
Let x(v) = v**2 - 5*v + 4. Let c(d) = -d**2 + 8*d. Let u be c(7). Calculate the remainder when 35 is divided by x(u).
17
Let q = -8 - -11. Let r(x) = 7*x. What is the remainder when r(q) is divided by 12?
9
Let s = 2 + 15. Suppose 4 = n, d - 4*n - n + s = 0. What is the remainder when 5 is divided by d?
2
Suppose 37 = v - 3. What is the remainder when v is divided by 7?
5
Let c(k) = k**3 + 2*k**2 - 4*k + 3. Calculate the remainder when (4/(-2))/((-2)/3) is divided by c(1).
1
Calculate the remainder when 25 is divided by (-141)/(-15) - 6/15.
7
Suppose -15 = 3*n - 6*n. Suppose -4*w + 6 + 0 = -s, -n*w = 5*s - 45. What is the remainder when -22*(0 + 1/(-2)) is divided by s?
5
Suppose y - 5 = -1. What is the remainder when 11 is divided by y?
3
Suppose -2*g + 4 = -0*g. Let l(h) be the third derivative of h**4/6 - h**3/3 + 2*h**2. Calculate the remainder when 16 is divided by l(g).
4
Suppose 0 = -4*b + 12, -3*c - b = 2*b - 15. Let q(m) = 5*m + 2*m**c - 2*m + 3 + 0*m. What is the remainder when 9 is divided by q(-2)?
4
Suppose 5*y + 0*y = -85. Let q = -8 - y. What is the remainder when 35 is divided by q?
8
Let n = -6 - -13. What is the remainder when ((-6)/(-9))/((-4)/(-66)) is divided by n?
4
Suppose -2*g = -7*g + 80. Let c = -5 + 34. Calculate the remainder when c is divided by g.
13
Suppose 0 = r + 4*r. Suppose -1 = f + 2*f - 5*c, r = -c + 5. Calculate the remainder when 22 is divided by f.
6
Let d(q) = q**2 - 12*q + 13. Let k be d(12). Suppose 2*j = 3 + k. What is the remainder when 22 is divided by j?
6
Suppose 0 = 3*s + 5*p - 32, -5*s = -3*p + 5*p - 85. Let l = s + -36. Let q = -12 - l. What is the remainder when 9 is divided by q?
4
Suppose -2*p + 29 + 27 = 0. Calculate the remainder when 81 is divided by p.
25
Let c(w) = 31*w**2. Let n(p) = 3*p + 3. Let o be n(-2). Let a(r) = -r**3 - 3*r**2 - 4*r - 1. What is the remainder when c(-1) is divided by a(o)?
9
Let d = 17 - 10. Suppose -d*l = -4*l - 66. What is the remainder when l is divided by (2/(-3))/(2/(-24))?
6
Let o(b) = -b**3 + 14*b**2 + 32*b + 11. Suppose -2*m = -7 - 1. Suppose m*j - 6*j = v - 20, -4*j = -4*v + 80. Calculate the remainder when v is divided by o(16).
9
Let n = 12 - 23. What is the remainder when (1 + -2)*(2 + n) is divided by 5?
4
Suppose 0 = -0*u + 3*u - 24. Suppose 2*p - 48 = -3*v, -13 = -2*v - p + 18. Calculate the remainder when v is divided by u.
6
Let w(t) = t**3 - 8*t**2 + 11*t - 11. Calculate the remainder when 48 is divided by w(7).
14
Calculate the remainder when 5 is divided by 5 + (1 + 7)/(-4).
2
Suppose -31*l = -34*l + 93. Calculate the remainder when l is divided by 13.
5
Suppose 0 = 4*z - 5*z + u + 39, -5*u = -4*z + 160. Calculate the remainder when z is divided by 19.
16
Let l = 7 - 1. Suppose 0 = -0*n - n + l. What is the remainder when 2*1 - (-8)/1 is divided by n?
4
Let v = 140 + -73. What is the remainder when v is divided by 17?
16
Let l(m) = m**2 + 11*m - 8. Let f be l(-12). Suppose 3*o - 4 = -4*n, -f*n + o + 24 = -o. Calculate the remainder when 6 is divided by n.
2
Let f = 10 - -58. What is the remainder when f is divided by 18?
14
Let u(r) = 3*r - 4. Let n(y) = y + 1. Let g(w) = -4*n(w) + 2*u(w). What is the remainder when g(16) is divided by 7?
6
Suppose 0 = q - 2*f + 4*f - 73, -4*q = -3*f - 347. What is the remainder when q is divided by 22?
17
Let l(t) = 3*t**2. Let d be l(-1). Suppose 0 = -3*i - 4*g - 67, 4*i + 2*g + 59 = -27. Calculate the remainder when 4/d*i/(-2) is divided by 8.
6
Suppose -5*h + 3*h = -116. Suppose -5*l = 3*a - 62, 2*l + 3*l + 2*a = h. What is the remainder when 222/8 + (-2)/(-8) is divided by l?
8
Calculate the remainder when 21 is divided by (-32)/10*(-45)/18.
5
Let b(j) = j**3 + 2*j**2 + j + 4. Let t be b(-3). Let m = -35 + t. Let o = m + 80. Calculate the remainder when o is divided by 13.
11
Let j be 1 - 14*(-3)/(-6). Let w(i) = i**2 + 5*i - 2. Let p be w(j). Suppose p*z - 24 = 4. What is the remainder when z is divided by 2?
1
Let r(p) = 40*p - 3. Let h(l) = l**3 + 11*l**2 + 11*l + 12. Let s be h(-10). What is the remainder when r(s) is divided by 20?
