uppose m*c - c + 3*u = 151, 5*u - 15 = 0. What is the remainder when c is divided by 18?
17
Suppose 153 = -x + 2*z, 5*z + 652 = -4*x + 3*z. Calculate the remainder when (-138)/(-8) - (-1)/(-4) is divided by 2/8 - x/28.
5
Suppose 40 = z - 9. Calculate the remainder when z is divided by 13.
10
Let v = 32 + 27. Let r = v + -38. Calculate the remainder when 60 is divided by r.
18
Suppose -3*x - 4*g = -80, -3*x + 2*x + 2*g = -10. Let m = x - 14. What is the remainder when m is divided by 2?
0
Suppose -90 = -5*u + 5*v, -8*v + 3*v = -2*u + 45. Calculate the remainder when u is divided by 9.
6
Suppose -2*g = -0*g - 44. Calculate the remainder when 43 is divided by g.
21
Let i(g) = g**3 - 14*g**2 - 15*g + 6. What is the remainder when i(15) is divided by 1 + (2 - (2 - 1))?
0
Let f(p) = p**2 - p + 28. Let m be f(0). Suppose -200 = -4*v + m. Calculate the remainder when v is divided by 20.
17
Let b = -55 + 85. Calculate the remainder when b is divided by 8.
6
Suppose 3*u = -2*u - 10. Suppose 2*p + 3*i - 49 = 0, -3*i + 20 = i. What is the remainder when p is divided by 1*u*1 - -8?
5
Suppose -j = -40 - 1. Suppose -2 = -2*o - 0, -4*q + 4*o = -4. Suppose -34 = -w - 4*m, -w - w = q*m - 38. Calculate the remainder when j is divided by w.
13
Suppose 3*y + c = 71, 2*c - 51 = -5*y + 68. Suppose 3*g = 5*x + 26, 5*x - y - 35 = -4*g. Calculate the remainder when 22 is divided by g.
10
Suppose 3*c + 3*g - 18 = 0, -3*c + 4*g + 40 = 1. Calculate the remainder when 42 is divided by c.
6
Suppose z - 30 = -z. What is the remainder when 28 is divided by z?
13
Suppose -5*g + 109 = -11. Suppose -6*z + 3*z = -216. Suppose 0 = -4*y - 20 + z. What is the remainder when g is divided by y?
11
Let r(s) = 4*s - 3. Let v be r(5). Calculate the remainder when 46 is divided by (2 - (-6)/(-2)) + v.
14
Let n be 1 - 6/(-3*1). Suppose -5*s + n*s + 22 = 2*l, -3*l + 12 = 0. Calculate the remainder when 264/s - (-2)/7 is divided by 13.
12
Suppose 0 = 4*o + 2 - 30. Let b be (-7)/(o/(-2)) - -2. Suppose 4*h = b*y + 36, 4*h - y - 42 = -6. What is the remainder when 25 is divided by h?
7
Let h = -11 - -13. Suppose 0 = -4*k - u + 251, -4*k - 5*u = -h*k - 139. What is the remainder when k is divided by 16?
14
Let i = -79 + 33. Let o = -28 - i. Suppose 5*l = -4*a + 7, 5*a - 2 = 5*l + o. What is the remainder when 8 is divided by a?
2
Let z(l) be the third derivative of l**6/120 + l**5/15 + l**4/24 - l**3/3 - 2*l**2. Suppose 4*a - a + 9 = 0. What is the remainder when z(a) is divided by 3?
1
Let p(k) = -k**2 - 7*k - 6. Let x be p(-5). Suppose 0 = 4*h - 20, -9 = x*a + 2*h - 27. What is the remainder when -2 + (-16 - -1)/(-3) is divided by a?
1
Let h(i) = 16*i - 7. What is the remainder when h(4) is divided by 15?
12
Suppose 9*i - 15 = 210. Calculate the remainder when 97 is divided by i.
22
Let o = 2 + 6. Suppose -5*r = 3*j - o, -4*r + r - 59 = -4*j. Calculate the remainder when j is divided by 4.
3
Suppose 6 = -3*t - 9. Suppose 7*b = 3*b + 60. What is the remainder when 2/5 - 138/t is divided by b?
13
Suppose 4*p - 6*p + 52 = 0. Let x(k) = -15*k**3 - 2*k**2 - 2*k - 1. What is the remainder when p is divided by x(-1)?
12
Let l be 2/8 - (-4)/(-16). Suppose l = z - 71 + 21. What is the remainder when z is divided by 33/(-77) + (-122)/(-7)?
16
Suppose 2*f - 21 = 11. Suppose -3*a + 0*a - 3*c + 15 = 0, -3*c - 3 = a. What is the remainder when f is divided by a?
7
Let x = -5 + 7. Suppose -2 + 0 = -x*b. Let l(j) = 6*j - 1. What is the remainder when 13 is divided by l(b)?
3
Calculate the remainder when (-514)/(2 + -9 + 5) is divided by 43.
42
Suppose -x = x - 10, -3*y + 106 = 5*x. Calculate the remainder when 49 is divided by y.
22
Suppose r - 4*w = 6*r + 2, -4*r - 4*w = 0. Let a = 44 - 22. Calculate the remainder when a is divided by 14/1 + 0 + r.
10
Let v(f) = f**3 - f**2 - 3*f - 1. Let x = 106 - 92. Calculate the remainder when x is divided by v(3).
6
Suppose 70 = 5*p - 4*v, -12 - 18 = -5*p - 4*v. Suppose 2*t + 2 = -p. What is the remainder when 37 is divided by 2*((-39)/t - 0)?
11
Suppose a - 2*a = -5*t + 21, -2*t + 10 = 0. What is the remainder when 7 is divided by a?
