emainder when o is divided by (6/5)/(6/45).
7
Suppose f - 15 = 5*i - 5, 2*i = -2*f + 44. What is the remainder when 8/(2 + f/(-12)) is divided by 5?
4
Suppose 0 = t - 5*v - 178, -4*t - 2*v = 2*v - 808. Calculate the remainder when t is divided by 56.
30
Suppose 3*x + 3*z - 78 = 0, -x + z = -5*x + 89. Calculate the remainder when (-800)/12*51/(-34) is divided by x.
16
Suppose -o = 2*o - 12. Let l = 16 + -8. Calculate the remainder when 74/o - (-4)/l is divided by 10.
9
Suppose 0 = 5*r - 10, -n + r + 8 = 4*r. Suppose 70 = 5*m - 5*w, 4*m = n*w - 6*w + 80. What is the remainder when 134 is divided by m?
15
Calculate the remainder when 1573 is divided by 5 - 120/8*-2.
33
Let w(n) = -n + 9. Suppose -f + 2 = -4. Suppose -f*o = -o. What is the remainder when 34 is divided by w(o)?
7
Suppose -61 = 6*k - 385. What is the remainder when 99 is divided by k?
45
Let s(v) = -2*v. Suppose -4*r - 15*u = -19*u - 32, r + 5*u + 16 = 0. What is the remainder when r is divided by s(-2)?
0
Let h(q) be the second derivative of 1/6*q**3 - 1/3*q**4 + 0 + q**2 + 1/20*q**5 + 3*q. Calculate the remainder when 11 is divided by h(4).
5
Suppose -18*w = -14*w - 280. Calculate the remainder when 419 is divided by w.
69
Suppose 586 = 2*v + 2*o + 92, 5*o + 1033 = 4*v. What is the remainder when v is divided by 11?
10
Let y(q) = 24*q**3 - 2*q + 1. What is the remainder when (-8)/2*23/(-322) + (-3312)/(-21) is divided by y(1)?
20
Suppose 0 = 5*z - 4*c - 29, -z + 4*z = -5*c + 10. What is the remainder when (-16)/36 + (-5075)/(-261) is divided by z?
4
Suppose -d + 4*g + g - 11 = 0, 2*g - 8 = 4*d. Let s = 570 - 566. What is the remainder when 7 is divided by (d - (-4 + 4)) + s?
1
Suppose 2*m = -2*m + 5*p - 65, 4*p = 4*m + 60. Calculate the remainder when 105 is divided by m/15*(-6)/(-4) + 23.
17
What is the remainder when 453 is divided by (-10)/(-18)*(-498)/(-415)*222?
9
Let k be ((-1)/(-4))/(1/(-4)). Let x(b) = -b**2 - 8*b + 5. What is the remainder when x(-6) is divided by ((-6)/7)/(k/7)?
5
Suppose 4*y - z - 985 = 0, -276 = -y + z - 29. Calculate the remainder when y is divided by 85.
76
Suppose 2*r = 3*n + 4*r - 196, 2*r = 4*n - 280. What is the remainder when 202 is divided by n?
66
Suppose 2812 = 2*p + 17*p. Calculate the remainder when p is divided by 38.
34
Let x(p) = 18*p - 56. Let b(n) = -9*n + 28. Let i(l) = -5*b(l) - 2*x(l). Calculate the remainder when i(8) is divided by -2*(-1 - (-21)/(-2)).
21
Let u(j) = -20*j + 685. What is the remainder when 686 is divided by u(23)?
11
Calculate the remainder when 2/(-6)*(-143 - -11) is divided by (8/10)/((-2)/(-40)).
12
Let f(i) = i - 2. Let h be f(5). What is the remainder when (-3)/(h*4/(-132)) is divided by 12?
9
Let h(v) = -v**3 - 20*v**2 - 19*v + 16. Let w(d) = -d**3 + 9*d**2 - 11*d + 5. Let a be w(8). What is the remainder when h(a) is divided by 10?
6
Suppose 2*a - u - 57 = 4027, 4*u - 16 = 0. Calculate the remainder when a is divided by 22.
20
Let z = -6 + 3. What is the remainder when -2*(159/(-6) - z) is divided by 16?
15
Let u = -69 - -98. Let l = -15 + 22. Suppose l = f + 4*v, -47 = -4*f - 0*f + 3*v. What is the remainder when u is divided by f?
7
Let d = -54 - -302. What is the remainder when (d/(-6))/(17/(-3) - -5) is divided by 8?
6
Let z(h) = -h**3 - 10*h**2 + 5*h - 6. Let r be z(-11). Suppose -43*m = -48*m + r. Calculate the remainder when 45 is divided by m.
9
Let o(f) = 4*f + 2. Let k(g) = 3*g + 1. Let r(z) = 4*k(z) - 5*o(z). What is the remainder when 71 is divided by r(-3)?
17
Let s(d) = -d**3 - 13*d**2 - 13*d + 10. Suppose -6*g = 5*g + 132. What is the remainder when 109 is divided by s(g)?
21
Let h be (-27)/(-4) - 1/(-4). What is the remainder when (-1)/(7/(-3)) + 459/h is divided by 17?
15
What is the remainder when 19 is divided by (-1 - 8)/(-1) - -4?
6
Let k = 15 + 56. What is the remainder when 283 is divided by k?
70
Calculate the remainder when (-11 + 14)/(-5*2/(-40)) is divided by 4.
0
Suppose -5*g = -0*g + 60. Suppose 2 - 38 = -2*i - 5*s, -5*i - 2*s + 48 = 0. Calculate the remainder when (-148)/g + 2/3 is divided by i.
