te the remainder when n is divided by 6.
4
Let g(j) be the first derivative of -j**3/3 + 5*j**2/2 + 8*j - 3. Let d be g(6). Suppose 7*f = d*f + 55. Calculate the remainder when 42 is divided by f.
9
Let l = -22 - -32. Let p = -6 + 1. Let a(j) = j**2 + j - 1. Calculate the remainder when a(p) is divided by l.
9
Let t = 43 - 20. Let b = t + -6. Calculate the remainder when 50 is divided by b.
16
Suppose 3*c - 69 = 2*t, -2*t - 1 = -7. Calculate the remainder when 72 is divided by c.
22
Suppose -17 + 56 = v + 2*w, 5*w + 182 = 4*v. What is the remainder when v is divided by 11?
10
Suppose -54 = -5*q + 41. Let s(o) = o**2 - 6*o - 3. Calculate the remainder when s(-5) is divided by q.
14
Suppose 4*c = -0*c + f + 437, -2*c = -f - 221. Suppose -3*k = k - c. What is the remainder when k is divided by (-3)/(-2)*(-60)/(-9)?
7
Let j(u) = -u - 22. Let m be j(-10). Calculate the remainder when 61 is divided by 16/m*(-13 - -1).
13
Let v = -42 + 71. Suppose 0 = s - v - 2. Calculate the remainder when s is divided by 11.
9
Let c(g) = -49*g + 1. Let v be 1/(4/12*-3). Calculate the remainder when c(v) is divided by 17.
16
Let h(j) = 2*j + 1. Let k be h(1). Suppose 3*c + k*r - 57 = 0, -4*c - 2*r + 4*r + 88 = 0. Calculate the remainder when 183*-1*(-1)/3 is divided by c.
19
Suppose -5*v = -v. Suppose v = -x - 4, 4 = -4*k - x - 3*x. Suppose k*n - 132 = -6. Calculate the remainder when n is divided by 11.
9
Suppose 2*m = 3*f + 27, 3*m - 2*f - f = 39. Calculate the remainder when 15 is divided by m.
3
Let u be (0 + -1)/(1/3). Let l = -3 - u. Suppose 6*c - c - 78 = -4*z, 2*c - 5*z - 18 = l. What is the remainder when c is divided by 5?
4
Suppose d = a - 60, -a + 3*d + 40 = -10. Calculate the remainder when a is divided by 17.
14
Suppose -3*q - 1495 = -i - 157, -3*q + 2*i = 1335. Calculate the remainder when 4/(-16) - q/12 is divided by 19.
18
Let h(j) = -2*j - 8. What is the remainder when h(-9) is divided by 6?
4
Suppose 0 = 3*j - 6*j + 111. Calculate the remainder when 107 is divided by j.
33
Suppose 5*x - 2*t + 6 - 106 = 0, -t - 59 = -3*x. What is the remainder when 69 is divided by x?
15
Calculate the remainder when 28 is divided by ((-36)/(-30))/((-2)/(-25)).
13
Let d = -13 + 22. Suppose -y - 4 = -d. Suppose -w = -0*w - y. Calculate the remainder when w is divided by 2.
1
Suppose -5*a - 2 = -7. What is the remainder when a/(-1) + (0 - -6) is divided by 3?
2
Let g(w) = -22*w**3 - w**2. Let r be g(-1). Suppose s + r = 2*k, -3*k + 24 = -s + 1. Let u = 6 - s. Calculate the remainder when u is divided by 6.
5
Let n = -12 + 13. Let j = n + 9. Calculate the remainder when 34/4*(2 + 0) is divided by j.
7
Let s be (58/(-4))/(1/(-8)). Let c = 50 + s. Suppose -4*z + 56 = -5*b + c, 5*b + 2*z - 110 = 0. What is the remainder when b is divided by 12?
10
Calculate the remainder when (9/(-4))/((-15)/440) is divided by 23.
20
Let g(l) = -l**2 - 6*l - 2. Let c(u) = 16*u + 48. What is the remainder when c(-2) is divided by g(-4)?
4
Let o = -73 - -114. What is the remainder when o is divided by 11?
8
Suppose a + 4*a + 3*d - 284 = 0, 2*d = 5*a - 294. Let h = -95 - a. Calculate the remainder when (2/6)/((-3)/h) is divided by 6.
5
Let v be 2/6 - (-10)/6. What is the remainder when v/1 - 20/(-1) is divided by (-3)/((-6)/4 + 1)?
4
Suppose -10 = 2*m, -2*m + 5*m = 2*a + 27. Let b be 4/3 + (-14)/a. Suppose b*f = f, 5*f = -4*p + 28. What is the remainder when 12 is divided by p?
5
Let t = 0 - 2. Suppose i - 11 = 2*f, 0 = i + 3*i - 3*f - 64. Calculate the remainder when i is divided by (t/(-4))/(1/14).
5
Let d = 31 - 1. Suppose 5*x + 2*m = 53, -2*m - 3 = x - 12. What is the remainder when d is divided by x?
8
Let p = 91 - 65. What is the remainder when p is divided by 9?
8
Suppose -3*x = 3*o - 1701, -o + 3*x = -3*o + 1136. Calculate the remainder when o/15 + 4/(-6) is divided by 19.
18
Let j(z) = -z - 4. Let r = -12 - -6. Let q be j(r). Suppose -4 = q*p, -k + 44 = 3*k - 4*p. Calculate the remainder when 25 is divided by k.
7
Let k = -4 - -4. Suppose k = -0*q - 4*q + 32. What is the remainder when 30 is divided by q?
6
Suppose 4*i = -0*i + 144. Suppose -3*u + i = -2*u. Calculate the remainder when u is divided by 13.
