
Let r(u) = -2*u**3 - 5*u**2 - 7*u - 5. Suppose 4*g - 7 = 3*g. What is the remainder when r(-3) is divided by g?
4
Suppose 0 = -4*h - 2*t + 14 + 6, -7 = -h - t. Calculate the remainder when 10 is divided by h.
1
Let k(o) = -o**3 + 5*o**2 - 2*o + 4. Suppose 0 = -5*z - 3*v + 29, 0 = -0*z + 3*z + 3*v - 21. What is the remainder when 22 is divided by k(z)?
10
Suppose -85 = -5*f - 15. Calculate the remainder when f is divided by 4.
2
Suppose 4*c - 66 - 58 = 0. Suppose 3*m + 5 + 22 = 0. Let j(h) = h**3 + 10*h**2 + 6*h - 11. What is the remainder when c is divided by j(m)?
15
Suppose -7 + 2 = -p. Let x = p - -9. Let i(j) = -41*j**3 + j**2 + j. What is the remainder when i(-1) is divided by x?
13
Let k(j) = -19*j**2 - j. Let f be k(-1). Let a = -10 - f. Calculate the remainder when a is divided by 5.
3
Suppose -a = 2*a. Suppose 2*z = -a*z + 10. Calculate the remainder when 9 is divided by z.
4
Let w = -102 - -137. What is the remainder when w is divided by 12?
11
Let g be ((-6)/(-4))/((-1)/(-14)). Let r = g + -12. What is the remainder when 10 is divided by (-3)/r - (-26)/6?
2
Let f(o) = -o**3 - o**2 - o + 9. Suppose 3*l = 10 - 4. Suppose l*q - 16 = q. What is the remainder when q is divided by f(0)?
7
Suppose b + 4 = 4*x - 0, -3*x + 2 = -b. Suppose 78 = x*s + 8. What is the remainder when s is divided by 9?
8
Let a = -3 + 4. Suppose a = -u + 2. What is the remainder when u + -2 + 7*4 is divided by 14?
13
Let f = -29 - -45. What is the remainder when 62 is divided by f?
14
Let s(b) = -b + 8. Let a(i) = -i**2 + 5*i - 4. Let v be a(4). Suppose 0 = -n - v*n + 1. What is the remainder when s(6) is divided by n?
0
Suppose -6 - 18 = 3*i. Let c = 22 - i. What is the remainder when 5 is divided by 4/(-14) + c/7?
1
Let a be 3 - (-1 - 118) - 0. Suppose -2*b = -0*b - 3*g - a, 2*g = -3*b + 170. Calculate the remainder when b is divided by 20.
18
Let r(l) be the third derivative of l**5/30 + 7*l**4/24 + 2*l**3/3 - l**2. Calculate the remainder when r(-6) is divided by 18.
16
Let k = -25 - -45. What is the remainder when 76 is divided by k?
16
Suppose -3*t + 64 = 4*y - 25, -5*t = 2*y - 27. Calculate the remainder when 126 is divided by y.
22
What is the remainder when 0 - (-11 + -1 + -1) is divided by 8 + 8/32 + 10/(-8)?
6
Let v(f) = 8*f**2 - 3*f**3 - 2*f**2 + 4*f**3 - 9*f + 3. What is the remainder when 49 is divided by v(-7)?
15
Suppose g - 3*z - 40 = 0, g - 4*z = -g + 72. Calculate the remainder when g is divided by 10.
8
Suppose -l + 7 + 31 = h, h + 3*l - 44 = 0. Calculate the remainder when h is divided by (-32)/(-3) - 4/6.
5
Suppose -4*r = r - 15. What is the remainder when 5 is divided by r?
2
Suppose 4*r + 0*r - 16 = 0. Suppose -r*i = i - 10. Let l(y) = -y**3 + 2. Calculate the remainder when i is divided by l(0).
0
Let d(a) = -a**2 + a + 70. Let f be d(0). Let m be (-280)/6*(2 + -5). Suppose 3*u = 5*t - m, -2*t + f = t + u. What is the remainder when t is divided by 13?
12
Suppose 2 = 3*u + 26. Let n = -2 - u. What is the remainder when 11 is divided by n?
5
Let t = -3 + 17. Calculate the remainder when (1/1)/((-1)/(-26)) is divided by t.
12
Let l(f) = -f**3 + 7*f**2 - 7*f + 1. Let g be l(6). Suppose -a + 5 + 8 = 0. Let j = a + g. Calculate the remainder when j is divided by 5.
3
Calculate the remainder when 5*(168/20 - 4) is divided by 13.
9
Let s = -37 + 83. Calculate the remainder when 90 is divided by s.
44
Let c(l) = -l**3 + 10*l**2 + 14*l - 19. Suppose -4*n + 14 = -146. Calculate the remainder when n is divided by c(11).
12
Let l = 832 - 585. Suppose -i + l = 4*k, -5*i + 59 = k - 2*i. Calculate the remainder when k is divided by 16.
14
Suppose -4*w + 7 + 133 = 0. What is the remainder when 69 is divided by w?
34
Suppose -7*h + 3*h - 11 = -m, -m - 7 = 5*h. Calculate the remainder when (-6 + 5)/(3/(-30)) is divided by m.
1
Let n(t) = t**3 - 4*t**2 + 2*t. Let i be n(3). What is the remainder when 12/(-2)*(18/(-4))/9 is divided by i - -3 - (-2 + 1)?
0
Let q(z) = -z + 3. Let v be (-3)/(-1)*(1 + -2). Suppose 64 = 4*o - 4*g, -3*o - g = -8*o + 84. What is the remainder when o is divided by q(v)?
