11
Let u = 24 + -3. What is the remainder when u is divided by 11?
10
Suppose 18 = 5*j - 2*i, 5*i + 8 = -12. Calculate the remainder when j is divided by (-6)/(-4) + (-1)/2.
0
Let s = 7 + -10. Let h = -2 - s. Suppose -4*a = f - 8*a - 14, 5*f + 2*a = 4. What is the remainder when f is divided by h?
0
Let p = 18 + -13. Suppose 0 = p*q - q - 48. What is the remainder when 33 is divided by q?
9
Let q(b) = b**2 + 2*b - 7. Calculate the remainder when q(4) is divided by 9.
8
Let q be 1 + -1 + 14/1. Suppose q = 5*k + w, k = -k - w + 5. Suppose 0 = 5*r - 2*r - k*d - 18, -3*r = 3*d - 6. What is the remainder when 6 is divided by r?
2
Suppose -p = -1, 6*w + 3*p = 2*w + 15. Suppose w*h + h + 44 = 0. Let b = h + 33. Calculate the remainder when b is divided by 8.
6
Let t(n) = n**2 + 5*n - 7. Let w = 13 - 19. Let y be t(w). What is the remainder when (14/(-6))/(y/9) is divided by 11?
10
Suppose 0*t - 3*j + 291 = 3*t, -2*j = 8. Calculate the remainder when t is divided by 17.
16
Suppose -7*f + 235 = -2*f. Suppose -3*o + 2*o = -5*i - f, 4*i = 3*o - 141. What is the remainder when o is divided by 16?
15
Let i = 3 - 6. Let k = i - -20. Calculate the remainder when k is divided by 9.
8
Let d(q) = 4*q - 8. Suppose 3*k = l - 41, 0 = l + 4*k - 16 + 3. Calculate the remainder when l is divided by d(6).
13
Suppose -j = -4*j + 24. What is the remainder when 3 is divided by (-4)/6*(5 - j)?
1
Let q(f) = 14*f**2 - f. Calculate the remainder when 57 is divided by q(-1).
12
Suppose -b + 0*b = -1. Let a be 2 - (b + (-16 - -1)). Calculate the remainder when 43 is divided by a - (-1 + -1)/(-2).
13
Let x(c) = c**3 + 7*c**2 - c + 3. Calculate the remainder when x(-5) is divided by 12.
10
Let i(z) = 6*z + 28. Calculate the remainder when 7 is divided by i(-4).
3
Let n(a) = 7*a**3 - 4*a**2 - 4*a + 1. Let x be n(-3). What is the remainder when 21 is divided by x/(-18) + 4/18?
9
Let l be (-3 + (-17)/(-4))*4. What is the remainder when 24 is divided by 1*-1 + 5 + l?
6
Suppose n = 6*n + 230. Let p = 20 - 12. Calculate the remainder when (n/(-8))/(3/12) is divided by p.
7
Suppose -5*b = -a - 47, a + 4*a - 3*b = -147. Calculate the remainder when 2/(-3) + (-612)/a is divided by 12.
10
Let g(j) = 1 - 5 - 3*j - 2*j - 3*j**2 - j**3. Suppose 4*y = 72 + 12. Calculate the remainder when y is divided by g(-3).
10
Let y = -12 - -44. Suppose i - 29 = 5*k, -k + 4*k = -5*i + 145. Let u = 40 - i. What is the remainder when y is divided by u?
10
Suppose -2*a + 34 = -c, 0 = 3*a - 4*c - 11 - 30. What is the remainder when 54 is divided by a?
16
What is the remainder when 35 is divided by (2 - -74)*2/8?
16
Suppose -5*c + 4*z = -54, -2*c - z = 2*c - 39. Suppose p - 3*o = -2*o + 5, -4*p = 3*o - 34. What is the remainder when c is divided by p?
3
Let o(a) be the third derivative of 1/6*a**4 + 0*a**3 + 2/15*a**5 + 0 + a**2 - 1/120*a**6 + 0*a. What is the remainder when o(8) is divided by 11?
10
Let y be (20/(-12))/(-3*1/(-9)). Let d = 10 + 7. Let t = y + d. What is the remainder when 45 is divided by t?
9
Suppose r + 4*l - 85 = 0, -r + 2*l = -3*l - 49. Suppose 0 = 2*i + i - r. Calculate the remainder when i is divided by 3 + (-12*3)/(-4).
11
Suppose -o + 3*p = 13, -p + 15 = 2*o + 3*o. What is the remainder when 25 is divided by 13 - (6 - (0 + o))?
7
Let k = -49 + 80. Calculate the remainder when 49 is divided by k.
18
Let p be 8/(-3)*9/(-12). Suppose 5*i = 5*f + 120, 0 = i + p*i + 2*f - 62. Calculate the remainder when 63 is divided by i.
19
Let m(n) = 3*n**2 + 2*n + 1. Calculate the remainder when 10/(-2)*8/(-10) is divided by m(-1).
0
Suppose 0 = -2*k + 7*k - 30. Calculate the remainder when 69 is divided by k.
3
Suppose 26 = -3*q - 7. Let o = q - -17. Let h(n) = 3*n - 5. What is the remainder when h(o) is divided by 4?
1
Let q(n) = -n**2 - 15*n - 14. Let w be q(-11). Let r = w - 15. What is the remainder when 2/6 - (-170)/3 is divided by r?
12
Let b(a) = -18*a**3 - a**2 - 3*a - 1. What is the remainder when 73 is divided by b(-1)?
16
Let q = -19 + 34. What is the remainder when q is divided by 8?
7
Let z(o) = o - 21. Let q be z(0). Let f be 478/10 + 8/20*-2. Let l = f + q. Calculate the remainder when l is divided by 14.
