by k.
4
What is the remainder when 30 is divided by 12/18*27/2?
3
Let j = 4 + -3. Calculate the remainder when 2 is divided by j.
0
Let i(r) = -31*r**3 + r**2 - 1. Suppose 0 = -3*s - 5*z + 107 + 169, -2*z = 0. Calculate the remainder when s is divided by i(-1).
30
Suppose 0 = y - 1 + 15. Suppose -2*n + 21 = -19. Let h = y + n. Calculate the remainder when h is divided by 3.
0
What is the remainder when 132/726 - (3934/(-22) - 0) is divided by 9?
8
Let f = -11 - -16. Suppose -2*w - 5*s + s = -30, -4*w + f*s = 5. Suppose w*r - 19 = 86. Calculate the remainder when 40 is divided by r.
19
Let i = -71 + 49. Calculate the remainder when ((-12)/(-3))/((-4)/i) is divided by 8.
6
Suppose 0 = p - 4*j + 4, 0*j = j. Let i = -12 - p. Let m(o) = -2*o + 8. What is the remainder when m(i) is divided by 13?
11
Let g = -25 - -38. Suppose 2*j = 2*u - 4*u + 12, 5*j + 4*u - 29 = 0. Calculate the remainder when g is divided by j.
3
Let b(r) = -r**2 - 9*r - 3. Suppose -u - 4*d = -14, 3*d = -0*u - 4*u - 9. What is the remainder when 57 is divided by b(u)?
12
Let l(q) = 5*q**3 - 2*q**2 + q. Let y be l(1). Suppose 0 = s - 3*a - 2 - y, -2*a + 24 = 4*s. Let v = 6 - 2. Calculate the remainder when s is divided by v.
2
Suppose 3*u = -u + 8. Let n = u - -3. What is the remainder when 9 is divided by n?
4
Suppose -m = -3*m + 2*i + 30, -25 = -3*m - i. Let z = m + -7. Suppose -z*q + 32 = -q. Calculate the remainder when q is divided by 6.
4
Suppose -2*u = u - 108. Let j be (100/6)/(3/18). Suppose -g = -5*f - 0*g + j, 0 = f - 3*g - 34. Calculate the remainder when u is divided by f.
17
Let z(d) = -2*d - 12. What is the remainder when 9 is divided by z(-9)?
3
Let o(y) = -3*y**2 + 4*y**2 - y + 2*y. What is the remainder when 16 is divided by o(-3)?
4
Suppose -2*t + 60 = -128. Let g(u) = -u**3 - 7*u**2 + 4*u. What is the remainder when t is divided by g(-8)?
30
Let l be ((-11)/(-3))/(5/45). Suppose 0 = 2*s - 1 - l. Suppose 2*o = -3*o + 45. What is the remainder when s is divided by o?
8
Suppose -3*u + 12 = -0*u - 2*g, 5*g = 2*u + 3. Calculate the remainder when 9 is divided by u.
3
Suppose -12 = -4*c, -2*c - 66 = -3*u - c. What is the remainder when 43 is divided by u?
20
What is the remainder when 15 is divided by (33/11)/((-3)/(-4))?
3
What is the remainder when (-3)/(-6) - 5/((-20)/418) is divided by 18?
15
Suppose 0*t + 2*t = 28. What is the remainder when 111 is divided by t?
13
Suppose 4*d = -3*n + 35, 3 = 2*d - 4*n + 13. What is the remainder when 12 is divided by d?
2
Suppose 3*z = -5*g + 72, 2*g = 3*g - 5*z + 8. Calculate the remainder when g is divided by 5.
2
Suppose -i - 2*i - 51 = 0. Let q = -12 - i. Calculate the remainder when 19 is divided by q.
4
Let s(n) = -n**3 + 8*n**2 - 3*n + 5. What is the remainder when s(7) is divided by 12?
9
Let h(i) = -i**3 - i**2 + 2. Let y be h(0). Suppose 0 = 4*r - y - 6. Calculate the remainder when 531/21 - r/7 is divided by 13.
12
Let g = -144 - -206. Calculate the remainder when g is divided by 16.
14
Let f(r) = 17*r**2 - 2*r - 1. Calculate the remainder when ((-2)/4)/(5/(-530)) is divided by f(-1).
17
Calculate the remainder when (-207)/(-6)*(-8)/(-12) is divided by 13.
10
Suppose 4*c = 4*q - 119 - 1, -c = q + 32. Let b = 54 + c. Let u(m) = 2*m**2 - 5*m - 4. Calculate the remainder when b is divided by u(4).
7
Suppose 3*n = 4*l - 23, -l - 3*n = -2 - 0. Suppose -78 = -4*z - o, -l*z = -0*z - 3*o - 89. Suppose -8 = -3*r + 13. What is the remainder when z is divided by r?
5
Let o be (-4)/((-10)/4 - -3). Let m be (-238)/(-5) - o/20. Suppose m = -3*v + 150. Calculate the remainder when v is divided by 18.
16
Let k(i) = 2*i + 4. Let s be k(-4). Let z(b) = -3*b + 7. Calculate the remainder when 54 is divided by z(s).
16
Suppose -2*c + 61 = -3*n, 0*c + 5*n + 20 = c. What is the remainder when c is divided by (1 + -4 - -21)*(0 - -1)?
17
Suppose 0 = -u - 4*u - 5*d + 100, 79 = 4*u + 5*d. Let l = 4 - 12. Calculate the remainder when u is divided by ((-22)/l)/(3/12).
10
Let t = 11 - -6. What is the remainder when t is divided by 6?
5
Let l = 84 + -34. What is the remainder when l is divided by 18?
14
What is the remainder when (-6)/12 + (-58)/(-4) is divided by 6?
