et w = v - -16. Let a = 4 - w. Calculate the remainder when 28 is divided by a.
8
Let w = -32 + 51. Suppose -3*m + 10 = -3*s - 32, 4*m - 12 = 0. Let o = w + s. Calculate the remainder when 15 is divided by o.
7
Suppose -3*p - 37 = -2*m, 3*m = -2*p + 3*p + 73. Suppose 4*i - 22 - m = 4*d, -5*i + 4*d + 62 = 0. Calculate the remainder when 38 is divided by i.
10
Let x = -32 - -42. Let s(o) = o**3 + o**2 + o + 18. Let j be 1*1*-2 - -2. What is the remainder when s(j) is divided by x?
8
Let n(u) = 5*u**2 + u - 3. Let r be n(-3). Let f = r + -28. Suppose -b + f = -3*c, -2*b - 7*c + 3*c + 2 = 0. Calculate the remainder when 14 is divided by b.
4
Let w = -5 + 9. Suppose w*n - 6*s + 3*s + 2 = 0, -4*s = -4*n - 4. What is the remainder when 2 is divided by n?
0
Suppose -15 = -2*j - 1. Calculate the remainder when j is divided by (-546)/(-98) - (-4)/(-7).
2
Let s(d) = -d - 2. Let t be s(-6). Calculate the remainder when 37 + 0 + t + -2 is divided by 10.
9
Suppose -5*v = -2*v. Calculate the remainder when 32 + 1 + v + -2 is divided by 11.
9
Let u = -19 - -27. Suppose -4*d = -7*d - 90. What is the remainder when ((-1)/(-2))/((-1)/d) is divided by u?
7
What is the remainder when (272/(-20))/((-2)/5) is divided by 9?
7
Suppose -4*f - 4*i = 0, 0*i + 25 = -5*i. Let y(r) = -r**2 + 6*r - 4. Let j be y(f). Suppose -5*c + j + 24 = 0. Calculate the remainder when 8 is divided by c.
3
Suppose 0*b - 6 = -2*b. Suppose -5*c + 2 = -4*c - 5*k, -2*k - 32 = -b*c. Suppose 0 = -4*v + 75 + 13. Calculate the remainder when v is divided by c.
10
Calculate the remainder when 4/(-14) + (7 - 12/7) is divided by 5.
0
Let s(a) = 2 + 4*a + 0*a - 4. What is the remainder when s(7) is divided by 7?
5
Let d(l) = -l**3 - 6*l**2 - 7*l - 1. Let b(r) = -5*r. Let u be b(1). What is the remainder when 52/6*(5 + -2) is divided by d(u)?
8
Suppose 2*g = -2*g + 12. Suppose g = 2*o - 1. What is the remainder when 35 is divided by (o + -32)*2/(-5)?
11
Suppose 12 = -3*h, -h + 5*h - 119 = -3*q. What is the remainder when q is divided by 23?
22
What is the remainder when (-30)/25*(-530)/4 is divided by 32?
31
Let l(k) = -4*k**3 - 1 + 2 + 1 + k**2. Let r = 9 + -11. What is the remainder when l(r) is divided by 13?
12
Let d = 61 - 26. Let x(c) = 2*c**2. Let o be (3/(-2))/((-8)/(-16)). Calculate the remainder when d is divided by x(o).
17
Suppose 0 = 3*a - 93 - 114. Calculate the remainder when a is divided by 15.
9
Let k = 0 - -4. Suppose w + n = -w - 3, -k*w = 5*n + 9. What is the remainder when 49 is divided by w - 48/(-3) - -2?
15
Let r = -1 + 3. Let d be 0 - (3 + 4/(-4)). Calculate the remainder when (-1 + d)/((-3)/4) is divided by r.
0
Suppose -5*j - a + 5 = -8, -4*j = -4*a - 20. Suppose -6*k = -j*k - 51. Calculate the remainder when k is divided by 9.
8
Suppose 2*o = -2*u + 6 + 30, -3*u + 67 = 4*o. Suppose -6 = -3*p, 5*p = h - 0*h + o. Let k = h + 13. What is the remainder when 28 is divided by k?
8
Suppose -4*w = -4*v - 24, 22 = 5*w + 4*v - 5*v. Suppose 3*k + w = -4*a, 32 = 5*k - 6*a + 3*a. Calculate the remainder when 10 is divided by k.
2
Let j = 93 - 72. Calculate the remainder when 82 is divided by j.
19
Let q be -1 + 2 + (-2 - -3). Suppose -3*a - 5 = -b - a, 2*a = q*b - 20. Let c(l) = 3*l**2 + 6*l - 2. What is the remainder when c(-5) is divided by b?
13
Let y(l) = -5*l + 1. Let b be y(-3). Suppose 4*c - 8 = -3*o - o, -5*c - 3*o = -b. Let u = 28 + -15. What is the remainder when u is divided by c?
3
Let w(n) = 144*n**3 + n**2 - 2*n + 1. Let h be w(1). Suppose 2*m - 168 = -o - 3*o, h = 2*m - 4*o. What is the remainder when m is divided by 20?
18
Suppose -2*w + 26 = 3*o + o, 5*w + 5 = 0. Suppose 2*a - a - 5 = 0, 2*a + 85 = 5*z. What is the remainder when z is divided by o?
5
Let w(x) be the third derivative of -x**4/24 - x**3/6 + 2*x**2. Let y be w(-1). Suppose y*j - j + 9 = 0. Calculate the remainder when 34 is divided by j.
7
Suppose 10 + 66 = -4*c. Let m = c + 36. Calculate the remainder when 49 is divided by m.
15
Let g(v) = -2*v - 2*v - 12 + 0 - 1. What is the remainder when 44 is divided by g(-7)?
