j = u + 118. Calculate the remainder when j is divided by 20.
18
Suppose -i - 2*i = -105. What is the remainder when i is divided by (-9)/(-6) - (11/(-2) - 2)?
8
Suppose -d + 32 - 1 = 0. Let n = 12 - -16. Let i = 39 - n. What is the remainder when d is divided by i?
9
Suppose 3*z = -2*z + 3*y - 377, 0 = -3*y + 12. Let p be -6*1/2*17. Let q = p - z. What is the remainder when q is divided by 8?
6
Suppose 0 = 2*v + 3*v + 2*p - 228, -28 = -v + 4*p. What is the remainder when v is divided by 12?
8
Let g = 12 + -7. Suppose -5*f = -p - 67, 36 = 4*f + g*p - 6. Calculate the remainder when f is divided by 4.
1
Let h(w) = w**2 + 5*w - 35. Suppose -p = -0*p - 3. Calculate the remainder when p is divided by h(4).
0
Let f(c) = 3*c**2 + c. Let i be f(1). Suppose -35 = -r - i*r. What is the remainder when 20 is divided by r?
6
Suppose -17 = -5*z + 33. Calculate the remainder when 74 is divided by (-93)/(-5) + z/25.
17
Let m = 5 - 0. Suppose 36 = 2*x + m*s, 11 = 2*x + 4*s - 21. What is the remainder when 23 is divided by x?
7
Let s(z) = z**3 + 10*z**2 + 10*z + 20. Calculate the remainder when s(-7) is divided by 25.
22
Let m = -39 - -76. What is the remainder when m is divided by (-123)/(-12) + (-3)/12?
7
Suppose 2*g = g + 16. What is the remainder when 29 is divided by g?
13
Let f(a) be the first derivative of a**2/2 + 16*a - 4. Calculate the remainder when f(11) is divided by 15.
12
Let b = 95 - 80. What is the remainder when 18 is divided by b?
3
Let f = -2 - -20. Calculate the remainder when 87 is divided by f.
15
Let t be 10*1 + (-1)/1. Let a = -29 - -29. Let k = a + t. What is the remainder when 35 is divided by k?
8
Let b be (1 - 3) + 15 + 21. Let l = b - 8. What is the remainder when l is divided by 9?
8
Let d(g) be the first derivative of -g**2 - 3*g - 3. Let c = 50 + -29. Calculate the remainder when c is divided by d(-7).
10
Let m = 31 + -14. Suppose 3*j = -5*k + 8, -2*j + 3*j = -4. Suppose k*i = -4*s + 4, 0*i = -5*i - 25. Calculate the remainder when m is divided by s.
5
Suppose 4*z + 3*r = 144, -3*r = -z - 2*r + 36. What is the remainder when z is divided by 14?
8
Let x(p) = -6*p - 5. Calculate the remainder when x(-12) is divided by 34.
33
Let p(y) = y**2 + 7*y - 10. What is the remainder when 39 is divided by p(-9)?
7
Suppose 3*l - 154 = -4*l. Let b = 8 - 6. Suppose -5*d = 3*z + b*z - 65, 0 = d - 3*z - 9. Calculate the remainder when l is divided by d.
10
Let a(y) be the second derivative of 11*y**3/6 + y**2/2 - 3*y. What is the remainder when a(4) is divided by 12?
9
Let f(p) = p**3 - p**2 - 1. Let t(a) = -6*a**3 - 9*a**2 - 16*a + 23. Let b(s) = 5*f(s) + t(s). Calculate the remainder when b(-13) is divided by 20.
17
Let r(m) = -4*m**2 - 2*m - 1. Let b be r(-1). What is the remainder when 10 is divided by (-5)/(-15)*(b - -21)?
4
Suppose -7*j + 2*j + 175 = 0. Suppose -w = 4*w - 120. Suppose p = 3*p - d - w, -24 = -2*p + 5*d. What is the remainder when j is divided by p?
11
Suppose -2*p + 85 = 3*p. Suppose p = 2*k + 3. What is the remainder when 20 is divided by k?
6
Let x(l) = l**2 + 4*l + 6. What is the remainder when 9 is divided by x(-4)?
3
Suppose -4*g = -g - 90. Let q(k) = -k**3 + 10*k**2 + 13*k - 6. Calculate the remainder when g is divided by q(11).
14
Let f = 6 - 3. Suppose f*s = 11 + 4. Suppose s*u - 93 = 2. Calculate the remainder when 36 is divided by u.
17
Let z(q) = -30*q + 2. Calculate the remainder when z(-2) is divided by 21.
20
Suppose 20 = -9*b + 4*b. Calculate the remainder when b/6 + 224/12 is divided by 10.
8
Suppose -l + 10 + 10 = 0. Calculate the remainder when 98 is divided by l.
18
Let r(u) = u**3 - 12*u**2 + u + 13. Calculate the remainder when r(12) is divided by 7.
4
Suppose -4*s + 15 = 5*l + 3, 5*s - 20 = -5*l. Suppose -7*o + 3*o + 92 = 0. Calculate the remainder when o is divided by s.
7
Suppose -102 = l - 160. What is the remainder when 171 is divided by l?
55
Suppose 0 + 4 = a. Calculate the remainder when (a*-7)/(-2) - 2 is divided by 7.
5
Suppose 5*y + 3*k - 16 = -0*y, -5*y - 2*k + 14 = 0. Suppose 0*w + y*w - 20 = 0. Let r(h) = 11*h - 6. What is the remainder when r(4) is divided by w?
8
Let k = -13 + 29. Let r = -6 + k. What is the remainder when 27 is divided by r?