3
Let r(u) = u + 16. What is the remainder when r(-8) is divided by 6?
2
Let t(m) = m**2 - 4*m - 3. Suppose 3*w = 3*r + 1 - 4, 0 = 5*r + 2*w + 16. What is the remainder when 24 is divided by t(r)?
6
Suppose -3*m + 532 + 299 = 0. Calculate the remainder when m is divided by 31.
29
Suppose 12 = h + h. Suppose -a + h*a = 30. What is the remainder when 10 is divided by a?
4
Let h = -17 + 19. Calculate the remainder when 3 is divided by h.
1
Let q(n) = 4*n**2 - 6*n + 1. Let k be 3/(-3)*3 - -7. What is the remainder when q(k) is divided by 14?
13
Let j = -27 + 33. Suppose -x + c + 2 = 4, -2*c = -2. Let h(g) = -22*g. What is the remainder when h(x) is divided by j?
4
Let q be (-1 - -2) + 0 - -1. What is the remainder when ((-2)/(-2))/(q/30) is divided by (1 + 4)*8/5?
7
Calculate the remainder when 30 is divided by 5/2*(-16)/(-5).
6
Let v(q) = q**3 - 7*q**2 + 2*q. Calculate the remainder when 110/(-2)*(-2 - -1) is divided by v(7).
13
Let o(x) = x + 51. Let v be o(0). Suppose -z = -4*z + 234. Suppose 0 = -3*a + 3*s + z, -2*a + s = -2*s - v. Calculate the remainder when a is divided by 14.
13
Let n(y) = -11*y**2 + 12*y**2 - 3 + 2*y + 3*y. Calculate the remainder when (-1 - -20)/(2/2) is divided by n(2).
8
Suppose -39 = -f - 2*f. What is the remainder when (0 + 74)*(-2)/(-4) is divided by f?
11
Calculate the remainder when 75 is divided by (-14)/((2/1)/(-4)) + -2.
23
Suppose 0 = 5*b + 3*r + 7, -4 = 3*b + r + 1. Let h be (-80 - -2)/3 + 2. What is the remainder when 30 is divided by h/9*12/b?
14
Let x = -11 - -17. Let y = 33 + -16. What is the remainder when y*((1 - 2) + 2) is divided by x?
5
Let w = 21 - 9. What is the remainder when 35 is divided by w?
11
Suppose p + 4 = 13. Calculate the remainder when 17 is divided by p.
8
Let l(b) = -b**3 - 6*b**2 - 4. Let q be l(-7). Suppose 4*a - 31 = q. What is the remainder when a is divided by (-20)/(2/(3 - 4))?
9
Suppose 0*r - 30 = -5*r. Let k(z) = z - 2. What is the remainder when 11 is divided by k(r)?
3
Let q be (-1 + 5 - 4)/(-2). Suppose q*h - 100 = -4*h. What is the remainder when 72 is divided by h?
22
Let y(k) = -k**3 - 8*k**2 - 9*k - 8. Calculate the remainder when 51 is divided by y(-7).
3
Let d(j) = -j**2 + 11*j - 3. Let u be d(8). Suppose 2*s + s = 5*r - 51, 3*r - 5*s - u = 0. Calculate the remainder when r is divided by 7.
5
Let m(j) = -j**3 + 6*j**2 + 9. Calculate the remainder when 16 is divided by m(6).
7
Suppose -31 = -0*y - y + 2*k, 0 = 3*y + 3*k - 57. What is the remainder when 43 is divided by y?
20
Suppose 3*g = -9, 4*h + 7 = 5*g + 34. Let q = -1 + h. Suppose -3*y + 15 = q*y. What is the remainder when 7 is divided by y?
1
Suppose -2*c - 6 = -5*c. Suppose -2*b = 2*b - 4. Calculate the remainder when c is divided by b.
0
Suppose -a - 4*c = -21 - 31, 2*a + 2*c = 86. Calculate the remainder when a is divided by 12.
4
Suppose -4*m + 344 = -4*g, -5*m - 2*g + 337 = -86. What is the remainder when m is divided by 23?
16
Let s(g) = -3*g + 2. Let t be s(2). Let l = 1 - t. Suppose 4*o - 37 = -1. What is the remainder when o is divided by l?
4
Suppose 0*o + 3*o - 9 = 0. Suppose o*t + 1 - 22 = 0. Calculate the remainder when 12 is divided by t.
5
Suppose 8*j - 8 = 4*j. Suppose 5*g = g + 16. Suppose -5*b + 27 = g*i - 2*i, 3*i + 3*b = 18. Calculate the remainder when j is divided by i.
0
Let y(b) = b**3 - b**2 + b + 10. Let f(c) = c + 4. Let l be f(-4). Let z = -15 - -33. What is the remainder when z is divided by y(l)?
8
Suppose -2 + 26 = 3*z. Suppose -8 = 2*p, 5*u - 3*p + 36 = 203. Calculate the remainder when u is divided by z.
7
Let y(p) = -p**3 - 2*p**2 - 3*p - 2. What is the remainder when 15 is divided by y(-2)?
3
Calculate the remainder when 8 is divided by -2*(0 + 10/(-4)).
3
Let l = -32 - -65. What is the remainder when l is divided by 9?
6
Let a(r) = r**2 - r + 2. Let g be a(0). Suppose 2*h - 10 = -2*x, 7*h = g*x + 2*h - 38. Calculate the remainder when 5 is divided by ((-3)/(-2))/(x/12).
1
Suppose 175 = 9*u - 662. What is the remainder when u is divided by 16?
13
Suppose 3*s + 119 = 5*i, 2*s - 13 = -i - s. Calculate the remainder when i is divided by 6.
4
Let v = 60 + -42. Calculate th