 = 88 - 53. Suppose 6*b = b + s. What is the remainder when b is divided by 4?
3
Let x = -9 + 118. What is the remainder when x is divided by 28?
25
Suppose -64 - 189 = -b. Suppose -3*a = -f - b, -2*f + 268 = 7*a - 4*a. Calculate the remainder when a is divided by 22.
20
Calculate the remainder when 2/(2 - 4)*-30 is divided by 8.
6
Let q be (-36)/30*70/(-2). Suppose 5*b = 3*m + q, 2*m - m = 3*b - 26. Suppose 61 - 11 = 2*v. Calculate the remainder when v is divided by b.
7
Calculate the remainder when 1539/(-18)*4/(-6) is divided by 12.
9
Suppose -7*h + 25 = -2*h. What is the remainder when h is divided by 3?
2
Let c(y) = -5*y**2 + 2*y - 4. Let h be c(7). Let r be (-8)/(-10)*(-5)/(-2). Calculate the remainder when r/4 - h/10 is divided by 13.
11
Let w = -26 - -46. What is the remainder when 37 is divided by w?
17
Suppose -4*h = t - 30, 3*h - 6 = t - 2*h. What is the remainder when 82 is divided by t?
12
Let q(u) = 20*u**2 + u - 1. Calculate the remainder when 199 is divided by q(1).
19
Let d(s) = -8*s - 4. Let m be d(-5). Suppose -3*l = -4*l + 7. Calculate the remainder when m/(-3)*(0 - 1) is divided by l.
5
Suppose 0 = 3*n + 5 - 14. Calculate the remainder when 7 is divided by n.
1
Suppose 5*d - 103 = -38. Let v(m) = -m**3 + 12*m**2 + 15*m - 10. Calculate the remainder when 45 is divided by v(d).
13
Suppose -6*q = -q. Suppose 3*z + 2*z - 10 = q. Calculate the remainder when 52 + (3 - 3)/z is divided by 18.
16
Let s(i) = 3*i**2 - 3*i + 2. Let k be s(2). Suppose -2*l + 0*l + k = 0. What is the remainder when 11 is divided by l?
3
Let g(q) = -3*q + 8. Calculate the remainder when 190 is divided by g(0).
6
Calculate the remainder when (-708)/(-7) - 2/14 is divided by 17.
16
Let a(v) = -v + 8. Suppose -2*o + i = -0*o + 17, -5*o - i = 39. What is the remainder when a(o) is divided by 6?
4
What is the remainder when 8/((1 - 3) + (-7)/(-3)) is divided by 15?
9
Let x(b) = 2*b + 12. Let o be x(-5). Suppose -4*k - s = -o*s - 53, -4 = -2*k - 4*s. Calculate the remainder when 45 is divided by k.
9
Suppose p - 4*h - 119 = 0, -2*p + p + 2*h = -125. What is the remainder when p is divided by 33?
32
Let x = 27 + -20. Suppose 0 = 11*m - x*m - 140. Calculate the remainder when m is divided by 18.
17
Let f(i) = i**2 + 6*i + 7. Let m = 17 - 5. What is the remainder when f(-9) is divided by m?
10
Let c = -49 - -71. Calculate the remainder when 63 is divided by c.
19
Suppose y = -3, -2*d + 20 = -4*y - 0*y. Suppose b - 10 = -b - d*l, -2*l = 0. What is the remainder when 8 is divided by b?
3
Suppose 5*v = v + 24. Calculate the remainder when 5/(15/v) - -56 is divided by 15.
13
What is the remainder when 0/(-2 - 2) - -31 is divided by 11?
9
Let b(y) = -y + 1. Let l(o) = -16*o - 3. Let z(t) = -3*b(t) - l(t). Calculate the remainder when 55 is divided by z(1).
17
Suppose -76 = -0*h - 4*h. Let y = h + 4. Let i(k) = 2*k**3 - 2*k. What is the remainder when y is divided by i(2)?
11
Let f = 50 - 24. Calculate the remainder when f is divided by 9.
8
Let y(g) = 12*g - 2. Let b(q) = q**2 + 6*q + 5. Let v be b(-5). Suppose d - 6*d + 40 = v. What is the remainder when y(2) is divided by d?
6
Let t = 151 + -105. Calculate the remainder when t is divided by 7.
4
Let x(b) = 108*b**2 - 1. Let d be x(1). Let c = -47 + d. What is the remainder when c is divided by 21?
18
Let z be -2 + 1 + 2 + 32. Suppose 3*v - z = 15. What is the remainder when 47 is divided by v?
15
Suppose -3*u - 2*t = t - 66, -4 = t. What is the remainder when 102 is divided by u?
24
Suppose -p = -3*t - 2 - 4, -5*p - 5*t = -10. Suppose p*r = 4*h - 51, -4*h - 5*r = -35 - 8. Calculate the remainder when 46 is divided by h.
10
Suppose -p - s = -66, -153 - 77 = -3*p + 5*s. What is the remainder when p is divided by 18?
16
Suppose -10*n = -5*n - 25. Suppose -5*i + 115 = 5*d, 2*d - n + 85 = 5*i. Suppose -5*k = -k - 212. Calculate the remainder when k is divided by i.
17
Suppose -3*g + 2 = -10. Suppose 4*c = -g, -3*x + 12 = -2*c - 35. What is the remainder when (172/(-6))/(2/(-3)) is divided by x?
13
Suppose 0 = -o + 3*d + 49, 3*d - 216 = -4*o + 5*d. Suppose -3*v - 5*b + 81 - 19 = 0, 35 = 2*v - 3*b. Calculate the remainder when o is divided by v.
