lculate the remainder when 58 is divided by n.
13
Suppose -5*n = 25 - 70. Suppose 5*u = -w - 0 + n, -3*u = -5*w + 45. Calculate the remainder when 16 is divided by w.
7
Let z be ((-24)/15)/(6/(-15)). Suppose -v = -3*r - 20, -z*v - 1 = r - 42. What is the remainder when 32 is divided by v?
10
Suppose h + 0*h - 4*c + 11 = 0, -5 = -c. What is the remainder when 34 is divided by h?
7
Let b(v) be the second derivative of 0 - v + v**3 + 1/2*v**2. What is the remainder when b(1) is divided by 3?
1
Let j = -15 + 31. Suppose -6*n - 18 = -4*h - 9*n, -2*n = 2*h - 8. What is the remainder when j is divided by h?
4
Suppose -p - 3 + 4 = 3*r, -p + 3 = 4*r. Suppose 35 = 4*c + 6*b - b, 40 = 2*c - r*b. What is the remainder when c is divided by 4?
3
What is the remainder when (7 - 0 - 3)*73/4 is divided by 19?
16
Let j(u) = u**2 - u - 2. Let p be j(3). What is the remainder when 55 is divided by ((-38)/p)/(5/(-10))?
17
Suppose 36 = -5*s - 0*h + 2*h, s = -3*h - 14. Let i be ((-36)/10)/(s/40). What is the remainder when (-2 - -1) + (i - 0) is divided by 6?
5
Let t be (8/5)/((-14)/(-665)). Suppose -20 = 5*k, 2*f + 7*k - 3*k - t = 0. What is the remainder when f is divided by 12?
10
Suppose c - 3 = -o, 0 = -4*o - 2*c + 7 + 13. Let h = o + -3. Calculate the remainder when h is divided by 2.
0
Let q be 1/((-24)/(-21) + -1). Suppose -5 - q = -3*m. Suppose 2*z + 6 = -m, -5*z = 4*p - 39. Calculate the remainder when p is divided by 9.
7
Suppose -42 = -2*j - 0. Suppose -2*r + 19 = -5*s - 8, 0 = s + 3. What is the remainder when j is divided by r?
3
Calculate the remainder when 128 is divided by -18 - -31 - 0/(1 + -3).
11
Let g = 33 + -20. What is the remainder when 49 is divided by g?
10
Let f(k) = k**2 + 47. What is the remainder when f(0) is divided by 24?
23
Suppose 2 = -4*n + 3*t - 2, -12 = -3*t. Suppose -2*v + 62 = 3*y, 15 = n*y + v - 25. Calculate the remainder when ((-6)/(-4))/(18/408) is divided by y.
16
Suppose 2*j - p = 153, 171 = 5*j + p - 201. Calculate the remainder when j is divided by 19.
18
Let w(u) = -u**3 - 6*u**2 + 5*u - 2. Let a be w(-7). Let c = 24 - a. Calculate the remainder when 0 + 1 - 11*-3 is divided by c.
10
Let w(u) = -u**2 + 6*u + 9. Calculate the remainder when 254 is divided by w(4).
16
Suppose 0 = -m + 2*m. Suppose m = -5*t + 13 + 12. Suppose 15 = l - 2*l - 5*h, -l = h - t. Calculate the remainder when 29 is divided by l.
9
Let j = 71 + -60. Calculate the remainder when 75 is divided by j.
9
Let s(q) = -2*q + 1. Let z be s(-1). Let o = z - 1. What is the remainder when 6 is divided by o?
0
Let v(w) = 20*w**2 - 2*w + 1. Let k be v(1). Let t = k + -8. Suppose 0 = -2*r + 3 + t. What is the remainder when r is divided by 4?
3
Suppose 0 = s - 0*s - 3*k - 117, 0 = -4*s + k + 435. Suppose 5*t + 38 = s. What is the remainder when t is divided by 5?
4
Let s = 2 - -1. Suppose 0 = 4*p + 4*a - 96, -61 = -3*p + s*a - 1. Calculate the remainder when 64 is divided by p.
20
Suppose 9 = -4*r + 53. Calculate the remainder when 32 is divided by r.
10
Let o = -33 + 50. Suppose 0*c + 2*w - 200 = -4*c, -c + 41 = -4*w. What is the remainder when c is divided by o?
15
Let j(f) = -f + 1. Let o be j(-1). Suppose 5*l = 4*a + 55 + 33, 0 = o*l - 2*a - 34. What is the remainder when 59 is divided by l?
19
Suppose -4*o + 198 = 5*t, 3*o - 8*o + 252 = 4*t. What is the remainder when o is divided by 14?
10
Suppose 3*d - 45 = -0*d. Suppose 0 = 3*k + 2*k - 285. Calculate the remainder when k is divided by d.
12
Let i(b) = -b**3 + b**2 - b + 59. Let x be (-6)/(-21) + 4/(-14). Let q be i(x). Let d = -30 + q. What is the remainder when d is divided by 10?
9
Let k(a) be the second derivative of 0 - 1/2*a**2 - 1/6*a**3 + a + 1/2*a**4. Calculate the remainder when k(-1) is divided by 4.
2
Let p be ((-2)/(-2))/(1/(-7)). Let h(m) = -m**2 - 7*m + 7. Suppose 3*q = 8*q - 125. What is the remainder when q is divided by h(p)?
4
Let l(h) = -2*h - 14. Calculate the remainder when 11 is divided by l(-9).
3
Suppose -112 = 2*o + 96. What is the remainder when 2/((-316)/o + -3) is divided by 14?
10
Let w = 11 - 7. Let o(u) = 1 + 4 + 5*u**2 - w*u**2 - 7*u. Calculate the remainder when o(7) is divided by 2.