7
Let v(n) = -n**2 + 3*n - 3. Let j(s) = -s**2 + 6*s + 3. Let i be j(7). Let o be v(i). Let w = o - -55. What is the remainder when w is divided by 9?
6
Let b(t) = -t**2 - 8*t - 5. Let n(c) = -2*c**2 + 5*c - 2. Let f be n(3). Let s = -8 - -26. Calculate the remainder when s is divided by b(f).
8
Let g(l) = 83*l + 14. What is the remainder when g(2) is divided by 14?
12
Let i(l) = -l**2 + 8*l**2 + l - 3 + 0*l + l**3. Suppose -42 = -t - 5*p, -2*p + 0*p = -4*t + 80. What is the remainder when i(-5) is divided by t?
20
Let q = 62 + -23. Suppose 5*m = 28 + 42. What is the remainder when q is divided by m?
11
Let q be (-24)/(-10) + 10/(-25). Suppose 0*n + 3*n = 99. Suppose n = q*a + a. Calculate the remainder when 43 is divided by a.
10
Suppose 2*b = 3*w - 5*w + 10, 7 = 2*b - w. Let p(t) = 2*t - 4. Calculate the remainder when b is divided by p(3).
0
Suppose 3*j + 4*h - 7 + 2 = 0, 0 = 2*j + 5*h + 6. Let a = 0 + j. What is the remainder when 27 is divided by a?
6
Suppose -f + 2*f - 25 = 0. Calculate the remainder when f is divided by 3.
1
Let z = 9 - 15. Let x(p) = -p**2 - 5*p + 3. Let d be x(z). Let f = d - -15. Calculate the remainder when 34 is divided by f.
10
Suppose 3*s - 20 = 2*v, -4*s = -0*s - 16. Let z = 0 - v. Calculate the remainder when 15 is divided by z.
3
Let a = 19 + -31. Let f = 1 - a. Calculate the remainder when 37 is divided by f.
11
Let t(k) be the first derivative of 10*k**3/3 + 2*k**2 + 3*k + 5. Suppose 3*g - 6*f + 8 = -4*f, 0 = -2*f + 2. Calculate the remainder when t(g) is divided by 9.
8
Let c = 55 + -28. What is the remainder when c is divided by 10?
7
Suppose 0 = -2*l - 4, -7*l = -b - 2*l + 135. Calculate the remainder when b is divided by 42.
41
Let z = 17 + -27. Let x be ((-8)/(-6))/(z/(-15)). Let d = x - -11. What is the remainder when 24 is divided by d?
11
Let k(x) = -x**2 - 11*x - 6. Let v be k(-10). Suppose -10 - 10 = -v*y, -5*l + 85 = 3*y. What is the remainder when l is divided by 8?
6
Let a(u) = 4*u**3 - u**2 + 1. Suppose 0 = t + 4*t - 5. Suppose 5*z = 6 - 31, -3*h - 9 = 3*z. Calculate the remainder when a(t) is divided by h.
0
Let o(a) = -a**2 + a + 7. Calculate the remainder when o(0) is divided by 5.
2
Let h(t) = -16*t**3 + t**2 + 2*t + 1. Let m(o) = o**3 + 5*o**2 - o + 1. What is the remainder when h(-1) is divided by m(-5)?
4
Let m(q) = -16*q - 18. What is the remainder when m(-6) is divided by 16?
14
Suppose 4*t - 5*j - 79 = 0, -1 = -2*j + 9. Let u(w) = -29*w + 1. What is the remainder when u(-1) is divided by t/3 + (-2)/3?
6
Let s be (-3)/((-13)/(-8) + -2). Suppose -n + 0 = -s. Calculate the remainder when 12 is divided by n + 2*3/(-6).
5
Suppose -2*b - 130 = -5*f, -f - 2*f + 2*b + 78 = 0. Calculate the remainder when f is divided by 7.
5
Suppose -9 = -0*j - j. Suppose 4*r - 5 = -5*s, -1 = -2*r + s - 2. Suppose 0*i - 3*i + 15 = r. Calculate the remainder when j is divided by i.
4
What is the remainder when (33/99)/(1/81) is divided by 21?
6
Let s(v) = -v**3 + 23*v**2 + 24*v + 1. Calculate the remainder when 3 is divided by s(24).
0
Let d(r) = -2*r**2 + 16*r + 7. Calculate the remainder when (-178)/(-10) - (-3)/15 is divided by d(8).
4
Let t = 0 + 0. Suppose t = 4*m - 0 - 4. Let u(a) = 12*a**2 + 2*a - 1. What is the remainder when u(m) is divided by 7?
6
Let w(i) = 6*i**2 + i. Let d be w(-1). Suppose d*r = -0*r + 25. Suppose 4 - 129 = -r*s. Calculate the remainder when s is divided by 9.
7
Let r(d) = d**3 + 13*d**2 + 5*d + 1. Let u be r(-12). Suppose -2*q + l = -u, 0 = q + 3*l - 52 + 13. Calculate the remainder when q is divided by 22.
20
Suppose 6*q - 18 = 3*f + q, -3*q - 6 = f. Let w(y) = y**2 + 2*y - 5. Calculate the remainder when w(f) is divided by 10.
9
Let d(s) = s**2 + 4*s - 1. Let t be d(-4). What is the remainder when 36 is divided by 12 - 2*t/2?
10
Suppose 3*z + 2*x = -z + 48, 3*x = -2*z + 16. Calculate the remainder when 38 is divided by z.
10
Suppose -2*k - 6 = 0, -4*j + k - 5*k + 76 = 0. What is the remainder when 37 is divided by j?
15
Let y be ((-3)/(-4))/(6/16). What is the remainder when 1