
10
Suppose 0 = -0*w + 5*w - 65. Calculate the remainder when 220 is divided by w.
12
Let b(l) = -l**2 - 6*l - 5. Let q be b(-4). Suppose -q*g = -3*p + 69, 8 = 4*p + 5*g - 57. What is the remainder when 38 is divided by p?
18
Let f(w) = w**3 + 13*w**2 - 21*w - 35. Calculate the remainder when f(-14) is divided by 6.
3
Suppose -5*b + 10 + 0 = v, -2*v + 5 = 5*b. Let u(s) = s**2 - 4*s - 2 + b*s + 5*s. Calculate the remainder when 5 is divided by u(-5).
2
Let x(b) = 9*b**2 + 2*b + 1. Let w be x(-1). Calculate the remainder when 23 is divided by (-2 + 1)/((-1)/w).
7
Let v be (-4)/3*(-45)/(-6). Calculate the remainder when (3 + 4)*v/(-7) is divided by 3.
1
Let v(w) = -4*w - 1. Let j be v(-6). Suppose 2*y + 5*o = 103, -2*y + 156 - j = -5*o. Suppose l - y = -4. What is the remainder when l is divided by 19?
17
Let o be 2/12 - 50/12. Let k = 10 + o. Calculate the remainder when k is divided by 4.
2
Suppose -a + 5*a + 8 = 0. Let r(o) = o**2 - o + 3. Calculate the remainder when 17 is divided by r(a).
8
Let f be 8/(-20) - (-2)/5. Let q be (0 + -30)/(-3) - f. Let m = q - -5. Calculate the remainder when 43 is divided by m.
13
Suppose -2*u - 2*v = -u - 9, -9 = 2*u - 5*v. Suppose -3*g + 16 = 1. Calculate the remainder when g is divided by u.
2
Suppose 5*c = -0*v - 2*v + 161, -3*c + 105 = 4*v. Calculate the remainder when c is divided by 8.
7
Calculate the remainder when 27 is divided by ((-10)/(-8))/((-2)/(-16)).
7
What is the remainder when 82 is divided by -35*(96/(-390) - 2/13)?
12
Let a be (-99)/(-2) + (-3)/(-6). Calculate the remainder when a/8*(0 + 8) is divided by 13.
11
Let x = 36 + -17. Let p(v) = v - 11. Let l be p(11). Calculate the remainder when 5/((-15)/(-108)) + l is divided by x.
17
Let d(z) = z**3 + 9*z**2 + 6*z - 4. Calculate the remainder when 23 is divided by d(-8).
11
Let v(r) be the first derivative of 18*r**2 - r + 4. Suppose -k + 4*n - 8 = 0, -5*n + 11 = 3*k - 50. Calculate the remainder when v(1) is divided by k.
11
Suppose 0 = -m - 3 + 8. What is the remainder when 9 is divided by m?
4
Suppose 0 = -5*m - m + 150. Calculate the remainder when 49 is divided by m.
24
Suppose 3*i = 287 + 28. Calculate the remainder when i is divided by 27.
24
Let i(w) = -36*w. Suppose 0 = 5*b + 3*c - 74, -12 = -5*b - 5*c + 68. What is the remainder when i(-1) is divided by b?
10
Suppose -2*v - i = -102, 0 = -3*v + 8*v - 4*i - 255. What is the remainder when v is divided by 17?
0
Suppose 0 = 4*p + 1 - 61. Let g be (-10 - 0)*p/10. Calculate the remainder when (-14)/2*g/3 is divided by 12.
11
Let t = -9 - -23. What is the remainder when 41 is divided by t?
13
Suppose -16 = -2*q - 2*q. Suppose -53 + 5 = -q*u. Calculate the remainder when (9 + -6)/((-3)/(-21)) is divided by u.
9
Suppose -w - 1 = s, -3*w - 3*s - 11 = 2*s. Calculate the remainder when 5 is divided by w.
2
What is the remainder when 42/1 + -3 + 0 is divided by 10?
9
Suppose 5*s + 2*c + 130 = s, 3*s + 97 = -c. Let o = 12 + -59. Let x = s - o. What is the remainder when x is divided by 8?
7
Let r = -8 - -42. Let i = -10 + 13. Suppose -i*s - 2*z - 15 + 55 = 0, 2 = s - 5*z. Calculate the remainder when r is divided by s.
10
Suppose -3*c = -2*q + c - 2, 0 = -2*q - 4*c + 22. Suppose 0 = 5*i, -2*i = q*o + 3*i - 220. Calculate the remainder when o is divided by 23.
21
Let h be 42/8 - 2/8. Suppose 4 = 2*q + 2*q + 2*o, -h*o = 2*q + 6. Calculate the remainder when 5 is divided by q.
1
Let f = -20 - -26. Calculate the remainder when f is divided by 5.
1
Let n(a) = 2*a + 5. Suppose 25 = s + 4*i, s - 2*i - 1 + 0 = 0. Calculate the remainder when n(6) is divided by s.
8
Let v(f) = -3*f - 11. Let x = 6 - 0. What is the remainder when v(-9) is divided by x?
4
Let t be (-6)/7*(-28)/4. Suppose -2*l + 2*i = -2, 0 = i + 2*i. What is the remainder when l is divided by 8/t + 4/(-12)?
0
Suppose 30 = -4*g + 6*g. What is the remainder when (-1794)/(-42) + (-4)/(-14) is divided by g?
13
Suppose -3*v - 37 = -2*b, 85 = 5*b - 3*v - 2*v. Suppose 2*c - 3*w = 2*w + 27, 3*c + 4*w - 6 = 0. What is the remainder when b is divided by c?
