Suppose 9 = u*z - z. What is the remainder when 4 is divided by z?
1
Let d be (-3 + (0 - -1))/(-1). Let l(c) = -c + 7. Calculate the remainder when 35 - 2 - (d - 4) is divided by l(-5).
11
Let r = -3 + 5. Suppose -3*m + 6*m - 6 = 0. Suppose b - 15 = r*p, -b = -p + m*p. Calculate the remainder when 8 is divided by b.
3
Suppose 4*x - 2 = -a - x, 0 = -a - 3*x + 12. Suppose 3*r = a - 0. What is the remainder when r is divided by 4?
1
Suppose -6*b = -4*b - 14. Let f = 69 - 31. What is the remainder when f is divided by (b - -2) + (4 - 3)?
8
Suppose -10*c + 16 = -164. Calculate the remainder when 65 is divided by c.
11
Let y(d) = -d**3 + d**2 + 2*d + 1. What is the remainder when 16 is divided by y(-2)?
7
Let f(d) = -2*d - 4. Let t be (-3 - (6 - 2)) + 3. What is the remainder when f(t) is divided by 1 - ((-2)/(-2))/(-1)?
0
Let l = 38 + -31. Suppose -5*t + 200 + 45 = 0. Suppose -j + t = 4*i, 9*j = -5*i + 4*j + 65. Calculate the remainder when i is divided by l.
5
Suppose 116 + 54 = 5*o. Calculate the remainder when o is divided by 6.
4
Let m = 16 + -22. Let n = m - -7. What is the remainder when 2 is divided by n?
0
Let n(y) = 2*y**2 - 7*y - 5. Let l be n(-4). Let o(t) = 2*t**2 + 4*t - 5. Let q be o(5). Suppose -3*x + q = -l. What is the remainder when x is divided by 14?
12
Let g(z) = -z**3 - 5*z**2 + 7*z + 1. What is the remainder when g(-7) is divided by 19?
12
Suppose 25*t = 12*t + 1729. Calculate the remainder when t is divided by 35.
28
What is the remainder when (-21)/(-42) - 109/(-2) is divided by 19?
17
Suppose 3*z + 2*z + 70 = 0. What is the remainder when 57 is divided by (-2 - -1 - z) + 2?
12
Let m = -28 + 88. What is the remainder when m is divided by 21?
18
Let u(o) = o**2 + 24. Calculate the remainder when 1678/18 + 30/(-135) is divided by u(0).
21
Let h(y) = y**3 - y**2 - y + 1. Let j(i) = 4*i**3 + 2*i**2 - 11*i - 1. Let a(l) = -5*h(l) + j(l). Calculate the remainder when a(5) is divided by 8.
6
Let v = -2 + 10. What is the remainder when (-1 + -11)*65/(-26) is divided by v?
6
Let r(v) = v**2 - 8*v - 21. What is the remainder when r(12) is divided by 7?
6
Let y = 124 + -98. Let r(o) = 5*o - 6. Let f(v) = 4*v**2. Let c be f(1). What is the remainder when y is divided by r(c)?
12
Let l(y) = -y**3 + 3*y**2 + 6*y - 3. Calculate the remainder when 19 is divided by l(4).
4
Suppose -3*u + 0*u = -162. Calculate the remainder when u is divided by 14.
12
Suppose -26 = -3*y + 5*v, -5*v + v - 4 = 0. What is the remainder when 16/(-3)*36/(-16) is divided by y?
5
Let l(g) = -2*g - 3. Let i(n) = -n**2 - 6*n + 1. Let p be i(-4). Suppose 7 = 4*a - p. Calculate the remainder when l(-9) is divided by a.
3
Let r = -59 - -104. Let s = r + -22. What is the remainder when s is divided by 12?
11
Let k(b) = -4*b + 6. Let l(c) = -c + 1. Let f(y) = k(y) - l(y). Calculate the remainder when f(-4) is divided by (10/(-6))/(3 + 118/(-36)).
5
Let b(q) = q**2 - 4*q + 7. What is the remainder when 67 is divided by b(6)?
10
Let r = -45 + 86. What is the remainder when r is divided by (-24)/(-6)*7/2?
13
Let d = -11 - -64. Calculate the remainder when d is divided by 14.
11
Let b = 4 + 1. Calculate the remainder when 18 is divided by b.
3
What is the remainder when 50 - (-1)/3*0 is divided by 17?
16
Suppose 3*k + 3*p = 0, -9 - 3 = -2*k + p. Suppose -m = k*m - 25. What is the remainder when 14 is divided by m?
4
Suppose -2 = 2*o - 4*o + 3*h, -4*h - 8 = 0. What is the remainder when 2 + (-2 + 7 - o) is divided by 4?
1
Calculate the remainder when (312/9)/(-1 + 4/3) is divided by 18.
14
Suppose -3*z = v - 0*v + 10, -v - z - 2 = 0. Let o = -4 + 5. Let m(p) = 4*p - 1. Calculate the remainder when m(o) is divided by v.
1
Let j = -104 + 117. Calculate the remainder when 64 is divided by j.
12
Suppose 4 = -s + 5. Let o be 0*(-2)/4 + 5. Suppose -8*t + 3*t = -o. What is the remainder when t is divided by s?
0
Suppose -3*j - 1 + 16 = 0. Suppose 65 = j*s + a, 0*a = -4*s + a + 43. Calculate the remainder when 8/4*(-1 - -12) is divided by s.
10
Let n(j) = -3*j + 7. What is the remainder when 123 is divided by n(-8)?
30
Let u = 9 + -8. Calculate the remainder when 4 is divided by u.
