- 47. Let m = -11 + o. What is the remainder when 23 is divided by m?
11
Let n = -10 + 37. Calculate the remainder when 104 is divided by n.
23
Let s(g) = -g**2 + 5*g - 3. Let z be s(3). Suppose -3*m + 24 = z*m. What is the remainder when 7 is divided by m?
3
Suppose -26 = -2*t - 3*w, -5*w - 21 = -3*t - 1. Let i = 49 + -21. What is the remainder when i is divided by t?
8
Suppose -3*y + 131 = -5*b - 90, -59 = -y - 2*b. Calculate the remainder when y is divided by 7.
4
Let d = 365 - 163. What is the remainder when d is divided by 34?
32
Suppose -b - s - 12 = 0, -23 - 46 = 5*b - 4*s. Let y = 29 + b. Suppose -39 - 24 = -f. Calculate the remainder when f is divided by y.
15
Let w(p) = -4*p**3 + 83*p**2 + 20*p + 36. Let y = -16 + 22. Calculate the remainder when w(21) is divided by y.
3
Suppose -b - 2 = -6. Let o = b - 4. Suppose o = -2*r + 1 + 1. What is the remainder when r is divided by 1?
0
What is the remainder when 1/(-3) - 568/(-12) is divided by 10?
7
Suppose -h + 14 = -0*h. Let d = 6 + -5. Let m = 42 - d. What is the remainder when m is divided by h?
13
Let h(w) = -w**2 + 10*w - 10. Let g be h(8). Let n(k) = -k**3 + 5*k**2 + 7*k + 1. What is the remainder when 11 is divided by n(g)?
4
Let m = -20 + 24. Calculate the remainder when m is divided by 3.
1
Let y(i) = i**2 - 10*i + 24. Calculate the remainder when 7 is divided by y(7).
1
Let w = 7 + -7. Suppose 3*x + 3*k - 177 = 0, 5*x - 6*k + k - 295 = w. Suppose 5*c - 111 + 11 = 0. Calculate the remainder when x is divided by c.
19
Suppose 0 = 14*f - 12*f - 52. Let d = -5 + 8. Suppose 2*i - 27 = d*q, -2*q = 5 + 1. What is the remainder when f is divided by i?
8
Suppose 0 = 3*g + 2*g - 60. Calculate the remainder when 33 is divided by g.
9
Suppose -3*f = 4*t - 334, -87 = -t - 0*t + f. Calculate the remainder when t is divided by 29.
27
Suppose 3*w + 4*d - 100 = -2*w, 0 = 2*d. Let v = -116 + 59. What is the remainder when v*(-2)/6*2 is divided by w?
18
What is the remainder when (-21*6/3)/((-6)/4) is divided by 10?
8
Calculate the remainder when 18 is divided by -10*(-5)/20 + (-1)/(-2).
0
Let l(f) = f**2 + 7*f - 6. Let y be l(-8). Suppose y*w - 4*w = -22. Calculate the remainder when 32 is divided by w.
10
Suppose -86 = -15*y + 319. Calculate the remainder when 72 is divided by y.
18
Let j(i) = 18*i - 6. What is the remainder when j(4) is divided by (-652)/(-28) + (10/14 - 1)?
20
Suppose -3*x + 119 = i, 4*x = i + 150 + 4. Calculate the remainder when x is divided by 8.
7
Calculate the remainder when (-2)/4 + 1 + (-274)/(-4) is divided by 25.
19
Suppose 0 = -3*b + 2*b + 20. Suppose 3*n - b = 22. Calculate the remainder when 39 is divided by n.
11
Let c(b) = -67*b - 11. Let z be c(-8). Suppose -5*t = -10*t + z. Calculate the remainder when t is divided by 27.
24
Let x(b) be the second derivative of -b**4/12 - 2*b**3/3 + b**2 + 6*b. Suppose -t = -6*t - 20. Calculate the remainder when 6 is divided by x(t).
0
Suppose 204 = u + u. Suppose 6*j - 3*j = -3*n + u, 12 = 3*j. Suppose -2*f + n = v - 7*f, v + 4*f + 15 = 0. Calculate the remainder when 19 is divided by v.
4
Let t = 2 + 14. What is the remainder when 127 is divided by t?
15
Suppose -3*d + 1 + 2 = 0. Suppose c - 2 = 0, -4*c + 22 + 3 = m. What is the remainder when m is divided by (d - 1/(-4))*4?
2
Let k(h) = h**2 - 3*h. Let l be k(3). Suppose 4*z - 2*j + l*j + 594 = 0, -609 = 4*z + 3*j. What is the remainder when (4/(-12))/(2/z) is divided by 9?
7
Let q(o) = o**2 - 7*o + 8. What is the remainder when q(-6) is divided by 23?
17
Suppose -4*t + 84 = -t. Suppose -4*o - 4 = 0, o = 2*u - 8 - 13. What is the remainder when t is divided by u?
8
Let r be 4*((-13)/4 + -1). Let n = -9 - r. Let g(z) = 15*z - 1. What is the remainder when g(1) is divided by n?
6
Let g(w) = -w**2 - 12*w + 6. Let d be g(-9). Let u = -19 + d. Calculate the remainder when 26 is divided by u.
12
Let q = -49 - -31. Suppose 29 = 2*z - 33. Calculate the remainder when z is divided by q/(-81) + 194/18.
9
Let i(p) = 2*p**2 + 28*p**3 - p - 27*p**3 + 2 + 0*p**2. Let u be i(-3). Calculate the remainder when (-405)/(-21) + u/14 is divided by 10.
9
Suppose -5*g - 44 = -3*m, -2*g = 4*m - g - 28. Calculate the remainder when 18 is divided by m.