2
Calculate the remainder when 22/(-77) + (-424)/(-14) is divided by 8.
6
Let m(q) be the first derivative of 3*q**2 - 3*q + 3. Let v be m(3). What is the remainder when (-344)/(-10) - 6/v is divided by 12?
10
Let f be 4 + -4 + 3 + 1. Let d be (-8)/(-6)*66/4. Suppose 5*r + f*z = 49, 0 = -2*r + z - 5*z + d. Calculate the remainder when 25 is divided by r.
7
Let a = 16 + -6. Calculate the remainder when a is divided by 6.
4
Suppose 3*x + 2 = 4*x. Suppose 7*z = 5*z. Calculate the remainder when x is divided by 2 + (1 + z)/(-1).
0
Let f = -4 - -15. Suppose 8 + 11 = 5*x + y, 0 = -3*x - y + 11. Calculate the remainder when f is divided by x.
3
Let p(z) = 4*z - 2*z + z**2 - 8 + 0*z. Let b be p(-6). Suppose -l + 3*a = -b, 4*l - 3*a + 0*a = 46. What is the remainder when l is divided by 4?
2
Let f(q) = q. Let h(k) = -2*k - 10. Let z be h(-7). Let i be f(z). What is the remainder when 11 is divided by (-2)/i - (-13)/2?
5
Let m(y) = -y + 0*y - y - 6. Calculate the remainder when (-284)/(-10) - (-4)/(-10) is divided by m(-8).
8
Let w(x) = -x**2 - 14*x + 21. What is the remainder when 21 is divided by w(-15)?
3
Let n = -7 + 7. Suppose 0*g - 4*g + 48 = n. Calculate the remainder when 35 is divided by g.
11
Suppose 239 - 47 = 6*n. What is the remainder when n is divided by 7?
4
Let p = -4 - -9. Let r = p - 50. What is the remainder when 7 is divided by ((-2)/(-3))/((-6)/r)?
2
Suppose -v + w = -2*w - 1, -2*w = -2*v + 14. Suppose -j + 30 = s, 3*s - 7*s + 121 = 5*j. Calculate the remainder when s is divided by v.
9
Suppose -t = -3*a - 4*t + 42, 0 = t + 3. Let o be a - 4 - (2 - -1). Suppose -4*r = 5*x - 118, -7*r + o = -2*r. Calculate the remainder when 42 is divided by x.
20
Let u = 3 - -31. What is the remainder when 201 is divided by u?
31
What is the remainder when 1596/15 + ((-17)/5 - -3) is divided by 27?
25
Let o(c) = -7 + 0 + 8*c + 3. Let u be o(5). Calculate the remainder when 56 is divided by 1 - 7/((-14)/u).
18
Let k = -1 + -8. Let p = -5 - k. Calculate the remainder when 6 is divided by p.
2
Suppose -2*k + 173 + 8 = 3*y, 5*y = -k + 311. What is the remainder when y is divided by 16?
15
Let m(s) = -s**3 - 12*s**2 + 11*s + 16. Calculate the remainder when 166 is divided by m(-13).
40
Let i(q) = 2*q**2 + 2*q + 2. Let f be i(5). Let a = f + -24. What is the remainder when a is divided by 8?
6
Let m = 74 - -31. What is the remainder when m is divided by 22?
17
Let z = 13 - 2. Let q = 64 + -44. What is the remainder when q is divided by z?
9
Suppose -x + 100 = -5*o + 4*x, x + 14 = -o. Let i be o/((-1)/(-1 - -2)). Suppose -u + 5*h = -i, -2*u + u - h = -5. What is the remainder when u is divided by 3?
1
Let d(v) = 8*v. Let p be d(3). Let u = p + -1. What is the remainder when 66 is divided by u?
20
Let t(b) = b**2 + b - 1. Suppose -5*p + 2*x + 38 = 0, -2*p + 0*x + 12 = -4*x. Calculate the remainder when p is divided by t(-3).
3
Let y = -64 - -77. What is the remainder when 77 is divided by y?
12
Suppose 3*b - 5*j = 1 + 8, 5*b = -5*j + 15. Suppose 0 = -l + 4*l - 39. What is the remainder when l is divided by b?
1
Let j(b) = 4*b**2 - 24*b. What is the remainder when 82 is divided by j(7)?
26
Let x(m) be the first derivative of 2*m**3/3 - 13*m**2/2 - 3*m - 4. What is the remainder when x(9) is divided by 11?
9
Let f = -6 - -11. Suppose 7 = -f*m + 92. Let r = 27 - m. Calculate the remainder when r is divided by 6.
4
Let s(v) be the second derivative of v**4/3 - 2*v**3/3 + 2*v**2 + 2*v. Let r = -7 + 22. What is the remainder when s(3) is divided by r?
13
Let g(p) = p**3 + 10*p**2 + 3. Let s be g(-10). Suppose -4*y = -7*y + 9. Suppose s = y*f - 0. Calculate the remainder when f is divided by 1.
0
Suppose -9*m = -75 - 24. What is the remainder when m is divided by 3?
2
Let p(j) = -2*j**3 - 6*j**2 - 3*j - 2. Let v = -8 - -4. Calculate the remainder when p(v) is divided by 11.
9
Suppose -p + 6 = 1. Let o be (-230)/(-4) + (-1)/(-2). Suppose p*j - 173 + o = 0. Calculate the remainder when j is divided by 8.
7
Let x = 73 + -44. Suppose -5*k - f + 5*f = -70, 0 = -3*k + 4*f + 34. Let q = 28 - k. What is the remainder when x is divided by q?
9
Let a = 170 + -78. Let l = -58 + a. What is the remainder when l is divided by 