
13
Let d = -58 + 96. Let p(r) = -r + 10. Let s be p(7). Suppose c + 26 = s*c. Calculate the remainder when d is divided by c.
12
Suppose -6*d + 3*d = 0. Suppose d = -2*s - 2*l + 56, s - 4*s = 2*l - 85. Calculate the remainder when s is divided by 15.
14
Suppose 2*y + 4*h = -3*y + 202, -y - h = -41. Let f = 24 - 15. What is the remainder when y is divided by ((-78)/f)/(2/(-3))?
12
Suppose 4*t - 2*t + 18 = 0. Let n = t + 9. Suppose -58 = -2*s + 4*q, -s + n*q = -3*q - 33. Calculate the remainder when s is divided by 8.
5
Suppose 2*v = v + 4*k - 1, 0 = 2*v - 3*k - 18. What is the remainder when 57 is divided by v?
12
Suppose -372*v = -374*v + 76. Calculate the remainder when v is divided by (-41)/(-4) - (-2)/(-8).
8
Let m be 7/(-14) + 1/2. Suppose 0 = 3*r - 19 - 17. Suppose m*u - u = -r. Calculate the remainder when 46 is divided by u.
10
Suppose 2*w - 76 = -2*w. Let c(s) = 3*s**2 + 5*s + 5. Calculate the remainder when w is divided by c(-2).
5
Let k(h) = -h - 5. Let n be k(-5). Suppose -3*r + 17 = -2*r - z, -2*r + 4*z + 42 = n. Calculate the remainder when 24 is divided by r.
11
Let u = -198 + 309. Calculate the remainder when u is divided by 28.
27
Let u = 9 - -3. Let m(f) = -2*f + 3. Let n be m(-5). Let h = n + 10. What is the remainder when h is divided by u?
11
Let i = 6 - 3. Suppose -i = z - 17. Calculate the remainder when 27 is divided by z.
13
Suppose -7*k + 372 = 4*b - 3*k, -2*b - k = -187. Let u = b + -64. What is the remainder when 58 is divided by u?
28
Let q = -10 + 24. What is the remainder when q is divided by 3?
2
Suppose -12*u = -10*u - 178. Calculate the remainder when u is divided by 45.
44
Let u(r) = -r**3 + 8*r**2 - 10*r - 6. What is the remainder when 111 is divided by u(6)?
3
Let h(b) = -4*b + 21. Calculate the remainder when h(0) is divided by 11.
10
Let j = 5 - 7. Let q be 30/(2/((-4)/j)). Let c = q + -21. Calculate the remainder when 25 is divided by c.
7
Suppose -52 = 13*n - 14*n. Calculate the remainder when n is divided by 19.
14
Suppose 0 = -3*j + 107 + 49. What is the remainder when j is divided by 18?
16
Suppose 0*y = 3*y. Suppose 0 = -2*v + r + 13, 3*v - 4*r - 11 - 11 = y. Calculate the remainder when -25*(-1)/((-15)/(-6)) is divided by v.
4
Let y be (-21)/14 - 1/2. What is the remainder when 1 is divided by y - (-2 - 3/3)?
0
Let j = 27 + -19. Let m = j + -5. Calculate the remainder when 11 is divided by m.
2
Calculate the remainder when (0 - 80/4)*-3 is divided by 9.
6
Let v = 5 - 2. Suppose 5*t - n - 19 = -2, 0 = 5*t + 5*n - 5. Suppose -77 = -0*c - 3*c - 4*i, t*c = v*i + 105. Calculate the remainder when c is divided by 11.
9
Let s = 9 + -8. Let n = s - -5. Calculate the remainder when 21 is divided by n.
3
Suppose -34 = -d + 4*p - 2*p, 2*d - 73 = 5*p. What is the remainder when d is divided by 17?
7
Let d = 6 - 4. What is the remainder when (-1 - (-6 - -2)) + 2 is divided by d?
1
Suppose 8*y - 72 = 5*y. Calculate the remainder when (2 - 1)/(8/568) is divided by y.
23
Let l = 79 - 128. Calculate the remainder when (l - 1)*4/(-8) is divided by 14.
11
Suppose -3*x + 11 + 10 = 0. Calculate the remainder when 34 is divided by x.
6
Let u be -2 - (0 + -1 + -46). Suppose -4*t + u = -t. Suppose 0*c = c - t. Calculate the remainder when c is divided by 9.
6
Suppose -5*p + 22 = h - 9, 5*h - 47 = 2*p. Suppose 6 = 3*o - 0. Calculate the remainder when h is divided by (o/3)/((-1)/(-6)).
3
Suppose -3*f - 5*m + 5 = 0, -f - f - m + 8 = 0. What is the remainder when 22 is divided by f?
2
Let o = -124 - -174. What is the remainder when o is divided by 10*(2 - 1) + 3?
11
Let g(k) = k**3 + 6*k**2 + 3*k. Let b(c) = -5*c. Let q be b(-1). Suppose -22 = q*l - 167. What is the remainder when l is divided by g(-5)?
9
What is the remainder when 13 is divided by (16/(-10))/((-6)/15)?
1
Suppose d - 68 = -4*v - v, 0 = 2*d - 4*v - 122. Calculate the remainder when d is divided by 16.
15
Let p = 15 - 7. Let f(q) = q**2 - 4. What is the remainder when f(5) is divided by p?
5
Let f(i) = -26*i + 3. Let a be f(-4). Suppose 2*y + 5*w = a, -y - 2*y + w = -169. Calculate the remainder when y is divided by 19.
18
Let w = 5 + 15. Calculate the remainder when 57 is divided by w.
