.
5
Let f = 0 + 5. Suppose 5*x = -5*i + 175, -f*i + i = x - 20. What is the remainder when x is divided by 1/(3 - 123/42)?
12
Let j = 2 + -1. Suppose -3*s + 0*x + 21 = 4*x, -4*x + 27 = 5*s. Calculate the remainder when (s - 1)/((-6)/(-9)) is divided by j.
0
Let p = 30 - 20. Calculate the remainder when p is divided by 6.
4
Let l = 2 - 2. Let m(y) = -y**2 + y + 8. Let u = 27 - 22. Calculate the remainder when m(l) is divided by u.
3
Let j be ((-6)/6)/((-1)/26). Let r = -9 + j. Suppose -2*x = -6 - 12. Calculate the remainder when r is divided by x.
8
Let m = -21 - -16. Let g = m + 15. What is the remainder when g is divided by (-1)/4 - 17/(-4)?
2
Let j = -18 + 22. Suppose j*b - 17 - 47 = 0. Suppose -3*o - 3*m = -24, 4*o - 31 = -2*m - 3*m. Calculate the remainder when b is divided by o.
7
Let w = 41 + -68. Let h = -13 - w. Calculate the remainder when 40 is divided by h.
12
Suppose 6*x - x - 50 = 0. Let q = 24 - x. What is the remainder when -12*(27/(-12))/1 is divided by q?
13
Let l(z) = -3*z - 1. Let g(d) = d. Let n(y) = -4*g(y) - l(y). Let f be n(0). Let p(t) = 4*t. Calculate the remainder when 10 is divided by p(f).
2
Let x(i) be the first derivative of i**4/4 + 7*i**3/3 - 4*i**2 + 3*i + 1. Calculate the remainder when 4 is divided by x(-8).
1
Suppose -5*s - 4*z = -458, 0 = 10*s - 14*s - 5*z + 370. Let m(i) = 2*i**2 - i - 5. What is the remainder when s is divided by m(-4)?
28
What is the remainder when ((-5)/2)/(3/(-66)) is divided by 29?
26
Let h = -7 - -50. Suppose 0*u = u - h. Let y(b) = -b**3 + b**2 + 15. Calculate the remainder when u is divided by y(0).
13
Suppose -134 = 4*o + 3*x, 2*o - x = -67 + 5. Let f = o - -55. What is the remainder when f is divided by 5*2 + (4 - 2)?
11
Calculate the remainder when 270/4 + (-21)/(-14) is divided by 24.
21
What is the remainder when ((-2)/6)/((-1)/141) is divided by 12?
11
Let a = -51 - -94. Let m be 395/45 + (-4)/(-18). Let u(i) = i + 13. Calculate the remainder when a is divided by u(m).
21
Suppose 0 = -t - 4 + 1. Let g = 5 + t. Suppose -3*u + 3*f + 30 - 3 = 0, g*f = -3*u + 7. What is the remainder when 7 is divided by u?
2
Suppose 0 = 4*n + 3*h + 2*h - 196, -2*n - 5*h + 88 = 0. What is the remainder when 215 is divided by n?
53
Suppose 4*y - 35 = 3*q, 0 = 3*q - q - 6. What is the remainder when 32 is divided by y?
10
Let o(j) = 3*j**2 - 3*j - 15. Calculate the remainder when o(-5) is divided by 13.
10
Suppose -17 + 5 = -4*j. Let t = 24 - -32. Suppose j*i + i - t = 0. What is the remainder when 41 is divided by i?
13
Suppose -3*y + 3*r + 366 = 0, 2*r - 7*r - 356 = -3*y. Let m be y/2 - 2/(-4). Let t = m - 44. What is the remainder when 58 is divided by t?
18
What is the remainder when 15 is divided by (-80)/(-10)*(3 + -2)?
7
Let u(h) = 8*h - 1. Suppose r - 11 - 33 = -5*o, 0 = -5*r + 2*o + 139. What is the remainder when r is divided by u(2)?
14
Suppose -4 = 2*f - 14. What is the remainder when (-444)/(-36) + 4/6 is divided by f?
3
Suppose 33 = 4*l - 7. Let o(i) = -i**3 + i**2. Let t be o(-2). Let y = t + -8. Calculate the remainder when l is divided by y.
2
Let f be 177*((-4)/(-3))/2. Suppose -2*v + f = -4*x - 0*x, -5*v + 2*x + 255 = 0. What is the remainder when v is divided by 17?
15
Let y(h) = -h - 2. Suppose -4*q = 20, 0*l + 8 = 3*l + 2*q. Let f be y(l). Let v = f - -17. Calculate the remainder when 17 is divided by v.
8
Let w(y) = -y**3 + 4*y**2 + 6*y - 7. Let x be w(5). What is the remainder when 2 is divided by 3 - (x + 0 - -3)?
0
Let s(h) = 4*h + 1. Calculate the remainder when s(3) is divided by (3/(-6) - 1)*(-30)/9.
3
Suppose -4*b + 186 = 5*v, -4*v + 6*v - 56 = 3*b. Let m = -27 + 39. What is the remainder when v is divided by m?
10
What is the remainder when 65 is divided by -1*((-45)/(-6) - 2)*-2?
10
Let n = 74 + -20. Calculate the remainder when n is divided by 21.
12
Let d(w) = -2*w - 6. Let z = -15 - -5. Let g = z + 21. Calculate the remainder when g is divided by d(-6).
5
Let q be 0 + 9 + -1 + 2. Suppose -q = -4*t + 46. What is the remainder when t is divided by 15/3 - (-1 - -1)?
4
Suppose 3*k - 30 - 54 = -5*g, g = k + 12. Calculate the remainder when 57 is divided by g.
