nder when v is divided by 27.
23
Suppose 5*w - 8*w - 5*b + 60 = 0, -b = 3*w - 60. Calculate the remainder when 98 is divided by w.
18
Let v(a) be the third derivative of -a**6/360 - a**4/12 - 2*a**2. Let f(z) be the second derivative of v(z). What is the remainder when 19 is divided by f(-5)?
9
Let t(u) = 12*u**2 + 4*u + 4. Calculate the remainder when t(-2) is divided by 23.
21
Let c(u) be the third derivative of -1/12*u**4 + 0*u - 5/6*u**3 + 0 - u**2. Calculate the remainder when c(-7) is divided by 5.
4
Suppose w + 2*w = 3*z - 12, 2*z + 3*w - 33 = 0. What is the remainder when z is divided by 5?
4
Let x = 22 + -18. Calculate the remainder when x is divided by 1.
0
Let p = 7 + -5. Suppose -p*t = -7*t + 60. Let r = 59 + -36. Calculate the remainder when r is divided by t.
11
Let x = 5 + -3. Suppose -x*u + 165 = 5*a, 0 = -3*u - 2*u. Calculate the remainder when a is divided by 9.
6
Let p(w) = -w + 7. Let c be 2/3*9/(-6). What is the remainder when c*46*(-1)/2 is divided by p(-6)?
10
Suppose 4*x - 2*u - 78 = 0, -4*u + 27 = 2*x - u. What is the remainder when 70 is divided by x?
16
Let y(l) = l**2 + 9*l - 20. Calculate the remainder when 5 is divided by y(-11).
1
Let p(r) = 8*r**2 + 4*r + 1. Calculate the remainder when p(3) is divided by 22.
19
Let i = 7 - 4. Calculate the remainder when (-50)/40 + 29/4 is divided by i.
0
Suppose -2*x = 2*q - 2, -3*q + 6*q - 5*x = -21. Calculate the remainder when (-3)/q*50/3 is divided by (-124)/(-8) + (-3)/2.
11
Suppose 0*x + 4*x = -5*c - 23, -x = c + 5. Let s(u) = -u**2 - 9*u - 7. What is the remainder when 0 - (6 + x)/(-2) is divided by s(-8)?
0
Suppose 0 = j - 11 - 5. Calculate the remainder when 29 is divided by j.
13
Let d(w) = 4*w + 4. What is the remainder when 45 is divided by d(5)?
21
Let o(n) = -4*n + 71. Calculate the remainder when o(13) is divided by 4.
3
Suppose -i + 4*i - 9 = 0. What is the remainder when 5 is divided by i?
2
Let k(d) = d + 16. What is the remainder when 105*(0 - (-2)/5) is divided by k(-1)?
12
Suppose -p - 3*s = s - 1, -s = 2. Suppose p*r - 8*r - 27 = 0. Suppose 2*d - 8 = 5*c, -3*d + 27 + 11 = -c. Calculate the remainder when r is divided by d.
13
Let o = -5 + 8. Let k(t) = -5*t**2 + 0*t**3 - 2*t - t**3 + 6 + o*t**3. What is the remainder when k(4) is divided by 16?
14
Let r = 25 + -21. What is the remainder when 6 is divided by r?
2
Suppose w - 11 = 2*w + 5*m, 2*w - 5*m - 53 = 0. Let q = -13 - 1. Let o = -6 - q. Calculate the remainder when w is divided by o.
6
Suppose -h - 4*h - 2*x = -11, 5*x = -5*h + 20. What is the remainder when 1 is divided by h?
0
Let y(h) = -22*h - 1. Let w be 0 + -2 - -3 - -1. What is the remainder when y(-1) is divided by 1 - (0 + -8 - w)?
10
Let v(p) = -p - 5. Let a be (4 - (-2 + 1))*-1. Let g be v(a). Let f = g - -5. Calculate the remainder when f is divided by 2.
1
Suppose 5*r - m = 30, -4*r + 4*m + 38 = -2. Let n = 7 - 5. What is the remainder when r is divided by n?
1
Suppose t = -5*z + 14, 4*t - 6 = 3*z + t. Let w(s) = -5 + z - 6 + 3*s - 1. What is the remainder when 32 is divided by w(7)?
10
Let x be (-10)/(-40) + (-46)/(-8). Suppose 5*r - 6*r + x = 0. Calculate the remainder when 27 is divided by r.
3
Suppose -d + 25 = f, -12 = -2*d + 3*f + 13. Calculate the remainder when 59 is divided by d.
19
Let i(b) = -12*b**2 + 4*b**2 - 2 - b**3 + 0*b - 9*b. Suppose -2*a + 13 + 1 = 0. What is the remainder when i(-7) is divided by a?
5
Suppose -9*y = -0*y - 1602. What is the remainder when y is divided by 20?
18
Suppose 3*j = 3*u, -u - 3*j + 20 = j. Suppose 0*i - u*i + 172 = 0. Calculate the remainder when i is divided by 23.
20
Calculate the remainder when 123 is divided by 2/6 + 222/9.
23
Let l(c) = -2*c**3 - 3*c**2 - 1. Calculate the remainder when l(-3) is divided by 7.
5
Let x be ((-22)/6 + 3)*-51. Suppose 11 = 5*u - x. What is the remainder when 26 is divided by u?
8
Suppose 0 = -11*p + 169 + 7. Calculate the remainder when 79 is divided by p.
15
Suppose 4*k - 6*k = -40. What is the remainder when 95 is divided by k?
15
Let z(n) = -2*n. Suppose -9 = 5*s + 6. What is the remainder when 22 is divided by z(s)?