2
Let q(u) be the first derivative of u**4/4 - 8*u**3/3 + 5*u**2 - 6*u - 2. Calculate the remainder when 27 is divided by q(7).
12
Suppose 5*g - 130 = -z, -4*z - z = 4*g - 125. Let h = g - 5. Calculate the remainder when 0 - 2*-1 - -56 is divided by h.
18
Suppose -45 = -3*v - 3. What is the remainder when 41 is divided by v?
13
Suppose 0 = -0*j - 2*j + 28. Calculate the remainder when 41 is divided by j.
13
Let i(z) = 5*z - 5. Let b be (-32)/(-6) - 1/3. Calculate the remainder when 39 is divided by i(b).
19
Let x(r) = -r + 4. Let u be x(0). What is the remainder when (-11)/4*u/(-1) is divided by 4?
3
Suppose 0 = -2*t - 5*f + 6, -5*f = -3*t - 2*t + 50. What is the remainder when 30 is divided by t?
6
Let b(h) = h**2 + 5*h - 5. Let y be b(-8). What is the remainder when (y/(-1) - -1)*-1 is divided by (-10)/(2 - 0 - 3)?
8
Let s be (1 + 0)*1/1. Let y be (1 - -5)/(s - -1). Calculate the remainder when 165/6 - y/6 is divided by 10.
7
Suppose -r + 260 = 5*f, 0 = f + 3*r - 19 - 19. What is the remainder when f is divided by 28?
25
Suppose 2*c - 288 = -c. Calculate the remainder when c is divided by 25.
21
Suppose -5*y + 325 = 5*b, 4*b - 16 = y - 81. What is the remainder when y is divided by 17?
14
Let o = -87 + 129. Calculate the remainder when o is divided by 9.
6
Suppose 0 = -a - 0*a + 47. What is the remainder when a is divided by 12?
11
Suppose 19 = 17*q - 16*q. Let d = 2 + -11. Let t = d - -46. What is the remainder when t is divided by q?
18
Let j(f) = 2*f**2 + f + 1. Let u(b) = -b**2 + 6*b - 4. Let k be u(6). Calculate the remainder when j(k) is divided by 8.
5
Let u be 5 + (-1)/((-1)/(-1)). Suppose 0 = 4*i + d - 14, 2*d - 1 - 11 = -u*i. Suppose 0 = -8*m + 6*m + 6. Calculate the remainder when i is divided by m.
1
Let x = 0 + 3. Suppose x = -2*u + 3*u. Suppose u*i = -2*i + 25. What is the remainder when i is divided by 2?
1
Suppose 0*t - 4*w - 24 = -4*t, -4 = t - 3*w. Calculate the remainder when t is divided by ((-4)/2)/((-4)/8).
3
Let a(j) = -17*j**3 - 2*j**2 - 2*j. Calculate the remainder when 30 is divided by a(-1).
13
Let i = 1 + 1. Suppose i = 2*c - 4. Calculate the remainder when 12 is divided by c.
0
What is the remainder when 45 is divided by (-1 - 44/28)/((-9)/42)?
9
Let f(r) = -r**3 + 5*r**2 - r - 4. Let x be 394/7 - (-14)/(-49). Suppose 5*p - x = p. Calculate the remainder when p is divided by f(4).
6
Let s(h) = -h**2 + 12*h - 3. Let j be s(8). Suppose 4*f - 2*z = -j + 121, -5*f + 2*z = -114. Suppose 5*m - 31 = 9. What is the remainder when f is divided by m?
6
Let c(l) = l**2 + 5*l + 4. Let s be c(-6). Let g(u) = -u**3 + 11*u**2 - 5*u - 13. Calculate the remainder when g(s) is divided by (-1)/(37/19 + -2).
18
Let v = 8 - 2. Let f(u) = -u**3 - 2*u**2 + 5*u - 2. Calculate the remainder when f(-4) is divided by v.
4
Let l = -42 - -75. Suppose 2*s = -s + l. Calculate the remainder when 31 is divided by s.
9
Suppose 0 = -c + 5*z - 11, -4*c = 5*z - 2*z + 21. Let v = -7 - -26. What is the remainder when v is divided by 3/c + 30/4?
5
Let t(g) = 4*g**2 - 23*g - 9. Calculate the remainder when 77 is divided by t(7).
25
Suppose 4*t = -0*g - 4*g + 572, 5*t - 25 = 0. What is the remainder when g is divided by 35?
33
Suppose -40 = -17*d + 12*d. Calculate the remainder when 14 - (3 - (-2)/(-1)) is divided by d.
5
Let p(k) = -k**2 - k + 4. Let b be p(0). Suppose -3*r - 12 = b*m - 211, -2*m = -5*r + 323. What is the remainder when r is divided by 17?
14
Let x(s) = 9*s**2 - 6*s + 13. What is the remainder when 142 is divided by x(2)?
31
Let w = -2 - -6. Let y = 4 - w. Suppose -k + 2*f + 18 = 0, 3*k + k - 2*f - 42 = y. What is the remainder when k is divided by 5?
3
Let s = -31 + 55. Calculate the remainder when s is divided by 13.
11
Suppose 5*t - 92 = 2*t - 2*p, 2*t - 58 = 2*p. What is the remainder when 117 is divided by t?
27
Let c = -47 - -11. Let v = 55 + c. What is the remainder when v is divided by 10?
9
Let a be (-1 + 124)/3 + 1. Suppose 3*q - a = -3*m, -6 = -2*m - 0. Calculate the remainder when 32 is divided by q.
10
Let y(d) = -3*d - 5. Wha