 11/2 + (-1)/n is divided by 4.
2
Suppose -17*h = -8*h - 243. What is the remainder when 65 is divided by h?
11
Let o = -3 + 12. Calculate the remainder when 14 is divided by o.
5
Suppose 0 = 4*m - m. Suppose 0 = 2*u + 2*u - 8. Suppose 2*j - u*d + 3*d - 20 = 0, 4*j - 2*d - 48 = m. Calculate the remainder when 20 is divided by j.
9
Let w = -2 - -8. Let a(m) = -m + 8. What is the remainder when 3 is divided by a(w)?
1
Suppose 0 = 4*n + 3*w - 72, 5*n - w = -22 + 112. Let s = 72 - 39. Calculate the remainder when s is divided by n.
15
Suppose -2*d + 11 + 1 = 0. Let k be (10/15)/(4/(-6)). Calculate the remainder when (1*-5)/(k/2) is divided by d.
4
Suppose -57 = 19*d - 22*d. Calculate the remainder when 74 is divided by d.
17
Let m = 21 - 10. Let n = -93 - -49. Let f = n + 75. Calculate the remainder when f is divided by m.
9
Suppose t - 1 = -5*k, 4*t - 4 = k - 5*k. Let b(d) = d - 1. Let j be b(-7). What is the remainder when 15 is divided by (j + 4)/(t/(-2))?
7
Suppose -45 = 8*a - 11*a. Calculate the remainder when a is divided by 6.
3
Suppose 12 = -5*o + 57. Let n(m) = -5*m + 1. What is the remainder when n(-5) is divided by o?
8
Let u(f) = -f + 15. Let b be u(15). Suppose g + 0*g - 45 = b. Calculate the remainder when g is divided by 16.
13
Suppose -4*u + 71 - 3 = 0. What is the remainder when 65 is divided by u?
14
What is the remainder when (84/4)/(3/2) is divided by (-1 - -3)*(-10)/(-4)?
4
Let h be (0 + -2)*46/(-4). Let t = h + -7. What is the remainder when t is divided by 26/3 - (-2)/6?
7
What is the remainder when (-3)/(-2)*-1*(-42)/3 is divided by 8?
5
Suppose -2*b + 7 = -3*b + f, 4*b + 5*f = 17. Calculate the remainder when (-29)/(-3 - (b - 0)) is divided by 16.
13
Let v(t) = t**3 + 3*t**2 - 4*t + 2. Let n(p) = p**2 - 5*p - 3. Let c be n(3). Calculate the remainder when 13/3 - 6/c is divided by v(-4).
1
Let f(v) = v**3 - v**2 + 27. What is the remainder when 105 is divided by f(0)?
24
Suppose 4*q = -d + 176, 34 = q + 3*d + 1. What is the remainder when q is divided by 24?
21
Let i be (2 + -9)*(-24)/(-14). Suppose 5*g = 3*g + 14. What is the remainder when 12/((-20)/i + -1) is divided by g?
4
Suppose c - 29 = -17. What is the remainder when 68*(5/2 - 2) is divided by c?
10
Let k(b) be the first derivative of -b**2 + 2. Suppose 5*x - 5*r = -40, -2*r - 34 = 3*x - 10. What is the remainder when k(x) is divided by 6?
4
Let r(s) be the first derivative of s**3/3 - 5*s**2/2 - 4*s - 3. Let y = -5 - -10. Calculate the remainder when y is divided by r(6).
1
Suppose -4*d - 5*s = -98, -5*d - 2*s + 11 = -103. What is the remainder when 86 is divided by d?
20
Suppose -p + 3*y = -2*p + 2, 25 = 4*p - 5*y. Suppose 7*g - 4*g = 0. Suppose 2*a = 5*a - i - 44, g = a + i - 8. Calculate the remainder when a is divided by p.
3
Suppose 5*g - 83 - 17 = 0. Let w(h) = -9*h + 2. Let c be w(4). Let b = c + 72. Calculate the remainder when b is divided by g.
18
Let y = -8 + 39. Suppose 5*j - 2*g - 91 = 0, -j + 4*j = 5*g + 66. What is the remainder when y is divided by j?
14
Let z(m) = m**2 - 9*m + 12. Suppose -2 - 9 = -l. What is the remainder when l is divided by z(8)?
3
Let o be (1 + 1)*(-2)/(-4). Let y = 13 - o. What is the remainder when 34 is divided by y?
10
Suppose 3*f = 5*a - 11, -5*f + 0 = 5*a - 35. Suppose -t - f = -4*t. Calculate the remainder when (t + 0)/((-1)/(-19)) is divided by 10.
9
Suppose 3*z + 0*z = -12. Let c(j) = -2*j - 6. What is the remainder when 9 is divided by c(z)?
1
Suppose -2*b + 5*b - 5*q = -15, 0 = 5*b - 4*q + 12. Let r = 0 + b. Suppose r*p + 6 = 3*p. What is the remainder when 7 is divided by p?
1
Let u = -9 + 18. Suppose -2*m - u = -3*m. Let w(f) = 2*f**2 + 10*f - 3. What is the remainder when w(-7) is divided by m?
7
Suppose -f + 1 + 3 = 0. Suppose -12 - 14 = -3*g - f*o, -g + 10 = 2*o. What is the remainder when 17 is divided by g?
5
Let l = 0 - -10. Calculate the remainder when 29 is divided by l.
9
Suppose 0 = -5*b + 4*s + 37, -4*s = -3*b + 7 + 12. What is the remainder when b is divided by 5/2*(-1 - -3)?
4
Suppose 0 = -2*w - h + 16, w - 4*h - 18 = -2*h. Suppose w = 3*z - z. Suppose n + 16 = z*n. Calculate the remainder when 10 is divided by n.
