
Let a = -30 - -68. Suppose -3*b - 2*b = 0. Let u(r) = -r**2 - r + 13. What is the remainder when a is divided by u(b)?
12
Suppose -40 = -4*h + 76. Calculate the remainder when h is divided by 8.
5
Suppose -2 + 30 = 7*b. Calculate the remainder when 38 is divided by b.
2
Let b = -3 - -1. Let i = 1 - b. Suppose 0*s + 11 = i*l + 4*s, -22 = -4*l + 2*s. What is the remainder when 14 is divided by l?
4
Let z = 2 + 3. Suppose 5*r - 3*p = 24, -z*r + 11 = -4*p - 11. What is the remainder when 34 is divided by (-7 + 3)/(-2)*r?
10
Calculate the remainder when ((-23)/(-1) - 1) + -2 + 4 is divided by 13.
11
Let l = 61 + -7. What is the remainder when l is divided by 20?
14
Let r = 14 - 8. What is the remainder when r is divided by 3?
0
Let u = 3 - -3. Let j(y) = -2*y. Let r be j(-1). Calculate the remainder when u is divided by 2*(-4)/r*-1.
2
Suppose 0 = -2*z + 5*c - 5, 3*c = 2*z - 4*z + 19. Suppose 0 = 2*g - 4 + 2. What is the remainder when (6/(-18))/(g/(-51)) is divided by z?
2
Suppose 0*c - 9 = -3*c. Suppose c*b + 45 = 6*b. What is the remainder when 43 is divided by b?
13
Suppose -j + 51 = -4. Suppose -5*t = z + 3*z - j, -5*z = -5*t + 55. Calculate the remainder when (-8)/(12/(-6))*(-155)/(-20) is divided by t.
9
Let c = 0 - -3. Suppose -27 = -c*r + 2*b + b, 3*r + 2*b = 2. Suppose 4*v + p = 2 + 60, -5*p + 54 = r*v. Calculate the remainder when v is divided by 6.
4
Suppose 5*w - 15 = -5*z - 0*w, 0 = -3*z + 2*w - 1. Suppose -8*r - 64 = -4*r. What is the remainder when (z - -2)*r/(-3) is divided by 9?
7
Suppose 4*g = -2*k + 66, g + 78 = k + 2*k. What is the remainder when k is divided by 15?
12
Let m(a) = -a**3 + 13*a**2 - 13*a + 24. Calculate the remainder when 10/(-3)*-6 - -1 is divided by m(12).
9
Suppose 0 = 4*p - 48 - 132. Suppose 22 = 2*a + 4*c, -4*c + p = 3*a + 12. What is the remainder when 20 is divided by a?
9
Let g(q) = q**3 - 3*q**2 + q + 1. Suppose 0 = -0*w + w - 12. What is the remainder when g(3) is divided by ((-16)/w)/((-8)/18)?
1
Suppose -4*f = 2*j, 0 = -f - 0*f - 4*j - 7. What is the remainder when 3 is divided by 1/(f - (-2)/(-4))?
1
Suppose 0 = -q - 3 + 13. What is the remainder when 69 is divided by q?
9
Let n be -5 + 1 + 2 + 31. Suppose -8 = r - n. What is the remainder when 60 is divided by r?
18
Suppose 2*n - 48 = 5*o + 28, -190 = -5*n + 2*o. What is the remainder when n is divided by 21?
17
Calculate the remainder when ((-37)/(-3))/((-3)/(-9)) is divided by 20.
17
Let m be 2 + 0 - (-7 + 0). What is the remainder when 6/(-3) + m*3 is divided by 13?
12
Let k(u) = -u**3 - u**2 - 4*u - 3. What is the remainder when k(-3) is divided by 15?
12
Let d(y) = y**2 + 3*y + 1. Let n = 0 + 4. Suppose 2*c - 21 = n*o - o, -c + o = -8. Calculate the remainder when d(-4) is divided by c.
2
Suppose 2*w - 6 = -0. Let f = -2 - w. Let k = f - -21. What is the remainder when 30 is divided by k?
14
Calculate the remainder when 10/10*(-61)/(-1) is divided by 21.
19
Suppose h = -8 + 17. What is the remainder when 44 is divided by h?
8
Suppose -6*v = 2*v - 24. What is the remainder when 9 is divided by v?
0
Suppose 0*g - 16 = -g. Let n = g + -11. What is the remainder when n is divided by 2?
1
Let n = -24 + 40. What is the remainder when n is divided by (-1)/2 - (-13)/2?
4
Suppose 4*g = 3*i + 2, 2*i - 4*g - g = -13. Let u = 8 - i. Suppose u*r - 25 = -3*d - 0*r, -2*r - 30 = -2*d. What is the remainder when 21 is divided by d?
10
Suppose 2 = 3*t + 20. Calculate the remainder when 64/6 - t/(-9) is divided by 4.
2
Suppose j - 7 = -2*t + 6, -8 = -j - t. Let d = 3 + j. What is the remainder when 10 is divided by d?
4
Let b be -4 + 8 - 2*1. Suppose -b*f - 2*f + 144 = 0. What is the remainder when f is divided by 13?
10
Let f = -7 + 36. Suppose 5*o = -2*r - 0*o + 31, -9 = -3*r + 5*o. Calculate the remainder when f is divided by r.
5
Let l(m) = m**2 - m. Let s be l(5). Let c = -13 + s. Suppose -5*o - 4*f = -112, 54 = 4*o - o - 2*f. Calculate the remainder when o is divided by c.
6
Let f be (3*-1)/((-2)/(-10)). Let p = f + 26. What is the remainder when 32 is divided by p?
