Let m be (1*-1)/1 - -6. Let a(s) = s**2 - 6*s + 4. Let d(j) = j - 1. Let w(p) = a(p) + 6*d(p). What is the remainder when 45 is divided by w(m)?
22
Let u(n) = -4*n**2 + 2*n + 11. Let t be u(6). Suppose 749 = 3*p - r, 4*r = -5*p + 865 + 355. Let q = p + t. Calculate the remainder when q is divided by 32.
31
Let i be 6/(-27) + (-453)/27. Let a = i + 3. Let n = a + 26. Calculate the remainder when 47 is divided by n.
11
Let q(u) = -7*u - 54. Calculate the remainder when 55 is divided by q(-11).
9
Suppose 0 = -3*l - 4*x + 14, 0*l = 3*l - 2*x - 38. Let f = l - 3. Suppose -f = 4*j + 5, -b + 4*j = -32. What is the remainder when b is divided by 11?
9
Suppose -12 = -5*x + 8. Suppose 81*t = 82*t - 21. Suppose t = 2*p + 3*o, 3*p - 2*o - 25 = -0*o. What is the remainder when p is divided by x?
1
Let r be -23*(-1)/3*9. Suppose 0*b + 3*b - r = 0. Calculate the remainder when b is divided by 1/((-69)/(-52) - 20/16).
10
Calculate the remainder when (-244 + -126)/(1*-1) is divided by 107.
49
Let a(b) = -10*b + 1 + 3 - 2*b + 2*b. What is the remainder when a(-9) is divided by 24?
22
Let r(u) be the second derivative of u**5/20 + 3*u**4/4 + 5*u**3/6 - 4*u**2 + 4*u. What is the remainder when r(-8) is divided by 6?
4
Let w = -617 - -659. Let g = 19 - 10. Calculate the remainder when w is divided by g.
6
Let y(b) = -13*b**3 + b**2. Suppose -4*m + 4 = -5*g, -5*m + 4*m = 4*g - 1. Let j be y(m). Calculate the remainder when 27 is divided by 1*(0 + j/(-2)).
3
Let m = 371 - -84. Calculate the remainder when m is divided by 12.
11
Let d(h) = -h**3 + 6*h**2 + 3*h - 9. Let z be d(6). What is the remainder when z/12 + 170/8 is divided by (-12)/(-10)*(-220)/(-33)?
6
Suppose -2*b + 3*n = -35, -3*n + 17 = b + b. Let f be ((-6)/9 + 2)*-111. What is the remainder when (2/4)/((-2)/f) is divided by b?
11
Suppose -16*z + 72 + 40 = 0. What is the remainder when 135 is divided by z?
2
Let s(x) = 2*x**3 + 48*x**2 + 44*x - 23. What is the remainder when 182 is divided by s(-23)?
21
Let v be 966/15 + (-14)/35. Suppose 3*k - 3*x - 48 = x, 4*k - 3*x = v. Calculate the remainder when 45 is divided by k.
13
Let x(c) = 4*c**2 - 5*c**2 - 10 - 8*c + c**3 - 3*c**2. Calculate the remainder when x(7) is divided by 17.
13
What is the remainder when (1/(-4)*2)/(6/(-3180)) is divided by 21?
13
Suppose 3*d = 4*d - 60. Suppose -5*v - 5*z = -55, -5*v + 4*z = 5*z - 43. Suppose -4*p - d = -v*p. What is the remainder when 58 is divided by p?
13
Suppose -2*w - 5*p + 3*p = -22, -2*w + 24 = 3*p. Calculate the remainder when 44 is divided by (-5*1)/(10/((-90)/w)).
4
Let m = 66 - 44. What is the remainder when (5 - (-100)/(-8))*(-68)/6 is divided by m?
19
Suppose 1366*d = 1350*d + 1392. Suppose 0*p - 150 = -5*p. What is the remainder when d is divided by p?
27
Let b(h) = h**2 + 10*h - 11. Let u be b(-9). Let g be 3/(3 + u/8). Suppose -5*m = -4*l - 57, 3*m - 5*l - g = 4*m. What is the remainder when 25 is divided by m?
7
Calculate the remainder when 232 is divided by 927/14 - 792/3696.
34
Suppose 4*x = -x. Suppose 13*l = l + 180. What is the remainder when l is divided by 3 + (x - -2) + -1?
3
Suppose -2*o = -o - 3*v + 23, -5*o = v + 115. Let h = o + 49. What is the remainder when -1*(-77)/2*2 is divided by h?
25
Suppose -62 - 37 = -3*t + 4*p, -3*t - 2*p = -81. Calculate the remainder when 54 is divided by t.
25
Let p(j) = -47*j - 440. What is the remainder when p(-14) is divided by 52?
10
Suppose 13*z + 2*t - 16 = 9*z, z - 6 = -t. Let q(s) = s + 2. Let h be q(2). What is the remainder when 1 + -2 + 1 + h is divided by z?
0
Suppose 0 = -9*s + 25 + 29. Let v = 38 + s. What is the remainder when v is divided by 1 + 28/(4 - 2)?
14
What is the remainder when 24 is divided by ((-18)/36)/((-1)/42)?
3
Let q(y) = -11*y - 3 + 3 + 2. Let h = 2 + -7. Calculate the remainder when q(h) is divided by 15.
12
Suppose -63*i - 26 = -782. Calculate the remainder when 143 is divided by i.
11
Let h = 842 - 635. What is the remainder when h is divided by 35?
32
Let h(q) be the first derivative of 12*q**2 - q - 9. Let i be h(5). Suppose -7*b + i = 28. What is the remainder when 24 is divided by b?
