 remainder when 24 is divided by q.
11
Let r be ((-6)/9)/(1/(-81)). Suppose 101 + r = 5*a. What is the remainder when a is divided by 17?
14
Let i = -13 - -33. Calculate the remainder when i is divided by 3.
2
Calculate the remainder when 1/((12/(-9))/(-4)) is divided by (-2)/((-4)/18*3).
0
Let h(f) = 3*f**2 - 2*f - 12. What is the remainder when 83 is divided by h(4)?
27
Let w = 2 - 5. Let g = w - -21. Calculate the remainder when 35 is divided by g.
17
Suppose -3*w + 33 + 30 = 0. Let a(b) = -61*b + 1. Calculate the remainder when a(-1) is divided by w.
20
Calculate the remainder when 237 is divided by 5 + -1 - 20*-1.
21
Suppose -4*d - 44 = -5*a - 0*a, 3*a + d - 40 = 0. Suppose 0 = 2*k - 6 - 4. Suppose -77 = -k*j + 33. What is the remainder when j is divided by a?
10
Suppose 4*f + 8 = 4*w + 3*f, -3 = 3*w - 3*f. Let b = -14 + 24. What is the remainder when (-1 - 1)/(w/(-42)) is divided by b?
8
Suppose 3*j - 165 = -3*w, -2*j = -4*w - 37 + 239. Suppose -4*v + w = 4*r, -r - 32 = -3*v + 7. What is the remainder when 38 is divided by v?
12
Let l(u) = -9*u - 9. Let i be l(-6). Suppose -t + 4*t - 5*v - i = 0, t + v = 23. Suppose -z + t = 4*z. Calculate the remainder when 11 is divided by z.
3
Suppose 22 = 5*h - 4*h. What is the remainder when h is divided by 8?
6
Suppose 0*x - 2*x + 268 = 0. Let r(z) = 2*z**2 - 4*z + 1. Calculate the remainder when (-1)/2 + x/4 is divided by r(4).
16
Let f = -28 + 63. Let b(o) = o**3 + 6*o**2 - o + 6. Calculate the remainder when f is divided by b(-6).
11
Suppose 3*z = 2*z + 5*s + 27, -5*z = -3*s - 91. Calculate the remainder when 82 is divided by z.
14
Let u(n) = 2*n + 7. Let w be u(14). Calculate the remainder when 6/14 + 2260/w is divided by 22.
21
Suppose -45 = 8*l - 11*l. What is the remainder when 43 is divided by l?
13
Let m be -3 - -2 - (-9)/3. Suppose 5*o - 2*a + 150 = 0, -148 = 4*o + 2*a + m*a. Let k = -2 - o. What is the remainder when k is divided by 16?
14
Suppose 4 = 4*v - 0. Calculate the remainder when 12/1 + (-10 - -12) is divided by 2/((-2)/(-8)*v).
6
Let m(z) be the third derivative of z**5/60 - 5*z**3/6 + 2*z**2. What is the remainder when 31 is divided by m(-4)?
9
Let l = -9 + 12. Suppose -2*m + 6*m = 20. What is the remainder when m is divided by l?
2
Let n(s) = -s**3 - 6*s**2 - 4*s - 9. Let z(b) = 45*b**2 - 3*b + 1. What is the remainder when z(1) is divided by n(-6)?
13
Let t(b) = -8*b**3 + 7*b**3 + 8*b**2 + b - 6 - 3*b. Calculate the remainder when t(7) is divided by 6.
5
Let a(f) = f**2 + 4*f - 1. Let b be a(-5). Suppose 4*t - g = 11, -b*g - 15 = -3. Calculate the remainder when 5 is divided by t.
1
Suppose -4*h + 9*h = -25, -2*l - 2*h = 20. What is the remainder when (-161)/(-5) - (-1)/l is divided by 11?
10
Let r(j) be the first derivative of -5*j**4/4 + j**3/3 + j**2/2 - j - 1. What is the remainder when r(-2) is divided by 14?
13
Let s be 97 - ((-3)/1 + 3). Suppose s = -3*u + 1. Let d = u - -51. Calculate the remainder when d is divided by 5.
4
Suppose -118 + 31 = -3*m. Suppose 0*c - c = -4. Suppose -2*l + 2 = q - 8, c*q + l - 40 = 0. What is the remainder when m is divided by q?
9
Let n(i) = i**3 + 8*i**2 - 4*i + 11. Let y = -14 + 6. Calculate the remainder when n(y) is divided by 15.
13
Let b(t) = t**2 + t - 16. Calculate the remainder when b(9) is divided by 15.
14
Let s(d) = -d + 11. What is the remainder when 34 is divided by s(6)?
4
Let x = 16 + -41. Let s = x + 56. Suppose -7 = -2*p + 5*t, 4*p + t = -p + s. What is the remainder when 10 is divided by p?
4
Calculate the remainder when 36 is divided by 8/(-16) + 54/4.
10
Let m = -50 + 87. Suppose j + 3*j = 16. Suppose -3 = -i - 4*o + 2, -j*i + 2*o = -56. What is the remainder when m is divided by i?
11
Let p(a) = a + 11. Let v be p(-9). Suppose 3*c = -v*c + 5. Let l(h) = -h**3 + 3*h**2 - h + 4. What is the remainder when c is divided by l(3)?
0
Let z(y) = -y**2 + 7*y + 1. What is the remainder when 30/75 - (-148)/5 is divided by z(5)?
8
Suppose -3*l + 12*l - 216 = 0. Suppose 6*h - 3*h = 2*v - 10, 10 = 2*v + 4*h. What is the remainder when l is divided by v?
4
Let i(c) = 3*c**2 - 3*c - 1. What is the remainder when 63 is divided by i(-1)?
