pose -2*x - x - 5*b + 61 = 0, 2*b + 116 = 4*x. Calculate the remainder when x is divided by 7.
6
Suppose n + d - 14 = -2*d, 5*n = 4*d + 127. What is the remainder when 39 is divided by n?
16
Let l(q) = -91*q**3 + 2*q + 2. What is the remainder when l(-1) is divided by 31?
29
Let a(v) = v**3 - 17*v**2 + 2*v - 24. What is the remainder when 27 is divided by a(17)?
7
Let m(r) be the third derivative of r**5/10 + r**4/24 + 2*r**2. Calculate the remainder when 7 is divided by m(-1).
2
Let w(n) = n**2 + 3*n + 36. What is the remainder when w(11) is divided by 24?
22
Let c = 29 + -15. What is the remainder when 194 is divided by c?
12
Let b = 50 + -43. Calculate the remainder when b is divided by 2/7 - 26/(-7).
3
Let t = 92 - 6. What is the remainder when t is divided by 44?
42
Let z(r) = r + 13. Let h(c) = c**2 - 4*c - 3. Let x be h(5). Let i(m) = m**2 + 1. What is the remainder when z(0) is divided by i(x)?
3
Suppose 4*p - 50 = -p - 3*u, 4*p - 3*u - 13 = 0. Suppose -6*k = -4*b - 2*k + 56, 0 = 3*k + 3. Calculate the remainder when b is divided by p.
6
Suppose -4*k - 5*n + 67 = 0, 15 + 13 = k + 5*n. Calculate the remainder when 25 is divided by k.
12
Let h(d) = -6*d + 5. Let u(q) = -q - 6. Let o be u(-6). Suppose o*x - 10 = -x. What is the remainder when h(-4) is divided by x?
9
Suppose 0 = -3*g + 2*z + 32, g - 5*z - 55 = -4*g. Suppose -j - 53 = -5*j + r, -j + g = 3*r. What is the remainder when 24 is divided by j?
11
Suppose -y + 4*y - 33 = 0. Suppose 4*w = -4*r + 84, -5*w - 66 = -5*r + r. What is the remainder when r is divided by y?
8
Let s(o) = -o**2 - 6*o + 11. What is the remainder when 43 is divided by s(-6)?
10
Let w be 10/5*(-7)/(-2). Suppose 8*c = w*c + 40. What is the remainder when c is divided by 21?
19
Let g = 226 + -121. What is the remainder when g is divided by 27?
24
Let d(z) = z**3 + 10*z**2 + 9*z. Let u be d(-6). Suppose -3*j = 2*j - u. What is the remainder when 70 is divided by j?
16
Let r be -2 + (0 - -2) + 0. Let s be r/((0 - 3)/3). Suppose -6*c + c + 2*o + 216 = 0, -2*c + 3*o + 82 = s. Calculate the remainder when c is divided by 23.
21
Let p(k) = -2*k**3 + k**2 + 2*k + 1. What is the remainder when 31 is divided by p(-2)?
14
Let g(b) = -73*b**3 + b**2. Let s be g(-1). What is the remainder when 1 - (-3)/(6/s) is divided by -13*(0 - 2 - -1)?
12
What is the remainder when 14 is divided by (-6)/4 - (189/(-6))/7?
2
Suppose -67 = -4*p + 5. Let y = -13 - -18. Suppose 103 + 47 = 4*n - 5*q, -n + 45 = -y*q. Calculate the remainder when n is divided by p.
17
Suppose 3*c - 33 - 12 = 0. Let k(p) = -15*p + 17. Let f(x) = -4*x + 4. Let d(u) = 26*f(u) - 6*k(u). What is the remainder when d(-3) is divided by c?
14
Let i be (-11)/2*10/(-5). Let w(n) = -n**3 + 12*n**2 - 9*n - 4. What is the remainder when 34 is divided by w(i)?
16
Suppose 4*x - 2*g - 36 = 0, -6*x = -3*x + 2*g - 13. Let v = 2 - 4. Calculate the remainder when (-2)/(v*(-2)/(-40)) is divided by x.
6
Let w(o) = o + 8. Let k = -190 - -193. Calculate the remainder when k is divided by w(-6).
1
Suppose 0 = 4*o - 11*o + 189. What is the remainder when 77 is divided by o?
23
Let b(u) = -u**3 - 6*u**2 + 3*u - 10. Let p be b(-7). What is the remainder when 64 is divided by 18/81 - (-392)/p?
20
Let m = -9 + 18. What is the remainder when 11 is divided by m?
2
Let d = -9 - -13. Suppose u - d*m = 5*u - 184, 2*u = m + 98. Suppose -2*l - 2*h + u = h, l - 26 = -2*h. What is the remainder when 52 is divided by l?
16
Suppose 3*u - b = -23, 4*u + b + 7 = -12. Let w = -11 + 28. Calculate the remainder when w is divided by (2/u)/((-1)/27).
8
Suppose 5*b + 66 = 2*r - 103, -2*b = -4*r + 298. Suppose 2*y - r = 6*y. What is the remainder when 23 is divided by (-4)/y - 350/(-45)?
7
Suppose -3*y - 1 = -7. What is the remainder when ((-3)/4)/(3/(-144)) is divided by (4/(-4))/(y/(-38))?
17
Let u(n) = n**2 - 5*n - 2. Let v be u(6). Calculate the remainder when 48 is divided by (54/v - 1)*2.
23
Suppose -7*z = -3*z + 5*s - 15, 3*z - 5*s = 55. Suppose 32 = p - 6. Let c = p + -10. Calculate the remainder when c is divided by z.
8
Let a(f) = -4*f + 5. Let v(s) = -s**2 + s + 15. What is the remainder when a(-6) is divided by v(0)?