11
Let k(z) = -2*z**3 + 5*z**2 - z - 4. Suppose 3*b - 5*b = -6. Let g be k(b). Let i = g - -33. What is the remainder when 49 is divided by i?
15
Let m(j) = j**2 - 2*j + 3. Let c = -20 + 24. Suppose 0 = -c*w + 15 - 3. What is the remainder when m(2) is divided by w?
0
Suppose 0 = -0*f + 3*f - 144. Let d = 174 + -4. Suppose 2*a - 12*a = -d. What is the remainder when f is divided by a?
14
Suppose -4*d - 4*f - 24 = 0, 2*d - f - 12 = 6*d. What is the remainder when (5/(-10))/(d/28) is divided by 10/4 - (-2)/(-4)?
1
Let k(z) = -z**2 - 2*z + 1. Let h(f) = 7*f**2 + 18*f - 9. Let j(i) = -h(i) - 6*k(i). Calculate the remainder when 2 + -2 - (-1 + -19) is divided by j(-3).
8
Suppose 0 = 8*g - 6 - 18. Suppose 0*d + 1015 = 5*d + 3*r, -g*d + 609 = -4*r. What is the remainder when d is divided by 41?
39
Let q be (-12)/16*(-32)/12. Suppose q*l - 58 = -c, -5*l - 1 = -3*c + 129. Suppose c + 22 = v. Calculate the remainder when v is divided by 15.
12
Suppose 23 = -2*y + 7. Let f = -10 - y. What is the remainder when 11 is divided by f*3/((-9)/6)?
3
Let u(p) = 5*p**2 - 11*p - 44. What is the remainder when 1630 is divided by u(-5)?
134
Suppose 0 = -d - 5*s - 18, -2 = -3*d + s + 8. Suppose y + 28 = 6*y + 2*i, 20 = 3*y + d*i. Calculate the remainder when 6 is divided by y.
2
Let i(l) = 2*l**2 - 7*l + 15. Calculate the remainder when 71 is divided by i(3).
11
Suppose 18*j - 3760 - 434 = 0. What is the remainder when j is divided by 68?
29
Suppose -5*p - 747 = -8*p. Suppose p = 4*k - k. Calculate the remainder when k is divided by 17.
15
Suppose -a + 2 = 0, r + 4*a - 5 - 26 = 0. Let c be (-2 + 1)/(1 + -2). Suppose 47 = 4*k - c. Calculate the remainder when r is divided by k.
11
Suppose g = 221 - 17. Calculate the remainder when g is divided by 53.
45
Let o = 75 + -73. Suppose o*j = -7*j + 666. Calculate the remainder when j is divided by 11.
8
Suppose -3*y + 41 = 2*f, 16 + 11 = 2*y + f. Let a = -14 + 30. Let t = 35 + a. Calculate the remainder when t is divided by y.
12
Let f(u) = u**3 + 8*u**2 - 12*u - 4. Let g be f(-6). Suppose 41 = 2*v + 2*b - b, -g = -5*v + 5*b. What is the remainder when v is divided by -2 + 1 - (-42)/3?
10
Let w = -4 - -45. Let b(k) = k**3 - k**2 + 4. What is the remainder when w is divided by b(3)?
19
Let r be (-12)/(-5) - (-2)/(-5). Let p = -76 - -107. Suppose -5*v + 58 = -4*x - 11, -r*v + 5*x = -p. What is the remainder when 38 is divided by v?
12
Let n(g) = g + 20. What is the remainder when (-63)/(-27)*1*3 - -2 is divided by n(-17)?
0
Suppose -4*r - n = 8, -2*r - 3*r = 4*n + 10. Suppose 0 = -4*z + x - 6, -4*z = -z - x + 4. What is the remainder when (z/8)/(r/8) is divided by 1?
0
Let j(i) = 2*i - 16. Let c be j(-5). What is the remainder when 126 is divided by c*3*2/(-6)?
22
Let r = -152 - -155. What is the remainder when 32 is divided by r?
2
Let m(x) = -8*x - x**3 - 3 + 10*x**2 - x + 12. Calculate the remainder when 14 is divided by m(9).
5
Let r be (-2)/(-5) + (-26)/(-10) + 1. What is the remainder when (r - 5)/(15/8 - 2) is divided by 2?
0
Calculate the remainder when 275 is divided by 2/(111/148 - 398/552).
68
Let k be (-15 + 11)*(3 - 2)/(-1). Suppose -8*o + 5*w + 494 = -4*o, -k = 2*w. Calculate the remainder when o is divided by 41.
39
Suppose 52 + 454 = 4*v - 2*h, 0 = -3*v + 4*h + 367. Calculate the remainder when v is divided by 28.
17
Let f(u) = -12*u + 9 + 13*u + 1 - u**2. Calculate the remainder when 17 is divided by f(0).
7
Let a be 4/6*30/(-4). Let o(k) = k**2 + 3*k + 7. Calculate the remainder when ((-4)/6)/(a/540) is divided by o(-6).
22
Suppose 0 = -6*s + 6 + 18. Let l(u) = 3 + 0 - 20*u**2 + s*u + 23*u**2. Calculate the remainder when l(-2) is divided by 4.
3
Suppose 9 = y + 34. Let h = y + 29. Suppose -93 + 19 = -h*i - 5*u, -4*u = -2*i + 50. Calculate the remainder when 60 is divided by i.
18
Suppose 3*a = 3*s + 4683, 3*a = -0*a + s + 4679. Calculate the remainder when a is divided by 30.
29
Let y(q) = 164*q - 407. Calculate the remainder when 142 is divided by y(3).
57
Let o = -1 + 55. Suppose -2*l - 23 = -c, -2*c - l = -3*l - o. What is the remainder when c is divided by 8?
7
Let o(x) = -x - 6. Let v be o(-16)