12
Let j(m) = 2*m**3 - 4*m**2 + 2*m - 4. Calculate the remainder when j(3) is divided by ((-1)/(-2))/((-9)/(-126)).
6
Suppose -4*h = -3*f - 0*h + 30, -5*f + h + 33 = 0. Let k be (0/(-1))/(12/f). Suppose 4*m - 9 + 1 = k. Calculate the remainder when 4 is divided by m.
0
Let y(r) = r**3 + 24*r**2 + 22*r - 8. What is the remainder when 101 is divided by y(-23)?
11
Suppose -5*s + 3*s + 8 = 0. Let a = s + -3. What is the remainder when -5*a*(-36)/15 is divided by 7?
5
Let b(h) = 2*h**2 + 3*h. Let a be b(-2). What is the remainder when -2 - 102/(-3) - a is divided by 16?
14
Suppose 100 = 5*d - 4*a, 0*d - 67 = -3*d + a. Suppose -3*t + 7*t = d. What is the remainder when 15 is divided by t?
3
Suppose -10 = -2*s - 3*n, 14 = -0*s + 3*s + 4*n. Let f(o) = 6*o**2 - 3*o + 2. Calculate the remainder when f(s) is divided by 7.
6
Let v = 6 - -6. Suppose -5*c = l - 2*l + v, 2*l + 5*c - 39 = 0. Calculate the remainder when 50 is divided by l.
16
Let w(f) = 3*f + 2. Let u = 22 - 12. Calculate the remainder when w(u) is divided by 17.
15
Suppose 0 = -5*f + 51 + 29. Let w = -2 + f. Calculate the remainder when 39 is divided by w.
11
Suppose 0 = 7*n - 396 + 144. What is the remainder when n is divided by 19?
17
Suppose 193 = 2*s + 2*l - l, -3*l - 510 = -5*s. What is the remainder when s is divided by 10?
9
Suppose 0 = h - 0*h - 5*g + 10, 2*g + 50 = 4*h. Suppose -2*t + 5*t = h. Calculate the remainder when 17 is divided by t.
2
Let d(x) = -x**3 + 6*x**2 - 4*x + 1. Suppose 2 = b - 3*i - 4, -80 = -5*b + 5*i. Calculate the remainder when b is divided by d(5).
3
Suppose 4*t = -5*k + 494, -4*t + 86 = 4*k - 306. What is the remainder when k is divided by 2/(-3) + 2 + 74/3?
24
Let l = -33 + 36. What is the remainder when 29 is divided by l?
2
Suppose 15*h = 4*h + 330. Suppose -n + 2*x + x - 7 = 0, 10 = 2*x. Calculate the remainder when h is divided by n.
6
Suppose 3*g = -2*r + 61, g = -3*r + 2*g + 86. What is the remainder when r is divided by 11?
7
Suppose -8 = -b - 3*b. Suppose 8 = -0*m + b*m. Suppose -3*t - 5*y = -9 - 5, t = -m*y. Calculate the remainder when 14 is divided by t.
6
Let j be 3/5 - 6/(-15). Let y = 13 - j. What is the remainder when 21 is divided by y?
9
Let m(a) = -2*a + 2. Let s = -15 - -13. Calculate the remainder when m(s) is divided by 3.
0
Let a = 44 + -42. Let n(y) = -y**3 - 5*y**2 + 5*y - 4. Let k = -6 + 0. Calculate the remainder when a is divided by n(k).
0
Let g(q) be the third derivative of q**6/120 + q**5/10 - 3*q**4/8 + q**3/3 - 2*q**2. Calculate the remainder when g(-7) is divided by 6.
4
Suppose 5*m - 3*y + 5*y - 346 = 0, -68 = -m - y. Calculate the remainder when m is divided by 18.
16
Let y = -3 - -2. Let t be (-4)/12 + y/(-3). Suppose -2*k - 48 = -5*r - t*k, -5*r - k + 36 = 0. What is the remainder when 15 is divided by r?
7
Suppose 4*f + 24 = -4*g, 0 = -4*f - 2*g + 4*g + 6. Let s(v) = v**3 + 3*v**2 + 2*v + 1. What is the remainder when s(f) is divided by 1?
0
Let a(y) = 5*y - 2. Calculate the remainder when 24 is divided by a(3).
11
Suppose 0 = -4*h + 20, -2*j + 5*h = -5*j + 595. Suppose 6*k - j = k. What is the remainder when k is divided by 4/14 - (-138)/7?
18
Let g = 48 + -35. Calculate the remainder when g is divided by (-2)/(-7) + 66/14.
3
Let k(s) = s**3 - 2*s**2 - 3*s + 5. Let j be (-45)/(-6)*2/3. What is the remainder when k(j) is divided by 17?
14
Let z = -9 - -17. Let a(x) = x + 12. Calculate the remainder when z is divided by a(-9).
2
Let y = 5 + 11. Let d = 62 - y. What is the remainder when d is divided by 16?
14
Let x(z) = -2*z + 3. Let h(u) = -u**3 + 8*u**2 - u + 10. Let i be h(8). Suppose y - 2 - i = 0. Calculate the remainder when x(-4) is divided by y.
3
Let y be -1 + (-1)/((-3)/54). Suppose 61 = 4*o + y. What is the remainder when o is divided by 3?
2
Suppose -32 - 23 = -5*u. Let y(h) = 7*h**2. Calculate the remainder when u is divided by y(1).
4
Let r(t) = t**2 + t + 7. Let m = 14 + -10. Calculate the remainder when r(0) is divided by m.
3
Let a = 97 - 48. Calculate the remainder when a is divided by 17.
15
Suppose -4*i - 28 = 20. Let b be (4/(-8))/(2/(-16)). What is the remainder wh