What is the remainder when 4 is divided by d?
1
Suppose -22 = s - 5*u, -4*s - 4*u = -36 + 4. Let d be (3/s)/(2/4). Calculate the remainder when 9 is divided by ((-10)/(-4))/(1/d).
4
Let a be 28/8 - (-3)/(-2). Suppose 3*p - a*z = 20, 4*z = p - 0*z. Calculate the remainder when p is divided by 4.
0
Let o = -94 + 102. Calculate the remainder when o is divided by 1.
0
Let s(j) = -j**3 + 9*j**2 - 9*j + 10. Let a be s(8). Suppose 5*z = -0*v - a*v + 85, -3*z + 42 = 3*v. Calculate the remainder when z is divided by 10.
9
Let i(w) = w**3 - 6*w**2 + 6*w - 2. Let x be i(5). Suppose -x*l + 18 = -0*l. Calculate the remainder when 21 is divided by l.
3
Let k(c) = c - 1. Let b be k(1). Suppose b = -4*x - 5*f - 3, 8*x - 4*f = 3*x - 14. What is the remainder when ((-6)/9)/(x/12) is divided by 3?
1
Suppose 5*w + 15 = -5. Calculate the remainder when 79*(-2 + -1 - w) is divided by 20.
19
Let z = 2 + -6. Let h be (102/(-9))/(z/6). Let b = h + -4. Calculate the remainder when b is divided by 5.
3
Let i(o) = -1 + o**2 - 5*o + 2 - 2*o**2. What is the remainder when (-100)/(-55) + (-2)/(-11) is divided by i(-5)?
0
Let u = 126 - 21. What is the remainder when u is divided by 27?
24
Suppose 0 = -2*h + 124 - 28. Let y be 1/((-1)/(-5) + 0). Suppose y*i + 3 = h. Calculate the remainder when 17 is divided by i.
8
Suppose 2*y - 5*n - 33 = -2*y, 4*y = n + 13. Calculate the remainder when 2*(4/10 - 33/(-30)) is divided by y.
1
Let g(h) = -h**2 + 5*h - 4. Let b be g(4). What is the remainder when 3 is divided by b - 4/(2/(-1))?
1
Let o = 7 - 4. Suppose o*n - 6 = 36. What is the remainder when n is divided by 5?
4
Let b(n) = -n**2 + 6*n - 6. Suppose 5*a + 6 - 46 = 0. What is the remainder when 9/(-12)*a/(-2) is divided by b(4)?
1
Let h(n) = 2*n**2 - 3*n + 2. Let v(r) = r**2. What is the remainder when h(1) is divided by v(-1)?
0
Suppose 4 = -0*l - 2*l. Suppose -4*u - x + 78 = -34, -u = -5*x - 49. What is the remainder when u is divided by (-29)/(-2) + (-1)/l?
14
Let r = 5 + 18. Calculate the remainder when r is divided by 4 + ((-3)/3 - -9).
11
Suppose 5*q - 50 = 3*w, 3*q - q = 5*w + 39. Suppose 3 + q = 2*b. Calculate the remainder when 12 is divided by b.
2
Suppose -3*w = 2*j - 18, 4*j + w = 8*j - 50. Calculate the remainder when j is divided by 4.
0
Let a(h) = -4*h + 7. Let p = 34 - 18. Calculate the remainder when a(-6) is divided by p.
15
Suppose 1 + 14 = 5*o. What is the remainder when o is divided by 1?
0
Suppose -4*q = -4 - 0. What is the remainder when 31 is divided by 13 + (0 - q) + 5?
14
Suppose -31 = -5*d + 2*c, 3*c + 2*c = -15. Calculate the remainder when (4/5)/((-13)/(-260)) is divided by d.
1
Suppose -10*x + 9*x + 11 = 0. Calculate the remainder when (3 - 2) + 29*1 is divided by x.
8
Calculate the remainder when 22/(-33)*(-78)/4 is divided by 5.
3
What is the remainder when 11 is divided by (5 + -10 + 4)/((-2)/12)?
5
Let z = 0 - -10. Suppose -5*p + 56 = 2*o, p - 8 = -p. Calculate the remainder when o is divided by z.
8
Suppose 4*i - 159 = -27. What is the remainder when i is divided by 9?
6
What is the remainder when 110 is divided by (8/3)/(12/126)?
26
Suppose 7 = 3*w - 2. Suppose -21 = -9*v + 6*v. Calculate the remainder when v is divided by w.
1
Let q(i) = 2*i**3 - 5*i**2 + 5*i - 2. Calculate the remainder when 64 is divided by q(3).
20
Suppose -7*o = -0*o - 28. Calculate the remainder when 8 is divided by o.
0
Let n = -3 - -5. Suppose 3*g + 22 = n*v, 6 = -2*v - 3*g + 4. Suppose -z + 3*d - 80 = -v*z, 5*z - 123 = 2*d. Calculate the remainder when z is divided by 8.
7
Let c = 6 + 1. Let u(v) = 2*v + 10. Calculate the remainder when u(c) is divided by 9.
6
Suppose -3*d + 23 = -4*d. Let x be 2*(d/(-2) + 0). Let j = 34 - x. What is the remainder when j is divided by 4?
3
Suppose 0 = 5*x - 3*b - 137, -5*x + 8*b - 3*b = -145. Calculate the remainder when 148 is divided by x.
23
Suppose -p - 1 = -3*a + 4, -5*a + 7 = -3*p. Let h = 3 + -2. Calculate the remainder when 1 is divided by a/h + 1/(-1).
0
Let t(v) = 5*v - 12. Let c be 2/1*(-26)/(-4). Calculate the remainder when t(c) is divided by 18.
