9*a**3 - 1. Let f be g(1). Calculate the remainder when (-24)/(-1) + f/(-9) is divided by 8.
6
Let y = -67 - -136. Suppose -3*g = y - 9. Calculate the remainder when (-1)/(-2)*4 - g is divided by 8.
6
Let u(d) = 4*d**2 - 4*d + 6. Let b be u(4). Let i = -21 + b. Suppose 3*h = w - h - 2, -5*w - 3*h + i = 0. What is the remainder when 10 is divided by w?
4
Suppose 921 = 12*f - 9*f. Suppose a - 3*a - 2*h + 146 = 0, -4*a = -h - f. Calculate the remainder when a is divided by 20.
16
Suppose -20 = 3*a - 44. Calculate the remainder when 30 is divided by a.
6
Suppose 0 = 3*x - 4*t + 5*t + 15, -5*x - t = 27. Calculate the remainder when 51 is divided by -2*(-3 - (-21)/x).
12
Let c(m) = 12*m - 3. What is the remainder when c(1) is divided by 2?
1
Suppose 4 = z + 3*z. What is the remainder when ((-13)/(-2))/(z/2) is divided by 4?
1
Let o(n) = -n - 3. Let b be o(-6). Let k = 69 - 67. Suppose 2*y - y + 5*x = -12, -3*y = k*x - b. What is the remainder when y is divided by 2?
1
Let f = 9 - 5. Suppose -f*m = -b + 27, -m + 15 = 2*b + 4*m. Suppose -3 = -j + 4*r + 11, 0 = 2*j + 5*r - b. Calculate the remainder when 38 is divided by j.
8
Let i = 0 + 7. Calculate the remainder when 33 is divided by i.
5
Suppose i = -3*b + 31, 0*b = 4*b - 4*i - 52. What is the remainder when 20 is divided by b?
9
What is the remainder when 84 is divided by (5/((-90)/(-66)))/((-1)/(-6))?
18
Let i = -13 - -91. Calculate the remainder when i is divided by 20.
18
Suppose -2*t + 19 = 7. Suppose 3*c + 7 = 4*b + 32, -b + t = c. Calculate the remainder when 13 is divided by c.
6
Let y(x) = 94*x**3 - 2*x + 1. Let i be y(1). Let c = i - 44. What is the remainder when c is divided by 17?
15
Let w = -70 + 116. Calculate the remainder when w is divided by 16.
14
Let d(i) = i**2 - 5*i + 5. Let p be d(5). Suppose -2 = -3*m - 4*q + 18, 0 = -4*m - q + p. Calculate the remainder when 5 is divided by (1 + 0)*(2 - m).
1
Suppose 27*c + 20 = 32*c. What is the remainder when 7 is divided by c?
3
Calculate the remainder when ((-76)/(-8))/(2/4) is divided by ((-51)/(-15) - 2)*5.
5
Suppose 25*w - 28*w = -78. What is the remainder when 51 is divided by w?
25
Suppose -2*b + 153 = 7*b. Calculate the remainder when 32 is divided by b.
15
Suppose 4*z = 68 - 0. Let s(c) = c**3 + 8*c**2 + 7*c + 2. What is the remainder when s(-6) is divided by z?
15
What is the remainder when (11 - -6)*(-2)/(-1) is divided by 20?
14
Let b(x) be the second derivative of 2*x**3 - 3*x**2 + 3*x. Calculate the remainder when b(4) is divided by 15.
12
Let b be (-8)/20 + 27/5. What is the remainder when 2 - (-3 + b - 11) is divided by 3?
2
Let c be 2/7 + (-158)/14. Let l be 6/(-12) - c/2. Suppose -l*d + 13 - 3 = 0. What is the remainder when 5 is divided by d?
1
Let k = 46 - 37. What is the remainder when k is divided by 6?
3
Calculate the remainder when (-223)/(-2) + -1 - (-7)/(-14) is divided by 23.
18
Let p(f) = -87*f - 3. Let s be p(-4). Suppose 5*r - s = w, -5*r - 3*w + 138 = -3*r. Suppose 16 = 5*j - r. What is the remainder when 33 is divided by j?
16
Suppose 24 = 3*z - 3. Suppose -6 = -0*o - o - 4*m, -z = -2*o - 5*m. Suppose -4*v - 14 - 4 = -o*s, -v = -3. Calculate the remainder when s is divided by 8.
7
What is the remainder when 0 - (-2 + 6) - -29 is divided by 14?
11
Suppose -5*w + 19 = 3*i - 15, -3*i + 16 = -4*w. Let a(t) = t**3 + t + 23. What is the remainder when a(0) is divided by i?
7
Suppose 3*j - 1998 = -528. Suppose -j = -b - 4*b. What is the remainder when b is divided by 25?
23
Let l(o) = o**3 - o**2 - 5*o + 3. Let y be l(3). Let q = -3 + y. Let w(b) = b**3 - 2*b**2 + 2*b + 1. Calculate the remainder when w(q) is divided by 6.
4
Let l(y) = -y**2 - 9*y - 4. Let c(n) = n - 8. Let b = -2 - -2. Let t be c(b). What is the remainder when l(t) is divided by 3?
1
Let z = 18 + -10. What is the remainder when z is divided by 5?
3
Let q(c) = -c**2 + 7*c + 3. Let j be q(7). Suppose -j*o = -2 - 4. Let s(x) = -x - 1. Calculate the remainder when o is divided by s(-3).
0
Let s(h) = -h**3 + 5*h**2 + 8*h - 9. Let f be s(6). Suppose -3*l = -q - 43, f*l = -0*l + 5*q + 47. What is the remainder when l is divided by 5?