14
Calculate the remainder when 9 is divided by 5/(-30)*-2 - (-34)/6.
3
Suppose -17*l - 5*l + 22 = 0. Suppose -1 + 3 = 2*i. Calculate the remainder when i is divided by l.
0
Let k = 120 - 48. What is the remainder when k is divided by 22?
6
Let n(k) = -5*k + 1. Let i(r) = -r**3 - 8*r**2 - 2*r - 2. What is the remainder when n(-5) is divided by i(-8)?
12
Suppose -3*r + 280 = 2*r. Suppose -3*o + 4*o = r. Let j = -31 + o. What is the remainder when j is divided by 9?
7
Suppose -3*l + 2 - 23 = -5*c, -4*c + 28 = -4*l. Let j(m) = m**3 + 7*m**2 - 2*m - 8. Calculate the remainder when 17 is divided by j(l).
5
Let p(u) = 45*u - 2. Let s be p(2). Suppose 3*g = -g + s. Suppose -2*b = 4*c - 6*c - 84, -b + g = 3*c. What is the remainder when b is divided by 19?
18
Suppose 0 = 5*v - 7*d + 5*d - 100, v - 3*d = 7. Suppose 0 = -k - 24 + 88. What is the remainder when k is divided by v?
20
Let j(i) = 15*i - 36. Calculate the remainder when j(6) is divided by 11.
10
Let g(z) = -2*z + 4. Let d be g(-9). Let t = d - 5. What is the remainder when 84 is divided by t?
16
Calculate the remainder when -3*2/(-4)*(-128)/(-12) is divided by 13.
3
Let m(z) = -z**3 - 11*z**2 + 10*z + 8. Calculate the remainder when m(-12) is divided by 17.
15
Let r = -14 - -20. Calculate the remainder when 9 is divided by r.
3
Let x be ((-5)/15)/(2/12). Let k(u) = 5*u**2 + 2*u + 1. Calculate the remainder when 48 is divided by k(x).
14
Let k = 9 - 0. Let a(f) = f**2 + 14*f + 4. Calculate the remainder when k is divided by a(-14).
1
Let g(p) = p**2 - 3*p + 10. Let j = 4 + 11. What is the remainder when g(6) is divided by j?
13
Suppose -2 = x - 2*x. Suppose 12 = 3*a, -x*n - 3*a + 23 = -n. Calculate the remainder when n is divided by (-3)/6 - 9/(-2).
3
Let c(v) = 7*v**2 - v - 2. What is the remainder when c(-1) is divided by 4?
2
Suppose 2*s = k - 1, -2*s + 3*k = -1 - 0. Calculate the remainder when (-7)/7 + 14/2 is divided by -2 + (3 + 2 - s).
2
Let g = -9 + 43. Suppose -3 = -4*q - 5*m, m - 5*m - 6 = 2*q. Calculate the remainder when g is divided by q.
6
Let o(v) = -v**3 + 2 - 4*v - v**3 + v**3 - 5*v**2. Let g(z) = z**3 + 3*z**2 + z - 2. Let a be g(-3). What is the remainder when o(a) is divided by 12?
10
Let y(m) be the third derivative of -m**4/12 - m**3/6 + m**2. Let g be (-2)/(-6) - (-56)/(-6). What is the remainder when 50 is divided by y(g)?
16
Suppose -4 = 2*n, 0 = y - 2*y + 4*n + 19. Let x = 55 - 24. What is the remainder when x is divided by y?
9
Let q = -4 + 6. Suppose -3*r = 3, 3*h - 4*r - 80 = -2*r. Let v = h - 19. Calculate the remainder when v is divided by q.
1
What is the remainder when 57 is divided by (-102)/(-5) + 10/(-25)?
17
Let u = 7 - -2. Let v be 4/(-6) - (-3)/(-9). What is the remainder when 8 - -24 - v/1 is divided by u?
6
Let a = 5 - -9. Let o(s) = s**3 - 12*s**2 - 26*s - 3. Calculate the remainder when o(14) is divided by a.
11
Suppose -w + 16 = 3*w. Suppose 0 = q - 4*d - 6 - 10, 5*d - 25 = -q. Let f = q + -10. What is the remainder when f is divided by w?
2
Let w = 49 - 12. Let t = -3 + 3. Suppose 0 = -t*n - 4*n + 76. What is the remainder when w is divided by n?
18
Let b(y) = -y**3 + 6*y**2 - 2*y - 8. What is the remainder when b(5) is divided by 3?
1
Let a(p) = -p + 4*p + p**2 - 1 - 2*p + 9*p**3. Calculate the remainder when 18 is divided by a(1).
8
Suppose -5 = -0*b - b. Suppose -b*m + 18 = -22. What is the remainder when 42/(-8)*(-16)/6 is divided by m?
6
Let c = -44 - -76. Calculate the remainder when c is divided by 11.
10
Let i(p) = p**3 + 15*p**2 - 15*p + 18. What is the remainder when 9 is divided by i(-16)?
1
Let t(c) be the second derivative of c**4/12 - c**3 + c**2 - c. Let g be t(8). Suppose 0*d + 2*d = g. Calculate the remainder when 16 is divided by d.
7
Suppose 5*x = 3*x + 4. Suppose 56 = x*d + 14. What is the remainder when 81 is divided by d?
18
Suppose 20*y - 749 = 13*y. What is the remainder when y is divided by 28?
23
Suppose -v - i + 17 = -2*v, v + 5*i - 13 = 0. What is the remainder when 10 is divided by (-1)/((-1)/v*-2)?
4
Let q = -6 - -25. Suppose p - 52 = 5*u, 2*u + 4*p - 2*p