17
Let x be 3 - ((-20)/(-1))/4. Calculate the remainder when 18 is divided by (-16)/(8/x) - -3.
4
Let u = -10 + 7. Let n = 9 + u. What is the remainder when 11 is divided by n?
5
What is the remainder when 174 is divided by (-20)/3*(-12)/5?
14
Let p be 1/1*(-4 + 4). Let m = p + 9. What is the remainder when -2 + 18*1 + 0 is divided by m?
7
Suppose 8 = 3*f - 4. What is the remainder when 31 is divided by f?
3
Let h = -8 - -2. Let c(b) = -b**3 - 5*b**2 + 3*b + 2. What is the remainder when c(h) is divided by 7?
6
Suppose 6*y - 3*y - 15 = 0. Let x = y - -42. Suppose 2*u + 0*u - 32 = 0. What is the remainder when x is divided by u?
15
Let z(m) be the second derivative of m**4/12 + 2*m**3/3 - 9*m**2/2 + m. What is the remainder when 33 is divided by z(-7)?
9
Suppose 6*j + 84 = 2*j. Let c = 37 + j. Let f = -16 - -46. Calculate the remainder when f is divided by c.
14
Suppose w - 15 = -2*w. Let u = w - 1. What is the remainder when 7 is divided by u?
3
Let w = -61 - -66. Calculate the remainder when (0 - 0)/3 - -12 is divided by w.
2
Suppose 2*b - 6 = -b. What is the remainder when 4 is divided by b?
0
Suppose -2*h + 0*h = 5*a - 8, -5*h + 20 = 0. Let x be (a - -4) + (-3 - -1). Calculate the remainder when 20 is divided by -22*x*3/(-12).
9
Let l = 377 - 249. Calculate the remainder when l is divided by 44.
40
Let d(j) = j**2 - 5*j + 11. Let m be d(8). Suppose 0 = 4*z - m - 65. Calculate the remainder when 47 is divided by z.
22
Let f be ((-2)/2)/(1/(-2)). What is the remainder when (1 - f) + 2 - -48 is divided by 17?
15
Suppose 0 = 4*r - 8 - 8. Suppose -26 = -r*b + 3*b. What is the remainder when b is divided by 9?
8
Suppose -5*a + 190 = -7*m + 9*m, -4*a = 5*m - 135. Calculate the remainder when 113 is divided by a.
33
Let v(z) = z**2 + 14*z - 21. Let k be (-1*2)/(2/(-5)). Suppose 8 = k*a - 97. What is the remainder when a is divided by v(-16)?
10
Let d = 2 - 2. Suppose -17 = -y - w - d*w, w = -4*y + 62. Calculate the remainder when y is divided by 9.
6
Suppose n - 25 = q, 0 = 4*n - q - 4 - 93. What is the remainder when 44 is divided by n?
20
Let v be (-10)/4*4/(-2). Suppose -4*c + 2*p - 20 = -0*p, -v*p = -c - 23. Let a = 6 + c. Calculate the remainder when 5 is divided by a.
2
Suppose -5 = 4*d - 5*h, -4*h + 0*h = -20. Suppose -d*k + 0*k = -10. Suppose -5*u - 4*n + 1 = -0, -u + 4*n = -5. What is the remainder when k is divided by u?
0
Let u = 15 - 0. Suppose 2*z - 3*v = -6*v + 95, 4*z - 163 = 3*v. Suppose -2*o = f - z, 44 - 173 = -3*f + 5*o. What is the remainder when f is divided by u?
13
Suppose 2 + 0 = j. Suppose 5*h + 16 = 2*f + j*h, -4*h = -8. Calculate the remainder when 31 is divided by f.
9
Suppose f - 1 + 4 = 0. Let j = 1 - f. Suppose -y + j = -g, -5*y - g + 14 = -12. What is the remainder when 9 is divided by y?
4
Suppose 3*w + d = -3*d + 2, 14 = 5*w + 4*d. Suppose 0 = -4*v + w + 6. What is the remainder when 4 is divided by v?
1
Suppose -3 + 69 = 2*c + 2*u, 4*c - 144 = 2*u. Calculate the remainder when c is divided by 18.
17
What is the remainder when 23 is divided by (6/(-15))/(3 - 76/25)?
3
Let s(h) = h**2 - 15*h + 16. Let d(u) = -11*u + 6. Calculate the remainder when d(-5) is divided by s(15).
13
Suppose 3*d + 3*j = -12, j - 6 = 3*d + 6*j. Let z = d - -18. Calculate the remainder when (0 - -28) + 0 - -3 is divided by z.
9
Let s(u) be the third derivative of -u**6/120 - 7*u**5/60 - u**4/8 - u**3/3 + 4*u**2. What is the remainder when 56 is divided by s(-7)?
18
Suppose f = 11*f - 130. Calculate the remainder when 181 is divided by f.
12
Let f(i) = i**3 - 2*i + 5. Calculate the remainder when 48 is divided by f(3).
22
Suppose 7 + 2 = h. Let w(i) = -2*i**2 - 3*i - 52. Let x(m) = 3*m**2 + 5*m + 78. Let j(r) = -8*w(r) - 5*x(r). What is the remainder when j(0) is divided by h?
8
Suppose 2*o - 5*w + 1 = -10, 5*o - 22 = -4*w. Suppose 9 = o*q - 23. What is the remainder when 63 is divided by q?
15
Suppose -2*j - a + 2 = 0, 3*a - 2 = -5*j + 1. What is the remainder when 9 is divided by j?
0
Suppose 3*f - 54 = -3. What is the remainder when -51*(2 + -3) - (2 + 0) is divided by f?
15
Suppose -y = 3 - 1, -3*y - 110 = 4*p. Let l = p - -28. What is the remainder when l is divided by