
Suppose -4*h + 6 = -22. Let d(n) = -10*n - 100. What is the remainder when d(-12) is divided by h?
6
Suppose 4 = 3*q - 5. Let y = q - 1. Let c = 20 + y. What is the remainder when c is divided by 8?
6
Let n = 59 + -37. What is the remainder when 86 is divided by n?
20
Let s = 28 + 0. Calculate the remainder when s is divided by 10.
8
Suppose 9*d - 4*d = 0. Let l be (-260)/6 + (-13)/(-39). Calculate the remainder when -3 - l - (1 + d) is divided by 20.
19
Let h(y) = y**2 - 2*y - 2. Let l(x) = 2*x**2 + x + 1. Calculate the remainder when h(5) is divided by l(-2).
6
Let d(h) = h**3 - 8*h**2 + 8*h + 5. What is the remainder when d(8) is divided by 35?
34
Let k(d) = 4*d + 13. What is the remainder when 2 is divided by k(-3)?
0
Suppose -2*f + 142 = 4*c + f, 4*c - 4*f = 128. Calculate the remainder when c is divided by 10.
4
Suppose 2*h - 8 = 102. Let q = h + -32. Suppose 27 + 5 = 4*d. What is the remainder when q is divided by d?
7
Let d = 26 + -11. Let o(p) = -p**3 + 5*p**2 + 5*p + 4. What is the remainder when o(5) is divided by d?
14
Let b(h) = h**3 + 6*h**2 - 9*h - 4. What is the remainder when (-2)/(0 + 2/(-28)) is divided by b(-7)?
8
Suppose k = -17 + 22. Suppose k*w - 2*w = 162. Calculate the remainder when w is divided by 11.
10
Let z(d) = d**3 + 10*d**2 - 2*d - 11. What is the remainder when z(-9) is divided by 18?
16
Let i(k) = k**2 - 5*k - 1. Let x be i(6). Suppose 26 = x*g - 24. Let w = -4 + g. Calculate the remainder when 11 is divided by w.
5
Suppose -4*u + 164 = -3*v, 4*u = v - 7 + 179. Calculate the remainder when u is divided by 23.
21
Suppose -3*y = 2*g - 28, -3*y + 5*y = 5*g - 32. What is the remainder when 54 is divided by g?
6
Let s(z) be the second derivative of -z**5/20 - z**4/4 + 4*z**3/3 + 7*z**2/2 - z. Suppose f + 8 = 17. What is the remainder when s(-5) is divided by f?
8
Let o(v) = 6*v - 1 + 6 - 3*v + 10. What is the remainder when o(0) is divided by 8?
7
Let u(p) = -p**3 + 11*p**2 - 5*p - 7. Calculate the remainder when u(10) is divided by 23.
20
Let r = -43 - -106. What is the remainder when r is divided by 11?
8
Suppose -49 = -2*w + d, -10 = -d - d. What is the remainder when 52 is divided by w?
25
Let m = -21 - -31. Suppose y = -c + 3*c, -3*y + c = 0. Suppose 0 = -3*g - g + 4*x + 76, y = x. Calculate the remainder when g is divided by m.
9
Let s = 7 - 4. Let k = -37 + 46. Calculate the remainder when k is divided by s.
0
Let b be ((-40)/(-25))/((-4)/170). Calculate the remainder when 28 is divided by b/(-8) - (-3)/2.
8
Suppose 0 = -0*s - 6*s + 114. Calculate the remainder when 71 is divided by s.
14
Suppose -x + 58 = x. Calculate the remainder when x is divided by (-20)/(-15)*30/4.
9
Suppose 0 = 3*u - 0*u - 90. Suppose -6*w + w = -u. Calculate the remainder when w is divided by 2.
0
Let s = 31 + -6. Calculate the remainder when s is divided by 13.
12
Suppose 3*q - 5*q = -64. Suppose -33 = -t + q. What is the remainder when t is divided by 22?
21
What is the remainder when 66 is divided by ((-10)/(-25))/1 + 83/5?
15
Let h = 2 - -4. Suppose -h*y = -y - 10. Let f(l) = 2*l**2 - l - 1. What is the remainder when f(2) is divided by y?
1
Suppose 4*s - 5*k + 153 = 0, 3*k - 145 = 3*s - 28. Let c = 7 - s. Calculate the remainder when c is divided by 13.
10
Let t = 132 + -92. Suppose 12 = -3*l + 4*l. What is the remainder when t is divided by ((-14)/6)/((-2)/l)?
12
Suppose -3*g = -g + 4*x, -6 = 4*g + 5*x. Calculate the remainder when ((-58)/(-3))/(g/(-6)) is divided by 10.
9
Suppose v + 2 = 3. Let y be 5*(v + (-3)/5). Suppose 5*o = y*g + 105, 3*o - g - 48 = 14. Calculate the remainder when o is divided by 7.
5
Let f(t) = t**3 - 8*t**2 + 10. Let w be f(7). Let l = -22 - w. Let m(u) = 17*u - 1. What is the remainder when m(3) is divided by l?
16
Suppose -4*a - 3*b = -28, -4*a - 2*b = -10 - 18. Suppose 0 = a*i - 2*i + 25. Calculate the remainder when 246/15 + 2/i is divided by 6.
4
Suppose 5*q = -4*l + 69, 5*l + q + 0*q - 102 = 0. Let a = -13 + l. What is the remainder when 2/(-10) - (-660)/50 is divided by a?
5
Suppose -2*t - 11 + 1 = 0. Let s = t + 6. What is the remainder when 1 is divided by s?
