x = 34 - -12. Calculate the remainder when x is divided by 16.
14
Let z be -25 + (1 - -4 - 4). Calculate the remainder when 55 is divided by (-200)/(-14) + z/84.
13
Suppose 2*l + 0 + 2 = 0. Let y be (-8)/2 + 1 + l. What is the remainder when 26 is divided by ((-14)/(-3))/(y/(-12))?
12
Let g = 4 - 0. Suppose 3*v - 62 = 5*a, -g*a = -5*v + 41 + 45. What is the remainder when v is divided by 4?
2
Let n(r) = 41*r**2 - 2*r - 2. Let l be n(2). Suppose x + x = l. What is the remainder when x is divided by 27?
25
Let r(y) = y**3 + 22*y**2 + 20*y + 10. Calculate the remainder when r(-21) is divided by 17.
14
Let z = -14 - -27. Suppose n = 6 - 1, -n - z = -2*k. Let q = 22 - -13. Calculate the remainder when q is divided by k.
8
Let h = 5 + -3. Suppose 0*k = -h*k + 8. Suppose -k*z + 71 = 4*o - 9*z, 4*z - 4 = 0. What is the remainder when o is divided by 11?
8
Let l(r) = r**3 - 2*r**3 + 5*r**2 - 2 + 6. Let k be l(5). Suppose -k*p - p + 60 = 0. What is the remainder when 23 is divided by p?
11
Let t = -6 + 41. Let o(y) = y**2 + 17. Let n be o(0). Let g = n + -5. Calculate the remainder when t is divided by g.
11
Suppose 28 + 0 = 4*c. What is the remainder when 25 is divided by c?
4
What is the remainder when 4*(67/2 + 2) is divided by 9?
7
Let w(h) = 5*h - 3. Let z(d) = d - 1. Let p(c) = -w(c) + 6*z(c). What is the remainder when 11 is divided by p(9)?
5
Let c = -19 + 54. Calculate the remainder when 172 is divided by c.
32
Suppose 5*i - 48 = 2*i. Calculate the remainder when 41 is divided by i.
9
Let f(d) = -2*d**2 - 6*d + 4. Suppose -65 = -2*x - 3*x. Calculate the remainder when x is divided by f(-3).
1
Let h = 6 + 36. Suppose 0*i - i = -11. What is the remainder when h is divided by i?
9
Suppose -2*c + v = 3*v - 336, 4*c - 668 = -3*v. Suppose -2*q = 4*u - 106, 0 = 5*q - q - 4*u - c. Calculate the remainder when q is divided by 23.
22
Suppose 4*v = 3*i - 36 + 7, -3*i - 4*v = -13. Let q be (2 + 8/(-6))*6. Suppose -q = -2*k + 2. Calculate the remainder when i is divided by k.
1
Calculate the remainder when 2 is divided by (1 + -3)*1/(-2).
0
Suppose 0 = 3*z - 4*a - 5, -3*z = -2*z + 2*a - 5. Let v(m) = -z*m - 6 + 3*m + 5*m + 2*m**2. What is the remainder when v(-5) is divided by 7?
5
Let p be ((-235)/(-1))/(2/(-8)). What is the remainder when (-2)/(-5) - p/25 is divided by 20?
18
Let t = -2 + 4. Suppose 6 = 2*j - 2*l, -3*j - 4*l + 15 = 2*j. Calculate the remainder when j is divided by t.
1
Suppose v + 2*v = 15. Suppose -x = -v*x + 76. What is the remainder when x is divided by 7?
5
Let z(k) be the first derivative of 3*k**2/2 - 2*k + 1. Let n(w) = -w**3 - 9*w**2 - 11*w - 4. What is the remainder when n(-8) is divided by z(3)?
6
Let a = -13 + 8. Let g = a - -6. What is the remainder when 3 is divided by g?
0
Let p(a) = -7*a**3 + a + 4. Let b be p(-2). Suppose -x - 3 + 0 = -3*g, -2*g + b = 4*x. Let d = 41 - 7. What is the remainder when d is divided by x?
10
Let k be (-6 + 4)*(0 - 7). Let p(c) = -c**3 + 22*c**2 - 2*c + 57. What is the remainder when (k/2)/(3/21) is divided by p(22)?
10
Let z(x) = -5*x + 1. Let y be z(-1). Let t be 12/2*4/y. Suppose -t*r + 37 = -3. Calculate the remainder when 29 is divided by r.
9
Suppose -3*k + 3*n = -0*k - 27, -5*k + 63 = n. What is the remainder when 35 is divided by k?
11
Let n(g) = g + 7. Let p(v) = 1. Let w(k) = -3*n(k) + 21*p(k). What is the remainder when 29 is divided by w(-5)?
14
Let r = -8 - -8. Suppose r = 2*p + p - 3, 3*p = -2*x + 65. Suppose -5*q + 137 = 3*w, w - 4*w - x = -q. Calculate the remainder when q is divided by 10.
8
Suppose -5*s - 4 - 16 = 5*o, 4*s = 4. Let u(j) = -j - 2. Calculate the remainder when 8 is divided by u(o).
2
Suppose -3*r + 114 = -60. Calculate the remainder when r is divided by 30.
28
Suppose 5*h - 237 + 99 = -2*u, -5*h = 20. Calculate the remainder when u is divided by 8.
7
Suppose -t - 4*q + 9 = -1, -4*t + 2*q = -94. Calculate the remainder when (20/(-8))/((-2)/52) is divided by t.
21
Suppose -3*p = p - 72. Let w = -13 + p. Calculate the remainder when w is divided by 3.