17
Let w(z) be the second derivative of 2*z - 1/6*z**3 + 0 + 1/2*z**2. What is the remainder when 23 is divided by w(-7)?
7
Let v(z) = z**3 - 11*z**2 - 10*z - 1. What is the remainder when v(12) is divided by 13?
10
Let w(f) be the third derivative of -f**3 - 1/3*f**4 + 1/15*f**5 + 0 + f**2 + 0*f + 1/120*f**6. What is the remainder when 25 is divided by w(-5)?
7
Let d(g) = -2 + g**2 - 5*g + 6*g + 4*g. Let a = -115 + 121. What is the remainder when a is divided by d(-6)?
2
Let p be 0 + 7 + -2 - 2. Let a = 4 - p. Let d(j) = j**2 - 5*j - 4. Calculate the remainder when d(6) is divided by a.
0
Suppose 4*d + 3*b = 76, 0 = 5*d - 3*b + 8*b - 90. Suppose -5*z + z = -192. Calculate the remainder when d is divided by ((-2)/(-4))/(2/z).
10
Let w(k) = k**2 + 9*k + 4. Calculate the remainder when w(-9) is divided by 4.
0
Suppose -20 = -2*i - 8. What is the remainder when 57 is divided by (40/i)/(2/6)?
17
Let w(r) = 8*r - 10*r + 3 + 3. What is the remainder when 22 is divided by w(0)?
4
Let x(f) be the first derivative of 3*f**2 + f + 3. What is the remainder when x(6) is divided by 13?
11
Let s be 14/12*-2*3. Let p = 11 + s. Calculate the remainder when 6 is divided by p.
2
Suppose -257 = 3*z - 2*o - 870, -z - 5*o + 227 = 0. Calculate the remainder when z is divided by 42.
39
Let r(i) = i**2 - 2*i + 2840. Let m be r(0). What is the remainder when m/50 + 2/10 is divided by 15?
12
Let v(m) = -2*m + 5. Suppose 0 = -0*g - 2*g - 8. What is the remainder when 38 is divided by v(g)?
12
What is the remainder when (-1)/(7/2) - (-5481)/147 is divided by 15?
7
Suppose 0 = 3*y + 4*z + 6, 10 = -3*y + 2*y - 4*z. Suppose -y*s = 16 + 6. Let n = s + 39. Calculate the remainder when n is divided by 10.
8
Let l(u) = -u**3 + 12*u**2 - 10*u - 8. Let c be l(11). Let j be 5/(-5) + 1 + c. Suppose 0 = -j*m + 28 - 1. Calculate the remainder when 26 is divided by m.
8
Let l be 29/5 + 7/35. Suppose 26 = m + l. What is the remainder when m is divided by 11?
9
Let c = -1 + 1. Suppose l + c - 2 = 0. Suppose -5*z + v + 22 = -0*v, 3*z - 9 = l*v. Calculate the remainder when z is divided by 2.
1
Suppose 174 = -7*x + 720. Suppose h + 3*b - 16 = 5*b, -4*b = -5*h + 92. What is the remainder when x is divided by h?
18
Let q = 8 + -6. Suppose 0*s - 4*x - 39 = -s, 5*s + 5*x = 70. What is the remainder when s is divided by 9 + 2 + q/(-2)?
9
Let i(j) be the third derivative of -j**4/24 + 2*j**3/3 - 2*j**2. Let r be i(3). Let p = r - -41. What is the remainder when p is divided by 22?
20
Let g(b) = b**2 - 10*b + 24. What is the remainder when 85 is divided by g(9)?
10
Let y = -1 - -5. Suppose -y*g = g + 15. Let d = 0 - g. Calculate the remainder when 5 is divided by d.
2
Let t = -4 - -10. Suppose 3*r - 5*k = 20, -t*r - 5*k = -4*r - 5. Calculate the remainder when r is divided by 3.
2
Suppose s = j + 9, -2*s + 1 = 5*j + 11. Let i = 163 + -116. Calculate the remainder when i is divided by j/(-3 + 33/12).
15
Suppose -p + 2*t + 12 = 7*t, -3*t + 28 = -2*p. Calculate the remainder when 14*(-2)/p*2 is divided by 3.
1
Let i(c) = -2*c - 3*c + 2*c + 0*c + 2. Calculate the remainder when i(-5) is divided by 10.
7
Let n = 76 + -56. Suppose 4*w = -4*u + 332, -u + 47 = -5*w + 432. Calculate the remainder when w is divided by n.
18
Let i = -51 - -64. Calculate the remainder when 129 is divided by i.
12
Let j = 2 + 1. Let n(f) = f**2 + 2. Let a be n(2). Suppose i + 2 = v + a, j*v - 12 = -i. What is the remainder when i is divided by 4?
2
Let g(v) = -11*v - 60. Calculate the remainder when g(-8) is divided by 16.
12
Let r = 67 - 45. Suppose -5*g = -20 - 15. Suppose 3*p - 2*a = g + 9, -4*p + 22 = -2*a. What is the remainder when r is divided by p?
4
Let i(v) = -v**3 + 6*v**2 + 5*v. What is the remainder when i(6) is divided by 8?
6
Let k = 45 - 35. What is the remainder when k is divided by 6?
4
Suppose 0*y = 3*y - 93. Let c = 35 + -19. What is the remainder when y is divided by c?
15
What is the remainder when -3 + (-100)/(-4) + -2 is divided by 11?
9
Let u be (-1)/1 + (-5 - -7). Let i = 5 + u. Let m = 38 + -22. Calculate the remainder when m i