1
Let x = -22 - -8. Suppose h = -3, 4*m - 5*h = 3*m + 18. What is the remainder when (x/(-6))/(m/27) is divided by 11?
10
Let b(w) = -w**3 - 11*w**2 - 8*w - 52. Calculate the remainder when b(-11) is divided by 16.
4
Let h = 5 + -1. Let q be 1/(3/2)*-3. Let g(u) = -u**3 + 2*u**2 + 3*u. Calculate the remainder when g(q) is divided by h.
2
Suppose 2*s - 30 + 4 = 0. What is the remainder when 25 is divided by s?
12
Suppose -580 = -12*g + 2*g. Calculate the remainder when g is divided by 20.
18
Let l(s) = s**3 - 10*s**2 + 2*s + 4. Let a(i) = -i**3 + 7*i**2 + 9*i + 5. Suppose 4*u - 22 = 10. What is the remainder when l(10) is divided by a(u)?
11
Calculate the remainder when 40 is divided by (-62)/(-93)*(0 - -21).
12
Let b(n) = -25*n + 9*n - 6 + 3. What is the remainder when b(-2) is divided by ((-30)/4)/((-42)/56)?
9
Let k(w) be the second derivative of -w**3/2 + 6*w**2 + 4*w. Calculate the remainder when k(-9) is divided by 14.
11
Let l = 25 + -14. What is the remainder when (0 + 3)*(-32)/(-3) is divided by l?
10
Let v(i) = i**3 + 12*i**2 + 5*i. What is the remainder when v(-11) is divided by 17?
15
Let t(z) = z**3 + 5*z**2 + 3*z + 1. Let d = 14 + -18. What is the remainder when 19 is divided by t(d)?
4
What is the remainder when 6 is divided by -1*(2 + 0)/(-1 - 1)?
0
Let h(i) = i**3 - 9*i**2 + 9*i + 2. What is the remainder when 19 is divided by h(8)?
9
Suppose 3*d - 7*d - 20 = 0. Let w = 5 - d. Calculate the remainder when w is divided by 4 - (2 - (1 + 1)).
2
Let s = -19 + 25. Calculate the remainder when 8 is divided by s.
2
Let z(j) = j**3 - 26*j**2 + 31*j - 135. Suppose -11 = -5*x + 9. What is the remainder when z(25) is divided by x?
3
Suppose -3*i = 2*i + b - 218, 4*i = -3*b + 181. Let h = -37 + 23. What is the remainder when i is divided by (-4)/h + (-206)/(-14)?
13
Let b(o) = 27*o - 9*o - 16*o - o**3. Let s be (6/4)/(1/(-2)). What is the remainder when 41 is divided by b(s)?
20
Let u(k) = 1 - 3*k**2 + 3*k + 7*k**2 + 0*k + k**2. What is the remainder when 28 is divided by u(-2)?
13
Let q(r) = -r**2 + 4*r + 2. Suppose -3*v = -3*b - 9, -5*b + 25 = -2*v + 7*v. What is the remainder when 10 is divided by q(v)?
0
Let y = 20 + 0. Let r = 54 - y. Calculate the remainder when r is divided by 12.
10
Let m = -13 - -20. Calculate the remainder when 3*-1 + (27 - (7 - 2)) is divided by m.
5
Suppose 3*d + 2 = -4*g, 2*g + 8 = 5*d - 3*d. Let y = -6 - -27. Calculate the remainder when 1 + g + (-205)/(-5) is divided by y.
19
Let x = 27 - 23. Suppose 0*i - x*q = -i + 38, -5*q + 90 = 5*i. Calculate the remainder when i is divided by 6.
4
Let c = 25 + -17. What is the remainder when 30 is divided by c?
6
Let i = -11 + 18. Suppose -5*o = 2*s - 18, 3*o + 61 = 3*s + 2*o. Calculate the remainder when s is divided by i.
5
Let m = -310 - -178. Let a = 78 + m. What is the remainder when 34 is divided by (20/15)/((-4)/a)?
16
Suppose -2*r - 5 = 7. Let q(s) = s**3 + 7*s**2 + 4*s + 3. Calculate the remainder when (7/3)/(3/36) is divided by q(r).
13
Let m = 23 + -17. What is the remainder when 21 is divided by m?
3
Let v = -51 + 101. Let p be 3/(6/(-2)) + 33. Suppose 3*b - 19 - p = 0. What is the remainder when v is divided by b?
16
Suppose 5*s + z + 2*z = 14, -2*z + 4 = -2*s. Let c = s - -2. What is the remainder when c is divided by 1?
0
Let x(t) be the first derivative of t**3/3 - 7*t**2/2 + 4*t - 1. Let w be x(6). Let v(c) = 2*c**2 + 3*c + 1. What is the remainder when v(w) is divided by 2?
1
Let a(j) = j. Let w be a(3). Suppose -v - w*v = -80. Suppose 0 = -3*c + 4*c - v. Calculate the remainder when c is divided by 7.
6
Let h(s) = -2*s**3 - 2*s**3 + 10 - 7*s**2 + 4*s**3 + s**3. Suppose 7*w = 2*x + 2*w - 29, w + 3 = 0. Calculate the remainder when 29 is divided by h(x).
9
Let v(r) = -r**2 + 5*r + 4. Let k(y) = y + 11. Let d be k(-6). Let n be v(d). Suppose -n*t - 14 + 82 = 0. What is the remainder when 33 is divided by t?
16
Suppose 0 = m - 3*s - 47, -3*s + 2*s = 4*m - 149. What is the remainder when m is divided by 13?
12
What is the remainder when (4 + 10/(-2))*-48 is divided by 17?
14
Calculate the remainder