der when 47 is divided by d(r).
11
Suppose -3*q = 2*a - 55, -3*q = -3 + 18. Calculate the remainder when 207 is divided by a.
32
Let v(c) = 4*c**2 + 4*c - 3. Calculate the remainder when v(2) is divided by 6.
3
Let u(b) = b**3 - 20*b**2 + 9*b - 31. Calculate the remainder when u(20) is divided by 38.
35
Suppose 3*c - 2*f = 41, c = -2*c - 2*f + 37. Calculate the remainder when 37 is divided by c.
11
Let l = 81 - 74. Calculate the remainder when 68 is divided by l.
5
Suppose -5 - 1 = 2*a, -3*c - 2*a + 117 = 0. Suppose -4*y + 4 = -16. Suppose 3*o - y*u - c = 16, 9 = -3*u. What is the remainder when 26 is divided by o?
12
Suppose -3*m - 5*h = -11, 0 = 5*h + 7 - 27. Let c(q) be the first derivative of -2*q**2 + 3*q + 9. What is the remainder when 43 is divided by c(m)?
13
Let q(w) be the first derivative of -4*w + 1/2*w**2 - 2. What is the remainder when 15 is divided by q(10)?
3
Let z(x) = x**3 + 6*x**2 + 4. Suppose 5*a = 3*a + 10. Suppose a*c - 18 = 32. What is the remainder when c is divided by z(-6)?
2
What is the remainder when 56 is divided by (-8)/(-2 + 1) + 4?
8
Let z(w) = -w**2 + 5*w + 8. Let n be z(6). Suppose -5*i + 10*i + 25 = 5*h, n*h = 5*i + 10. What is the remainder when h is divided by 2?
1
Suppose -2*t + 135 = t + 4*g, 5*g - 56 = -t. Calculate the remainder when t is divided by 11.
8
Let d(a) = 8*a + 1. Let m = 11 + 39. Calculate the remainder when m is divided by d(2).
16
Let f = 6 - 4. Suppose -f*w = 4*t + 16, 0*t - 5*t - 20 = 2*w. What is the remainder when 43 is divided by 2 - (w + -15 + 2)?
13
Suppose -4*i + 82 = y, i - 29 - 1 = -5*y. Calculate the remainder when i is divided by 12.
8
Let h be (3 + 6)*(-12)/(-9). Suppose -4*d + 37 = -3*d. Calculate the remainder when d is divided by 2/6 - (-152)/h.
11
Suppose w - 2*w = -2*a + 32, 18 = a - w. Calculate the remainder when 38 is divided by a.
10
Let j = -1 - -3. Calculate the remainder when (-3)/5*1*-5 is divided by j.
1
Suppose -s = s - 5*l - 32, 0 = -3*s - 5*l + 23. What is the remainder when 41 is divided by s?
8
Let w(r) = 3*r**3 + r**2 + 5 - 7 - 6*r**2 - 5*r**3. What is the remainder when w(-4) is divided by 16?
14
Let j(r) = r**2 - 2*r - 7. Suppose 5*q = 4*v - 22, 2*q = v - 0*q - 7. Calculate the remainder when j(5) is divided by v.
2
Let g(r) = -r**3 - 3*r**2 + 3*r - 2. Suppose -16 = 3*c - 5*a + a, 2*c - 2*a + 8 = 0. Let l be (2/5 - c)*-10. Calculate the remainder when 7 is divided by g(l).
1
Suppose -3*w - 15 = 5*q + 2*w, w + 11 = 3*q. What is the remainder when 15 is divided by q?
1
Suppose 4*t - c - 98 = 47, t = -5*c + 31. Suppose -3*x = x - t. What is the remainder when x is divided by 5?
4
Suppose 5*g + 3*o - 86 = 0, g - 3*g = 4*o - 40. What is the remainder when (-277)/(-9) - (-4)/18 is divided by g?
15
Suppose 5*x + 0*h + 5*h = 0, 4*h + 4 = -3*x. Let b(f) = -f**3 + 2*f**2 - f + 3. Let l be b(x). Let t = -9 - l. What is the remainder when t is divided by 13?
11
Let j = 43 - -23. Calculate the remainder when j is divided by 17.
15
Suppose 0 = 3*b + 9 - 72. Calculate the remainder when 41 is divided by b.
20
Let y be -3 + (0 - 1)*-33. Let j = y - 21. What is the remainder when 16 is divided by j?
7
Suppose 3*u = -u - 4*t + 12, -5*u + 5*t = -65. What is the remainder when 38 is divided by u?
6
Suppose 4*l = 0, 14 = 2*j + 4*l + 4. Suppose 4*b = -b - j, -v - 4*b + 3 = 0. What is the remainder when v is divided by 4?
3
Suppose -4*b + 6*b = 38. What is the remainder when b is divided by 11?
8
Suppose -3*z + 12 + 12 = 0. Let y(f) = -f**3 + 11*f**2 + 3. What is the remainder when z is divided by y(11)?
2
Let h = -7 - -7. Suppose h*q + 48 = 4*q. Calculate the remainder when 35 is divided by q.
11
Suppose 44 = 2*a + 3*k, 4*a - 3*k - 66 = 58. Calculate the remainder when 82 is divided by a.
26
Let d(f) = 5*f + 76. What is the remainder when 30 is divided by d(-12)?
14
Let z = -4 + 4. Suppose -3*v - 4 + 19 = z, -3*i = -2*v - 17. Calculate the remainder when i is divided by 1/((-2)/(-20)*2).
4
Let t be 2/(-2) + 2 + 2. Suppose -t*b = -0*b - 114. Let l = -27 + 40. What is the remainder when b is divided by l?
