n 56 is divided by 26 + (-28)/126 + (-104)/18.
16
Suppose 5*u = 2*v + 21, -u + 13*v = 10*v - 12. What is the remainder when 11 is divided by u?
2
Let x be 256/14 - 10/35. Let n = x + 6. What is the remainder when 44 is divided by (n/(-36))/((-4)/90)?
14
Let p = 587 + -566. Calculate the remainder when 123 is divided by p.
18
What is the remainder when (33/22)/((-3)/2) - -155 is divided by 53?
48
Suppose 51*a - 49*a - 2*m - 132 = 0, 5*m - 350 = -5*a. Calculate the remainder when a is divided by 4/(-14) - (-256)/14.
14
Let v = 154 + -33. Calculate the remainder when v is divided by 19.
7
Let f(t) = -6*t + 16. What is the remainder when 33 is divided by f(2)?
1
Suppose 3 - 6 = -3*t. Suppose -62 - 34 = 3*z. Let m = z + 33. What is the remainder when t is divided by m?
0
Let y be 50 + (-3 - (-8 + 4)). Calculate the remainder when (y/(-2))/((-2)/4) is divided by (-4*1)/((-6)/27).
15
Let a be 12/8*(-206)/(-3). Suppose 8 = -5*y + a. Suppose 2*j = 1 + y. Calculate the remainder when 29 is divided by j.
9
Let x be (8/(-20))/((-1)/5). Suppose s + x*s - 6 = 0. Suppose -2*r = -t - 14, -3*r + 10 = s*t - 11. Calculate the remainder when 12 is divided by r.
5
Let v(r) = -25*r + 1. Let x(t) = 74*t - 3. Let s(c) = -8*v(c) - 3*x(c). Let m be s(2). Calculate the remainder when m/(-3) - (-3)/(-9) is divided by 5.
4
What is the remainder when 269 is divided by (-34)/(-29 - -25 - (-10)/3)?
14
Suppose 2*g - 26 = -3*u, -60*g + 61*g = -3*u + 4. Suppose 5*s - 206 = -26. Calculate the remainder when s is divided by g.
14
Suppose -5*t - 77 - 79 = -4*q, q - t - 40 = 0. Suppose -q = -3*r - h + 6*h, 5*h = -5. What is the remainder when r is divided by 8?
5
Let l(r) = 4*r - 7. Suppose -3*u = 3, -4*h - u - 2 = u. Suppose h = -5*p + 10. Calculate the remainder when l(3) is divided by p.
1
Suppose 0 = -3*v, 2*v = 4*x + x - 50. What is the remainder when 64 is divided by x?
4
Suppose -2*b - 110 = -7*b. Let a = -15 + b. Calculate the remainder when a is divided by ((-35)/(-7) - 2)*1.
1
Calculate the remainder when (195 + 2/(-1))*(153 + -152) is divided by 46.
9
Let q = -168 - -236. Suppose -19*v = -21*v + q. Calculate the remainder when v is divided by 4.
2
Let f(m) = 23*m - 5. Let a(v) = -18*v + 12 + 7*v - 11*v - 8. Let o(i) = 7*a(i) + 6*f(i). Calculate the remainder when 87 is divided by o(-2).
27
Let v(k) = k**3 - 8*k**2 + 6. Suppose -6*i + 47 = -1. Let y = 38 + -23. Calculate the remainder when y is divided by v(i).
3
Suppose -4039 - 4709 = 9*k. Calculate the remainder when (-2)/10 - (k/10 - 1) is divided by 11.
10
Let o(n) = -2*n**3 - 9*n**2 + 5*n - 135. Calculate the remainder when o(-8) is divided by 74.
51
Let y(h) = 8*h + 9. Let w(d) = d**2. Let m(j) = w(j) + y(j). Let o be m(-6). What is the remainder when 14 is divided by ((-1)/o)/(5/75)?
4
Let n(h) = -h**2 - 41*h - 13. Calculate the remainder when n(-38) is divided by 36.
29
Let i = 702 - 422. Calculate the remainder when i is divided by 71.
67
Let b = -14813 - -14872. Suppose -k + 30 = k. What is the remainder when b is divided by k?
14
Let o = -60 - -70. Suppose -3*w - o = -5*w - 2*f, -4*w + 36 = -4*f. Calculate the remainder when 48 is divided by w.
6
Suppose 46 = -5*v - 4*s, -v - 2*v - 4*s = 26. Let k = v + 24. Suppose -q - 3*q = -f - 36, 16 = 4*q + 4*f. Calculate the remainder when k is divided by q.
6
Suppose -3*g - 16 = 29. Let k = g - -8. Calculate the remainder when 98 is divided by 24/(-42) + (-179)/k.
23
Let n be 6/21 + (-130)/(-35). Suppose n*l = 17 - 1. Suppose -q + 0*q = -3*m + 55, -l*q = 5*m - 103. What is the remainder when 36 is divided by m?
17
Let g(c) = -c + 9. Let r be g(9). Suppose -3*w - w - 36 = r. What is the remainder when 58 is divided by w*(-2 + (-12)/9)?
28
Let j(s) = s**3 + 6*s**2 + 6*s + 3. Let k be j(-5). Suppose -22*b + 23*b = 14. What is the remainder when (-399)/b*k/3 is divided by 7?
5
Let i(h) be the first derivative of 2*h**3 + 14*h**2 + 8*h + 5. Calculate the remainder when i(-8) is divided by 34.
32
Let u = 201 - 137. Let p(f) = 5*f - 64. What is the remainder when u is divided by p(15)?