5
Suppose v - 54 = 2*p - 0*v, -135 = 5*p + 5*v. Let u be (-4)/22 + 3114/66. Let d = u + p. Calculate the remainder when d is divided by 11.
9
Let m(g) = 2 - 4*g + 2*g - 5 - 3 + 2*g**2. What is the remainder when m(5) is divided by 12?
10
Suppose -5*t + 25 + 42 = -4*j, -2*j - 71 = -5*t. Let p = 312 - 136. Suppose -3*m + 4*z = m - p, z - 132 = -3*m. What is the remainder when m is divided by t?
14
Suppose -2*a = -2*v, 2*v = -a - 2*a. Let q = a + 14. Calculate the remainder when q is divided by 5.
4
Let f(c) = c**2 + 36. Let s(o) = -42*o. Let v be s(1). Let z = -23 - v. Calculate the remainder when f(0) is divided by z.
17
Suppose 4*j - 2*s - 36 = 0, -6*s = 3*j - 3*s - 27. Calculate the remainder when 60 is divided by j.
6
Let z = -45 - -71. Let s = -15 + 29. Calculate the remainder when z is divided by s.
12
Let g(i) = -i**2 + 5*i + 1. Let v be g(3). Suppose -v = 5*n - 22. Let k(d) = -d - 3. What is the remainder when k(-10) is divided by n?
1
Suppose j = -0*j + 2. Suppose -5*s = -j*s + 9. Let w = 9 + s. Calculate the remainder when 17 is divided by w.
5
Let h be -18 + 17 - (1 - 6). Suppose -2*u + u - 4*i = -18, -3*i + 46 = h*u. What is the remainder when u is divided by 6?
4
Let y = 4 + -6. Let w = -12 - -25. What is the remainder when 1*(36 + y/(-1)) is divided by w?
12
Let k(s) = s**3 + 7*s**2 - 7*s + 8. Let j be k(-8). Suppose 0*b + b - 23 = j. What is the remainder when 4/18 + (-9150)/(-135) is divided by b?
22
Let f(t) = -t**3 - 4*t**2 + 5*t - 7. Let d be f(-6). Suppose 0 = -2*a - 3*a + d. What is the remainder when a is divided by 4?
3
Let q = 7 + 6. Let c(d) = d**2 - 14*d + 19. What is the remainder when c(q) is divided by 4?
2
Suppose -2*i = -0*w + 2*w - 16, w = i - 16. Let t(y) = -y + 10. What is the remainder when i - (0 - (-1)/1) is divided by t(6)?
3
Let v(y) = y**2 + 1. What is the remainder when 102 is divided by v(-5)?
24
Let p = 248 - 73. What is the remainder when p is divided by 44?
43
Let p(g) = -g**3 - 14*g**2 - 14*g. Calculate the remainder when 35 is divided by p(-13).
9
What is the remainder when (107/(-2) + -2)*10/(-15) is divided by 8?
5
Let p(i) = -2*i + 2. Let y be p(5). Let j = y - -18. What is the remainder when j is divided by 4?
2
Let j(o) = -13*o**3 - 2*o**2 + 1. Calculate the remainder when 59 is divided by j(-1).
11
Let f be (30/(-9))/(4/(-6)). Suppose 0 = -i + f*h + 41, 3*i - 2*h = -4*h + 38. What is the remainder when i is divided by 6?
4
Suppose 0 = -0*w - 2*w + 140. Suppose 3*l - 31 - 23 = 0. Calculate the remainder when w is divided by l.
16
What is the remainder when (-174)/(-3) - (8 - 5) is divided by 28?
27
Let l be 1/(-2) + 1/(-2). Let y be (2*l)/((-10)/5). What is the remainder when 12 is divided by 2 + (3 - (-1 - y))?
5
Let k(y) = -3*y - 1. Let q be k(-2). Suppose 0 = q*o - 7 - 258. Calculate the remainder when o is divided by 14.
11
What is the remainder when 21 is divided by 1/((1/8)/1)?
5
Let z(b) = -21*b + 10. Let c(m) = -3*m + 2. Let t be c(-7). Suppose 3*g = 2*k - t, 5*g - 7 = k - 1. Calculate the remainder when z(-3) is divided by k.
16
Let c(n) = -19*n**2 + 2*n + 15. Let r(y) = 9*y**2 - y - 7. Let h(s) = 4*c(s) + 9*r(s). Let l = -3 + 6. Calculate the remainder when h(l) is divided by 20.
19
Let h(j) = -3*j - 6. Let w be h(-3). Suppose 2*l - w = 73. Let r(m) = -3*m - 2. What is the remainder when l is divided by r(-5)?
12
Let j(i) = i**3 + 6*i**2 + i - 3. Let m be j(-4). Let o be m/(-10)*(-4)/5. Suppose 4*d = 22 + o. What is the remainder when 17 is divided by d?
5
Let o = -32 + 81. Calculate the remainder when o is divided by 17.
15
Let x(i) = -19*i**2 + i + 8. Let v(m) = -20*m**2 + m + 7. Let j(t) = -7*v(t) + 6*x(t). Calculate the remainder when j(-1) is divided by 7.
5
Suppose s + 0 + 3 = z, 2*s - 2 = 0. Let g = -39 + 42. What is the remainder when z is divided by g?
1
Suppose -x + 5588 = 3*x. What is the remainder when 3/5 + x/55 is divided by 9?
8
Suppose -121 + 35 = -2*b. What is the remainder when b is divided by 9?
7
Let v(t) = t**2 + t + 1. Let w be v(-2). Suppose 112 = 5*j + 3*b, -w*b + 7*b + 50 = 2*j. Suppose 2*c - 38 = 96. Calculate the remainder when c is divided by j.
21
Let a be 0 - 5 - 1/1. Let n