 = -a**3 + 9*a**2 - 9*a - 4. What is the remainder when f(6) is divided by 19?
12
Suppose -3*d - 3*x = -18, d + 4*x = 4*d - 32. What is the remainder when d is divided by 4?
0
Let l(t) = -2*t**2 + 17*t - 7. What is the remainder when 66 is divided by l(7)?
10
Let a(u) = u + 3. Let k be a(7). Suppose -3*w + 10 = -w - 4*s, -2*w = 2*s - k. Suppose -16 - 4 = -w*c. Calculate the remainder when c is divided by 3.
1
Suppose 4*i - 8*i + 347 = -5*g, -g + 1 = 0. What is the remainder when i is divided by 30?
28
Suppose 3*w - 5*a - 113 = -25, -4*a + 44 = 2*w. Suppose -z + 11 = 2. What is the remainder when w is divided by z?
8
Suppose u + 2 = -5*b - 9, 0 = -2*u - 3*b + 6. Let w(f) = u*f**2 - 5*f - 3*f**2 - f**3 + 14*f. What is the remainder when 27 is divided by w(7)?
13
Suppose -2*g - z = -4, -4*z - 10 = -g - 4*g. Suppose -3*s + 2*b - 60 = 0, -s - g*s = 2*b + 60. Let a = s + 33. Calculate the remainder when 24 is divided by a.
11
Let m(k) = 84*k**2 - k. Suppose -7*v + 35 = -119. What is the remainder when m(-1) is divided by v?
19
Calculate the remainder when -3*1 - (-4 - (-260)/(-2)) is divided by 35.
26
Let n(c) be the first derivative of -17*c**2/2 - 5. Suppose 3*y + 0 + 7 = u, -3*u + 10 = 2*y. What is the remainder when 50 is divided by n(y)?
16
Suppose z - 10 = -s + 4*z, -5*z + 125 = 4*s. What is the remainder when 48 is divided by s?
23
What is the remainder when 12/((-5)/(-3) + -1) is divided by 4?
2
Suppose 0*v - v + 11 = 0. Calculate the remainder when 31 is divided by v.
9
Let z(h) = -h + 2. Calculate the remainder when z(-6) is divided by 2.
0
Let c(s) = s**2 - 1. Let g be c(1). Suppose g = y + 3*j - 52, y - j = -2*y + 156. What is the remainder when y is divided by 18?
16
Suppose 4*n - 7 = 5. Suppose 2*l + 22 = 2*f, 2*l + 34 - n = 3*f. Calculate the remainder when f is divided by 3.
0
Suppose 0 = 5*a - 3*a + 4. Calculate the remainder when 21 is divided by (-1)/a - 63/(-6).
10
Let s be (-2)/5*540/(-2). Suppose -4*v = -4*d + s, -4*d + v = -0*v - 102. Calculate the remainder when 49 is divided by d.
24
Suppose 0 = 2*m - 4*m + 4*l + 344, 3*m - 495 = -l. Suppose 3*r - m = -16. Calculate the remainder when r is divided by 17.
16
Calculate the remainder when (-756)/(-49)*(0 - -7) is divided by 14.
10
Let l(f) = -f**2 - 7*f - 5. Let x be l(-5). Suppose -x*z - 3*t + 68 = 0, -3*z + 3*t + 56 = t. What is the remainder when 63 is divided by z?
15
Suppose -u + 3 = -0*u. Let z(p) = 12*p - 7. What is the remainder when z(4) is divided by (u/12 - 1)*-28?
20
Suppose 2*i = 2*x + 10, -3*x = i - 0*x - 25. Calculate the remainder when 29 is divided by i.
9
Let x be -1 + 3 + (-2 - -5). Let t(j) = 2*j. Calculate the remainder when 28 is divided by t(x).
8
Let z(d) = d**2 + 12*d - 7. Suppose 5*w + 29 - 79 = 0. Calculate the remainder when w is divided by z(-13).
4
What is the remainder when 7 is divided by (2 - 0)*5/2?
2
Suppose 5*x - 8 = 2*i - 2, x + 3 = i. Calculate the remainder when i is divided by 3.
1
Let p = -112 + 192. Let y be 1106/154 - 4/22. Suppose -5*j + 85 = -2*f, -2*j - f = -y*j + p. Calculate the remainder when 44 is divided by j.
14
Let l = 75 - -5. Calculate the remainder when l is divided by 17.
12
Suppose x + 4*x - 315 = 0. Calculate the remainder when 503 is divided by x.
62
Calculate the remainder when 1150/5 + 0 + 0 is divided by 29.
27
Suppose -7 = -a - 0. Suppose a*y - 4*y = 42. What is the remainder when 27 is divided by y?
13
Let y(u) = -5*u**2 - 1. Let h be y(-1). What is the remainder when 15 is divided by (-4 - 0)/(h/9)?
3
Let c = -26 + 46. Calculate the remainder when 77 is divided by c.
17
Let a(m) = -89*m + 1. Let y be a(-1). Suppose 0*k - y = -3*k. Suppose 5*c - k = 2*c. Calculate the remainder when 18 is divided by c.
8
Let o = 20 - 11. Let h = o + -6. Suppose -30 = -h*g - 0*g. What is the remainder when 29 is divided by g?
9
Suppose 4*n - 15 = 4*j - n, 0 = 2*j + n - 3. What is the remainder when 43 is divided by j/(-4) + -1 + 16?
13
Let n = 3 - -1. What is the remainder when ((-3)/9)/((-1)/33) is divided by n?
3
Let j = 8 + -4. Suppose -5*i + 107 = -0*i - z, 86 = j*i - z. What is the remainder when i is divided by 12?
