der when 19 is divided by q.
9
Let s(d) = -d**2 + 7*d - 2. Suppose -7*a + 2 = -6*a. What is the remainder when s(5) is divided by a?
0
Suppose 4 = w, -2*w + 50 = 2*o + 2*w. Let k(q) = q**3 + 7*q**2 + 4*q - 1. What is the remainder when k(-4) is divided by o?
14
Let d(t) = 0*t + 4*t - 5*t + 9. Suppose 2*y + 17 = 49. Calculate the remainder when y is divided by d(0).
7
Let x(z) = 6*z**2 + 3*z + 1. What is the remainder when 73 is divided by x(-2)?
16
Suppose 0 = 3*g + 5*k - 184, 2*g - 4*k - 86 = 22. Suppose -4*z - 2*y + g = 0, -3*z + 0*y + 2*y = -33. What is the remainder when 50 is divided by z?
11
Suppose 3*y - 5*w - 121 = -7*w, 25 = 5*w. What is the remainder when y is divided by 10?
7
Suppose -x = -4*s + 50, -4*x = 2*s - 3*x - 28. Let y be (0/(1 + 1))/2. Suppose -75 = -3*p - y*p. What is the remainder when p is divided by s?
12
Let r(v) be the third derivative of v**6/120 - v**5/30 - v**4/12 + 4*v**2. Calculate the remainder when (-1)/((2 + 0)/(-18)) is divided by r(3).
0
Let i(u) = -u**3 - u**2 - 1. Let s be i(-2). Suppose s*g + 2*g - 140 = 0. What is the remainder when g is divided by 15?
13
Let y = 15 - -8. Calculate the remainder when y is divided by -4 + (3 - -1) + 12.
11
Suppose q + 5 + 5 = 3*i, -18 = -2*i - 5*q. Calculate the remainder when (i/(-5))/((-4)/170) is divided by 18.
16
Suppose -3*u = -h + u, 5*u = 2*h - 6. What is the remainder when h is divided by 4*-1*-1 + 4/(-4)?
2
Let l(k) be the first derivative of -15*k**2/2 - 3*k - 9. Calculate the remainder when 44 is divided by l(-1).
8
Let g(z) = -z - 3. What is the remainder when g(-14) is divided by 7?
4
Suppose 4*z = 5*z, 5*i - 495 = -4*z. Calculate the remainder when i is divided by 26.
21
Suppose -10 - 80 = -6*o. Calculate the remainder when 44 is divided by o.
14
Suppose s - 1 = -4*r - 22, -2*s - 22 = 4*r. Let h be 1 - (s + 0) - 2. Suppose -3*o + 66 = -h*o. What is the remainder when o is divided by 12?
10
Suppose 4*b = 85 + 79. What is the remainder when b is divided by 17?
7
Let h(m) = -m**2 + 1 - 4 - 13*m + 3*m + 0. Calculate the remainder when 62 is divided by h(-4).
20
Let v = -78 + 199. Suppose -5*y - 118 - 43 = -u, 3*y - v = -u. Suppose -102 = -c - 2*c - 4*a, u = 4*c - 4*a. Calculate the remainder when c is divided by 12.
10
Let p(l) = -l**3 + 8*l**2 + 3*l + 6. What is the remainder when 88 is divided by p(8)?
28
Suppose 0 = 4*y + 7 - 3. Let n = 3 - y. Suppose -m - 4*m = 2*a - 250, -n*m + 3*a + 223 = 0. Calculate the remainder when m is divided by 18.
16
Let i = 5 + 0. Suppose 4*d + 46 = -5*m + 136, -i*d = -3*m + 17. Calculate the remainder when m is divided by 4.
2
Suppose 20 = q + 3*q. Let x = -5 - -10. Suppose -61 = -4*l - 3*p + 8*p, -x*p = 2*l + 7. Calculate the remainder when l is divided by q.
4
Let s = 100 - 92. Let h = -31 + 44. Calculate the remainder when h is divided by s.
5
Let s(n) = -n**2 + 17*n + 12. Calculate the remainder when s(16) is divided by 13.
2
Let u(k) = k + 5. Let f be u(-4). Let d = f + 14. Suppose -1 = 5*i + 9, -4*i = -2*j + 64. Calculate the remainder when j is divided by d.
13
Let d(v) be the first derivative of -v**3/3 + 4*v**2 - v + 2. Calculate the remainder when 11 is divided by d(7).
5
Suppose 16*y - 19*y + 12 = 0. Suppose -y*z - 3 = -19. Calculate the remainder when 15 is divided by z.
3
Suppose -2*v = -v + 510. Let h be (-2)/(-7) - v/(-21). What is the remainder when 1 + 0 + h/(-3) is divided by 3?
0
Let p(x) = 3*x**2 + x + 1. Let s = -16 + 10. Let u be p(s). Suppose -3*m = q - 22, 3*m = 4*q - 0*m - u. Calculate the remainder when q is divided by 13.
12
Let p = 197 - 131. What is the remainder when p is divided by 17?
15
Let u(b) = b**3 - 7*b**2 + 6*b - 8. Let w(f) = -9*f. Calculate the remainder when u(7) is divided by w(-1).
7
Suppose 0 = -5*z - k + 50, 0 = -4*k + 2*k - 10. What is the remainder when (43/(-2)*-1)/(4/8) is divided by z?
10
Let d be 27/6 - 2/4. Suppose -d = s - 12. Suppose 5 = -y, -4*o + 3*y = -59 - 48. Calculate the remainder when o is divided by s.
7
Let y be -1*0/(-2 - 1). Suppose 2*u - 5 = -r, -2*u - 3*r + 0*r - 1 = y. Let w(z) = 2*z**2 + 3*z + 4. What is the remainder when w(-3) is divided by u?