2
Let x(m) = -m**2 + 3*m + 3. Let n be x(3). Suppose 14 = 3*j - 28. What is the remainder when j is divided by (-2)/n + (-14)/(-3)?
2
Let h = 96 + -74. Let c(o) = -5*o + 1. What is the remainder when h is divided by c(-1)?
4
Suppose 0 = -5*p + 14 + 6. Let c = -18 + 29. What is the remainder when c is divided by p?
3
Let p(i) = 2*i**2 - 8*i + 6. Calculate the remainder when p(6) is divided by 8.
6
Let q be (1/3)/((-1)/(-12)). Suppose -198 = -3*w + 3*d, w = -3*w - q*d + 264. What is the remainder when w is divided by 17?
15
Let t = 2 + 5. What is the remainder when 6 is divided by 8/12 + t/3?
0
Let v(k) be the second derivative of k**5/20 + 5*k**4/12 + k**3/6 - k**2/2 - 3*k. What is the remainder when 16 is divided by v(-2)?
7
Let j = -4 + 3. Let v(h) = 13*h**2 + h. Let k be v(j). What is the remainder when 124/k - 4/(-6) is divided by 6?
5
Let o = -5 + 21. Calculate the remainder when 62 is divided by o.
14
What is the remainder when 5 is divided by (-24)/18*12/(-8)?
1
Let y(u) = 2*u**2 - 2*u - 3. Let i be -3*(-1 - (3 - 3)). What is the remainder when (30/(-8))/(2/(-8)) is divided by y(i)?
6
Suppose 0 = 5*c - 74 - 6. What is the remainder when 157 is divided by c?
13
Suppose 0 = -0*u + u - 5. What is the remainder when 20 is divided by u?
0
Suppose s - 44 = -2*r - 3*s, 2*r + 2*s - 36 = 0. Calculate the remainder when r is divided by 9.
5
Let m(c) = c**3 - 8*c**2 + 3*c - 10. Let u be (-3 - -10)/((-2)/(-2)). Let q be m(u). Let y = -19 - q. Calculate the remainder when 36 is divided by y.
17
Suppose -2*f + 60 = 3*f. What is the remainder when 3 + (0 - (-31 + 3)) - -2 is divided by f?
9
Suppose 2*r + 2*l - 6 = 0, 7 + 4 = -3*r + l. Calculate the remainder when 6/(-9) + 68/3 is divided by ((-12)/(-15))/(r/(-20)).
6
Let t be -2*2*-1 - 1. Suppose 0 = -t*q + q + 28. Let n(p) = -p**2 + 13*p - 9. Calculate the remainder when n(9) is divided by q.
13
Calculate the remainder when 73 is divided by (-6 - -9)/(2/10*1).
13
What is the remainder when 20 is divided by ((-6)/5)/(3/(-20))?
4
Let q = -149 - -96. Suppose -d + 5*o + 5 - 60 = 0, 0 = -3*d - 2*o - 97. Let u = d - q. What is the remainder when 35 is divided by u?
17
Let u(q) = -2*q**2 - 3*q + 1. Let d be u(2). Let v = d + 22. What is the remainder when v is divided by 5?
4
Let h(a) = a + 20. What is the remainder when 16 is divided by h(-12)?
0
Let w(q) = 9*q**2 + 3*q - 1. Let z be w(4). Suppose n = -4*n + z. Let h = 68 - n. Calculate the remainder when h is divided by 10.
7
Let i = -13 - -28. Suppose -9*n - i = -14*n. Suppose -8 = -2*z + 8. What is the remainder when z is divided by n?
2
Let v = 23 + -15. Calculate the remainder when 30 is divided by v.
6
Let b be ((189 - 0)/3)/1. What is the remainder when (0 + -10)*b/(-14) is divided by 23?
22
Suppose 0*r - 9 = -4*t + r, 4*r = t - 6. Let n = 1 + t. Let k(j) = j**3 - 10*j**2 - 23*j - 1. Calculate the remainder when k(12) is divided by n.
2
Let i = -30 + 9. Let j be (-7)/i - 46/(-6). Suppose -a + j = -0*a. Calculate the remainder when 14 is divided by a.
6
Let v(o) = -2*o**2 - 3*o + 4. Let h be v(-3). Let a(u) = 2*u**2 + 7*u + 1. What is the remainder when a(h) is divided by 6?
4
Suppose r + 3*r = 4*y - 60, 2*y + 2*r - 10 = 0. Calculate the remainder when 47 is divided by y.
7
Suppose 3*q + 5 = 4*q. Suppose 0 = -q*c - 67 + 22. Calculate the remainder when 23 is divided by 2/(-6) - 111/c.
11
Calculate the remainder when 131 is divided by (-16)/56 + 233/7.
32
Suppose h + 23 = f, 4*f - 34 - 70 = h. What is the remainder when f is divided by 7?
6
What is the remainder when 32 is divided by (-3 - -4) + -3 - -9?
4
Suppose -r - 38 = -3*r. Let m(y) be the first derivative of 9*y**2/2 + 1. Calculate the remainder when m(4) is divided by r.
17
Let g(d) = -d**3 + 2*d + 1. Let i be g(-1). Suppose i = -2*b + 10, t + 0*t - 29 = -3*b. Calculate the remainder when 53 is divided by t.
11
Let h be 1/(-2 + -1)*-3. Let w be h/3*(0 + -3). What is the remainder when 20 is divided by -1 - 2*4*w?
6
Let z(f) = 15*f**3 + 2*f - 1. Let s be z(1). Let o = s - 6. Calculate the remainder when 18 is divided by o.
8
Let m(r) = -8