*q - 4. Let c(z) be the third derivative of z**6/120 - z**5/12 + z**4/24 + z**3 + 2*z**2. Calculate the remainder when t(6) is divided by c(5).
10
Suppose -2*f = 0, -2*m + f + 12 = 6*f. Calculate the remainder when 13 is divided by m.
1
Let n = -9 - -18. Let f(q) = 3*q - 7. Calculate the remainder when f(n) is divided by 11.
9
Suppose 98 = 5*z - 0*l - 3*l, 3*z - 74 = -2*l. Let o(i) = 3*i + 8. Let q be o(-6). Let b = 22 + q. Calculate the remainder when z is divided by b.
10
Suppose -9 = 3*y + m + 2*m, -2*y + 3*m + 9 = 0. Suppose -p = -3*k + 26, 5*p - p + 55 = 5*k. Let t = y + k. What is the remainder when t is divided by 4?
3
Suppose -8 = -6*n + 2*n. What is the remainder when (6/(-8))/((-4)/32) is divided by n?
0
Suppose 0 = 3*l + 6 + 6. Let r be 10/(-6)*(1 + l). Suppose -r*b = 4*d - 39, 0*d + 2*d - 47 = -5*b. Calculate the remainder when b is divided by 6.
5
Let n(d) = -2*d**3 + 2*d**2 + 3*d + 1. Let h be n(4). Let t = 168 + h. What is the remainder when t is divided by 22?
19
Let z(q) = -q**3 + 6*q**2 + 8*q + 5. Calculate the remainder when z(6) is divided by (12 - 12) + (7 - 4 - -11).
11
Suppose 1 = u - 20. Let v(r) = r**2 - 4*r + 6. Let f be (3 + 7)*(-1)/(-2). What is the remainder when u is divided by v(f)?
10
What is the remainder when (1/3)/((-6)/(-108)) is divided by (-2)/(-13) + (-48)/(-26)?
0
Suppose -2*j + 5*l - 10 = -0*l, 8 = 2*l. Let h(z) be the third derivative of z**5/60 - z**4/8 + z**3/3 + z**2. What is the remainder when 22 is divided by h(j)?
10
Let y(l) = l**3 + 9*l**2 + 3*l - 3. What is the remainder when y(-8) is divided by 8?
5
What is the remainder when 1*(-59 + 1)/(-6 - -5) is divided by 10?
8
Suppose 4*l + 223 = -41. Let s = 127 + l. What is the remainder when s is divided by 16?
13
Let v(f) = 3*f + 32. Calculate the remainder when 173 is divided by v(4).
41
Let f(w) = -2*w**2 + 14*w - 5. What is the remainder when 56 is divided by f(5)?
11
Let l(m) = -2*m + 1. Let j be l(2). Calculate the remainder when 43 is divided by 4/6 + (-43)/j.
13
Suppose -o - 4*g = -7*g + 15, -3*o - 31 = -2*g. What is the remainder when 46 is divided by 660/54 + 2/o?
10
Let a(d) = -d**3 - 4*d**2 + 2*d - 7. Suppose 0 = -5*r - 4*c + c - 9, -4*r = -c - 3. Suppose -u - 2 + 7 = r. Calculate the remainder when a(-5) is divided by u.
3
Suppose -2*i + 7*i = 20, -5*i = -2*a + 10. What is the remainder when a is divided by 6?
3
Suppose -12 = 2*u - 44. Suppose 3*d = -6, 5*d + 29 = 5*t - u. Calculate the remainder when ((-84)/49)/(2/(-14)) is divided by t.
5
Suppose -2*s - 51 = -i, s - 2 + 1 = 0. What is the remainder when i is divided by 18?
17
Calculate the remainder when 25 is divided by (8/(-10))/((-8)/140 + 0).
11
Suppose 0*x + x - 2 = 0. Suppose -3*w + 35 = x*w. What is the remainder when 12 is divided by w?
