en (-10)/(-3)*d/(-4) is divided by 7.
4
Let b(d) = d**3 - 6*d**2 - 3. Let k be b(6). Let m = k + 8. Suppose -4*f + 31 = -m. Calculate the remainder when 16 is divided by f.
7
Let k(t) = -2*t**3 + 19*t**2 + 15*t - 13. Calculate the remainder when k(10) is divided by 13.
11
Let t = 184 - 160. What is the remainder when t is divided by 9?
6
Let o(y) = -y**2 + 8*y + 2. Let n(f) = f + f - 2 + 6 - f. What is the remainder when o(4) is divided by n(6)?
8
Suppose -2 = -5*v + 63. Let s = -6 + v. Calculate the remainder when s is divided by 5.
2
Suppose 2*u + 2 - 6 = 0. Suppose -1 = u*m - 5. Suppose 0 = 4*a - 3*a - m. What is the remainder when 5 is divided by a?
1
Suppose 2 = 2*f - 10. Let n(c) be the third derivative of -c**5/60 + 5*c**4/12 - 4*c**3/3 + 3*c**2. Calculate the remainder when n(6) is divided by f.
4
Let a be 1/((-20)/(-6) + -3). Suppose -a*n + d + 4*d = -36, 2*d + 79 = 5*n. What is the remainder when 48 is divided by n?
14
Calculate the remainder when ((50/(-15))/(-10))/(1/66) is divided by 14.
8
Let c(f) = 4*f**2 + 2*f**2 + 2*f**2 - 2*f - 1. Let y be c(-1). Let v = y + 1. What is the remainder when 19 is divided by v?
9
Calculate the remainder when 12 is divided by -8*2*(-4)/8.
4
Let a = -5 - 1. Calculate the remainder when 31 is divided by 3/(9/a) + 11.
4
Suppose -25 + 56 = b. Calculate the remainder when b is divided by 7.
3
Suppose -4*f = 7*c - 3*c - 32, 4*f + 2*c = 38. What is the remainder when 30 is divided by f?
8
Let b(r) = -16*r**3 - 2*r**2 - 3*r - 2. Let q = -19 + 18. Calculate the remainder when b(q) is divided by 9.
6
Suppose -4*g - 3*k + 13 = -132, -5*k = 2*g - 83. Suppose -9*i = 4*b - 5*i - 32, 4*i = 3*b - 31. What is the remainder when g is divided by b?
7
Let w = 86 + -32. Suppose -2 = -2*j - 10, 0 = 4*m + j - 72. What is the remainder when w is divided by m?
16
Suppose 34 = 5*t - 66. What is the remainder when ((-116)/5)/(16/(-40)) is divided by t?
18
Let s = 36 - 7. Calculate the remainder when 86 is divided by s.
28
Let w = 0 + 3. Suppose 0 = d + w - 6. Calculate the remainder when d is divided by 2.
1
Suppose -4*w = w - 105. Calculate the remainder when w is divided by 12.
9
Let r(y) = y + 19. Calculate the remainder when r(0) is divided by 11.
8
Suppose -17*y + 22*y = 5. Let n = 1 + 0. What is the remainder when y is divided by n?
0
Let h = 15 + -11. Suppose -5 = k + 5*z, 2*k = -0*z + h*z + 32. Let y(w) = w**2 - 5*w - 10. What is the remainder when k is divided by y(7)?
2
Let p(s) = 2*s**2 + 6*s + 5. Let r be p(-4). Let h(v) = v**2 - 2. Let m be h(2). Suppose r + 7 = m*z. Calculate the remainder when 18 is divided by z.
8
Suppose -5*b = -3*a + 22, 2*a - 5*b - 13 = -0*a. What is the remainder when 25 is divided by a?
7
Suppose -4*h = -702 - 90. Calculate the remainder when 41 is divided by h/(-12)*4/(-6).
8
Calculate the remainder when 35 is divided by (-81)/(-6)*(-8)/(-12).
8
Let q be 6 - -3*6/9. Suppose -4*z + 2*h + 2 = -q, 3*z - 25 = -2*h. What is the remainder when z is divided by (-4)/5*(-10)/4?
1
Suppose 0 = -3*s - 2*i + 44, 44 = 5*s - i - 25. Suppose 2*z - 69 = -15. Calculate the remainder when z is divided by s.
13
Suppose -5*k - 2*g + 0*g + 36 = 0, 4*g - 24 = -4*k. Calculate the remainder when k is divided by ((-3)/(-2))/(2/4).
2
Let v = -4 + 10. Suppose 0 = 6*s - 3*s + 6, -2*h - s = -4. What is the remainder when v is divided by h?
0
Let l = 1 + 3. Suppose 11 = l*u - 25. Calculate the remainder when 17 is divided by u.
8
Suppose 16 + 4 = 4*t. What is the remainder when 13 is divided by t?
3
Let a(g) = -g**2 - 12*g + 1. Let x be a(-12). What is the remainder when 14/21*(x - -110) is divided by 19?
17
Let u = -91 - -150. Calculate the remainder when u is divided by 17.
8
Suppose -n + 17 = -17. Calculate the remainder when 64 is divided by n.
30
Suppose 0 = -6*b + 16*b - 140. Calculate the remainder when b is divided by 8.
6
Let h(k) = -k**3 + 7*k**2 - 4*k + 3. Let y = -7 + 16. Calculate the remainder when h(6) is divided by y.
6
Suppose 14 = 8*g - 7*g. Suppose 0*h + 2*h = g. Calculate the remainder when h is divided by 5.