4
Let q(s) = 8*s - 9. Let p(z) = -2*z + 2. Let d(x) = -9*p(x) - 2*q(x). What is the remainder when 38 is divided by d(7)?
10
Let f = 1 - -8. What is the remainder when 15 is divided by f?
6
Suppose 346 = 5*q - 454. Suppose 0 = -0*o - 4*o + q. Calculate the remainder when o is divided by 21.
19
Suppose 10*a - 31*a + 609 = 0. Calculate the remainder when a is divided by 27/3 - 2/2.
5
Let a be (-1)/(1/(-1))*47. Let f = a + -23. Calculate the remainder when f is divided by 13.
11
Suppose -2*h + 7*h - 380 = 3*r, 152 = 2*h + 5*r. Calculate the remainder when h is divided by 40.
36
Suppose 6*y - 19 = y - u, y = -2*u + 2. Let c = 6 + 5. Suppose -5*k + 5*m + 10 = 0, -m - c = -3*k - 3*m. Calculate the remainder when y is divided by k.
1
Let w = -12 + 21. Let h be (-2)/6 - ((-30)/(-18) + 5). Let g = h + w. Calculate the remainder when 2 is divided by g.
0
What is the remainder when 58 is divided by (-8 - -5)*-5*1?
13
Let d(y) = -y + 3. Calculate the remainder when 30 is divided by d(-6).
3
Let y = 3 - 3. What is the remainder when 15 is divided by -2 - y - 10/(-1)?
7
Suppose 6*h - 2*h = 24. Let x = h + -3. Suppose 8*i - x*i = -4*j + 41, -4*i + 58 = 5*j. Calculate the remainder when j is divided by 5.
4
Let y be 7/21 - 5/(-3). Suppose 4*c + 40 = 4*f, -y*c + 6*c + 15 = -f. Calculate the remainder when 14 is divided by f.
4
Let m be -2 - (36/3)/(-2). Let a = 8 - m. What is the remainder when 13 is divided by a?
1
Suppose -4*f + 7*f + 42 = 0. Let c = f - -33. What is the remainder when 56 is divided by c?
18
Suppose -10 = -5*p, 5*f + p = -3*p + 83. What is the remainder when 103 is divided by f?
13
Let q(r) = -r**2 + 15*r + 22. Let c be q(16). Let o = c - 3. Calculate the remainder when 9 is divided by o.
0
Calculate the remainder when 63 is divided by (-233)/(-7) + (-10)/(-35)*-1.
30
Suppose -5*k + 4*o + 216 = 0, 2*o - 36 - 116 = -4*k. Calculate the remainder when k is divided by 23.
17
Suppose -11*w + 31 = -35. Let v(d) = 22*d**2 + d + 1. What is the remainder when v(-1) is divided by w?
4
Suppose 0 = 3*m + 3*l + l - 127, -115 = -3*m - l. Calculate the remainder when m is divided by 15.
7
Let x be (6 - -1) + (3 - 0). Suppose 0 = -f + 5*f - 20. What is the remainder when 11 is divided by ((-6)/f)/((-2)/x)?
5
Let o(p) = -5*p - 52. What is the remainder when o(-11) is divided by 2?
1
Let j(l) = -33*l. Calculate the remainder when 163 is divided by j(-1).
31
Suppose -4*z - 182 = -3*m, 5*m + z - 125 = 3*m. Calculate the remainder when m is divided by 17.
11
Suppose 0 = u - 5*u + 132. What is the remainder when 63 is divided by u?
30
Let j = -45 + 65. Let n = 65 - j. What is the remainder when n is divided by 12?
9
Suppose 5*r - 12 = v, -4*r + 1 + 11 = 0. Suppose v*u = u + 34. Calculate the remainder when u is divided by 6.
5
Suppose 4*d + 3*q + 2*q - 44 = 0, 3*q = 2*d. Let b = -1 + d. Suppose -2*a + 4*h = -18, 2*a - h = b*a + 1. What is the remainder when a is divided by 1?
0
Suppose 316 = 9*t - 5*t. Suppose -5*y + 3*y + 42 = 0. What is the remainder when t is divided by y?
16
Suppose 58 = -2*t - 4*f, -f + 167 = -7*t + 2*t. Let k = -18 - t. What is the remainder when 27 is divided by k?
12
Let f(u) = -u**3 - 7*u**2 + 6*u. Suppose 248 = -2*q + 6*q. Calculate the remainder when q is divided by f(-8).
14
Let z = -37 + 81. What is the remainder when z is divided by 12?
8
Suppose 3*j = 9, -j + 6*j = -3*s + 33. Let h be (9/s + -1)*8. Suppose 9 = -3*b + 3, 38 = 5*a - h*b. What is the remainder when 17 is divided by a?
5
Let p(i) = 2*i**3 - 5*i**2 + 3*i - 2. Let h = 502 - 457. What is the remainder when h is divided by p(3)?
13
Let x(c) = -c**2 - 7*c + 1. Suppose 5*r = -4*u - 44, -2*u + 7*r = 3*r - 4. Let a be x(u). Let l = a + 28. Calculate the remainder when l is divided by 12.
11
Let u be 1018/4 - 27/18. What is the remainder when (-7)/28 + u/4 is divided by 22?
19
Let a be 1 - ((-2)/(-1) - 1). Suppose a*z = z - 3. Let k = -11 - -19. What is the remainder when k is divided by z?
2
Let s(q) = -q**2 + 65. Let x be s(0). Suppose -6*z + z = -x. Calculate the remainder when 36 is divided by z.
10
Let s = -19 - -34. Let x = s + -7. What is the rema