12
Let b = -3 - -18. Suppose 0*r = -3*n + 3*r + b, 21 = 5*n - r. Calculate the remainder when n is divided by 3.
1
Let t(f) = f**2 - 24. Let j be t(0). What is the remainder when 33 is divided by 4*-34*3/j?
16
Let v(p) = 26*p**2 + p + 1. Let h be v(-1). Let w = h + -6. What is the remainder when w is divided by 12?
8
Suppose -2 = 2*f - 8. Suppose 0*x = -2*x. Let k = x + f. Calculate the remainder when 4 is divided by k.
1
Suppose -26 - 6 = -4*q. Calculate the remainder when 37 is divided by q.
5
Let t be -9*(-1 + (-120)/(-9)). Calculate the remainder when t*((-14)/(-6) - 3) is divided by 25.
24
Let o = 61 + -47. What is the remainder when 41 is divided by o?
13
Let o(q) = -2 + 7 - 1 + q. What is the remainder when (-6)/8 - (-150)/40 is divided by o(-2)?
1
Let c = 1 + 1. Suppose -k - c*k + 60 = 3*s, -3*k - 5*s + 70 = 0. What is the remainder when 42 is divided by k?
12
Suppose -4*z = -a - 36, -5*a + 10*a - 20 = 0. Suppose 2*i = -0*v - v + 35, v - 2*i = 19. Calculate the remainder when v is divided by z.
7
Suppose 0 = -k + 154 - 39. What is the remainder when k is divided by 40?
35
Suppose -3*d + 4*u - 104 = 0, -5*d - 255 + 76 = -u. What is the remainder when 31 is divided by 302/18 - 8/d?
14
Suppose 6*v - 3*v - 12 = 0. Suppose v*s - 27 = s. Calculate the remainder when s is divided by 5.
4
Let i = -3 - -4. Let x = i - -1. Suppose 95 = x*g + 3*g. What is the remainder when 55 is divided by g?
17
Let v(i) = -i**3 - 3*i**2 - i + 3. Calculate the remainder when 29 is divided by v(-3).
5
Let y(j) = 9*j - 1. What is the remainder when y(7) is divided by 16?
14
Let s = 389 - 200. Calculate the remainder when s is divided by 24.
21
Suppose i - 3*u - 31 = 0, -2*u + u = 0. What is the remainder when 90 is divided by i?
28
Suppose 3*p + p - 8 = 0. Suppose -2*q + 8 = -0*q. Suppose 3*o + 7 = 2*r, q*o + o + 20 = 5*r. Calculate the remainder when p is divided by o.
0
Let i(a) = 2*a**3 + 27*a**2 + 4*a + 12. Calculate the remainder when i(-13) is divided by 44.
41
Let h = 7 + 3. What is the remainder when 27 is divided by h?
7
Let i(l) = -l**3 + 5*l**2 - 5*l + 10. What is the remainder when 48 is divided by i(3)?
9
Let o = 14 + -11. Suppose -6*z = -o*z - 54. What is the remainder when z is divided by 10?
8
Suppose 23 = 5*j - 62. Calculate the remainder when j is divided by 6.
5
Let i(v) = 2*v**3 - 3*v**2 + 1. Let p be i(2). Suppose 5*m = b + 59, 3*b + 68 = p*m + 1. Let t = m - 5. What is the remainder when t is divided by 2?
0
Suppose -3*g + 4*o = g - 68, 2*o - 51 = -3*g. Calculate the remainder when 48 is divided by g.
14
Let j(f) = f**2 + 12*f + 19. What is the remainder when j(-19) is divided by 39?
35
Let q(s) = -2*s + 42. What is the remainder when 13 is divided by q(19)?
1
Let c = 1 - -1. Suppose -2*u + y = 3*u, -3*u - 3*y = -18. Calculate the remainder when c is divided by u.
0
What is the remainder when (176/6)/4*(5 - 2) is divided by 7?
1
Suppose -k + 31 = -49. What is the remainder when k is divided by 12?
8
Let w(m) = 12*m**2 - 8*m + 6. What is the remainder when w(2) is divided by 10?
8
Suppose -15 = 4*l - 63. What is the remainder when 46 is divided by l?
10
Let t(q) = -q**3 - 12*q**2 - 12*q - 1. What is the remainder when t(-11) is divided by 3?
1
What is the remainder when 6 is divided by ((-2)/(-3))/((-5)/(-15))?
0
Let v = -12 - -15. What is the remainder when 11 is divided by v?
2
Suppose 0 = 2*v - 6*v. Let q(u) = u + 40. Calculate the remainder when q(v) is divided by 14.
12
Let r = 122 + -51. What is the remainder when r is divided by 18?
17
Suppose 54 - 14 = 5*h. Calculate the remainder when 71 is divided by h.
7
Let a = -7 + 4. Let l = -1 - a. Calculate the remainder when 25 is divided by l/(-1)*26/(-4).
12
Let d = 37 - 21. Calculate the remainder when 44 is divided by d.
12
Let a(w) = 17*w**2 - 5*w. Let m be a(2). Suppose 8 = -5*h + m. Calculate the remainder when 48 is divided by h.
8
Suppose -2*p - 2*p = -16. Suppose 67 = p*q + 19. Calculate the remainder when 35 is divided by q.
11
Let c(n) = n**2 + 4*n - 24. Calculate the remainder when 122 is divided by c(5).
17
Let l be (-4)/(-18) + 50/18. Suppose l*c = -c + 16. Suppose 5*k - 3*k - 10 = -c*t, -4*t + 7 = 5*k. Calc