**2 - 10*c + 19. Calculate the remainder when x(8) is divided by 23.
21
Suppose 3 = o - 0*o. Suppose -25 = -o*l + 20. What is the remainder when 58 is divided by l?
13
Let b(c) = c - 2 + 3*c - 2*c + 8*c**2. Calculate the remainder when b(3) is divided by 26.
24
Suppose 31 = 3*r + 10. Suppose s - 3*c - 10 = 0, -3*c = -s + 3*s - 20. What is the remainder when 1 + 0 + 1 + s is divided by r?
5
Let c = 57 + -25. Suppose -q - 24 - c = -h, -q + 3*h = 62. Let v = -19 - q. Calculate the remainder when v is divided by 12.
10
Suppose 2*c + c - 9 = 0. What is the remainder when (-37)/(-7) + (-4)/14 is divided by c?
2
Let w(x) = x**3 + 15*x**2 + 14*x + 14. Calculate the remainder when w(-14) is divided by 5.
4
Suppose 0 = 4*x + 5*w - 275, -w - 183 = -3*x + 3*w. Let f = x + -43. Calculate the remainder when f is divided by 8.
6
Let j = -168 - -310. What is the remainder when j is divided by 36?
34
Let c = -100 - -146. Calculate the remainder when 135 is divided by c.
43
Suppose -2*f + 0*f = -5*w - 107, -4*w = -f + 46. What is the remainder when f is divided by 36?
30
Suppose -5*p = 2*d - 16, d - 1 = -5*p + 12. Suppose -2*a - 33 - 63 = 5*u, -u = -d*a + 9. Let z = -10 - u. What is the remainder when 14 is divided by z?
6
Let a(d) = 17*d - 35. Calculate the remainder when a(4) is divided by 11.
0
Suppose -2*b = 3*n - 28, -14 = -4*n - 3*b + 25. Let t = n - 3. Suppose p - 5*q + 16 = 0, t*p = 4*p - q. Calculate the remainder when 7 is divided by p.
3
Let k(a) = a + 2. Let x be k(2). Suppose -s - 3 = x*i, -s + 2*i = -3*i - 6. What is the remainder when 2 is divided by (-2)/2*-1 + s?
0
Let h = -15 + 31. Let k = h + -11. What is the remainder when 8 is divided by k?
3
What is the remainder when (1/(-1))/3*(-102)/17 is divided by (-1 + 0)*(-3 + 2)?
0
Let u(x) = 3*x**3 - x**2 - 7*x + 7. What is the remainder when 34 is divided by u(2)?
8
Let s = 15 + 1. Calculate the remainder when 29 is divided by s.
13
Suppose -6*j - 224 = -10*j - 4*b, -2*b - 6 = 0. What is the remainder when j is divided by 20?
19
Suppose 0 = 2*p - p - 13. Suppose 0 = -2*g + 4*q + 68, 5*q + 7 = g - 24. What is the remainder when g is divided by p?
10
Let d(x) = x**3 + 5*x**2 - 2*x**2 - 4 + 7*x**2 + 8*x + 5. What is the remainder when d(-9) is divided by 6?
4
Suppose c - 5*b - 85 = -4*c, c = -b + 23. Calculate the remainder when 33 is divided by c.
13
Let q(p) = -10*p**3 + 2*p + 1. Suppose 80 = -2*x + 7*x. Calculate the remainder when x is divided by q(-1).
7
Suppose -4*u - a = 3*a - 28, -u = -3*a + 9. Suppose u = 3*n - 0. What is the remainder when 33 is divided by n/(-3)*102/(-2)?
16
Let g(r) = r - 6. Let s be g(6). Suppose s = -v + 8 - 4. Suppose 3*u - 3*h = -2*u + 98, 0 = -2*u + v*h + 42. Calculate the remainder when u is divided by 7.
5
Let f = -90 + 292. What is the remainder when f is divided by 41?
38
Let w(t) = -t**2 + 2*t + 44. Calculate the remainder when 30 is divided by w(7).
3
Let m(l) be the first derivative of -l**3/3 - 11*l**2/2 + l + 6. Calculate the remainder when 1 is divided by m(-11).
0
Suppose -3*c + 3*l = -204, -c + 0*l + 68 = -5*l. Suppose 4*d - 4*s = c, 4*d + 4*s - 28 = -0*s. Calculate the remainder when 23 is divided by d.
11
Suppose 0*s = -2*c - 3*s + 13, 0 = s + 1. What is the remainder when 37 is divided by c?
5
Let d be (0 - -6) + (-2 - 0). Suppose -53 = -5*l - d*t, l - 5*t + 2 = 30. Suppose w - 11 = 27. Calculate the remainder when w is divided by l.
12
Let v = -29 + 19. What is the remainder when 21 is divided by ((-32)/v)/((-6)/(-15))?
5
Let x = -47 - -71. Suppose -h + 8 + 5 = 0. What is the remainder when x is divided by h?
11
Let c(m) = 2*m**2 - m + 1. Let g be c(2). Let v = 10 - g. Let k = v - -1. What is the remainder when k is divided by 2?
0
Suppose -v = -6 + 1. Suppose -v*l + 163 + 207 = 0. What is the remainder when l is divided by 19?
17
Suppose -k = 3*k - 16. Calculate the remainder when (-80)/(-6) + k/(-12) is divided by 7.
6
Suppose 2*b = 2*m - 18, 5*m - 2*b - 60 = -0*b. What is the remainder when m is divided by 5?
4
What is the remainder when 144 is divided by ((-49)/(-7))/((2/3)/2)?
18
Suppose 2*r = 2 + 40. Let j = 57 + -18. Calculate the remainder when j is divided by r.