10
Let y be -5*1/((-15)/9). Suppose -y*c = -6*c + 3. Calculate the remainder when (-1 - c)/(2/(-9)) is divided by 5.
4
Let w(n) be the second derivative of n**5/4 + n**4/12 - n**3/6 + n**2/2 - 3*n. Calculate the remainder when 10 is divided by w(1).
4
Let x = 51 + -77. Let q = -12 - x. Let z = -18 + 26. Calculate the remainder when q is divided by z.
6
Let y(w) be the second derivative of -w**3/3 - 2*w**2 + w. Calculate the remainder when 18 is divided by y(-7).
8
Let j = 97 - 41. Calculate the remainder when j is divided by 15.
11
Suppose 2*g + 4*p - 3*p + 11 = 0, -5*g - 4*p = 32. What is the remainder when (-233)/g + 6/8 is divided by 15?
14
Suppose 0 = 3*u + 4*f - 112 - 498, 0 = -5*u - 3*f + 1013. What is the remainder when u is divided by 17?
15
Let z = 15 + -6. Let b be 0/((-3)/z*-3). Suppose b = -2*l + 23 + 47. Calculate the remainder when l is divided by 12.
11
Let t = -10 - -14. Suppose 0 = -4*a + 9 + 7. Suppose 4*y + y - 5*o = 5, a*y - o = 7. What is the remainder when t is divided by y?
0
Let b be 170/6 - 1/3. Suppose -4*p = -80 + b. What is the remainder when p is divided by 7?
6
Let u(p) be the first derivative of p**4/4 + 8*p**3/3 + 7*p**2/2 - p - 3. Let v be u(-7). What is the remainder when -18*((-3)/2 - v) is divided by 4?
1
Let d(o) = o + 11. Calculate the remainder when d(5) is divided by 9.
7
Let m be (-2 - 0)/(-2) - -114. Let p = m - 54. Suppose 0 = 3*w - 59 - p. What is the remainder when w is divided by 14?
12
Let c(q) = 2*q - 10. Let b be (-6 - 0/(-4))/(-1). Calculate the remainder when 3 is divided by c(b).
1
Let u(z) be the third derivative of z**6/120 + z**5/10 + z**4/6 + 2*z**3/3 + 2*z**2. Calculate the remainder when u(-5) is divided by 5.
4
Let j = 9 + -7. Suppose 0 = 6*s - j*s - 64. Calculate the remainder when 61 is divided by s.
13
Suppose -2*w + 7 = -3. Suppose -x - 5*i + 7 = 0, -i - 8 = -x - w*i. Suppose 4*z - 2*z = 46. Calculate the remainder when z is divided by x.
11
Let h(b) = -11*b + 1. Calculate the remainder when h(-5) is divided by 29.
27
Suppose -2*b + 180 = 3*b. Let g = b - 19. Calculate the remainder when 50 is divided by g.
16
Calculate the remainder when 198 is divided by ((-6)/(-9))/((-5)/(-100))*3.
38
Suppose r - 3*i = 10, -5*r - 7*i = -3*i - 12. Calculate the remainder when 15 is divided by r.
3
Suppose -4*h - h = 3*v - 76, 60 = 5*h - 5*v. What is the remainder when 40 is divided by h?
12
Calculate the remainder when 136 is divided by 70/6*((-2)/2 + 4).
31
Let i = 12 + -10. Suppose 0 = i*r - 7*r + 65. What is the remainder when 38 is divided by r?
12
Let q = 24 - 18. Calculate the remainder when 34 is divided by 50/4 + (-3)/q.
10
Suppose 0 = 4*y - 11 - 1. Suppose y*n - 83 = 13. Let s = 75 - n. What is the remainder when s is divided by 22?
21
Suppose 6*q - q - 25 = 0. Suppose q*f = 2*l - 9 + 1, f + 4 = l. Calculate the remainder when 15 is divided by l.
3
Let i = 10 + 12. Calculate the remainder when (32/6)/(1/12) is divided by i.
20
Let y = -3 - -6. Suppose 0 = 4*h - 2 - 10. Suppose h*v + 4*w - 45 = -7, 36 = 3*v + y*w. Calculate the remainder when 28 is divided by v.
8
Let g(x) = x**3 - 6*x**2 + 3*x - 5. Suppose 5*m - 74 = 116. What is the remainder when m is divided by g(6)?
12
Let u be (-2)/9 + (-280)/(-45). What is the remainder when 60 is divided by (-24 + (u - 3))*-1?
18
Let q(k) = -k**3 + 9*k**2 + 13*k - 13. Suppose 4*o - 192 = 2*f + 2*f, 3*o + 5*f = 160. What is the remainder when o is divided by q(10)?
16
Let y = -1 + 1. Let z be ((-1)/(-1))/(1 - y). Calculate the remainder when 20 is divided by (-84)/(-8) + z/2.
9
Suppose -3*q - q - 3*t + 8 = 0, 3*t + 22 = 2*q. What is the remainder when q is divided by 7/(-14) - (-7)/2?
2
Let g(c) = -c**2 + 8*c + 8. Let w be g(7). Calculate the remainder when (20/w)/(4/18) is divided by 3.
0
Let h(x) = x**2 - x + 4. Let s be h(0). Let b(w) = 5*w + 2. Let a be b(s). Suppose -3*v + v + a = 0. What is the remainder when 31 is divided by v?
9
Let d be (-51)/(-9) - (-2)/6. Suppose 5*l = d*l - 5. Calculate the remainder when 8 is divided by l.
3
Let u = 56 + -37. Suppose -c = -4*q + u, 0*c