5
Let n = 134 + -78. What is the remainder when n is divided by 29?
27
Suppose 0 = 2*x + y - 44, -3*x = -2*x + 5*y - 40. What is the remainder when 35 is divided by x?
15
Suppose 0*g - 4*g + 32 = 0. Calculate the remainder when 13 is divided by g.
5
Suppose -3*p - 20 = -c, 8 = -3*c + 7*c. Let m(o) = -1 - 20*o**2 + 4*o + 21*o**2 + 0. What is the remainder when m(p) is divided by 4?
3
Let p(r) = 3*r**2 + 4*r + 2. Let v(s) = -s**2 - s. Let g be v(-2). Calculate the remainder when ((-4)/8)/(2/(-44)) is divided by p(g).
5
Let f(u) = u**3 + 18*u**2 - 2*u + 17. Calculate the remainder when f(-18) is divided by 15 - (0 - 1)/(-1).
11
Suppose -z - 25 = 4*n, 0 = -5*z - 5*n - 56 - 9. Let a = -4 - z. Let p(m) = m**2 + 6*m - 3. Calculate the remainder when p(-8) is divided by a.
3
Let c(f) = -2*f + 0*f + 11 + 4*f. Let z be c(10). Suppose -l + p = -46, -2*p - z - 17 = -l. Calculate the remainder when l is divided by 15.
14
Suppose 14*o = 8*o + 228. Calculate the remainder when o is divided by 13.
12
Suppose -4*h + t + 29 = 0, -t + 2*t + 22 = 3*h. What is the remainder when h is divided by 4?
3
Suppose 3*j - 267 = 3*u, 362 = 2*j + 2*j - 2*u. Calculate the remainder when j is divided by 19.
16
Let y = 141 - 101. Calculate the remainder when y is divided by 16.
8
Let z(u) = u. Let p be z(0). Suppose 0 = -5*s + m + 2*m + 172, -5*s - 5*m + 140 = p. What is the remainder when s is divided by (19 - 2)/(1 - 0)?
15
Suppose 3*p + 98 + 88 = 3*k, -k - 54 = p. What is the remainder when 30 is divided by 8/(-28) - p/7?
6
Let n = 20 - 0. Let b = n + -8. Let u = -26 + 59. Calculate the remainder when u is divided by b.
9
Let x = 15 + -36. Let u be 6/(-21) + (-6)/x. Suppose u = a - 2 - 11. Calculate the remainder when a is divided by 8.
5
Let m(h) = -h**2 + 27*h - 22. Calculate the remainder when m(25) is divided by 12.
4
Let l(r) = r + 10. Calculate the remainder when 5 is divided by l(-6).
1
Let n(p) be the third derivative of p**5/60 - p**4/8 + 2*p**3 + 7*p**2. What is the remainder when 30 is divided by n(4)?
14
Suppose -3*s + 5*u + 7 = -13, 38 = 3*s + 4*u. What is the remainder when s is divided by 6?
4
Let q(m) = -3 - 2*m + 3*m + 2 + 4. Let j be q(-5). Calculate the remainder when (-1 - j) + 2 - -7 is divided by 4.
2
Suppose 0 = -0*l - 5*l + 40. Calculate the remainder when l is divided by 5.
3
Suppose 5*k - 51 - 7 = -3*g, 0 = 5*g + 5*k - 90. What is the remainder when 61 is divided by g?
13
Let q(y) = -16*y**2 + y - 4 + 2 - 3. Let a(h) = 16*h**2 - h + 6. Let g(p) = -6*a(p) - 7*q(p). What is the remainder when 46 is divided by g(-1)?
14
Let p be (9/2)/3*2. Suppose 4*x + 0*m = -2*m + 124, 5*m = p*x - 119. Suppose f + 14 = -4*k + 36, 5*k = -4*f + x. What is the remainder when k is divided by 3?
