a. Let w(x) = x - 3. Let i be w(5). Let b be s(i). Calculate the remainder when ((-2)/(-4))/((-1)/b) is divided by 5.
3
Suppose 4*b - 3*r - 86 = 2*r, -5*b - 5*r = -85. Calculate the remainder when b is divided by 16.
3
Suppose -4*s = -3*k + 197, -6*k + 5*k = -5*s - 62. Suppose -4*y = -r - 2*r + 29, -2*y = -5*r + k. What is the remainder when 44 is divided by r?
14
Let o(b) = 5*b**3 + b**2 - b + 1. Let a be o(1). Let v(w) = 2*w. What is the remainder when 22 is divided by v(a)?
10
Suppose 2*d - 3*d = -12. Let j = 9 + -6. Suppose -j*h + 35 = 2*h. What is the remainder when d is divided by h?
5
Let w = 23 - -8. Calculate the remainder when w is divided by 7.
3
Suppose 2*c = -10, -7*l + 180 = -2*l - 4*c. Let k = -30 + 48. What is the remainder when l is divided by k?
14
Let y be 22/(-18) + 4/18. Let u be ((-42)/2)/3*y. Calculate the remainder when 50 is divided by (-121)/(-7) + (-2)/u.
16
Let w(b) = -7*b - 6. Let m(n) = 8*n + 7. Let u(a) = -4*m(a) - 5*w(a). Let t = 2 - -1. What is the remainder when 31 is divided by u(t)?
9
Suppose l = 10 + 4. Suppose -12 + 3 = -3*f. Suppose 0 = -0*h - f*h + 15. Calculate the remainder when l is divided by h.
4
Suppose 3*z = 5*h - 0*z - 70, 4*h + 2*z = 56. Let f(u) = u**2 - 3*u + 8. What is the remainder when f(6) is divided by h?
12
Let y = 34 - 22. Suppose 66 = 5*b - 2*b. Calculate the remainder when b is divided by y.
10
Let t(f) = 8*f - 3. Suppose 5*m = 6 + 4. Suppose -m*r - 15 = -5*r. What is the remainder when t(r) is divided by 13?
11
Let u = -17 - -22. What is the remainder when 7 is divided by u?
2
Let c = -2 + 3. Suppose -c = n + 4*v + 2, 4*v = -4*n. Let y(o) = -o**3 + 13*o**2 + 12*o + 30. What is the remainder when y(14) is divided by n?
0
Let t = 115 - -15. What is the remainder when t is divided by 33?
31
Suppose 70 = 5*l - 15. Calculate the remainder when l is divided by 7.
3
Suppose 2*r - 70 = -5*r. What is the remainder when 17 is divided by r?
7
What is the remainder when 2 + (-3)/(-6)*106 is divided by (-1)/(-1*(-3)/(-42))?
13
Let m(i) be the third derivative of 7*i**4/12 - i**3/6 + 2*i**2. Let l be ((-3)/(-2))/((-6)/(-16)). Calculate the remainder when m(l) is divided by 19.
17
Let a = -5 + 46. What is the remainder when a is divided by 24/6*14/4?
13
Suppose 8*f - 4*f - 12 = 0. What is the remainder when f is divided by 1?
0
Let s = -29 + 43. Suppose 0 = -3*g + 9 + 9. Calculate the remainder when g is divided by (-20)/(-35)*s/4.
0
Let r = -7 - -32. What is the remainder when r is divided by 9?
7
Let m be 2/(-2) + -1 + -12. Let t = m + 20. Suppose -4*f + 28 = 3*f. What is the remainder when t is divided by f?
2
Let d(v) = -v**2 - 24*v + 8. Let w be d(-14). Suppose 3*x + w = 7*x. Calculate the remainder when x is divided by -1*2*(-13)/2.
11
Suppose 4*u - 4 - 156 = 0. Calculate the remainder when 116 is divided by u.
36
Let z = -93 + 108. Calculate the remainder when z is divided by (-16)/(-2 - 0)*1.
7
Let m = 28 + -14. Suppose -70 = 3*r - 4*r. What is the remainder when m is divided by (-18)/24 + r/8?
6
Let m(j) = -j**2 + 3*j + 4. Let y be m(5). Calculate the remainder when (-2)/y + 16/24 is divided by 1.
0
Let t = 1 + 1. Suppose -3*a + 2*a - 20 = t*n, -5*a - 40 = -5*n. What is the remainder when (4/a)/((-2)/90) is divided by 8?
7
Let b be ((-10)/3)/((-2)/66). Suppose -g = 4*g - b. What is the remainder when g is divided by 240/8*4/10?
10
Let n = 344 + -312. Let x = 10 + 1. Calculate the remainder when n is divided by x.
10
Let w = 27 + -13. What is the remainder when 41 is divided by w?
13
Let v be (3/(-6))/((-2)/20). Suppose 0 = 5*u + v - 0. What is the remainder when u/(-5) - (-78)/10 is divided by 3?
2
Let x(p) = 7*p**2 - 4*p + 9. What is the remainder when x(2) is divided by 5?
4
Suppose -5*z - m + 110 = 0, 0 = -z + m - 0*m + 28. Suppose 0 = 3*g - 31 - 8. Calculate the remainder when z is divided by g.
10
Let g = 9 - 3. Suppose -5*h + 12 = -h. Suppose h*k - 2*k - 16 = 0. Calculate the remainder when k is divided by g.
4
Suppose -5*h + 5*s + 95 = 0, 2*h + s - 44 = -3*s. What is the remainder when 55 is divided by h?
15
Suppose -12*y + 9*y + 147 = 0. Calculate the remainder when y is divided by 10.