14
Let r = -7 - -8. What is the remainder when (21/(-2))/(r/(-2)) is divided by 8?
5
Let s = -6 - -6. Suppose -b + 4*n = -44, s*n - 20 = -b - 2*n. Suppose 0*o + 4*o = -4*v + b, 5*v - 45 = 5*o. Calculate the remainder when 15 is divided by v.
7
Let t = 23 - 12. Let b = -46 - -67. Calculate the remainder when b is divided by t.
10
Calculate the remainder when 4060/36 - (-4)/18 is divided by 29.
26
Let f(z) = z**3 - z**2 - 4*z + 2. Let c be f(4). Suppose 3*j + 0*i - c = -2*i, 0 = 5*j - 5*i - 15. Calculate the remainder when 15 is divided by j.
7
Let b = 41 + -28. What is the remainder when 37 is divided by b?
11
What is the remainder when 3 is divided by (2/4)/((-5)/(-30))?
0
Let k(a) = a**2 + a + 6. Let d be 26/(-8) + (-2)/(-8). Let w(u) = -4*u + 4. Calculate the remainder when k(-8) is divided by w(d).
14
Let j(r) = -r - 4. Let b be j(10). Calculate the remainder when ((-36)/b)/((-6)/(-112)) is divided by 17.
14
Let m = -60 - -72. What is the remainder when m is divided by 7?
5
Suppose 14 = 4*w + 2. Let z(k) = 4*k - 5*k + 0 + w. Calculate the remainder when z(0) is divided by 2.
1
What is the remainder when 6/(-21) + (-909)/(-21) is divided by 23?
20
Suppose 51 = 5*m - 19. Calculate the remainder when m is divided by 12.
2
Let s(z) = -3*z**3 + 3*z**2 + 3*z + 3. Let a be s(3). What is the remainder when a/(-4) + (-5)/(-10) is divided by 7?
4
Let s(w) = w**3 + 6*w**2 - w - 6. Calculate the remainder when 93 is divided by s(-5).
21
Let v(a) = -8*a + 19. What is the remainder when v(-5) is divided by 30?
29
What is the remainder when 85 is divided by 33*(0 - 6/(-9))?
19
Suppose 4*t - 205 = 3*q, 5*q + 206 = 4*t + 3*q. Calculate the remainder when t is divided by 27.
25
Suppose 4*z - 2*z - 18 = 0. Suppose z = 3*x - 42. What is the remainder when 32 is divided by x?
15
Let n(q) = -4*q + 2. What is the remainder when 29 is divided by n(-2)?
9
Suppose -4*k + 3 + 5 = 0. Let r(g) be the second derivative of g**3/6 + 6*g**2 - g. What is the remainder when r(-5) is divided by k?
1
Suppose -19*y = -6*y - 637. Calculate the remainder when y is divided by 25.
24
Suppose 0 = -2*h + 42 + 6. What is the remainder when 71 is divided by h?
23
Suppose -34 = -2*b + 2*q - 3*q, b = 5*q + 28. Suppose -o = -4*f + 33, -5*f + 32 = -4*f - 5*o. Calculate the remainder when b is divided by f.
4
Suppose 2*o + 14 - 36 = 0. What is the remainder when o is divided by 3?
2
Let f be (-188)/4*(1 - 0). What is the remainder when (-9 + 7)*f/2 is divided by 24?
23
Let p(v) = 3*v**2 + 2*v + 1. Calculate the remainder when 4 is divided by p(-1).
0
Let u(z) = -z**3 + 4*z**2 + 3. Let y be 2 - 0/(-3) - 6. Let s(f) = -8*f + 2. Calculate the remainder when s(y) is divided by u(3).
10
Let t = -37 + 63. Calculate the remainder when t is divided by 14.
12
Let c(a) = -2*a**3 - 5*a**2 - 6*a + 6. Calculate the remainder when c(-5) is divided by 41.
38
Let s = 2 - -2. Let w = s + 1. What is the remainder when 9 is divided by w?
4
What is the remainder when 144 is divided by 120/((-16)/(-4)) + (-4)/4?
28
Suppose -4 + 8 = -2*q, -z + 99 = -3*q. Calculate the remainder when z is divided by 16.
13
What is the remainder when (-57)/(-6)*((-4)/2 - -4) is divided by (-117)/(-12) + 2/8?
9
Let u be -3*(-1 - 2/6). Suppose -3*z - 5*n + 110 = 2*z, -73 = -u*z + n. Calculate the remainder when z is divided by 10.
9
Calculate the remainder when 19 is divided by (-18)/45 - (-52)/5.
9
Suppose -67 = -5*f + 108. Suppose 2*a - 30 = -6. Calculate the remainder when f is divided by a.
11
Let v = 6 + -1. Suppose -2*q - 2*r - r = -8, -3*q + v = r. Let o(g) = g - 3. What is the remainder when o(5) is divided by q?
0
Let m(b) = b + 4. Let k be m(2). What is the remainder when ((-9)/6)/(k/(-124)) is divided by 17?
14
Suppose -3*d + 3 = 2*b + b, -4*d = -5*b - 13. Suppose 0 = -2*v - 4*k + 16, 2*k = d*v - 4. What is the remainder when v is divided by 3?
1
Let w(y) = y**3 + y**2 - 4*y. Let i be w(-3). Let d = 3 - i. Calculate the remainder when 26 is divided by d.
8
Let a = -4 + 20. Calculate the remainder when a is divided by (-1 - 0) + 8 - -2.
7
Let z be 2/8 + (-22)/(-8). Let a = z - 3. Suppose -v = -a*v - 7. Calculate the remainder when 20 is divided by v.
6
Suppose -4*t = t -