18
Suppose -5*w + 5 = -0*w. Let l(y) = -4*y + 1. Let p be l(w). Let s(g) = g**2 - 2. What is the remainder when s(p) is divided by 3?
1
Let f = 54 - -4. Calculate the remainder when f is divided by 20.
18
Let w(b) = -2*b**3 + 2*b**2 + 5*b + 3. What is the remainder when w(-2) is divided by 5/(-2)*(-4 - -2)?
2
Let h = 22 + -1. Suppose 4*d - i = 179, d = 4*i + i + h. Calculate the remainder when d is divided by 24.
22
Let w(b) = b**2 + 52. Let s be w(0). Let o = s - -113. Suppose 4*v - 5*y - o = 0, 0 = 3*v - v + 3*y - 55. What is the remainder when v is divided by 18?
17
Suppose 2*t = 6*t - 52. What is the remainder when 24 is divided by t?
11
Let c(r) = r**2 + r - 1. Let t(z) = z**2. Let j(k) = -c(k) + 6*t(k). Calculate the remainder when 8 is divided by j(1).
3
Suppose -z - 111 - 21 = 0. Calculate the remainder when 32 is divided by (z/24)/((-2)/4).
10
Suppose -4 - 16 = -h. What is the remainder when h is divided by 2?
0
Suppose -2*d + 8 + 0 = 0. Suppose -4*g + 2 = q, -d*g = -2*g - q + 2. What is the remainder when (-6)/(-3) + 43 + g is divided by 16?
13
Let d = -66 + 108. Calculate the remainder when 81 is divided by d.
39
Suppose -2*b = -0*b + 82. Let o = b + 70. Suppose -3*t + t + 8 = i, 4*i = 2*t + 42. What is the remainder when o is divided by i?
9
Let v be -1*(2 + (-18)/3). Suppose 0 = -3*p - 2*f + v*f + 113, -3*p + 3*f + 117 = 0. Calculate the remainder when p is divided by 18.
17
Let j(q) = 29*q**2 - 1. Let n be j(-1). Suppose 0 = -2*y + 18 + n. What is the remainder when y is divided by 8?
7
Suppose r + 30 = 4*g - 18, -5*g + 63 = -2*r. Let h(c) = -c + 7. Let t be h(6). What is the remainder when (-93)/(-1)*t/3 is divided by g?
9
Let x be (-4 + 6)/((-6)/(-69)). Suppose -3*c + 5*t + x = 2, -5*c + 5*t + 35 = 0. Calculate the remainder when 11 is divided by c.
4
Suppose 0*t = -4*t - 4*w + 36, -5*w + 19 = 3*t. Suppose -5*a = -5*s, 3*s + 2*a - 7 - t = 0. What is the remainder when 6 is divided by s?
2
Let m(l) = -l**2 - 20*l + 8. Let o = 18 + -36. What is the remainder when m(o) is divided by 9?
8
Suppose 2*u = 57 - 47. Calculate the remainder when 8 is divided by u.
3
Suppose 0*p - p = -4. What is the remainder when 6 is divided by p?
2
Let w be 7 + 4/8*-6. Suppose -d + w = -15. What is the remainder when 37 is divided by d?
18
Calculate the remainder when 6 is divided by (80/(-30))/(2/(-3)).
2
Suppose -4*i - i = -15. Let a be (-28)/(-6) + (-2)/3. Suppose 3*p - 17 = -i*q + 79, -4*q + a*p + 104 = 0. What is the remainder when q is divided by 10?
9
Calculate the remainder when 18 is divided by ((-12)/10)/(-6) + 54/5.
7
Let o = 78 - 69. Calculate the remainder when o is divided by 2.
1
Let u = 153 - 103. What is the remainder when 97 is divided by u?
47
Suppose 0 = -23*r + 24*r - 15. What is the remainder when 86 is divided by r?
11
Let x(o) = -o**2 + 9*o + 4. Let w(m) = m**2 + 1. Let s(n) = -2*w(n) - x(n). Calculate the remainder when 45 is divided by s(-3).
9
Let p = -21 + 20. Calculate the remainder when 0 + 1 + -2 + 10 is divided by p + 2 - (-30)/10.
1
Let r = -7 - -18. Let z = 70 + -50. What is the remainder when z is divided by r?
9
Let i(b) = b**2 + 3*b**2 - 14*b**3 - 5*b**2. Suppose 0 = -f - 3*f + 16. Calculate the remainder when i(-1) is divided by f.
1
Let a = -111 - -159. What is the remainder when a is divided by 17?
14
Suppose -19 = -g - 0*g. Let i = 24 - 17. Suppose i = 3*o - 14. Calculate the remainder when g is divided by o.
5
Let o(g) = -5*g + 14. Let p(l) = 2*l. Let s be p(-1). What is the remainder when o(-3) is divided by (-16)/3*3/s?
5
Let r(j) = 2*j**2 + 22 + j - j**3 - 4*j**2 - 21. Let b(g) = g**3 - 2*g**2 - 3*g + 2. What is the remainder when r(-3) is divided by b(3)?
1
Let p(l) be the third derivative of -l**4/8 - l**3/6 + l**2. Calculate the remainder when 8 is divided by p(-2).
3
Suppose 2*m = 8, -m - 31 = -2*j - 5. Let f = 3 - 4. Let h = f + 7. What is the remainder when j is divided by h?
3
Suppose 2*a + 5*f = 57 + 51, -137 = -3*a + 5*f. Calculate the remainder when a is divided by 26.
23
What is the remainder when 34 - 0/(-3 + 2) is divided by 12?
