 (-8)/4 - -1*5. Suppose i*c = 16 + 2. Calculate the remainder when 17 is divided by c.
5
Calculate the remainder when 169/6 - (-4)/(-24) is divided by 10.
8
Suppose 0 = 5*j - 148 + 58. Let z(u) = u**3 - 4*u**2 - 4*u. Calculate the remainder when j is divided by z(5).
3
Let j(q) = 4*q**2 + 7*q - 9. What is the remainder when 110 is divided by j(-5)?
54
Suppose 83 = 3*b - 5*o + 4, -90 = -4*b - o. Suppose 0*f + 3*f - 42 = 0. What is the remainder when b is divided by f?
9
Let d(a) = a + 2. Let p be d(1). Let y = 9 + p. What is the remainder when 45 is divided by y?
9
Let f be (1*-10)/(7 - 6). What is the remainder when f/(-4)*24 + 0 is divided by 21?
18
Suppose 28 = 3*n + n. Let t = 19 + n. What is the remainder when t is divided by 14?
12
Suppose 4*h - 10 = u, -4 = 3*u + 2. Calculate the remainder when (h/6)/((-2)/(-318)) is divided by (-9)/18*1*-34 - -1.
17
Let v(w) = -w**2 + 18*w. Let r(g) = 11*g - 1. What is the remainder when r(6) is divided by v(17)?
14
Let y(r) = -3*r**2 + 0 + 2 + 4*r**3 + 2*r**3 - 7*r**3 + 2*r. Suppose 12 = -3*o - 0*o. Calculate the remainder when y(o) is divided by 6.
4
Suppose -a = -1 - 2. Suppose 6 = a*o + 24. Let k(q) = -q**2 - 8*q - 7. Calculate the remainder when k(o) is divided by 3.
2
Let r = -18 + 39. Suppose 7*f = 4*f + r. Calculate the remainder when 19 is divided by f.
5
What is the remainder when ((-50)/(-30) + -3)*102/(-4) is divided by 8?
2
What is the remainder when (5 - -49) + (3 - 2) is divided by 19?
17
Let o(u) be the second derivative of u**5/20 - 3*u**4/4 + 3*u**3/2 + 9*u**2/2 + 4*u. What is the remainder when 30 is divided by o(8)?
13
Let t = 10 - 6. Let n = t - -4. Calculate the remainder when 21 is divided by n.
5
Suppose 2*a + 1 - 5 = 0. Suppose 18 = a*y + y. Let x(f) = f**3 - 5*f**2 - 3*f - 2. What is the remainder when 30 is divided by x(y)?
14
Let z(n) = -n**2 + 11*n - 14. What is the remainder when z(6) is divided by 3?
1
Suppose f - 4*f = -126. Calculate the remainder when f is divided by 11.
9
Let q(k) be the third derivative of k**5/60 + k**4/6 + 5*k**3/6 - 6*k**2. Calculate the remainder when q(-8) is divided by 10.
7
Suppose 2*c - 4*l - 42 = 0, -75 = -5*c + 3*l + l. Calculate the remainder when 96 is divided by c.
8
Let i be (-1 - -52)*(-5)/15. Let o(v) = -3*v - 5. Calculate the remainder when o(i) is divided by 16.
14
Let y = -4 + 15. Let v(m) = 3*m - 6. What is the remainder when y is divided by v(4)?
5
Let s(w) = 2*w**3 - 2*w**2 + 1. Suppose -3*t - j + 6*j = 7, 0 = t + 4*j - 9. Calculate the remainder when (15 + 2)*(t + 0) is divided by s(2).
8
Suppose 0 = -4*a, 0 = 4*t + 4*a - 7*a - 12. Suppose -k - 16 = -t*k. Suppose 0 = -5*j + 132 - 27. What is the remainder when j is divided by k?
5
Let x be -1 - 1 - (-3 - 30). Suppose -n + x = 2. Suppose 5*t = -2 + 77. Calculate the remainder when n is divided by t.
14
Suppose 2*r - r - 3 = 0. Suppose r = u - 6. Calculate the remainder when 34 is divided by (-10)/15 - (-87)/u.
7
Let b = 49 + -35. Let c = -2 - -4. Suppose 4*z - 20 = c*x, 3*z + 5*x = 2*x + 15. What is the remainder when b is divided by z?
4
Let o = -20 + -5. Let h = o + 55. Suppose -43 = -3*p + j, 4*j - 2*j = 2*p - 22. What is the remainder when h is divided by p?
14
Suppose -y = n + 1, y + 2*n + 2*n + 4 = 0. Let h = 13 + y. What is the remainder when h is divided by 8?
5
Suppose s + 4*s = -2*d + 42, 2*d = 2*s + 14. Let w = d + -6. Calculate the remainder when 17 is divided by w.
2
Suppose -r + 2*r - 21 = 5*f, 3*r - 3*f - 15 = 0. Let u be (2 + (-7)/3)*-3. Let p = u + 0. What is the remainder when p is divided by r?
0
Suppose -35 = 5*t + 5*u - 110, -30 = -2*t + u. Calculate the remainder when 57 is divided by t.
12
Let r = 73 - 35. Calculate the remainder when r is divided by 10.
8
What is the remainder when 38 is divided by (-19 + (-6)/(-2))/(-2)?
6
Let m = 238 + -138. Suppose 10*b - 5*b - m = 0. Calculate the remainder when b is divided by 7.
6
Let w = -3 - 0. Let d = w - -6. What is the remainder when 10 is divided by d?
1
Suppose -4*o = -o - 12. What is the remainder when 9 is divided by o?