9
Let z = 870 + -775. Calculate the remainder when z is divided by 49.
46
Let p(v) = 136*v - 1080. What is the remainder when (-75)/(-3) - (1 - 1) is divided by p(8)?
1
Suppose 78 = 2*o + 4*b + 12, 0 = -o + 4*b + 9. Suppose -2965 = 43*x - 8254. Calculate the remainder when x is divided by o.
23
Suppose 0 = -2*r + 4*r - 40. Suppose -5*d + 2*d + 170 = -4. Calculate the remainder when d is divided by r.
18
Suppose -5*r - 2*d + 4*d + 73 = 0, -3*d = 5*r - 53. Let f be (r - 8)/(2/12). Suppose -4*p - f = -414. Calculate the remainder when p is divided by 33.
30
Let i be (8/6)/((-12)/(-54)). Let a(y) = -y**2 + 6*y + i*y + y - 7*y + 2. Calculate the remainder when 17 is divided by a(5).
3
Let g(f) = -7*f**2 - 4*f + 274. Calculate the remainder when g(0) is divided by 92.
90
Suppose 0*y - 4*y + 42 = -5*z, -5*y = 10. Calculate the remainder when (z - -11) + 2*109 is divided by 17.
15
Let l be (-6)/((-3)/4 + 20/(-16)). Suppose -h - k = -l*h + 14, 0 = -2*h - 2*k + 14. Calculate the remainder when 46 is divided by h.
4
Suppose 2*j - 5*d - 484 = 0, 5*j - 3*d - d - 1176 = 0. Calculate the remainder when j is divided by 14.
8
Suppose 24*x = 88 - 16. What is the remainder when 7 is divided by x?
1
Let t = 695 + -607. Calculate the remainder when t is divided by 13.
10
Let t = 45 + -40. Suppose -4*u + 101 = 3*j, 0 = t*j - u + 3*u - 173. Let v = j + -21. Calculate the remainder when 68 is divided by v.
12
Let u(z) = -40*z - 82. Calculate the remainder when u(-3) is divided by 25.
13
Calculate the remainder when (-927)/36*(1 - 5) is divided by -2*(-3)/(-45) + (-394)/(-30).
12
Let w(o) = -o**3 + 10*o**2 - o + 12. Let i be w(10). Let z(c) = -3*c - 15. Calculate the remainder when z(-15) is divided by (6 + -2)*i*2.
14
Let q(y) = -y - 1. Let d be q(-13). Suppose 2*r - d - 29 = i, r - 7 = -4*i. What is the remainder when 75 is divided by r?
18
Let c(v) = v**3 + 15*v**2 - 34*v + 65. What is the remainder when 452 is divided by c(-17)?
62
Let s = 26 - 44. Let k = s + 28. What is the remainder when 29 is divided by k?
9
Suppose g = 5*a + 85, g + a - 35 - 38 = 0. What is the remainder when g is divided by 19?
18
Let g(n) = 4*n**3 + n**2 - 17*n + 15. Calculate the remainder when 73 is divided by g(1).
1
Suppose -2228 = -16*x - 692. What is the remainder when x is divided by 21?
12
Let f(g) = 26*g + 379. Calculate the remainder when f(-14) is divided by 15.
0
Let z = 473 + -462. What is the remainder when z is divided by 10/3 + 2/3?
3
Let v be ((-18)/(-4))/((-3)/(-12)). Let m = v - 13. Suppose m*i = -40 + 135. What is the remainder when 35 is divided by i?
16
Suppose -4*k - 273 = -645. What is the remainder when k is divided by 19?
17
Let y(u) = -u + 5. Suppose -4*k - 196 = -4*j, 0 = -38*j + 39*j - 4*k - 58. Calculate the remainder when j is divided by y(-7).
10
Suppose 9*u - 23*u = -1092. What is the remainder when u is divided by 20?
18
Suppose 23 = 3*n + 4*j, 5*j = 5*n + 7 - 92. Suppose -5 = -4*u + 55. Calculate the remainder when u is divided by n.
2
Let j(w) = -8*w**2 + 15*w - 8. Let v(y) = -y**2 - y. Let z(n) = -j(n) + 2*v(n). Calculate the remainder when z(6) is divided by 41.
40
Let a(d) = 41*d**2 - 11*d - 13. Calculate the remainder when 74 is divided by a(-1).
35
Suppose -2*q = 3*y - 25, 0*q = -2*y + 5*q - 15. Suppose -y*u = -2*h - 58, 4*u - 10 = 2*h + 36. What is the remainder when u is divided by 5?
2
Let d be 52/(-6) + 8/(-24). Let k = 5 - d. Suppose 15 + 26 = o. Calculate the remainder when o is divided by k.
13
What is the remainder when 430 is divided by -5 - (-5)/((-20)/(-164))?
34
Suppose -2*g - 7*j = -5*j - 68, 67 = 3*g - 4*j. Suppose 3*a - 230 = a. Calculate the remainder when a is divided by g.
28
Let i = -49 + 55. Let h(n) = -2*n + 15. Calculate the remainder when h(1) is divided by i.
1
Let b(f) = 3*f**2 - 3*f - 1. Let s be b(3). Suppose 16*j + 50 = s*j. Calculate the remainder when j is divided by 27.
23
Suppose 15*b = -7*b + 1144. What is the remainder when 101 is divided by b?
49
Let g = 1398 + -1288. What is the remainder when 365 is divided by g?
35
Let h(i) be the third derivative of -1/6*i**3 + 0*i - 3*i**2 + 1/4*i**5 + 0*i**4 + 0. Calculate the remainder when 39 is divided by h(1).
11
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