1
Let f(i) = -7 + 9 - 8*i - 4 - i**2. What is the remainder when 29 is divided by f(-6)?
9
Let c be (0 - -47) + 3/3. Suppose 44 = 2*x + f, 0*x + 2*x + 2*f - c = 0. Suppose -3*p + 8*p = x. What is the remainder when 14 is divided by p?
2
Let z(k) = -112*k + 2. Suppose 4*r - 1 = -n - 10, 2*n = -2. Let s be z(r). Suppose -s = -5*w + 24. Calculate the remainder when w is divided by 17.
16
Let b = 47 - 29. Calculate the remainder when 45 is divided by b.
9
Let d(y) = 2*y**3 + 42*y**2 + 27*y + 25. Calculate the remainder when d(-20) is divided by 41.
39
Let b(t) = t**3 - t + 2. Let s be b(2). Suppose -n - 5*h + 30 = s, -2*n = 5*h - 34. What is the remainder when 35 is divided by n?
11
Suppose 0 = i - 4*n - 48 - 18, -2*n - 2 = 0. Suppose -2*h + 1 = -h. Let b(d) = 20*d**2 + d. Calculate the remainder when i is divided by b(h).
20
Suppose -j = -d - 6, -d - 30 = j - 6*j. Suppose -s + j*s = 0. Suppose s = 3*h - 7*h + 76. Calculate the remainder when h is divided by 10.
9
Let d = -2 - -7. Suppose 0*l + d*l = -4*o - 211, -3*l = 4*o + 213. Let a = -34 - o. Calculate the remainder when a is divided by 11.
9
Suppose -3*m = 2*m - 120. Calculate the remainder when 46 is divided by m.
22
What is the remainder when 112 is divided by ((-184)/(-12))/((-2)/(-3))?
20
Suppose 4*l = c + 50, -4*l + 46 = c - 0. What is the remainder when l is divided by 7?
5
Let v(g) = g. Let a be v(-2). Let f be (a/(-6))/(1/87). Let k = f + -21. What is the remainder when 15 is divided by k?
7
Let c be -3*8/(-12) + 209. Suppose -c = -4*l + 153. What is the remainder when l is divided by 23?
22
Let w(t) = -9*t - 4. Suppose -87 = -6*a + 3*a. Let g = -15 + a. Calculate the remainder when w(-5) is divided by g.
13
Let h(w) = -w**2 + 4*w - 3. Suppose 0*f + 3*q - 1 = -5*f, 20 = 4*f - 4*q. What is the remainder when 2 is divided by h(f)?
0
Let p(x) = x**3 - 2*x**2 - 3*x + 2. Let k be p(-3). Let c = k - -48. What is the remainder when (-1)/(0 + (-2)/106) is divided by c?
11
Suppose -75 = -4*j + z - 0*z, -2*j + 55 = 3*z. Let r = -8 - -12. Suppose 5*o = r*s + 39, 0 = 3*o + s - 29 - 8. Calculate the remainder when j is divided by o.
9
Suppose 17*i = 16*i + 74. What is the remainder when i is divided by 13?
9
Let k be (-4)/3*(-4 + 1). Suppose -2*p + 89 = 4*f + 3*p, k*p = 4*f - 44. Calculate the remainder when 30 + (-12)/(-3) + -4 is divided by f.
14
Suppose 0 = -y + 4*q + 15 + 8, -4*y + 66 = -3*q. What is the remainder when 29 is divided by y?
14
Let r = 13 + -43. Calculate the remainder when 12 is divided by 20/r - (-34)/6.
2
Let m = 6 + -2. Let j be 57/11 - (-2)/(-11). Suppose 3*w = -j*d + 15, -3*d = w + 1 - 2. What is the remainder when w is divided by m?
2
Let i(z) = 20*z**2 + z + 1. What is the remainder when 78 is divided by i(-1)?
18
Suppose -5*r + 147 = 2*p, 0 = 5*r + 2*p + 2*p - 149. Calculate the remainder when 112 is divided by r.
25
Let l(v) = v**2 + 2*v - 3. Suppose -3*j - j = -16. Suppose 5*h - j*h = 8. What is the remainder when h is divided by l(2)?
3
Let x(y) = -2*y - 2. Calculate the remainder when 4 is divided by x(-3).
0
What is the remainder when (24 + 0)*3/2 is divided by 13?
10
Let l = -11 - -21. Let z(w) = -4*w**3 + 3*w**2 + 2*w - 1. Calculate the remainder when z(-2) is divided by l.
9
Let p(k) = -4*k**3 + 3*k**2 + k. Calculate the remainder when 38 is divided by p(-1).
2
Let m(v) = v**2 + 7*v + 3. Let w be m(-7). Suppose -3*p + 0*t + 33 = 2*t, w*p - 18 = 3*t. What is the remainder when -2 + (-36)/((-1)/1) is divided by p?
7
Suppose 5*x + g = 50 + 12, -3*g + 18 = x. Calculate the remainder when 57 is divided by x.
9
Calculate the remainder when (4/(-3))/(5/(-135)) is divided by 13.
10
Suppose 4*m - 90 + 14 = 0. Let c = m + -5. What is the remainder when (8/5)/((-1)/(-25)) is divided by c?
12
Suppose -2*w + 3*t = -1, 0 = -w + t + 2. Calculate the remainder when 7 is divided by w.
2
Let a(k) = -k**3 + 12*k**2 + 3*k - 8. Let w be a(12). Suppose d = -0*d + w. Calculate the remainder when d is divided by 15.
13
Suppose 5*r - 3*n = 87 + 134, -5*n - 169 = -4*r. Calculate the remainder when r is divided by 17.
12
Let f(a) = -10*a + 3. Calculate the r