1
Let p be 5 + (1 + 1)/(-2). Suppose -4*n + 77 = -a - 36, p*a = -20. Let v = n + -11. Calculate the remainder when 31 is divided by v.
15
Let u = 5 - 0. Suppose -2*v + u*x = v - 50, -2*x - 15 = -v. What is the remainder when v is divided by 9?
7
Suppose -2*n + 5 + 11 = 0. Suppose 2*o - n - 2 = 0. Calculate the remainder when 13 is divided by o.
3
Suppose 8 = -2*k + 6*k. Let v = k + 1. Suppose -v*x + 2*x = -24. Calculate the remainder when 47 is divided by x.
23
Suppose -66*s + 69*s - 93 = 0. Calculate the remainder when 91 is divided by s.
29
Suppose -24 = -4*h + 4*p, 0 = 5*h - p - 21 - 9. What is the remainder when h is divided by (-20)/6*(-6)/5?
2
What is the remainder when 174/(-9)*(-7 - -4) is divided by 15?
13
Let p(h) = -h**3 + 10*h**2 - 9*h + 9. Let y be 3*6/(5 - 3). Calculate the remainder when 15 is divided by p(y).
6
Suppose 9*b - 720 = b. What is the remainder when b is divided by 24?
18
Let b be (-2)/8 + 873/36. Suppose -5*u = -25, -5*u = 3*o - 17 - 17. Suppose b = o*g - 9. Calculate the remainder when 21 is divided by g.
10
What is the remainder when 51/2*6/9 is divided by 9?
8
Let m = -200 + 229. Calculate the remainder when 82 is divided by m.
24
Let f = 12 + -7. Suppose f*d - 29 = 4*d. What is the remainder when d is divided by 12 + (-3)/(12/(-16))?
13
Let n(q) = -q**2 + 7*q + 5 - 5 + 0. Calculate the remainder when n(5) is divided by 4.
2
Suppose -3*f + 12 = 0, -3*k - f + 0*f + 7 = 0. Calculate the remainder when k + (0 - 0) - -3 is divided by 1.
0
Let p(d) = -7*d - 6. Let o be p(-4). Suppose o - 7 = 3*g. Let b = g + -3. Calculate the remainder when 3 is divided by b.
1
Let k = -95 + 147. Calculate the remainder when k is divided by 27.
25
Suppose 25 + 22 = j. What is the remainder when 90 is divided by j?
43
Suppose -3*h - 4*u + 2 - 15 = 0, -h = -u - 5. Let r be -30*1*(h + 0). Calculate the remainder when 62 is divided by ((-36)/r)/(4/70).
20
Let x(h) = 7*h + 1. Let f(a) = -6*a - 1. Let y(m) = 4*f(m) + 3*x(m). What is the remainder when y(-2) is divided by 2?
1
Calculate the remainder when 25 is divided by ((-14)/(-6))/(3/9).
4
Let f(k) = -k + 1. Let t be 0 + -1*(-1 + 4). Let a be f(t). Suppose a*u = -h + 7, 5*u + 3*h - 3 = 4. Calculate the remainder when u is divided by 1.
0
Let r(b) = -44*b - 1. Calculate the remainder when r(-1) is divided by 22.
21
Let l = -109 + 131. What is the remainder when 85 is divided by l?
19
Let u(p) = -p**2 - 10*p - 13. What is the remainder when 32 is divided by u(-6)?
10
Suppose -5*a + 71 = -64. Suppose -5*c = -y - 18, 2*c = -2*y + 16 - 4. Suppose -a = -y*j + 3. What is the remainder when j is divided by 8?
7
Let i(z) = 2*z**3 - 8*z**2 - 5*z + 7. What is the remainder when i(6) is divided by 31?
28
Let s(g) = -g**2 + g. Let u be s(3). Let c(m) = -m + 1. What is the remainder when 20 is divided by c(u)?
6
Let d = 364 + -260. What is the remainder when d is divided by 27?
23
Let l = -1 - 2. Let j(n) be the second derivative of -n**5/20 - n**4/12 + 2*n**3/3 + n**2 + n. What is the remainder when j(l) is divided by 5?
3
Suppose 5*x - 19 = 21. Suppose -g + 20 = 6. What is the remainder when g is divided by x?
6
Let v(w) = w**3 + 6*w**2 - 8*w - 7. Calculate the remainder when v(-5) is divided by 12.
10
Suppose -7 + 4 = -q. Suppose 0 = -l - q*v, 0 = 4*l - v + 4*v. Suppose 3*i + 10 = 3*b + b, 2*b - 5*i + 2 = l. Calculate the remainder when 5 is divided by b.
1
Suppose -t + 8 = 4. Let h = -1 - -1. Let l(r) = -r**2 - r + 10. Calculate the remainder when l(h) is divided by t.
2
Let u = -126 + 233. What is the remainder when u is divided by 16?
11
Suppose 0 = 5*z - k + 46 - 179, -5*k = z - 11. What is the remainder when ((-34)/(-8))/((-3)/(-72)) is divided by z?
24
Let f(r) = -5*r + 1. What is the remainder when 19 is divided by f(-2)?
8
Calculate the remainder when (-1491)/(-27) - 6/27 is divided by (-33)/(-3) - -3*1.
13
Let z(x) = -x**3 + x**2 - x + 27. Let j be z(0). Let u = j + -10. Suppose 4*v - 30 = -v - f, -12 = -2*v + 4*f. Calculate the remainder when u is divided by v.
5
Let c = -71 + 158. Suppose 5*u - 2*u = c. Calculate the remainder when u is divided by (-2)/(-2) - 3*-3.
9
Suppose -3*c + 2*i - 256 = -8*c, -2*c - i = -103. What is the rem