z = -z + 108. Let l = z + 42. What is the remainder when 2/4 + 174/4 is divided by l?
14
Suppose 0 = 7*i - 779 - 670. What is the remainder when i is divided by 52?
51
Suppose -2*q + 28 = -32. Let u(a) be the second derivative of -a**5/10 - a**4/3 - a**2 - a. Calculate the remainder when q is divided by u(-3).
14
Let y be (-35)/14*(-4)/5. Suppose -5*l - y = -82. Suppose 0 = 4*b - 8*b + l. Calculate the remainder when 10 is divided by b.
2
Suppose -w + d = 4*w + 15, -21 = 3*w - 3*d. Let j(s) = 2*s**2 - 2*s - 2. Calculate the remainder when 19 is divided by j(w).
9
Let c = 77 - 75. Let a(j) = -j**3 + 7*j**2 + j - 5. What is the remainder when a(7) is divided by c?
0
Suppose 2*j + 71 = 3*q - 45, -4*q + 156 = -4*j. Let r = -22 + q. What is the remainder when r is divided by 1/(0 + 1/9)?
7
Let t = -50 - -99. What is the remainder when t is divided by 5?
4
Let u = 10 - 10. Suppose u = 3*b - 9 - 18. What is the remainder when 24 is divided by b?
6
Suppose -3*m = o - 41, 0 = o + 2 - 1. What is the remainder when m is divided by 8?
6
Suppose 2*u = 216 + 8. What is the remainder when (-3)/(-9) - u/(-6) is divided by 6 + (1 - 4) - -4?
5
What is the remainder when 80 is divided by 21/(-2)*5/((-30)/8)?
10
Let z be 19/2 - (-5)/10. Let b = 14 - z. Suppose -b*a = -a - 21. Calculate the remainder when 13 is divided by a.
6
Suppose u - 130 = 4*b + 77, 2*b = 2*u - 102. Let o be 3/2 + b/(-8). Let a(r) = -r**3 + 8*r**2 + 2*r - 10. What is the remainder when a(o) is divided by 2?
0
Calculate the remainder when 8*4 + (-184)/(-23) is divided by (42/(-15))/((-2)/10).
12
Let t = 0 - -3. Suppose -4*v = 4*y - 16, -14 = -t*v - 3*y + 2*y. Calculate the remainder when (v - 0)*3/3 is divided by 2.
1
Let p(d) = 5*d - 10. What is the remainder when 49 is divided by p(7)?
24
Let y(z) = -15*z + 25. Let f(a) = -8*a + 13. Let x(h) = 11*f(h) - 6*y(h). Suppose -24 = 5*l - 124. Calculate the remainder when l is divided by x(9).
9
Let h = 52 + -36. Suppose x - 45 = -h. Calculate the remainder when x is divided by 11.
7
Let q(h) = -h**2 + 14*h - 9. What is the remainder when q(6) is divided by 21/(-2)*12/(-9)?
11
Calculate the remainder when 18 is divided by (-243)/(-45) + (-2)/5.
3
What is the remainder when ((-186)/5)/(18/(-60) - 0) is divided by 25?
24
What is the remainder when (4 + -29)*((-4)/1 - -3) is divided by 14?
11
Suppose 2*t - 32 = 14. What is the remainder when t is divided by 12?
11
Suppose 3*h = 6*d - d + 104, 4*d = 5*h - 169. What is the remainder when h is divided by 18?
15
Suppose -h + 3*f = 17, 63 = -4*h + 2*f - 25. Let v = -10 - h. What is the remainder when 24 is divided by v?
11
Let x = 7 - 4. Calculate the remainder when 11 is divided by 21/7 + 1*x.
5
Suppose -4*k + 8 = 0, 2*k + 81 = 5*l - 95. What is the remainder when 140 is divided by l?
32
What is the remainder when 8/4 - (-1 + -28) is divided by 8 + 0/2*1?
7
Suppose 5*w - 41 = 2*r, 4*w - 4*r = 18 + 22. Suppose s = -s + 38. Calculate the remainder when s is divided by w.
5
Suppose -2*x + 3 + 17 = 0. Calculate the remainder when (-327)/(-9) + 4/6 is divided by x.
7
Let a(q) = -28*q**3 + q**2 - q - 1. Calculate the remainder when 114 is divided by a(-1).
27
Let f(z) = z + 42. Calculate the remainder when 53 is divided by f(-14).
25
Suppose 5*z + 5*b = 3*b + 80, -2*z = -3*b - 13. Let a = -2 + 3. Suppose -2*x - 3*o + 16 = 0, 5*o = x - 7 - a. Calculate the remainder when z is divided by x.
6
Let o(h) = 7*h - 1. Let p = -2 + 5. Calculate the remainder when o(p) is divided by 7.
6
Suppose -7*y + 13 = r - 2*y, 2*r - 26 = -3*y. Calculate the remainder when r is divided by 5.
3
Suppose 5*w - 6*p = -3*p + 25, 1 = 3*w + p. Suppose 2*q - w = -4*i + 6, 2*i - 12 = q. Calculate the remainder when 6 is divided by i.
2
Suppose 3*v - 21 = 138. Let s = 28 - 10. What is the remainder when v is divided by s?
17
Let v(b) = -1 + b + b**2 + 4 + 3 - 2. Let k be v(0). Let w = k + 7. What is the remainder when w is divided by 4?
3
Let a(z) be the third derivative of z**5/60 + z**4/24 + z**3/3 - 4*z**2. What is the remainder when 25 is divided by a(-4)?
11
Let p = 4 - 2. Suppose -5*f + p*f - 265 = -5*n, 4*f - 130 = -3*n. Calculate the remainder when n is divided by 17.