2
Suppose -3*h + 3*i = -2*i - 123, -h + 5*i = -31. Calculate the remainder when h is divided by 16.
14
Suppose 4*f = f + 78. Let t = 5 - -9. Calculate the remainder when f is divided by 132/14 + (-6)/t.
8
Suppose -55 = -2*o - 1. What is the remainder when o is divided by 14?
13
Suppose 0 = -h + 2*h - 14. Let o be (-30)/9*6/5. Calculate the remainder when (o/10)/(2/(-130)) is divided by h.
12
What is the remainder when 214 is divided by (1 + -55)*(-25)/50?
25
Let b(l) = 0*l - 4*l - 5*l**2 + 3*l - l**2. Let d be b(-1). Let t = 39 + d. Calculate the remainder when t is divided by 12.
10
Let w(b) = -b - 1. Let x be w(-6). Let o(g) = g**3 - 5*g**2 + g + 12. What is the remainder when o(x) is divided by 1 + 0/1 - -5?
5
Suppose 8*n + 272 = 16*n. Calculate the remainder when 132 is divided by n.
30
Let g = -6 + 13. Let l = 14 + g. What is the remainder when 82 is divided by l?
19
Let t(s) = -s - 3. Let r be t(-3). Suppose -z = -3*z + 2*p + 10, r = -2*z + 5*p + 13. Calculate the remainder when 14/(1*(-4)/(-2)) is divided by z.
3
Let s = 62 + -110. Let o = 70 + s. Calculate the remainder when 63/6*4/1 is divided by o.
20
Suppose 2*i + 30 = 5*i. Let k = 3 + 0. Suppose -6*w + k*w + 54 = 0. Calculate the remainder when w is divided by i.
8
Let m(b) = 8*b + 49. What is the remainder when 30 is divided by m(-5)?
3
Suppose -3*u - 61 = -4*m + 42, 50 = 2*m - 2*u. What is the remainder when m is divided by -4 + -2 + 20 + 2?
12
Suppose 4*b - 36 = -8. Let k = 24 + -11. What is the remainder when k is divided by b?
6
Suppose -5*i + 0*i + 165 = 0. Let t = i - 18. What is the remainder when 59 is divided by t?
14
Suppose -5*a = -a + 3*m - 60, -4*a = 2*m - 56. What is the remainder when a is divided by 6?
0
Suppose -7*p = -2*p - 40. Calculate the remainder when 14 is divided by p.
6
Let c(n) = -4*n. Let j be c(-1). Suppose -3*i + 73 = -0*h - j*h, -h = i - 15. Calculate the remainder when i is divided by 10.
9
Suppose 4*y = 3*d + 2*y - 295, 5*y + 495 = 5*d. Suppose -d = -3*r - 1. What is the remainder when r is divided by 17?
15
What is the remainder when ((-4)/(-1))/(18/153) is divided by 9?
7
Let w(p) = -p**3 - 4*p**2 - 4*p + 4. Calculate the remainder when w(-4) is divided by 6.
2
Let v = -42 + 77. Suppose -5*k + 5*z + v = 0, -19 = -5*k - z + 34. Calculate the remainder when 29 is divided by k.
9
Let k(s) = -3*s + 4 - 2*s + 2*s. Let i be k(3). Let q = 2 - i. Calculate the remainder when q is divided by 4.
3
Suppose 235 + 80 = 3*m. Suppose -2*w + m = w. Calculate the remainder when w + 1 - (1 - 3) is divided by 10.
8
Let c(l) = 8*l - 20. What is the remainder when 82 is divided by c(4)?
10
Suppose 71 = 4*z - 9. Calculate the remainder when 116 is divided by z.
16
Let u(z) = z**3 - 11*z**2 + 13*z - 22. Suppose 5*l - 21 = -4*m, -2*l = -3*m + 10 - 0. What is the remainder when (-84)/9*(-6)/m is divided by u(10)?
6
Let i = -55 + 184. What is the remainder when i is divided by 26?
25
Suppose 3*i + i - 132 = 0. Let d = 9 + i. What is the remainder when d is divided by 15?
12
Suppose y - 18 = 4*w, -3*w - 2 = 3*y + 4. Calculate the remainder when w/((-16)/68)*5 is divided by 22.
19
Suppose 2*z - 2 - 18 = 0. Calculate the remainder when z is divided by 3.
1
Suppose t = -3*t + 212. Suppose 56 = -i + 5*i. What is the remainder when t is divided by i?
11
Let v(p) be the second derivative of p**5/10 + p**4/2 - p**3/3 + 2*p**2 - 2*p. Let i be v(-5). Calculate the remainder when 34 is divided by 6/(-21) + i/(-7).
10
Suppose -11*t = -17*t + 480. Calculate the remainder when t is divided by 29.
22
Let z = 155 - 88. Calculate the remainder when z is divided by 17.
16
Suppose -k + 19 = -3*s, 0*k + k + s = 7. Let i(c) = 4*c. What is the remainder when k is divided by i(1)?
2
Suppose 2*q + 0*q + 4*s - 68 = 0, q + 5*s - 31 = 0. Calculate the remainder when q is divided by 13.
10
Suppose -44 = -4*y - 0. What is the remainder when 43 is divided by y?
10
Calculate the remainder when 43 is divided by 11/(-3 - 4/(-1)).
10
Let w = -1 + 3. Suppose -w*h - 18 = -5*h. What is the remainder when 1 is divided by (2/h)/(1/3)?
0
Suppose 5*t - 4*b = 0, t - b + 1 = -0*t. Let o be 66 + (2 - 0)/1. Suppose 0 = -t*a + 8*a - o. Calculate the remainder when a is divided by 9.
8
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