9
Calculate the remainder when 61 is divided by ((-48)/(-9))/((-7)/(-42)).
29
Suppose 0*x + 5*x - 115 = 0. What is the remainder when 89 is divided by x?
20
Let t be (1/(-1))/(-1) + 5. Suppose -2*s = 2*x - s - 21, 2*x - 15 = 5*s. Calculate the remainder when x is divided by t + (1 + 3)/(-2).
2
Calculate the remainder when 11 is divided by (2/(-1))/(2/(-7)).
4
Let z(s) = -s**3 - 3*s**2 + 9*s + 4. What is the remainder when z(-6) is divided by 20?
18
Suppose 13 = -4*v + 3*r, -4*v - 3*r + 3 = -2. Calculate the remainder when 8 - 9 - 42/v is divided by 22.
19
Suppose -5*n + 80 = -n. Suppose 0 = m - n - 11. What is the remainder when m is divided by 16?
15
Suppose -131*p = -126*p - 115. Calculate the remainder when 108 is divided by p.
16
Let a = 61 - 40. What is the remainder when 60 is divided by a?
18
Let s = 26 + -43. Let y = 12 + s. Let u = y - -16. Calculate the remainder when 32 is divided by u.
10
Let o(y) be the second derivative of y**5/10 - y**4/4 - y**3/3 + 2*y**2 + 2*y. Let x = 10 + -1. What is the remainder when o(3) is divided by x?
7
Let b = 2388 + -1410. Calculate the remainder when (-2)/(-5) - b/(-30) is divided by 9.
6
Let v = 41 - 19. Calculate the remainder when v is divided by 7.
1
Let v = 2 - -4. Let d(y) = -y**3 + 8*y**2 - 6*y - 7. Suppose -3 + 19 = 2*w. What is the remainder when d(v) is divided by w?
5
Let z be 3*(-4)/(-12) - -12. Let m = -1 + z. What is the remainder when 34 is divided by m?
10
Suppose v + 3*j = -3*v + 134, 4*v - 3*j - 122 = 0. Let c = -16 + v. Let p(d) = d**2 + 2*d - 1. Calculate the remainder when p(6) is divided by c.
15
Let i(r) = -12*r - 5. What is the remainder when i(-2) is divided by 12?
7
Suppose 0 = 5*v - 4*a - 76 - 36, 8 = 4*a. Calculate the remainder when 47 is divided by v.
23
Suppose h + h - 68 = 0. Suppose 166 = 4*f + h. Let c(m) = 3*m - 13. What is the remainder when f is divided by c(10)?
16
Let d be -1*(-1 + 0)*-3. Calculate the remainder when 19 is divided by -22*((-21)/6 - d).
8
Let m = 38 + -17. Let u = -11 + 15. Let h = u + m. What is the remainder when h is divided by 7?
4
Suppose 0 = 3*o - 8*o. Suppose 5*k = -2*w + 12 + 10, -4*k = o. Calculate the remainder when ((-19)/3 + 1)*-6 is divided by w.
10
Suppose 4*f - 20 = -4*t, -4*t + 20 = 2*f + 2. Suppose m = -t*m. Suppose -x + g + 23 = m, -x - 5*g + 30 = 7. What is the remainder when 68 is divided by x?
22
Let x(z) = 2*z**2 + 5*z + 18. Let u(v) = -v**2 - 3*v - 9. Let j(a) = -9*u(a) - 4*x(a). Calculate the remainder when j(-8) is divided by 2/5 - 129/(-15).
8
Let c(n) = n**3 - 9*n**2 - 9*n - 8. Let u be c(10). Suppose 34 = -2*r + u*g + 108, -3*r = -5*g - 101. What is the remainder when r is divided by 11?
9
Let x(m) = m**3 - 2*m**2 - 3*m + 3. Let y = -9 - -12. Let f be x(y). Suppose -15 = -3*i, -34 = -f*a + 3*i + i. What is the remainder when 53 is divided by a?
17
Let n(i) = -i**2 + 12*i + 12. What is the remainder when n(9) is divided by 21?
18
Let o(z) = -1. Let u(d) = -5*d + 2. Let g(c) = 6*o(c) - u(c). What is the remainder when g(6) is divided by 12?
10
What is the remainder when 1/(-6) + 875/30 is divided by 8?
5
Suppose -604 + 44 = -35*j. What is the remainder when ((-78)/(-7))/((-2)/(-14)) is divided by j?
14
Suppose 4*j - 9 = 23. Let k(o) = -13*o - 6. Let r be k(-7). Suppose 3*f - 18 + 3 = 0, -5*f - r = -5*z. Calculate the remainder when z is divided by j.
6
Let b(j) = -j**3 - 6*j**2 - 6*j - 7. Calculate the remainder when 84 is divided by b(-6).
26
Let w = 29 + -20. Calculate the remainder when 34/((2 + -3)*-2) is divided by w.
8
Let a(q) = 2*q**3 + q**2 - q + 1. Suppose 2*p + 3*l = -33, 8 = 5*l + 33. Let x be (-2)/p - (-32)/18. Calculate the remainder when a(x) is divided by 7.
5
What is the remainder when ((-54)/4)/((-18)/120) is divided by (-92)/(-10)*(-10)/(-4)?
21
Let b = 19 + -13. Suppose b*t - 2*t = 16. What is the remainder when 10/(-25) + 114/10 is divided by t?
3
Let f(r) = -r**3 - 16*r**2 + 37*r + 22. Suppose -5*k + k = -260. Suppose -5*m = 5*b - k, 4*m - 2*b = -b + 62. What is the remainder when m is divided by f(-18)?
3
Suppose -4*l + 204 = 4*n, n + 3*l - 6 - 37 =