nder when k is divided by 8?
6
Suppose 6*b - 3 = 15. Suppose -3*p = b*f - 57, -4*f - 2*p - 37 + 109 = 0. What is the remainder when f is divided by 52/6 - (-2)/6?
8
Let n = -31 - -35. Let u(f) = f + 3. Let d be u(-5). What is the remainder when 2*d/(-4)*5 is divided by n?
1
Let r(s) = s**3 + 25*s**2 - s - 14. Calculate the remainder when r(-25) is divided by 2.
1
Let j(o) = -16*o**2 + 5*o - 1. Let w(d) = -47*d**2 + 14*d - 3. Let m(v) = 8*j(v) - 3*w(v). What is the remainder when m(2) is divided by 17?
15
Let c be (104/12)/(4/6). Let x = -1 + c. Calculate the remainder when x is divided by 7.
5
Let i(j) = -j**3 - 2*j**2 - 2*j - 3. Let s be i(-2). Let z = s - -2. What is the remainder when 3 is divided by z?
0
Suppose 2*h + 19 = 3*c + h, -4*c = -4*h - 36. Let t be (-12)/(-9)*3*-3. Calculate the remainder when 16/10*(-90)/t is divided by c.
2
Let d be 30*((-99)/15 + 3). Let a = -43 - d. Calculate the remainder when a is divided by 22.
21
Suppose -3*j + 636 = 3*t, -6*j - 830 = -4*t - j. Let q(a) = -5*a - 31. Let k be q(-7). Suppose t = k*d + d. Calculate the remainder when d is divided by 22.
20
Suppose -23 = -2*s + 4*f + 251, s + 2*f - 125 = 0. What is the remainder when s is divided by 22?
21
Suppose 0 = -2*q + q + 465. Suppose -q + 9 = -4*i. Let a = -74 + i. Calculate the remainder when a is divided by 14.
12
Suppose 0*t + 4*n + 10 = 2*t, 11 = 4*t + n. Suppose 0 = 2*q + 2*q - 44. What is the remainder when ((-138)/3)/(-2) - t is divided by q?
9
Suppose 3*x = 4*x - 17. What is the remainder when 65 is divided by x?
14
Let m be (-60)/(-14) - 2/7. Let h = m + -14. Let z = -6 - h. Calculate the remainder when z is divided by 3.
1
What is the remainder when ((-1)/(-2))/(2/252) is divided by 16?
15
Suppose 0 = 5*n - 16 + 6. Let p = -37 - -25. Let s = n - p. Calculate the remainder when s is divided by 5.
4
Let h be 2/(2/1) + 4. Suppose -20 = -h*a, -a + 2 = b - 3*a. What is the remainder when 19 is divided by b?
9
Suppose -5*a - 3*b = 2*b - 35, 3*a - 3*b - 3 = 0. Suppose -2*l = -0*l + a. Calculate the remainder when 46 - 1 - (l - -4) is divided by 15.
13
Let k(d) = -d**3 + d**2 - 2*d - 1. Let m = 68 - 38. Suppose 5*o + y = m + 117, 5*o = 2*y + 141. What is the remainder when o is divided by k(-2)?
14
Suppose i = k - 16, 4*k + 2*i = 42 - 2. Suppose -k*f + 10*f = -34. Calculate the remainder when 31 is divided by f.
14
Let n = -8 - -3. Let b be n/(-1)*4/10. What is the remainder when b - -2*9/6 is divided by 3?
2
Calculate the remainder when 26 is divided by 2/(4/2)*-3 + 17.
12
Suppose p = 32 - 4. What is the remainder when p is divided by 13 - (1/(-1) - 1)?
13
Suppose -6*l = -11*l + 20. Suppose -q + 7 = w + 2, -w = -l*q. Let m(c) = c**3 - 2*c**2 - 5*c + 2. What is the remainder when 40 is divided by m(w)?
12
Let o(g) = g**2 + 12*g - 13. Calculate the remainder when o(-14) is divided by 8.
7
Suppose -i + 40 = 11. What is the remainder when i is divided by 10?
9
Suppose 5*p - 2 = 3. Suppose -5*n = -10*c + 5*c + 20, -4*n - 23 = 3*c. Let r(h) = -h - 3. Calculate the remainder when r(n) is divided by p.
0
Suppose -p = -j + 30, j = -2*j + 5*p + 92. Suppose -49 = 3*k - 10. Let v = k + j. What is the remainder when 47 is divided by v?
15
Let d(x) = -x**2 + 5*x - 2. Let u = -2 + 2. Suppose 3*w - 7 - 2 = u. What is the remainder when w is divided by d(4)?
1
Calculate the remainder when (5 + -12)/((-3)/6) is divided by 8.
6
Let m be ((-984)/(-9))/4*3. Suppose 0 = 3*u - 2*z - 61, 0 = 2*u + 2*u - 3*z - m. Calculate the remainder when 73 is divided by u.
16
Let s(m) = 1 + 5 + m + 0*m. Let z(y) = -3*y - 13. Let r(c) = -13*s(c) - 6*z(c). What is the remainder when 28 is divided by r(3)?
13
What is the remainder when 45 is divided by -1 + 11 + 4 - -3?
11
Suppose 0 = 2*k - 4*o + 12, -5*o = -3*k - 4*o + 2. Calculate the remainder when 9 is divided by k.
1
Suppose 0*f + 4*r = -4*f, -4*f + 3*r + 28 = 0. Calculate the remainder when 12 is divided by f.
0
Let w(p) = -p**2 + 6*p - 5. Let a be w(4). Suppose 0 = -a*n - 2*i + 127, 7 = n - 5*i - 24. Calculate the remainder when n is divided by 14.