2
Suppose 2*x = -x - 6. Calculate the remainder when (0 - (-5)/20) + (-366)/(-8) is divided by 48/x*(-2)/4.
10
Let u = -2 + 8. Let w(n) = 4*n - 2. What is the remainder when w(u) is divided by 9 + (-2)/2 - 0?
6
Suppose -2*i + 2*n + 68 = 0, -4*i - 2*n + 117 = -i. Let w = 46 + -52. Let m = i + w. What is the remainder when m is divided by 16?
15
Let i = 5 + 7. Let o(w) = -w**3 + 4*w**2 - w - 2. Let r be o(3). Suppose -5*x + 1 = b - 7, -5*x = -r*b + 107. What is the remainder when b is divided by i?
11
Let y(w) = -w**2 - 17*w - 14. Suppose 0*v + 4*v = 180. Calculate the remainder when v is divided by y(-15).
13
What is the remainder when (2 + -5)/(-1)*(-658)/(-42) is divided by 12?
11
Suppose p - 6*p + 210 = 0. Let g be (-4)/(-2) + -1 + 3. What is the remainder when p is divided by (g/10)/((-3)/(-165))?
20
Let b be (4/(-10))/((-5)/50). Let r be (10/(-3))/((-4)/6). Suppose -2*g = b*h - 18, r*g + 4*h + 0*h = 69. Calculate the remainder when g is divided by 9.
8
Suppose -4*t = -3*t - 26. Suppose -3*j = 4*s - t, 5*j - 2 = -s - 4. What is the remainder when s is divided by 3?
2
Let g(m) = 4*m**2 - 6*m**2 - 7*m + 3*m**2 + 1. Let k be g(7). What is the remainder when 8 is divided by -6*1*k/(-2)?
2
Suppose -4*q + 3*w = -108, 5*q - 2*w = -w + 135. What is the remainder when 52 is divided by q?
25
What is the remainder when (5 + 25/3)*(-3)/(-1) is divided by 6?
4
Suppose -2*l + 4 + 1 = -3*y, -y = -l + 5. Let r(o) = o**2 + 2*o - 7. Calculate the remainder when r(-7) is divided by l.
8
Let s = 20 + -9. Let z(l) = l**3 + 6*l**2 - l - 3. What is the remainder when s is divided by z(-6)?
2
Let w be 440/(-6)*(-2 + -1). Suppose -5*q = -0*q - w. What is the remainder when q is divided by 23?
21
Calculate the remainder when 27 is divided by (1 - -2)/((-5)/(-25)).
12
Suppose 0 = 4*c - 5*j + 4*j - 270, 5*j = -10. What is the remainder when c is divided by 23?
21
Let s = -1 - 1. Let p(w) = 5*w**2 + w. What is the remainder when p(s) is divided by 10?
8
Let d(u) = 2*u**2 + 1. Calculate the remainder when d(-1) is divided by 1.
0
Suppose -5*a = -10*a + 70. Calculate the remainder when 26 is divided by a.
12
Let z(d) = d**2 + 4*d + 2. What is the remainder when 65 is divided by z(4)?
31
Let f be ((-18)/(-8))/((-7)/(-56)). Suppose 5*q - 3*q = f. What is the remainder when 33 is divided by q?
6
Calculate the remainder when (3/(-2))/((18/(-424))/3) is divided by 18.
16
Suppose 4*d - 7 = -5*z, -5*d + 24 = -3*z + 6. What is the remainder when d is divided by 2?
1
Suppose f + 17 = 2*f. Calculate the remainder when f is divided by (0 + -5)/(2*(-1)/2).
2
Let k(y) = -y**2 + y - 4. Let d be k(0). Calculate the remainder when (d + -1)*(3 + -4) is divided by 3.
2
Suppose -3*z = 2*x - 76, -x - 2*x = 5*z - 125. What is the remainder when z is divided by 6?
4
Let k(q) = 3*q + 1. Let r be k(-2). Let h be (0/(-2))/(r + 7). What is the remainder when 8 is divided by (h - 4/(-2)) + 1?
2
Let b = -1 - -4. Suppose -4*o = -11*o + 42. Calculate the remainder when o is divided by b.
0
Let p = -9 - -95. What is the remainder when p is divided by 18?
14
Let q be 4 + -54 - (1 + -1). Let m = q - -75. Calculate the remainder when 47 is divided by m.
22
Let b = 11 - 31. What is the remainder when 3 - 1 - b/2 is divided by 7?
5
Let d be ((-1 - -1) + 1)*96. Suppose -5*y + d = -y. What is the remainder when y is divided by ((-26)/(-8))/(2/8)?
11
Suppose 0 = -h + 26 + 11. What is the remainder when h is divided by 10?
7
Let j(p) = -11*p. Suppose -3*s - 2*f = -28, 5*f - f = -16. Calculate the remainder when j(-2) is divided by s.
10
Suppose 27 = h + 7. Calculate the remainder when 57 is divided by h.
17
Let d = 3 - -20. Suppose 0 = -4*r + 73 + d. Calculate the remainder when r is divided by 13.
11
What is the remainder when 14/14 - (0 + 1)*-77 is divided by 4?
2
Suppose 4*t - 44 = 2*h - 4*h, -4*h + t + 61 = 0. Suppose -3*d + 22 = c, -5*c - 7 = -27. What is the remainder when h is divided by d?
4
Let k(a) = a**3 + 6*a**2 + 4*a + 10. What is the remainder when k(-4) is divided by 8?
2
Let m(b) = -5*b + 6. Let t = -10 + -3. Let u = t + 24. Calculate the remainder when m(-5) is divided by u.
9
Calculate the remainder when 41 is divided by 30 + (-4 + 10 