16
Suppose 3*a - 27 - 33 = 4*f, -4*a + 2*f = -80. Calculate the remainder when a is divided by 4 + 3 + 2 - 2.
6
Suppose 4 = q + 2. Let x = q + 11. What is the remainder when 25 is divided by x?
12
Let u(k) = k**3 + 8*k**2 - 2*k - 9. Let i = 5 + -3. Let p = i - 10. What is the remainder when 18 is divided by u(p)?
4
Let r(h) be the second derivative of h**4/12 + 7*h**3/6 + 5*h**2/2 - 3*h. What is the remainder when r(-9) is divided by 8?
7
Suppose -2*l + l = s - 49, -6 = -3*l. Calculate the remainder when s is divided by 13.
8
Suppose -2*q = q + 36. Let a be ((-80)/(-15))/((-1)/q). Suppose -3*d + 21 = -3*w - 39, 0 = -4*d - 4*w + a. Calculate the remainder when 34 is divided by d.
16
Let i = -19 - -38. Let w(k) be the first derivative of k**4/4 - 2*k**3 - 2*k**2 - 10*k - 1. What is the remainder when i is divided by w(7)?
8
Let r = 1 + -1. Suppose r = -g + 4*b, 0 = -5*g + 3*b - 4*b + 42. Calculate the remainder when 28 is divided by g.
4
Let z(y) = 4*y + 36. What is the remainder when 57 is divided by z(-6)?
9
Let o(r) = r**2 - 5*r - 8. Let j(v) = -v + 2. Let q be j(-5). Suppose -z - k + 13 = -0, -15 = -3*z + 5*k. Calculate the remainder when z is divided by o(q).
4
Let l be ((-9)/4)/(1/8). Let s = 34 + l. Let f = s + -3. What is the remainder when 37 is divided by f?
11
Suppose 4*h = -0*h + 48. What is the remainder when ((-174)/h)/((-1)/2) is divided by 10?
9
Suppose -5*d + 3*l = -2*d + 9, -6 = d - 2*l. Suppose -2*w = -d*w - x - 12, -4*w + 4*x = -20. Let h = 15 + -3. Calculate the remainder when h is divided by w.
5
What is the remainder when 8/56 - 384/(-7) is divided by 0 + 18 - (-4 + 3)?
17
Let k = -5 + 13. Suppose 0 = -2*l - 3*l, -3*b + l - 18 = 0. Let h(m) = -2*m - 7. What is the remainder when k is divided by h(b)?
3
What is the remainder when (98/4)/(1/2) is divided by (-26 + 0)/(2*-1)?
10
Suppose -5*r + 6*n - 3*n + 158 = 0, -r + 34 = -3*n. Calculate the remainder when r is divided by 18.
13
Let t = 14 - -14. Let q = t - 11. Suppose -89 = -2*m - q. What is the remainder when m is divided by 19?
17
Let c(h) = -h**2 + 13*h. Suppose -5*m + 23 + 37 = 0. Calculate the remainder when c(11) is divided by m.
10
Let n = 72 + -26. What is the remainder when n is divided by 16?
14
Suppose u - 2 - 5 = 4*o, -5*u + 3*o + 18 = 0. Suppose -h + u = 2*h. What is the remainder when 0 - -4 - (0 + h) is divided by 1?
0
Let f = 5 + -3. Suppose 3*q + 3 = 3*u, -5*u + f + 11 = -3*q. Suppose -5*c - 4*g + 25 = 0, c + u*g - 3 = 2. Calculate the remainder when c is divided by 2.
1
Let p = -4 + 14. Calculate the remainder when 19 is divided by p.
9
Let k(f) = -f**2 + 6*f - 1. Calculate the remainder when 9 is divided by k(5).
1
Let f(s) = s + 16. Let k be (-4)/10 - (-440)/(-25). Let d = k - -10. Calculate the remainder when 31 is divided by f(d).
7
Let t(j) be the third derivative of -j**6/120 + j**5/5 - 11*j**4/24 + 2*j**3 - 4*j**2. Calculate the remainder when 35 is divided by t(11).
11
Let l(u) = -8*u + 10. What is the remainder when 75 is divided by l(-2)?
23
Let x(m) = -2*m + 1. Let n(k) = -5*k + 2. Let t be (9/12)/(2/24). Let w(d) = t*x(d) - 4*n(d). Calculate the remainder when 32 is divided by w(5).
10
Let k = 32 - -6. Let p = 31 - 18. Calculate the remainder when k is divided by p.
12
Let y(b) = 3*b**2 + 26*b + 11. Let z(q) = -2*q**2 - 17*q - 7. Let u(g) = 5*y(g) + 8*z(g). Let w = -8 + 18. What is the remainder when w is divided by u(-5)?
2
Suppose 0 = -x - 2 + 7. Suppose -14 + 44 = x*j. Calculate the remainder when 17 is divided by j.
5
Suppose 9*p - 460 = 5*p. What is the remainder when p is divided by 29?
28
Let f(i) = i**3 + 6*i**2 - 3*i - 9. What is the remainder when 33 is divided by f(-6)?
6
Let k be 3/(-2) - 49/(-14). Suppose -3*d - z = -0*z - 200, -134 = -k*d - z. What is the remainder when d is divided by 23?
20
Suppose 0 = 2*i - 5*i - 4*w + 6, 0 = w. Calculate the remainder when 6 is divided by i.
0
Let f(r) = -r + 23. What is the remainder when 6 is divided by f(18)?
1
Suppose -2*l + 154 = 9*l. Calculate the remainder when (-8)/20 - 132/(-5) is divided by l.
12
Suppose 