 by c(1)?
15
Suppose 4*b - 3*m + 6 = -33, -5*m = -b - 31. Calculate the remainder when (18/(-4))/(b/60) is divided by 12.
9
Let z(v) = 2*v + 7. What is the remainder when z(15) is divided by 14?
9
Suppose -18*f + 23*f - 135 = 0. Calculate the remainder when f is divided by 6.
3
Let v = -12 + 17. Suppose 6*u - 28 = 3*u + q, 5*q + 60 = 5*u. Calculate the remainder when u is divided by v.
3
Suppose 12*u + 124 = 628. Calculate the remainder when 124 is divided by u.
40
Let k = -10 + 13. Calculate the remainder when 9 is divided by k.
0
Let x = -3 + 6. Suppose x*s + 3 = -p, -3*s + 0*s + 15 = 3*p. Suppose 32 = -0*v + 2*v. Calculate the remainder when v is divided by p.
7
Let n(a) = 25*a + 14. What is the remainder when n(5) is divided by 14?
13
Let f(n) = -3*n**2 + 3*n + 3. Let r be f(3). Let p = -6 - r. Calculate the remainder when p is divided by 5.
4
Let g = 5 - 1. Suppose 4*d + 16 = g*f, -5*f - d - d = 15. What is the remainder when 27 is divided by -2 - f*(15 - -1)?
13
Let x(h) = 5*h + 8. What is the remainder when x(5) is divided by 9?
6
Suppose -o - 2 = -2*o, s = -2*o + 29. Calculate the remainder when 72 is divided by s.
22
Suppose 35 + 41 = 4*n. Let t = 2 + 5. What is the remainder when n is divided by t?
5
Suppose 3*g = t - 0*t + 7, 5*t = 2*g + 17. Suppose 0 = -2*a + 12 - 8. Suppose b - a*f = 2*f + 11, 19 = 2*b - 5*f. What is the remainder when b is divided by g?
3
Let f(t) = t**3 - 9*t**2 + 5*t + 3. Let s be f(7). Let n = -36 - s. Calculate the remainder when 140/(-25)*((-38)/4 + -3) is divided by n.
22
Let f = -111 + 174. What is the remainder when f is divided by 16?
15
Let h(w) = -2*w - 3. Let y = 3 + 10. Let a(u) = u**3 - 14*u**2 + 13*u + 10. What is the remainder when a(y) is divided by h(-3)?
1
Suppose -7 - 25 = -2*o. What is the remainder when (-7 - -4) + (-96)/(-2) is divided by o?
13
Suppose v - 3*p + 0*p = 18, -2*v + 46 = -4*p. What is the remainder when v is divided by 12?
9
Let j(t) = -t**3 - 9*t**2 - 7*t + 7. Let i be j(-8). Suppose 0*l - 5*l - 5 = 0. What is the remainder when i + ((-105)/3)/l is divided by 12?
10
Suppose v = x + 28, 0*v - 2*v - 4*x = -44. Let c = 44 + v. Calculate the remainder when c is divided by 18.
16
Let d = 105 - 80. Calculate the remainder when d is divided by 7.
4
Suppose -6*a = -1136 - 1072. Suppose 0 = -4*g - 2*v + 250, -5*g + a = -2*v + 42. What is the remainder when g is divided by 11?
9
Let y = -4 + 6. Suppose -20 = -y*q - 2*q. Calculate the remainder when q is divided by (-36)/(-21) + (-2)/(-7).
1
Suppose 0 = -3*m + 4*x + 1574, x + 3*x + 20 = 0. Suppose -m = -6*y - y. Calculate the remainder when y is divided by 19.
17
Suppose -4 = -g - p, -p + 0*p - 8 = -2*g. Suppose 4*a = g*w - 60, 7*w - 64 = 3*w + 2*a. What is the remainder when 49 is divided by w?
15
Let r(t) = 2*t**3 + 2*t**2 + 2*t + 1. Let o be r(-1). Let v(a) = 6*a**2 + a. What is the remainder when v(o) is divided by -5 + 3 - -5*1?
2
Suppose -q + 25 = 7. Let n = q - 13. Suppose 4*o = n*o - 30. What is the remainder when o is divided by 11?
8
Suppose -3*k + 0*k = 54. Calculate the remainder when (-464)/k - (-10)/45 is divided by 14.
12
Let t(g) = 2*g**2 + 2*g - 4. Let j be t(-3). Let h = 25 - j. Calculate the remainder when 50 is divided by h.
16
Suppose 4 + 21 = -5*j. Let q = 41 + -22. Calculate the remainder when q is divided by j/(2*(-2)/8).
9
Let g(n) = n + 5. Let c be g(-5). Suppose 3*s + 5*i = 46, c*s + 3*i = 3*s - 6. What is the remainder when 18 is divided by s?
4
Suppose 5*a + 2*b = b + 34, -2*a - 4 = -4*b. Suppose -5*r = -25, -t + 19 = t + 3*r. What is the remainder when t + -1 + a + 1 is divided by 3?
2
Let r(v) = v**3 + 10*v**2 - 5*v + 7. What is the remainder when r(-10) is divided by (-30)/(-2) + (0 - 3)?
9
Suppose -3*m + m = -26. Let g(i) = 9*i**2 - 2*i - 2. Let a be 1/3 + (-7)/3. Calculate the remainder when g(a) is divided by m.
12
Let a be ((-42)/(-4) - -1)*2. Suppose 37 = 4*t - a. Let r = -52 + 96. Calculate the remainder when r is divided by t.
14
Let u(i) = i**2 - 2*i - 5. Suppose 4*k - 8 = -2*q, -7 = 3*q + 5. Let v = 30 - 26. Calculate the remainder when v is divided by u(k).
