the remainder when 26 is divided by 7 - (0/n + r).
8
Let f be (-5)/(-3) - ((-8)/(-12) + -1). Let v = 39 - 15. Let t = v - f. What is the remainder when t is divided by 12?
10
Let f be (14 - (-4)/(-2)) + -2. Suppose -f = -3*t - 4. What is the remainder when -2 + (-2 - (2 - 8)) is divided by t?
0
Suppose 0 = f - 8 - 4. Suppose -w = w + u - f, 4 = 2*w + 5*u. Let z(y) = -y**3 + 7*y**2 + y + 7. What is the remainder when 39 is divided by z(w)?
11
Let s = -152 - -188. What is the remainder when 106 is divided by s?
34
Suppose 2*y + 3*a = -15, 4*y + 4 + 16 = -4*a. Suppose y = 2*v + v - 2*w - 46, 5*v - 66 = -2*w. Calculate the remainder when 39 is divided by v.
11
Let j be (-1 - (-20)/3)*-15. Let h = -57 - j. Suppose 0*f + 3*f - 12 = 0, -2*f + 18 = l. What is the remainder when h is divided by l?
8
Suppose 0*m - 2*v = 4*m - 216, 3*v + 40 = m. Calculate the remainder when m is divided by 27.
25
Suppose 45 = 3*f - c, 0 = f + 4*f - c - 77. Let l be (6/4)/(12/f). Suppose -u = -l*u - 2*a + 9, -12 = -u - a. Calculate the remainder when 59 is divided by u.
14
Suppose -j = -22 - 6. Let d = 42 - j. What is the remainder when 54 is divided by d?
12
Let q(g) = g**3 - 8*g**2 + 9*g - 5. What is the remainder when q(7) is divided by 4?
1
What is the remainder when 37 is divided by ((-4)/(-12) + 0)/((-1)/(-30))?
7
Suppose 102 - 21 = 3*x. Calculate the remainder when x is divided by 15.
12
Suppose q - 10 = 3*m, -4*m - 40 = -17*q + 13*q. What is the remainder when 35 is divided by q?
5
Let u = 49 + -32. Let k(s) = s**2 + 5*s + 6. Calculate the remainder when u is divided by k(-5).
5
Let x(k) = 8*k + 13. Let v(m) = 1. Let p(j) = -2*v(j) + x(j). Calculate the remainder when p(9) is divided by 21.
20
Let t = 24 + -4. Suppose -2*q - 8 = 4*h, 5*h + t = h - 5*q. Suppose h = 3*g - 2*m - 28, -32 = -3*g - 4*m + 5*m. What is the remainder when 34 is divided by g?
10
Let i(t) be the first derivative of t**2/2 + 6*t + 1. Calculate the remainder when i(6) is divided by 7.
5
Let z(v) = 8*v + 60. Suppose -2*o - 2*o = -60. What is the remainder when o is divided by z(-7)?
3
Let a(v) = v**3 + v**2 + v + 5. Let p be a(4). Let h = -40 + p. Calculate the remainder when h is divided by 13.
10
Suppose -7*i + 10*i - 51 = 0. What is the remainder when i is divided by 6?
5
Let z(q) be the third derivative of -q**5/60 - 7*q**4/24 + q**3/3 - 7*q**2. What is the remainder when z(-7) is divided by 1?
0
Let s = 4 + -2. What is the remainder when 2 is divided by -1 - -4 - (0 + s)?
0
Let b(u) = -u**3 + 2*u**2 + 3. Let k be b(3). What is the remainder when (-44)/(-6) + k/18 is divided by 4?
3
Let j(o) = 2*o + 25 + 10 + 0*o - 3*o. What is the remainder when j(0) is divided by 12?
11
Suppose 0 = -2*l + 4*c + 22, 3*l + 14 - 11 = -3*c. Suppose -5*a = -3*j + 16, 4*j + 5 = -a + 34. Calculate the remainder when j is divided by l.
1
Let y = -300 - -505. Let b = 3 + 1. Suppose -b*t + y = t. Calculate the remainder when t is divided by 21.
20
Let t(k) = -7*k - 3. What is the remainder when 88 is divided by t(-3)?
16
Let k = -82 - -134. Suppose 0*g - 5*o - k = -2*g, -2*g + 2*o + 52 = 0. What is the remainder when 77 is divided by g?
25
Let j = 23 - 14. Let c(n) = -10*n - 74. Calculate the remainder when c(-10) is divided by j.
8
Let c(u) = -10*u**2 + 2*u + 1. Let z(o) = 5*o**2 - o. Let n(b) = 2*c(b) + 5*z(b). Calculate the remainder when 57 is divided by n(2).
17
Let c(x) = -7*x - 14. Let m be c(-5). Suppose m*b - 70 = 16*b. What is the remainder when 25 is divided by b?
11
Let g(s) = -s + 9. Calculate the remainder when 63 is divided by g(-7).
15
Calculate the remainder when (76/(-8))/((-1)/6) is divided by 15.
12
Let r(o) = o + 11. Let h = 1 - 6. Let c = h + 9. Calcu