5
Let g = 77 - 56. Calculate the remainder when 80 is divided by g.
17
Suppose 4*d + 0*b - 64 = -2*b, 0 = 4*b - 8. What is the remainder when 37 is divided by d?
7
Suppose -2*o + 8 = -22. Calculate the remainder when (-18)/(-81) + 3722/18 is divided by o.
12
Let v(b) = 0*b**3 + 7 + b**3 + 2*b + 2 - b**2 - 5. What is the remainder when 9 is divided by v(0)?
1
Let z(q) = q**2 - 10*q - 1. Suppose 11*a - 6*a - 55 = 0. Let p be z(a). Suppose -5*f + 40 - p = 0. What is the remainder when f is divided by 3?
0
Suppose -15*d + 56 = -4. Calculate the remainder when ((-1 - d) + 65)/(6/16) is divided by 27.
25
Let j(n) = -n**3 - 7*n**2 - 4*n - 15. Let h be 56/12 - 1/(-3). Suppose h*c - 68 = 112. What is the remainder when c is divided by j(-7)?
10
Let m(v) be the second derivative of v**4/12 - 5*v**3/3 - 7*v**2 - 7*v. Let t(f) = 10*f**2 - 2*f + 1. What is the remainder when m(13) is divided by t(1)?
7
Suppose -396 = -18*w + 15*w. Calculate the remainder when w is divided by 15.
12
Let f = -499 + 518. Calculate the remainder when 80 is divided by f.
4
Suppose -3*g - d = -39, -g - 2*g + 2*d + 30 = 0. Suppose -2*b + 2*y + 7 = -33, -4*b + 2*y = -84. Calculate the remainder when b is divided by g.
10
Suppose 0*r + 2*r - 20 = 0. Let p(u) = -u**3 + 21*u**2 - 39*u + 37. Calculate the remainder when p(19) is divided by r.
8
What is the remainder when 795 is divided by 1820/16 + 2*1/8?
111
Let t = 727 - 379. Calculate the remainder when t is divided by 7.
5
What is the remainder when ((-1134)/49*1)/((-12)/224) is divided by 14?
12
Calculate the remainder when -2 + 2288/12 - (-3)/9 is divided by 49.
42
Let s be 328/(-48) + (-1)/6. What is the remainder when 24 is divided by (-918)/(-126) - (-2)/s?
3
Suppose 3*i = 2*i - 5*g + 49, 219 = 3*i - 3*g. Calculate the remainder when i is divided by 25.
19
Suppose -4*d = -4*u - 16, 4 + 3 = d - 2*u. Let y(q) = -q**2 - 12*q + 1. What is the remainder when y(-12) is divided by d?
0
Calculate the remainder when 245 is divided by 17/(-3)*(-2 - 7).
41
Let q(s) = -9*s + 68. Let k = -35 - -49. What is the remainder when q(3) is divided by k?
13
Suppose 29*h = 28*h + 11. Calculate the remainder when 30 is divided by h.
8
Suppose 24*l - 64*l + 4000 = 0. What is the remainder when l is divided by 41?
18
Let x be 1/1 - 0 - -1. Let s be (2/(-3))/((-22)/(-495)). Calculate the remainder when (12/(-10))/(x/s) is divided by 6.
3
Suppose -62*a = -68*a + 312. What is the remainder when 203 is divided by a?
47
Suppose 0 = -d - 2*k + 58, -4*k + 6 = d - 44. Suppose -3*v + 60 = 5*u - 2*u, d = 3*u + v. What is the remainder when 114 is divided by u?
22
Let q = 16 - 15. What is the remainder when (98/(-10) + q)*-5 is divided by 17?
10
Suppose -3*b + 4*t + 241 = 0, 94 - 413 = -4*b + 3*t. Calculate the remainder when b is divided by 27.
25
Let x(j) = -3*j - 10. Let f be x(-7). Let a = 52 + f. Suppose -29 = -2*c + 3*g, 4*g = -5*c - g + 85. Calculate the remainder when a is divided by c.
15
Let a(u) be the third derivative of -5*u**4/8 - 3*u**3/2 + 2*u**2. Let l(f) = 4*f + 35. Let d be l(-10). What is the remainder when a(d) is divided by 17?
15
Let b(z) = 2*z - 10. Let r be b(8). Calculate the remainder when 514/r - 11/(-33) is divided by 22.
20
Let x = 91 + 489. What is the remainder when x is divided by 11?
8
Let j(b) = -b**3 - 6*b**2 - 9*b - 13. Let n be j(-5). Let f(m) = m**3 - 6*m**2 - 3*m + 1. What is the remainder when 81 is divided by f(n)?
23
Suppose 2*s = m - 43, 6*s - 3*s + 87 = 2*m. What is the remainder when m is divided by 23?
22
Suppose 4*p - 27 = 77. Let j = 26 - 25. What is the remainder when 80 + 1 - 4/j is divided by p?
25
Let z = -211 + 302. What is the remainder when z is divided by 46*((-3)/3)/(-2)?
22
Suppose 5*g = -3*f - 4 + 28, 3 = -2*f + 3*g. Let j(t) = -t**3 + t**2 + t + 5. Let m be j(0). Let c = -2 + m. Calculate the remainder when f is divided by c.
0
Let r(y) = -9*y - 1. Let b = 12 + -15. Let u = b + 1. Calculate the remainder when 67 is divided by r(u).
16
Let j be 6/(-10) - 368/(-80). Calculate the remainder when 14 is divided by 3 + (j - 3/1).
2
Let u(j) = j**3 - 2*j**2 + j - 2. Suppose -2*f + 3*f + 196 = 0. Let i = f - -230. What is the remainder when i is di