0
Let h be ((-68)/(-10) - 0)*-10. Let q(x) = 67*x**3 - 2*x**2 + 4*x - 2. Calculate the remainder when q(1) is divided by (h - 1)*(-1)/3.
21
Let r(i) = i**2 + 6*i - 3. Let z be r(-6). Let u be (z - -3) + (26 - 1). What is the remainder when 22 is divided by (10/u)/(2/60)?
10
Let f be (-2)/(-8) - (-108)/16. Suppose f*a - 6*a - 12 = 0. What is the remainder when 57 is divided by a?
9
Let i(k) = 4*k - 1. Let r be i(3). Let u = r - 7. What is the remainder when u is divided by 3?
1
What is the remainder when 87 is divided by 315/14*(-4)/(-6)?
12
Suppose h + 3 = 2*a + 30, -3*h = 2*a - 73. Let g = -14 + h. What is the remainder when 6/(-33) - 233/(-11) is divided by g?
10
Let g(w) = w**2 - 1. Let p be g(5). Let l = 46 - p. Calculate the remainder when l is divided by 8.
6
Let s = -129 - -165. Calculate the remainder when 64 is divided by s.
28
Suppose 45 = 50*f - 45*f. Calculate the remainder when 79 is divided by f.
7
Let t = 31 + -20. What is the remainder when 41 is divided by t?
8
Suppose -n + 59 = -10. Suppose -3*y + 33 = -n. Let u = y - 18. What is the remainder when 31 is divided by u?
15
Let k(i) = 2*i. Let b be k(2). Suppose -5*l = -0*l - 25. Suppose -l*g + 22 = a, 0 = b*a + 3*g - 2*g - 50. What is the remainder when 35 is divided by a?
11
Calculate the remainder when (39 - 2)*(-2 - -3) is divided by 19.
18
Let o(g) be the third derivative of g**5/60 + 7*g**4/24 - g**3 + g**2. Let p = -2 + -6. What is the remainder when 2 is divided by o(p)?
0
Let i = 34 - 19. Let s(z) = -z + 14. What is the remainder when i is divided by s(6)?
7
Let v = -17 - -19. Calculate the remainder when 20 is divided by v/((-30)/9)*-10.
2
Suppose 0 = -61*l + 70*l - 306. What is the remainder when 101 is divided by l?
33
Suppose 2*t = -3*t + 100. Let b(z) = z**3 + 6*z**2 - 2*z + 2. Let x be b(-6). Let v = x - 7. What is the remainder when t is divided by v?
6
Let z = 27 + -52. Let s = z + 56. What is the remainder when s is divided by 11?
9
Let f(l) = -l**3 - 4*l**2 - 2*l - 2. Let t = -12 - -8. What is the remainder when 22 is divided by f(t)?
4
Let m(y) = -y**3 + 9*y**2 - 2*y - 19. What is the remainder when m(8) is divided by 16?
13
Suppose -5*m - 3*j - j + 629 = 0, 5*m - 5*j - 665 = 0. Calculate the remainder when m is divided by 26.
25
Suppose -4*r + 289 = i, 0*r + r - 76 = -4*i. Suppose -4*t + 28 = -32. What is the remainder when r is divided by t?
12
Let f = 24 + -15. What is the remainder when 5 is divided by 3/((-2)/((-12)/f))?
1
Let r = 4 - 0. Suppose -6 = -i + 2*a - 3*a, 4*i - 14 = a. Suppose 52 = 4*j - i*y, j + 3*y + 2 = 3. What is the remainder when j is divided by r?
2
Suppose -2*u + 0*u = -d - 132, -203 = -3*u + 4*d. Calculate the remainder when u is divided by 22.
21
Suppose -v = -0*v - 3. Let j be (-2*v)/((-15)/620). Suppose 0*b = -4*b + j. What is the remainder when b is divided by 21?
20
Let d(p) = 2*p + 19. Calculate the remainder when 53 is divided by d(5).
24
Let k be 9*1*(3 + -4). What is the remainder when 1 is divided by ((-1)/3)/(k/27)?
0
Let w(i) be the second derivative of -i**5/20 - i**4/2 + 2*i**2 - 2*i. Let d be w(-6). What is the remainder when 28*(-5)/d*-1 is divided by 12?
11
Let a(p) = 2*p + 5. What is the remainder when a(4) is divided by 5?
3
Let d = -4 + 6. Suppose d*c + 2*z - 42 = 0, -5*c = -4*z - 61 - 17. Let q = 19 + -9. What is the remainder when c is divided by q?
8
Suppose f - 20 = -4*j, -f - f - 8 = 0. Let c = 0 - -8. Calculate the remainder when j is divided by (1 + -11)*c/(-20).
2
Let z(m) = -m**3 - 10*m**2 - 11*m + 5. Let d be z(-10). Suppose 0 = 5*k + 10, -3*k = 3*u + 43 - d. Calculate the remainder when u is divided by 45/20*(4 + 0).
8
Let i = -6 - -3. Let r(d) = d**3 + 4*d**2 - 2*d - 4. Suppose -q + 7 = -n, 0 - 5 = 5*n. What is the remainder when r(i) is divided by q?
5
Let c be (-1 - 4)*(4 + -3). Let m(b) = -b**3 - b**2 - 6*b + 2. Let z be m(c). Suppose 33 = -3*v + z. What is the remainder when v is divided by 17?
16
Let f(j) = j**2 - 6*j + 5. Suppose -2*i + 16 = -0*i. What is the remainder when 82 is divided by f(i)?
19
Suppose 13 = 4*n - 3, o - 13 = 3*n. Suppose 0 = k + k - 2