10
Let p(i) = i**2 - 3*i - 7. Let v be p(8). Suppose -v = -5*w + 7. Calculate the remainder when -46*(-4)/16*2 is divided by w.
7
Suppose -5*w + 4*u - 153 = 0, -3*w = -4*u + 1 + 86. Let m = -19 - w. Calculate the remainder when m is divided by 8.
6
Suppose -3*f + 30 = 3. Calculate the remainder when 30 is divided by f.
3
Suppose -9 = -z + i + 10, 62 = 4*z + 3*i. Let x = -16 + z. Calculate the remainder when 4 is divided by x.
0
Let h = -28 - -41. Let c(o) = o**3 + 2*o**2 + 5*o + 2. Let q be c(-4). Let d = -25 - q. Calculate the remainder when d is divided by h.
12
Let s(w) = 31*w**2 - 2*w + 1. Suppose -4*b + 438 = -34. Calculate the remainder when b is divided by s(1).
28
Calculate the remainder when (-4)/(-6) - 616/(-21) is divided by 8.
6
Let w be (-106)/(-22) - (-4)/22. Suppose 2*y + n = 4, 4*n + 2 = w*n. Let o(t) = t**3 + 15*t**2 - 15*t + 17. What is the remainder when o(-16) is divided by y?
0
Suppose 18*p - 8*p = 320. Calculate the remainder when 62 is divided by p.
30
Let g(a) = -a**2 - 3*a + 8. Let p be g(-6). Let n = p + 14. What is the remainder when 7 is divided by n?
3
Let v(n) = 6*n - 46. Calculate the remainder when 74 is divided by v(12).
22
Let a(j) be the second derivative of 5*j**4/4 - j**2/2 + 3*j. What is the remainder when 26 is divided by a(1)?
12
Let h(l) = -4*l + 4. Calculate the remainder when 38 is divided by h(-1).
6
Let p(g) = -g**2 + 18*g + 13. Calculate the remainder when p(15) is divided by 20.
18
Suppose 3*s - 2*s - 8 = 0. What is the remainder when -35 + 51 - (-3)/((-3)/2) is divided by s?
6
What is the remainder when (-4)/(-14) + (-4 - (-234)/14) is divided by (-8 - -1)/(3/(-3))?
6
Let h(p) = p**3 - 5*p**2 + p + 9. Suppose u = -2*u. What is the remainder when h(5) is divided by (u + 12)/((-3)/(-2))?
6
Suppose -5*a = 4*m - 75, 5*a - 2*m - 3*m = 75. What is the remainder when 30 + (5 - 1)/(-2) is divided by a?
13
Suppose 0 = -y + 5*q - 20, 3*y + 15 = 5*y + q. Calculate the remainder when y is divided by (-1 - -5) + -2 + -2 + 2.
1
Calculate the remainder when 47 is divided by (-1 - -5 - 0) + 12.
15
Suppose 3*j = 7*j + 3*c - 313, -j + 102 = -4*c. Calculate the remainder when j is divided by 28.
26
Let w = -57 + 97. Suppose 2*f = w - 8. What is the remainder when 46 is divided by f?
14
Let s = 8 - 17. Let f = 16 + s. Let a = 37 + -17. Calculate the remainder when a is divided by f.
6
Let m = -162 + 212. Calculate the remainder when 99 is divided by m.
49
Let x(v) be the third derivative of -7/6*v**3 + 0 + v**2 + 1/8*v**4 + 0*v. What is the remainder when 31 is divided by x(6)?
9
Let c(l) = -l**3 - 4*l**2 - 3*l - 5. Suppose 0 = -4*d - 22 + 6. What is the remainder when c(d) is divided by 4?
3
Let j be (-6)/9*-3 - 0. Suppose 10 + 10 = j*s. Calculate the remainder when 19 is divided by s.
9
Suppose 2*h - 36 = -2*h. Let k = 36 - h. Calculate the remainder when 107 is divided by k.
26
Let h = 32 - -223. Suppose 5*v + 5*j - h = 0, -3*v + 7*v = j + 224. Calculate the remainder when v is divided by 14.
13
Let r(a) = 2*a**2 + 4*a - 5. Let m be 17/(-5) + (-9)/15. Calculate the remainder when 41 is divided by r(m).
8
Suppose t + 17 = 4*n, -3*n + 7 = -n + t. Let a be (17 + 4)*2/(-3). Let y = -3 - a. What is the remainder when y is divided by n?
3
Suppose 5*n - 3*v + v = -4, n + 2*v = 4. Suppose 4 + n = 2*f. Calculate the remainder when 3 is divided by f.
1
Suppose 0 = 10*s - 14*s + 160. What is the remainder when s is divided by 14?
12
Let n = 15 + 32. Suppose 0 = -2*v - 5*b + 20 - 7, -4*v - 3*b + n = 0. What is the remainder when 40 is divided by v?
12
Suppose 165 = -4*f + 629. Calculate the remainder when f is divided by 24.
20
Suppose v - 5*v = 216. Let l = 4 - v. Suppose 0*o + o - l = -2*q, 74 = 2*q - 3*o. Calculate the remainder when q is divided by 11.
9
Let c(b) = -b**3 + 12*b**2 - 11*b + 26. Calculate the remainder when 149 is divided by c(11).
19
Suppose 160 = 2*t + 3*t. Suppose h + 0*h = 0. Calculate the remainder when t is divided by -17*(1 + -2 + h).
15
Let g(j) = -9*j - 9. Calculate the remainder when g(-21) is divided by 46.
42
Suppose 2*y + 0*y = 58. Suppose -43 = -4*d + 17. Calculate the remainder when y is divided by d.
14
Let w(a) = -5*a. Calculate the rem