1
Let i be 70/(-4) - (-2)/4. Let f = 25 + i. What is the remainder when 21 is divided by f?
5
Suppose -5*g + 11 = -2*w + w, 0 = -w - g + 1. Calculate the remainder when 423/12 - w/(-4) is divided by 12.
11
Let s = -44 - -55. Calculate the remainder when s is divided by 8.
3
Let s(b) be the third derivative of -b**4/24 + 3*b**3/2 - 2*b**2. What is the remainder when 4 is divided by s(6)?
1
Let w = -17 + 20. Calculate the remainder when 5 is divided by w.
2
Suppose 0 = -5*o - 0*o + 25. Let u(g) = -g + 10. Let m be u(6). Suppose -65 = -9*t + m*t. What is the remainder when t is divided by o?
3
Let w(p) = -p - 1. Let n(d) = -2*d + 7. Let h be n(6). Let g be w(h). What is the remainder when 3/6*g*1 is divided by 1?
0
Let t(r) = 3*r**2 - r + 3. What is the remainder when (-199)/(-4) - (-1)/4 is divided by t(-2)?
16
Let p(x) = -x**3 + 2*x**2 + x + 3. What is the remainder when 20 is divided by p(-2)?
3
Calculate the remainder when -1*2*(-13 - 90) is divided by 35.
31
Let v(o) = 53*o - 2. Calculate the remainder when v(2) is divided by 12.
8
Let i(x) = 2*x + 6. Let a(t) be the second derivative of -t**5/20 - t**4/4 + t**3/3 - t**2/2 + 2*t. What is the remainder when i(7) is divided by a(-4)?
6
Let a(x) = -x**3 + 7*x**2 - 4. Calculate the remainder when a(6) is divided by 17.
15
Let n be 124/(-7) - (-8)/(-28). Let o = n - -30. Calculate the remainder when 23 is divided by o.
11
Let i(u) = -u + 4. Let w = 13 + -7. Suppose -w*s + s + 15 = 0. Calculate the remainder when i(-4) is divided by s.
2
Let p(k) = k**2 + 2*k + 1. Let z be p(-1). Suppose z = -5*r + 3*s + 152, 0*r - 2*r + 5*s = -57. What is the remainder when r is divided by 8?
7
Let f = -5 + 8. Let g be (175/14)/((-1)/(-2)). Suppose f*w - w - 75 = -3*r, -2*w - g = -r. What is the remainder when r is divided by 9?
7
Let d(k) = k - 2. Let j(q) = 6*q - 19. Calculate the remainder when d(9) is divided by j(4).
2
Let u(x) = -x**2 - x + 2. Let f = -8 - -11. Let t = 5 - f. Calculate the remainder when t is divided by u(0).
0
Let x(u) = -u**3 - 12*u**2 - 11*u + 5. Let k be x(-11). Suppose -5*r = -k*i - 60, -9 = -r + 3*i + 7. What is the remainder when 27 is divided by r?
7
Let v(g) = -2*g - 11. What is the remainder when 65 is divided by v(-14)?
14
Let c(y) = 8*y**2 - 2*y + 3. Let h be c(2). Let m = h + -16. What is the remainder when 42 is divided by m?
12
Let y be 0/(1 + 1 + 0). Suppose 5*l - l - 12 = y. Suppose 140 = 5*o + c, l*c - 120 = -5*o + 6*c. What is the remainder when o is divided by 14?
13
Suppose 107 = 5*q + z, 0*z = -5*z - 15. Calculate the remainder when q is divided by 12.
10
Let f = 9 + -7. Suppose 0 = q - 6*w + f*w + 4, 0 = 2*w - 10. Calculate the remainder when 61 is divided by q.
13
Let c be 1210/30 + 1/(-3). Suppose -q = 3*q - c. Calculate the remainder when 37 is divided by q.
7
What is the remainder when (-1 + -29)*-1 + 3 is divided by 17?
16
Let b = -16 + 8. Let l(k) = -2*k - 10. Calculate the remainder when 11 is divided by l(b).
5
Calculate the remainder when 4/(15/(-10) - -2) is divided by 3.
2
Suppose 25 = -v + 6*v. Suppose -69 = -v*o + 196. Calculate the remainder when o is divided by 1*-2 - (-2 - 18).
17
Let o(w) = w**2 - 14*w - 13. What is the remainder when 73 is divided by o(16)?
16
Let y = 24 - 14. Suppose u - 5 = y. Calculate the remainder when 44 is divided by u.
14
Suppose -2*a + 2*r + 19 = -5, -60 = -5*a + r. What is the remainder when 47 is divided by a?
11
Let r = -3 + 6. Let s be (10/8)/(2/104). Suppose 8*k - r*k = s. Calculate the remainder when 25 is divided by k.
12
Let t = 25 + 8. Let o = t - 8. Calculate the remainder when o is divided by 13.
12
Suppose -5*q + 27 = t, -6 + 2 = -2*t. Calculate the remainder when 7 is divided by q.
2
Calculate the remainder when 85 is divided by (-2)/9 - 1600/(-72).
19
Let v(o) = o**2 + 6*o + 1. Let l be v(-6). Suppose t = -2*r + 32, -2*t + 5*r + 94 = 3*r. Calculate the remainder when t is divided by (-5)/((-3)/(10 - l)).
12
Suppose -16*j - 10 = -21*j. Let p be 4/(-6) + (-8)/6. Let r = 1 - p. Calculate the remainder when r is divided by j.
1
Suppose 0 = -o - 7*o + 40. Calculate the remainder when 17 is divided by o.
2
Let t