17
Let z(p) = p**3 + p**2 - p - 1. Let a be z(-1). Suppose 5*b - 3*o - 37 = 0, a*b - 5*o = 2*b + 10. Let k = b - 3. What is the remainder when 3 is divided by k?
1
Let i = 7 + 0. Suppose -2*q = -3*t + 73 + 6, -q + 73 = 3*t. What is the remainder when t is divided by i?
4
Suppose 64 = -4*i + 8*i. Let g = 30 - i. Let q = 49 - 23. Calculate the remainder when q is divided by g.
12
Let p(c) = -c**3 + 19*c**2 + 22*c - 37. Suppose 4*h - 3 - 29 = 0. Let g = h + -6. Calculate the remainder when p(20) is divided by g.
1
Let f = -1 - -34. Calculate the remainder when 130 is divided by f.
31
Suppose w - 2*k - 6 = 2*w, -5*k = -w + 29. Suppose -5*n + 2*n + 15 = 0. What is the remainder when n is divided by w - 7 - (1 + -7)?
2
Let u(x) = x + 4. Let k(j) = j + 3. Let v(c) = 6*k(c) - 5*u(c). Let b be v(3). Let p(o) = 2*o**2 - o + 1. Calculate the remainder when 2 is divided by p(b).
0
Let g be (-2)/((-3)/(-66)*-2). Suppose 0*h - 3*h = 5*t - 6, -h + 5*t + g = 0. Calculate the remainder when 20 is divided by h.
6
Let s = 37 - 21. Let c be (2 - 4)*34/(-4). Suppose -c - 19 = -4*w. Calculate the remainder when s is divided by w.
7
Suppose -2*f + 4*r - 50 = 2*r, -3*r - 55 = 2*f. Let q = -6 + f. Calculate the remainder when q/(-10) - (-1)/(-5) is divided by 2.
1
Suppose -5*z + 0*z = -65. Let s(i) = -7*i - 5. Calculate the remainder when s(-6) is divided by z.
11
Let w(l) = 10*l. Let i(k) = -7*k - 6. Let y(u) = -15*u - 13. Let b(p) = -13*i(p) + 6*y(p). Let n be b(2). What is the remainder when w(n) is divided by 7?
6
Let k(x) = -4*x + 26. Let q = -11 - -27. What is the remainder when k(-5) is divided by q?
14
Calculate the remainder when 17/51*(-18)/(-1) is divided by 3.
0
Let h = -33 + 78. Suppose 4*r - 145 = -3*z + 25, 4 = -2*z. Suppose -2*o = 4*k - 2*k - 42, -2*o = k - r. What is the remainder when h is divided by o?
22
Let m(h) = h**3 - 3*h**2 + 2*h + 1. Suppose i - 2*i + 3 = 0. Calculate the remainder when m(3) is divided by i.
1
Suppose -36 = -5*i - 1. Suppose -2*w - i = -3*w. What is the remainder when 13 is divided by w?
6
Let f(u) = 2*u**2 - 17*u + 8. What is the remainder when f(11) is divided by 13?
11
Let y(o) = 2*o**3. Let g be y(1). Suppose g*j - 12 = -2. Let l(i) = -i**2 + 6*i + 7. What is the remainder when 23 is divided by l(j)?
11
Let b(x) = x**3 - 8*x**2 - 2. Let y be b(9). Let t = -44 + y. What is the remainder when t is divided by 12?
11
Suppose 6*s - s - 2*d - 55 = 0, -43 = -2*s + 5*d. What is the remainder when s is divided by -5 + 7 + (2 - 1)?
0
Suppose -152 = 3*x + 5*t - 14, -92 = 2*x - 4*t. Let s be -2 + (-2)/(4/x). Suppose 4*w - s = 39. What is the remainder when w is divided by 8?
7
Calculate the remainder when 42 is divided by ((-30)/9)/((-4)/6).
2
Suppose 3*d - 95 = -29. Calculate the remainder when (-175)/(-4) - (-6)/(-8) is divided by d.
21
Let v = 10 + -7. Suppose v*o - 6 - 12 = 0. Calculate the remainder when 16 is divided by o.
4
Suppose 17 = 2*f - 19. Calculate the remainder when f is divided by 5.
3
Let u = 19 + -7. What is the remainder when u is divided by 8?
4
Suppose 0 = 4*n + 1 - 25. Let z be ((-77)/(-33))/((-2)/18). Let v = -10 - z. What is the remainder when v is divided by n?
5
Let u = 36 + -25. What is the remainder when 40 is divided by u?
7
Let s = 44 + -18. Let p(u) = -u**3 - 9*u**2 + 4*u - 10. What is the remainder when p(-10) is divided by s?
24
Let d be (24/15)/((-6)/(-15)). Suppose -3*l + 10 = -d*w - 2*l, 3*l = 2*w. Calculate the remainder when (-1)/(1*w/39) is divided by 5.
3
Let w(l) = -6*l - 10. Let i(u) = -u - 1. Let o(b) = -5*i(b) + w(b). Let y be o(-8). What is the remainder when 12 is divided by (y/(-9))/(2/(-42))?
5
Let d = -8 + -44. What is the remainder when 50 is divided by 1/((-158)/d + -3)?
24
Suppose -4*x - 4*f = 32, 3*x + f + 13 = x. Let b(h) = -h**3 - 6*h**2 - 5*h + 1. What is the remainder when b(x) is divided by 1?
0
Suppose 21*b - 17*b = 136. What is the remainder when b is divided by 7?
6
Let m be (-2)/4*(0 - 4). Suppose m*q - 38 - 56 = 0. Let p = -8 + q. What is the remainder when p is divided by 14?
11
Let t(k) = 4*k**3 - 3*k