2
Suppose -v = 2*x - 3, 2*v - 4*x = -0*x + 14. Suppose -2*g + 3*i = 3*g - 216, -5*i = -v*g + 210. Calculate the remainder when g is divided by 16.
13
Suppose 3*z + 3*u - 2 - 19 = 0, 3*z + 5*u - 29 = 0. Calculate the remainder when z is divided by 2.
1
Let o(q) = q**3 - 4*q**2 - 7*q + 7. Suppose 2*y - 6 = 0, -a = -4*y + 3*y. Suppose -a*j + 10 = -2*j. Calculate the remainder when o(6) is divided by j.
7
Suppose f - 85 = -5*t, 2*t = -2*f + f + 31. What is the remainder when 106 is divided by t?
16
Suppose -4*u + 2*u = -14. Suppose b = 35 - u. Suppose -18 + 48 = 3*y. What is the remainder when b is divided by y?
8
Let l = -3 + 9. Let r(w) = w**3 - 7*w**2 + 7*w - 3. What is the remainder when r(l) is divided by 2?
1
Let l(c) = 6*c**3 - 3*c**2 - 4*c - 1. What is the remainder when l(3) is divided by 31?
29
Let d(k) = -k**2 + 14*k - 15. What is the remainder when 24 is divided by d(12)?
6
Suppose 0 = s - 20 + 3. Calculate the remainder when s is divided by 5.
2
Suppose 8 = 4*v, -2*n + 46 = -n + 3*v. Calculate the remainder when n is divided by 7.
5
Let z = 1 + 1. Suppose -4*p = -5*p - z, -3*p = i + 1. What is the remainder when 201/15 + 4/(-10) is divided by i?
3
Let z = 42 + -25. Calculate the remainder when z is divided by 10.
7
Let n(j) = j**3 + 8*j**2 + 7*j - 1. Let c be n(-7). Let k be 0 + 1/c - -44. Suppose -3 = -w, u + 5*w = -u + k. What is the remainder when 26 is divided by u?
12
Let r be (-40)/(-12)*(1 + 2). Let i(b) = b**2 - 8*b. What is the remainder when 58 is divided by i(r)?
18
Let g = 18 - 12. Let r(u) = -u**3 + 4*u**2 + 10*u - 7. Let b be r(g). Let y = -7 - b. Calculate the remainder when 35 is divided by y.
11
Let v(o) = o**2 + 9*o + 4. Let n be -2*(3/2 - -2). Let d be v(n). Calculate the remainder when 12 is divided by (-72)/(-10) + 2/d.
5
Let p = 199 + -134. Suppose -5*y - w + 89 = 0, 0*y - 4*y + 76 = 2*w. Calculate the remainder when p is divided by y.
14
Let n = 12 - 22. Let p be 16/n*285/(-6). Suppose -2*o = 4*k - 76, -4*k + o - 5*o + p = 0. What is the remainder when k is divided by 7?
5
Let m = -2 - -1. Let p be m/(9/(-3))*15. Let g = 32 + p. What is the remainder when g is divided by 19?
18
Suppose 4 + 0 = n. Calculate the remainder when (39/2)/(2/n) is divided by 10.
9
Let x be 2 + -5 - (-1 + -4). Suppose 2*w + 2*k = 58, k = 3*w - x*w - 23. Calculate the remainder when w is divided by 14.
12
Let w be (-1 - -1)/(-6 + 4). Suppose w = -z + 3*z - 6. Suppose z*r - 4*r = 5*j - 6, -93 = -5*r - 4*j. What is the remainder when r is divided by 11?
10
Let u(d) = -d**2 + 6*d. Let l(p) = -p**2 + 6*p - 1. Let t(a) = -4*l(a) + 5*u(a). What is the remainder when 38 is divided by t(3)?
12
Suppose 0 = 6*l - 2*l - 48. Let g = 4 + 1. Suppose -h + 35 = -g*t, -4*h - 4*t + 172 = 