9
Suppose -r - 6*r + 532 = 0. Calculate the remainder when r is divided by 26.
24
Let w(t) = -t**2 + 9*t + 21. What is the remainder when 101 is divided by w(9)?
17
Let n = 88 + -42. Suppose -7 = -5*g + 18. Suppose g*v - 33 - 47 = 0. What is the remainder when n is divided by v?
14
Let k(f) = 42*f**2. Calculate the remainder when k(1) is divided by (57 + -2)*10/25.
20
Let b = -24 - -34. Let c = 104 - 101. What is the remainder when b is divided by c?
1
What is the remainder when 87 is divided by 18 - (-4)/(-1)*-1?
21
Let p(c) = c**3 - 8*c**2 - 15*c + 6. Calculate the remainder when p(10) is divided by 19.
18
Let s be 1 + (36 - 0)/3. Let t = -7 + 5. Let z = s + t. What is the remainder when 20 is divided by z?
9
Suppose 4*y = y + 144. Calculate the remainder when y is divided by -1 + 3/(6/52).
23
Let w(v) = -4*v - 3. Let y be w(-2). Let n(q) = 3*q + 7. Suppose -14 = -2*p - 5*l + 2, -2*p = -2*l - 16. Calculate the remainder when n(y) is divided by p.
6
Let d = 7 + 35. What is the remainder when d is divided by 24?
18
Let p(c) = -c**3 + 4*c**2 + 2*c + 6. Let w = 31 + 24. What is the remainder when w is divided by p(4)?
13
Let g = 7 - -11. Calculate the remainder when 70 is divided by g.
16
Let k(s) = -s - 3. Let c be k(0). What is the remainder when (1 + 7/c)*-6 is divided by 5?
3
Calculate the remainder when 16 is divided by (-5)/((-34)/12 + 2).
4
Suppose 4*g - 2*s = 98, 0 = -5*g - 2*s + 120 + 16. Calculate the remainder when g is divided by 4.
2
Suppose g = -4*g + 10. Suppose n + 3*n - 76 = -4*v, -g*v + 2*n = -22. Calculate the remainder when v is divided by 4.
3
Let w(h) = -h**2 - h + 2. Let t be w(0). Suppose 9*u - 4*u = -i + 41, -u + 6 = -t*i. Calculate the remainder when 31 is divided by u.
7
Let y = -221 - -320. Let t = y + -55. Calculate the remainder when t is divided by 23.
21
Let v = 1 + 0. What is the remainder when ((-2)/3)/((3/3)/(-3)) is divided by v?
0
Let o(i) = 2*i**2 - 2*i. What is the remainder when o(-3) is divided by 9?
6
Let h = -21 - -38. Calculate the remainder when h is divided by 7.
3
Suppose 5*y + 7 = -18. Let c(f) = 2*f**2 + f - 6. Calculate the remainder when c(y) is divided by 10.
9
Let j(k) = k**2 + 13*k + 10. Suppose -82 = -3*v - 22. What is the remainder when j(-16) is divided by v?
18
Let z be 1*0/(0 - -2). Suppose 2*t + 4*v - 1 = 1, 4*v = z. Suppose -3*f - 2 = -8. Calculate the remainder when f is divided by t.
0
Let p(j) = -6*j**3 - j**2 + 4*j + 3. What is the remainder when p(-2) is divided by 14?
11
Let q(j) = j**2 - 5*j. Let t = -5 - -9. Suppose -2*o + 4*h - h = -5, -o + 30 = t*h. Calculate the remainder when o is divided by q(6).
4
Let r(m) = 3*m**3 - 3*m**2 + 1. Suppose -3*u + 4*u = 1. What is the remainder when 1/(u/25 + 0) is divided by r(2)?
12
Let c(x) = 5*x - 18. What is the remainder when 12 is divided by c(4)?
0
What is the remainder when 48 is divided by (-32)/(-3) - (-4)/(-6)?
8
Let i(m) = 7 + 3 - 10*m - m**2 + m**3 + 9*m. Let v be i(0). Calculate the remainder when 39 is divided by 8/v*(33 - 8).
19
Suppose -2*z + 5*j + 26 = 0, -3*j = 2*z + 1 + 5. What is the remainder when 86 is divided by -36*(-2)/z - 2?
20
Suppose -5*g + 54 = -2*g. Let s = -2 - -5. Suppose -130 = -4*m + s*o, 0 = 3*o - 6. Calculate the remainder when m is divided by g.
16
What is the remainder when 5 is divided by 4/(-18) + (-58)/(-18) + -1?
1
Suppose 5*z + 0 = -q + 25, -3*q = 4*z - 31. Suppose 4*a + 0 - z = 0. What is the remainder when 2 is divided by a?
0
Calculate the remainder when 10 is divided by 1*3 - (-1 - 3).
3
Suppose 3*o - 89 = 28. What is the remainder when o is divided by 15?
9
Let x(j) be the second derivative of j**4/12 - 7*j**3/6 + 5*j**2/2 - 5*j. What is the remainder when 50 is divided by x(8)?
11
Let w = 12 + -4. Let f = w + -1. Suppose 0 = 4*z + z - 125. What is the remainder when z is divided by f?
4
Let i = -10 - -13. Suppose -3*z = -i*g + 78, -2*z + 4*z = -2*g + 60. What is the remainder when 81 is divided by g?
25
Let b be (-4)/(-1) + 0 - 0. Let u be 0 + 1 - b*1. What is the remainder when 29 is divided by (-28)/u - 2/(-3)?
9
What is the remainder when (-124)/(-10) + 4/