4
Let n(y) = 22*y. Let w = 31 + -19. Calculate the remainder when n(1) is divided by w.
10
What is the remainder when 39 is divided by ((-20)/5 + -16)*-1?
19
Suppose -10 = 2*m - 28. Suppose -3*a + 14 = -1. Suppose -a*i + 48 = -32. Calculate the remainder when i is divided by m.
7
Calculate the remainder when 1*-2*(-16)/4 is divided by 3.
2
Suppose 6*z + 9 = 3*z. Let c = 9 + z. Suppose -4*i + 2*m + 60 = 0, -m + 72 + 17 = 5*i. What is the remainder when i is divided by c?
5
What is the remainder when (-3)/(-1*(-1 + 2)) is divided by (2 - 6)*1/(-2)?
1
Let a = 39 + -12. Let m be 6/(-9) - (-7)/(-21). What is the remainder when a is divided by 4/(-7 + m)*-28?
13
Let t(q) = -q**2 - 10*q - 8. Let k be t(-7). Suppose -5*r = k - 48. Calculate the remainder when 20 is divided by r.
6
Let c = -88 - -91. What is the remainder when 5 is divided by c?
2
Suppose 2*n = n + 22. Let r = -14 + n. Calculate the remainder when 22 is divided by r.
6
Let y = 43 - 70. Let u = y + 41. Calculate the remainder when 53 is divided by u.
11
Suppose -3*m + 31 + 92 = 0. Calculate the remainder when m is divided by 11.
8
Suppose 10 = -5*f - 10, 5*c = 4*f + 41. Suppose 0*t + c*t = 45. What is the remainder when 25 is divided by t?
7
Suppose 2*k - 26 = w, w - 40 = k - 5*k. Let s(g) = -193*g**3 - g. Let p be s(1). Calculate the remainder when 1/(-3) + p/(-6) is divided by k.
10
Let l = -64 - -44. Let s = l + 32. Let d = 13 + -6. What is the remainder when s is divided by d?
5
Let c = 19 - 18. Let t(p) = -3*p - 2. What is the remainder when t(-2) is divided by c?
0
Let u(t) = 2*t + 26. Calculate the remainder when u(-7) is divided by 8.
4
Let u = 14 - 5. Suppose u*d - 16 = 5*d. What is the remainder when 15 is divided by d?
3
Suppose 0 = q + 3 - 10. Calculate the remainder when 22 - 4/2 - 1 is divided by q.
5
Suppose 0 = -4*u + 19 - 67. Let d = -6 - u. Calculate the remainder when 22 is divided by d.
4
Suppose -55 = -5*i - 5*x, 0 = -i - x - x + 6. What is the remainder when 29 is divided by i?
13
Let z = -78 + 165. Let s = z + -50. Calculate the remainder when s is divided by 13.
11
Suppose 0 = 6*n - 11*n + 20. Calculate the remainder when 17 is divided by n.
1
Let c(l) = -l**3 - 22*l**2 + 22*l - 18. Calculate the remainder when 8 is divided by c(-23).
3
Let y(f) = -f + 14. Let b be y(0). Let w be (-4)/14 - (-396)/b. What is the remainder when (-8)/w - 116/(-14) is divided by 5?
3
Let x = -84 - -251. What is the remainder when x is divided by 28?
27
Let n(g) = g**2 - 2*g - 10. Suppose 6 = -4*k + 18. Calculate the remainder when n(5) is divided by k.
2
Let m(z) = z**3 + 5*z**2 - 7*z. Let o be m(-5). Suppose -o = 5*f - 105. Calculate the remainder when f is divided by 5.
4
Suppose 0*a - 11 = -4*a - 3*k, 2*a + 5*k + 5 = 0. Calculate the remainder when 24 is divided by a.
4
Suppose 0 = r - 3 - 7. Suppose -2*g + d = -9, 3*g - d + 6 - 19 = 0. Calculate the remainder when r is divided by g.
2
Let c(k) = -k**2 - 6*k - 3. Let r be c(-5). Let h be -1 + -26 + 1 + -4. What is the remainder when h/(-9)*3/r is divided by 2?
1
Calculate the remainder when (22/55)/(1/65) is divided by 3.
2
Suppose 0*m = 3*m + 2*u - 17, 2*u = -5*m + 31. Let x be (59*-1 - 2)/(-1). What is the remainder when x/3 + 3/(-9) is divided by m?
6
Let w(k) = k**2 - 2*k + 2. Let h be w(2). What is the remainder when (h + -29)*2/(-3) is divided by 10?
8
Let o(i) = 3*i**2 - 2. Let u be o(-2). Let c = u + -7. Let a = c - -7. Calculate the remainder when 18 is divided by a.
8
Calculate the remainder when (-4)/(-14) - 6080/(-35) is divided by 22.
20
Let h = -15 - -19. What is the remainder when h is divided by 3?
1
Suppose 3*k - 24 = -z, 5*z - 53 = -k - 3. Let p(r) = 3*r - 2. Let v(m) = 10*m - 7. Let i(w) = 8*p(w) - 3*v(w). What is the remainder when i(-5) is divided by z?
8
Let t(d) = -34*d + 6. Let n be t(-6). Suppose -3*q = -5*q + n. Calculate the remainder when q is divided by 27.
24
Calculate the remainder when (1 - -2) + (18 - -2) is divided by 8.
7
Let n be -3*74/(-6) - 3. Suppose -2*i + 4*i = n. Calculate the remainder when i is divided by 5.
2
Suppose 2*f = 10 - 80. Let q be (1 + -2)/(-1)*-4. What is the remainder w