13
Let f be (-441)/15 - (-2)/5. Let u = f + 42. Let k = 9 + -4. What is the remainder when u is divided by k?
3
Suppose -2*s = -0*g - g + 2, 5*g = 4*s + 40. Suppose -4*z + 3*j - 2 = 18, z + 3*j = -20. What is the remainder when (2 + (-172)/z)*2 is divided by g?
11
Suppose 25 = 8*u - 3*u. Suppose -u*f = -0*f - 275. Calculate the remainder when f is divided by 14.
13
Let z be 6 - ((2 - 1) + -1). Suppose 4 = n - z. Calculate the remainder when 20 - (-1 - -1) - 1 is divided by n.
9
Let k(i) be the third derivative of -i**4/12 + i**3/6 + 7*i**2. Let s(u) = -5*u + 1. What is the remainder when s(-4) is divided by k(-5)?
10
Suppose 2*w = 6 + 14. Let m be (-428)/w - 2/10. Let t = m - -89. Calculate the remainder when t is divided by 16.
14
Suppose 0*j - 5*j = -10, 2*j = 4*x - 8. Suppose -2*g + 3*c = -105, g - x*c = c + 40. What is the remainder when g is divided by 21?
18
Let w be 4/2*(6 + -4). Suppose w*b - 14 = 166. What is the remainder when b is divided by 16?
13
Suppose -y = y - 10. Let g(f) = -3*f - 3. Let c be g(-2). Suppose 3*d - 45 = -c*w, -3*d = -4*d + 1. Calculate the remainder when w is divided by y.
4
Let x(c) = 2*c**3 + 15*c**2 - 11. What is the remainder when 111 is divided by x(-7)?
35
Suppose -b + 10 = -14. What is the remainder when b is divided by 13?
11
Let k be 8/(((-6)/(-21))/(-2)). Let c = 122 + k. Calculate the remainder when c is divided by 17.
15
Suppose 5*w + 2 = -3*n + 3, 4*w = -4*n + 4. Calculate the remainder when n is divided by 1.
0
Suppose -4*u - 5*j + 101 = -0*u, 0 = u - j - 14. Calculate the remainder when 112 is divided by u.
17
Let u(a) = -a**2 + 11*a - 7. What is the remainder when 81 is divided by u(7)?
18
Let h(y) = y**3 + y**2 - 4. Let f = -37 + 54. What is the remainder when h(3) is divided by f?
15
Let y = 6 - 10. Let o = 13 + y. Let r(f) = f**3 - 8*f**2 - 2*f - 6. What is the remainder when r(o) is divided by 15?
12
Let w(s) = s**2 - 3*s - 5. Calculate the remainder when 91 is divided by w(-4).
22
Suppose -4*g + m + 14 = 0, g = 2*g - 5*m - 13. Calculate the remainder when 18/(-16) + 1 - (-2173)/424 is divided by g.
2
Suppose l = -3*p + 2*p + 34, 137 = 4*p + 3*l. What is the remainder when 67 is divided by p?
32
Let h(d) be the third derivative of 7*d**5/60 - d**4/8 + d**3/3 + d**2. What is the remainder when -69*(1 + (-10)/6) is divided by h(2)?
22
Let x(v) = -4*v + 28. What is the remainder when x(-15) is divided by 15?
13
Suppose -i = h - 168, 4*h - h + 5*i - 508 = 0. Calculate the remainder when h is divided by 7.
5
Suppose 0 = -4*v - 25 + 1. Calculate the remainder when 33/((-1)/(4/v)) is divided by 12.
10
Suppose 4*s - 3 = 45. What is the remainder when s is divided by 5?
2
Let u = -27 + 45. Let s(i) = -i**3 + 12*i**2 + 19*i - 8. What is the remainder when s(13) is divided by u?
16
Let s(o) = -87*o. Let b be s(-1). Suppose 0 = 2*k + k - b. What is the remainder when k is divided by 10?
9
Suppose 4*y = 82 - 30. Let t = 50 - 25. Calculate the remainder when t is divided by y.
12
Suppose -3*g + 0*g = b + 6, 3*b - 30 = 3*g. Let h = b - 1. Calculate the remainder when 12 is divided by h.
2
Let t(i) be the second derivative of i**3/6 + 2*i**2 - 3*i. What is the remainder when 11 is divided by t(0)?
3
Let j(d) = -d**3 - 17*d**2 + 82*d - 29. Suppose -6 = -2*x, 2*p + 5*x - 19 - 248 = 0. Let w = p + -90. Calculate the remainder when w is divided by j(-21).
10
Suppose 1 = w - 6. Suppose -3*n + 4*y + 82 = 0, 3*y + 73 + 48 = 4*n. Suppose 6 = 2*d - n. Calculate the remainder when d is divided by w.
6
Suppose 4*r + 7*r - 363 = 0. What is the remainder when r is divided by 12?
9
Suppose 6*g - 770 = -g. What is the remainder when g is divided by 28?
26
Let h be (0 + 1)*(-1 + 1). Suppose 3*r - 2*r - 4 = h. Suppose -u - 45 = -r*u. Calculate the remainder when u is divided by 9.
6
Suppose 4*t = -0 + 72. Calculate the remainder when t is divided by 10.
8
Suppose 9*j - 112 = -49. Calculate the remainder when 34 is divided by j.
6
Suppose -3*o = -7*o + 20. Calculate the remainder when 16 is divided by o.
1
Calculate the remainder when -17 - -48 - (1 + 3/(-3)) is divided by 7.
3
Suppose -9 = -2*h + 9. Let a = -1 + 1. Suppose -3*u - 2*b = -70, a*u = -u - 4*b + 10. W