17
Suppose -4*p + 4 = 0, 3*u = -2*u + 3*p + 102. Calculate the remainder when 146 is divided by u.
20
Suppose -x + 52 = 2*x - q, -4*q = -20. Let v = x - 11. Calculate the remainder when 23 is divided by v.
7
Suppose -96 = -2*s + 3*d + 10, 5*s = 5*d + 275. Calculate the remainder when s is divided by 10.
9
Let l(o) = 5 + 3*o + o + 1. What is the remainder when l(8) is divided by 1/1 - (-12)/1?
12
Suppose 4*u + 4*o + 0*o - 24 = 0, -5*u + 4*o + 12 = 0. Suppose 0 = u*a - 7*a + 12. Calculate the remainder when a is divided by ((-8)/16)/(2/(-12)).
1
Suppose -g + 4*w = -39, 2*w - 47 = -g - 2*g. What is the remainder when g is divided by 10?
9
Let l(y) be the first derivative of y**4/4 - y**3 - 3*y**2/2 + 4*y + 3. What is the remainder when l(4) is divided by ((-10)/4)/(2/(-4))?
3
Let w be (-2)/(-6)*105/7. Suppose -4*i - 8 = 3*a, w*a = -5*i - 3 - 2. What is the remainder when 26 is divided by 272/20 + (-2)/i?
12
Suppose 4*q + 59 = 5*q. Let s = q - 30. Calculate the remainder when 86 is divided by s.
28
Suppose -k - 4*i = 14, 0*i + 3*i + 15 = 0. Calculate the remainder when 17 is divided by k.
5
Let s = 131 - 109. What is the remainder when 43 is divided by s?
21
Suppose 3*c + 2*c + 3*b = 5, 25 = -5*b. Let i = 1 - 1. Suppose i = -2*a + 1 + 3. What is the remainder when c is divided by a?
0
Let r(b) = -56*b - 2. Let f be r(-2). Suppose -f = -0*j - 5*j. Calculate the remainder when j is divided by 6.
4
Let n = 9 + -1. Suppose 2*b = 3 + 3. Let m(p) = 2*p**2 - p. What is the remainder when m(b) is divided by n?
7
Let v = 16 + -19. Let w = v + 32. Calculate the remainder when w is divided by 16.
13
Let s(n) = n**2 - n - 2. Let t be s(-1). Suppose t = 7*b - 3*b - 100. Let q = 6 - -3. What is the remainder when b is divided by q?
7
Suppose 0*d - 3*r = 2*d - 238, -3*r + 122 = d. What is the remainder when d is divided by 13?
12
Suppose 5 = -2*l - 3, -2*o - 2*l = -14. Calculate the remainder when 130 is divided by o.
9
Let z = -82 - -127. Let w = -1 + z. Calculate the remainder when w is divided by 23.
21
Let i = -24 - -31. What is the remainder when 11 is divided by i?
4
Let t(i) = -i + 28. Calculate the remainder when 34 is divided by t(18).
4
Suppose -2*k - 56 = 2*k. Calculate the remainder when 20 is divided by k*3/(-6)*1.
6
Let o = 26 - -152. Suppose o = 2*t - 4*m, -4*t + 0*t = 4*m - 296. What is the remainder when t is divided by 27?
25
Let j = 14 - 1. What is the remainder when 22 is divided by j?
9
Let y(g) = g - 1. Let z be y(4). Suppose 3*t = 2*u, -3*t = -5*t + z*u. Suppose 0 = -t*f - 2*f + 2. What is the remainder when 2 is divided by f?
0
Suppose -r + 4*u = 11 - 0, 0 = r - 5*u + 15. Suppose 0 = -r*g - 5*a + 55, 0*a - 30 = -4*g + 3*a. What is the remainder when 16 is divided by g?
7
Let a = -6 - 0. Let p = a - -20. Suppose 160 = 4*z - 0*z. Calculate the remainder when z is divided by p.
12
Let a = -8 + 14. Suppose -16 = -3*p - 5*u, -p + 2*u - 7 = 6. What is the remainder when 9 is divided by a - (18/3 + p)?
0
Let u = 35 + -54. Suppose -2*y - 8 = 10. Let s = y - u. Calculate the remainder when 29 is divided by s.
9
Let l(h) be the second derivative of -5*h**4/12 - h**3/6 - h. Let d be l(-2). Let j = 28 + d. What is the remainder when 29 is divided by j?
9
Let a(h) = h + 13. What is the remainder when 22 is divided by a(-9)?
2
Let o(d) = -4*d. Calculate the remainder when 21 is divided by o(-2).
5
Let q = 42 - 27. Calculate the remainder when 28 is divided by q.
13
Let k(m) = m**3 - m**2 - 10*m + 1. Calculate the remainder when 24 is divided by k(4).
6
What is the remainder when (8/(-16))/((-1)/26) is divided by 5?
3
Let z = -80 + 91. Calculate the remainder when z is divided by 3.
2
Let g(w) = -13*w - 8. Calculate the remainder when g(-1) is divided by 3.
2
Let j = 5 - 2. Let g be j + (2 - 2)/2. Suppose 0 = s - g - 38. What is the remainder when s is divided by 11?
8
Let t(n) = -2*n**2 + 3*n - 6. Let k(u) = -6*u**2 + 10*u - 18. Let c(s) = -4*k(s) + 11*t(s). What is the remainder when c(4) is divided by 4?
2
Let g be (-23)/(-1) - (-6 - -5). Suppose -3*d + d = -g. Calculate the remainder when 34 is divided by d.
10
Let q = -37 + 48. What is the remainder when q is divided by