3
Let u(g) = 2*g**2 + 2*g - 1. Let s be u(-2). Let d(q) = 2*q**3 - 3*q**2 - q + 2. Calculate the remainder when d(s) is divided by 7.
5
Suppose -3 = -4*k + 5. Suppose 0 = -0*l + 2*l - 6. Suppose l*r = r + 8. Calculate the remainder when r is divided by k.
0
Let v = 219 - 23. Calculate the remainder when v is divided by 22.
20
Let g = 2 - -7. What is the remainder when g is divided by 5?
4
Suppose 85 = 4*b + g - 2*g, 5*b + 4*g = 80. Calculate the remainder when 79 is divided by b.
19
Let b(n) = 0*n**2 + 4*n**2 - 3*n**2 + 11. Let k be 1 - 2 - (1 + -2). Calculate the remainder when b(k) is divided by 6.
5
What is the remainder when 54 is divided by -2 - -13 - 5/((-5)/3)?
12
Suppose -s - 2*g = -7 - 25, -3*s = g - 71. Let i(k) = 9*k**2 - k. Calculate the remainder when s is divided by i(1).
6
Suppose 0 = -r + 2*r + 3. What is the remainder when (2/r)/((-2)/138) is divided by 8/((-5)/(1 - 11))?
14
Suppose 0*d + 5*d = 0. Suppose 4*r + 0*r = 12. Suppose d = -r*p - 36 + 138. Calculate the remainder when p is divided by 9.
7
Suppose 301 = -0*b + 5*b + 3*j, 233 = 4*b + 5*j. What is the remainder when 245 is divided by b?
59
Suppose 4*m = -3*m + 98. What is the remainder when 27 is divided by m?
13
Let p(u) = 30*u**2 + 6*u - 6. What is the remainder when 118 is divided by p(1)?
28
Let k(o) = o**3 - 3*o**2 + 3*o. Let c be k(2). Suppose 4*u + 14 = 2*v, -c*v + v + 25 = 4*u. What is the remainder when 38 is divided by v?
12
Suppose -4*c + 8 = -4*a, 5*c + a + 11 = -a. Suppose -3*j = 11 - 32. Calculate the remainder when j is divided by (3*-1)/(c/1).
1
Suppose 16 - 8 = 4*s. Suppose 5*a = k - 61, -3*a - 5 = -s*a. Calculate the remainder when k is divided by 13.
10
Suppose -4 = b - 3*b. Suppose w - 1 = -2*q, b*w = -q - 2*w - 10. Let m = 5 + -2. Calculate the remainder when m is divided by q.
1
Suppose -4*l = 11*l - 1725. Calculate the remainder when l is divided by 39.
37
Let a(s) = 2*s**2 - s + 1. Let d be a(3). Suppose -2*p + d = -4*p - 5*q, -p - 10 = 3*q. Calculate the remainder when 5 is divided by p.
1
Suppose -3*r = -4*t + 266, 2*t - 4*r - 205 + 67 = 0. Calculate the remainder when t is divided by 17.
14
Let m be (-6)/10 + 54/(-10). Let i = m - -8. Calculate the remainder when i/(-5) + (-97)/(-5) is divided by 7.
5
Suppose 0 = -2*q + q + t + 11, 4*q + 3*t = 16. Calculate the remainder when 41 is divided by q.
6
Suppose -13 = -3*r - 3*x + 224, -10 = 2*x. Let q = 125 - r. What is the remainder when q is divided by 11?
8
What is the remainder when (14/4)/(13/130) is divided by 9?
8
Let n = -2 - -4. What is the remainder when 19 is divided by (n/3)/((-4)/(-42))?
5
What is the remainder when 174*(0/1 + (5 - 4)) is divided by 35?
34
Let b = 13 + -6. Suppose 0 = -2*d + 5 - 1. Suppose -z - d + 14 = 0. Calculate the remainder when z is divided by b.
5
Let j = -3 - -3. Suppose j = -3*y - 27 + 120. What is the remainder when 92 is divided by y?
30
Let l(q) be the third derivative of -3*q**4/8 - q**3/2 + 2*q**2. Let u = 12 - 4. Calculate the remainder when l(-2) is divided by u.
7
Let x be (2 + -45)/(1 - 2). Suppose -x = -3*m - 2*q, -2*m + 6*m + 2*q = 54. What is the remainder when m is divided by 3?
2
Let p = 27 + 4. What is the remainder when 89 is divided by p?
27
Let w = -55 - -22. Let l = w - -50. Let v = -42 - -51. Calculate the remainder when l is divided by v.
8
Let x(r) = -r**2 - 14*r - 13. What is the remainder when 67 is divided by x(-8)?
32
Suppose -4*m - 37 - 3 = 0. Let d = m - -2. Calculate the remainder when (-2)/d + (-297)/(-12) is divided by 13.
12
Suppose 2*c - 1 - 3 = 0. Suppose 2*a + c*a - 68 = 0. What is the remainder when a is divided by (-20)/25*15/(-2)?
5
Suppose -4*c + 7 = -b - 1, -5*b = -2*c - 14. Calculate the remainder when 9 is divided by b.
1
Let a(c) = c**2 + c - 1. Let k = 20 - 19. What is the remainder when a(-2) is divided by k?
0
Let d be -4 + (1 - 1 - 2). Calculate the remainder when 70 is divided by (-1)/d - (-107)/6.
16
Let j = 83 + -50. What is the remainder when j is divided by (-6)/(-12) - 23/(-2)?
9
Suppose 0 = -4*t + s + 98, -4*t + 1 = -4*s - 103. Suppose -5*q + t = -6. Suppose