0
Let o = 47 - 44. Let a be (8/(-6))/(1/(-3)). Suppose -4*j = 16, -a*j + 9*j = o*n - 26. What is the remainder when 4 is divided by n?
0
Suppose 0 = -2*z - 4, -3*w + 4*z + 42 = -41. Suppose 21*h = 26*h - 245. Calculate the remainder when h is divided by w.
24
Suppose -w + 24 = -16. What is the remainder when 117 is divided by w?
37
What is the remainder when -1*1 + 0 - (3 - 73) is divided by 18?
15
Let p(c) = c**3 - 4*c**2 + 10*c - 9. Calculate the remainder when p(4) is divided by 11.
9
Let v(n) = 2*n + 1. Let l = 21 + -12. What is the remainder when v(l) is divided by ((-4)/(-5))/(2/25)?
9
Let k(r) = 3*r**2 + 5. Calculate the remainder when k(-5) is divided by 27.
26
Let c = -77 - -92. Calculate the remainder when c is divided by (-92)/(-10) + (-2)/10.
6
Let g = -32 - -39. What is the remainder when 52 is divided by g?
3
Let t = 8 - -20. Let n = 3 - 10. Let j(d) = -d + 3. Calculate the remainder when t is divided by j(n).
8
What is the remainder when 51 is divided by 8/20 + 63/5?
12
Suppose -10*u = -7*u - 15. Suppose 2*j = 2, 0 = -y + 5*y + 2*j - 70. What is the remainder when y is divided by u?
2
Let x(b) = 2*b**3 + 12*b**2 - 4*b + 1. Calculate the remainder when 222 is divided by x(-6).
22
Let x(z) = -z**2 - 12*z - 3. Calculate the remainder when x(-5) is divided by 17.
15
Let l(w) be the first derivative of -w**2/2 - 10*w - 1. Let j be l(-8). What is the remainder when 1/((-3)/(-105)) - j is divided by 13?
11
Let j(m) = m**3 + 5*m**2 + 2*m + 1. Let a be j(-4). Suppose 2*i = a + 9. Calculate the remainder when 17 is divided by i.
8
Let h(m) = m**2 - 2 + 4*m**2 + 1 + m**3 - 5 - 2*m. Let f = 79 - 45. Calculate the remainder when f is divided by h(-4).
16
Suppose 4*u = -4*m + 76, 2*m - 29 = 4*u - 9*u. What is the remainder when 65 is divided by m?
21
Let b(g) = 16*g**2 - 3*g - 3. What is the remainder when b(-2) is divided by 17?
16
Suppose -45 = -2*l + a + 3, 4*l - 100 = 4*a. What is the remainder when 54 is divided by l?
8
Let a(b) = -b**3 - 5*b**2 - 3*b - 9. What is the remainder when 222 is divided by a(-6)?
42
Let c(g) = -g**2 + 7*g - 6. Let h be c(4). Let u be 1 + 0*(-2)/h. Let m(w) = 11*w**2 - w. Calculate the remainder when 18 is divided by m(u).
8
Let s be ((-2)/5)/((-1)/110). Suppose -6*z + 2*z + s = 0. Suppose 3*c + 2*c = 4*k - 44, k = -4*c + z. What is the remainder when 21 is divided by k?
10
Suppose y + 2*y + 63 = -2*k, -3*k + 67 = -4*y. Let a = -14 - y. What is the remainder when 12 is divided by a?
2
Suppose -6*d + 5*d = -16. Suppose -35*w - 60 = -37*w. What is the remainder when w is divided by d?
14
Suppose -3*x + 27 = n, 3*x + x - 8 = n. Calculate the remainder when 95 is divided by n.
11
Suppose 0 = -2*b + 3 + 9. Calculate the remainder when 27 is divided by b.
3
Let u = 28 + -14. Let f be (-2 - -14) + (-3 - -1). Let m = f - 2. What is the remainder when u is divided by m?
6
Let q = 39 - 28. Calculate the remainder when 32 is divided by q.
10
Let k = 17 + -3. Let a(c) = -2*c**3 - 6*c**2 - 2*c + 1. What is the remainder when a(-4) is divided by k?
13
Suppose 0 = 4*c - 6*c + 18. What is the remainder when c is divided by (5 + -2)/(-1 - -2)?
0
Suppose y + 15 = 4*l, -5*l + 6 = -l + 2*y. Let t(w) = -2 - w**3 + w**2 + 5*w**2 - 2*w**2. Calculate the remainder when 13 is divided by t(l).
6
Let g = 300 + -197. Calculate the remainder when g is divided by 15.
13
Let h = 31 + -45. Calculate the remainder when (h - 0)/(0 + -1) is divided by 8.
6
Let p = -10 + 27. Let t(u) = -u - 2 + 2*u**2 + u. Calculate the remainder when p is divided by t(-2).
5
Let b(p) = -p**2 + 10*p - 1. What is the remainder when 71 is divided by b(8)?
11
Let s(b) = -b**2 - 9*b + 16. Suppose 0 = 2*j - 3*j + 23. Calculate the remainder when j is divided by s(-10).
5
Suppose -2*n + 32 = -12. Calculate the remainder when 43 is divided by n.
21
Suppose 0*b - 5*b = -30. Let q = 0 - b. Let h(a) = -a**3 - 7*a**2 - 7*a + 6. What is the remainder when 34 is divided by h(q)?
10
Let j(q) = 10*q**3 - 2*q**2 + q. Calculate the remainder when j(1) is divided by 3 + 0 + (2 - 0).
4
Let g(n) = -n + 13. Let f be g(9). Suppose f*v - 2*p = 4 + 92, v + 5*p - 46 = 0. What