2
Suppose 45 = -5*h + 255. Calculate the remainder when h is divided by 9.
6
Suppose 0 = 10*l - 15*l + 5. Calculate the remainder when 21 is divided by l*(1 + -17)/(-2).
5
Let j(l) be the second derivative of l**5/20 - 2*l**4/3 + 3*l**3/2 + 9*l**2/2 + 9*l. What is the remainder when j(7) is divided by 8?
7
Let f(v) = -v**3 - 4*v**2 - 5*v + 2. Let g = 17 - 1. Suppose 2*w + g = -2*w. Calculate the remainder when 43 is divided by f(w).
21
Suppose -4*h + 10 = -2*h - 4*w, 0 = -w. Let v be (-3)/(45/(-96))*h. Let y = -9 + v. What is the remainder when y is divided by 8?
7
Suppose 7*v = 2*v + 90. What is the remainder when 250 is divided by v?
16
Suppose u + 1 = -2*f, -5*u = -4*f - 0*f - 65. Let n(x) = x**3 - x**2 - x + 2. What is the remainder when u is divided by n(2)?
1
Let h(n) = n**3 + 7*n**2 - 3*n + 3. Calculate the remainder when h(-7) is divided by 13.
11
Let k be 10/(-6) + (-6)/18. What is the remainder when 20 is divided by ((-4)/(-12))/(k/(-42))?
6
Let l(g) = 4*g - g**3 + 0 - 3 - 2*g - g**2 + 0. What is the remainder when l(-3) is divided by 3?
0
Calculate the remainder when 172 is divided by ((-98)/21)/((-6)/45).
32
Suppose 4*q - 25 = 3*i + 29, i + 2 = 0. Let k = 4 + 3. What is the remainder when q is divided by k?
5
Suppose 0 = -v + 4*n + 17, 56 = -v + 5*v - 4*n. Calculate the remainder when 18/12*2*8 is divided by v.
11
Let t(s) = -2*s**3 - s**2 - 5*s - 9. Let k(j) = -j**3 - 2*j**2 - 5*j - 8. Let l(m) = -3*k(m) + 2*t(m). What is the remainder when l(5) is divided by 4?
2
Calculate the remainder when (-5)/((-60)/(-387))*16/(-6) is divided by 15.
11
Let m(g) = 5*g + 18. Calculate the remainder when 73 is divided by m(4).
35
Suppose 71 = -5*t - s, 4*t - 2*s = 2*t - 38. Let w(a) = a**3 + 8*a**2 + 6*a - 2. Calculate the remainder when w(-6) is divided by 10/(-3)*54/t.
10
Let f(y) = y**3 - 6*y**2 - y + 8. Let s be f(6). Suppose -3*u + n + 65 = 5*n, 50 = 4*u - s*n. Calculate the remainder when u is divided by 6.
3
Let g be 2/(-4) - (-11)/2. Let v be 2/15 + (-22)/165. Suppose v*a - 30 = -g*a. What is the remainder when 17 is divided by a?
5
Suppose 3 = -3*c, 4*c = -3*q - c + 28. Calculate the remainder when 30 is divided by q.
8
Let l(v) = 3*v + 36. What is the remainder when l(21) is divided by 34?
31
Let j = 61 - 38. Calculate the remainder when 89 is divided by j.
20
Calculate the remainder when (100/(-12))/((-2)/6) is divided by 9.
7
Suppose 5*y - 9*y + 24 = 0. What is the remainder when 47 is divided by y?
5
Let q = -53 + 25. Calculate the remainder when (1 - 2) + (-5 - q) is divided by 12.
10
Let g(k) be the third derivative of 2*k**2 + 0*k + 7/24*k**4 + 0 - 1/2*k**3. Calculate the remainder when g(6) is divided by 10.
9
Let k be ((-90)/(-63))/(1/7). Let w = 5 + k. Calculate the remainder when w is divided by 8.
7
Let b(j) = -2*j + 2. Let t be 2*(-2)/4 - 5. What is the remainder when 40 is divided by b(t)?
12
Let p be 16/6 - (-4)/(-6). Suppose 2*x + 10 = -5*n, -4*x - 6 = p*n + 30. Calculate the remainder when 426/15 + 4/x is divided by 10.
8
Let w(d) = d**2 - 11*d - 10. Let y be 4/(-6) + 64/6. Let c = y - 7. What is the remainder when c is divided by w(12)?
1
Suppose 0 = -5*i + 216 - 1. Let v(m) = -23*m - 6. What is the remainder when v(-2) is divided by (-2)/6 - i/(-3)?
12
Let m = 76 - 40. What is the remainder when m is divided by 20?
16
Calculate the remainder when 64 is divided by 2/(-3) - (-795)/45.
13
Suppose u - 36 = -3*b - 0*b, 4*b = -3*u + 53. Let t = b - 6. Calculate the remainder when t is divided by 3.
2
Let x(y) = y**2 + y - 1. Suppose 0 = -k + 2, 6 = -3*r + k - 8. What is the remainder when x(r) is divided by 7?
4
Let h = 3 + 1. Let i be ((-54)/12)/(2/h). What is the remainder when 14 is divided by 2*(1 - i/3)?
6
Calculate the remainder when 57 is divided by 1 + 21 + -3 - -1.
17
Let i be -2 - (-116 + 2/(-2)). Suppose 0*s + 133 = 5*y + s, -5*y + 5*s + i = 0. Suppose 5*z - 9 = 4*z. What is the remainder when y is divided by z?
8
Suppose 39 - 8 = k. Suppose s - 15 = -2*m - 5, -12 = -2*s + 4*m. Calculate the remainder when k is divided by s.
7
Let i(n) = 2*n**2 - n