12
What is the remainder when -3*(23/(-3) - (-7)/(-7)) is divided by 3?
2
Let q(t) = -t**3 + 8*t**2 + 6*t - 2. Calculate the remainder when q(8) is divided by 16.
14
Suppose 5*p - 23 = -2*z + 2*p, 0 = -3*z - 4*p + 33. Suppose -4*c = -z - 37. What is the remainder when 31 is divided by c?
9
Let w = 16 - 6. Suppose 0 = -2*g + 4*g - 8. Suppose 3*k - 137 + 53 = v, g*k = -3*v + 112. Calculate the remainder when k is divided by w.
8
Let v = 91 + -73. Calculate the remainder when 51 is divided by v.
15
Let m be 3/(9/(-21))*1. Let j be 2/m - 426/(-21). Let u = 6 + j. Calculate the remainder when u is divided by 9.
8
Suppose 45 + 75 = 2*f + 2*u, -4*f = 5*u - 241. Calculate the remainder when f is divided by ((-8)/3)/((-16)/120).
19
Suppose h - 230 = -4*h. What is the remainder when h is divided by (-24)/(2/((-8)/6))?
14
Suppose 7 + 3 = 2*k. Let w = k - 8. Let z = 5 + w. Calculate the remainder when z is divided by 2.
0
Suppose 4*t - 3*t = 2. Suppose 0 = 4*h + t*w - 62, 2*h - 34 = -2*w - 0*w. Calculate the remainder when h is divided by 5.
4
Suppose c = 3 - 0. Suppose 10 = x - 5*l, -c*x + 56 = 5*l - 74. Suppose 4*a = 13 + x. Calculate the remainder when 23 is divided by a.
11
Suppose j + 0*j - 42 = 0. Suppose u - 3*z - 11 = 26, 4*u + 2*z = 78. Calculate the remainder when j is divided by u.
20
Suppose 4*c = -c. Calculate the remainder when 10 - (c - -1 - 2) is divided by 4.
3
Suppose -3*t - 97 = -19. Calculate the remainder when -1 - (t - (1 + -3)) is divided by 8.
7
Let y(r) = r**2 + 0 + 16*r + 2 + 1 - 7*r. Calculate the remainder when y(-10) is divided by 7.
6
Suppose 0 = 4*s - 226 + 90. Suppose 4*w = 8 + 132. Let j = w - 17. What is the remainder when s is divided by j?
16
Suppose 2*m + 3*m - 10 = 0. Let n(s) = s**3 - 2*s**2 + 4*s - 3. What is the remainder when 9 is divided by n(m)?
4
Let q = 11 + -83. Let h = 105 + q. Let c(x) = -x**3 - x**2 + 3*x. Calculate the remainder when h is divided by c(-3).
6
Let j(k) = k**3 + 8*k**2 + 6. What is the remainder when j(-7) is divided by 16?
7
Let i(n) = -n**2 - 17*n + 19. What is the remainder when 35 is divided by i(-17)?
16
Let d = 3 - 2. Suppose -5*i + 30 = -5*u, -3*i - 3*u - 2 = 4. What is the remainder when i is divided by d?
0
Let g = 10 - 9. Suppose 0 = n - g - 3. Calculate the remainder when 7 is divided by n.
3
Suppose 0 = -19*w + 24*w - 35. Calculate the remainder when 23 is divided by w.
2
What is the remainder when 19 is divided by 1/(-2) + -1 - (-250)/20?
8
Suppose -3*u + 12 = 0, -3*d + 5*u - 4*u = -2. Calculate the remainder when 17 is divided by d.
1
Suppose -9*i + 132 + 75 = 0. What is the remainder when 41 is divided by i?
18
Suppose -u + 2*b + 76 = 0, 0 = -3*u - 0*u + 3*b + 231. Suppose -2*d - 3*l = -u, 0 = 4*l + 3 + 5. What is the remainder when d is divided by 15?
12
Let d(x) = -x**2 - x + 26. What is the remainder when 76 is divided by d(0)?
24
Let b(u) = 2*u**2 + 3*u + 6. Let v be b(-6). Suppose -16*m + 1280 = -12*m. Suppose -m + v = -5*j. Calculate the remainder when j is divided by 18.
16
Let p(c) = -c**3 + 5*c**2 + 7*c - 4. Let k be p(6). Suppose -2*n - k = 0, j - 2*j + 2*n + 6 = 0. What is the remainder when 10 is divided by j?
2
Let a be 16/(1/(-5)*-2). Let i = -5 + a. Let q = -18 + i. What is the remainder when q is divided by 9?
8
Let j(o) = -o**3 + 4*o**2 + 4*o + 2. Let z be j(4). Suppose -5*n + z = -4*n. Calculate the remainder when n is divided by 10.
8
Let s = -5 + 10. What is the remainder when 12 is divided by s?
2
Suppose 2*d + 7 = 3*d. Calculate the remainder when 13 is divided by d.
6
Let f = 76 - 45. Let c(k) = -5*k - 4. Let n be c(-4). Suppose -d - d = -n. What is the remainder when f is divided by d?
7
Let g be -2*1/(-2)*1. Let u be (-4 - g)*168/20. Calculate the remainder when 13 is divided by ((-6)/9)/(4/u).
6
Suppose 0 = 5*l - 4*l - 5. Suppose -l*w + 13 = -7. Suppose -4*y - y = -55. Calculate the remainder when y is divided by w.
3
Let f(s) = -93*s + 2. Calculate the remainder when f(-1) is divided by 24.
23
Let c = 14 + -9. Suppose h + 36 = c*h. Suppose 19 + 32 = 3*n. What is the remainder when n is 